//------------------------------------------------------------------
#property copyright "www.forex-tsd.com"
#property link      "www.forex-tsd.com"
//------------------------------------------------------------------
#property indicator_chart_window
#property indicator_buffers 1
#property indicator_color1  PaleVioletRed
#property indicator_width1  2
#property indicator_level1  0
#property indicator_levelcolor DarkGray

//
//
//
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//

extern double EmaPeriod = 14;
extern int    Price     = PRICE_CLOSE;
extern int    RsiPeriod = 14;
extern int    RsiMethod = 0;
extern string _         = "rsi methods";
extern string _0        = "rsi";
extern string _1        = "Wilder's rsi";
extern string _2        = "rsx";
extern string _3        = "Xuttler's rsi";

//
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//
//
//

double ema[];

//------------------------------------------------------------------
//
//------------------------------------------------------------------
//
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//
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//

int init()
{
   SetIndexBuffer(0,ema);
   IndicatorShortName("ema "+getRsiName(RsiMethod)+" adaptive("+RsiPeriod+","+DoubleToStr(EmaPeriod,2)+")");   
   return(0);
}
int deinit() { return(0); }

//------------------------------------------------------------------
//
//------------------------------------------------------------------
//
//
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//

int start()
{
   int counted_bars=IndicatorCounted();
      if(counted_bars < 0) return(-1);
      if(counted_bars>0) counted_bars--;
         int limit = MathMin(Bars-counted_bars,Bars-1);
         
   //
   //
   //
   //
   //
    
      for(int i = limit; i>=0; i--)
      {
         double price   = iMA(NULL,0,1,0,MODE_SMA,Price,i);
         double RSvoltl = MathAbs(iRsi(price,RsiPeriod,RsiMethod,i)-50)+1.0;
         double multi   = (5.0+100.0/RsiPeriod)/(0.06+0.92*RSvoltl+0.02*MathPow(RSvoltl,2));
         double pdsx    = multi*EmaPeriod;         
         double alpha   = 2.0 /(1.0+pdsx);
                 ema[i] = ema[i+1]+alpha*(price-ema[i+1]);
      }            
   return(0);
}

//------------------------------------------------------------------
//
//------------------------------------------------------------------
//
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string rsiMethodNames[] = {"rsi","Wilders rsi","rsx","Cuttler RSI"};
string getRsiName(int& method)
{
   int max = ArraySize(rsiMethodNames)-1;
      method=MathMax(MathMin(method,max),0); return(rsiMethodNames[method]);
}

//
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//
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//

double workRsi[][13];
#define _price  0
#define _change 1
#define _changa 2

double iRsi(double price, double period, int rsiMode, int i, int instanceNo=0)
{
   if (ArrayRange(workRsi,0)!=Bars) ArrayResize(workRsi,Bars);
      int z = instanceNo*13; 
      int r = Bars-i-1;
   
   //
   //
   //
   //
   //
   
   workRsi[r][z+_price] = price;
   switch (rsiMode)
   {
      case 0:
         double alpha = 1.0/period; 
         if (r<period)
            {
               int k; double sum = 0; for (k=0; k<period && (r-k-1)>=0; k++) sum += MathAbs(workRsi[r-k][z+_price]-workRsi[r-k-1][z+_price]);
                  workRsi[r][z+_change] = (workRsi[r][z+_price]-workRsi[0][z+_price])/MathMax(k,1);
                  workRsi[r][z+_changa] =                                         sum/MathMax(k,1);
            }
         else
            {
               double change = workRsi[r][z+_price]-workRsi[r-1][z+_price];
                               workRsi[r][z+_change] = workRsi[r-1][z+_change] + alpha*(        change  - workRsi[r-1][z+_change]);
                               workRsi[r][z+_changa] = workRsi[r-1][z+_changa] + alpha*(MathAbs(change) - workRsi[r-1][z+_changa]);
            }
         if (workRsi[r][z+_changa] != 0)
               return(50.0*(workRsi[r][z+_change]/workRsi[r][z+_changa]+1));
         else  return(50.0);
         
      //
      //
      //
      //
      //
      
      case 1 :
         workRsi[r][z+1] = iSmma(0.5*(MathAbs(workRsi[r][z+_price]-workRsi[r-1][z+_price])+(workRsi[r][z+_price]-workRsi[r-1][z+_price])),0.5*(period-1),Bars-i-1,0);
         workRsi[r][z+2] = iSmma(0.5*(MathAbs(workRsi[r][z+_price]-workRsi[r-1][z+_price])-(workRsi[r][z+_price]-workRsi[r-1][z+_price])),0.5*(period-1),Bars-i-1,1);
         if((workRsi[r][z+1] + workRsi[r][z+2]) != 0) 
               return(100.0 * workRsi[r][z+1]/(workRsi[r][z+1] + workRsi[r][z+2]));
         else  return(50);

      //
      //
      //
      //
      //

      case 2 :     
         double Kg = (3.0)/(2.0+period), Hg = 1.0-Kg;
         if (r<period) { for (k=1; k<13; k++) workRsi[r][k+z] = 0; return(50); }  

         //
         //
         //
         //
         //
      
         double mom = workRsi[r][_price+z]-workRsi[r-1][_price+z];
         double moa = MathAbs(mom);
         for (k=0; k<3; k++)
         {
            int kk = k*2;
            workRsi[r][z+kk+1] = Kg*mom                + Hg*workRsi[r-1][z+kk+1];
            workRsi[r][z+kk+2] = Kg*workRsi[r][z+kk+1] + Hg*workRsi[r-1][z+kk+2]; mom = 1.5*workRsi[r][z+kk+1] - 0.5 * workRsi[r][z+kk+2];
            workRsi[r][z+kk+7] = Kg*moa                + Hg*workRsi[r-1][z+kk+7];
            workRsi[r][z+kk+8] = Kg*workRsi[r][z+kk+7] + Hg*workRsi[r-1][z+kk+8]; moa = 1.5*workRsi[r][z+kk+7] - 0.5 * workRsi[r][z+kk+8];
         }
         if (moa != 0)
              return(MathMax(MathMin((mom/moa+1.0)*50.0,100.00),0.00)); 
         else return(50);
            
      //
      //
      //
      //
      //
      
      case 3 :
         double sump = 0;
         double sumn = 0;
         for (k=0; k<period; k++)
         {
            double diff = workRsi[r-k][z+_price]-workRsi[r-k-1][z+_price];
               if (diff > 0) sump += diff;
               if (diff < 0) sumn -= diff;
         }
         if (sumn > 0)
               return(100.0-100.0/(1.0+sump/sumn));
         else  return(50);
   } 
}

//
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double workSmma[][2];
double iSmma(double price, double period, int r, int instanceNo=0)
{
   if (ArrayRange(workSmma,0)!= Bars) ArrayResize(workSmma,Bars);

   //
   //
   //
   //
   //

   if (r<period)
         workSmma[r][instanceNo] = price;
   else  workSmma[r][instanceNo] = workSmma[r-1][instanceNo]+(price-workSmma[r-1][instanceNo])/period;
   return(workSmma[r][instanceNo]);
}