ffc_l2proj_16.h

利用C

  /// Initialize dof map for given cell
  virtual void init_cell(const ufc::mesh& m,
                         const ufc::cell& c)
  {
    // Do nothing
  }

  /// Finish initialization of dof map for cells
  virtual void init_cell_finalize()
  {
    // Do nothing
  }

  /// Return the dimension of the global finite element function space
  virtual unsigned int global_dimension() const
  {
    return __global_dimension;
  }

  /// Return the dimension of the local finite element function space
  virtual unsigned int local_dimension() const
  {
    return 6;
  }

  // Return the geometric dimension of the coordinates this dof map provides
  virtual unsigned int geometric_dimension() const
  {
    return 2;
  }

  /// Return the number of dofs on each cell facet
  virtual unsigned int num_facet_dofs() const
  {
    return 3;
  }

  /// Return the number of dofs associated with each cell entity of dimension d
  virtual unsigned int num_entity_dofs(unsigned int d) const
  {
    throw std::runtime_error("Not implemented (introduced in UFC v1.1).");
  }

  /// Tabulate the local-to-global mapping of dofs on a cell
  virtual void tabulate_dofs(unsigned int* dofs,
                             const ufc::mesh& m,
                             const ufc::cell& c) const
  {
    dofs[0] = c.entity_indices[0][0];
    dofs[1] = c.entity_indices[0][1];
    dofs[2] = c.entity_indices[0][2];
    unsigned int offset = m.num_entities[0];
    dofs[3] = offset + c.entity_indices[1][0];
    dofs[4] = offset + c.entity_indices[1][1];
    dofs[5] = offset + c.entity_indices[1][2];
  }

  /// Tabulate the local-to-local mapping from facet dofs to cell dofs
  virtual void tabulate_facet_dofs(unsigned int* dofs,
                                   unsigned int facet) const
  {
    switch ( facet )
    {
    case 0:
      dofs[0] = 1;
      dofs[1] = 2;
      dofs[2] = 3;
      break;
    case 1:
      dofs[0] = 0;
      dofs[1] = 2;
      dofs[2] = 4;
      break;
    case 2:
      dofs[0] = 0;
      dofs[1] = 1;
      dofs[2] = 5;
      break;
    }
  }

  /// Tabulate the local-to-local mapping of dofs on entity (d, i)
  virtual void tabulate_entity_dofs(unsigned int* dofs,
                                    unsigned int d, unsigned int i) const
  {
    throw std::runtime_error("Not implemented (introduced in UFC v1.1).");
  }

  /// Tabulate the coordinates of all dofs on a cell
  virtual void tabulate_coordinates(double** coordinates,
                                    const ufc::cell& c) const
  {
    const double * const * x = c.coordinates;
    coordinates[0][0] = x[0][0];
    coordinates[0][1] = x[0][1];
    coordinates[1][0] = x[1][0];
    coordinates[1][1] = x[1][1];
    coordinates[2][0] = x[2][0];
    coordinates[2][1] = x[2][1];
    coordinates[3][0] = 0.5*x[1][0] + 0.5*x[2][0];
    coordinates[3][1] = 0.5*x[1][1] + 0.5*x[2][1];
    coordinates[4][0] = 0.5*x[0][0] + 0.5*x[2][0];
    coordinates[4][1] = 0.5*x[0][1] + 0.5*x[2][1];
    coordinates[5][0] = 0.5*x[0][0] + 0.5*x[1][0];
    coordinates[5][1] = 0.5*x[0][1] + 0.5*x[1][1];
  }

  /// Return the number of sub dof maps (for a mixed element)
  virtual unsigned int num_sub_dof_maps() const
  {
    return 1;
  }

  /// Create a new dof_map for sub dof map i (for a mixed element)
  virtual ufc::dof_map* create_sub_dof_map(unsigned int i) const
  {
    return new UFC_ffc_L2proj_16BilinearForm_dof_map_1_1();
  }

};

/// This class defines the interface for a local-to-global mapping of
/// degrees of freedom (dofs).

class UFC_ffc_L2proj_16BilinearForm_dof_map_1: public ufc::dof_map
{
private:

  unsigned int __global_dimension;

public:

  /// Constructor
  UFC_ffc_L2proj_16BilinearForm_dof_map_1() : ufc::dof_map()
  {
    __global_dimension = 0;
  }

  /// Destructor
  virtual ~UFC_ffc_L2proj_16BilinearForm_dof_map_1()
  {
    // Do nothing
  }

  /// Return a string identifying the dof map
  virtual const char* signature() const
  {
    return "FFC dof map for Mixed finite element: [Lagrange finite element of degree 2 on a triangle, Lagrange finite element of degree 2 on a triangle]";
  }

  /// Return true iff mesh entities of topological dimension d are needed
  virtual bool needs_mesh_entities(unsigned int d) const
  {
    switch ( d )
    {
    case 0:
      return true;
      break;
    case 1:
      return true;
      break;
    case 2:
      return false;
      break;
    }
    return false;
  }

  /// Initialize dof map for mesh (return true iff init_cell() is needed)
  virtual bool init_mesh(const ufc::mesh& m)
  {
    __global_dimension = 2*m.num_entities[0] + 2*m.num_entities[1];
    return false;
  }

  /// Initialize dof map for given cell
  virtual void init_cell(const ufc::mesh& m,
                         const ufc::cell& c)
  {
    // Do nothing
  }

  /// Finish initialization of dof map for cells
  virtual void init_cell_finalize()
  {
    // Do nothing
  }

  /// Return the dimension of the global finite element function space
  virtual unsigned int global_dimension() const
  {
    return __global_dimension;
  }

  /// Return the dimension of the local finite element function space
  virtual unsigned int local_dimension() const
  {
    return 12;
  }

  // Return the geometric dimension of the coordinates this dof map provides
  virtual unsigned int geometric_dimension() const
  {
    return 2;
  }

  /// Return the number of dofs on each cell facet
  virtual unsigned int num_facet_dofs() const
  {
    return 6;
  }

  /// Return the number of dofs associated with each cell entity of dimension d
  virtual unsigned int num_entity_dofs(unsigned int d) const
  {
    throw std::runtime_error("Not implemented (introduced in UFC v1.1).");
  }

  /// Tabulate the local-to-global mapping of dofs on a cell
  virtual void tabulate_dofs(unsigned int* dofs,
                             const ufc::mesh& m,
                             const ufc::cell& c) const
  {
    dofs[0] = c.entity_indices[0][0];
    dofs[1] = c.entity_indices[0][1];
    dofs[2] = c.entity_indices[0][2];
    unsigned int offset = m.num_entities[0];
    dofs[3] = offset + c.entity_indices[1][0];
    dofs[4] = offset + c.entity_indices[1][1];
    dofs[5] = offset + c.entity_indices[1][2];
    offset = offset + m.num_entities[1];
    dofs[6] = offset + c.entity_indices[0][0];
    dofs[7] = offset + c.entity_indices[0][1];
    dofs[8] = offset + c.entity_indices[0][2];
    offset = offset + m.num_entities[0];
    dofs[9] = offset + c.entity_indices[1][0];
    dofs[10] = offset + c.entity_indices[1][1];
    dofs[11] = offset + c.entity_indices[1][2];
  }

  /// Tabulate the local-to-local mapping from facet dofs to cell dofs
  virtual void tabulate_facet_dofs(unsigned int* dofs,
                                   unsigned int facet) const
  {
    switch ( facet )
    {
    case 0:
      dofs[0] = 1;
      dofs[1] = 2;
      dofs[2] = 3;
      dofs[3] = 7;
      dofs[4] = 8;
      dofs[5] = 9;
      break;
    case 1:
      dofs[0] = 0;
      dofs[1] = 2;
      dofs[2] = 4;
      dofs[3] = 6;
      dofs[4] = 8;
      dofs[5] = 10;
      break;
    case 2:
      dofs[0] = 0;
      dofs[1] = 1;
      dofs[2] = 5;
      dofs[3] = 6;
      dofs[4] = 7;
      dofs[5] = 11;
      break;
    }
  }

  /// Tabulate the local-to-local mapping of dofs on entity (d, i)
  virtual void tabulate_entity_dofs(unsigned int* dofs,
                                    unsigned int d, unsigned int i) const
  {
    throw std::runtime_error("Not implemented (introduced in UFC v1.1).");
  }

  /// Tabulate the coordinates of all dofs on a cell
  virtual void tabulate_coordinates(double** coordinates,
                                    const ufc::cell& c) const
  {
    const double * const * x = c.coordinates;
    coordinates[0][0] = x[0][0];
    coordinates[0][1] = x[0][1];
    coordinates[1][0] = x[1][0];
    coordinates[1][1] = x[1][1];
    coordinates[2][0] = x[2][0];
    coordinates[2][1] = x[2][1];
    coordinates[3][0] = 0.5*x[1][0] + 0.5*x[2][0];
    coordinates[3][1] = 0.5*x[1][1] + 0.5*x[2][1];
    coordinates[4][0] = 0.5*x[0][0] + 0.5*x[2][0];
    coordinates[4][1] = 0.5*x[0][1] + 0.5*x[2][1];
    coordinates[5][0] = 0.5*x[0][0] + 0.5*x[1][0];
    coordinates[5][1] = 0.5*x[0][1] + 0.5*x[1][1];
    coordinates[6][0] = x[0][0];
    coordinates[6][1] = x[0][1];
    coordinates[7][0] = x[1][0];
    coordinates[7][1] = x[1][1];
    coordinates[8][0] = x[2][0];
    coordinates[8][1] = x[2][1];
    coordinates[9][0] = 0.5*x[1][0] + 0.5*x[2][0];
    coordinates[9][1] = 0.5*x[1][1] + 0.5*x[2][1];
    coordinates[10][0] = 0.5*x[0][0] + 0.5*x[2][0];
    coordinates[10][1] = 0.5*x[0][1] + 0.5*x[2][1];
    coordinates[11][0] = 0.5*x[0][0] + 0.5*x[1][0];
    coordinates[11][1] = 0.5*x[0][1] + 0.5*x[1][1];
  }

  /// Return the number of sub dof maps (for a mixed element)
  virtual unsigned int num_sub_dof_maps() const
  {
    return 2;
  }

  /// Create a new dof_map for sub dof map i (for a mixed element)
  virtual ufc::dof_map* create_sub_dof_map(unsigned int i) const
  {
    switch ( i )
    {
    case 0:
      return new UFC_ffc_L2proj_16BilinearForm_dof_map_1_0();
      break;
    case 1:
      return new UFC_ffc_L2proj_16BilinearForm_dof_map_1_1();
      break;
    }
    return 0;
  }

};

/// This class defines the interface for the tabulation of the cell
/// tensor corresponding to the local contribution to a form from
/// the integral over a cell.

class UFC_ffc_L2proj_16BilinearForm_cell_integral_0: public ufc::cell_integral
{
public:

  /// Constructor
  UFC_ffc_L2proj_16BilinearForm_cell_integral_0() : ufc::cell_integral()
  {
    // Do nothing
  }

  /// Destructor
  virtual ~UFC_ffc_L2proj_16BilinearForm_cell_integral_0()
  {
    // Do nothing
  }

  /// Tabulate the tensor for the contribution from a local cell
  virtual void tabulate_tensor(double* A,
                               const double * const * w,
                               const ufc::cell& c) const
  {
    // Extract vertex coordinates
    const double * const * x = c.coordinates;
    
    // Compute Jacobian of affine map from reference cell
    const double J_00 = x[1][0] - x[0][0];
    const double J_01 = x[2][0] - x[0][0];
    const double J_10 = x[1][1] - x[0][1];
    const double J_11 = x[2][1] - x[0][1];
      
    // Compute determinant of Jacobian
    double detJ = J_00*J_11 - J_01*J_10;
      
    // Compute inverse of Jacobian
    
    // Set scale factor
    const double det = std::abs(detJ);
    
    // Compute geometry tensors
    const double G0_ = det;
    
    // Compute element tensor
    A[0] = 0.0166666666666667*G0_;
    A[1] = -0.00277777777777777*G0_;
    A[2] = -0.00277777777777778*G0_;
    A[3] = -0.0111111111111111*G0_;
    A[4] = 0;
    A[5] = 0;
    A[6] = 0;
    A[7] = 0;
    A[8] = 0;
    A[9] = 0;
    A[10] = 0;
    A[11] = 0;
    A[12] = -0.00277777777777777*G0_;
    A[13] = 0.0166666666666666*G0_;
    A[14] = -0.00277777777777777*G0_;
    A[15] = 0;
    A[16] = -0.0111111111111111*G0_;
    A[17] = 0;
    A[18] = 0;
    A[19] = 0;
    A[20] = 0;
    A[21] = 0;
    A[22] = 0;
    A[23] = 0;
    A[24] = -0.00277777777777778*G0_;
    A[25] = -0.00277777777777777*G0_;
    A[26] = 0.0166666666666666*G0_;
    A[27] = 0;
    A[28] = 0;
    A[29] = -0.0111111111111111*G0_;
    A[30] = 0;
    A[31] = 0;
    A[32] = 0;
    A[33] = 0;
    A[34] = 0;
    A[35] = 0;
    A[36] = -0.0111111111111111*G0_;
    A[37] = 0;
    A[38] = 0;
    A[39] = 0.0888888888888888*G0_;
    A[40] = 0.0444444444444444*G0_;
    A[41] = 0.0444444444444444*G0_;
    A[42] = 0;
    A[43] = 0;
    A[44] = 0;
    A[45] = 0;
    A[46] = 0;
    A[47] = 0;
    A[48] = 0;
    A[49] = -0.0111111111111111*G0_;
    A[50] = 0;
    A[51] = 0.0444444444444444*G0_;
    A[52] = 0.0888888888888888*G0_;
    A[53] = 0.0444444444444444*G0_;
    A[54] = 0;
    A[55] = 0;
    A[56] = 0;
    A[57] = 0;
    A[58] = 0;
    A[59] = 0;
    A[60] = 0;
    A[61] = 0;
    A