//+------------------------------------------------------------------+ //| DSMA_Calculator.mqh | //| Calculation engine for the John Ehlers' DSMA. | //| Copyright 2025, xxxxxxxx | //+------------------------------------------------------------------+ #property copyright "Copyright 2025, xxxxxxxx" #include //+==================================================================+ //| | //| CLASS 1: CDSMACalculator (Base Class) | //| | //+==================================================================+ class CDSMACalculator { 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: CDSMACalculator(void) {}; virtual ~CDSMACalculator(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 &dsma_buffer[]); }; //+------------------------------------------------------------------+ bool CDSMACalculator::Init(int period) { m_period = (period < 4) ? 4 : period; return true; } //+------------------------------------------------------------------+ void CDSMACalculator::Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &dsma_buffer[]) { if(rates_total < m_period + 2) return; if(!PreparePriceSeries(rates_total, price_type, open, high, low, close)) return; // --- Intermediate buffers --- double zeros_buffer[], filt_buffer[]; ArrayResize(zeros_buffer, rates_total); ArrayResize(filt_buffer, rates_total); // --- Step 1: Calculate "Zeros" oscillator --- for(int i = 2; i < rates_total; i++) { zeros_buffer[i] = m_price[i] - m_price[i-2]; } // --- Step 2: Smooth "Zeros" with a SuperSmoother --- // Coefficients for SuperSmoother with Period/2 int ss_period = m_period / 2; double arg = 1.414 * M_PI / ss_period; double a1 = exp(-arg); double b1 = 2.0 * a1 * cos(arg); double c2 = b1; double c3 = -a1 * a1; double c1 = 1.0 - c2 - c3; double filt1=0, filt2=0; // Previous values for SuperSmoother for(int i = 2; i < rates_total; i++) { filt_buffer[i] = c1 * (zeros_buffer[i] + zeros_buffer[i-1]) / 2.0 + c2 * filt1 + c3 * filt2; filt2 = filt1; filt1 = filt_buffer[i]; } // --- Steps 3-6: Calculate RMS, Alpha, and final DSMA --- double dsma_prev = 0; for(int i = m_period + 1; i < rates_total; i++) { // Step 3: Compute RMS (Standard Deviation) double rms = 0; for(int j = 0; j < m_period; j++) { rms += filt_buffer[i-j] * filt_buffer[i-j]; } rms = sqrt(rms / m_period); // Step 4: Rescale Filt in terms of Standard Deviations double scaled_filt = 0; if(rms != 0) scaled_filt = filt_buffer[i] / rms; // Step 5: Calculate adaptive alpha double alpha1 = fabs(scaled_filt) * 5.0 / m_period; // Clamp alpha to prevent instability if(alpha1 > 1.0) alpha1 = 1.0; if(alpha1 < 2.0 / (m_period + 1.0)) alpha1 = 2.0 / (m_period + 1.0); // Prevent it from being too slow // Step 6: Calculate final DSMA value if(i == m_period + 1) dsma_prev = m_price[i]; // Initialize first value dsma_buffer[i] = alpha1 * m_price[i] + (1.0 - alpha1) * dsma_prev; dsma_prev = dsma_buffer[i]; } } //+------------------------------------------------------------------+ bool CDSMACalculator::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