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#include "statistics.h"

#include "Mat2x2f.h"
#include "Mat3x3f.h"
#include "Mat4x4f.h"

using namespace std;

namespace CGLA
{
  template<class VT, class MT>
  VT covariance(const vector<VT>& vec, MT& C_out)
  {
    VT m = mean(vec);
    int n = vec.size();

    MT C(0);
    for(int i=0;i<n;++i)
      {
        MT B;
        VT v = vec[i]-m;
        outer_product(v,v,B);

        C += B;
      }
    C_out = C;

    return m;
  }

  template 
  Vec2f covariance<Vec2f,Mat2x2f>(const vector<Vec2f>& vec, Mat2x2f& C_out);

  template 
  Vec3f covariance<Vec3f,Mat3x3f>(const vector<Vec3f>& vec, Mat3x3f& C_out);

  template 
  Vec4f covariance<Vec4f,Mat4x4f>(const vector<Vec4f>& vec, Mat4x4f& C_out);
}