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41 results

TreeUtils.h

Blame
  • functionSpace.h 3.29 KiB
    // Gmsh - Copyright (C) 1997-2009 C. Geuzaine, J.-F. Remacle
    //
    // See the LICENSE.txt file for license information. Please report all
    // bugs and problems to <gmsh@geuz.org>.
    
    #ifndef _FUNCTION_SPACE_H_
    #define _FUNCTION_SPACE_H_
    
    #include <math.h>
    #include <map>
    #include "fullMatrix.h"
    
    struct functionSpace 
    {
      fullMatrix<double> points;
      fullMatrix<double> monomials;
      fullMatrix<double> coefficients;
      inline void evaluateMonomials(double u, double v, double w, double p[]) const 
      {
        for (int j = 0; j < monomials.size1(); j++) {
          p[j] = pow(u, (int)monomials(j, 0));
          if (monomials.size2() > 1) p[j] *= pow(v, (int)monomials(j, 1));
          if (monomials.size2() > 2) p[j] *= pow(w, (int)monomials(j, 2));
        }
      }
      inline void f(double u, double v, double w, double *sf) const
      {
        double p[256];
        evaluateMonomials(u, v, w, p);
        for (int i = 0; i < coefficients.size1(); i++) {
          sf[i] = 0;
          for (int j = 0; j < coefficients.size2(); j++) {
            sf[i] += coefficients(i, j) * p[j];
          }
        }
      }
      inline void df(double u, double v, double w, double grads[][3]) const
      {
        switch (monomials.size2()) {
        case 1:
          for (int i = 0; i < coefficients.size1(); i++){
            grads[i][0] = 0;
            grads[i][1] = 0;
            grads[i][2] = 0;
            for(int j = 0; j < coefficients.size2(); j++){
              if ((monomials)(j, 0) > 0)
                grads[i][0] += (coefficients)(i, j) * 
                  pow(u, (monomials)(j, 0) - 1) * (monomials)(j, 0);
            }
          }
          break;
        case 2:
          for (int i = 0; i < coefficients.size1(); i++){
            grads[i][0] = 0;
            grads[i][1] = 0;
            grads[i][2] = 0;
            for(int j = 0; j < coefficients.size2(); j++){
              if ((monomials)(j, 0) > 0)
                grads[i][0] += (coefficients)(i, j) *
                  pow(u, (monomials)(j, 0) - 1) * (monomials)(j, 0) *
                  pow(v, (monomials)(j, 1));
              if ((monomials)(j, 1) > 0)
                grads[i][1] += (coefficients)(i, j) *
                  pow(u, (monomials)(j, 0)) *
                  pow(v, (monomials)(j, 1) - 1) * (monomials)(j, 1);
            }
          }
          break;
        case 3:
          for (int i = 0; i < coefficients.size1(); i++){
            grads[i][0] = 0;
            grads[i][1] = 0;
            grads[i][2] = 0;
            for(int j = 0; j < coefficients.size2(); j++){
              if ((monomials)(j, 0) > 0)
                grads[i][0] += (coefficients)(i, j) *
                  pow(u, (monomials)(j, 0) - 1) * (monomials)(j, 0) *
                  pow(v, (monomials)(j, 1)) *
                  pow(w, (monomials)(j, 2));
              if ((monomials)(j, 1) > 0)
                grads[i][1] += (coefficients)(i, j) *
                  pow(u, (monomials)(j, 0)) *
                  pow(v, (monomials)(j, 1) - 1) * (monomials)(j, 1) *
                  pow(w, (monomials)(j, 2));
              if ((monomials)(j, 2) > 0)
                grads[i][2] += (coefficients)(i, j) *
                  pow(u, (monomials)(j, 0)) *
                  pow(v, (monomials)(j, 1)) *
                  pow(w, (monomials)(j, 2) - 1) * (monomials)(j, 2);
            }
          }
          break;
        }
      }
    };
    
    class functionSpaces 
    {
     private:
      static std::map<int, functionSpace> fs;
      static std::map<std::pair<int, int>, fullMatrix<double> > injector;
     public :
      static const functionSpace &find(int);
      static const fullMatrix<double> &findInjector(int, int);
    };
    
    #endif