//+------------------------------------------------------------------+
//|                                                 ZeroLag MACD.mq4 |
//|                                                               RD |
//|                                                 marynarz15@wp.pl |
//+------------------------------------------------------------------+
// version 1.02 https://forex-station.com/viewtopic.php?p=1295426575#p1295426575
#property copyright "RD"
#property link      "marynarz15@wp.pl"

#property indicator_separate_window
#property  indicator_buffers   4
#property indicator_color1     clrLimeGreen
#property indicator_color2     clrRed
#property indicator_color3     clrOrange
#property indicator_color4     clrYellow
#property indicator_width1     2
#property indicator_width2     2
#property indicator_width3     2
#property indicator_width4     2
#property indicator_level1     0 
#property indicator_levelcolor clrMediumOrchid
#property strict

//
//
//
//template copy and paste start1
enum enTimeFrames
{
   tf_cu  = PERIOD_CURRENT, // Current time frame
   tf_m1  = PERIOD_M1,      // 1 minute
   tf_m5  = PERIOD_M5,      // 5 minutes
   tf_m15 = PERIOD_M15,     // 15 minutes
   tf_m30 = PERIOD_M30,     // 30 minutes
   tf_h1  = PERIOD_H1,      // 1 hour
   tf_h4  = PERIOD_H4,      // 4 hours
   tf_d1  = PERIOD_D1,      // Daily
   tf_w1  = PERIOD_W1,      // Weekly
   tf_mn1 = PERIOD_MN1,     // Monthly
   tf_n1  = -1,             // First higher time frame
   tf_n2  = -2,             // Second higher time frame
   tf_n3  = -3              // Third higher time frame
};
//template copy and paste end1

//
//

enum enPrices
{
   pr_close,      // Close
   pr_open,       // Open
   pr_high,       // High
   pr_low,        // Low
   pr_median,     // Median
   pr_typical,    // Typical
   pr_weighted,   // Weighted
   pr_average,    // Average (high+low+open+close)/4
   pr_medianb,    // Average median body (open+close)/2
   pr_tbiased,    // Trend biased price
   pr_tbiased2,   // Trend biased (extreme) price
   pr_haclose,    // Heiken ashi close
   pr_haopen ,    // Heiken ashi open
   pr_hahigh,     // Heiken ashi high
   pr_halow,      // Heiken ashi low
   pr_hamedian,   // Heiken ashi median
   pr_hatypical,  // Heiken ashi typical
   pr_haweighted, // Heiken ashi weighted
   pr_haaverage,  // Heiken ashi average
   pr_hamedianb,  // Heiken ashi median body
   pr_hatbiased,  // Heiken ashi trend biased price
   pr_hatbiased2, // Heiken ashi trend biased (extreme) price
   pr_habclose,   // Heiken ashi (better formula) close
   pr_habopen ,   // Heiken ashi (better formula) open
   pr_habhigh,    // Heiken ashi (better formula) high
   pr_hablow,     // Heiken ashi (better formula) low
   pr_habmedian,  // Heiken ashi (better formula) median
   pr_habtypical, // Heiken ashi (better formula) typical
   pr_habweighted,// Heiken ashi (better formula) weighted
   pr_habaverage, // Heiken ashi (better formula) average
   pr_habmedianb, // Heiken ashi (better formula) median body
   pr_habtbiased, // Heiken ashi (better formula) trend biased price
   pr_habtbiased2 // Heiken ashi (better formula) trend biased (extreme) price
};

enum enMaTypes
{
   ma_sma,     // Simple moving average
   ma_ema,     // Exponential moving average
   ma_smma,    // Smoothed MA
   ma_lwma,    // Linear weighted MA
   ma_slwma,   // Smoothed LWMA
   ma_dsema,   // Double Smoothed Exponential average
   ma_tema,    // Triple exponential moving average - TEMA
   ma_lsma,    // Linear regression value (lsma)
   ma_dema     // Double exponential moving average - DEMA
};

//extern ENUM_TIMEFRAMES TimeFrame   = PERIOD_CURRENT;    // Time frame
//template copy and paste start2
extern enTimeFrames      TimeFrame             = tf_cu;   // Time frame
//template copy and paste end2
extern int             FastMa      = 12;                // Fast ma period
extern int             SlowMa      = 26;                // Slow ma period
extern int             SignalMa    = 9;                 // Signal ma period
extern enPrices        MaPrice     = pr_close;          // Moving average price to use 
extern enMaTypes       MaMode      = ma_ema;            // Moving average method  
extern bool            Interpolate = true;              // Interpolate in multi time frame mode?

double huu[],hdd[],macd[],sign[],fast[],slow[],signMa[],trend[],count[];
string names[] = {"SMA","EMA","SMMA","LWMA","SLWMA,DSEMA","TEMA","LSMA","DEMA"};
string indicatorFileName;
#define _mtfCall(_buff,_y) iCustom(NULL,TimeFrame,indicatorFileName,PERIOD_CURRENT,FastMa,SlowMa,SignalMa,MaPrice,MaMode,_buff,_y)

//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
//
//

int init()
{
   IndicatorBuffers(9);
   SetIndexBuffer(0,huu);   SetIndexStyle(0,DRAW_HISTOGRAM);  SetIndexLabel(0,"MACD UP");
   SetIndexBuffer(1,hdd);   SetIndexStyle(1,DRAW_HISTOGRAM);  SetIndexLabel(1,"MACD Down");
   SetIndexBuffer(2,sign);  SetIndexStyle(2,DRAW_LINE);       SetIndexLabel(2,"Signal");
   SetIndexBuffer(3,macd);  SetIndexStyle(3,DRAW_LINE);       SetIndexLabel(3,"Macd");
   SetIndexBuffer(4,fast);
   SetIndexBuffer(5,slow);
   SetIndexBuffer(6,signMa);
   SetIndexBuffer(7,trend);
   SetIndexBuffer(8,count);
   
   indicatorFileName = WindowExpertName();
//   TimeFrame         = fmax(TimeFrame,_Period); 
//template copy and paste start3
   TimeFrame         = (enTimeFrames)timeFrameValue(TimeFrame);
//template copy and paste end3
   
   IndicatorShortName(timeFrameToString(TimeFrame)+" ZeroLag MACD of "+names[MaMode]+"("+(string)FastMa+","+(string)SlowMa+","+(string)SignalMa+")");
return(0);
}
//+------------------------------------------------------------------------------------------------------------------+
//template copy and paste start4
int timeFrameValue(int _tf)
{
   int add  = (_tf>=0) ? 0 : MathAbs(_tf);
   if (add != 0) _tf = _Period;
   int size = ArraySize(iTfTable); 
      int i =0; for (;i<size; i++) if (iTfTable[i]==_tf) break;
                                   if (i==size) return(_Period);
                                                return(iTfTable[(int)MathMin(i+add,size-1)]);
}
//template copy and paste end4
//+------------------------------------------------------------------------------------------------------------------+

int deinit(){return(0);}

//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+

int start()
{
   int i,counted_bars=IndicatorCounted();
      if(counted_bars<0) return(-1);
      if(counted_bars>0) counted_bars--;
         int limit = fmin(Bars-counted_bars,Bars-1); count[0]=limit;
            if (TimeFrame!=_Period)
            {
               limit = (int)fmax(limit,fmin(Bars-1,_mtfCall(8,0)*TimeFrame/_Period));
               for (i=limit;i>=0 && !_StopFlag; i--)
               {
                  int y = iBarShift(NULL,TimeFrame,Time[i]);
                     sign[i]  = _mtfCall(2,y);
                     macd[i]  = _mtfCall(3,y);
                     trend[i] = _mtfCall(7,y);
                     
                     //
                     //
                     //
                     //
                     //
                     
                     if (!Interpolate || (i>0 && y==iBarShift(NULL,TimeFrame,Time[i-1]))) continue;
                        #define _interpolate(buff) buff[i+k] = buff[i]+(buff[i+n]-buff[i])*k/n
                        int n,k; datetime time = iTime(NULL,TimeFrame,y);
                           for(n = 1; (i+n)<Bars && Time[i+n] >= time; n++) continue;	
                           for(k = 1; k<n && (i+n)<Bars && (i+k)<Bars; k++)
                           {
                               _interpolate(sign);  
                               _interpolate(macd);   
                           }                                        
               }
               for(i=limit; i>=0; i--) 
               {
                  huu[i] = (trend[i] == 1) ? macd[i] : EMPTY_VALUE;
                  hdd[i] = (trend[i] ==-1) ? macd[i] : EMPTY_VALUE;    
               }
   return(0);
   }
   
   //
   //
   //
   //
   //
   
   for(i=limit; i>=0; i--)
   {
      double EMA,ZLEMAp,ZLEMAq;
      double price = getPrice(MaPrice,Open,Close,High,Low,i,Bars);
            fast[i]   = iCustomMa(MaMode,price,FastMa,i,Bars,0);
            slow[i]   = iCustomMa(MaMode,price,SlowMa,i,Bars,1);  
            EMA       = iCustomMa(MaMode,fast[i],FastMa,i,Bars,2);
            ZLEMAp    = fast[i]+fast[i]-EMA;
            EMA       = iCustomMa(MaMode,slow[i],SlowMa,i,Bars,3);
            ZLEMAq    = slow[i]+slow[i]-EMA;
            macd[i]   = ZLEMAp - ZLEMAq;
            signMa[i] = iCustomMa(MaMode,macd[i],SignalMa,i,Bars,4);
            EMA       = iCustomMa(MaMode,signMa[i],SignalMa,i,Bars,5);
            sign[i]   = signMa[i]+signMa[i]-EMA;
            trend[i] = (i<Bars-1) ? (macd[i]>0) ? 1 : (macd[i]<0) ? -1 : trend[i+1] : 0;
            huu[i] = (trend[i] == 1) ? macd[i] : EMPTY_VALUE;
            hdd[i] = (trend[i] ==-1) ? macd[i] : EMPTY_VALUE;        
    }
return(0);
}

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

#define _maInstances 6
#define _maWorkBufferx1 1*_maInstances
#define _maWorkBufferx2 2*_maInstances
#define _maWorkBufferx3 3*_maInstances

double iCustomMa(int mode, double price, double length, int r, int bars, int instanceNo=0)
{
   r = bars-r-1;
   switch (mode)
   {
      case ma_sma   : return(iSma(price,(int)MathCeil(length),r,bars,instanceNo));
      case ma_ema   : return(iEma(price,length,r,bars,instanceNo));
      case ma_smma  : return(iSmma(price,length,r,bars,instanceNo));
      case ma_lwma  : return(iLwma(price,(int)MathCeil(length),r,bars,instanceNo));
      case ma_slwma : return(iSlwma(price,(int)MathCeil(length),r,bars,instanceNo));
      case ma_dsema : return(iDsema(price,length,r,bars,instanceNo));
      case ma_tema  : return(iTema(price,length,r,bars,instanceNo));
      case ma_lsma  : return(iLinr(price,(int)MathCeil(length),r,bars,instanceNo));
      case ma_dema  : return(iDema(price,length,r,bars,instanceNo));
      default       : return(price);
   }
}

//
//
//
//
//

double workSma[][_maWorkBufferx1];
double iSma(double price, int period, int r, int _bars, int instanceNo=0)
{
   if (ArrayRange(workSma,0)!= _bars) ArrayResize(workSma,_bars);

   workSma[r][instanceNo+0] = price;
   double avg = price; int k=1;  for(; k<period && (r-k)>=0; k++) avg += workSma[r-k][instanceNo+0];  
   return(avg/(double)k);
}

//
//
//
//
//

double workEma[][_maWorkBufferx1];
double iEma(double price, double period, int r, int _bars, int instanceNo=0)
{
   if (ArrayRange(workEma,0)!= _bars) ArrayResize(workEma,_bars);

   workEma[r][instanceNo] = price;
   if (r>0 && period>1)
          workEma[r][instanceNo] = workEma[r-1][instanceNo]+(2.0/(1.0+period))*(price-workEma[r-1][instanceNo]);
   return(workEma[r][instanceNo]);
}

//
//
//
//
//

double workSmma[][_maWorkBufferx1];
double iSmma(double price, double period, int r, int _bars, int instanceNo=0)
{
   if (ArrayRange(workSmma,0)!= _bars) ArrayResize(workSmma,_bars);

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

//
//
//
//
//

double workLwma[][_maWorkBufferx1];
double iLwma(double price, double period, int r, int _bars, int instanceNo=0)
{
   if (ArrayRange(workLwma,0)!= _bars) ArrayResize(workLwma,_bars);
   
   workLwma[r][instanceNo] = price; if (period<=1) return(price);
      double sumw = period;
      double sum  = period*price;

      for(int k=1; k<period && (r-k)>=0; k++)
      {
         double weight = period-k;
                sumw  += weight;
                sum   += weight*workLwma[r-k][instanceNo];  
      }             
      return(sum/sumw);
}

//
//
//
//
//


double workSlwma[][_maWorkBufferx2];
double iSlwma(double price, double period, int r, int _bars, int instanceNo=0)
{
   if (ArrayRange(workSlwma,0)!= _bars) ArrayResize(workSlwma,_bars); 

   //
   //
   //
   //
   //

      int SqrtPeriod = (int)MathFloor(MathSqrt(period)); instanceNo *= 2;
         workSlwma[r][instanceNo] = price;

         //
         //
         //
         //
         //
               
         double sumw = period;
         double sum  = period*price;
   
         for(int k=1; k<period && (r-k)>=0; k++)
         {
            double weight = period-k;
                   sumw  += weight;
                   sum   += weight*workSlwma[r-k][instanceNo];  
         }             
         workSlwma[r][instanceNo+1] = (sum/sumw);

         //
         //
         //
         //
         //
         
         sumw = SqrtPeriod;
         sum  = SqrtPeriod*workSlwma[r][instanceNo+1];
            for(int k=1; k<SqrtPeriod && (r-k)>=0; k++)
            {
               double weight = SqrtPeriod-k;
                      sumw += weight;
                      sum  += weight*workSlwma[r-k][instanceNo+1];  
            }
   return(sum/sumw);
}

//
//
//
//
//

double workDsema[][_maWorkBufferx2];
#define _ema1 0
#define _ema2 1

double iDsema(double price, double period, int r, int _bars, int instanceNo=0)
{
   if (ArrayRange(workDsema,0)!= _bars) ArrayResize(workDsema,_bars); instanceNo*=2;

   //
   //
   //
   //
   //
   
   workDsema[r][_ema1+instanceNo] = price;
   workDsema[r][_ema2+instanceNo] = price;
   if (r>0 && period>1)
   {
      double alpha = 2.0 /(1.0+MathSqrt(period));
          workDsema[r][_ema1+instanceNo] = workDsema[r-1][_ema1+instanceNo]+alpha*(price                         -workDsema[r-1][_ema1+instanceNo]);
          workDsema[r][_ema2+instanceNo] = workDsema[r-1][_ema2+instanceNo]+alpha*(workDsema[r][_ema1+instanceNo]-workDsema[r-1][_ema2+instanceNo]); }
   return(workDsema[r][_ema2+instanceNo]);
}

//
//
//
//
//

double workTema[][_maWorkBufferx3];
#define _tema1 0
#define _tema2 1
#define _tema3 2

double iTema(double price, double period, int r, int bars, int instanceNo=0)
{
   if (ArrayRange(workTema,0)!= bars) ArrayResize(workTema,bars); instanceNo*=3;

   //
   //
   //
   //
   //
      
   workTema[r][_tema1+instanceNo] = price;
   workTema[r][_tema2+instanceNo] = price;
   workTema[r][_tema3+instanceNo] = price;
   if (r>0 && period>1)
   {
      double alpha = 2.0 / (1.0+period);
          workTema[r][_tema1+instanceNo] = workTema[r-1][_tema1+instanceNo]+alpha*(price                         -workTema[r-1][_tema1+instanceNo]);
          workTema[r][_tema2+instanceNo] = workTema[r-1][_tema2+instanceNo]+alpha*(workTema[r][_tema1+instanceNo]-workTema[r-1][_tema2+instanceNo]);
          workTema[r][_tema3+instanceNo] = workTema[r-1][_tema3+instanceNo]+alpha*(workTema[r][_tema2+instanceNo]-workTema[r-1][_tema3+instanceNo]); }
   return(workTema[r][_tema3+instanceNo]+3.0*(workTema[r][_tema1+instanceNo]-workTema[r][_tema2+instanceNo]));
}

//
//
//
//
//

double workLinr[][_maWorkBufferx1];
double iLinr(double price, int period, int r, int bars, int instanceNo=0)
{
   if (ArrayRange(workLinr,0)!= bars) ArrayResize(workLinr,bars);

   //
   //
   //
   //
   //
   
      period = MathMax(period,1);
      workLinr[r][instanceNo] = price;
      if (r<period) return(price);
         double lwmw = period; double lwma = lwmw*price;
         double sma  = price;
         for(int k=1; k<period && (r-k)>=0; k++)
         {
            double weight = period-k;
                   lwmw  += weight;
                   lwma  += weight*workLinr[r-k][instanceNo];  
                   sma   +=        workLinr[r-k][instanceNo];
         }             
   
   return(3.0*lwma/lwmw-2.0*sma/period);
}

//
//
//
//
//

double workDema[][_maWorkBufferx2];
#define _dema1 0
#define _dema2 1

double iDema(double price, double period, int r, int bars, int instanceNo=0)
{
   if (period<=1) return(price);
   if (ArrayRange(workDema,0)!= bars) ArrayResize(workDema,bars); instanceNo*=2;

   //
   //
   //
   //
   //
      
   workDema[r][_dema1+instanceNo] = price;
   workDema[r][_dema2+instanceNo] = price;
   double alpha = 2.0 / (1.0+period);
   if (r>0)
   {
          workDema[r][_dema1+instanceNo] = workDema[r-1][_dema1+instanceNo]+alpha*(price                         -workDema[r-1][_dema1+instanceNo]);
          workDema[r][_dema2+instanceNo] = workDema[r-1][_dema2+instanceNo]+alpha*(workDema[r][_dema1+instanceNo]-workDema[r-1][_dema2+instanceNo]); }
   return(workDema[r][_dema1+instanceNo]*2.0-workDema[r][_dema2+instanceNo]);
}

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

#define _prHABF(_prtype) (_prtype>=pr_habclose && _prtype<=pr_habtbiased2)
#define _priceInstances     1
#define _priceInstancesSize 4
double workHa[][_priceInstances*_priceInstancesSize];
double getPrice(int tprice, const double& open[], const double& close[], const double& high[], const double& low[], int i, int bars, int instanceNo=0)
{
  if (tprice>=pr_haclose)
   {
      if (ArrayRange(workHa,0)!= Bars) ArrayResize(workHa,Bars); instanceNo*=_priceInstancesSize; int r = bars-i-1;
         
         //
         //
         //
         //
         //
         
         double haOpen  = (r>0) ? (workHa[r-1][instanceNo+2] + workHa[r-1][instanceNo+3])/2.0 : (open[i]+close[i])/2;;
         double haClose = (open[i]+high[i]+low[i]+close[i]) / 4.0;
         if (_prHABF(tprice))
               if (high[i]!=low[i])
                     haClose = (open[i]+close[i])/2.0+(((close[i]-open[i])/(high[i]-low[i]))*MathAbs((close[i]-open[i])/2.0));
               else  haClose = (open[i]+close[i])/2.0; 
         double haHigh  = fmax(high[i], fmax(haOpen,haClose));
         double haLow   = fmin(low[i] , fmin(haOpen,haClose));

         //
         //
         //
         //
         //
         
         if(haOpen<haClose) { workHa[r][instanceNo+0] = haLow;  workHa[r][instanceNo+1] = haHigh; } 
         else               { workHa[r][instanceNo+0] = haHigh; workHa[r][instanceNo+1] = haLow;  } 
                              workHa[r][instanceNo+2] = haOpen;
                              workHa[r][instanceNo+3] = haClose;
         //
         //
         //
         //
         //
         
         switch (tprice)
         {
            case pr_haclose:
            case pr_habclose:    return(haClose);
            case pr_haopen:   
            case pr_habopen:     return(haOpen);
            case pr_hahigh: 
            case pr_habhigh:     return(haHigh);
            case pr_halow:    
            case pr_hablow:      return(haLow);
            case pr_hamedian:
            case pr_habmedian:   return((haHigh+haLow)/2.0);
            case pr_hamedianb:
            case pr_habmedianb:  return((haOpen+haClose)/2.0);
            case pr_hatypical:
            case pr_habtypical:  return((haHigh+haLow+haClose)/3.0);
            case pr_haweighted:
            case pr_habweighted: return((haHigh+haLow+haClose+haClose)/4.0);
            case pr_haaverage:  
            case pr_habaverage:  return((haHigh+haLow+haClose+haOpen)/4.0);
            case pr_hatbiased:
            case pr_habtbiased:
               if (haClose>haOpen)
                     return((haHigh+haClose)/2.0);
               else  return((haLow+haClose)/2.0);        
            case pr_hatbiased2:
            case pr_habtbiased2:
               if (haClose>haOpen)  return(haHigh);
               if (haClose<haOpen)  return(haLow);
                                    return(haClose);        
         }
   }
   
   //
   //
   //
   //
   //
   
   switch (tprice)
   {
      case pr_close:     return(close[i]);
      case pr_open:      return(open[i]);
      case pr_high:      return(high[i]);
      case pr_low:       return(low[i]);
      case pr_median:    return((high[i]+low[i])/2.0);
      case pr_medianb:   return((open[i]+close[i])/2.0);
      case pr_typical:   return((high[i]+low[i]+close[i])/3.0);
      case pr_weighted:  return((high[i]+low[i]+close[i]+close[i])/4.0);
      case pr_average:   return((high[i]+low[i]+close[i]+open[i])/4.0);
      case pr_tbiased:   
               if (close[i]>open[i])
                     return((high[i]+close[i])/2.0);
               else  return((low[i]+close[i])/2.0);        
      case pr_tbiased2:   
               if (close[i]>open[i]) return(high[i]);
               if (close[i]<open[i]) return(low[i]);
                                     return(close[i]);        
   }
return(0);
}

//
//
//
//
//

string sTfTable[] = {"M1","M5","M15","M30","H1","H4","D1","W1","MN"};
int    iTfTable[] = {1,5,15,30,60,240,1440,10080,43200};

string timeFrameToString(int tf)
{
   for (int i=ArraySize(iTfTable)-1; i>=0; i--) 
         if (tf==iTfTable[i]) return(sTfTable[i]);
                              return("");
}