//+------------------------------------------------------------------+ //| MAMA_Calculator.mqh | //| Calculation engine for the John Ehlers' MAMA and FAMA. | //| Copyright 2025, xxxxxxxx | //+------------------------------------------------------------------+ #property copyright "Copyright 2025, xxxxxxxx" #include //+==================================================================+ //| | //| CLASS 1: CMAMACalculator (Base Class) | //| | //+==================================================================+ class CMAMACalculator { protected: double m_fast_limit; double m_slow_limit; 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: CMAMACalculator(void) {}; virtual ~CMAMACalculator(void) {}; bool Init(double fast_limit, double slow_limit); void Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &mama_buffer[], double &fama_buffer[]); }; //+------------------------------------------------------------------+ bool CMAMACalculator::Init(double fast_limit, double slow_limit) { m_fast_limit = fast_limit; m_slow_limit = slow_limit; return true; } //+------------------------------------------------------------------+ void CMAMACalculator::Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &mama_buffer[], double &fama_buffer[]) { if(rates_total < 50) // MAMA needs a significant warmup period return; if(!PreparePriceSeries(rates_total, price_type, open, high, low, close)) return; // --- State variables for full recalculation loop --- double smooth=0, detrender=0, I1=0, Q1=0; double jI=0, jQ=0, I2=0, Q2=0, Re=0, Im=0; double period=0, smooth_period=0, phase=0, delta_phase=0; double I1_p[7]= {0}, Q1_p[7]= {0}, detrender_p[7]= {0}, smooth_p[5]= {0}; double I2_p[2]= {0}, Q2_p[2]= {0}; double Re_p[2]= {0}, Im_p[2]= {0}; double period_p[2]= {0}, smooth_period_p[2]= {0}; double phase_p[2]= {0}; double mama_prev=0, fama_prev=0; // --- Full recalculation loop for stability --- for(int i = 0; i < rates_total; i++) { // Shift history for(int k=6; k>0; k--) { I1_p[k]=I1_p[k-1]; Q1_p[k]=Q1_p[k-1]; detrender_p[k]=detrender_p[k-1]; } for(int k=4; k>0; k--) { smooth_p[k]=smooth_p[k-1]; } I2_p[1]=I2_p[0]; Q2_p[1]=Q2_p[0]; Re_p[1]=Re_p[0]; Im_p[1]=Im_p[0]; period_p[1]=period_p[0]; smooth_period_p[1]=smooth_period_p[0]; phase_p[1]=phase_p[0]; // --- Calculation starts after a few bars --- if(i > 5) { // 1. Smoothing smooth = (4*m_price[i] + 3*m_price[i-1] + 2*m_price[i-2] + m_price[i-3]) / 10.0; smooth_p[0] = smooth; // 2. Detrender (Band-pass filter) detrender = (0.0962*smooth_p[0] + 0.5769*smooth_p[2] - 0.5769*smooth_p[4] - 0.0962*smooth_p[0]) * (0.075*period_p[1] + 0.54); detrender_p[0] = detrender; // 3. InPhase and Quadrature components Q1 = (0.0962*detrender_p[0] + 0.5769*detrender_p[2] - 0.5769*detrender_p[4] - 0.0962*detrender_p[6]) * (0.075*period_p[1] + 0.54); I1 = detrender_p[3]; I1_p[0] = I1; Q1_p[0] = Q1; // 4. Phase advance jI = (0.0962*I1_p[0] + 0.5769*I1_p[2] - 0.5769*I1_p[4] - 0.0962*I1_p[6]) * (0.075*period_p[1] + 0.54); jQ = (0.0962*Q1_p[0] + 0.5769*Q1_p[2] - 0.5769*Q1_p[4] - 0.0962*Q1_p[6]) * (0.075*period_p[1] + 0.54); // 5. Phasor addition and smoothing I2 = I1 - jQ; Q2 = Q1 + jI; I2 = 0.2*I2 + 0.8*I2_p[1]; Q2 = 0.2*Q2 + 0.8*Q2_p[1]; I2_p[0] = I2; Q2_p[0] = Q2; // 6. Homodyne Discriminator Re = I2*I2_p[1] + Q2*Q2_p[1]; Im = I2*Q2_p[1] - Q2*I2_p[1]; Re = 0.2*Re + 0.8*Re_p[1]; Im = 0.2*Im + 0.8*Im_p[1]; Re_p[0] = Re; Im_p[0] = Im; // 7. Cycle Period Measurement if(Im!=0.0 && Re!=0.0) period = 360.0 / (atan(Im/Re) * 180.0/M_PI); if(period > 1.5*period_p[1]) period = 1.5*period_p[1]; if(period < 0.67*period_p[1]) period = 0.67*period_p[1]; if(period < 6) period = 6; if(period > 50) period = 50; period = 0.2*period + 0.8*period_p[1]; smooth_period = 0.33*period + 0.67*smooth_period_p[1]; period_p[0] = period; smooth_period_p[0] = smooth_period; // 8. Delta Phase if(I1 != 0.0) phase = atan(Q1/I1) * 180.0/M_PI; delta_phase = phase_p[1] - phase; if(delta_phase < 1.0) delta_phase = 1.0; phase_p[0] = phase; // 9. Adaptive Alpha double alpha = m_fast_limit / delta_phase; if(alpha < m_slow_limit) alpha = m_slow_limit; // 10. MAMA and FAMA Calculation mama_buffer[i] = alpha * m_price[i] + (1.0 - alpha) * mama_prev; fama_buffer[i] = 0.5 * alpha * mama_buffer[i] + (1.0 - 0.5 * alpha) * fama_prev; } else { mama_buffer[i] = m_price[i]; fama_buffer[i] = m_price[i]; } mama_prev = mama_buffer[i]; fama_prev = fama_buffer[i]; } } //+------------------------------------------------------------------+ bool CMAMACalculator::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