ボリンジャーバンドのMA種別を変更する

EMAを使っている人は、EMAベースのボリンジャーバンドってどうなるんだろうと考えたことが1度はあるのかもしれない。

ボリンジャーバンドはSMAベースのインジケータで、EMAベースのバンドを表示することは出来ない。

この理由は、ボリンジャーバンドが使っている標準偏差にある。
標準偏差は、計算の中で対象のデータと平均の差を求めており、ボリンジャーバンドではこの平均の値としてSMAを用いている。

仮にEMAをボリンジャーバンドのMA種別に使用した場合は、もはやそれは標準偏差ではなくなってしまう。

とは言え、やれないことはないのでやってみる。

MT4、MT5ともにMetaEditorにボリンジャーバンドのファイルがあるのでそれを編集する。

//+------------------------------------------------------------------+
//|                                                        Bands.mq4 |
//|                   Copyright 2005-2014, MetaQuotes Software Corp. |
//|                                              http://www.mql4.com |
//+------------------------------------------------------------------+
#property copyright   "2005-2014, MetaQuotes Software Corp."
#property link        "http://www.mql4.com"
#property description "Bollinger Bands"
#property strict

#include <MovingAverages.mqh>

#property indicator_chart_window
#property indicator_buffers 3
#property indicator_color1 LightSeaGreen
#property indicator_color2 LightSeaGreen
#property indicator_color3 LightSeaGreen
//--- indicator parameters
input int    InpBandsPeriod=20;      // Bands Period
input int    InpBandsShift=0;        // Bands Shift
input double InpBandsDeviations=2.0; // Bands Deviations
//--- buffers
double ExtMovingBuffer[];
double ExtUpperBuffer[];
double ExtLowerBuffer[];
double ExtStdDevBuffer[];
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
int OnInit(void)
  {
//--- 1 additional buffer used for counting.
   IndicatorBuffers(4);
   IndicatorDigits(Digits);
//--- middle line
   SetIndexStyle(0,DRAW_LINE);
   SetIndexBuffer(0,ExtMovingBuffer);
   SetIndexShift(0,InpBandsShift);
   SetIndexLabel(0,"Bands SMA");
//--- upper band
   SetIndexStyle(1,DRAW_LINE);
   SetIndexBuffer(1,ExtUpperBuffer);
   SetIndexShift(1,InpBandsShift);
   SetIndexLabel(1,"Bands Upper");
//--- lower band
   SetIndexStyle(2,DRAW_LINE);
   SetIndexBuffer(2,ExtLowerBuffer);
   SetIndexShift(2,InpBandsShift);
   SetIndexLabel(2,"Bands Lower");
//--- work buffer
   SetIndexBuffer(3,ExtStdDevBuffer);
//--- check for input parameter
   if(InpBandsPeriod<=0)
     {
      Print("Wrong input parameter Bands Period=",InpBandsPeriod);
      return(INIT_FAILED);
     }
//---
   SetIndexDrawBegin(0,InpBandsPeriod+InpBandsShift);
   SetIndexDrawBegin(1,InpBandsPeriod+InpBandsShift);
   SetIndexDrawBegin(2,InpBandsPeriod+InpBandsShift);
//--- initialization done
   return(INIT_SUCCEEDED);
  }
//+------------------------------------------------------------------+
//| Bollinger Bands                                                  |
//+------------------------------------------------------------------+
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[])
  {
   int i,pos;
//---
   if(rates_total<=InpBandsPeriod || InpBandsPeriod<=0)
      return(0);
//--- counting from 0 to rates_total
   ArraySetAsSeries(ExtMovingBuffer,false);
   ArraySetAsSeries(ExtUpperBuffer,false);
   ArraySetAsSeries(ExtLowerBuffer,false);
   ArraySetAsSeries(ExtStdDevBuffer,false);
   ArraySetAsSeries(close,false);
//--- initial zero
   if(prev_calculated<1)
     {
      for(i=0; i<InpBandsPeriod; i++)
        {
         ExtMovingBuffer[i]=EMPTY_VALUE;
         ExtUpperBuffer[i]=EMPTY_VALUE;
         ExtLowerBuffer[i]=EMPTY_VALUE;
        }
     }
//--- starting calculation
   if(prev_calculated>1)
      pos=prev_calculated-1;
   else
      pos=0;
//--- main cycle
   for(i=pos; i<rates_total && !IsStopped(); i++)
     {
      //--- middle line
      if(i==0) {
         ExtMovingBuffer[i]=ExponentialMA(i,InpBandsPeriod,close[i],close);
      } else {
         ExtMovingBuffer[i]=ExponentialMA(i,InpBandsPeriod,ExtMovingBuffer[i-1],close);
      }
      //--- calculate and write down StdDev
      ExtStdDevBuffer[i]=StdDev_Func(i,close,ExtMovingBuffer,InpBandsPeriod);
      //--- upper line
      ExtUpperBuffer[i]=ExtMovingBuffer[i]+InpBandsDeviations*ExtStdDevBuffer[i];
      //--- lower line
      ExtLowerBuffer[i]=ExtMovingBuffer[i]-InpBandsDeviations*ExtStdDevBuffer[i];
      //---
     }
//---- OnCalculate done. Return new prev_calculated.
   return(rates_total);
  }
//+------------------------------------------------------------------+
//| Calculate Standard Deviation                                     |
//+------------------------------------------------------------------+
double StdDev_Func(int position,const double &price[],const double &MAprice[],int period)
  {
//--- variables
   double StdDev_dTmp=0.0;
//--- check for position
   if(position>=period)
     {
      //--- calcualte StdDev
      for(int i=0; i<period; i++)
         StdDev_dTmp+=MathPow(price[position-i]-MAprice[position],2);
      StdDev_dTmp=MathSqrt(StdDev_dTmp/period);
     }
//--- return calculated value
   return(StdDev_dTmp);
  }
//+------------------------------------------------------------------+
//+------------------------------------------------------------------+
//|                                                           BB.mq5 |
//|                   Copyright 2009-2020, MetaQuotes Software Corp. |
//|                                              http://www.mql5.com |
//+------------------------------------------------------------------+
#property copyright   "2009-2020, MetaQuotes Software Corp."
#property link        "http://www.mql5.com"
#property description "Bollinger Bands"
#include <MovingAverages.mqh>
//---
#property indicator_chart_window
#property indicator_buffers 4
#property indicator_plots   3
#property indicator_type1   DRAW_LINE
#property indicator_color1  LightSeaGreen
#property indicator_type2   DRAW_LINE
#property indicator_color2  LightSeaGreen
#property indicator_type3   DRAW_LINE
#property indicator_color3  LightSeaGreen
#property indicator_label1  "Bands middle"
#property indicator_label2  "Bands upper"
#property indicator_label3  "Bands lower"
//--- input parametrs
input int     InpBandsPeriod=20;       // Period
input int     InpBandsShift=0;         // Shift
input double  InpBandsDeviations=2.0;  // Deviation
//--- global variables
int           ExtBandsPeriod,ExtBandsShift;
double        ExtBandsDeviations;
int           ExtPlotBegin=0;
//--- indicator buffer
double        ExtMLBuffer[];
double        ExtTLBuffer[];
double        ExtBLBuffer[];
double        ExtStdDevBuffer[];
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
void OnInit()
  {
//--- check for input values
   if(InpBandsPeriod<2)
     {
      ExtBandsPeriod=20;
      PrintFormat("Incorrect value for input variable InpBandsPeriod=%d. Indicator will use value=%d for calculations.",InpBandsPeriod,ExtBandsPeriod);
     }
   else
      ExtBandsPeriod=InpBandsPeriod;
   if(InpBandsShift<0)
     {
      ExtBandsShift=0;
      PrintFormat("Incorrect value for input variable InpBandsShift=%d. Indicator will use value=%d for calculations.",InpBandsShift,ExtBandsShift);
     }
   else
      ExtBandsShift=InpBandsShift;
   if(InpBandsDeviations==0.0)
     {
      ExtBandsDeviations=2.0;
      PrintFormat("Incorrect value for input variable InpBandsDeviations=%f. Indicator will use value=%f for calculations.",InpBandsDeviations,ExtBandsDeviations);
     }
   else
      ExtBandsDeviations=InpBandsDeviations;
//--- define buffers
   SetIndexBuffer(0,ExtMLBuffer);
   SetIndexBuffer(1,ExtTLBuffer);
   SetIndexBuffer(2,ExtBLBuffer);
   SetIndexBuffer(3,ExtStdDevBuffer,INDICATOR_CALCULATIONS);
//--- set index labels
   PlotIndexSetString(0,PLOT_LABEL,"Bands("+string(ExtBandsPeriod)+") Middle");
   PlotIndexSetString(1,PLOT_LABEL,"Bands("+string(ExtBandsPeriod)+") Upper");
   PlotIndexSetString(2,PLOT_LABEL,"Bands("+string(ExtBandsPeriod)+") Lower");
//--- indicator name
   IndicatorSetString(INDICATOR_SHORTNAME,"Bollinger Bands");
//--- indexes draw begin settings
   ExtPlotBegin=ExtBandsPeriod-1;
   PlotIndexSetInteger(0,PLOT_DRAW_BEGIN,ExtBandsPeriod);
   PlotIndexSetInteger(1,PLOT_DRAW_BEGIN,ExtBandsPeriod);
   PlotIndexSetInteger(2,PLOT_DRAW_BEGIN,ExtBandsPeriod);
//--- indexes shift settings
   PlotIndexSetInteger(0,PLOT_SHIFT,ExtBandsShift);
   PlotIndexSetInteger(1,PLOT_SHIFT,ExtBandsShift);
   PlotIndexSetInteger(2,PLOT_SHIFT,ExtBandsShift);
//--- number of digits of indicator value
   IndicatorSetInteger(INDICATOR_DIGITS,_Digits+1);
  }
//+------------------------------------------------------------------+
//| Bollinger Bands                                                  |
//+------------------------------------------------------------------+
int OnCalculate(const int rates_total,
                const int prev_calculated,
                const int begin,
                const double &price[])
  {
   if(rates_total<ExtPlotBegin)
      return(0);
//--- indexes draw begin settings, when we've recieved previous begin
   if(ExtPlotBegin!=ExtBandsPeriod+begin)
     {
      ExtPlotBegin=ExtBandsPeriod+begin;
      PlotIndexSetInteger(0,PLOT_DRAW_BEGIN,ExtPlotBegin);
      PlotIndexSetInteger(1,PLOT_DRAW_BEGIN,ExtPlotBegin);
      PlotIndexSetInteger(2,PLOT_DRAW_BEGIN,ExtPlotBegin);
     }
//--- starting calculation
   int pos;
   if(prev_calculated>1)
      pos=prev_calculated-1;
   else
      pos=0;
//--- main cycle
   for(int i=pos; i<rates_total && !IsStopped(); i++)
     {
      //--- middle line
      if(i==0) {
         ExtMLBuffer[i]=ExponentialMA(i,InpBandsPeriod,price[i],price);
      } else {
         ExtMLBuffer[i]=ExponentialMA(i,InpBandsPeriod,ExtMLBuffer[i-1],price);
      }
      //--- calculate and write down StdDev
      ExtStdDevBuffer[i]=StdDev_Func(i,price,ExtMLBuffer,ExtBandsPeriod);
      //--- upper line
      ExtTLBuffer[i]=ExtMLBuffer[i]+ExtBandsDeviations*ExtStdDevBuffer[i];
      //--- lower line
      ExtBLBuffer[i]=ExtMLBuffer[i]-ExtBandsDeviations*ExtStdDevBuffer[i];
     }
//--- OnCalculate done. Return new prev_calculated.
   return(rates_total);
  }
//+------------------------------------------------------------------+
//| Calculate Standard Deviation                                     |
//+------------------------------------------------------------------+
double StdDev_Func(const int position,const double &price[],const double &ma_price[],const int period)
  {
   double std_dev=0.0;
//--- calcualte StdDev
   if(position>=period)
     {
      for(int i=0; i<period; i++)
         std_dev+=MathPow(price[position-i]-ma_price[position],2.0);
      std_dev=MathSqrt(std_dev/period);
     }
//--- return calculated value
   return(std_dev);
  }
//+------------------------------------------------------------------+

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