testChebyshev.cxx

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#include "Math/Chebyshev.h"
#include "Math/IFunction.h"
#include "Math/Functor.h"
#include "Math/SpecFunc.h"

//#include "MathCore/GSLIntegrator.h"

#include <iostream> 
#include <cmath>


typedef double ( * FP ) ( double, void * ); 

// function is a step function

double myfunc ( double x, void * /* params */) {
  //double * p = reinterpret_cast<double *>( params); 
  if (x < 0.5) 
    return 0.25; 
  else 
    return 0.75; 
}

double gamma_func( double x, void *) 
{ 
  return  ROOT::Math::tgamma(x);
}

// gamma function
class GammaFunction : public ROOT::Math::IGenFunction { 
  
public: 


  ROOT::Math::IGenFunction * Clone() const { 
    return new GammaFunction();
  }

private: 

  double DoEval ( double x) const { 
    return ROOT::Math::tgamma(x);
  }

};


int printCheb( const ROOT::Math::Chebyshev & c, double x0, double x1, FP func = 0 ) { 

  double dx = (x1-x0)/10;
  for ( double x = x0; x < x1; x+= dx ) { 

    double y = c(x); 
    double ey = c.EvalErr(x).second; 
    double y10 = c(x,10);
    double ey10 = c.EvalErr(x,10).second; 
    double fVal = 0;
    if (func) fVal = func(x,0);
    std::cout << " x = " << x << " true Val = " << fVal << " y = " << y << " +/- " << ey << "    y@10 = " << y10 << " +/- " << ey10 << std::endl; 
  }



  return 0; 
}



int main() { 


  // test with cos(x) + 1.0
  std::cout << "Test Cheb approx to step function :" << std::endl;
  ROOT::Math::Chebyshev c(myfunc, 0, 0., 1.0, 40); 
  printCheb(c, 0, 1, myfunc); 
  std::cout << "Test integral of step function :" << std::endl;
  ROOT::Math::Chebyshev *  cInteg = c.Integral();
  printCheb(*cInteg, 0., 1); 
  delete cInteg;
  

  std::cout << "Test Cheb approx to Gamma function :" << std::endl;
  GammaFunction gf;
  ROOT::Math::Chebyshev c2(gf, 1.0, 2.0, 40); 
  printCheb(c2, 1.0, 2.0,  gamma_func); 
  std::cout << "Test derivative of gammma :" << std::endl;
  ROOT::Math::Chebyshev * cDeriv = c2.Deriv();
  printCheb(*cDeriv, 1.0, 2.0); 
  delete cDeriv;


 
  return 0; 

}

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