MA_AllAverages_v2.2_mtf





//+------------------------------------------------------------------+
//|                                             AllAverages_v2.2.mq4 |
//|                             Copyright © 2007-08, TrendLaboratory |
//|            http://finance.groups.yahoo.com/group/TrendLaboratory |
//|                                   E-mail: igorad2003@yahoo.co.uk |
//+------------------------------------------------------------------+
// List of MAs:
// MA_Method= 0: SMA        - Simple Moving Average
// MA_Method= 1: EMA        - Exponential Moving Average
// MA_Method= 2: Wilder     - Wilder Exponential Moving Average
// MA_Method= 3: LWMA       - Linear Weighted Moving Average 
// MA_Method= 4: SineWMA    - Sine Weighted Moving Average
// MA_Method= 5: TriMA      - Triangular Moving Average
// MA_Method= 6: LSMA       - Least Square Moving Average (or EPMA, Linear Regression Line)
// MA_Method= 7: SMMA       - Smoothed Moving Average
// MA_Method= 8: HMA        - Hull Moving Average by Alan Hull
// MA_Method= 9: ZeroLagEMA - Zero-Lag Exponential Moving Average
// MA_Method=10: DEMA       - Double Exponential Moving Average by Patrick Mulloy
// MA_Method=11: T3         - T3 by T.Tillson
// MA_Method=12: ITrend     - Instantaneous Trendline by J.Ehlers
// MA_Method=13: Median     - Moving Median
// MA_Method=14: GeoMean    - Geometric Mean
// MA_Method=15: REMA       - Regularized EMA by Chris Satchwell
// MA_Method=16: ILRS       - Integral of Linear Regression Slope 
// MA_Method=17: IE/2       - Combination of LSMA and ILRS 
// MA_Method=18: TriMAgen   - Triangular Moving Average generalized by J.Ehlers
// MA_Method=19: VWMA       - Volume Weighted Moving Average 
// List of Prices:
// Price    = 0 - Close  
// Price    = 1 - Open  
// Price    = 2 - High  
// Price    = 3 - Low  
// Price    = 4 - Median Price   = (High+Low)/2  
// Price    = 5 - Typical Price  = (High+Low+Close)/3  
// Price    = 6 - Weighted Close = (High+Low+Close*2)/4
// Price    = 7 - Heiken Ashi Close   haClose = (Open +High+Low+Close)/4;
// Price    = 8 - Heiken Ashi Open  haOpen = (Open[i+1]+Close[i+1])/2; (previous bar (Open+Close)/2)
// Price    = 9 - Heiken Ashi High  haHigh = Max (High, Open, Close);
// Price    =10 - Heiken Ashi Low  haLow = Min (Low, Open, Close) ;




#property copyright "Copyright © 2007-08, TrendLaboratory"
#property link      "http://finance.groups.yahoo.com/group/TrendLaboratory"

#property indicator_chart_window
#property indicator_buffers 3
#property indicator_color1  Yellow
#property indicator_width1  2  
#property indicator_color2  DeepSkyBlue
#property indicator_width2  2  
#property indicator_color3  Tomato
#property indicator_width3  2  
//---- 
extern int TimeFrame    =  0;
extern int MA_Period    = 14;
extern int Price        =  0;
extern int MA_Shift     =  0;
extern int Color_Mode   =  0;
extern int MA_Method    =  0;
//---- 
double MA[];
double Up[];
double Dn[];
//----
double tmp[][6];
double haClose[], haOpen[], haHigh[], haLow[];
int    draw_begin, mBars, pBars, mcnt_bars; 
string short_name;

extern string note_MA_Method ="0SMA 1EMA 2WilderSMMA 3LWMA ";
extern string _____  ="4SineWMA 5TriMA 6LSMA 7SMMA ";
extern string ____   ="8HMA 9ZeroLagEMA 10DEMA 11T3";
extern string ___    ="12iTrendJEhlers 13Median ";
extern string __     ="14GeoMean 15REMA 16ILRS";
extern string _      ="17IE/2 18TriMAgen 19VWMA ";



extern string   note_Price  = "0C 1O 2H 3L 4Md 5Tp 6WghC"; 
extern string   _________   = "Md(HL/2)4,Tp(HLC/3)5,Wgh(HLCC/4)6";
extern string   HA_price_   = "7haC 8haO 9haH 10haL";
extern string   _______     = "haC=(O+H+L+C)/4; haO=(O[i+1]+C[i+1])/2;haH=Max(H,O,C);haL=Min(L,O,C)";

extern string   TimeFrames = "M1;5,15,30,60H1;240H4;1440D1;10080W1;43200MN";


//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
int init()
{
//---- 
   IndicatorDigits(MarketInfo(Symbol(),MODE_DIGITS)+2);
   SetIndexStyle(0,DRAW_LINE);
   SetIndexStyle(1,DRAW_LINE);
   SetIndexStyle(2,DRAW_LINE);
   if(TimeFrame == 0 || TimeFrame < Period()) TimeFrame = Period();
   SetIndexShift(0,MA_Shift*TimeFrame/Period());
   SetIndexShift(1,MA_Shift*TimeFrame/Period());
   SetIndexShift(2,MA_Shift*TimeFrame/Period());
   draw_begin=MA_Period*TimeFrame/Period();
//---- 
   switch(MA_Method)
   {
   case 1 : short_name="EMA(";  break;
   case 2 : short_name="Wilder("; break;
   case 3 : short_name="LWMA("; break;
   case 4 : short_name="SineWMA("; break;
   case 5 : short_name="TriMA("; break;
   case 6 : short_name="LSMA("; break;
   case 7 : short_name="SMMA("; break;
   case 8 : short_name="HMA("; break;
   case 9 : short_name="ZeroLagEMA("; break;
   case 10: short_name="DEMA(";  break;
   case 11: short_name="T3(";  break;
   case 12: short_name="InstTrend(";  break;
   case 13: short_name="Median(";  break;
   case 14: short_name="GeometricMean("; break;
   case 15: short_name="REMA(";  break;
   case 16: short_name="ILRS(";  break;
   case 17: short_name="IE/2(";  break;
   case 18: short_name="TriMA_gen("; break;
   case 19: short_name="VWMA("; break;
   default: MA_Method=0; short_name="SMA(";
   }
   
   switch(TimeFrame)
   {
   case 1     : string TF = "M1"; break;
   case 5     : TF = "M5"; break;
   case 15    : TF = "M15"; break;
   case 30    : TF = "M30"; break;
   case 60    : TF = "H1"; break;
   case 240   : TF ="H4"; break;
   case 1440  : TF="D1"; break;
   case 10080 : TF="W1"; break;
   case 43200 : TF="MN1"; break;
   default    : TF="Current";
   } 
   
   IndicatorShortName(short_name+MA_Period+")"+" "+TF);
   SetIndexDrawBegin(0,draw_begin);
   SetIndexDrawBegin(1,draw_begin);
   SetIndexDrawBegin(2,draw_begin);
   SetIndexLabel(0,short_name+MA_Period+")"+" "+TF);
   SetIndexLabel(1,short_name+MA_Period+")"+" "+TF+" UpTrend");
   SetIndexLabel(2,short_name+MA_Period+")"+" "+TF+" DnTrend");
//---- 
   SetIndexBuffer(0,MA);
   SetIndexBuffer(1,Up);
   SetIndexBuffer(2,Dn);
//---- 
   return(0);
}
//+------------------------------------------------------------------+
//| AllAverages_v2.2                                                 |
//+------------------------------------------------------------------+
int start()
{
   int limit, y, i, shift, cnt_bars=IndicatorCounted(); 
   double aPrice[], mMA[], mUp[], mDn[];
  
   if(TimeFrame!=Period()) mBars = iBars(NULL,TimeFrame); else mBars = Bars;   
   
   if(mBars != pBars)
   {
   ArrayResize(aPrice,mBars);
   ArrayResize(mMA,mBars);
   if(MA_Method==10 || MA_Method==11) ArrayResize(tmp,mBars);
      if(Color_Mode ==1)
      {
      ArrayResize(mUp,mBars);
      ArrayResize(mDn,mBars);
      }
      if(Price > 6 && Price <= 10)
      {
      ArrayResize(haClose,mBars);
      ArrayResize(haOpen,mBars);
      ArrayResize(haHigh,mBars);
      ArrayResize(haLow,mBars);
      }
   pBars = mBars;
   }  
   
   if(cnt_bars<1)
   {
      for(i=1;i<=draw_begin;i++)
      { 
      MA[Bars-i]=iMA(NULL,TimeFrame,1,0,0,Price,Bars-i); 
      Up[Bars-i]=EMPTY_VALUE;
      Dn[Bars-i]=EMPTY_VALUE;
      }
   mcnt_bars = 0;
   
   }
//---- 
   if(mcnt_bars > 0) mcnt_bars--;
   
   for(y=mcnt_bars;y<mBars;y++)
   {
      if(Price <= 6) aPrice[y] = iMA(NULL,TimeFrame,1,0,0,Price,mBars-y-1);   
      else
      if(Price > 6 && Price <= 10) aPrice[y] = HeikenAshi(TimeFrame,Price-7,mBars-y-1);
      
      switch(MA_Method)
      {
      case 1 : mMA[y] = EMA(aPrice[y],mMA,MA_Period,y); break;
      case 2 : mMA[y] = Wilder(aPrice,mMA,MA_Period,y); break;  
      case 3 : mMA[y] = LWMA(aPrice,MA_Period,y); break;
      case 4 : mMA[y] = SineWMA(aPrice,MA_Period,y); break;
      case 5 : mMA[y] = TriMA(aPrice,MA_Period,y); break;
      case 6 : mMA[y] = LSMA(aPrice,MA_Period,y); break;
      case 7 : mMA[y] = SMMA(aPrice,mMA,MA_Period,y); break;
      case 8 : mMA[y] = HMA(aPrice,MA_Period,y); break;
      case 9 : mMA[y] = ZeroLagEMA(aPrice,mMA,MA_Period,y); break;
      case 10: mMA[y] = DEMA(0,aPrice[y],MA_Period,1,y); break;
      case 11: mMA[y] = T3(aPrice[y],MA_Period,0.7,y); break;
      case 12: mMA[y] = ITrend(aPrice,mMA,MA_Period,y); break;
      case 13: mMA[y] = Median(aPrice,MA_Period,y); break;
      case 14: mMA[y] = GeoMean(aPrice,MA_Period,y); break;
      case 15: mMA[y] = REMA(aPrice[y],mMA,MA_Period,0.5,y); break;
      case 16: mMA[y] = ILRS(aPrice,MA_Period,y); break;
      case 17: mMA[y] = IE2(aPrice,MA_Period,y); break;
      case 18: mMA[y] = TriMA_gen(aPrice,MA_Period,y); break;
      case 19: mMA[y] = VWMA(aPrice,MA_Period,y); break;
      default: mMA[y] = SMA(aPrice,MA_Period,y); break;
      }
   
      if(Color_Mode == 1)
      {
         if(mMA[y] > mMA[y-1]) {mUp[y] = mMA[y]; mDn[y] = EMPTY_VALUE;}
         else
         if(mMA[y] < mMA[y-1]) {mUp[y] = EMPTY_VALUE; mDn[y] = mMA[y];}
         else
         {mUp[y] = EMPTY_VALUE; mDn[y] = EMPTY_VALUE;}
      }
   
      if(TimeFrame == Period()) 
      {
      MA[mBars-y-1] = mMA[y];
         if(Color_Mode == 1)
         {  
         Up[mBars-y-1] = mUp[y];
         Dn[mBars-y-1] = mDn[y];
         }
      }
      
   }
   mcnt_bars = mBars-1;
   
   if(TimeFrame > Period())
   { 
      if(cnt_bars>0) cnt_bars--;
      limit = Bars-cnt_bars+TimeFrame/Period()-1;
      
      for(shift=0,y=0;shift<limit;shift++)
      {
      if (Time[shift] < iTime(NULL,TimeFrame,y)) y++; 
      MA[shift] = mMA[mBars-y-1];
         if(Color_Mode == 1)
         {
         Up[shift] = mUp[mBars-y-1];
         Dn[shift] = mDn[mBars-y-1];
         }
      }
   }
   
//---- 
   return(0);
}

// MA_Method=0: SMA - Simple Moving Average
double SMA(double array[],int per,int bar)
{
   double Sum = 0;
   for(int i = 0;i < per;i++) Sum += array[bar-i];
   
   return(Sum/per);
}                
// MA_Method=1: EMA - Exponential Moving Average
double EMA(double price,double array[],int per,int bar)
{
   if(bar == 2) double ema = price;
   else 
   if(bar > 2) ema = array[bar-1] + 2.0/(1+per)*(price - array[bar-1]); 
   
   return(ema);
}
// MA_Method=2: Wilder - Wilder Exponential Moving Average
double Wilder(double array1[],double array2[],int per,int bar)
{
   if(bar == per) double wilder = SMA(array1,per,bar);
   else 
   if(bar > per) wilder = array2[bar-1] + (array1[bar] - array2[bar-1])/per; 
   
   return(wilder);
}
// MA_Method=3: LWMA - Linear Weighted Moving Average 
double LWMA(double array[],int per,int bar)
{
   double Sum = 0;
   double Weight = 0;
   
      for(int i = 0;i < per;i++)
      { 
      Weight+= (per - i);
      Sum += array[bar-i]*(per - i);
      }
   if(Weight>0) double lwma = Sum/Weight;
   else lwma = 0; 
   return(lwma);
} 
// MA_Method=4: SineWMA - Sine Weighted Moving Average
double SineWMA(double array[],int per,int bar)
{
   double pi = 3.1415926535;
   double Sum = 0;
   double Weight = 0;
  
      for(int i = 0;i < per-1;i++)
      { 
      Weight+= MathSin(pi*(i+1)/(per+1));
      Sum += array[bar-i]*MathSin(pi*(i+1)/(per+1)); 
      }
   if(Weight>0) double swma = Sum/Weight;
   else swma = 0; 
   return(swma);
}
// MA_Method=5: TriMA - Triangular Moving Average
double TriMA(double array[],int per,int bar)
{
   double sma;
   int len = MathCeil((per+1)*0.5);
   
   double sum=0;
   for(int i = 0;i < len;i++) 
   {
   sma = SMA(array,len,bar-i);
   sum += sma;
   } 
   double trima = sum/len;
   
   return(trima);
}
// MA_Method=6: LSMA - Least Square Moving Average (or EPMA, Linear Regression Line)
double LSMA(double array[],int per,int bar)
{   
   double Sum=0;
   for(int i=per; i>=1; i--) Sum += (i-(per+1)/3.0)*array[bar-per+i];
   double lsma = Sum*6/(per*(per+1));
   return(lsma);
}
// MA_Method=7: SMMA - Smoothed Moving Average
double SMMA(double array1[],double array2[],int per,int bar)
{
   if(bar == per) double smma = SMA(array1,per,bar);
   else 
   if(bar > per)
   {
   double Sum = 0;
   for(int i = 0;i < per;i++) Sum += array1[bar-i-1];
   smma = (Sum - array2[bar-1] + array1[bar])/per;
   }
   return(smma);
}                
// MA_Method=8: HMA - Hull Moving Average by Alan Hull
double HMA(double array[],int per,int bar)
{
   double tmp[];
   int len =  MathSqrt(per);
   ArrayResize(tmp,len);
   
   if(bar == per) double hma = array[bar]; 
   else
   if(bar > per)
   {
   for(int i = 0; i < len;i++) tmp[len-i-1] = 2*LWMA(array,per/2,bar-i) - LWMA(array,per,bar-i);  
   hma = LWMA(tmp,len,len-1); 
   }  

   return(hma);
}
// MA_Method=9: ZeroLagEMA - Zero-Lag Exponential Moving Average
double ZeroLagEMA(double array1[],double array2[],int per,int bar)
{
   double alfa = 2.0/(1+per); 
   int lag = 0.5*(per - 1); 
   
   if(bar == lag) double zema = array1[bar];
   else 
   if(bar > lag) zema = alfa*(2*array1[bar] - array1[bar-lag]) + (1-alfa)*array2[bar-1];
   
   return(zema);
}
// MA_Method=10: DEMA - Double Exponential Moving Average by Patrick Mulloy
double DEMA(int num,double price,int per,double v,int bar)
{
   if(bar == 2) {double dema = price; tmp[bar][num] = dema; tmp[bar][num+1] = dema;}
   else 
   if(bar > 2) 
   {
   tmp[bar][num] = tmp[bar-1][num] + 2.0/(1+per)*(price - tmp[bar-1][num]); 
   tmp[bar][num+1] = tmp[bar-1][num+1] + 2.0/(1+per)*(tmp[bar][num] - tmp[bar-1][num+1]); 
   dema = (1+v)*tmp[bar][num] - v*tmp[bar][num+1];
   }
   return(dema);
}
// MA_Method=11: T3 by T.Tillson
double T3(double price,int per,double v,int bar)
{
   if(bar == 2) 
   {
   double T3 = price; 
   for(int k=0;k<=5;k++) tmp[bar][k] = T3;
   }
   else 
   if(bar > 2) 
   {
   double dema1 = DEMA(0,price,per,v,bar); 
   double dema2 = DEMA(2,dema1,per,v,bar); 
   T3 = DEMA(4,dema2,per,v,bar);
   }
   return(T3);
}
// MA_Method=12: ITrend - Instantaneous Trendline by J.Ehlers
double ITrend(double price[],double array[],int per,int bar)
{
   double alfa = 2.0/(per+1);
   if(bar > 7)
   double it = (alfa - alfa*alfa/4)*price[bar]+ 0.5*alfa*alfa*price[bar-1]-(alfa - 0.75*alfa*alfa)*price[bar-2]+
   2*(1-alfa)*array[bar-1] - (1-alfa)*(1-alfa)*array[bar-2];
   else
   it = (price[bar] + 2*price[bar-1]+ price[bar-2])/4;
   
   return(it);
}
// MA_Method=13: Median - Moving Median
double Median(double price[],int per,int bar)
{
   double array[];
   ArrayResize(array,per);
   
   for(int i = 0; i < per;i++) array[i] = price[bar-i];
   ArraySort(array);
   
   int num = MathRound((per-1)/2); 
   if(MathMod(per,2)>0) double median = array[num]; else median = 0.5*(array[num]+array[num+1]);
   
   return(median); 
}
// MA_Method=14: GeoMean - Geometric Mean
double GeoMean(double price[],int per,int bar)
{
   double gmean = MathPow(price[bar],1.0/per); 
   for(int i = 1; i < per;i++) gmean *= MathPow(price[bar-i],1.0/per); 
   
   return(gmean);
}
// MA_Method=15: REMA - Regularized EMA by Chris Satchwell 
double REMA(double price,double array[],int per,double lambda,int bar)
{
   double alpha =  2.0/(per + 1);
   if(bar <= 3) double rema = price;
   else 
   if(bar > 3) 
   rema = (array[bar-1]*(1+2*lambda) + alpha*(price - array[bar-1]) - lambda*array[bar-2])/(1+lambda); 
   
   return(rema);
}
// MA_Method=16: ILRS - Integral of Linear Regression Slope 
double ILRS(double price[],int per,int bar)
{
   double sum = per*(per-1)*0.5;
   double sum2 = (per-1)*per*(2*per-1)/6.0;
     
   double sum1 = 0;
   double sumy = 0;
      for(int i=0;i<per;i++)
      { 
      sum1 += i*price[bar-i];
      sumy += price[bar-i];
      }
   double num1 = per*sum1 - sum*sumy;
   double num2 = sum*sum - per*sum2;
   
   if(num2 != 0) double slope = num1/num2; else slope = 0; 
   double ilrs = slope + SMA(price,per,bar);
   
   return(ilrs);
}
// MA_Method=17: IE/2 - Combination of LSMA and ILRS 
double IE2(double price[],int per,int bar)
{
   double ie = 0.5*(ILRS(price,per,bar) + LSMA(price,per,bar));
      
   return(ie); 
}
 
// MA_Method=18: TriMAgen - Triangular Moving Average Generalized by J.Ehlers
double TriMA_gen(double array[],int per,int bar)
{
   int len1 = MathFloor((per+1)*0.5);
   int len2 = MathCeil((per+1)*0.5);
   double sum=0;
   for(int i = 0;i < len2;i++) sum += SMA(array,len1,bar-i);
   double trimagen = sum/len2;
   
   return(trimagen);
}

// MA_Method=19: VWMA - Volume Weighted Moving Average 
double VWMA(double array[],int per,int bar)
{
   double Sum = 0;
   double Weight = 0;
   
      for(int i = 0;i < per;i++)
      { 
      Weight+= Volume[mBars-bar-1+i];
      Sum += array[bar-i]*Volume[mBars-bar-1+i];
      }
   if(Weight>0) double vwma = Sum/Weight;
   else vwma = 0; 
   return(vwma);
} 


double HeikenAshi(int tf,int price,int bar)
{ 
   if(bar == iBars(NULL,TimeFrame)- 1) 
   {
   haClose[bar] = iClose(NULL,tf,bar);
   haOpen[bar]  = iOpen(NULL,tf,bar);
   haHigh[bar]  = iHigh(NULL,tf,bar);
   haLow[bar]   = iLow(NULL,tf,bar);
   }
   else
   {
   haClose[bar] = (iOpen(NULL,tf,bar)+iHigh(NULL,tf,bar)+iLow(NULL,tf,bar)+iClose(NULL,tf,bar))/4;
   haOpen[bar]  = (haOpen[bar+1]+haClose[bar+1])/2;
   haHigh[bar]  = MathMax(iHigh(NULL,tf,bar),MathMax(haOpen[bar], haClose[bar]));
   haLow[bar]   = MathMin(iLow(NULL,tf,bar),MathMin(haOpen[bar], haClose[bar]));
   }
   
   switch(price)
   {
   case 0: return(haClose[bar]);break;
   case 1: return(haOpen[bar]);break;
   case 2: return(haHigh[bar]);break;
   case 3: return(haLow[bar]);break;
   }
}     
   
        		



Sample





Analysis



Market Information Used:

Series array that contains close prices for each bar
Series array that contains the highest prices of each bar
Series array that contains the lowest prices of each bar
Series array that contains open prices of each bar
Series array that contains open time of each bar
Series array that contains tick volumes of each bar


Indicator Curves created:

Implements a curve of type DRAW_LINE


Indicators Used:

Moving average indicator


Custom Indicators Used:

Order Management characteristics:

Other Features: