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refactor: calculation
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@@ -9,27 +9,16 @@
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//+==================================================================+
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//| |
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//| CLASS 1: CTDICalculator (Standard) |
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//| CLASS 1: CTDICalculator (Base Class) |
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//| |
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//+==================================================================+
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class CTDICalculator
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{
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protected:
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int m_rsi_period;
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int m_price_period;
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int m_signal_period;
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int m_base_period;
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int m_rsi_period, m_price_period, m_signal_period, m_base_period;
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double m_std_dev;
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double m_price[];
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double m_rsi_buffer[];
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double m_price_line[];
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double m_signal_line[];
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double m_base_line[];
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double m_upper_band[];
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double m_lower_band[];
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double CalculateSMA(int position, int period, const double &source_buffer[]);
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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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@@ -38,8 +27,8 @@ public:
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bool Init(int rsi_p, int price_p, int signal_p, int base_p, double dev);
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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[],
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double &price_line_out[], double &signal_line_out[], double &base_line_out[],
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double &upper_band_out[], double &lower_band_out[]);
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double &price_line_out[], double &signal_line_out[], double &base_line_out[],
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double &upper_band_out[], double &lower_band_out[]);
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};
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//+------------------------------------------------------------------+
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@@ -47,83 +36,99 @@ public:
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//+------------------------------------------------------------------+
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bool CTDICalculator::Init(int rsi_p, int price_p, int signal_p, int base_p, double dev)
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{
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m_rsi_period = (rsi_p < 1) ? 1 : rsi_p;
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m_price_period = (price_p < 1) ? 1 : price_p;
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m_rsi_period = (rsi_p < 1) ? 1 : rsi_p;
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m_price_period = (price_p < 1) ? 1 : price_p;
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m_signal_period = (signal_p < 1) ? 1 : signal_p;
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m_base_period = (base_p < 1) ? 1 : base_p;
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m_std_dev = (dev <= 0) ? 1.618 : dev;
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m_base_period = (base_p < 1) ? 1 : base_p;
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m_std_dev = (dev <= 0) ? 1.618 : dev;
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return true;
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}
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//+------------------------------------------------------------------+
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//| CTDICalculator: Main Calculation Method |
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//| CTDICalculator: Main Calculation Method (Definition-True) |
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//+------------------------------------------------------------------+
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void CTDICalculator::Calculate(int rates_total, ENUM_APPLIED_PRICE price_type, const double &open[], const double &high[], const double &low[], const double &close[],
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double &price_line_out[], double &signal_line_out[], double &base_line_out[],
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double &upper_band_out[], double &lower_band_out[])
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{
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if(rates_total <= m_rsi_period)
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if(rates_total <= m_rsi_period + m_base_period)
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return;
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ArrayResize(m_price, rates_total);
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ArrayResize(m_rsi_buffer, rates_total);
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ArrayResize(m_price_line, rates_total);
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ArrayResize(m_signal_line, rates_total);
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ArrayResize(m_base_line, rates_total);
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ArrayResize(m_upper_band, rates_total);
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ArrayResize(m_lower_band, rates_total);
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if(!PreparePriceSeries(rates_total, price_type, open, high, low, close))
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return;
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double rsi_buffer[];
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ArrayResize(rsi_buffer, rates_total);
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//--- STEP 1: Calculate RSI (Wilder's smoothing)
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double sum_pos = 0, sum_neg = 0;
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for(int i = 1; i < rates_total; i++)
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{
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double diff = m_price[i] - m_price[i-1];
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sum_pos = (sum_pos * (m_rsi_period - 1) + (diff > 0 ? diff : 0)) / m_rsi_period;
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sum_neg = (sum_neg * (m_rsi_period - 1) + (diff < 0 ? -diff : 0)) / m_rsi_period;
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if(i > m_rsi_period)
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if(i >= m_rsi_period)
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{
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if(sum_neg > 0)
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m_rsi_buffer[i] = 100.0 - (100.0 / (1.0 + (sum_pos / sum_neg)));
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rsi_buffer[i] = 100.0 - (100.0 / (1.0 + (sum_pos / sum_neg)));
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else
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m_rsi_buffer[i] = 100.0;
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rsi_buffer[i] = 100.0;
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}
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}
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for(int i = m_rsi_period + m_price_period; i < rates_total; i++)
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m_price_line[i] = CalculateSMA(i, m_price_period, m_rsi_buffer);
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for(int i = m_rsi_period + m_price_period + m_signal_period; i < rates_total; i++)
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m_signal_line[i] = CalculateSMA(i, m_signal_period, m_price_line);
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for(int i = m_rsi_period + m_price_period + m_base_period; i < rates_total; i++)
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m_base_line[i] = CalculateSMA(i, m_base_period, m_price_line);
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for(int i = m_rsi_period + m_price_period + m_base_period; i < rates_total; i++)
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//--- STEP 2: Calculate Price Line (SMA on RSI)
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for(int i = m_rsi_period + m_price_period - 2; i < rates_total; i++)
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{
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double std_dev_val = 0, sum_sq = 0;
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for(int j = 0; j < m_base_period; j++)
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sum_sq += pow(m_price_line[i-j] - m_base_line[i], 2);
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std_dev_val = sqrt(sum_sq / m_base_period);
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m_upper_band[i] = m_base_line[i] + m_std_dev * std_dev_val;
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m_lower_band[i] = m_base_line[i] - m_std_dev * std_dev_val;
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double sum=0;
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for(int j=0; j<m_price_period; j++)
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sum+=rsi_buffer[i-j];
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price_line_out[i]=sum/m_price_period;
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}
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ArrayCopy(price_line_out, m_price_line, 0, 0, rates_total);
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ArrayCopy(signal_line_out, m_signal_line, 0, 0, rates_total);
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ArrayCopy(base_line_out, m_base_line, 0, 0, rates_total);
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ArrayCopy(upper_band_out, m_upper_band, 0, 0, rates_total);
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ArrayCopy(lower_band_out, m_lower_band, 0, 0, rates_total);
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//--- STEP 3: Calculate Signal Line (SMA on Price Line)
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for(int i = m_rsi_period + m_price_period + m_signal_period - 3; i < rates_total; i++)
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{
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double sum=0;
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for(int j=0; j<m_signal_period; j++)
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sum+=price_line_out[i-j];
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signal_line_out[i]=sum/m_signal_period;
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}
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//--- STEP 4: Calculate Base Line (SMA on Price Line)
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for(int i = m_rsi_period + m_price_period + m_base_period - 3; i < rates_total; i++)
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{
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double sum=0;
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for(int j=0; j<m_base_period; j++)
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sum+=price_line_out[i-j];
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base_line_out[i]=sum/m_base_period;
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}
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//--- STEP 5: Calculate Volatility Bands (Bollinger Bands on Base Line, using RSI data for StdDev)
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int bands_start = m_rsi_period + m_base_period - 2; // BBands on RSI, centered on Base Line
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for(int i = bands_start; i < rates_total; i++)
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{
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double std_dev = 0, sum_sq = 0;
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// The standard deviation for TDI bands is calculated on the RSI, not the base line itself.
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double base_line_ma_on_rsi = 0;
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double sum_rsi = 0;
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for(int j=0; j<m_base_period; j++)
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sum_rsi += rsi_buffer[i-j];
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base_line_ma_on_rsi = sum_rsi / m_base_period;
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for(int j = 0; j < m_base_period; j++)
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sum_sq += MathPow(rsi_buffer[i-j] - base_line_ma_on_rsi, 2);
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std_dev = MathSqrt(sum_sq / m_base_period);
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upper_band_out[i] = base_line_out[i] + m_std_dev * std_dev;
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lower_band_out[i] = base_line_out[i] - m_std_dev * std_dev;
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}
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}
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//+------------------------------------------------------------------+
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//| CTDICalculator: Prepares the source price series. |
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//| CTDICalculator: Prepares the standard source price series. |
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//+------------------------------------------------------------------+
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bool CTDICalculator::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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@@ -156,17 +161,6 @@ bool CTDICalculator::PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE pric
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return true;
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}
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//+------------------------------------------------------------------+
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//| CTDICalculator: Helper to calculate SMA on an internal buffer |
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//+------------------------------------------------------------------+
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double CTDICalculator::CalculateSMA(int position, int period, const double &source_buffer[])
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{
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double sum = 0;
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for(int i = 0; i < period; i++)
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sum += source_buffer[position - i];
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return (period > 0) ? sum / period : 0;
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}
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//+==================================================================+
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//| |
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//| CLASS 2: CTDICalculator_HA (Heikin Ashi) |
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@@ -176,13 +170,12 @@ class CTDICalculator_HA : public CTDICalculator
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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[]);
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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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//| CTDICalculator_HA: Prepares the source price series. |
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//| CTDICalculator_HA: Prepares the Heikin Ashi source price. |
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//+------------------------------------------------------------------+
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bool CTDICalculator_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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@@ -193,8 +186,36 @@ bool CTDICalculator_HA::PreparePriceSeries(int rates_total, ENUM_APPLIED_PRICE p
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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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//--- The HA version ALWAYS uses the HA Close price for the RSI calculation
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ArrayCopy(m_price, ha_close, 0, 0, rates_total);
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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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