//+------------------------------------------------------------------+ //| Gaussian_Bands_Calculator.mqh | //| Calculation engine for Bollinger-style bands using a | //| Gaussian Filter as the centerline. | //| Copyright 2025, xxxxxxxx | //+------------------------------------------------------------------+ #property copyright "Copyright 2025, xxxxxxxx" #include //+==================================================================+ class CGaussianBandsCalculator { protected: CGaussianFilterCalculator *m_calc_center; int m_period; double m_multiplier; 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: CGaussianBandsCalculator(void); virtual ~CGaussianBandsCalculator(void); bool Init(int period, double multiplier); void Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &upper_buffer[], double &lower_buffer[], double &middle_buffer[]); }; //+------------------------------------------------------------------+ CGaussianBandsCalculator::CGaussianBandsCalculator(void) { m_calc_center = NULL; } //+------------------------------------------------------------------+ CGaussianBandsCalculator::~CGaussianBandsCalculator(void) { if(CheckPointer(m_calc_center) != POINTER_INVALID) delete m_calc_center; } //+------------------------------------------------------------------+ bool CGaussianBandsCalculator::Init(int period, double multiplier) { m_period = (period < 2) ? 2 : period; m_multiplier = multiplier; if(CheckPointer(m_calc_center) == POINTER_INVALID) m_calc_center = new CGaussianFilterCalculator(); if(CheckPointer(m_calc_center) == POINTER_INVALID) return false; return(m_calc_center.Init(m_period, SOURCE_PRICE)); } //+------------------------------------------------------------------+ void CGaussianBandsCalculator::Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &upper_buffer[], double &lower_buffer[], double &middle_buffer[]) { if(rates_total < m_period) return; if(!PreparePriceSeries(rates_total, price_type, open, high, low, close)) return; // --- Step 1: Calculate Centerline using Gaussian Filter --- m_calc_center.Calculate(rates_total, price_type, open, high, low, close, middle_buffer); // --- Step 2: Calculate Standard Deviation --- for(int i = m_period - 1; i < rates_total; i++) { double sum_sq = 0; for(int j = 0; j < m_period; j++) { double diff = m_price[i-j] - middle_buffer[i-j]; sum_sq += diff * diff; } double std_dev = sqrt(sum_sq / m_period); // --- Step 3: Calculate Upper and Lower Bands --- if(middle_buffer[i] != EMPTY_VALUE) { upper_buffer[i] = middle_buffer[i] + m_multiplier * std_dev; lower_buffer[i] = middle_buffer[i] - m_multiplier * std_dev; } } } //+------------------------------------------------------------------+ bool CGaussianBandsCalculator::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); // For StdDev, we use the same price source as the filter itself 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