MA_AllAverages_v2.2_mtf_001
Download scriptThis tool is a comprehensive technical analysis indicator designed to calculate and display a wide variety of moving averages on a trading chart. Its primary purpose is to give traders the flexibility to choose from dozens of different mathematical models to smooth out price action and identify trends.
Core Functionality
The logic of this script revolves around three main customization pillars:
1. Diversity of Mathematical Models (Moving Averages) Unlike standard indicators that only offer one type of average, this script includes 20 different calculation methods. These range from basic statistics to advanced proprietary formulas, such as:
- Standard Averages: Simple (SMA), Exponential (EMA), and Wilder’s smoothing.
- Weighted & Geometric Averages: Models that give more importance to recent data or use different multiplicative scales.
- Advanced Trend Filters: Sophisticated indicators like the Hull Moving Average (HMA), T3, and various "Zero-Lag" or "Smoothed" variations designed to reduce the delay often found in traditional moving averages.
2. Flexible Price Source Selection The script allows you to define which specific price data point the average should be calculated from. Instead of just using the closing price, you can choose from:
- Standard prices (Open, High, Low, Close).
- Calculated prices (Median, Typical, or Weighted Close).
- Heikin Ashi Prices: It includes a built-in engine to calculate Heikin Ashi values (a specialized Japanese candlestick charting method) automatically before applying the moving average.
3. Multi-Timeframe Compatibility A key feature of this logic is its ability to "look ahead" or project data from different timeframes. If you are viewing a 1-minute chart but want to see the moving average calculated from a 1-hour or Daily timeframe, the script handles the math to align that higher-level data onto your current screen.
Visual Features
Beyond just drawing the average lines, the script includes a "Color Mode." When enabled, it dynamically changes the color of the line based on its direction:
- Upward Trend: The line changes color (e.g., to DeepSkyBlue) when the current value is higher than the previous one.
- Downward Trend: The line changes color (e.g., to Tomato) when the price begins to drop.
Summary for the User
In short, this script acts as an "all-in-one" Swiss Army knife for trend followers. It allows you to pick any mathematical smoothing method, apply it to any price type (including Heikin Ashi), and view it on any timeframe simultaneously, with optional color-coding to highlight immediate shifts in momentum.
//+------------------------------------------------------------------+
//| AllAverages_v2.2.mq4 |
//| Copyright © 2007-08, TrendLaboratory |
//| http://finance.groups.yahoo.com/group/TrendLaboratory |
//| E-mail: igorad2003@yahoo.co.uk |
//+------------------------------------------------------------------+
// List of MAs:
// MA_Method= 0: SMA - Simple Moving Average
// MA_Method= 1: EMA - Exponential Moving Average
// MA_Method= 2: Wilder - Wilder Exponential Moving Average
// MA_Method= 3: LWMA - Linear Weighted Moving Average
// MA_Method= 4: SineWMA - Sine Weighted Moving Average
// MA_Method= 5: TriMA - Triangular Moving Average
// MA_Method= 6: LSMA - Least Square Moving Average (or EPMA, Linear Regression Line)
// MA_Method= 7: SMMA - Smoothed Moving Average
// MA_Method= 8: HMA - Hull Moving Average by Alan Hull
// MA_Method= 9: ZeroLagEMA - Zero-Lag Exponential Moving Average
// MA_Method=10: DEMA - Double Exponential Moving Average by Patrick Mulloy
// MA_Method=11: T3 - T3 by T.Tillson
// MA_Method=12: ITrend - Instantaneous Trendline by J.Ehlers
// MA_Method=13: Median - Moving Median
// MA_Method=14: GeoMean - Geometric Mean
// MA_Method=15: REMA - Regularized EMA by Chris Satchwell
// MA_Method=16: ILRS - Integral of Linear Regression Slope
// MA_Method=17: IE/2 - Combination of LSMA and ILRS
// MA_Method=18: TriMAgen - Triangular Moving Average generalized by J.Ehlers
// MA_Method=19: VWMA - Volume Weighted Moving Average
// List of Prices:
// Price = 0 - Close
// Price = 1 - Open
// Price = 2 - High
// Price = 3 - Low
// Price = 4 - Median Price = (High+Low)/2
// Price = 5 - Typical Price = (High+Low+Close)/3
// Price = 6 - Weighted Close = (High+Low+Close*2)/4
// Price = 7 - Heiken Ashi Close haClose = (Open +High+Low+Close)/4;
// Price = 8 - Heiken Ashi Open haOpen = (Open[i+1]+Close[i+1])/2; (previous bar (Open+Close)/2)
// Price = 9 - Heiken Ashi High haHigh = Max (High, Open, Close);
// Price =10 - Heiken Ashi Low haLow = Min (Low, Open, Close) ;
#property copyright "Copyright © 2007-08, TrendLaboratory"
#property link "http://finance.groups.yahoo.com/group/TrendLaboratory"
#property indicator_chart_window
#property indicator_buffers 3
#property indicator_color1 Yellow
#property indicator_width1 2
#property indicator_color2 DeepSkyBlue
#property indicator_width2 2
#property indicator_color3 Tomato
#property indicator_width3 2
//----
extern int TimeFrame = 0;
extern int MA_Period = 14;
extern int Price = 0;
extern int MA_Shift = 0;
extern int Color_Mode = 0;
extern int MA_Method = 0;
//----
double MA[];
double Up[];
double Dn[];
//----
double tmp[][6];
double haClose[], haOpen[], haHigh[], haLow[];
int draw_begin, mBars, pBars, mcnt_bars;
string short_name;
extern string note_MA_Method ="0SMA 1EMA 2WilderSMMA ";
extern string _____ ="3LWMA 4SineWMA 5TriMA";
extern string ____ ="6LSMA 7SMMA 8HMA ";
extern string ___ ="9ZeroLagEMA 10DEMA 11T3";
extern string __ ="12iTrendJEhlers 13Median 14GeoMean 15REMA";
extern string _ ="16ILRS 17IE/2 18TriMAgen 19VWMA ";
extern string note_Price = "0C 1O 2H 3L 4Md 5Tp 6WghC";
extern string _________ = "Md(HL/2)4,Tp(HLC/3)5,Wgh(HLCC/4)6";
extern string HA_price_ = "7haC 8haO 9haH 10haL";
extern string _______ = "haC=(O+H+L+C)/4; haO=(O[i+1]+C[i+1])/2;haH=Max(H,O,C);haL=Min(L,O,C)";
extern string TimeFrames = "M1;5,15,30,60H1;240H4;1440D1;10080W1;43200MN";
//+------------------------------------------------------------------+
//| Custom indicator initialization function |
//+------------------------------------------------------------------+
int init()
{
//----
IndicatorDigits(MarketInfo(Symbol(),MODE_DIGITS)+2);
SetIndexStyle(0,DRAW_LINE);
SetIndexStyle(1,DRAW_LINE);
SetIndexStyle(2,DRAW_LINE);
if(TimeFrame == 0 || TimeFrame < Period()) TimeFrame = Period();
SetIndexShift(0,MA_Shift*TimeFrame/Period());
SetIndexShift(1,MA_Shift*TimeFrame/Period());
SetIndexShift(2,MA_Shift*TimeFrame/Period());
draw_begin=MA_Period*TimeFrame/Period();
//----
switch(MA_Method)
{
case 1 : short_name="EMA("; break;
case 2 : short_name="Wilder("; break;
case 3 : short_name="LWMA("; break;
case 4 : short_name="SineWMA("; break;
case 5 : short_name="TriMA("; break;
case 6 : short_name="LSMA("; break;
case 7 : short_name="SMMA("; break;
case 8 : short_name="HMA("; break;
case 9 : short_name="ZeroLagEMA("; break;
case 10: short_name="DEMA("; break;
case 11: short_name="T3("; break;
case 12: short_name="InstTrend("; break;
case 13: short_name="Median("; break;
case 14: short_name="GeometricMean("; break;
case 15: short_name="REMA("; break;
case 16: short_name="ILRS("; break;
case 17: short_name="IE/2("; break;
case 18: short_name="TriMA_gen("; break;
case 19: short_name="VWMA("; break;
default: MA_Method=0; short_name="SMA(";
}
switch(TimeFrame)
{
case 1 : string TF = "M1"; break;
case 5 : TF = "M5"; break;
case 15 : TF = "M15"; break;
case 30 : TF = "M30"; break;
case 60 : TF = "H1"; break;
case 240 : TF ="H4"; break;
case 1440 : TF="D1"; break;
case 10080 : TF="W1"; break;
case 43200 : TF="MN1"; break;
default : TF="Current";
}
IndicatorShortName(short_name+MA_Period+")"+" "+TF);
SetIndexDrawBegin(0,draw_begin);
SetIndexDrawBegin(1,draw_begin);
SetIndexDrawBegin(2,draw_begin);
SetIndexLabel(0,short_name+MA_Period+")"+" "+TF);
SetIndexLabel(1,short_name+MA_Period+")"+" "+TF+" UpTrend");
SetIndexLabel(2,short_name+MA_Period+")"+" "+TF+" DnTrend");
//----
SetIndexBuffer(0,MA);
SetIndexBuffer(1,Up);
SetIndexBuffer(2,Dn);
//----
return(0);
}
//+------------------------------------------------------------------+
//| AllAverages_v2.2 |
//+------------------------------------------------------------------+
int start()
{
int limit, y, i, shift, cnt_bars=IndicatorCounted();
double aPrice[], mMA[], mUp[], mDn[];
if(TimeFrame!=Period()) mBars = iBars(NULL,TimeFrame); else mBars = Bars;
if(mBars != pBars)
{
ArrayResize(aPrice,mBars);
ArrayResize(mMA,mBars);
if(MA_Method==10 || MA_Method==11) ArrayResize(tmp,mBars);
if(Color_Mode ==1)
{
ArrayResize(mUp,mBars);
ArrayResize(mDn,mBars);
}
if(Price > 6 && Price <= 10)
{
ArrayResize(haClose,mBars);
ArrayResize(haOpen,mBars);
ArrayResize(haHigh,mBars);
ArrayResize(haLow,mBars);
}
pBars = mBars;
}
if(cnt_bars<1)
{
for(i=1;i<=draw_begin;i++)
{
MA[Bars-i]=iMA(NULL,TimeFrame,1,0,0,Price,Bars-i);
Up[Bars-i]=EMPTY_VALUE;
Dn[Bars-i]=EMPTY_VALUE;
}
mcnt_bars = 0;
}
//----
if(mcnt_bars > 0) mcnt_bars--;
for(y=mcnt_bars;y<mBars;y++)
{
if(Price <= 6) aPrice[y] = iMA(NULL,TimeFrame,1,0,0,Price,mBars-y-1);
else
if(Price > 6 && Price <= 10) aPrice[y] = HeikenAshi(TimeFrame,Price-7,mBars-y-1);
switch(MA_Method)
{
case 1 : mMA[y] = EMA(aPrice[y],mMA,MA_Period,y); break;
case 2 : mMA[y] = Wilder(aPrice,mMA,MA_Period,y); break;
case 3 : mMA[y] = LWMA(aPrice,MA_Period,y); break;
case 4 : mMA[y] = SineWMA(aPrice,MA_Period,y); break;
case 5 : mMA[y] = TriMA(aPrice,MA_Period,y); break;
case 6 : mMA[y] = LSMA(aPrice,MA_Period,y); break;
case 7 : mMA[y] = SMMA(aPrice,mMA,MA_Period,y); break;
case 8 : mMA[y] = HMA(aPrice,MA_Period,y); break;
case 9 : mMA[y] = ZeroLagEMA(aPrice,mMA,MA_Period,y); break;
case 10: mMA[y] = DEMA(0,aPrice[y],MA_Period,1,y); break;
case 11: mMA[y] = T3(aPrice[y],MA_Period,0.7,y); break;
case 12: mMA[y] = ITrend(aPrice,mMA,MA_Period,y); break;
case 13: mMA[y] = Median(aPrice,MA_Period,y); break;
case 14: mMA[y] = GeoMean(aPrice,MA_Period,y); break;
case 15: mMA[y] = REMA(aPrice[y],mMA,MA_Period,0.5,y); break;
case 16: mMA[y] = ILRS(aPrice,MA_Period,y); break;
case 17: mMA[y] = IE2(aPrice,MA_Period,y); break;
case 18: mMA[y] = TriMA_gen(aPrice,MA_Period,y); break;
case 19: mMA[y] = VWMA(aPrice,MA_Period,y); break;
default: mMA[y] = SMA(aPrice,MA_Period,y); break;
}
if(Color_Mode == 1)
{
if(mMA[y] > mMA[y-1]) {mUp[y] = mMA[y]; mDn[y] = EMPTY_VALUE;}
else
if(mMA[y] < mMA[y-1]) {mUp[y] = EMPTY_VALUE; mDn[y] = mMA[y];}
else
{mUp[y] = EMPTY_VALUE; mDn[y] = EMPTY_VALUE;}
}
if(TimeFrame == Period())
{
MA[mBars-y-1] = mMA[y];
if(Color_Mode == 1)
{
Up[mBars-y-1] = mUp[y];
Dn[mBars-y-1] = mDn[y];
}
}
}
mcnt_bars = mBars-1;
if(TimeFrame > Period())
{
if(cnt_bars>0) cnt_bars--;
limit = Bars-cnt_bars+TimeFrame/Period()-1;
for(shift=0,y=0;shift<limit;shift++)
{
if (Time[shift] < iTime(NULL,TimeFrame,y)) y++;
MA[shift] = mMA[mBars-y-1];
if(Color_Mode == 1)
{
Up[shift] = mUp[mBars-y-1];
Dn[shift] = mDn[mBars-y-1];
}
}
}
//----
return(0);
}
// MA_Method=0: SMA - Simple Moving Average
double SMA(double array[],int per,int bar)
{
double Sum = 0;
for(int i = 0;i < per;i++) Sum += array[bar-i];
return(Sum/per);
}
// MA_Method=1: EMA - Exponential Moving Average
double EMA(double price,double array[],int per,int bar)
{
if(bar == 2) double ema = price;
else
if(bar > 2) ema = array[bar-1] + 2.0/(1+per)*(price - array[bar-1]);
return(ema);
}
// MA_Method=2: Wilder - Wilder Exponential Moving Average
double Wilder(double array1[],double array2[],int per,int bar)
{
if(bar == per) double wilder = SMA(array1,per,bar);
else
if(bar > per) wilder = array2[bar-1] + (array1[bar] - array2[bar-1])/per;
return(wilder);
}
// MA_Method=3: LWMA - Linear Weighted Moving Average
double LWMA(double array[],int per,int bar)
{
double Sum = 0;
double Weight = 0;
for(int i = 0;i < per;i++)
{
Weight+= (per - i);
Sum += array[bar-i]*(per - i);
}
if(Weight>0) double lwma = Sum/Weight;
else lwma = 0;
return(lwma);
}
// MA_Method=4: SineWMA - Sine Weighted Moving Average
double SineWMA(double array[],int per,int bar)
{
double pi = 3.1415926535;
double Sum = 0;
double Weight = 0;
for(int i = 0;i < per-1;i++)
{
Weight+= MathSin(pi*(i+1)/(per+1));
Sum += array[bar-i]*MathSin(pi*(i+1)/(per+1));
}
if(Weight>0) double swma = Sum/Weight;
else swma = 0;
return(swma);
}
// MA_Method=5: TriMA - Triangular Moving Average
double TriMA(double array[],int per,int bar)
{
double sma;
int len = MathCeil((per+1)*0.5);
double sum=0;
for(int i = 0;i < len;i++)
{
sma = SMA(array,len,bar-i);
sum += sma;
}
double trima = sum/len;
return(trima);
}
// MA_Method=6: LSMA - Least Square Moving Average (or EPMA, Linear Regression Line)
double LSMA(double array[],int per,int bar)
{
double Sum=0;
for(int i=per; i>=1; i--) Sum += (i-(per+1)/3.0)*array[bar-per+i];
double lsma = Sum*6/(per*(per+1));
return(lsma);
}
// MA_Method=7: SMMA - Smoothed Moving Average
double SMMA(double array1[],double array2[],int per,int bar)
{
if(bar == per) double smma = SMA(array1,per,bar);
else
if(bar > per)
{
double Sum = 0;
for(int i = 0;i < per;i++) Sum += array1[bar-i-1];
smma = (Sum - array2[bar-1] + array1[bar])/per;
}
return(smma);
}
// MA_Method=8: HMA - Hull Moving Average by Alan Hull
double HMA(double array[],int per,int bar)
{
double tmp[];
int len = MathSqrt(per);
ArrayResize(tmp,len);
if(bar == per) double hma = array[bar];
else
if(bar > per)
{
for(int i = 0; i < len;i++) tmp[len-i-1] = 2*LWMA(array,per/2,bar-i) - LWMA(array,per,bar-i);
hma = LWMA(tmp,len,len-1);
}
return(hma);
}
// MA_Method=9: ZeroLagEMA - Zero-Lag Exponential Moving Average
double ZeroLagEMA(double array1[],double array2[],int per,int bar)
{
double alfa = 2.0/(1+per);
int lag = 0.5*(per - 1);
if(bar == lag) double zema = array1[bar];
else
if(bar > lag) zema = alfa*(2*array1[bar] - array1[bar-lag]) + (1-alfa)*array2[bar-1];
return(zema);
}
// MA_Method=10: DEMA - Double Exponential Moving Average by Patrick Mulloy
double DEMA(int num,double price,int per,double v,int bar)
{
if(bar == 2) {double dema = price; tmp[bar][num] = dema; tmp[bar][num+1] = dema;}
else
if(bar > 2)
{
tmp[bar][num] = tmp[bar-1][num] + 2.0/(1+per)*(price - tmp[bar-1][num]);
tmp[bar][num+1] = tmp[bar-1][num+1] + 2.0/(1+per)*(tmp[bar][num] - tmp[bar-1][num+1]);
dema = (1+v)*tmp[bar][num] - v*tmp[bar][num+1];
}
return(dema);
}
// MA_Method=11: T3 by T.Tillson
double T3(double price,int per,double v,int bar)
{
if(bar == 2)
{
double T3 = price;
for(int k=0;k<=5;k++) tmp[bar][k] = T3;
}
else
if(bar > 2)
{
double dema1 = DEMA(0,price,per,v,bar);
double dema2 = DEMA(2,dema1,per,v,bar);
T3 = DEMA(4,dema2,per,v,bar);
}
return(T3);
}
// MA_Method=12: ITrend - Instantaneous Trendline by J.Ehlers
double ITrend(double price[],double array[],int per,int bar)
{
double alfa = 2.0/(per+1);
if(bar > 7)
double it = (alfa - alfa*alfa/4)*price[bar]+ 0.5*alfa*alfa*price[bar-1]-(alfa - 0.75*alfa*alfa)*price[bar-2]+
2*(1-alfa)*array[bar-1] - (1-alfa)*(1-alfa)*array[bar-2];
else
it = (price[bar] + 2*price[bar-1]+ price[bar-2])/4;
return(it);
}
// MA_Method=13: Median - Moving Median
double Median(double price[],int per,int bar)
{
double array[];
ArrayResize(array,per);
for(int i = 0; i < per;i++) array[i] = price[bar-i];
ArraySort(array);
int num = MathRound((per-1)/2);
if(MathMod(per,2)>0) double median = array[num]; else median = 0.5*(array[num]+array[num+1]);
return(median);
}
// MA_Method=14: GeoMean - Geometric Mean
double GeoMean(double price[],int per,int bar)
{
double gmean = MathPow(price[bar],1.0/per);
for(int i = 1; i < per;i++) gmean *= MathPow(price[bar-i],1.0/per);
return(gmean);
}
// MA_Method=15: REMA - Regularized EMA by Chris Satchwell
double REMA(double price,double array[],int per,double lambda,int bar)
{
double alpha = 2.0/(per + 1);
if(bar <= 3) double rema = price;
else
if(bar > 3)
rema = (array[bar-1]*(1+2*lambda) + alpha*(price - array[bar-1]) - lambda*array[bar-2])/(1+lambda);
return(rema);
}
// MA_Method=16: ILRS - Integral of Linear Regression Slope
double ILRS(double price[],int per,int bar)
{
double sum = per*(per-1)*0.5;
double sum2 = (per-1)*per*(2*per-1)/6.0;
double sum1 = 0;
double sumy = 0;
for(int i=0;i<per;i++)
{
sum1 += i*price[bar-i];
sumy += price[bar-i];
}
double num1 = per*sum1 - sum*sumy;
double num2 = sum*sum - per*sum2;
if(num2 != 0) double slope = num1/num2; else slope = 0;
double ilrs = slope + SMA(price,per,bar);
return(ilrs);
}
// MA_Method=17: IE/2 - Combination of LSMA and ILRS
double IE2(double price[],int per,int bar)
{
double ie = 0.5*(ILRS(price,per,bar) + LSMA(price,per,bar));
return(ie);
}
// MA_Method=18: TriMAgen - Triangular Moving Average Generalized by J.Ehlers
double TriMA_gen(double array[],int per,int bar)
{
int len1 = MathFloor((per+1)*0.5);
int len2 = MathCeil((per+1)*0.5);
double sum=0;
for(int i = 0;i < len2;i++) sum += SMA(array,len1,bar-i);
double trimagen = sum/len2;
return(trimagen);
}
// MA_Method=19: VWMA - Volume Weighted Moving Average
double VWMA(double array[],int per,int bar)
{
double Sum = 0;
double Weight = 0;
for(int i = 0;i < per;i++)
{
Weight+= Volume[mBars-bar-1+i];
Sum += array[bar-i]*Volume[mBars-bar-1+i];
}
if(Weight>0) double vwma = Sum/Weight;
else vwma = 0;
return(vwma);
}
double HeikenAshi(int tf,int price,int bar)
{
if(bar == iBars(NULL,TimeFrame)- 1)
{
haClose[bar] = iClose(NULL,tf,bar);
haOpen[bar] = iOpen(NULL,tf,bar);
haHigh[bar] = iHigh(NULL,tf,bar);
haLow[bar] = iLow(NULL,tf,bar);
}
else
{
haClose[bar] = (iOpen(NULL,tf,bar)+iHigh(NULL,tf,bar)+iLow(NULL,tf,bar)+iClose(NULL,tf,bar))/4;
haOpen[bar] = (haOpen[bar+1]+haClose[bar+1])/2;
haHigh[bar] = MathMax(iHigh(NULL,tf,bar),MathMax(haOpen[bar], haClose[bar]));
haLow[bar] = MathMin(iLow(NULL,tf,bar),MathMin(haOpen[bar], haClose[bar]));
}
switch(price)
{
case 0: return(haClose[bar]);break;
case 1: return(haOpen[bar]);break;
case 2: return(haHigh[bar]);break;
case 3: return(haLow[bar]);break;
}
}
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