//+------------------------------------------------------------------+ //| ZScore_Calculator.mqh | //| Engine for Statistical Z-Score Calculation. | //| Standard Deviation distance from Moving Average. | //| Copyright 2026, xxxxxxxx | //+------------------------------------------------------------------+ #property copyright "Copyright 2026, xxxxxxxx" #include //+==================================================================+ //| CLASS: CZScoreCalculator | //+==================================================================+ class CZScoreCalculator { protected: int m_period; //--- Engine for Mean (SMA) CMovingAverageCalculator *m_ma_calc; //--- Buffers double m_price[]; double m_ma_buffer[]; virtual bool PreparePrice(int rates_total, int start_index, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[]); public: CZScoreCalculator(); virtual ~CZScoreCalculator(); bool Init(int period); void Calculate(int rates_total, int prev_calculated, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &out_z[]); }; //+------------------------------------------------------------------+ //| Constructor | //+------------------------------------------------------------------+ CZScoreCalculator::CZScoreCalculator() : m_ma_calc(NULL) { } //+------------------------------------------------------------------+ //| Destructor | //+------------------------------------------------------------------+ CZScoreCalculator::~CZScoreCalculator() { if(CheckPointer(m_ma_calc) == POINTER_DYNAMIC) delete m_ma_calc; } //+------------------------------------------------------------------+ //| Init | //+------------------------------------------------------------------+ bool CZScoreCalculator::Init(int period) { m_period = (period < 2) ? 2 : period; // Z-Score standard uses Simple Moving Average (SMA) for Mean m_ma_calc = new CMovingAverageCalculator(); if(!m_ma_calc.Init(m_period, SMA)) return false; return true; } //+------------------------------------------------------------------+ //| Main Calculation | //+------------------------------------------------------------------+ void CZScoreCalculator::Calculate(int rates_total, int prev_calculated, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &out_z[]) { if(rates_total < m_period) return; // 1. Resize Internal if(ArraySize(m_price) != rates_total) { ArrayResize(m_price, rates_total); ArrayResize(m_ma_buffer, rates_total); } // 2. Prepare Price Array if(!PreparePrice(rates_total, (prev_calculated>0 ? prev_calculated-1 : 0), price_type, open, high, low, close)) return; // 3. Calculate Mean (SMA) // We run this on m_price array m_ma_calc.CalculateOnArray(rates_total, prev_calculated, m_price, m_ma_buffer); // 4. Calculate Z-Score int start_index = (prev_calculated > 0) ? prev_calculated - 1 : m_period - 1; if(start_index < m_period - 1) start_index = m_period - 1; for(int i = start_index; i < rates_total; i++) { double sum_sq = 0; // Calculate Standard Deviation // StdDev = Sqrt( Sum( (Price - Mean)^2 ) / N ) // Note: Using Population StdDev formula here (divide by N), typical in trading. // Mean for this window is m_ma_buffer[i] for(int k = 0; k < m_period; k++) { double diff = m_price[i - k] - m_ma_buffer[i]; sum_sq += diff * diff; } double std_dev = MathSqrt(sum_sq / m_period); if(std_dev > 1.0e-9) // Anti-div-by-zero out_z[i] = (m_price[i] - m_ma_buffer[i]) / std_dev; else out_z[i] = 0.0; } } //+------------------------------------------------------------------+ //| Prepare Value | //+------------------------------------------------------------------+ bool CZScoreCalculator::PreparePrice(int rates_total, int start_index, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[]) { for(int i = start_index; i < rates_total; i++) { switch(price_type) { case PRICE_CLOSE: m_price[i] = close[i]; break; case PRICE_OPEN: m_price[i] = open[i]; break; case PRICE_HIGH: m_price[i] = high[i]; break; case PRICE_LOW: m_price[i] = low[i]; break; case PRICE_MEDIAN: m_price[i] = (high[i]+low[i])*0.5; break; case PRICE_TYPICAL: m_price[i] = (high[i]+low[i]+close[i])/3.0; break; case PRICE_WEIGHTED: m_price[i] = (high[i]+low[i]+close[i]*2.0)*0.25; break; default: m_price[i] = close[i]; break; } } return true; } //+------------------------------------------------------------------+ //+------------------------------------------------------------------+