magfieldparam::HarmBasis3DCyl Class Reference

#include <HarmBasis3DCyl.h>

Public Member Functions
void	EvalBphi ()
void	EvalBr ()
void	EvalBz ()
void	EvalPtn ()
double	GetBphi (double *coeff)
double	GetBphi_k (const unsigned k)
double	GetBr (double *coeff)
double	GetBr_k (const unsigned k)
double	GetBz (double *coeff)
double	GetBz_k (const unsigned k)
unsigned	GetDim ()
unsigned	GetLen ()
void	GetLM (const unsigned j, int &Lj, int &Mj)
double	GetPtn (double *coeff)
double	GetPtn_k (const unsigned k)
	HarmBasis3DCyl (const unsigned N=18)
void	Print (std::ostream &out=std::cout)
void	PrintBphiB (std::ostream &out=std::cout)
void	PrintBrB (std::ostream &out=std::cout)
void	PrintBzB (std::ostream &out=std::cout)
void	PrintPtB (std::ostream &out=std::cout)
void	SetPoint (const double r, const double z, const double phi)
virtual	~HarmBasis3DCyl ()

Private Member Functions
void	EvalRZ (harm_poly_arr &B, double *val)
double	GetVal (double *coeff, double *basis)
void	Print (harm_poly_arr &B, std::ostream &out=std::cout)

Private Attributes
double *	Bphi_k
harm_poly_arr	BphiB
double *	Br_k
harm_poly_arr	BrB
double *	Bz_k
harm_poly_arr	BzB
unsigned	Dim
int *	L_k
unsigned	Len
int *	M_k
double *	P_k
harm_poly_arr	PtB

Detailed Description

Definition at line 17 of file HarmBasis3DCyl.h.

Constructor & Destructor Documentation

HarmBasis3DCyl::HarmBasis3DCyl

(

const unsigned

N = 18

)

Definition at line 13 of file HarmBasis3DCyl.cc.

References Bphi_k, BphiB, Br_k, BrB, Bz_k, BzB, Dim, magfieldparam::poly2d_base::IncNPwr(), gen::k, dttmaxenums::L, L_k, Len, M_k, N, P_k, and PtB.

{
//Construct a basis of dimension N
//
   Dim = N;
   Len = N*(N+2);
   
   L_k = new int [Len];
   M_k = new int [Len];
   
   P_k    = new double [Len];
   Br_k   = new double [Len];
   Bz_k   = new double [Len];
   Bphi_k = new double [Len];
   
   PtB.reserve(N);
   BrB.reserve(N);
   BzB.reserve(N);
   BphiB.reserve(N);
   
   rz_harm_poly::IncNPwr(N); //In order to prevent GetMaxPow() calls
   unsigned M, vLen, k = 0;
   for (unsigned L = 1; L <= N; ++L) {
      vLen = L+1;
      harm_poly_vec Pt_vec;   Pt_vec.reserve(vLen);
      harm_poly_vec Br_vec;   Br_vec.reserve(vLen);
      harm_poly_vec Bz_vec;   Bz_vec.reserve(vLen);
      harm_poly_vec Bphi_vec; Bphi_vec.reserve(vLen);

      Pt_vec.push_back  (rz_harm_poly(L));
      Br_vec.push_back  (Pt_vec[0].GetDiff(0));
      Bz_vec.push_back  (Pt_vec[0].GetDiff(1));
      Bphi_vec.push_back(rz_harm_poly());
      Bphi_vec[0].CheatL(L);
      
      L_k[k] = L; M_k[k] = 0; ++k;

      for (M = 1; M <= L; ++M) {
         Pt_vec.push_back  (Pt_vec[M-1].LadderUp());
         Br_vec.push_back  (Pt_vec[M].GetDiff(0));
         Bz_vec.push_back  (Pt_vec[M].GetDiff(1));
         Bphi_vec.push_back(Pt_vec[M].GetDecPow(0));
         Bphi_vec[M].Scale(M);
         L_k[k] = L; M_k[k] =  M; ++k;
         L_k[k] = L; M_k[k] = -M; ++k;
      }
      PtB.push_back  (Pt_vec);
      BrB.push_back  (Br_vec);
      BzB.push_back  (Bz_vec);
      BphiB.push_back(Bphi_vec);
   }
}

HarmBasis3DCyl::~HarmBasis3DCyl ( )

virtual

Definition at line 67 of file HarmBasis3DCyl.cc.

References Bphi_k, Br_k, Bz_k, L_k, M_k, and P_k.

{
   delete [] Bphi_k;
   delete [] Bz_k;
   delete [] Br_k;
   delete [] P_k;
   delete [] M_k;
   delete [] L_k;
}

Member Function Documentation

void HarmBasis3DCyl::EvalBphi

(

)

Definition at line 98 of file HarmBasis3DCyl.cc.

References Bphi_k, BphiB, Dim, magfieldparam::poly2d_base::Eval(), magfieldparam::rz_harm_poly::GetCos(), magfieldparam::rz_harm_poly::GetSin(), gen::k, dttmaxenums::L, and P.

Referenced by magfieldparam::BFit3D::GetField().

{
//Fills the array Bphi_k[Len] with values of phi-basis polynomials.
//
   unsigned M;
   double   V;
   double  *val = Bphi_k;
   rz_harm_poly *P;
   for (unsigned L = 1, k = 0; L <= Dim; ++L, ++k) {
      (*val) = 0.; ++val;
      for (M = 1; M <= L; ++M) {
         P = &(BphiB[k][M]);
         V = P->Eval();
         (*val) = -V*P->GetSin(); ++val;
         (*val) =  V*P->GetCos(); ++val;
      }
   }
}

void magfieldparam::HarmBasis3DCyl::EvalBr ( )

inline

Definition at line 51 of file HarmBasis3DCyl.h.

References Br_k, BrB, and EvalRZ().

Referenced by magfieldparam::BFit3D::GetField().

{ EvalRZ(BrB, Br_k);}

void magfieldparam::HarmBasis3DCyl::EvalBz ( )

inline

Definition at line 52 of file HarmBasis3DCyl.h.

References Bz_k, BzB, and EvalRZ().

Referenced by magfieldparam::BFit3D::GetField().

{ EvalRZ(BzB, Bz_k);}

void magfieldparam::HarmBasis3DCyl::EvalPtn ( )

inline

Definition at line 50 of file HarmBasis3DCyl.h.

References EvalRZ(), P_k, and PtB.

{ EvalRZ(PtB, P_k);}

void HarmBasis3DCyl::EvalRZ ( harm_poly_arr &  B, double *  val  )

private

Definition at line 78 of file HarmBasis3DCyl.cc.

References Dim, magfieldparam::poly2d_base::Eval(), magfieldparam::rz_harm_poly::GetCos(), magfieldparam::rz_harm_poly::GetSin(), gen::k, dttmaxenums::L, and P.

Referenced by EvalBr(), EvalBz(), and EvalPtn().

{
//Fills the linear array val[Len] with values of basis polynomials.
//Private function, intended for internal use only.
//
   unsigned M;
   double   V;
   rz_harm_poly *P;
   for (unsigned L = 1, k = 0; L <= Dim; ++L, ++k) {
      (*val) = B[k][0].Eval(); ++val;
      for (M = 1; M <= L; ++M) {
         P = &(B[k][M]);
         V = P->Eval();
         (*val) = V*P->GetCos(); ++val;
         (*val) = V*P->GetSin(); ++val;
      }
   }
}

double magfieldparam::HarmBasis3DCyl::GetBphi ( double *  coeff )

inline

Definition at line 68 of file HarmBasis3DCyl.h.

References Bphi_k, and GetVal().

Referenced by magfieldparam::BFit3D::GetField().

{ return GetVal(coeff, Bphi_k);}

double magfieldparam::HarmBasis3DCyl::GetBphi_k ( const unsigned  k )

inline

Definition at line 60 of file HarmBasis3DCyl.h.

References Bphi_k, and gen::k.

Referenced by magfieldparam::BFit3D::GetBphi_k().

{ return Bphi_k[k];}

double magfieldparam::HarmBasis3DCyl::GetBr ( double *  coeff )

inline

Definition at line 66 of file HarmBasis3DCyl.h.

References Br_k, and GetVal().

Referenced by magfieldparam::BFit3D::GetField().

{ return GetVal(coeff, Br_k);}

double magfieldparam::HarmBasis3DCyl::GetBr_k ( const unsigned  k )

inline

Definition at line 58 of file HarmBasis3DCyl.h.

References Br_k, and gen::k.

Referenced by magfieldparam::BFit3D::GetBr_k().

{ return Br_k[k];}

double magfieldparam::HarmBasis3DCyl::GetBz ( double *  coeff )

inline

Definition at line 67 of file HarmBasis3DCyl.h.

References Bz_k, and GetVal().

Referenced by magfieldparam::BFit3D::GetField().

{ return GetVal(coeff, Bz_k);}

double magfieldparam::HarmBasis3DCyl::GetBz_k ( const unsigned  k )

inline

Definition at line 59 of file HarmBasis3DCyl.h.

References Bz_k, and gen::k.

Referenced by magfieldparam::BFit3D::GetBz_k().

{ return Bz_k[k];}

unsigned magfieldparam::HarmBasis3DCyl::GetDim ( )

inline

Definition at line 40 of file HarmBasis3DCyl.h.

References Dim.

{ return Dim;}

unsigned magfieldparam::HarmBasis3DCyl::GetLen ( )

inline

Definition at line 41 of file HarmBasis3DCyl.h.

References Len.

Referenced by magfieldparam::BFit3D::GetLen().

{ return Len;}

void magfieldparam::HarmBasis3DCyl::GetLM ( const unsigned  j, int &  Lj, int &  Mj  )

inline

Definition at line 42 of file HarmBasis3DCyl.h.

References j, L_k, and M_k.

{ Lj = L_k[j]; Mj = M_k[j];}

double magfieldparam::HarmBasis3DCyl::GetPtn ( double *  coeff )

inline

Definition at line 65 of file HarmBasis3DCyl.h.

References GetVal(), and P_k.

{ return GetVal(coeff, P_k);}

double magfieldparam::HarmBasis3DCyl::GetPtn_k ( const unsigned  k )

inline

Definition at line 57 of file HarmBasis3DCyl.h.

References gen::k, and P_k.

{ return P_k[k];}

double HarmBasis3DCyl::GetVal ( double *  coeff, double *  basis  )

private

Definition at line 118 of file HarmBasis3DCyl.cc.

References gen::k, Len, and S().

Referenced by GetBphi(), GetBr(), GetBz(), and GetPtn().

{
//return value of the expansion with coefficients coeff[Len] for the basis
//Private function, intended for internal use only.
//
   double S = 0.;
   for (unsigned k = 0; k < Len; ++k) S += coeff[k]*basis[k];
   return S;
}

void HarmBasis3DCyl::Print ( harm_poly_arr &  B, std::ostream &  out = std::cout  )

private

Definition at line 129 of file HarmBasis3DCyl.cc.

Referenced by PrintBphiB(), PrintBrB(), PrintBzB(), magfieldparam::BFit3D::PrintPoly(), and PrintPtB().

{
   unsigned jL, jM, wdt = 60;
   char fc1 = '-', fc0 = out.fill(fc1);
   for (jL = 0; jL < B.size(); ++jL) {
      out << std::setw(wdt) << fc1 << std::endl;
      out << "Basis subset " << jL+1 << std::endl;
      out << std::setw(wdt) << fc1 << std::endl;
      for (jM = 0; jM < B[jL].size(); ++jM) {
         B[jL][jM].Print(out);
      }
   }
   out.fill(fc0);
}

void HarmBasis3DCyl::Print

(

std::ostream &

out = std::cout

)

Definition at line 145 of file HarmBasis3DCyl.cc.

References PrintBphiB(), PrintBrB(), PrintBzB(), and PrintPtB().

{
   out << "BASIS POLYNOMIALS FOR THE POTENTIAL:\n" << std::endl;
   PrintPtB(out);
   out << "\nBASIS POLYNOMIALS FOR R-COMPONENT   OF THE FIELD:\n" << std::endl;
   PrintBrB(out);
   out << "\nBASIS POLYNOMIALS FOR Z-COMPONENT   OF THE FIELD:\n" << std::endl;
   PrintBzB(out);
   out << "\nBASIS POLYNOMIALS FOR PHI-COMPONENT OF THE FIELD:\n" << std::endl;
   PrintBphiB(out);
}

void magfieldparam::HarmBasis3DCyl::PrintBphiB ( std::ostream &  out = std::cout )

inline

Definition at line 73 of file HarmBasis3DCyl.h.

References BphiB, dbtoconf::out, and Print().

Referenced by Print(), and magfieldparam::BFit3D::PrintBphiPoly().

{ Print(BphiB, out);}

void magfieldparam::HarmBasis3DCyl::PrintBrB ( std::ostream &  out = std::cout )

inline

Definition at line 71 of file HarmBasis3DCyl.h.

References BrB, dbtoconf::out, and Print().

Referenced by Print(), and magfieldparam::BFit3D::PrintBrPoly().

{ Print(BrB,   out);}

void magfieldparam::HarmBasis3DCyl::PrintBzB ( std::ostream &  out = std::cout )

inline

Definition at line 72 of file HarmBasis3DCyl.h.

References BzB, dbtoconf::out, and Print().

Referenced by Print(), and magfieldparam::BFit3D::PrintBzPoly().

{ Print(BzB,   out);}

void magfieldparam::HarmBasis3DCyl::PrintPtB ( std::ostream &  out = std::cout )

inline

Definition at line 70 of file HarmBasis3DCyl.h.

References dbtoconf::out, Print(), and PtB.

Referenced by Print(), and magfieldparam::BFit3D::PrintPtnPoly().

{ Print(PtB,   out);}

void magfieldparam::HarmBasis3DCyl::SetPoint ( const double  r, const double  z, const double  phi  )

inline

Definition at line 45 of file HarmBasis3DCyl.h.

References magfieldparam::rz_harm_poly::SetPoint().

Referenced by magfieldparam::BFit3D::GetField().

   { rz_harm_poly::SetPoint(r, z, phi);}

Member Data Documentation

double * magfieldparam::HarmBasis3DCyl::Bphi_k

private

Definition at line 24 of file HarmBasis3DCyl.h.

Referenced by EvalBphi(), GetBphi(), GetBphi_k(), HarmBasis3DCyl(), and ~HarmBasis3DCyl().

harm_poly_arr magfieldparam::HarmBasis3DCyl::BphiB

private

Definition at line 29 of file HarmBasis3DCyl.h.

Referenced by EvalBphi(), HarmBasis3DCyl(), and PrintBphiB().

double * magfieldparam::HarmBasis3DCyl::Br_k

private

Definition at line 24 of file HarmBasis3DCyl.h.

Referenced by EvalBr(), GetBr(), GetBr_k(), HarmBasis3DCyl(), and ~HarmBasis3DCyl().

harm_poly_arr magfieldparam::HarmBasis3DCyl::BrB

private

Definition at line 27 of file HarmBasis3DCyl.h.

Referenced by EvalBr(), HarmBasis3DCyl(), and PrintBrB().

double * magfieldparam::HarmBasis3DCyl::Bz_k

private

Definition at line 24 of file HarmBasis3DCyl.h.

Referenced by EvalBz(), GetBz(), GetBz_k(), HarmBasis3DCyl(), and ~HarmBasis3DCyl().

harm_poly_arr magfieldparam::HarmBasis3DCyl::BzB

private

Definition at line 28 of file HarmBasis3DCyl.h.

Referenced by EvalBz(), HarmBasis3DCyl(), and PrintBzB().

unsigned magfieldparam::HarmBasis3DCyl::Dim

private

Definition at line 20 of file HarmBasis3DCyl.h.

Referenced by EvalBphi(), EvalRZ(), GetDim(), and HarmBasis3DCyl().

int* magfieldparam::HarmBasis3DCyl::L_k

private

Definition at line 23 of file HarmBasis3DCyl.h.

Referenced by GetLM(), HarmBasis3DCyl(), and ~HarmBasis3DCyl().

unsigned magfieldparam::HarmBasis3DCyl::Len

private

Definition at line 21 of file HarmBasis3DCyl.h.

Referenced by GetLen(), GetVal(), and HarmBasis3DCyl().

int * magfieldparam::HarmBasis3DCyl::M_k

private

Definition at line 23 of file HarmBasis3DCyl.h.

Referenced by GetLM(), HarmBasis3DCyl(), and ~HarmBasis3DCyl().

double* magfieldparam::HarmBasis3DCyl::P_k

private

Definition at line 24 of file HarmBasis3DCyl.h.

Referenced by EvalPtn(), GetPtn(), GetPtn_k(), HarmBasis3DCyl(), and ~HarmBasis3DCyl().

harm_poly_arr magfieldparam::HarmBasis3DCyl::PtB

private

Definition at line 26 of file HarmBasis3DCyl.h.

Referenced by EvalPtn(), HarmBasis3DCyl(), and PrintPtB().