interpol.h 9.92 KB
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/**********************************************************************************
 * Copyright 2010 Christoph Pflaum 
 * 		Department Informatik Lehrstuhl 10 - Systemsimulation
 *		Friedrich-Alexander Universität Erlangen-Nürnberg
 * 
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 **********************************************************************************/

// ------------------------------------------------------------
//
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// variable.h
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//
// ------------------------------------------------------------

#ifndef INTERPOL_H
#define INTERPOL_H

/////////////////////////////////////////////////////////////
// 1. Interpolate from  blockgrid to rectangular blockgrid
// 2. Interpolate from  blockgrid  to  blockgrid
/////////////////////////////////////////////////////////////


/////////////////////////////////////////////////////////////
// 1. Interpolate from  blockgrid to rectangular blockgrid
/////////////////////////////////////////////////////////////


/*
data structure on structured grid
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ny    *  *  *  *  *  *
ny-1  *  +  +  +  +  *
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3     *  +  +  +  +  *
2     *  +  +  +  +  *
1     *  +  +  +  +  *
0     *  *  *  *  *  *
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      0  1  2  3 nx-1 nx
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*/



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/***
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 * interpolates data from blockgrid_ to rectangular block [pWSD, pENT]
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***/
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class Interpolate_on_structured_grid {
 public:
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/***
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 * preparation for interpolation
 @param  nx_ number of structured grid points x-direction
 @param  ny_ number of structured grid points y-direction
 @param  nz_ number of structured grid points z-direction
 @param  pWSD Corner WSD of structured grid
 @param  pENT Corner WSD of structured grid
 @param  blockgrid_ of unstructured grid
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***/
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  Interpolate_on_structured_grid(int nx_, int ny_, int nz_,
				 D3vector pWSD, D3vector pENT,
				 Blockgrid& blockgrid_);
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  Interpolate_on_structured_grid(int nx_, int ny_, int nz_,
				 Blockgrid& blockgrid_);
/***
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 * interpolates from Variable u(of unstructured blockgrid) to structured data
 @param  u:  Variable on unstructured blockgrid
 @param  data: pointer to structured grid data i+nx*(j+ny*k)
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***/
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  template <class DTyp>
    void interpolate(Variable<DTyp>& u, DTyp* data, DTyp defaultInterpolation);
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  public:
  int nx, ny, nz;
  D3vector pENT,pWSD;
  private:
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  int* ids_hex;
  int *ids_i, *ids_j, *ids_k;
  int *typ_tet;

  D3vector *lambda;

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  double hx, hy, hz;

  Blockgrid*        blockgrid;
  Unstructured_grid*       ug;
};

template <class DTyp>
class Give_corner_data_of_cube {
 public:
  Give_corner_data_of_cube(Variable<DTyp>& u_, int hex_, int i_, int j_, int k_);
  
  DTyp WSD() { return u->template Give_data<hexahedronEl>(id, i,   j,   k,   Nx, Ny); }
  DTyp ESD() { return u->template Give_data<hexahedronEl>(id, i+1, j,   k,   Nx, Ny); }
  DTyp WND() { return u->template Give_data<hexahedronEl>(id, i,   j+1, k,   Nx, Ny); }
  DTyp END() { return u->template Give_data<hexahedronEl>(id, i+1, j+1, k,   Nx, Ny); }
  DTyp WST() { return u->template Give_data<hexahedronEl>(id, i,   j,   k+1, Nx, Ny); }
  DTyp EST() { return u->template Give_data<hexahedronEl>(id, i+1, j,   k+1, Nx, Ny); }
  DTyp WNT() { return u->template Give_data<hexahedronEl>(id, i,   j+1, k+1, Nx, Ny); }
  DTyp ENT() { return u->template Give_data<hexahedronEl>(id, i+1, j+1, k+1, Nx, Ny); }

 private:
  int id, i, j, k;
  int Nx, Ny;
  Variable<DTyp>* u;
};

template <class DTyp>
Give_corner_data_of_cube<DTyp>::Give_corner_data_of_cube(Variable<DTyp>& u_,
							 int hex_, int i_, int j_, int k_) {
  Blockgrid*        blockgrid;

  u = &u_;
  blockgrid = u->Give_blockgrid();
  id = hex_; i = i_;  j = j_;  k = k_;
  
  Nx = blockgrid->Give_Nx_hexahedron(id);
  Ny = blockgrid->Give_Ny_hexahedron(id);
}


template <class DTyp>
void Interpolate_on_structured_grid::interpolate(Variable<DTyp>& u, DTyp* data, DTyp defaultInterpolation) {
  int i,j,k, id_hex, typ;
  int ind_global;


  for(int id=0;id<ug->Give_number_hexahedra();++id)
    u.template Update<hexahedronEl>(id);

  for(int ks = 0; ks < nz;++ks)
    for(int js = 0; js < ny;++js)
      for(int is = 0; is < nx;++is) {
	ind_global = is+nx*(js+ny*ks);
	i = ids_i[ind_global];
	j = ids_j[ind_global];
	k = ids_k[ind_global];
	id_hex = ids_hex[ind_global];

	/*
	// test : das geht nicht::
	if(id_hex < 0) {
	  ind_global = is+nx*((ny-1-js)+ny*ks);
	  i = ids_i[ind_global];
	  j = ids_j[ind_global];
	  k = ids_k[ind_global];
	  id_hex = ids_hex[ind_global];
	}
*/		
	if(id_hex < 0) data[ind_global] = defaultInterpolation;
	else {
	  Give_corner_data_of_cube<DTyp> du(u, id_hex, i,j,k);

	  typ = typ_tet[ind_global];

	
	  /*
	  if( ind_global == 3)
	    cout << " \n ind_global: " << is + nx * (js + ny * ks)
	         << " typ: " << typ
	         << " id_hex " << id_hex
	         << " i: " << i
	         << " j: " << j
	         << " k: " << k
	         << endl;
  	  */

	  if(typ==0) data[ind_global] = interpolate_in_tet(lambda[ind_global],
							   du.WND(),du.WNT(),du.WST(),du.EST());
	  if(typ==1) data[ind_global] = interpolate_in_tet(lambda[ind_global],
							   du.EST(),du.WND(),du.WST(),du.ESD());
	  if(typ==2) data[ind_global] = interpolate_in_tet(lambda[ind_global],
							   du.WND(),du.WSD(),du.WST(),du.ESD());
	  if(typ==3) data[ind_global] = interpolate_in_tet(lambda[ind_global],
							   du.EST(),du.WND(),du.ESD(),du.END());
	  if(typ==4) data[ind_global] = interpolate_in_tet(lambda[ind_global],
							   du.ENT(),du.WNT(),du.EST(),du.END());
	  if(typ==5) data[ind_global] = interpolate_in_tet(lambda[ind_global],
							   du.WNT(),du.WND(),du.EST(),du.END());
	}
      }
}

/////////////////////////////////////////////////////////////
// 2. Interpolate from  blockgrid  to  blockgrid
/////////////////////////////////////////////////////////////

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/***
 * interpolates data from blockgrid_from to blockgrid_to_ using an internal rectangular grid if size nx,ny,nz
***/
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class Interpolate_on_block_grid {
 public:
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/***
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 * preparation for interpolation
 @param  nx_ number of structured grid points x-direction
 @param  ny_ number of structured grid points y-direction
 @param  nz_ number of structured grid points z-direction
 @param  blockgrid_ of unstructured grid
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***/
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  Interpolate_on_block_grid(int nx_, int ny_, int nz_,
		            Blockgrid* blockgrid_from, Blockgrid* blockgrid_to_);
  ~Interpolate_on_block_grid();
  
  /**
   * interpoliert Daten. Falls an einem Punkt nicht interpoliert werden kann
   * da U_from keine Zelle hat, dann wird
   *     defaultInterpolation
   * verwendet.
   ***/ 
  void interpolate(Variable<double>* U_from, Variable<double>* U_to, double defaultInterpolation = 0.0);
    		
  double evaluate(double coord_x, double coord_y, double coord_z);
		  
private:
  int nx, ny, nz;
  double hx, hy, hz;
  Interpolate_on_structured_grid* interpolatorStructured;
  double* data;
  Blockgrid* blockgrid_to;
  
  D3vector pWSD;
  D3vector pENT;
  
};

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/////////////////////////////////////////////////////////////
// 3. Interpolate from Variable on a blockgrid to any point using structured intermediate grid  
/////////////////////////////////////////////////////////////

/*
class Intermadiate_grid_for_PointInterpolator : public Interpolate_on_structured_grid
{
public:
  Intermadiate_grid_for_PointInterpolator(int nx_, int ny_, int nz_, Variable<double>* U_from);
  int nx, ny, nz;
  Interpolate_on_structured_grid* interpolatorStructured(int nx_, int ny_, int nz_,D3vector pWSD, D3vector pENT,
		                                          Variable<double>* U_from);  
  
  D3vector pWSD;
  D3vector pENT;
};

 * interpolates data from blockgrid_from to blockgrid_to_ using an internal rectangular grid if size nx,ny,nz
***/
class PointInterpolator {
  friend Interpolate_on_structured_grid;
 public:
/***
 * preparation for interpolation
 @param  nx_ number of structured grid points x-direction
 @param  ny_ number of structured grid points y-direction
 @param  nz_ number of structured grid points z-direction
 @param  blockgrid_ of unstructured grid
***/
  PointInterpolator(int nx_, int ny_, int nz_,
		    Variable<double>* U_from, double defaultInterpolation_ = 0.0);
  
  PointInterpolator(int nx_, int ny_, int nz_,
	            D3vector pWSD, D3vector pENT,
		    Variable<double>* U_from, double defaultInterpolation_ = 0.0);  
  
  PointInterpolator(Interpolate_on_structured_grid* intermediateGrid,
		    Variable<double>* U_from, double defaultInterpolation_ = 0.0);  
  




  /**
   * Calculates an intermediate Grid for above constructor
   */
  Interpolate_on_structured_grid* intermediateGrid;  

  
  ~PointInterpolator();
  
  
  
  /**
   * interpoliert Daten. Falls an einem Punkt nicht interpoliert werden kann
   * da U_from keine Zelle hat, dann wird
   *     defaultInterpolation
   * verwendet.
   * @param coord_x, coord_y, coord_z, Koordinaten des Punktes
   * @return interpolierter Wert
   ***/
  double evaluate(double coord_x, double coord_y, double coord_z);
  std::vector<double> evaluateGradient(double coord_x, double coord_y, double coord_z);
  void smoothGrid();
		 

  void writeOnInterpolatedGrid(double coord_x, double coord_y, double coord_z, double value);
  void subtractOnInterpolatedGrid(double coord_x, double coord_y, double coord_z, double value);
  void shiftInterpolatedGrid(double coord_x, double coord_y, double coord_z);
  void scaleInterpolatedData(double scale, double zeroVal = 0.0);

  void QPrint_VTK(QString DateiName);
  
private:
  int nx, ny, nz;
  double hx, hy, hz;
  double shiftx, shifty, shiftz;
  Interpolate_on_structured_grid* interpolatorStructured;
  double* data;
  
  D3vector pWSD;
  D3vector pENT;
  
  double defaultInterpolation;
  
};

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#endif // INTERPOL_H