//+------------------------------------------------------------------+
//|                                                    MAMA_True.mq5 |
//|              MQL5 Code:     Copyright © 2010,   Nikolay Kositsin | 
//|                              Khabarovsk,   farria@mail.redcom.ru | 
//+------------------------------------------------------------------+
//---- author of the indicator
#property copyright "Copyright © 2010, Nikolay Kositsin"
#property link "farria@mail.redcom.ru"
//---- indicator version number
#property version   "1.00"
//---- drawing the indicator in the main window
#property indicator_chart_window
//----two buffers are used for calculation and drawing the indicator
#property indicator_buffers 2
//---- two plots are used
#property indicator_plots   2
//+----------------------------------------------+
//|  FAMA indicator drawing parameters           |
//+----------------------------------------------+
//---- drawing indicator 1 as a line
#property indicator_type1   DRAW_LINE
//---- lime color is used as the color of the bullish line of the indicator
#property indicator_color1  Lime
//---- line of the indicator 1 is a solid curve
#property indicator_style1  STYLE_SOLID
//---- thickness of line of the indicator 1 is equal to 1
#property indicator_width1  1
//---- displaying of the bullish label of the indicator
#property indicator_label1  "MAMA"
//+----------------------------------------------+
//|  MAMA indicator drawing parameters           |
//+----------------------------------------------+
//---- drawing indicator 2 as a line
#property indicator_type2   DRAW_LINE
//---- red color is used as the color of the bearish indicator line
#property indicator_color2  Red
//---- line of the indicator 2 is a solid curve
#property indicator_style2  STYLE_SOLID
//---- thickness of line of the indicator 2 is equal to 1
#property indicator_width2  1
//---- displaying of the bearish label of the indicator
#property indicator_label2  "FAMA"
//+----------------------------------------------+
//| Input parameters of the indicator            |
//+----------------------------------------------+
extern double FastLimit = 0.5;
extern double SlowLimit = 0.05;
//+----------------------------------------------+
//---- declaration of dynamic arrays that further  
//---- will be used as indicator buffers
double MAMABuffer[];
double FAMABuffer[];
//---- Declaration of the integer variables for the start of data calculation
int StartBar;
//+------------------------------------------------------------------+
//| CountVelue() function                                            |
//+------------------------------------------------------------------+
double CountVelue(double  &Array1[],double  &Array2[])
  {
//----
   double Resalt=
                 (0.0962*Array1[0]
                 +0.5769*Array1[2]
                 -0.5769*Array1[4]
                 -0.0962*Array1[6])
                 *(0.075*Array2[1]+0.54);
//----
   return(Resalt);
  }
//+------------------------------------------------------------------+
//| ReCountArray() function                                          |
//+------------------------------------------------------------------+
void ReCountArray(double  &Array[])
  {
//----
   Array[6]=Array[5];
   Array[5]=Array[4];
   Array[4]=Array[3];
   Array[3]=Array[2];
   Array[2]=Array[1];
   Array[1]=Array[0];
//----
   return;
  }
//+------------------------------------------------------------------+
//| SmoothVelue() function                                           |
//+------------------------------------------------------------------+
double SmoothVelue(double  &Array[])
  {
//----
   return(0.2*Array[0]+0.8*Array[1]);
  }
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+  
void OnInit()
  {
//---- initialization of constants
   StartBar=7+1;
//---- transformation of the MAMABuffer dynamic array into an indicator buffer
   SetIndexBuffer(0,MAMABuffer,INDICATOR_DATA);
//--- creation of a label to be displayed in the Data Window
   PlotIndexSetString(0,PLOT_LABEL,"MAMA");
//---- shifting the start of drawing of the indicator
   PlotIndexSetInteger(0,PLOT_DRAW_BEGIN,StartBar);

//---- transformation of the FAMABuffer dynamic array into an indicator buffer
   SetIndexBuffer(1,FAMABuffer,INDICATOR_DATA);
//--- creation of a label to be displayed in the Data Window
   PlotIndexSetString(1,PLOT_LABEL,"FAMA");
//---- shifting the start of drawing of the indicator
   PlotIndexSetInteger(0,PLOT_DRAW_BEGIN,StartBar+1);

//---- initializations of variable for indicator short name
   string shortname;
   StringConcatenate(shortname,"The MESA Adaptive Moving Average(",FastLimit,", ",SlowLimit,")");
//---- creating name for displaying in a separate sub-window and in a tooltip
   IndicatorSetString(INDICATOR_SHORTNAME,shortname);
//---- determination of accuracy of displaying of the indicator values
   IndicatorSetInteger(INDICATOR_DIGITS,_Digits+1);
//----
  }
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int OnCalculate(
                const int rates_total,    // amount of history in bars at the current tick
                const int prev_calculated,// amount of history in bars at the previous tick
                const int begin,          // number of beginning of reliable counting of bars
                const double &price[]     // price array for calculation of the indicator
                )
  {
//---- checking the number of bars to be enough for the calculation
   if(rates_total<StartBar+begin) return(0);

//---- memory variables introduction  
   static double smooth[7],detrender[7],Q1[7],I1[7],I2[7];
   static double Q2[7],jI[7],jQ[7],Re[7],Im[7],period[7],Phase[7];

//---- declarations of local variables 
   int first,bar;
   double DeltaPhase, alpha;

//---- calculation of the starting number 'first' for the bars recalculation loop
   if(prev_calculated==0) // checking for the first start of the indicator calculation
     {
      first=StartBar+begin; // starting number for calculation of all bars
      //----
      ArrayInitialize(smooth,0.0);
      ArrayInitialize(detrender,0.0);
      ArrayInitialize(period,0.0);
      ArrayInitialize(Phase,0.0);
      ArrayInitialize(Q1,0.0);
      ArrayInitialize(I1,0.0);
      ArrayInitialize(I2,0.0);
      ArrayInitialize(Q2,0.0);
      ArrayInitialize(jI,0.0);
      ArrayInitialize(jQ,0.0);
      ArrayInitialize(Re,0.0);
      ArrayInitialize(Im,0.0);
      //----
      MAMABuffer[first-1] = price[first-1];
      FAMABuffer[first-1] = price[first-1];

     }
   else first=prev_calculated-1; // starting number for calculation of new bars

//---- main loop of calculation of the indicator
   for(bar=first; bar<rates_total; bar++)
     {
      smooth[0]=(4*price[bar-0]+3*price[bar-1]+2*price[bar-2]+1*price[bar-3])/10.0;
      //----
      detrender[0]=CountVelue(smooth,period);
      Q1[0]=CountVelue(detrender,period);
      I1[0] = detrender[3];
      jI[0] = CountVelue(I1, I1);
      jQ[0] = CountVelue(Q1, Q1);
      I2[0] = I1[0] - jQ[0];
      Q2[0] = Q1[0] - jI[0];
      I2[0] = SmoothVelue(I2);
      Q2[0] = SmoothVelue(Q2);
      Re[0] = I2[0]*I2[1] + Q2[0]*Q2[1];
      Im[0] = I2[0]*Q2[1] - Q2[0]*I2[1];
      Re[0] = SmoothVelue(Re);
      Im[0] = SmoothVelue(Im);
      //----
      if(Im[0]!=0 && Re[0]!=0) period[0]=6.285714/MathArctan(Im[0]/Re[0]);

      if(period[0]>1.50*period[1]) period[0]=1.50*period[1];
      if(period[0]<0.67*period[1]) period[0]=0.67*period[1];
      if(period[0]<6.00) period[0]=6.00;
      if(period[0]>50.0) period[0]=50.0;
      //----
      period[0]=0.2*period[0]+0.8*period[1];
      //----
      if(I1[0]!=0) Phase[0]=57.27272987*MathArctan(Q1[0]/I1[0]);
      //----
      DeltaPhase=Phase[1]-Phase[0];
      if(DeltaPhase<1) DeltaPhase=1.0;
      //----
      alpha=FastLimit/DeltaPhase;
      if(alpha<SlowLimit)alpha=SlowLimit;
      //----
      MAMABuffer[bar]=alpha*price[bar]+(1.0-alpha)*MAMABuffer[bar-1];
      FAMABuffer[bar]=0.5*alpha*MAMABuffer[bar]+(1.0-0.5*alpha)*FAMABuffer[bar-1];
      //----
      if(bar<rates_total-1)
        {
         ReCountArray(smooth);
         ReCountArray(detrender);
         ReCountArray(period);
         ReCountArray(Phase);
         ReCountArray(Q1);
         ReCountArray(I1);
         ReCountArray(I2);
         ReCountArray(Q2);
         ReCountArray(jI);
         ReCountArray(jQ);
         ReCountArray(Re);
         ReCountArray(Im);
        }
     }
//----    
   return(rates_total);
  }
//+------------------------------------------------------------------+