MatrixInd_3

Download script
Author: Copyright � 2008, MetaQuotes Software Corp.
MatrixInd_3

This script functions as a sophisticated data processing tool designed to harmonize and align financial market data from multiple different assets into a single, comparable format. Its primary purpose is to "level the playing field" so that price movements from various currencies or instruments can be analyzed side-by-side using consistent logic.

Core Functionality

Multi-Asset Data Collection The script monitors three specific categories of market data simultaneously:

  1. The current asset you are viewing on your chart.
  2. The EUR/GBP currency pair.
  3. The USD/JPY currency pair.

It captures historical price data for these assets to create a "matrix" of information, allowing the system to see how these different markets behaved over the same period of time.

Data Normalization (The Core Logic) Because different assets have vastly different price points (for example, one might trade at 1.20 while another trades at 140.00), they cannot be compared directly in their raw form. This script solves that through a process called Normalization. It transforms raw prices into standardized units based on four different mathematical approaches:

  • Standard Deviation (Mean-Based): It calculates the average price and how much the price typically fluctuates, then adjusts the data to show how far it deviates from that "normal" path.
  • Range-Based: It identifies the highest and lowest points reached during a specific period and translates the prices based on their position within that high-low range.

Operating Modes

The script is highly flexible in how it handles this normalization. It offers different modes to decide where the "rules" for normalization come from:

  • Independent Scaling: Each asset is scaled based solely on its own recent history.
  • Comparative Scaling: The script can take the mathematical rules learned from one set of data (the "Sample") and apply them to a new set of data (the "Test"). This is particularly useful for identifying patterns where one market might be mimicking the behavior or volatility of another.

Visual Output

The result of these complex calculations is presented as three distinct lines on a separate window in your trading platform. These lines represent the normalized values of the three assets, allowing you to see their relative strengths and behaviors clearly, regardless of their actual price differences in the real world.

3 Views
0 Downloads
0 Favorites
MatrixInd_3 
//+------------------------------------------------------------------+
//|                                                  MatrixInd_1.mq4 |
//|                      Copyright © 2008, MetaQuotes Software Corp. |
//|                                        http://www.metaquotes.net |
//+------------------------------------------------------------------+
#property copyright "Copyright © 2008, MetaQuotes Software Corp."
#property link      "http://www.metaquotes.net"

#property indicator_separate_window
//#property indicator_chart_window
#property indicator_buffers 3
#property indicator_color1 Yellow
#property indicator_color2 Red
#property indicator_color3 LightSeaGreen
#property indicator_level1 0.0

#define LIN1 100 //sample lines
#define LIN2 100 //test lines
#define COL 3  //attributes


extern bool normalize_bufers = true;
extern   int normalize_type=3;


double M_test_attr[LIN2][COL]; 
double M_sample_attr[LIN1][COL];  

double Buffer1[];
double Buffer2[];
double Buffer3[];


//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
int init()
  {
//---- indicators
   SetIndexStyle(0,DRAW_LINE);
   SetIndexBuffer(0,Buffer1);
   SetIndexStyle(1,DRAW_LINE);
   SetIndexBuffer(1,Buffer2);
   SetIndexStyle(2,DRAW_LINE);
   SetIndexBuffer(2,Buffer3);
//----
   return(0);
  }
//+------------------------------------------------------------------+
//| Custom indicator deinitialization function                       |
//+------------------------------------------------------------------+
int deinit()
  {
//----
   
//----
   return(0);
  }
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int start()
  {
   int    counted_bars=IndicatorCounted();
//----
if(isNewBar1(PERIOD_M1))
{
  main();
}    
//----
   return(0);
  }
//+------------------------------------------------------------------+
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int myBars1;

bool isNewBar1(int tf1)
  {
//----
   bool res=false;
   if (myBars1!=iBars(Symbol(),tf1))
   {
      res=true;
      myBars1=iBars(Symbol(),tf1);
   }  
  
//----
   return(res);
  }
  
void main()
{
  int i,j;
  
  for(i=0;i<LIN1;i++)
  {  
      M_sample_attr[i][0]=iClose(Symbol(),0,i);   
      M_sample_attr[i][1]=iClose("EURGBP",0,i);   
      M_sample_attr[i][2]=iClose("USDJPY",0,i);   
  }
  for(i=0;i<LIN2;i++)
  {  
      M_test_attr[i][0]=iClose(Symbol(),0,i);   
      M_test_attr[i][1]=iClose("EURGBP",0,i);   
      M_test_attr[i][2]=iClose("USDJPY",0,i);   
  }
      
      
  if(normalize_bufers)    
    svm_normalize_test(M_sample_attr,M_test_attr,normalize_type);	      
  for(i=0; i < LIN2;i++)
  {      
     Buffer1[i]=M_test_attr[i][0];    
     Buffer2[i]=M_test_attr[i][1];    
     Buffer3[i]=M_test_attr[i][2];    
  }
}  


/////////////////////////////////////////////////////////////////
#define DBL_MAX 99999999999999999999
//+------------------------------------------------------------------+
//|                                                                  
//+------------------------------------------------------------------+
double MAX(double x, double y)
{
  if(x>y)
    return(x);
  else
    return(y);  
}

//+------------------------------------------------------------------+
//|                                                                  
//+------------------------------------------------------------------+
double MIN(double x, double y)
{
  if(x<y)
    return(x);
  else
    return(y);  
}

//+------------------------------------------------------------------+
//| Normalize matrix 'fmx' using precomputed 'xmean', 'std'. The                                                                  
//| normalization is: for each column, subtract 'xmean' and, if the
//| column 'std' is non-zero, divide by 'std'.
//| d=nr_of_attrib
//| nv=nr_of_sample_lines 
//| double **x --> double **svm_samples_attrib_scaled_dyn_
//| double *xmean = fmx_mean(x2, nv, d);
//| double *std = fmx_std(x2, nv, d);
//| fmx_prenorm(x, nv, d, xmean, std);
//|       X  - mean
//|        i
//|   S = ---------
//|    i     std
//+------------------------------------------------------------------+
void fmx_prenorm(
                 double &fmx[][], 
                 double xmean[], //  double *xmean = fmx_mean(x2, nv, d);
                 double std[]   //  double *std = fmx_std(x2, nv, d);
                 )
{
  int    i;
  int    j;
  double  f;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);

    for (i = 0; i < columns; i++)
      for (j = 0; j < rows; j++)
	  {
	    f = fmx[j][i];
	      if (std[i] != 0)
		     fmx[j][i] = (f-xmean[i])/std[i];
	      else
		     fmx[j][i] = f-xmean[i];
	 }
	 

	 
}

//+------------------------------------------------------------------+
//|              max X  +  min X
//|               i   i     i   i
//|   midrange = ----------------
//|                     2
//|   range = max X  -  min X
//|            i   i     i   i
//|    
//|       X  - midrange
//|        i
//|   S = -------------
//|    i     range / 2                                                                     
//+------------------------------------------------------------------+
void fmx_prenorm_range(
                       double &fmx[][], 
                       double xrange[], 
                       double xmidrange[] 
                       )
{
  int    i;
  int    j;
  double  f;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);

  for (i = 0; i < columns; i++)
    for (j = 0; j < rows; j++)
    {
	    f = fmx[j][i];
	      if (xrange[i] != 0)
		    fmx[j][i] = (f-xmidrange[i])/(xrange[i]/2);
	      else
		    fmx[j][i] = f-xmidrange[i];

	  }
}

//+------------------------------------------------------------------+
//|                                                                  
//+------------------------------------------------------------------+
void fmx_midrange(double  &xmidrange[],double fmx[][])
{
  int    i;
  int    j;
  double smax = -DBL_MAX;
  double smin = DBL_MAX;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);
  ArrayResize(xmidrange,columns);
  for (i = 0; i < columns; i++)
  {
     smax = -DBL_MAX;
     smin = DBL_MAX;
     for (j = 0; j < rows; j++)
	  {
	      smax=MAX(fmx[j][i],smax);
         smin=MIN(fmx[j][i],smin);
     }  
	  xmidrange[i] = (smax+smin)/2;
  }
}
//+------------------------------------------------------------------+
//|                                                                  
//+------------------------------------------------------------------+
void fmx_range(double  &xrange[], double fmx[][])
{
  int    i;
  int    j;
  double smax = -DBL_MAX;
  double smin = DBL_MAX;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);
  ArrayResize(xrange,columns);
  for (i = 0; i < columns; i++)
  {
     smax = -DBL_MAX;
     smin = DBL_MAX;
     for (j = 0; j < rows; j++)
	  {
	     smax=MAX(fmx[j][i],smax);
        smin=MIN(fmx[j][i],smin);
     }  
	  xrange[i] = smax-smin;
   }

}


//+------------------------------------------------------------------+
//|                                                                  
//+------------------------------------------------------------------+
void fmx_max(double &xrange[],double fmx[][])
{
  int    i;
  int    j;
  double smax = -DBL_MAX;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);

  ArrayResize(xrange,columns);
  for (i = 0; i < columns; i++)
  {
    smax = -DBL_MAX;
	 for (j = 0; j < rows; j++)
	 {
	   smax=MAX(fmx[j][i],smax);
    }  
    xrange[i] = smax;
  }
}

//+------------------------------------------------------------------+
//|                                                                  
//+------------------------------------------------------------------+
void fmx_min(double &xrange[],double fmx[][])
{
  int    i;
  int    j;
  double smin = DBL_MAX;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);

  ArrayResize(xrange,columns);
  for (i = 0; i < columns; i++)
  {
    smin = DBL_MAX;
    for (j = 0; j < rows; j++)
	 {
      smin=MIN(fmx[j][i],smin);
    }  
    xrange[i] = smin;
  }
}

//+------------------------------------------------------------------+
//| Return mean values of columns in 'fmx'.                                                                  
//+------------------------------------------------------------------+
void fmx_mean(double &xmean[], double fmx[][])
{
  int    i;
  int    j;
  double s;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);

  ArrayResize(xmean,columns);
  if (rows > 1)
  {
    for (i = 0; i < columns; i++)
	 {
	   s = 0.0;
	   for (j = 0; j < rows; j++)
	     s += fmx[j][i];
		  xmean[i] = s/rows;
	 }
  }
  else
  {
    for (i = 0; i < columns; i++)
	   xmean[i] = fmx[0][i];
  }
}

//+------------------------------------------------------------------+
//| Set elements of 'vec' to 'value'.                                                                  
//+------------------------------------------------------------------+
void fvec_set(double &vec[], int len, double value)
{
  int i;
  ArrayResize(vec,len);  
  for (i = 0; i < len; i++)
    vec[i] = value;
}

//+------------------------------------------------------------------+
//|  Return standard deviations of columns in 'fmx'.
//+------------------------------------------------------------------+
void fmx_std(double  &std[], double fmx[][])
{
  int    i;
  int    j;
  double  xmean;
  double s;
  int rows = ArrayRange(fmx,0);
  int columns = ArrayRange(fmx,1);
  
  ArrayResize(std,columns);
  if (rows > 1)
  {  
    for (i = 0; i < columns; i++)
    {
	      s = 0.0;
	      for (j = 0; j < rows; j++)
		s += fmx[j][i];
	      xmean = s/rows;
	      s = 0.0;
	      for (j = 0; j < rows; j++)
		s += (fmx[j][i]-xmean)*(fmx[j][i]-xmean);
	      std[i] = MathSqrt(s/(rows-1));
    }
  }  
  else
   fvec_set(std, columns, 0.0);
}

//+------------------------------------------------------------------+
//| 1-normalize TRAIN lines from std and mean calculated from TRAIN lines
//| 1-normalize TEST lines from std and mean calculated from TEST lines
//| ..................................................................
//| 2-normalize TRAIN lines from std and mean calculated from TRAIN lines  
//| 2-normalize TEST lines from std and mean calculated from TRAIN lines    
//| ..................................................................
//| 3-normalize TRAIN lines from range and midrange calculated from TRAIN lines   
//| 3-normalize TEST lines from range and midrange calculated from TEST lines 
//| ..................................................................
//| 4-normalize TEST lines from range and midrange calculated from TRAIN lines                                                          
//+------------------------------------------------------------------+
void svm_normalize_sample(
								double &svm_samples_attrib[][],							
								int normalize
							 )
{

  double xmean[];   
  double std[];  
  double xrange[];  
  double xmidrange[];  

  
  if(normalize==1 || normalize==2)
  { //normalize TRAIN lines from std and mean calculated from TRAIN lines
    fmx_mean(xmean,svm_samples_attrib);
    fmx_std(std,svm_samples_attrib);
    fmx_prenorm(svm_samples_attrib,xmean, std);
  } 
  else if(normalize==3)
  { //normalize TRAIN lines from range and midrange calculated from TRAIN lines
    fmx_range(xrange,svm_samples_attrib);
    fmx_midrange(xmidrange,svm_samples_attrib);       
    fmx_prenorm_range(svm_samples_attrib,xrange, xmidrange);
  }

}

//+------------------------------------------------------------------+
//| 1-normalize TEST lines from std and mean calculated from TEST lines
//| 2-normalize TEST lines from std and mean calculated from TRAIN lines     
//| 3-normalize TEST lines from range and midrange calculated from TEST lines
//| 4-normalize TEST lines from range and midrange calculated from TRAIN lines                                                             
//+------------------------------------------------------------------+
void svm_normalize_test(
	                     double svm_samples_attrib[][],
								double &svm_test_attrib[][],								
								int normalize
							)		
							
{

  if(normalize==1)
  {  //normalize TEST lines from std and mean calculated from TEST lines
    double xmean2[]; 
    fmx_mean(xmean2,svm_test_attrib);
    double std2[];
    fmx_std(std2,svm_test_attrib);
    fmx_prenorm(svm_test_attrib,xmean2, std2);
  }                 
  else if(normalize==2)
  { //normalize TEST lines from std and mean calculated from TRAIN lines
    double xmean1[];
    fmx_mean(xmean1,svm_samples_attrib);
    double std1[];
    fmx_std(std1,svm_samples_attrib);
    fmx_prenorm(svm_test_attrib, xmean1, std1);
  }
  else if(normalize==3)
  { //normalize TEST lines from range and midrange calculated from TEST lines
    double xrange2[];
    fmx_range(xrange2,svm_test_attrib);
    double xmidrange2[];
    fmx_midrange(xmidrange2,svm_test_attrib);   
    fmx_prenorm_range(svm_test_attrib, xrange2, xmidrange2);
  }
  else if(normalize==4)
  { //normalize TEST lines from range and midrange calculated from TRAIN lines
    double xrange1[];
    fmx_range(xrange1,svm_samples_attrib);
    double xmidrange1[];
    fmx_midrange(xmidrange1,svm_samples_attrib);                                       
    fmx_prenorm_range(svm_test_attrib, xrange1, xmidrange1);
  }
  
}

Similar scripts

MatrixInd_2

This indicator implements multi-dimensional matrix normalization techniques to standardize price data across multiple assets for Support Vector Machine (SVM) compatibility.

MatrixInd_1

The code implements a multi-dimensional data normalization engine designed to standardize training and testing matrices using Z-score (mean/standard deviation) or Min-Max range scaling techniques for Support Vector Machine compatibility.

Matrix4

A multi-modal data transformation engine that performs standardized normalization and range scaling on multidimensional matrices for machine learning preparation.

Matrix2

This script performs multi-dimensional matrix normalization using Z-score standard deviation or midrange range scaling to prepare raw numerical data for Support Vector Machine (SVM) inputs.

AttribInd_4e

AttribInd_3e_1

AttribInd_3e

AttribInd_2e

Matrix3

This script performs multi-dimensional array normalization using Z-score standardization and min-max range scaling to prepare training and testing datasets for Support Vector Machine architectures.

Comments