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#include "Utility.hpp" | 
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#include <vector> | 
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#include <iostream> | 
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#include <math.h> | 
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using namespace std; | 
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double dotProduct(vector<double>& v1, vector<double>& v2){ | 
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  double sum; | 
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  sum = 0; | 
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  if(v1.size() != v2.size()){ | 
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    cerr << "Utility Error: dimension of two vectors are not matched" << endl; | 
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    exit(-1); | 
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  } | 
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   | 
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   for(int  i = 0; i < v1.size(); i++) | 
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     sum += v1[i]*v2[i]; | 
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   return sum; | 
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} | 
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double copysign(double sign, double value){ | 
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  double result = fabs(value); | 
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  return sign >= 0 ? result : -result; | 
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} | 
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#include "Utility.hpp" | 
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#include <vector> | 
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#include <iostream> | 
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#include <math.h> | 
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using namespace std; | 
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double dotProduct(vector<double>& v1, vector<double>& v2){ | 
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  double sum; | 
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  sum = 0; | 
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  if(v1.size() != v2.size()){ | 
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    cerr << "Utility Error: dimension of two vectors are not matched" << endl; | 
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    exit(-1); | 
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  } | 
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   | 
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   for(int  i = 0; i < v1.size(); i++) | 
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     sum += v1[i]*v2[i]; | 
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   return sum; | 
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} | 
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double norm2(vector<double>& x){ | 
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  return sqrt(dotProduct(x, x)); | 
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}        |