//+------------------------------------------------------------------+ //| Pascal_WMA.mq5 | //| Copyright 2025, xxxxxxxx| //| | //+------------------------------------------------------------------+ #property copyright "Copyright 2025, xxxxxxxx" #property version "1.00" #property description "Pascal's Triangle Weighted Moving Average. A zero-lag smoothing filter." #property indicator_chart_window #property indicator_buffers 1 #property indicator_plots 1 //--- Plot 1: Pascal WMA Line #property indicator_label1 "Pascal WMA" #property indicator_type1 DRAW_LINE #property indicator_color1 clrMediumPurple #property indicator_style1 STYLE_SOLID #property indicator_width1 2 //--- Input Parameters --- input int InpPeriod = 21; input ENUM_APPLIED_PRICE InpSourcePrice = PRICE_CLOSE; //--- Indicator Buffers --- double BufferWMA[]; double BufferPrice[]; //+------------------------------------------------------------------+ //| CLASS: CPascalWMACalculator | //| Encapsulates the logic for Pascal's Triangle weighting. | //+------------------------------------------------------------------+ class CPascalWMACalculator { private: int m_period; double m_weights[]; double m_weight_sum; public: CPascalWMACalculator(void); ~CPascalWMACalculator(void) {}; bool Init(int period); void Calculate(int rates_total, const double &price_src[], double &wma_out[]); }; //+------------------------------------------------------------------+ //| CPascalWMACalculator: Constructor | //+------------------------------------------------------------------+ CPascalWMACalculator::CPascalWMACalculator(void) : m_period(0), m_weight_sum(0) { } //+------------------------------------------------------------------+ //| CPascalWMACalculator: Initialization and Weight Generation | //+------------------------------------------------------------------+ bool CPascalWMACalculator::Init(int period) { m_period = (period < 2) ? 2 : period; ArrayResize(m_weights, m_period); m_weight_sum = 0; //--- Generate weights from Pascal's triangle row (n C k) //--- n = period - 1 for(int i = 0; i < m_period; i++) { long n = m_period - 1; long k = i; // Optimization for combinations: C(n, k) = C(n, n-k) if(k > n / 2) k = n - k; long res = 1; for(long j = 1; j <= k; j++) { // Defensive check to prevent division by zero, though j starts at 1 if(j == 0) continue; res = res * (n - j + 1) / j; } m_weights[i] = (double)res; m_weight_sum += m_weights[i]; } return (m_weight_sum != 0); } //+------------------------------------------------------------------+ //| CPascalWMACalculator: Main Calculation Method | //+------------------------------------------------------------------+ void CPascalWMACalculator::Calculate(int rates_total, const double &price_src[], double &wma_out[]) { if(rates_total < m_period) return; for(int i = m_period - 1; i < rates_total; i++) { double weighted_sum = 0; for(int j = 0; j < m_period; j++) { // Symmetrical weighting, use weights as generated weighted_sum += price_src[i - j] * m_weights[j]; } wma_out[i] = weighted_sum / m_weight_sum; } } //--- Global calculator object --- CPascalWMACalculator *g_calculator; //--- Forward declaration int PriceSeries(ENUM_APPLIED_PRICE,int,const double&[],const double&[],const double&[],const double&[],double&[]); //+------------------------------------------------------------------+ //| Custom indicator initialization function. | //+------------------------------------------------------------------+ int OnInit() { SetIndexBuffer(0, BufferWMA, INDICATOR_DATA); ArraySetAsSeries(BufferWMA, false); g_calculator = new CPascalWMACalculator(); if(CheckPointer(g_calculator) == POINTER_INVALID || !g_calculator.Init(InpPeriod)) { Print("Failed to initialize Pascal WMA Calculator."); return(INIT_FAILED); } PlotIndexSetInteger(0, PLOT_DRAW_BEGIN, InpPeriod - 1); IndicatorSetString(INDICATOR_SHORTNAME, StringFormat("PascalWMA(%d)", InpPeriod)); return(INIT_SUCCEEDED); } //+------------------------------------------------------------------+ //| Custom indicator deinitialization function. | //+------------------------------------------------------------------+ void OnDeinit(const int reason) { if(CheckPointer(g_calculator) != POINTER_INVALID) delete g_calculator; } //+------------------------------------------------------------------+ //| Custom indicator iteration function. | //+------------------------------------------------------------------+ int OnCalculate(const int rates_total, const int, const datetime&[], const double &open[], const double &high[], const double &low[], const double &close[], const long&[], const long&[], const int&[]) { ArrayResize(BufferPrice, rates_total); if(PriceSeries(InpSourcePrice, rates_total, open, high, low, close, BufferPrice) <= 0) return 0; if(CheckPointer(g_calculator) != POINTER_INVALID) { g_calculator.Calculate(rates_total, BufferPrice, BufferWMA); } return(rates_total); } //+------------------------------------------------------------------+ //| Helper function to get the selected price series. | //+------------------------------------------------------------------+ int PriceSeries(ENUM_APPLIED_PRICE type, int rates_total, const double &open[], const double &high[], const double &low[], const double &close[], double &dest_buffer[]) { switch(type) { case PRICE_CLOSE: ArrayCopy(dest_buffer, close, 0, 0, rates_total); break; case PRICE_OPEN: ArrayCopy(dest_buffer, open, 0, 0, rates_total); break; case PRICE_HIGH: ArrayCopy(dest_buffer, high, 0, 0, rates_total); break; case PRICE_LOW: ArrayCopy(dest_buffer, low, 0, 0, rates_total); break; case PRICE_MEDIAN: for(int i=0; i