math_Sign_Zolotarev.h

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#ifndef MATH_SIGN_ZOLOTAREV_INCLUDED
#define MATH_SIGN_ZOLOTAREV_INCLUDED

#include <cmath>
#include <cassert>

#include "defs.h"
#include "commonParameters.h"

#include "bridgeIO.h"
using Bridge::vout;


class Math_Sign_Zolotarev
{
 protected:
  Bridge::VerboseLevel m_vl;

 private:
  int                   m_Np;
  double                m_bmax;
  std::valarray<double> m_cl;
  std::valarray<double> m_bl;

 public:
  Math_Sign_Zolotarev(int Np, double bmax)
    : m_vl(CommonParameters::Vlevel()),
      m_Np(Np), m_bmax(bmax)
  {
    set_sign_parameters();
  }

  void get_sign_parameters(std::valarray<double>& cl, std::valarray<double>& bl);

  double sign(double x);

 private:

  void set_sign_parameters();

  void poly_Zolotarev(double bmax, double& UK);

  void Jacobi_elliptic(double uu, double emmc,
                       double& sn, double& cn, double& dn);
};
#endif