poly2d_base.h

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#ifndef poly2d_base_h
#define poly2d_base_h

#include <iostream>
#include <fstream>
#include <iomanip>
#include <vector>
#include <set>
#include <cstring>

#include <cmath>
#include <cfloat>  //in order to use DBL_EPSILON (1+DBL_EPSILON > 1)

//                                                                             //
//  The "poly2d_term" represent a term of a polynomial of 2 variables.         //
//                                                                             //

//_______________________________________________________________________________
namespace magfieldparam {

  struct poly2d_term {
    double coeff;    //Coefficient of the term
    unsigned np[2];  //Powers of variables

    poly2d_term() { memset(this, 0, sizeof(*this)); }
    poly2d_term(double C, unsigned nr, unsigned nz) {
      coeff = C;
      np[0] = nr;
      np[1] = nz;
    }
    void Print(std::ostream &out = std::cout, bool first_term = true);
  };

  //                                                                             //
  //  Base class that represent a polynomial of 2 variables. It isn't supposed   //
  //  to be used directly and provides no way of setting coefficients directly.  //
  //  Such methods must be defined in derived classes.                           //
  //                                                                             //

  //_______________________________________________________________________________
  class poly2d_base {  // a general polynomial of 2 variables

  protected:
    //Group of static members for the class memory management
    //----------------------------------------------------------------------------
    static double rval;  //last r-value used in calculation
    static double zval;  //last z-value used in calculation

    static double **rz_pow;  //table with calculated r^n*z^m values
    static unsigned NTab;    //rz_pow table size
    static unsigned NPwr;    //max power in use by CLASS
    static bool rz_set;

    static const double MIN_COEFF;  //Threshold for assigning a coeff. to 0

    static std::set<poly2d_base *> poly2d_base_set;  //Set of all poly2d_base objects
    //   static std::set<poly2d_base*, less<poly2d_base*> > poly2d_base_set;  //Set of all poly2d_base objects

    static void SetTabSize(const unsigned N);  //Set rz-table size
    static void FillTable(const double r, const double z);

    static void AdjustTab();
    //----------------------------------------------------------------------------

    std::vector<poly2d_term> data;  //polynomial terms
    unsigned max_pwr;               //max power in use by INSTANCE

  public:
    static void IncNPwr(const unsigned N) {
      if (N > NPwr)
        NPwr = N;
    }
    static int GetMaxPow();
    static unsigned Count() { return poly2d_base_set.size(); }
    static void PrintTab(std::ostream &out = std::cout, const std::streamsize prec = 5);

    static void SetPoint(const double r, const double z);

    poly2d_base() {
      max_pwr = 0;
      poly2d_base_set.insert(this);
    }
    poly2d_base(const poly2d_base &S) {
      data = S.data;
      max_pwr = S.max_pwr;
      poly2d_base_set.insert(this);
    }

    virtual ~poly2d_base();

    bool IsOn() { return bool(!data.empty()); }
    bool IsRZSet() { return rz_set; }

    void Collect();  //Collect terms and remove zero terms
    void Compress() { Collect(); }

    void Diff(int nvar);    //differentiate the polynomial by variable# nvar
    void Int(int nvar);     //Integrate the polynomial by variable# nvar
    void IncPow(int nvar);  //Multiply the polynomial by variable# nvar
    void DecPow(int nvar);  //Divide the polynomial by variable# nvar

    void Scale(const double C);
    //   poly2d_base& operator*=(const double C) { Scale(C); return *this;}

    double Eval();  //Evaluation with no check that rz_pow table exist
    double GetVal() {
      if (rz_set)
        return Eval();
      else
        return 0.;
    }
    double GetVal(const double r, const double z) {
      SetPoint(r, z);
      return Eval();
    }

    void Print(std::ostream &out = std::cout, const std::streamsize prec = 5);

  };  //Class poly2d_base
}  // namespace magfieldparam

#endif