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Fast & Slow Linear Regression
//+------------------------------------------------------------------+
//| Fast & Slow Linear Regression.mq4 |
//| Copyright 2023, MetaQuotes Software Corp. |
//| https://www.mql5.com |
//+------------------------------------------------------------------+
#property indicator_chart_window
#property indicator_buffers 2
#property indicator_color1 clrBlue
#property indicator_color2 clrRed
#property strict
// Input parameters
extern int FastPeriod = 20;
extern int SlowPeriod = 50;
// Buffers
double FastBuffer[];
double SlowBuffer[];
// Functions
int OnInit()
{
// Set the indicator buffer to hold a single value
SetIndexBuffer(0, FastBuffer, INDICATOR_DATA);
SetIndexBuffer(1, SlowBuffer, INDICATOR_DATA);
// Set the indicator line color
SetIndexStyle(0, DRAW_LINE, STYLE_SOLID, 2);
SetIndexStyle(1, DRAW_LINE, STYLE_SOLID, 2);
// Set the indicator to be displayed in a separate chart window
IndicatorSetString(INDICATOR_SHORTNAME, "Fast & Slow Linear Regression");
return(INIT_SUCCEEDED);
}
//+------------------------------------------------------------------+
//| |
//+------------------------------------------------------------------+
void OnDeinit(const int reason)
{
ObjectDelete(ChartID(),"Angle");
}
//+------------------------------------------------------------------+
//| |
//+------------------------------------------------------------------+
int OnCalculate(const int rates_total,
const int prev_calculated,
const datetime &time[],
const double &open[],
const double &high[],
const double &low[],
const double &close[],
const long &tick_volume[],
const long &volume[],
const int &spread[])
{
// Check if the number of rates is sufficient for the indicator
if(rates_total < FastPeriod || rates_total < SlowPeriod)
return(0);
// Calculate the fast linear regression line
double sum_x = 0.0, sum_y = 0.0, sum_xy = 0.0, sum_xx = 0.0;
for(int i = 0; i < FastPeriod; i++)
{
sum_x += i;
sum_y += close[i];
sum_xy += i * close[i];
sum_xx += i * i;
}
double slope = (FastPeriod * sum_xy - sum_x * sum_y) / (FastPeriod * sum_xx - sum_x * sum_x);
double intercept = (sum_y - slope * sum_x) / FastPeriod;
// Store the fast linear regression line values in the indicator buffer
for(int i = 0; i < rates_total; i++)
FastBuffer[i] = intercept + slope * i;
// Calculate the slow linear regression line
sum_x = 0.0;
sum_y = 0.0;
sum_xy = 0.0;
sum_xx = 0.0;
for(int i = 0; i < SlowPeriod; i++)
{
sum_x += i;
sum_y += close[i];
sum_xy += i * close[i];
sum_xx += i * i;
}
slope = (SlowPeriod * sum_xy - sum_x * sum_y) / (SlowPeriod * sum_xx - sum_x * sum_x);
intercept = (sum_y - slope * sum_x) / SlowPeriod;
// Store the slow linear regression line values in the indicator buffer
for(int i = 0; i < rates_total; i++)
SlowBuffer[i] = intercept + slope * i;
// Calculate the angle between the lines
// double angle = atan((SlowBuffer[rates_total - 1] - FastBuffer[rates_total - 1]) / (SlowPeriod - FastPeriod)) * 180.0 / M_PI;
double angle = atan2(SlowBuffer[rates_total - 1] - FastBuffer[rates_total - 1], SlowPeriod - FastPeriod) * 180.0 / M_PI;
// Plot the angle as text on the chart
string angle_text = "Angle: " + DoubleToString(angle, 2) + " degrees";
ObjectCreate("Angle", OBJ_LABEL, 0, 0, 0, 0);
ObjectSetText("Angle", angle_text, 9, "Arial", clrYellow);
// Set the number of rates to be displayed in the indicator
return(rates_total);
}
//+------------------------------------------------------------------+
//| |
//+------------------------------------------------------------------+
double atan2(double y, double x)
{
if(x == 0.0 && y == 0.0)
return(0.0);
if(x == 0.0)
return(y > 0.0 ? M_PI_2 : -M_PI_2);
return(atan(y / x));
}
//+------------------------------------------------------------------+
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