//+------------------------------------------------------------------+
//|                                    Dynamic zone LaGuerre RSI.mq4 |
//|                                                           mladen |
//+------------------------------------------------------------------+
#property copyright "mladen"
#property link      ""

#property indicator_separate_window
#property indicator_buffers 4
#property indicator_color1  LimeGreen
#property indicator_color2  Red
#property indicator_color3  DimGray
#property indicator_color4  DeepSkyBlue
#property indicator_width4  2
#property indicator_style3  STYLE_DOT

//
//
//
//
//

#import "dynamicZone.dll"
   double dzBuy(double& sourceArray[],double probabiltyValue, int lookBack, int bars, int i );
   double dzSell(double& sourceArray[],double probabiltyValue, int lookBack, int bars, int i );
#import

//
//
//
//
//

extern double Gama                   = 0.90;
extern int    Price                  = PRICE_CLOSE;
extern int    Smooth                 = 3;
extern int    SmoothPhase            = 0;
extern bool   DzShowZeroLine         = true;
extern int    DzLookBackBars         = 35;
extern double DzStartBuyProbability  = 0.25;
extern double DzStartSellProbability = 0.25;

//
//
//
//
//

double rsi[];
double bli[];
double sli[];
double zli[];
double L0[];
double L1[];
double L2[];
double L3[];

//+------------------------------------------------------------------+
//|                                                                  |
//+------------------------------------------------------------------+

int init()
{
   IndicatorBuffers(8);
   SetIndexBuffer(0, bli);
   SetIndexBuffer(1, sli);
   SetIndexBuffer(2, zli);
   SetIndexBuffer(3, rsi);
   SetIndexBuffer(4, L0);
   SetIndexBuffer(5, L1);
   SetIndexBuffer(6, L2);
   SetIndexBuffer(7, L3);
   //
   //
   //
   //
   //
   
   string PriceType;
      switch(Price)
      {
         case PRICE_CLOSE:    PriceType = "Close";    break;  // 0
         case PRICE_OPEN:     PriceType = "Open";     break;  // 1
         case PRICE_HIGH:     PriceType = "High";     break;  // 2
         case PRICE_LOW:      PriceType = "Low";      break;  // 3
         case PRICE_MEDIAN:   PriceType = "Median";   break;  // 4
         case PRICE_TYPICAL:  PriceType = "Typical";  break;  // 5
         case PRICE_WEIGHTED: PriceType = "Weighted"; break;  // 6
      }      

   //
   //
   //
   //
   //

   IndicatorShortName("DZ Laguerre RSI ("+DoubleToStr(Gama,2)+","+PriceType+","+Smooth+","+SmoothPhase+")");
   return(0);
}

int deinit()
{
   return(0);
}

//+------------------------------------------------------------------+
//|                                                                  |
//+------------------------------------------------------------------+
//
//
//
//
//

int start()
{
   int counted_bars=IndicatorCounted();
   int i,limit;

   if(counted_bars<0) return(-1);
   if(counted_bars>0) counted_bars--;
         limit = MathMin(Bars-counted_bars,Bars-1);

   //
   //
   //
   //
   //
   
   for(i = limit; i >= 0 ; i--)
   {
      rsi[i] = LaGuerre(Gama,i,Price);
         if (DzStartBuyProbability  > 0) bli[i] = dzBuy (rsi, DzStartBuyProbability,  DzLookBackBars, Bars, i);
         if (DzStartSellProbability > 0) sli[i] = dzSell(rsi, DzStartSellProbability, DzLookBackBars, Bars, i);
         if (DzShowZeroLine)             zli[i] = dzSell(rsi, 0.5                   , DzLookBackBars, Bars, i);
   }      
   return(0);
}


//+------------------------------------------------------------------+
//|                                                                  |
//+------------------------------------------------------------------+
//
//
//
//
//

double LaGuerre(double gamma, int i, int priceType)
{
	double price = iMA(NULL,0,1,0,MODE_SMA,priceType,i);
	double RSI   = 0.00;
	double CU    = 0.00;
	double CD    = 0.00;

   L0[i] = (1.0 - gamma)*price + gamma*L0[i+1];
	L1[i] = -gamma*L0[i] + L0[i+1]     + gamma*L1[i+1];
	L2[i] = -gamma*L1[i] + L1[i+1]     + gamma*L2[i+1];
	L3[i] = -gamma*L2[i] + L2[i+1]     + gamma*L3[i+1];

   //
   //
   //
   //
   //
   
	if (L0[i] >= L1[i])
   			CU = L0[i] - L1[i];
	else	   CD = L1[i] - L0[i];
	if (L1[i] >= L2[i])
   			CU = CU + L1[i] - L2[i];
	else	   CD = CD + L2[i] - L1[i];
	if (L2[i] >= L3[i])
			   CU = CU + L2[i] - L3[i];
	else	   CD = CD + L3[i] - L2[i];

   //
   //
   //
   //
   //

   if (CU + CD != 0) RSI = CU / (CU + CD) ;
   if (Smooth>1)
         return(MathMin(MathMax(iSmooth(RSI,Smooth,SmoothPhase,i),0),100));
   else  return(RSI);
}

//+------------------------------------------------------------------
//|                                                                 
//+------------------------------------------------------------------
//
//
//
//
//

double wrk[][10];

#define bsmax  5
#define bsmin  6
#define volty  7
#define vsum   8
#define avolty 9

//
//
//
//
//

double iSmooth(double price, double length, double phase, int i, int s=0)
{
   if (ArrayRange(wrk,0) != Bars) ArrayResize(wrk,Bars);
   
   int r = Bars-i-1; 
      if (r==0) { for(int k=0; k<7; k++) wrk[0][k+s]= price; for(; k<10; k++) wrk[0][k+s]= 0; return(price); }

   //
   //
   //
   //
   //
   
      double len1   = MathMax(MathLog(MathSqrt(0.5*(length-1)))/MathLog(2.0)+2.0,0);
      double pow1   = MathMax(len1-2.0,0.5);
      double del1   = price - wrk[r-1][bsmax+s];
      double del2   = price - wrk[r-1][bsmin+s];
      double div    = 1.0/(10.0+10.0*(MathMin(MathMax(length-10,0),100))/100);
      int    forBar = MathMin(r,10);
	
         wrk[r][volty+s] = 0;
               if(MathAbs(del1) > MathAbs(del2)) wrk[r][volty+s] = MathAbs(del1); 
               if(MathAbs(del1) < MathAbs(del2)) wrk[r][volty+s] = MathAbs(del2); 
         wrk[r][vsum+s] =	wrk[r-1][vsum+s] + (wrk[r][volty+s]-wrk[r-forBar][volty]+s)*div;
   
         //
         //
         //
         //
         //
   
         wrk[r][avolty+s] = wrk[r-1][avolty+s]+(2.0/(MathMax(4.0*length,30)+1.0))*(wrk[r][vsum+s]-wrk[r-1][avolty+s]);
            if (wrk[r][avolty+s] > 0)
               double dVolty = wrk[r][volty+s]/wrk[r][avolty+s]; else dVolty = 0;   
	               if (dVolty > MathPow(len1,1.0/pow1)) dVolty = MathPow(len1,1.0/pow1);
                  if (dVolty < 1)                      dVolty = 1.0;

      //
      //
      //
      //
      //
	        
   	double pow2 = MathPow(dVolty, pow1);
      double len2 = MathSqrt(0.5*(length-1))*len1;
      double Kv   = MathPow(len2/(len2+1), MathSqrt(pow2));		
	
         if (del1 > 0) wrk[r][bsmax+s] = price; else wrk[r][bsmax+s] = price - Kv*del1;
         if (del2 < 0) wrk[r][bsmin+s] = price; else wrk[r][bsmin+s] = price - Kv*del2;

   //
   //
   //
   //
   //

      double R     = MathMax(MathMin(phase,100),-100)/100.0 + 1.5;
      double beta  = 0.45*(length-1)/(0.45*(length-1)+2);
      double alpha = MathPow(beta,pow2);

         wrk[r][0+s] = price + alpha*(wrk[r-1][0+s]-price);
         wrk[r][1+s] = (price - wrk[r][0+s])*(1-beta) + beta*wrk[r-1][1+s];
         wrk[r][2+s] = (wrk[r][0+s] + R*wrk[r][1+s]);
         wrk[r][3+s] = (wrk[r][2+s] - wrk[r-1][4+s])*MathPow((1-alpha),2) + MathPow(alpha,2)*wrk[r-1][3+s];
         wrk[r][4+s] = (wrk[r-1][4+s] + wrk[r][3+s]); 

   //
   //
   //
   //
   //

   return(wrk[r][4+s]);
}

