T3 Taotra_v2
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This technical script, known as the T3 indicator, is designed to provide traders with a high-performance smoothing tool for analyzing price movements. Unlike standard moving averages that can often lag behind current market prices, the T3 logic employs a complex mathematical approach to prioritize responsiveness while maintaining a clean, fluid line.
Core Logic and Behavior
The primary objective of this script is to "smooth" out the market noise—the minor, erratic fluctuations in price—to reveal the underlying trend more clearly. It achieves this through three distinct layers of logic:
1. Weighted Dynamics The script calculates specific weights for each data point based on user-defined periods. Instead of treating all past data equally, it creates a sophisticated weighting system that determines how much influence current price action should have compared to historical data. This allows the user to customize the "sensitivity" of the indicator.
2. Multi-Stage Filtering (The Recursive Chain) The logic operates by passing the price through a series of nested calculations. Think of this as a multi-stage filtration system: the raw price enters the first stage, the result is fed into the second, then the third, and so on. By repeating this process multiple times (specifically six layers in this script), it filters out "jitter" and erratic spikes more effectively than a single-pass filter could.
3. Polynomial Optimization The final step involves a specific mathematical formula that blends these filtered results together. This ensures that the resulting lines are not just delayed versions of the price, but are optimized to stay as close to the current price as possible without sacrificing the smoothness provided by the multi-stage filtering.
Key Features for the User
- Multiple Trend Lines: The script generates six distinct lines simultaneously. By adjusting the periods (the "MA_Period" settings), traders can view different timeframes at once—for example, watching short-term momentum and long-term trends on a single chart.
- Customizable Smoothing: Through the variable "b," the user can fine-tune the balance between speed and smoothness. A higher value typically results in a smoother curve, while lower values make the line react faster to sudden price changes.
- Visual Clarity: The indicator is designed to appear in a separate window or as an overlay, using distinct colors (Yellow, Red, Magenta, Aqua, White, and Blue) to help traders distinguish between different trend layers at a glance.
Summary of Use
In simple terms, this script acts as a "high-definition" lens for price action. It takes the raw, messy movement of the market and translates it into several smooth, flowing lines that help traders identify the true direction of the trend while ignoring the distractions of minor price noise.
/*-----------------------------+
| |
| Shared by www.Aptrafx.com |
| |
+------------------------------*/
//+------------------------------------------------------------------+
//| T3.mq4 |
//|
//| |
//+------------------------------------------------------------------+
#property indicator_separate_window
#property indicator_buffers 6
#property indicator_color1 Yellow
#property indicator_color2 Red
#property indicator_color3 Magenta
#property indicator_color4 Aqua
#property indicator_color5 White
#property indicator_color6 Blue
extern int MA_Period_1 = 3;
extern int MA_Period_2 = 5;
extern int MA_Period_3 = 0; //8
extern int MA_Period_4 = 0; //12
extern int MA_Period_5 = 21;
extern int MA_Period_6 = 34;
extern double b = 0.7;
double MapBuffer1[];
double MapBuffer2[];
double MapBuffer3[];
double MapBuffer4[];
double MapBuffer5[];
double MapBuffer6[];
double e1[][7],e2[][7],e3[][7],e4[][7],e5[][7],e6[][7];
double c1[7],c2[7],c3[7],c4[7];
double n[7],w1[7],w2[7],b2[7],b3[7];
//+------------------------------------------------------------------+
//| Custom indicator initialization function |
//+------------------------------------------------------------------+
int init()
{
//---- indicators setting
SetIndexStyle(0,DRAW_LINE,STYLE_SOLID,1,Yellow);
SetIndexStyle(1,DRAW_LINE,STYLE_SOLID,1,Red);
SetIndexStyle(2,DRAW_LINE,STYLE_SOLID,1,Magenta);
SetIndexStyle(3,DRAW_LINE,STYLE_SOLID,1,Aqua);
SetIndexStyle(4,DRAW_LINE,STYLE_SOLID,2,White);
SetIndexStyle(5,DRAW_LINE,STYLE_SOLID,2,Blue);
IndicatorDigits(MarketInfo(Symbol(),MODE_DIGITS));
IndicatorShortName("T3");
SetIndexDrawBegin(0,100);
SetIndexDrawBegin(1,100);
SetIndexDrawBegin(2,100);
SetIndexDrawBegin(3,100);
SetIndexDrawBegin(4,100);
SetIndexDrawBegin(5,100);
SetIndexBuffer(0,MapBuffer1);
SetIndexBuffer(1,MapBuffer2);
SetIndexBuffer(2,MapBuffer3);
SetIndexBuffer(3,MapBuffer4);
SetIndexBuffer(4,MapBuffer5);
SetIndexBuffer(5,MapBuffer6);
//---- variable reset
n[1]=MA_Period_1;
n[2]=MA_Period_2;
n[3]=MA_Period_3;
n[4]=MA_Period_4;
n[5]=MA_Period_5;
n[6]=MA_Period_6;
for(int l=1; l<7; l++)
{
//e2[l]=0; e3[l]=0; e4[l]=0; e5[l]=0; e6[l]=0;
c1[l]=0; c2[l]=0; c3[l]=0; c4[l]=0;
w1[l]=0; w2[l]=0;
b2[l]=0; b3[l]=0;
b2[l]=b*b;
b3[l]=b2[l]*b;
c1[l]=-b3[l];
c2[l]=(3*(b2[l]+b3[l]));
c3[l]=-3*(2*b2[l]+b+b3[l]);
c4[l]=(1+3*b+b3[l]+3*b2[l]);
if (n[l]<1) n[l]=1;
n[l] = 1 + 0.5*(n[l]-1);
w1[l] = 2 / (n[l] + 1);
w2[l] = 1 - w1[l];
}
//----
return(0);
}
//+------------------------------------------------------------------+
//| Custom indicator iteration function |
//+------------------------------------------------------------------+
int start()
{
int limit,MB[],ii,i;
int counted_bars=IndicatorCounted();
if (counted_bars<0) return (-1);
if (counted_bars>0) counted_bars--;
limit=(Bars-counted_bars)-1;
//---- indicator calculation
ArrayResize(e1, Bars+1);
ArrayResize(e2, Bars+1);
ArrayResize(e3, Bars+1);
ArrayResize(e4, Bars+1);
ArrayResize(e5, Bars+1);
ArrayResize(e6, Bars+1);
for(i=limit; i>=0; i--)
{
for(ii=1; ii<7; ii++)
{
e1[Bars-i][ii] = w1[ii]*Close[i] + w2[ii]*e1[(Bars-i)-1][ii];
e2[Bars-i][ii] = w1[ii]*e1[Bars-i][ii] + w2[ii]*e2[(Bars-i)-1][ii];
e3[Bars-i][ii] = w1[ii]*e2[Bars-i][ii] + w2[ii]*e3[(Bars-i)-1][ii];
e4[Bars-i][ii] = w1[ii]*e3[Bars-i][ii] + w2[ii]*e4[(Bars-i)-1][ii];
e5[Bars-i][ii] = w1[ii]*e4[Bars-i][ii] + w2[ii]*e5[(Bars-i)-1][ii];
e6[Bars-i][ii] = w1[ii]*e5[Bars-i][ii] + w2[ii]*e6[(Bars-i)-1][ii];
if (ii==1) MapBuffer1[i]=c1[ii]*e6[Bars-i][ii] + c2[ii]*e5[Bars-i][ii] + c3[ii]*e4[Bars-i][ii] + c4[ii]*e3[Bars-i][ii];
if (ii==2) MapBuffer2[i]=c1[ii]*e6[Bars-i][ii] + c2[ii]*e5[Bars-i][ii] + c3[ii]*e4[Bars-i][ii] + c4[ii]*e3[Bars-i][ii];
if (ii==3) MapBuffer3[i]=c1[ii]*e6[Bars-i][ii] + c2[ii]*e5[Bars-i][ii] + c3[ii]*e4[Bars-i][ii] + c4[ii]*e3[Bars-i][ii];
if (ii==4) MapBuffer4[i]=c1[ii]*e6[Bars-i][ii] + c2[ii]*e5[Bars-i][ii] + c3[ii]*e4[Bars-i][ii] + c4[ii]*e3[Bars-i][ii];
if (ii==5) MapBuffer5[i]=c1[ii]*e6[Bars-i][ii] + c2[ii]*e5[Bars-i][ii] + c3[ii]*e4[Bars-i][ii] + c4[ii]*e3[Bars-i][ii];
if (ii==6) MapBuffer6[i]=c1[ii]*e6[Bars-i][ii] + c2[ii]*e5[Bars-i][ii] + c3[ii]*e4[Bars-i][ii] + c4[ii]*e3[Bars-i][ii];
}
}
//----
return(0);
}
//+------------------------------------------------------------------+
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