Author: Copyright 2018, MetaQuotes Software Corp.
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FGDI_v1
ÿþ//+------------------------------------------------------------------+

//|                                                         FGDI.mq5 |

//|                        Copyright 2018, MetaQuotes Software Corp. |

//|                                                 https://mql5.com |

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

#property copyright "Copyright 2018, MetaQuotes Software Corp."

#property link      "https://mql5.com"

#property version   "1.00"

#property description "Fractal Graph Dimension Indicator"

#property indicator_separate_window

#property indicator_buffers 7

#property indicator_plots   3

//--- plot B1

#property indicator_label1  "FGDI"

#property indicator_type1   DRAW_COLOR_LINE

#property indicator_color1  clrBlue,clrRed,clrDarkGray

#property indicator_style1  STYLE_SOLID

#property indicator_width1  1

//--- plot B2

#property indicator_label2  "+Deviation"

#property indicator_type2   DRAW_COLOR_LINE

#property indicator_color2  clrBlue,clrRed,clrDarkGray

#property indicator_style2  STYLE_SOLID

#property indicator_width2  1

//--- plot B3

#property indicator_label3  "- Deviation"

#property indicator_type3   DRAW_COLOR_LINE

#property indicator_color3  clrBlue,clrRed,clrDarkGray

#property indicator_style3  STYLE_SOLID

#property indicator_width3  1

//--- input parameters

input uint                 InpPeriod         =  30;            // Period

input ENUM_APPLIED_PRICE   InpAppliedPrice   =  PRICE_CLOSE;   // Applied price

input double               InpThreshold      =  1.5;           // Threshold

//--- indicator buffers

double         BufferB1[];

double         BufferColorsB1[];

double         BufferB2[];

double         BufferColorsB2[];

double         BufferB3[];

double         BufferColorsB3[];

double         BufferMA[];

//--- global variables

double         threshold;

double         log2;

double         log_period;

int            period;

int            handle_ma;

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

//| Custom indicator initialization function                         |

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

int OnInit()

  {

//--- set global variables

   period=int(InpPeriod<1 ? 1 : InpPeriod);

   threshold=InpThreshold;

   log2=log(2.0);

   log_period=log(2.0*(period-1.0));

//--- indicator buffers mapping

   SetIndexBuffer(0,BufferB1,INDICATOR_DATA);

   SetIndexBuffer(1,BufferColorsB1,INDICATOR_COLOR_INDEX);

   SetIndexBuffer(2,BufferB2,INDICATOR_DATA);

   SetIndexBuffer(3,BufferColorsB2,INDICATOR_COLOR_INDEX);

   SetIndexBuffer(4,BufferB3,INDICATOR_DATA);

   SetIndexBuffer(5,BufferColorsB3,INDICATOR_COLOR_INDEX);

   SetIndexBuffer(6,BufferMA,INDICATOR_CALCULATIONS);

//--- setting indicator parameters

   IndicatorSetString(INDICATOR_SHORTNAME,"Fractal Graph Dimension ("+(string)period+","+DoubleToString(threshold,2)+")");

   IndicatorSetInteger(INDICATOR_DIGITS,Digits());

   IndicatorSetInteger(INDICATOR_LEVELS,1);

   IndicatorSetDouble(INDICATOR_LEVELVALUE,0,threshold);

   IndicatorSetString(INDICATOR_LEVELTEXT,0,"Threshold");

//--- setting buffer arrays as timeseries

   ArraySetAsSeries(BufferB1,true);

   ArraySetAsSeries(BufferColorsB1,true);

   ArraySetAsSeries(BufferB2,true);

   ArraySetAsSeries(BufferColorsB2,true);

   ArraySetAsSeries(BufferB3,true);

   ArraySetAsSeries(BufferColorsB3,true);

   ArraySetAsSeries(BufferMA,true);

//--- create MA's handles

   ResetLastError();

   handle_ma=iMA(NULL,PERIOD_CURRENT,1,0,MODE_SMA,InpAppliedPrice);

   if(handle_ma==INVALID_HANDLE)

     {

      Print("The iMA(1) by ",EnumToString(InpAppliedPrice)," object was not created: Error ",GetLastError());

      return INIT_FAILED;

     }

//---

   return(INIT_SUCCEEDED);

  }

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

//| 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[])

  {

//--- @>25@:0 8 @0AGQB :>;8G5AB20 ?@>AG8BK205<KE 10@>2

   if(rates_total<fmax(period,4)) return 0;

//--- @>25@:0 8 @0AGQB :>;8G5AB20 ?@>AG8BK205<KE 10@>2

   int limit=rates_total-prev_calculated;

   if(limit>1)

     {

      limit=rates_total-period-2;

      ArrayInitialize(BufferB1,EMPTY_VALUE);

      ArrayInitialize(BufferB2,EMPTY_VALUE);

      ArrayInitialize(BufferB3,EMPTY_VALUE);

      ArrayInitialize(BufferMA,0);

     }

//--- >43>B>2:0 40==KE

   int count=(limit>1 ? rates_total : 1),copied=0;

   copied=CopyBuffer(handle_ma,0,0,count,BufferMA);

   if(copied!=count) return 0;



//---  0AGQB 8=48:0B>@0

   for(int i=limit; i>=0 && !IsStopped(); i--)

     {

      int bl=ArrayMinimum(BufferMA,i,period);

      int bh=ArrayMaximum(BufferMA,i,period);

      if(bl==WRONG_VALUE || bh==WRONG_VALUE)

         continue;

      double min=BufferMA[bl];

      double max=BufferMA[bh];



      double priordiff=0;

      double len=0;

      double diff=0;

      double delta=0;

      double variance=0;

      double fdi=0;

      double mean=0;

      if(min!=max)

        {

         for(int j=i+period-1; j>=i; j--)

           {

            diff=(BufferMA[j]-min)/(max-min);

            if(j!=i+period-1)

               len+=sqrt(pow(diff-priordiff,2.0)+1.0/pow(period,2.0));

            priordiff=diff;

           }

        }



      double sum=0;

      if(len>0)

        {

         fdi=1.0+(log(len)+log2)/log_period;

         mean=len/(period-1.0);



         if(max!=min)

           {

            for(int j=i+period-1;j>=i;j--)

              {

               diff=(BufferMA[j]-min)/(max-min);

               if(j!=i+period-1)

                 {

                  delta=sqrt(pow(diff-priordiff,2)+1.0/pow(period,2.0));

                  sum+=pow(delta-len/(period-1.0),2.0);

                 }

               priordiff=diff;

              }

           }

         variance=sum/(pow(len,2.0)*log_period*log_period);

        }

      else

        {

         fdi=0;

         variance=0;

        }

      

      double stddev=sqrt(variance);



      BufferB1[i]=fdi;

      BufferB2[i]=fdi+stddev;

      BufferB3[i]=fdi-stddev;



      BufferColorsB1[i]=(BufferB1[i]>threshold ? 0 : BufferB1[i]<threshold ? 1 : 2);

      BufferColorsB2[i]=(BufferB2[i]>threshold ? 0 : BufferB2[i]<threshold ? 1 : 2);

      BufferColorsB3[i]=(BufferB3[i]>threshold ? 0 : BufferB3[i]<threshold ? 1 : 2);

     }



//--- return value of prev_calculated for next call

   return(rates_total);

  }

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

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