ffc_l2proj_05.h

利用C

  }

  // Return the geometric dimension of the coordinates this dof map provides
  virtual unsigned int geometric_dimension() const
  {
    return 3;
  }

  /// 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];
    dofs[3] = c.entity_indices[0][3];
    unsigned int offset = m.num_entities[0];
    dofs[4] = offset + c.entity_indices[1][0];
    dofs[5] = offset + c.entity_indices[1][1];
    dofs[6] = offset + c.entity_indices[1][2];
    dofs[7] = offset + c.entity_indices[1][3];
    dofs[8] = offset + c.entity_indices[1][4];
    dofs[9] = offset + c.entity_indices[1][5];
  }

  /// 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] = 4;
      dofs[4] = 5;
      dofs[5] = 6;
      break;
    case 1:
      dofs[0] = 0;
      dofs[1] = 2;
      dofs[2] = 3;
      dofs[3] = 4;
      dofs[4] = 7;
      dofs[5] = 8;
      break;
    case 2:
      dofs[0] = 0;
      dofs[1] = 1;
      dofs[2] = 3;
      dofs[3] = 5;
      dofs[4] = 7;
      dofs[5] = 9;
      break;
    case 3:
      dofs[0] = 0;
      dofs[1] = 1;
      dofs[2] = 2;
      dofs[3] = 6;
      dofs[4] = 8;
      dofs[5] = 9;
      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[0][2] = x[0][2];
    coordinates[1][0] = x[1][0];
    coordinates[1][1] = x[1][1];
    coordinates[1][2] = x[1][2];
    coordinates[2][0] = x[2][0];
    coordinates[2][1] = x[2][1];
    coordinates[2][2] = x[2][2];
    coordinates[3][0] = x[3][0];
    coordinates[3][1] = x[3][1];
    coordinates[3][2] = x[3][2];
    coordinates[4][0] = 0.5*x[2][0] + 0.5*x[3][0];
    coordinates[4][1] = 0.5*x[2][1] + 0.5*x[3][1];
    coordinates[4][2] = 0.5*x[2][2] + 0.5*x[3][2];
    coordinates[5][0] = 0.5*x[1][0] + 0.5*x[3][0];
    coordinates[5][1] = 0.5*x[1][1] + 0.5*x[3][1];
    coordinates[5][2] = 0.5*x[1][2] + 0.5*x[3][2];
    coordinates[6][0] = 0.5*x[1][0] + 0.5*x[2][0];
    coordinates[6][1] = 0.5*x[1][1] + 0.5*x[2][1];
    coordinates[6][2] = 0.5*x[1][2] + 0.5*x[2][2];
    coordinates[7][0] = 0.5*x[0][0] + 0.5*x[3][0];
    coordinates[7][1] = 0.5*x[0][1] + 0.5*x[3][1];
    coordinates[7][2] = 0.5*x[0][2] + 0.5*x[3][2];
    coordinates[8][0] = 0.5*x[0][0] + 0.5*x[2][0];
    coordinates[8][1] = 0.5*x[0][1] + 0.5*x[2][1];
    coordinates[8][2] = 0.5*x[0][2] + 0.5*x[2][2];
    coordinates[9][0] = 0.5*x[0][0] + 0.5*x[1][0];
    coordinates[9][1] = 0.5*x[0][1] + 0.5*x[1][1];
    coordinates[9][2] = 0.5*x[0][2] + 0.5*x[1][2];
  }

  /// 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_05LinearForm_dof_map_1();
  }

};

/// 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_05LinearForm_cell_integral_0: public ufc::cell_integral
{
public:

  /// Constructor
  UFC_ffc_L2proj_05LinearForm_cell_integral_0() : ufc::cell_integral()
  {
    // Do nothing
  }

  /// Destructor
  virtual ~UFC_ffc_L2proj_05LinearForm_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_02 = x[3][0] - x[0][0];
    const double J_10 = x[1][1] - x[0][1];
    const double J_11 = x[2][1] - x[0][1];
    const double J_12 = x[3][1] - x[0][1];
    const double J_20 = x[1][2] - x[0][2];
    const double J_21 = x[2][2] - x[0][2];
    const double J_22 = x[3][2] - x[0][2];
      
    // Compute sub determinants
    const double d_00 = J_11*J_22 - J_12*J_21;
    
    const double d_10 = J_02*J_21 - J_01*J_22;
    
    const double d_20 = J_01*J_12 - J_02*J_11;
      
    // Compute determinant of Jacobian
    double detJ = J_00*d_00 + J_10*d_10 + J_20*d_20;
      
    // Compute inverse of Jacobian
    
    // Set scale factor
    const double det = std::abs(detJ);
    
    // Compute coefficients
    const double c0_0_0_0 = w[0][0];
    const double c0_0_0_1 = w[0][1];
    const double c0_0_0_2 = w[0][2];
    const double c0_0_0_3 = w[0][3];
    const double c0_0_0_4 = w[0][4];
    const double c0_0_0_5 = w[0][5];
    const double c0_0_0_6 = w[0][6];
    const double c0_0_0_7 = w[0][7];
    const double c0_0_0_8 = w[0][8];
    const double c0_0_0_9 = w[0][9];
    
    // Compute geometry tensors
    const double G0_0 = det*c0_0_0_0;
    const double G0_1 = det*c0_0_0_1;
    const double G0_2 = det*c0_0_0_2;
    const double G0_3 = det*c0_0_0_3;
    const double G0_4 = det*c0_0_0_4;
    const double G0_5 = det*c0_0_0_5;
    const double G0_6 = det*c0_0_0_6;
    const double G0_7 = det*c0_0_0_7;
    const double G0_8 = det*c0_0_0_8;
    const double G0_9 = det*c0_0_0_9;
    
    // Compute element tensor
    A[0] = 0.00238095238095237*G0_0 + 0.000396825396825395*G0_1 + 0.000396825396825396*G0_2 + 0.000396825396825396*G0_3 - 0.00238095238095238*G0_4 - 0.00238095238095238*G0_5 - 0.00238095238095238*G0_6 - 0.00158730158730158*G0_7 - 0.00158730158730158*G0_8 - 0.00158730158730158*G0_9;
    A[1] = 0.000396825396825395*G0_0 + 0.00238095238095238*G0_1 + 0.000396825396825396*G0_2 + 0.000396825396825396*G0_3 - 0.00238095238095237*G0_4 - 0.00158730158730158*G0_5 - 0.00158730158730158*G0_6 - 0.00238095238095238*G0_7 - 0.00238095238095237*G0_8 - 0.00158730158730158*G0_9;
    A[2] = 0.000396825396825396*G0_0 + 0.000396825396825396*G0_1 + 0.00238095238095238*G0_2 + 0.000396825396825398*G0_3 - 0.00158730158730159*G0_4 - 0.00238095238095238*G0_5 - 0.00158730158730159*G0_6 - 0.00238095238095238*G0_7 - 0.00158730158730159*G0_8 - 0.00238095238095238*G0_9;
    A[3] = 0.000396825396825396*G0_0 + 0.000396825396825396*G0_1 + 0.000396825396825398*G0_2 + 0.00238095238095238*G0_3 - 0.00158730158730159*G0_4 - 0.00158730158730159*G0_5 - 0.00238095238095238*G0_6 - 0.00158730158730159*G0_7 - 0.00238095238095238*G0_8 - 0.00238095238095238*G0_9;
    A[4] = -0.00238095238095237*G0_0 - 0.00238095238095237*G0_1 - 0.00158730158730159*G0_2 - 0.00158730158730159*G0_3 + 0.0126984126984127*G0_4 + 0.00634920634920634*G0_5 + 0.00634920634920635*G0_6 + 0.00634920634920634*G0_7 + 0.00634920634920634*G0_8 + 0.00317460317460317*G0_9;
    A[5] = -0.00238095238095238*G0_0 - 0.00158730158730158*G0_1 - 0.00238095238095238*G0_2 - 0.00158730158730159*G0_3 + 0.00634920634920634*G0_4 + 0.0126984126984127*G0_5 + 0.00634920634920635*G0_6 + 0.00634920634920634*G0_7 + 0.00317460317460317*G0_8 + 0.00634920634920634*G0_9;
    A[6] = -0.00238095238095238*G0_0 - 0.00158730158730158*G0_1 - 0.00158730158730159*G0_2 - 0.00238095238095238*G0_3 + 0.00634920634920635*G0_4 + 0.00634920634920635*G0_5 + 0.0126984126984127*G0_6 + 0.00317460317460317*G0_7 + 0.00634920634920634*G0_8 + 0.00634920634920634*G0_9;
    A[7] = -0.00158730158730158*G0_0 - 0.00238095238095238*G0_1 - 0.00238095238095238*G0_2 - 0.00158730158730159*G0_3 + 0.00634920634920634*G0_4 + 0.00634920634920634*G0_5 + 0.00317460317460317*G0_6 + 0.0126984126984127*G0_7 + 0.00634920634920634*G0_8 + 0.00634920634920634*G0_9;
    A[8] = -0.00158730158730158*G0_0 - 0.00238095238095237*G0_1 - 0.00158730158730159*G0_2 - 0.00238095238095238*G0_3 + 0.00634920634920634*G0_4 + 0.00317460317460317*G0_5 + 0.00634920634920634*G0_6 + 0.00634920634920634*G0_7 + 0.0126984126984127*G0_8 + 0.00634920634920634*G0_9;
    A[9] = -0.00158730158730158*G0_0 - 0.00158730158730158*G0_1 - 0.00238095238095238*G0_2 - 0.00238095238095238*G0_3 + 0.00317460317460317*G0_4 + 0.00634920634920634*G0_5 + 0.00634920634920634*G0_6 + 0.00634920634920634*G0_7 + 0.00634920634920634*G0_8 + 0.0126984126984127*G0_9;
  }

};

/// This class defines the interface for the assembly of the global
/// tensor corresponding to a form with r + n arguments, that is, a
/// mapping
///
///     a : V1 x V2 x ... Vr x W1 x W2 x ... x Wn -> R
///
/// with arguments v1, v2, ..., vr, w1, w2, ..., wn. The rank r
/// global tensor A is defined by
///
///     A = a(V1, V2, ..., Vr, w1, w2, ..., wn),
///
/// where each argument Vj represents the application to the
/// sequence of basis functions of Vj and w1, w2, ..., wn are given
/// fixed functions (coefficients).

class UFC_ffc_L2proj_05LinearForm: public ufc::form
{
public:

  /// Constructor
  UFC_ffc_L2proj_05LinearForm() : ufc::form()
  {
    // Do nothing
  }

  /// Destructor
  virtual ~UFC_ffc_L2proj_05LinearForm()
  {
    // Do nothing
  }

  /// Return a string identifying the form
  virtual const char* signature() const
  {
    return "w0_a0[0, 1, 2, 3, 4, 5, 6, 7, 8, 9] | va0[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]*vi0[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]*dX(0)";
  }

  /// Return the rank of the global tensor (r)
  virtual unsigned int rank() const
  {
    return 1;
  }

  /// Return the number of coefficients (n)
  virtual unsigned int num_coefficients() const
  {
    return 1;
  }

  /// Return the number of cell integrals
  virtual unsigned int num_cell_integrals() const
  {
    return 1;
  }
  
  /// Return the number of exterior facet integrals
  virtual unsigned int num_exterior_facet_integrals() const
  {
    return 0;
  }
  
  /// Return the number of interior facet integrals
  virtual unsigned int num_interior_facet_integrals() const
  {
    return 0;
  }
    
  /// Create a new finite element for argument function i
  virtual ufc::finite_element* create_finite_element(unsigned int i) const
  {
    switch ( i )
    {
    case 0:
      return new UFC_ffc_L2proj_05LinearForm_finite_element_0();
      break;
    case 1:
      return new UFC_ffc_L2proj_05LinearForm_finite_element_1();
      break;
    }
    return 0;
  }
  
  /// Create a new dof map for argument function i
  virtual ufc::dof_map* create_dof_map(unsigned int i) const
  {
    switch ( i )
    {
    case 0:
      return new UFC_ffc_L2proj_05LinearForm_dof_map_0();
      break;
    case 1:
      return new UFC_ffc_L2proj_05LinearForm_dof_map_1();
      break;
    }
    return 0;
  }

  /// Create a new cell integral on sub domain i
  virtual ufc::cell_integral* create_cell_integral(unsigned int i) const
  {
    return new UFC_ffc_L2proj_05LinearForm_cell_integral_0();
  }

  /// Create a new exterior facet integral on sub domain i
  virtual ufc::exterior_facet_integral* create_exterior_facet_integral(unsigned int i) const
  {
    return 0;
  }

  /// Create a new interior facet integral on sub domain i
  virtual ufc::interior_facet_integral* create_interior_facet_integral(unsigned int i) const
  {
    return 0;
  }

};

// DOLFIN wrappers

#include <dolfin/fem/Form.h>

class ffc_L2proj_05BilinearForm : public dolfin::Form
{
public:

  ffc_L2proj_05BilinearForm() : dolfin::Form()
  {
    // Do nothing
  }

  /// Return UFC form
  virtual const ufc::form& form() const
  {
    return __form;
  }
  
  /// Return array of coefficients
  virtual const dolfin::Array<dolfin::Function*>& coefficients() const
  {
    return __coefficients;
  }

private:

  // UFC form
  UFC_ffc_L2proj_05BilinearForm __form;

  /// Array of coefficients
  dolfin::Array<dolfin::Function*> __coefficients;

};

class ffc_L2proj_05LinearForm : public dolfin::Form
{
public:

  ffc_L2proj_05LinearForm(dolfin::Function& w0) : dolfin::Form()
  {
    __coefficients.push_back(&w0);
  }

  /// Return UFC form
  virtual const ufc::form& form() const
  {
    return __form;
  }
  
  /// Return array of coefficients
  virtual const dolfin::Array<dolfin::Function*>& coefficients() const
  {
    return __coefficients;
  }

private:

  // UFC form
  UFC_ffc_L2proj_05LinearForm __form;

  /// Array of coefficients
  dolfin::Array<dolfin::Function*> __coefficients;

};

#endif