//+------------------------------------------------------------------+ //| ZeroLag_EMA_Calculator.mqh | //| Calculation engine for the John Ehlers' Zero-Lag EMA. | //| Copyright 2025, xxxxxxxx | //+------------------------------------------------------------------+ #property copyright "Copyright 2025, xxxxxxxx" #include //+==================================================================+ //| | //| CLASS 1: CZeroLagEMACalculator (Base Class) | //| | //+==================================================================+ class CZeroLagEMACalculator { protected: int m_period; double m_price[]; virtual bool PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[]); public: CZeroLagEMACalculator(void) {}; virtual ~CZeroLagEMACalculator(void) {}; bool Init(int period); void Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &zlema_buffer[]); }; //+------------------------------------------------------------------+ bool CZeroLagEMACalculator::Init(int period) { m_period = (period < 1) ? 1 : period; return true; } //+------------------------------------------------------------------+ void CZeroLagEMACalculator::Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &zlema_buffer[]) { if(rates_total < m_period * 2) return; if(!PreparePriceSeries(rates_total, price_type, open, high, low, close)) return; double alpha = 2.0 / (m_period + 1.0); // --- Intermediate buffers for the two EMA stages --- double ema1_buffer[], ema2_buffer[]; ArrayResize(ema1_buffer, rates_total); ArrayResize(ema2_buffer, rates_total); // --- State variables for recursive calculations --- double ema1_prev = 0; double ema2_prev = 0; // --- Full recalculation loop for stability --- for(int i = 0; i < rates_total; i++) { // Initialize first value with a simple average if(i == m_period - 1) { double sum = 0; for(int j=0; j= m_period) { // Step 1: Calculate first EMA on price double ema1 = m_price[i] * alpha + (1.0 - alpha) * ema1_prev; ema1_buffer[i] = ema1; // Initialize second EMA if(i == m_period * 2 - 2) { double sum = 0; for(int j=0; j= m_period * 2 - 1) { // Step 2: Calculate second EMA on the first EMA double ema2 = ema1_buffer[i] * alpha + (1.0 - alpha) * ema2_prev; ema2_buffer[i] = ema2; // Step 3 & 4: Calculate the difference (error) and add it back to the first EMA double diff = ema1_buffer[i] - ema2_buffer[i]; zlema_buffer[i] = ema1_buffer[i] + diff; ema2_prev = ema2; } ema1_prev = ema1; } } } //+------------------------------------------------------------------+ bool CZeroLagEMACalculator::PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[]) { ArrayResize(m_price, rates_total); switch(price_type) { case PRICE_CLOSE: ArrayCopy(m_price, close, 0, 0, rates_total); break; case PRICE_OPEN: ArrayCopy(m_price, open, 0, 0, rates_total); break; case PRICE_HIGH: ArrayCopy(m_price, high, 0, 0, rates_total); break; case PRICE_LOW: ArrayCopy(m_price, low, 0, 0, rates_total); break; case PRICE_MEDIAN: for(int i=0; i