NonLagMA_v7[1].1

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Author: Copyright � 2007, TrendLaboratory
NonLagMA_v7[1].1

This script is a sophisticated technical analysis tool designed to smooth out price movements on a trading chart while minimizing the "lag" typically associated with standard moving averages. In traditional indicators, there is often a delay between a price change and the indicator's reaction; this logic aims to reduce that delay to provide a more responsive view of current market trends.

Core Mathematical Logic

The tool uses a custom weighting system rather than a simple linear average. It calculates a series of coefficients based on trigonometric functions (specifically using cosine waves). These coefficients are applied to historical price data to create a balanced "Non-Lag" moving average. By mathematically distributing the weight of past prices differently, the indicator can react more quickly to new trends without creating the erratic "noise" that simpler fast averages might produce.

Trend Detection and Visualization

The script identifies market direction by comparing the current value of the moving average against its previous value. It categorizes these movements into three distinct visual outputs:

  • Main Average: The primary baseline representing the smoothed price.
  • Upward Trend: When the indicator detects a significant move upward that exceeds a specific threshold, it highlights the line in a different color (typically Lime).
  • Downward Trend: When the indicator detects a significant move downward exceeding the threshold, it highlights the line in another color (typically Red).

Advanced Filtering Features

To prevent the indicator from giving "false signals" during sideways or choppy markets, the script includes an optional dynamic filter. This feature measures the standard deviation of price changes; if the movement is too small or unstable to be considered a true trend, the indicator remains steady rather than flipping colors. This ensures that only meaningful momentum triggers a visual change.

Alerts and Notifications

The tool is equipped with an automated notification system to keep traders informed in real-time:

  • Visual Cues: It can automatically change colors on the chart to signal shifts from bullish to bearish (or vice versa).
  • Audio/Pop-up Alerts: The script monitors for specific trend reversals—where the direction flips from one to another. If these conditions are met and the user has enabled alerts, the system will generate a sound notification and a pop-up message on the screen indicating a potential "Buy" or "Sell" signal based on the change in momentum.
Indicators Used
Moving average indicator
Miscellaneous
Implements a curve of type %1It plays sound alerts
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NonLagMA_v7[1].1
//+------------------------------------------------------------------+
//|                                                NonLagMA_v7.1.mq4 |
//|                                Copyright © 2007, TrendLaboratory |
//|            http://finance.groups.yahoo.com/group/TrendLaboratory |
//|                                   E-mail: igorad2003@yahoo.co.uk |
//+------------------------------------------------------------------+
#property copyright "Copyright © 2007, TrendLaboratory"
#property link      "http://finance.groups.yahoo.com/group/TrendLaboratory"


#property indicator_chart_window
#property indicator_buffers 3
#property indicator_color1 Orange
#property indicator_width1 2
#property indicator_color2 Lime
#property indicator_width2 2
#property indicator_color3 Red
#property indicator_width3 2


//---- input parameters
extern int     Price          = 0;  //Apply to Price(0-Close;1-Open;2-High;3-Low;4-Median price;5-Typical price;6-Weighted Close) 
extern int     Length         = 15;  //Period of NonLagMA
extern int     Displace       = 0;  //DispLace or Shift 
extern double  PctFilter      = 0;  //Dynamic filter in decimal
extern string note1 ="turn on Color = 1; turn off = 0";
extern int     Color          = 1;  //Switch of Color mode (1-color)  
extern int     ColorBarBack   = 1;  //Bar back for color mode
extern double  Deviation      = 0;  //Up/down deviation        
extern string note2 ="turn on Alert = 1; turn off = 0";
extern int     AlertMode      = 0;  //Sound Alert switch (0-off,1-on) 
extern string note3 ="turn on Warning = 1; turn off = 0";
extern int     WarningMode    = 0;  //Sound Warning switch(0-off,1-on) 
//---- indicator buffers
double MABuffer[];
double UpBuffer[];
double DnBuffer[];
double trend[];
double Del[];
double AvgDel[];

double alfa[];
int i, Phase, Len,Cycle=4;
double Coeff, beta, t, Sum, Weight, g;
double pi = 3.1415926535;    
bool   UpTrendAlert=false, DownTrendAlert=false;
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
  int init()
  {
   IndicatorBuffers(6);
   SetIndexStyle(0,DRAW_LINE);
   SetIndexBuffer(0,MABuffer);
   SetIndexStyle(1,DRAW_LINE);
   SetIndexBuffer(1,UpBuffer);
   SetIndexStyle(2,DRAW_LINE);
   SetIndexBuffer(2,DnBuffer);
   SetIndexBuffer(3,trend);
   SetIndexBuffer(4,Del);
   SetIndexBuffer(5,AvgDel); 
   string short_name;
//---- indicator line
   
   IndicatorDigits(MarketInfo(Symbol(),MODE_DIGITS));
//---- name for DataWindow and indicator subwindow label
   short_name="NonLagMA("+Length+")";
   IndicatorShortName(short_name);
   SetIndexLabel(0,"NonLagMA");
   SetIndexLabel(1,"Up");
   SetIndexLabel(2,"Dn");
//----
   SetIndexShift(0,Displace);
   SetIndexShift(1,Displace);
   SetIndexShift(2,Displace);
   
   SetIndexEmptyValue(0,EMPTY_VALUE);
   SetIndexEmptyValue(1,EMPTY_VALUE);
   SetIndexEmptyValue(2,EMPTY_VALUE);
   
   SetIndexDrawBegin(0,Length*Cycle+Length+1);
   SetIndexDrawBegin(1,Length*Cycle+Length+1);
   SetIndexDrawBegin(2,Length*Cycle+Length+1);
//----
   
   Coeff =  3*pi;
   Phase = Length-1;
   Len = Length*4 + Phase;  
   ArrayResize(alfa,Len);
   Weight=0;    
      
      for (i=0;i<Len-1;i++)
      {
      if (i<=Phase-1) t = 1.0*i/(Phase-1);
      else t = 1.0 + (i-Phase+1)*(2.0*Cycle-1.0)/(Cycle*Length-1.0); 
      beta = MathCos(pi*t);
      g = 1.0/(Coeff*t+1);   
      if (t <= 0.5 ) g = 1;
      alfa[i] = g * beta;
      Weight += alfa[i];
      }
 
   return(0);
  }

//+------------------------------------------------------------------+
//| NonLagMA_v7.1                                                      |
//+------------------------------------------------------------------+
int start()
{
   int    i,shift, counted_bars=IndicatorCounted(),limit;
   double price;      
   if ( counted_bars > 0 )  limit=Bars-counted_bars;
   if ( counted_bars < 0 )  return(0);
   if ( counted_bars ==0 )  limit=Bars-Len-1; 
   if ( counted_bars < 1 ) 
   
   for(i=1;i<Length*Cycle+Length;i++) 
   {
   MABuffer[Bars-i]=0;    
   UpBuffer[Bars-i]=0;  
   DnBuffer[Bars-i]=0;  
   }
   
   for(shift=limit;shift>=0;shift--) 
   {	
      Sum = 0;
      for (i=0;i<=Len-1;i++)
	   { 
      price = iMA(NULL,0,1,0,3,Price,i+shift);      
      Sum += alfa[i]*price;
      
      }
   
	if (Weight > 0) MABuffer[shift] = (1.0+Deviation/100)*Sum/Weight;
   
      
      if (PctFilter>0)
      {
      Del[shift] = MathAbs(MABuffer[shift] - MABuffer[shift+1]);
   
      double sumdel=0;
      for (i=0;i<=Length-1;i++) sumdel = sumdel+Del[shift+i];
      AvgDel[shift] = sumdel/Length;
    
      double sumpow = 0;
      for (i=0;i<=Length-1;i++) sumpow+=MathPow(Del[shift+i]-AvgDel[shift+i],2);
      double StdDev = MathSqrt(sumpow/Length); 
     
      double Filter = PctFilter * StdDev;
     
      if( MathAbs(MABuffer[shift]-MABuffer[shift+1]) < Filter ) MABuffer[shift]=MABuffer[shift+1];
      }
      else
      Filter=0;
      
      if (Color>0)
      {
      trend[shift]=trend[shift+1];
      if (MABuffer[shift]-MABuffer[shift+1] > Filter) trend[shift]= 1; 
      if (MABuffer[shift+1]-MABuffer[shift] > Filter) trend[shift]=-1; 
         if (trend[shift]>0)
         {  
         UpBuffer[shift] = MABuffer[shift];
         if (trend[shift+ColorBarBack]<0) UpBuffer[shift+ColorBarBack]=MABuffer[shift+ColorBarBack];
         DnBuffer[shift] = EMPTY_VALUE;
         if (WarningMode>0 && trend[shift+1]<0 && shift==0) PlaySound("alert2.wav");
         }
         if (trend[shift]<0) 
         {
         DnBuffer[shift] = MABuffer[shift];
         if (trend[shift+ColorBarBack]>0) DnBuffer[shift+ColorBarBack]=MABuffer[shift+ColorBarBack];
         UpBuffer[shift] = EMPTY_VALUE;
         if (WarningMode>0 && trend[shift+1]>0 && shift==0) PlaySound("alert2.wav");
         }
      }
   }
//----------   
   string Message;
   
   if ( trend[2]<0 && trend[1]>0 && Volume[0]>1 && !UpTrendAlert)
	{
	Message = " "+Symbol()+" M"+Period()+": Signal for BUY";
	if ( AlertMode>0 ) Alert (Message); 
	UpTrendAlert=true; DownTrendAlert=false;
	} 
	 	  
	if ( trend[2]>0 && trend[1]<0 && Volume[0]>1 && !DownTrendAlert)
	{
	Message = " "+Symbol()+" M"+Period()+": Signal for SELL";
	if ( AlertMode>0 ) Alert (Message); 
	DownTrendAlert=true; UpTrendAlert=false;
	} 	         
//----
	return(0);	
}

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