JMA_v2

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Author: Spiggy
JMA_v2

This script implements a sophisticated technical analysis indicator known as the Jurik Moving Average (JMA). Unlike standard moving averages that often suffer from a trade-off between smoothness and responsiveness (where a "faster" average is jagged and a "smoother" one is lagging), this logic is designed to achieve both simultaneously.

Core Logic Overview

The script functions by processing price data through several complex mathematical layers to create a fluid, reactive trend line. Here is the breakdown of how it handles information:

1. Data Input Selection The script allows you to choose which specific price point to analyze. It can track the closing price, opening price, highs, lows, or various averages of these points (such as the midpoint or the typical price). This flexibility ensures the indicator can be tailored to different trading styles.

2. Adaptive Smoothing and Filtering The logic uses a multi-layered approach to filter out market "noise":

  • Dynamic Adjustments: It calculates specific coefficients based on the user-defined period and a "phase" parameter. These constants dictate how aggressively the indicator reacts to new price changes versus how much it trusts historical data.
  • Volatility Detection: The script measures the difference between current prices and previous values to identify volatility. It then uses these measurements to adjust its own internal weighting, attempting to stay "glued" to the price trend during strong moves while remaining steady during consolidation.

3. Recursive Signal Processing Instead of simply averaging a fixed window of bars, the script employs a recursive calculation:

  • Memory Buffer: It maintains an internal history of recent price movements.
  • Dynamic Weighting: As new data arrives, the algorithm compares it against its previous results. If a significant change is detected, it updates its internal "momentum" state.
  • Non-Linear Smoothing: It applies power functions (mathematical exponents) to the smoothing factors. This allows the indicator to behave non-linearly; for example, it can remain very flat during minor fluctuations but curve sharply when a genuine trend shift occurs.

4. The Final Result The final output is a single line drawn on your chart. Because of the complex "looping" logic within the code—where it constantly re-evaluates its history and applies these adaptive filters—the resulting line appears much smoother than a standard Moving Average but reacts to price turns significantly faster.

Key User Benefits

  • Reduced Lag: By using adaptive weighting, the indicator minimizes the delay between a price change and the indicator's reaction.
  • Clean Visuals: It eliminates the "sawtooth" appearance of many fast indicators, making it easier for traders to identify clear trend directions.
  • Versatility: Because it can be adjusted via parameters like Periods, PriceType, and Phase, it can be tuned to be a "fast" signal for scalping or a "slow," stable trend filter for long-term positions.
Miscellaneous
Implements a curve of type %1
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JMA_v2 
//+------------------------------------------------------------------+
//|                                                          JMA.mq4 |
//|                                                           Spiggy |
//|                                                                  |
//+------------------------------------------------------------------+
#property copyright "Spiggy"
#property link      ""

#property indicator_chart_window
#property indicator_buffers 1
#property indicator_color1 White

//---- input parameters
extern int       Periods=14;
extern int       PriceType = 0;
extern int       Offset = 0;
extern int       phase=0;
extern int       BarCount=300;
//---- buffers
double ExtMapBuffer1[];
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
int init()
  {
//---- indicators
   SetIndexStyle(0,DRAW_LINE);
   SetIndexBuffer(0,ExtMapBuffer1);
//----
   return(0);
  }
//+------------------------------------------------------------------+
//| Custor indicator deinitialization function                       |
//+------------------------------------------------------------------+
int deinit()
  {
//---- 
   
//----
   return(0);
  }
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int start()
  {
   int    counted_bars=IndicatorCounted();
//---- 
// variable definitions
bool firstTime=True;
int AccountedBars=0;
int jj=0;
int ii=0;
int shift=0;
double series=0;

double vv=0;
double v1=0;
double v2=0;
double v3=0;
double v4=0;
double s8=0;
double s10=0;
double s18=0;
double s20=0;
int v5=0;
int v6=0;
double s28=0;
double s30=0;
int s38=0;
int s40=0;
int s48=0;
int s50=0;
int s58=0;
int s60=0;
double s68=0;
double s70=0;
double f8=0;
double f10=0;
double f18=0;
double f20=0;
double f28=0;
double f30=0;
double f38=0;
double f40=0;
double f48=0;
double f50=0;
double f58=0;
double f60=0;
double f68=0; 
double f70=0;
double f78=0;
double f80=0;
double f88=0;
double f90=0;
double f98=0;
double fA0=0;
double fA8=0;
double fB0=0;
double fB8=0;
double fC0=0;
double fC8=0;
double fD0=0;
double f0=0;
double fD8=0;
double fE0=0;
double fE8=0;
int fF0=0;
double fF8=0;
int value2=0;
double JMA=0;
double prevtime=0; 

double list[127];
double ring1[127];
double ring2[10];
double buffer[61]; 

ArrayInitialize(list,0);
ArrayInitialize(ring1,0);
ArrayInitialize(ring2,0);
ArrayInitialize(buffer,0);

if (firstTime)
{
  AccountedBars = Bars-BarCount;
  firstTime=False;
}

if ((CurTime()-prevtime)<30) 
  return(-1); 

prevtime=CurTime(); 
//SetLoopCount(0); 
{
  s28 = 63; 
  s30 = 64; 
  for ( ii = 1 ; ii <= s28 ; ii++)
  { 
    list[ii] = -1000000; 
  } 
  for ( ii = s30 ; ii <= 127  ; ii++ )
  { 
    list[ii] = 1000000; 
  } 
  f0 = 1; 
} 

//{--------------------------------------------------------------------} 
for ( shift=BarCount ; shift >= 0 ; shift-- )
{ 
   switch(PriceType) {
      case 0:
         series=Close[shift]; 
         break;
      case 1:
         series=Open[shift]; 
         break;
      case 2:
         series=High[shift]; 
         break;
      case 3:
         series=Low[shift]; 
         break;
      case 4:
         series=(High[shift]+Low[shift])/2; 
         break;
      case 5:
         series=(High[shift]+Low[shift]+Close[shift])/3; 
         break;
      case 6:
         series=(High[shift]+Low[shift]+Close[shift]+Close[shift])/4; 
         break;
  }
  if (fF0 < 61) 
  { 
    fF0= fF0 + 1; 
    buffer[fF0] = series; 
  } 
  //{--------------------------------------------------------------------} 
  // { main cycle } 
  if (fF0 > 30) 
  {
    if (Periods < 1.0000000002) 
    {
      f80 = 0.0000000001; //{1.0e-10} 
    }
    else 
    {
      f80 = (Periods - 1) / 2.0; 
    }
    
    if (phase < -100) 
    {
      f10 = 0.5;
    } 
    else
    {
      if (phase > 100)
      { 
           f10 = 2.5;
      } 
      else
      {
        f10 = phase / 100 + 1.5; 
      }
    }
  
    v1 = MathLog(MathSqrt(f80)); 
    v2 = v1; 
    if (v1 / MathLog(2.0) + 2.0 < 0.0) 
    {
      v3 = 0;
    }
    else 
    {
      v3 = v2 / MathLog(2.0) + 2.0;
    } 
    f98 = v3; 
  
    if (0.5 <= f98 - 2.0)
    { 
      f88 = f98 - 2.0;
    } 
    else 
    {
      f88 = 0.5;
    } 
  
    f78 = MathSqrt(f80) * f98;
    f90 = f78 / (f78 + 1.0); 
    f80 = f80 * 0.9; 
    f50 = f80 / (f80 + 2.0); 
  
    if (f0 != 0) 
    {
      f0 = 0; 
      v5 = 0; 
      for ( ii = 1 ; ii <=29 ; ii++ ) 
      { 
        if (buffer[ii+1] != buffer[ii])
        {
          v5 = 1.0;
        } 
      } 
      
      fD8 = v5*30.0; 
      if (fD8 == 0)
      { 
        f38 = series;
      } 
      else 
      {
        f38 = buffer[1]; 
      }
      f18 = f38; 
      if (fD8 > 29) 
        fD8 = 29; 
    }
    else 
      fD8 = 0; 
    
    for ( ii = fD8 ; ii >= 0 ; ii-- )
    { //{ another bigcycle...} 
      value2=31-ii; 
      if (ii == 0)
      { 
        f8 = series;
      } 
      else 
      {
        f8 = buffer[value2]; 
      }
      f28 = f8 - f18; 
      f48 = f8 - f38; 
      if (MathAbs(f28) > MathAbs(f48)) 
      {
        v2 = MathAbs(f28);
      } 
      else 
      {
        v2 = MathAbs(f48); 
      }
      fA0 = v2; 
      vv = fA0 + 0.0000000001; //{1.0e-10;} 
      
      if (s48 <= 1)
      { 
        s48 = 127;
      } 
      else
      { 
        s48 = s48 - 1;
      } 
      if (s50 <= 1) 
      {
        s50 = 10;
      } 
      else 
      {
        s50 = s50 - 1;
      } 
      if (s70 < 128) 
        s70 = s70 + 1; 
      s8 = s8 + vv - ring2[s50]; 
      ring2[s50] = vv; 
      if (s70 > 10) 
      {
        s20 = s8 / 10;
      } 
      else 
        s20 = s8 / s70; 
      
      if (s70 > 127) 
      {
        s10 = ring1[s48]; 
        ring1[s48] = s20; 
        s68 = 64; 
        s58 = s68; 
        while (s68 > 1) 
        { 
          if (list[s58] < s10) 
          {
            s68 = s68 *0.5; 
            s58 = s58 + s68; 
          }
          else 
          if (list[s58] <= s10) 
          {
            s68 = 1; 
          }
          else 
          { 
            s68 = s68 *0.5; 
            s58 = s58 - s68; 
          } 
        } 
      }
      else 
      { 
        ring1[s48] = s20; 
        if (s28 + s30 > 127) 
        {
          s30 = s30 - 1; 
          s58 = s30; 
        }
        else 
        { 
          s28 = s28 + 1; 
          s58 = s28; 
        } 
        if (s28 > 96) 
        {
          s38 = 96;
        } 
        else 
          s38 = s28; 
        if (s30 < 32)
        { 
          s40 = 32;
        } 
        else 
          s40 = s30; 
      } 
      
      s68 = 64; 
      s60 = s68; 
      while (s68 > 1) 
      { 
        if (list[s60] >= s20) 
        {
          if (list[s60 - 1] <= s20) 
          {
            s68 = 1; 
          }
          else 
          { 
            s68 = s68 *0.5; 
            s60 = s60 - s68; 
          } 
        }
        else 
        { 
          s68 = s68 *0.5; 
          s60 = s60 + s68; 
        } 
        if ((s60 == 127) && (s20 > list[127])) 
          s60 = 128; 
      } 
      
      if (s70 > 127) 
      {
        if (s58 >= s60) 
        {
          if ((s38 + 1 > s60) && (s40 - 1 < s60)) 
          {
            s18 = s18 + s20;
          }
          else 
          if ((s40 > s60) && (s40 - 1 < s58)) 
            s18 = s18 + list[s40 - 1]; 
        }
        else 
        if (s40 >= s60) 
        {
          if ((s38 + 1 < s60) && (s38 + 1 > s58)) 
            s18 = s18 + list[s38 + 1]; 
        }
        else 
        if (s38 + 2 > s60)
        { 
          s18 = s18 + s20;
        }
        else 
        if ((s38 + 1 < s60) && (s38 + 1 > s58)) 
          s18 = s18 + list[s38 + 1]; 
        
        if (s58 > s60) 
        {
          if ((s40 - 1 < s58) && (s38 + 1 > s58)) 
          {
            s18 = s18 - list[s58];
          }
          else 
          if ((s38 < s58) && (s38 + 1 > s60)) 
            s18 = s18 - list[s38]; 
        }
        else 
        { 
          if ((s38 + 1 > s58) && (s40 - 1 < s58)) 
          {
            s18 = s18 - list[s58];
          } 
          else 
          if ((s40 > s58) && (s40 < s60)) 
            s18 = s18 - list[s40]; 
        } 
      } 
      
      if (s58 <= s60) 
      {
        if (s58 >= s60) 
        {
          list[s60] = s20;
        } 
        else 
        { 
          for ( jj = s58 + 1 ; jj <= s60 - 1 ; jj++ ) 
          { 
            list[jj - 1] = list[jj]; 
          } 
          list[s60 - 1] = s20; 
        } 
      }
      else 
      { 
        for ( jj = s58 - 1 ; jj >= s60 ; jj-- )
        {
          list[jj + 1] = list[jj]; 
        } 
        list[s60] = s20; 
      } 
      
      if (s70 <= 127) 
      {
        s18 = 0; 
        for (jj = s40 ; jj <= s38 ; jj++)
        {
          s18 = s18 + list[jj]; 
        } 
      } 
      f60 = s18 / (s38 - s40 + 1); 
      if (fF8 + 1 > 31)
      { 
        fF8 = 31;
      }
      else
        fF8 = fF8 + 1; 
      
      if (fF8 <= 30) 
      {
        if (f28 > 0)
        { 
          f18 = f8;
        }
        else 
          f18 = f8 - f28 * f90; 
        if (f48 < 0)
        { 
          f38 = f8;
        } 
        else 
          f38 = f8 - f48 * f90; 
        fB8 = series; 
        //{EasyLanguage does not have "continue" statement} 
        if (fF8 != 30)
        { 
          continue; 
        }
        if (fF8 == 30) 
        {
          fC0 = series; 
          if (MathCeil(f78) >= 1)
          { 
            v4 = MathCeil(f78);
          } 
          else 
            v4 = 1; 
          fE8 = MathCeil(v4); 
          if (MathFloor(f78) >= 1)
          { 
            v2 = MathFloor(f78);
          } 
          else 
            v2 = 1; 
          fE0 = MathCeil(v2); 
          if (fE8 == fE0)
          { 
            f68 = 1;
          } 
          else 
          { 
            v4 = fE8 - fE0; 
            f68 = (f78 - fE0) / v4; 
          } 
          if (fE0 <= 29)
          { 
            v5 = fE0;
          }
          else 
            v5 = 29; 
          if (fE8 <= 29) 
          {
            v6 = fE8;
          } 
          else 
            v6 = 29; 
          fA8 = (series - buffer[fF0 - v5]) * (1 - f68) / fE0 + (series - buffer[fF0 - v6]) * f68 / fE8; 
        } 
      }
      else 
      { 
        if (f98 >= MathPow(fA0/f60, f88))
        { 
          v1 = MathPow(fA0/f60, f88);
        } 
        else 
          v1 = f98; 
        if (v1 < 1)
        { 
          v2 = 1;
        }
        else 
        { 
          if (f98 >= MathPow(fA0/f60, f88))
          { 
            v3 = MathPow(fA0/f60, f88);
          } 
          else 
            v3 = f98; 
          v2 = v3; 
        } 
        f58 = v2; 
        f70 = MathPow(f90, MathSqrt(f58)); 
        if (f28 > 0)
        { 
          f18 = f8;
        } 
        else 
        {
          f18 = f8 - f28 * f70; 
        }
        if (f48 < 0)
        { 
          f38 = f8; 
        }
        else 
        {
          f38 = f8 - f48 * f70;
        } 
      }   
    } 
  
    if (fF8 > 30) 
    {
      f30 = MathPow(f50, f58); 
      fC0 = (1 - f30) * series + f30 * fC0; 
      fC8 = (series - fC0) * (1 - f50) + f50 * fC8; 
      fD0 = f10 * fC8 + fC0; 
      f20 = -f30 * 2; 
      f40 = f30 * f30; 
      fB0 = f20 + f40 + 1; 
      fA8 = (fD0 - fB8) * fB0 + f40 * fA8; 
      fB8 = fB8 + fA8; 
    } 
    JMA= fB8; 
  } 
  if (fF0 <= 30)
  { 
    JMA=0;
  } 

//Print ("JMA is " + JMA + " shift is " + shift); 
  ExtMapBuffer1[shift-Offset]=JMA; 
  
  if (shift>0)
  { 
    AccountedBars=AccountedBars+1;
  }
}
//----
   return(0);
  }
//+------------------------------------------------------------------+

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