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//+------------------------------------------------------------------+
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//| Gaussian_Filter_Calculator.mqh |
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//| Calculation engine for the John Ehlers' Gaussian Filter. |
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//| Copyright 2025, xxxxxxxx |
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//+------------------------------------------------------------------+
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#property copyright "Copyright 2025, xxxxxxxx"
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#include <MyIncludes\HeikinAshi_Tools.mqh>
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//+==================================================================+
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//| |
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//| CLASS 1: CGaussianFilterCalculator (Base Class) |
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//| |
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//+==================================================================+
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class CGaussianFilterCalculator
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{
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protected:
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int m_period;
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double m_price[];
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// Filter coefficients
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double c0, a1, a2;
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virtual bool PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[]);
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public:
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CGaussianFilterCalculator(void) {};
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virtual ~CGaussianFilterCalculator(void) {};
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bool Init(int period);
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void Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &filter_buffer[]);
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};
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//+------------------------------------------------------------------+
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bool CGaussianFilterCalculator::Init(int period)
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{
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m_period = (period < 2) ? 2 : period;
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// Pre-calculate filter coefficients based on Ehlers' formulas
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double beta = 2.415 * (1.0 - cos(2.0 * M_PI / m_period));
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double alpha = -beta + sqrt(beta * beta + 2.0 * beta);
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c0 = alpha * alpha;
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a1 = 2.0 * (1.0 - alpha);
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a2 = -pow(1.0 - alpha, 2);
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return true;
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}
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//+------------------------------------------------------------------+
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void CGaussianFilterCalculator::Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[], double &filter_buffer[])
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{
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if(rates_total < 3)
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return;
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if(!PreparePriceSeries(rates_total, price_type, open, high, low, close))
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return;
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// --- State variables for recursive calculation ---
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double f1=0, f2=0; // f[1], f[2]
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// --- Initialization for the first few bars ---
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filter_buffer[0] = m_price[0];
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filter_buffer[1] = m_price[1];
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f1 = filter_buffer[1];
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f2 = filter_buffer[0];
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// --- Full recalculation loop for stability ---
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for(int i = 2; i < rates_total; i++)
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{
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double current_f = c0 * m_price[i] + a1 * f1 + a2 * f2;
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filter_buffer[i] = current_f;
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// Update state for next iteration
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f2 = f1;
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f1 = current_f;
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}
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}
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//+------------------------------------------------------------------+
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bool CGaussianFilterCalculator::PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[])
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{
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ArrayResize(m_price, rates_total);
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switch(price_type)
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{
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case PRICE_CLOSE:
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ArrayCopy(m_price, close, 0, 0, rates_total);
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break;
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case PRICE_OPEN:
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ArrayCopy(m_price, open, 0, 0, rates_total);
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break;
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case PRICE_HIGH:
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ArrayCopy(m_price, high, 0, 0, rates_total);
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break;
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case PRICE_LOW:
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ArrayCopy(m_price, low, 0, 0, rates_total);
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break;
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case PRICE_MEDIAN:
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for(int i=0; i<rates_total; i++)
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m_price[i] = (high[i]+low[i])/2.0;
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break;
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case PRICE_TYPICAL:
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for(int i=0; i<rates_total; i++)
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m_price[i] = (high[i]+low[i]+close[i])/3.0;
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break;
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case PRICE_WEIGHTED:
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for(int i=0; i<rates_total; i++)
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m_price[i] = (high[i]+low[i]+close[i]+close[i])/4.0;
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break;
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default:
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return false;
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}
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return true;
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}
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//+==================================================================+
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class CGaussianFilterCalculator_HA : public CGaussianFilterCalculator
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{
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private:
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CHeikinAshi_Calculator m_ha_calculator;
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protected:
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virtual bool PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[]) override;
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};
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//+------------------------------------------------------------------+
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bool CGaussianFilterCalculator_HA::PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[])
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{
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double ha_open[], ha_high[], ha_low[], ha_close[];
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ArrayResize(ha_open, rates_total);
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ArrayResize(ha_high, rates_total);
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ArrayResize(ha_low, rates_total);
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ArrayResize(ha_close, rates_total);
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m_ha_calculator.Calculate(rates_total, open, high, low, close, ha_open, ha_high, ha_low, ha_close);
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ArrayResize(m_price, rates_total);
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switch(price_type)
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{
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case PRICE_CLOSE:
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ArrayCopy(m_price, ha_close, 0, 0, rates_total);
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break;
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case PRICE_OPEN:
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ArrayCopy(m_price, ha_open, 0, 0, rates_total);
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break;
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case PRICE_HIGH:
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ArrayCopy(m_price, ha_high, 0, 0, rates_total);
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break;
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case PRICE_LOW:
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ArrayCopy(m_price, ha_low, 0, 0, rates_total);
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break;
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case PRICE_MEDIAN:
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for(int i=0; i<rates_total; i++)
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m_price[i] = (ha_high[i]+ha_low[i])/2.0;
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break;
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case PRICE_TYPICAL:
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for(int i=0; i<rates_total; i++)
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m_price[i] = (ha_high[i]+ha_low[i]+ha_close[i])/3.0;
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break;
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case PRICE_WEIGHTED:
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for(int i=0; i<rates_total; i++)
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m_price[i] = (ha_high[i]+ha_low[i]+ha_close[i]+ha_close[i])/4.0;
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break;
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default:
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return false;
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}
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return true;
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}
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//+------------------------------------------------------------------+
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//+------------------------------------------------------------------+
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