poly2d_base.cc

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#include "poly2d_base.h"

using namespace magfieldparam;

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

//_______________________________________________________________________________
void poly2d_term::Print(std::ostream &out, bool first_term)
{
   if (first_term) out << coeff;
   else if (coeff > 0.) out << " + " << coeff;
        else out << " - " << -coeff;
   if (np[0] != 0) {
      out << "*r";
      if (np[0] != 1) out << "^" << np[0];
   }
   if (np[1] != 0) {
      out << "*z";
      if (np[1] != 1) out << "^" << np[1];
   }
}

//                                                                             //
//  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.                           //
//                                                                             //

//_______________________________________________________________________________
double     poly2d_base::rval   = 0.; //Last values of r and z used
double     poly2d_base::zval   = 0.;

double   **poly2d_base::rz_pow = nullptr;  //table with calculated r^n*z^m values
unsigned   poly2d_base::NTab   = 0;  //rz_pow table size
unsigned   poly2d_base::NPwr   = 0;  //max power in use by CLASS

bool       poly2d_base::rz_set = false;

const double poly2d_base::MIN_COEFF = DBL_EPSILON; //Thresh. for coeff == 0
std::set<poly2d_base*> poly2d_base::poly2d_base_set;

//_______________________________________________________________________________
poly2d_base::~poly2d_base()
{
   poly2d_base_set.erase(poly2d_base_set.find(this));
   if(!poly2d_base_set.empty()) { //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 = nullptr;
      rval = zval = 0.;
      NPwr = 0;
      NTab = 0;
      rz_set = false;
//      poly2d_base_set.resize(0);
   }
}

//_______________________________________________________________________________
void poly2d_base::SetTabSize(const unsigned N)
{
   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;
}

//_______________________________________________________________________________
void poly2d_base::FillTable(const double r, const double z)
{
   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()
{
   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;
}

//_______________________________________________________________________________
void poly2d_base::AdjustTab()
{
   NPwr = GetMaxPow();
   if (NPwr >= NTab) SetTabSize(NPwr+1);
}

//_______________________________________________________________________________
void poly2d_base::PrintTab(std::ostream &out, const std::streamsize prec)
{
   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::SetPoint(const double r, const double z)
{
   if (!Count()) return;
   if (NPwr >= NTab) { SetTabSize(NPwr+1); FillTable(r, z);}
   else if ((r != rval) || (z != zval)) FillTable(r, z);
   rz_set = true;
}

//_______________________________________________________________________________
double poly2d_base::Eval()
{
   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::Collect()
{
   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 poly2d_base::Print(std::ostream &out, const std::streamsize prec)
{
   if (data.empty()) {
      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::Diff(int nvar)
{
//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();
}

//_______________________________________________________________________________
void poly2d_base::Int(int nvar)
{
//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();
}

//_______________________________________________________________________________
void poly2d_base::IncPow(int nvar)
{
//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::DecPow(int nvar)
{
//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::Scale(const double C)
{
//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);
}