EMA Script written from scratch without using the MovingAverage Function?

[jonesjb]

What would be the code for Exponential Moving Average if written from scratch without the common MovingAverage Function?

I need this for some MTF code I'm trying to write that will work on Mobile. I tried searching but couldn't find it. Can someone please help me? I'll post my final script once I finish it (assuming I can get this).

 

[rad14733]

@jonesjb I can think of two options off the top of my head... The first would be to use the ExpAverage() Function... The second would be to reference the MovAvgExponential Study... Alternatively, if you are a glutton for punishment, you could Google "Exponential Moving Average formula" and attempt to reinvent the wheel from scratch...

Hope this information is what you were looking for...

 

[jonesjb]

@jonesjb I can think of two options off the top of my head... The first would be to use the ExpAverage() Function... The second would be to reference the MovAvgExponential Study... Alternatively, if you are a glutton for punishment, you could Google "Exponential Moving Average formula" and attempt to reinvent the wheel from scratch...

Hope this information is what you were looking for...

Thank you, yes I did the latter... I came up with two methods (which get pretty close):

###Method 1 EMA

Def price_0 = close;
Def price_1 = close[1];
Def price_2 = close[2];
Def price_3 = close[3];
Def price_4 = close[4];
Def price_5 = close[5];

Def Mult = 2 / (5 + 1);
Def BK_mult = 1 - mult;

Def Smooth_0 = mult;
Def Smooth_1 = BK_mult;
Def Smooth_2 = BK_mult * BK_mult;
Def Smooth_3 = BK_mult * BK_mult * BK_mult;
Def Smooth_4 = BK_mult * BK_mult * BK_mult * BK_mult;

Def EMA_Top = price_0 + (price_1 * Smooth_1) + (price_2 * Smooth_2) + (price_3 * Smooth_3)+ (price_4 * Smooth_4);
Def EMA_Bottom = 1 + Smooth_1 + Smooth_2 + Smooth_3 + Smooth_4;

Plot EMA = EMA_Top / EMA_Bottom;



###Method 2 EMA

Def price_0 = close;
Def price_1 = close[1];
Def price_2 = close[2];
Def price_3 = close[3];
Def price_4 = close[4];
Def price_5 = close[5];

Def Mult = 2 / (5 + 1);
Def BK_mult = 1 - mult;

Def SMA = (price_1 + price_1 + price_3 + price_4 + price_5)/5;
plot EMA = (Price_0 * Mult) + (SMA * BK_mult);

 

[rad14733]

From a clock cycle efficiency standpoint, using the ExpAverage() Function would be the fastest method as it doesn't require that the parser evaluate as much Thinkscript code - which comes from my 40 years of bit-fiddling for code optimization dating back to the early days of PC programming... Function calls are always the fastest method...

 

[halcyonguy]

this site talks about the formulas and has an excel file with formulas
good luck
https://chartschool.stockcharts.com...erlays/moving-averages-simple-and-exponential