Fractal dimension index

Author: mladen
Price Data Components
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Fractal dimension index
ÿþ//+------------------------------------------------------------------

#property copyright   "mladen"

#property link        "mladenfx@gmail.com"

#property description "Fractal dimension index Sevcik/Matulich"

//+------------------------------------------------------------------

#property indicator_separate_window

#property indicator_buffers 3

#property indicator_plots   1

#property indicator_label1  "Fractal dimension index"

#property indicator_type1   DRAW_COLOR_LINE

#property indicator_color1  clrDarkGray,clrDeepSkyBlue,clrLightSalmon

#property indicator_width1  2

//--- input parameters

input int                inpFdiPeriod    =  30;         // Fractal dimension period

input double             inpFdiThreshold =  1.5;        // Fractal dimension threshold

input ENUM_APPLIED_PRICE inpPrice        = PRICE_CLOSE; // Price 

//--- buffers declarations

double val[],valc[],prices[];

//+------------------------------------------------------------------+

//| Custom indicator initialization function                         |

//+------------------------------------------------------------------+

int OnInit()

  {

//--- indicator buffers mapping

   SetIndexBuffer(0,val,INDICATOR_DATA);

   SetIndexBuffer(1,valc,INDICATOR_COLOR_INDEX);

   SetIndexBuffer(2,prices,INDICATOR_CALCULATIONS);

   IndicatorSetInteger(INDICATOR_LEVELS,1);

   IndicatorSetDouble(INDICATOR_LEVELVALUE,0,inpFdiThreshold);

//--- indicator short name assignment

   IndicatorSetString(INDICATOR_SHORTNAME,"Fractal dimension index (Sevcik/Matulich) ("+(string)inpFdiPeriod+","+(string)inpFdiThreshold+")");

//---

   return (INIT_SUCCEEDED);

  }

//+------------------------------------------------------------------+

//| Custom indicator de-initialization function                      |

//+------------------------------------------------------------------+

void OnDeinit(const int reason)

  {

  }

//+------------------------------------------------------------------+

//| Custom indicator iteration function                              |

//+------------------------------------------------------------------+

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[])

  {

   if(Bars(_Symbol,_Period)<rates_total) return(prev_calculated);

   double dx2=MathPow(1.0/inpFdiPeriod,2);

   int i=(int)MathMax(prev_calculated-1,1); for(; i<rates_total && !_StopFlag; i++)

     {

      prices[i]=getPrice(inpPrice,open,close,high,low,i,rates_total);

      int _start=(int)MathMax(i-inpFdiPeriod+1,0);

      double priceMax = prices[ArrayMaximum(prices,_start,inpFdiPeriod)];

      double priceMin = prices[ArrayMinimum(prices,_start,inpFdiPeriod)];

      double length   = 0.00;



      if(priceMax==priceMin) length=1;

      else

        {

         double pdi=priceMax-priceMin;

         for(int k=1; k<=inpFdiPeriod && (i-k)>=0; k++)

           {

            double dy=(prices[i-k]-prices[i-k+1])/pdi;

            length+=MathSqrt(dx2+dy*dy);

           }

        }

      val[i]=1+(MathLog(length)+MathLog(2))/MathLog(2*inpFdiPeriod);

      valc[i]=(val[i]>inpFdiThreshold) ? 1 : 2;

     }

   return (i);

  }

//+------------------------------------------------------------------+

//| Custom functions                                                 |

//+------------------------------------------------------------------+

double getPrice(ENUM_APPLIED_PRICE tprice,const double &open[],const double &close[],const double &high[],const double &low[],int i,int _bars)

  {

   switch(tprice)

     {

      case PRICE_CLOSE:     return(close[i]);

      case PRICE_OPEN:      return(open[i]);

      case PRICE_HIGH:      return(high[i]);

      case PRICE_LOW:       return(low[i]);

      case PRICE_MEDIAN:    return((high[i]+low[i])/2.0);

      case PRICE_TYPICAL:   return((high[i]+low[i]+close[i])/3.0);

      case PRICE_WEIGHTED:  return((high[i]+low[i]+close[i]+close[i])/4.0);

     }

   return(0);

  }

//+------------------------------------------------------------------+

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