magfieldparam::poly2d_base Class Reference

#include <poly2d_base.h>

Inheritance diagram for magfieldparam::poly2d_base:

Public Member Functions
void	Collect ()
void	Compress ()
void	DecPow (int nvar)
void	Diff (int nvar)
double	Eval ()
double	GetVal ()
double	GetVal (const double r, const double z)
void	IncPow (int nvar)
void	Int (int nvar)
bool	IsOn ()
bool	IsRZSet ()
	poly2d_base ()
	poly2d_base (const poly2d_base &S)
void	Print (std::ostream &out=std::cout, const std::streamsize prec=5)
void	Scale (const double C)
virtual	~poly2d_base ()

Static Public Member Functions
static unsigned	Count ()
static int	GetMaxPow ()
static void	IncNPwr (const unsigned N)
static void	PrintTab (std::ostream &out=std::cout, const std::streamsize prec=5)
static void	SetPoint (const double r, const double z)

Static Protected Member Functions
static void	AdjustTab ()
static void	FillTable (const double r, const double z)
static void	SetTabSize (const unsigned N)

Protected Attributes
std::vector< poly2d_term >	data
unsigned	max_pwr

Static Protected Attributes
static const double	MIN_COEFF = DBL_EPSILON
static unsigned	NPwr = 0
static unsigned	NTab = 0
static std::set< poly2d_base * >	poly2d_base_set
static double	rval = 0.
static double **	rz_pow = 0
static bool	rz_set = false
static double	zval = 0.

Detailed Description

Definition at line 44 of file poly2d_base.h.

Constructor & Destructor Documentation

magfieldparam::poly2d_base::poly2d_base ( )

inline

Definition at line 79 of file poly2d_base.h.

References max_pwr, and poly2d_base_set.

                 {
      max_pwr = 0;
      poly2d_base_set.insert(this);
   }

magfieldparam::poly2d_base::poly2d_base ( const poly2d_base &  S )

inline

Definition at line 83 of file poly2d_base.h.

References data, max_pwr, and poly2d_base_set.

                                     {
      data    = S.data;
      max_pwr = S.max_pwr;
      poly2d_base_set.insert(this);
   }

poly2d_base::~poly2d_base ( )

virtual

Definition at line 49 of file poly2d_base.cc.

References GetMaxPow(), max_pwr, NPwr, NTab, poly2d_base_set, rz_pow, rz_set, and zval.

{
   poly2d_base_set.erase(poly2d_base_set.find(this));
   if(poly2d_base_set.size()) { //some objects left
      if (max_pwr >= NPwr) NPwr = GetMaxPow();
   } else {
      if (rz_pow) {
         delete [] rz_pow[0]; //deleting the last instance -> memory cleanup
         delete [] rz_pow;
      }
      rz_pow = 0;
      rval = zval = 0.;
      NPwr = 0;
      NTab = 0;
      rz_set = false;
//      poly2d_base_set.resize(0);
   }
}

Member Function Documentation

void poly2d_base::AdjustTab ( )

staticprotected

Definition at line 115 of file poly2d_base.cc.

References GetMaxPow(), NPwr, NTab, and SetTabSize().

{
   NPwr = GetMaxPow();
   if (NPwr >= NTab) SetTabSize(NPwr+1);
}

void poly2d_base::Collect

(

)

Definition at line 166 of file poly2d_base.cc.

References funct::C, data, max_pwr, MIN_COEFF, and np.

Referenced by Compress(), magfieldparam::rz_harm_poly::LadderDwn(), and magfieldparam::rz_harm_poly::LadderUp().

{
   if (!(data.size())) return;

   unsigned j1, j2, rpow, zpow, noff = 0, jend = data.size();
   double C;
   std::vector<bool> mask(jend, false);
   max_pwr = 0;

   for (j1 = 0; j1 < jend; ++j1) {
      if (mask[j1]) continue;
      C = data[j1].coeff;
      rpow = data[j1].np[0];
      zpow = data[j1].np[1];
      for (j2 = j1+1; j2 < jend; ++j2) {
         if (mask[j2]) continue;
         if ((rpow == data[j2].np[0]) && (zpow == data[j2].np[1])) {
            C += data[j2].coeff;
            mask[j2] = true;
            ++noff;
         }
      }
      if (fabs(C) > MIN_COEFF) {
         data[j1].coeff = C;
         if ((rpow = rpow+zpow) > max_pwr) max_pwr = rpow;
      } else {
         mask[j1] = true;
         ++noff;
      }
   }
   std::vector<poly2d_term> newdata; newdata.reserve(jend - noff);
   for (j1 = 0; j1 < jend; ++j1) {
      if (!(mask[j1])) newdata.push_back(data[j1]);
   }
   data.swap(newdata);
}

void magfieldparam::poly2d_base::Compress ( )

inline

Definition at line 95 of file poly2d_base.h.

References Collect().

{ Collect();}

static unsigned magfieldparam::poly2d_base::Count ( )

inlinestatic

Definition at line 74 of file poly2d_base.h.

References poly2d_base_set.

Referenced by magfieldparam::rz_harm_poly::ParentCount(), and SetPoint().

{ return poly2d_base_set.size();}

void poly2d_base::DecPow

(

int

nvar

)

Definition at line 272 of file poly2d_base.cc.

References magfieldparam::poly2d_term::coeff, data, GetMaxPow(), max_pwr, magfieldparam::poly2d_term::np, and NPwr.

Referenced by magfieldparam::rz_harm_poly::GetDecPow().

{
//Divide the polynomial by variable# nvar. Remove terms with zero coefficients
//and also terms where the initial power of nvar is equal zero
//
   poly2d_term  v3;
   std::vector<poly2d_term> newdata;
   newdata.reserve(data.size());
   unsigned cur_pwr = 0, maxp = 0, oldp = max_pwr;
   for (unsigned it = 0; it < data.size(); ++it) {
      v3 = data[it];
      if ((v3.coeff != 0.) && (v3.np[nvar] > 0)) {
         --v3.np[nvar];
         newdata.push_back(v3);
         if ((cur_pwr = v3.np[0] + v3.np[1]) > maxp) maxp = cur_pwr;
      }
   }
   newdata.resize(newdata.size());
   max_pwr = maxp;
   data.swap(newdata);
   if (oldp >= NPwr) NPwr = GetMaxPow();
}

void poly2d_base::Diff

(

int

nvar

)

Definition at line 222 of file poly2d_base.cc.

References magfieldparam::poly2d_term::coeff, data, GetMaxPow(), max_pwr, magfieldparam::poly2d_term::np, and NPwr.

Referenced by magfieldparam::rz_harm_poly::GetDiff().

{
//differentiate the polynomial by variable nvar.
//
   poly2d_term  v3;
   std::vector<poly2d_term> newdata;
   newdata.reserve(data.size());
   unsigned cur_pwr = 0, maxp = 0, oldp = max_pwr;
   for (unsigned it = 0; it < data.size(); ++it) {
      v3 = data[it];
      v3.coeff *= v3.np[nvar];
      if (v3.coeff != 0.) {
         --v3.np[nvar];
         newdata.push_back(v3);
         if ((cur_pwr = v3.np[0] + v3.np[1]) > maxp) maxp = cur_pwr;
      }
   }
   newdata.resize(newdata.size());
   max_pwr = maxp;
   data.swap(newdata);
   if (oldp >= NPwr) NPwr = GetMaxPow();
}

double poly2d_base::Eval

(

)

Definition at line 157 of file poly2d_base.cc.

References data, j, np, rz_pow, and S().

Referenced by magfieldparam::HarmBasis3DCyl::EvalBphi(), magfieldparam::HarmBasis3DCyl::EvalRZ(), and GetVal().

{
   double S = 0.;
   for (unsigned j = 0; j < data.size(); ++j)
      S += data[j].coeff*rz_pow[data[j].np[0]][data[j].np[1]];
   return S;
}

void poly2d_base::FillTable ( const double  r, const double  z  )

staticprotected

Definition at line 89 of file poly2d_base.cc.

References NPwr, and rz_pow.

Referenced by SetPoint().

{
   if (!rz_pow) return;
   unsigned jr, jz;
   for (jz = 1; jz <= NPwr; ++jz) rz_pow[0][jz] = z*rz_pow[0][jz-1];
   for (jr = 1; jr <= NPwr; ++jr) {
      for (jz = 0; jz <= (NPwr - jr); ++jz) {
         rz_pow[jr][jz] = r*rz_pow[jr-1][jz];
      }
   }
}

int poly2d_base::GetMaxPow ( )

static

Definition at line 102 of file poly2d_base.cc.

References poly2d_base_set.

Referenced by AdjustTab(), DecPow(), Diff(), IncPow(), Int(), and ~poly2d_base().

{
   int curp, maxp = 0;
   std::set<poly2d_base*>::iterator it;

   for (it = poly2d_base_set.begin(); it != poly2d_base_set.end(); ++it) {
      curp = (*it)->max_pwr;
      if (curp > maxp) maxp = curp;
   }
   return maxp;
}

double magfieldparam::poly2d_base::GetVal ( )

inline

Definition at line 106 of file poly2d_base.h.

References Eval(), and rz_set.

{if (rz_set) return Eval(); else return 0.;}

double magfieldparam::poly2d_base::GetVal ( const double  r, const double  z  )

inline

Definition at line 107 of file poly2d_base.h.

References Eval(), and SetPoint().

{ SetPoint(r,z); return Eval();}

static void magfieldparam::poly2d_base::IncNPwr ( const unsigned  N )

inlinestatic

Definition at line 72 of file poly2d_base.h.

References N, and NPwr.

Referenced by magfieldparam::HarmBasis3DCyl::HarmBasis3DCyl().

{if (N > NPwr) NPwr = N;}

void poly2d_base::IncPow

(

int

nvar

)

Definition at line 260 of file poly2d_base.cc.

References data, GetMaxPow(), max_pwr, and NPwr.

Referenced by magfieldparam::rz_harm_poly::GetIncPow().

{
//Multiply the polynomial by variable# nvar
//
   for (unsigned it = 0; it < data.size(); ++it) {
      ++data[it].np[nvar];
   }
   ++max_pwr;
   if (max_pwr > NPwr) NPwr = GetMaxPow();
}

void poly2d_base::Int

(

int

nvar

)

Definition at line 246 of file poly2d_base.cc.

References data, GetMaxPow(), max_pwr, and NPwr.

Referenced by magfieldparam::rz_harm_poly::GetInt().

{
//Integrate the polynomial by variable# nvar. Doesn't remove terms
//with zero coefficients; if you suspect they can appear, use Compress()
//after the integration.
//
   for (unsigned it = 0; it < data.size(); ++it) {
      data[it].coeff /= ++data[it].np[nvar];
   }
   ++max_pwr;
   if (max_pwr > NPwr) NPwr = GetMaxPow();
}

bool magfieldparam::poly2d_base::IsOn ( )

inline

Definition at line 91 of file poly2d_base.h.

References data.

{ return bool(data.size());}

bool magfieldparam::poly2d_base::IsRZSet ( )

inline

Definition at line 92 of file poly2d_base.h.

References rz_set.

{ return rz_set;}

void poly2d_base::Print	(	std::ostream &	out = std::cout,
		const std::streamsize	prec = 5
	)

Definition at line 204 of file poly2d_base.cc.

References data, and max_pwr.

Referenced by magfieldparam::rz_harm_poly::Print().

{
   if (!data.size()) {
      out << "\"poly2d_base\" object contains no terms." << std::endl;
      return;
   }
   out << data.size() << " terms; max. degree = " << max_pwr << ":" << std::endl;
   std::streamsize old_prec = out.precision();
   out.precision(prec);
   data[0].Print(out);
   for (unsigned it = 1; it < data.size(); ++it) {
         data[it].Print(out, false);
   }
   out << std::endl;
   out.precision(old_prec);
}

void poly2d_base::PrintTab ( std::ostream &  out = std::cout, const std::streamsize  prec = 5  )

static

Definition at line 122 of file poly2d_base.cc.

References NPwr, NTab, and rz_pow.

{
   out << "poly2d_base table size NTab = " << NTab
       << "\tmax. power NPwr = " << NPwr << std::endl;
   if (rz_pow) {
      if (NPwr < NTab) {
         std::streamsize old_prec = out.precision(), wdt = prec+7; 
         out.precision(prec);
         out << "Table content:" << std::endl;
         unsigned jr, jz;
         for (jr = 0; jr <= NPwr; ++jr) {
            for (jz = 0; jz <= (NPwr-jr); ++jz) {
               out << std::setw(wdt) << std::left << rz_pow[jr][jz];
            }
            out << "|" << std::endl;
         }
         out.precision(old_prec);
      } else {
         out << "\tTable size is not adjusted." << std::endl;
      }
   } else {
      out << "\tTable is not allocated." << std::endl;
   }
}

void poly2d_base::Scale

(

const double

C

)

Definition at line 296 of file poly2d_base.cc.

References funct::C, and data.

Referenced by magfieldparam::rz_harm_poly::LadderDwn(), and magfieldparam::rz_harm_poly::LadderUp().

{
//Multiply the polynomial by a constant.
//
   if (C != 0.) {
      for (unsigned it = 0; it < data.size(); ++it) {
         data[it].coeff *= C;
      }
   } else data.resize(0);
}

void poly2d_base::SetPoint ( const double  r, const double  z  )

static

Definition at line 148 of file poly2d_base.cc.

References Count(), FillTable(), NPwr, NTab, rz_set, SetTabSize(), and zval.

Referenced by GetVal(), and magfieldparam::rz_harm_poly::SetPoint().

{
   if (!Count()) return;
   if (NPwr >= NTab) { SetTabSize(NPwr+1); FillTable(r, z);}
   else if ((r != rval) || (z != zval)) FillTable(r, z);
   rz_set = true;
}

void poly2d_base::SetTabSize ( const unsigned  N )

staticprotected

Definition at line 69 of file poly2d_base.cc.

References N, NTab, rz_pow, and zval.

Referenced by AdjustTab(), and SetPoint().

{
   if (N <= NTab) return;
   if (rz_pow) {
      delete [] rz_pow[0];
      delete [] rz_pow;
   }
   rz_pow    = new double* [N];
   unsigned jr, dN = N*(N+1)/2;
   rz_pow[0] = new double  [dN];
   memset(rz_pow[0], 0, dN*sizeof(double));
   rz_pow[0][0] = 1.;
   for (jr = 1, dN = N; jr < N; ++jr, --dN) {
      rz_pow[jr] = rz_pow[jr-1] + dN;
   }
   rval = zval = 0.;
   NTab = N;
}

Member Data Documentation

std::vector<poly2d_term> magfieldparam::poly2d_base::data

protected

Definition at line 68 of file poly2d_base.h.

Referenced by cuy.FindIssue::__init__(), data_sources.node::__str__(), data_sources.json_list::as_dicts(), data_sources.json_list::as_table(), Collect(), DecPow(), Diff(), Eval(), IncPow(), Int(), IsOn(), magfieldparam::rz_harm_poly::LadderDwn(), magfieldparam::rz_harm_poly::LadderUp(), data_sources.json_list::last(), poly2d_base(), Print(), magfieldparam::rz_harm_poly::rz_harm_poly(), and Scale().

unsigned magfieldparam::poly2d_base::max_pwr

protected

Definition at line 69 of file poly2d_base.h.

Referenced by Collect(), DecPow(), Diff(), IncPow(), Int(), poly2d_base(), Print(), magfieldparam::rz_harm_poly::rz_harm_poly(), and ~poly2d_base().

const double poly2d_base::MIN_COEFF = DBL_EPSILON

staticprotected

Definition at line 57 of file poly2d_base.h.

Referenced by Collect().

unsigned poly2d_base::NPwr = 0

staticprotected

Definition at line 54 of file poly2d_base.h.

Referenced by AdjustTab(), DecPow(), Diff(), FillTable(), IncNPwr(), IncPow(), Int(), PrintTab(), magfieldparam::rz_harm_poly::rz_harm_poly(), SetPoint(), and ~poly2d_base().

unsigned poly2d_base::NTab = 0

staticprotected

Definition at line 53 of file poly2d_base.h.

Referenced by AdjustTab(), PrintTab(), SetPoint(), SetTabSize(), and ~poly2d_base().

std::set< poly2d_base * > poly2d_base::poly2d_base_set

staticprotected

Definition at line 59 of file poly2d_base.h.

Referenced by Count(), magfieldparam::rz_harm_poly::GetMaxM(), GetMaxPow(), poly2d_base(), magfieldparam::rz_harm_poly::rz_harm_poly(), and ~poly2d_base().

double poly2d_base::rval = 0.

staticprotected

Definition at line 49 of file poly2d_base.h.

double ** poly2d_base::rz_pow = 0

staticprotected

Definition at line 52 of file poly2d_base.h.

Referenced by Eval(), FillTable(), PrintTab(), SetTabSize(), and ~poly2d_base().

bool poly2d_base::rz_set = false

staticprotected

Definition at line 55 of file poly2d_base.h.

Referenced by GetVal(), IsRZSet(), magfieldparam::rz_harm_poly::rz_harm_poly(), SetPoint(), and ~poly2d_base().

double poly2d_base::zval = 0.

staticprotected

Definition at line 50 of file poly2d_base.h.

Referenced by SetPoint(), SetTabSize(), and ~poly2d_base().