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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.
 **********************************************************************************/


#include "../mympi.h"
#include "../abbrevi.h"
#include "../parameter.h"
#include "../math_lib/math_lib.h"
#include "../basics/basic.h"
#include "../grid/elements.h"
#include "../grid/parti.h"
#include "../grid/ug.h"
#include "../grid/blockgrid.h"
#include "../grid/marker.h"
#include "../extemp/extemp.h"
#include "../extemp/parallel.h"
#include "../extemp/variable.h"
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#include "../mympi.h"

#include "../abbrevi.h"
#include "../parameter.h"
#include "../math_lib/math_lib.h"
#include "../math_lib/mg_array.h"
#include "../basics/basic.h"
#include "../grid/elements.h"
#include "../grid/parti.h"
#include "../grid/ug.h"
#include "../grid/examples_ug.h"
#include "../grid/blockgrid.h"
#include "../grid/marker.h"
#include "../extemp/parallel.h"
#include "../extemp/extemp.h"
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#include "../extemp/co_fu.h"
#include "../extemp/functor.h"
#include "interpol.h"

#include "assert.h"

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


bool contained_in_tet(D3vector lam) {
  if(lam.x < -0.1)                 return false;
  if(lam.y < -0.1)                 return false;
  if(lam.z < -0.1)                 return false;
  if(lam.x + lam.y + lam.z > 1.1)  return false;
  return true;
}

bool new_lam_worse(D3vector lam_old, D3vector lam_new) {
  if(MIN(lam_new) < MIN(lam_old) &&  MIN(lam_old) < -0.1) return true;
  if(MAX(lam_new) > MAX(lam_old) &&  MAX(lam_old) >  1.1) return true;
  return false;
}

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/*
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Intermadiate_grid_for_PointInterpolator::Intermadiate_grid_for_PointInterpolator(int nx_, int ny_, int nz_, Variable<double>* U_from)
{
    nx = nx_;
    ny = ny_;
    nz = nz_;
 
    if(nx<=2) nx = 3;
    if(ny<=2) ny = 3;
    if(nz<=2) nz = 3;
     
    Blockgrid* blockgrid_from = U_from->Give_blockgrid();
    
    //Variable<double> coordXYZ(*blockgrid);
    X_coordinate Xc(*blockgrid_from);
    Y_coordinate Yc(*blockgrid_from);
    Z_coordinate Zc(*blockgrid_from);
    pWSD.x = Minimum(Xc);    pWSD.y = Minimum(Yc);    pWSD.z = Minimum(Zc);
    pENT.x = Maximum(Xc);    pENT.y = Maximum(Yc);    pENT.z = Maximum(Zc);  
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    interpolatorStructured = new Interpolate_on_structured_grid(nx,ny,nz, pWSD, pENT, *blockgrid_from);
    
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}
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*/
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Interpolate_on_structured_grid::Interpolate_on_structured_grid(int nx_, int ny_, int nz_,
							       D3vector pWSD, D3vector pENT,
							       Blockgrid& blockgrid_) {
  int Nx, Ny, Nz;
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  int typ;
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  assert(nx_ > 1);
  assert(ny_ > 1);
  assert(nz_ > 1);

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  int ilmin, jlmin, klmin;
  int ilmax, jlmax, klmax;
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  double factor = 0.1;
  //  double factor = 0.00001;

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  D3vector lam;
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  blockgrid = &blockgrid_;
  ug = blockgrid->Give_unstructured_grid();

  nx = nx_;
  ny = ny_;
  nz = nz_;

  if(nx_>1)
    hx = (pENT.x - pWSD.x) / (nx_-1);
  else  
    hx = 1.0;
  if(ny_>1)
    hy = (pENT.y - pWSD.y) / (ny_-1);
  else  
    hy = 1.0;
  if(nz_>1)
    hz = (pENT.z - pWSD.z) / (nz_-1);
  else 
    hz = 1.0;

  int num_total = nx * ny * nz;

  D3vector cWSD, cESD;
  D3vector cWND, cEND;

  D3vector cWST, cEST;
  D3vector cWNT, cENT;
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  D3vector boxWSD, boxENT;

  D3vector ploc;

  ids_hex = new int[num_total];

  ids_i = new int[num_total];
  ids_j = new int[num_total];
  ids_k = new int[num_total];

  typ_tet = new int[num_total];

  lambda = new D3vector[num_total];

  for(int i=0;i<num_total;++i) ids_hex[i] = -1;

  for(int id_hex=0;id_hex<ug->Give_number_hexahedra();++id_hex) {
      Nx = blockgrid->Give_Nx_hexahedron(id_hex);
      Ny = blockgrid->Give_Ny_hexahedron(id_hex);
      Nz = blockgrid->Give_Nz_hexahedron(id_hex);

      for(int k=0;k<Nz;++k)
	for(int j=0;j<Ny;++j)
	  for(int i=0;i<Nx;++i) {
            // corner points of general hex-cell
	    cWSD = blockgrid->Give_coord_hexahedron(id_hex,i,  j,  k  );
	    cESD = blockgrid->Give_coord_hexahedron(id_hex,i+1,j  ,k  );
	    cWND = blockgrid->Give_coord_hexahedron(id_hex,i,  j+1,k  );
	    cEND = blockgrid->Give_coord_hexahedron(id_hex,i+1,j+1,k  );

	    cWST = blockgrid->Give_coord_hexahedron(id_hex,i,  j,  k+1);
	    cEST = blockgrid->Give_coord_hexahedron(id_hex,i+1,j  ,k+1);
	    cWNT = blockgrid->Give_coord_hexahedron(id_hex,i,  j+1,k+1);
	    cENT = blockgrid->Give_coord_hexahedron(id_hex,i+1,j+1,k+1);

            // bounding box calculation 
	    boxWSD.x = MIN(MIN(MIN(cWSD.x,cESD.x),MIN(cWND.x,cEND.x)),
			   MIN(MIN(cWST.x,cEST.x),MIN(cWNT.x,cENT.x))) - factor *hx;
	    boxWSD.y = MIN(MIN(MIN(cWSD.y,cESD.y),MIN(cWND.y,cEND.y)),
			   MIN(MIN(cWST.y,cEST.y),MIN(cWNT.y,cENT.y))) - factor *hy;
	    boxWSD.z = MIN(MIN(MIN(cWSD.z,cESD.z),MIN(cWND.z,cEND.z)),
			   MIN(MIN(cWST.z,cEST.z),MIN(cWNT.z,cENT.z))) - factor *hz;

	    boxENT.x = MAX(MAX(MAX(cWSD.x,cESD.x),MAX(cWND.x,cEND.x)),
			   MAX(MAX(cWST.x,cEST.x),MAX(cWNT.x,cENT.x))) + factor *hx;
	    boxENT.y = MAX(MAX(MAX(cWSD.y,cESD.y),MAX(cWND.y,cEND.y)),
			   MAX(MAX(cWST.y,cEST.y),MAX(cWNT.y,cENT.y))) + factor *hy;
	    boxENT.z = MAX(MAX(MAX(cWSD.z,cESD.z),MAX(cWND.z,cEND.z)),
			   MAX(MAX(cWST.z,cEST.z),MAX(cWNT.z,cENT.z))) + factor *hz;

	    // calculation of indices of a collection of cells of structured grid which contains bounding box
	    ilmin = Ganzzahliger_Anteil((boxWSD.x - pWSD.x) / hx);
	    jlmin = Ganzzahliger_Anteil((boxWSD.y - pWSD.y) / hy);
	    klmin = Ganzzahliger_Anteil((boxWSD.z - pWSD.z) / hz);
	    

	    ilmax = Ganzzahliger_Anteil((boxENT.x - pWSD.x) / hx);
	    jlmax = Ganzzahliger_Anteil((boxENT.y - pWSD.y) / hy);
	    klmax = Ganzzahliger_Anteil((boxENT.z - pWSD.z) / hz);

	    /*
	    cout << " indices: "
		 << " ilmin: " << ilmin 
		 << " jlmin: " << jlmin 
		 << " klmin: " << klmin 
		 << " ilmax: " << ilmax 
		 << " jlmax: " << jlmax 
		 << " klmax: " << klmax 
		 << " boxWSD.x: " << boxWSD.x
		 << " cWSD.x: " << cWSD.x
		 << " Nx: " <<  Nx
		 << endl;
	    */
	    /*	    
bool now;
if(boxWSD.z < 0 && boxENT.z > 0.0 && boxWSD.y < 0.5 && boxENT.y > 0.5 && boxWSD.x < 1.0 && boxENT.x > 1.0 ) {
  cout << "\n \n WSD   : ";  boxWSD.Print();
  cout << "\n ENT  : ";  boxENT.Print();
  now = true;
 }
 else now = false;

 
 cout << " tt: " << boxWSD.x << " " << pWSD.x << " " << hx << endl;
 cout << (boxWSD.x - pWSD.x) << endl;

 cout << " z: " << 0.1 << " g: " << Ganzzahliger_Anteil(0.1) << endl;
 cout << " z: " << -0.1 << " g: " << Ganzzahliger_Anteil(-0.1) << endl;

 cout << " z: " << 5.1 << " g: " << Ganzzahliger_Anteil(5.1) << endl;
 cout << " z: " << -5.1 << " g: " << Ganzzahliger_Anteil(-5.1) << endl;
	    */

	    if(ilmin<0) ilmin=0;
	    if(jlmin<0) jlmin=0;
	    if(klmin<0) klmin=0;

	    for(int il = ilmin; (il <= ilmax) && (il < nx_);++il)
	      for(int jl = jlmin; (jl <= jlmax) && (jl < ny_);++jl)
		for(int kl = klmin; (kl <= klmax) && (kl < nz_);++kl) {

		  ploc = D3vector(il * hx, jl * hy, kl * hz) + pWSD;

		  //		  cout << "HI" << endl;

		  typ = -1;

		  lam = lambda_of_p_in_tet(ploc,cWND,cWNT,cWST,cEST);
		  if(contained_in_tet(lam)) typ=0;
		  else {
		    lam = lambda_of_p_in_tet(ploc,cEST,cWND,cWST,cESD);
		    if(contained_in_tet(lam)) typ=1;
		    else {
		      lam = lambda_of_p_in_tet(ploc,cWND,cWSD,cWST,cESD);
		      if(contained_in_tet(lam)) typ=2;
		      else {
			lam = lambda_of_p_in_tet(ploc,cEST,cWND,cESD,cEND);
			if(contained_in_tet(lam)) typ=3;
			else {
			  lam = lambda_of_p_in_tet(ploc,cENT,cWNT,cEST,cEND);
			  if(contained_in_tet(lam)) typ=4;
			  else {
			    lam = lambda_of_p_in_tet(ploc,cWNT,cWND,cEST,cEND);
			    if(contained_in_tet(lam)) typ=5;
			  }
			}
		      }
		    }
		  }

		  /*		  
		  cout << " typ " << typ << id_hex 
		       << " il: " << il 
		       << " jl: " << jl 
		       << " kl: " << kl 
		       << endl; 
		  */

		  if(typ!=-1) {
		    int ind_global;
		    ind_global = il+nx*(jl+ny*kl);      
		    bool stop;
		    stop=false;

		    if(ids_hex[ind_global]!=-1) {
		      stop=new_lam_worse(lambda[ind_global],lam);
		    }

		    if(stop==false) {
		      ids_hex[ind_global] = id_hex;
		      ids_i[ind_global] = i;
		      ids_j[ind_global] = j;
		      ids_k[ind_global] = k;
		      
		      typ_tet[ind_global] = typ;
		      
		      lambda[ind_global] = lam;
		    }
		    //go_on = false;
		  }

		  /*
		  cout << " out "
		       << " ilmin: " << ilmin
		       << " ilmax: " << ilmax
		       << " jlmin: " << jlmin
		       << " jlmax: " << jlmax
		       << " klmin: " << klmin
		       << " klmax: " << klmax;
		  cout << "\n   "; cWSD.Print();
		  cout << "\n   "; cESD.Print();
		  cout << "\n   "; cWND.Print();
		  cout << "\n   "; cEND.Print();
		  cout << "\n   "; cWST.Print();
		  cout << "\n   "; cEST.Print();
		  cout << "\n   "; cWNT.Print();
		  cout << "\n   "; cENT.Print();
		  cout << "\n   p: "; ploc.Print();

		  cout << "\n   : ";  boxWSD.Print();
		  cout << "\n   : ";  boxENT.Print();

		  cout << endl;
		  */
		}
	  }
  }


  for(int i=0;i<num_total;++i) {
    if(ids_hex[i]==-1) {
      // wir nehmen default value!!
      /*
      cout << i 
	   << " Error: Interpolate_on_structured_grid: I cannot interpolate all data!"
	   << endl;
      ids_hex[i] = 0;
      */
    }
    else {
      //cout << i << " Interpolate_on_structured_grid: o.k.!" << endl;
    }
  }
}

Interpolate_on_structured_grid::Interpolate_on_structured_grid(int nx_, int ny_, int nz_,
							       Blockgrid& blockgrid_) {
  int Nx, Ny, Nz;
  int typ;

  
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  assert(nx_ > 1);
  assert(ny_ > 1);
  assert(nz_ > 1);

  int ilmin, jlmin, klmin;
  int ilmax, jlmax, klmax;

  double factor = 0.1;
  //  double factor = 0.00001;

  D3vector lam;

     
    
    //Variable<double> coordXYZ(*blockgrid);
    X_coordinate Xc(blockgrid_);
    Y_coordinate Yc(blockgrid_);
    Z_coordinate Zc(blockgrid_);
    //D3vector pWSD, pENT;
    pWSD.x = Minimum(Xc);    pWSD.y = Minimum(Yc);    pWSD.z = Minimum(Zc);
    pENT.x = Maximum(Xc);    pENT.y = Maximum(Yc);    pENT.z = Maximum(Zc);  
  
  blockgrid = &blockgrid_;
  ug = blockgrid->Give_unstructured_grid();

  nx = nx_;
  ny = ny_;
  nz = nz_;

  if(nx_>1)
    hx = (pENT.x - pWSD.x) / (nx_-1);
  else  
    hx = 1.0;
  if(ny_>1)
    hy = (pENT.y - pWSD.y) / (ny_-1);
  else  
    hy = 1.0;
  if(nz_>1)
    hz = (pENT.z - pWSD.z) / (nz_-1);
  else 
    hz = 1.0;
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  int num_total = nx * ny * nz;

  D3vector cWSD, cESD;
  D3vector cWND, cEND;

  D3vector cWST, cEST;
  D3vector cWNT, cENT;

  D3vector boxWSD, boxENT;

  D3vector ploc;
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  ids_hex = new int[num_total];

  ids_i = new int[num_total];
  ids_j = new int[num_total];
  ids_k = new int[num_total];

  typ_tet = new int[num_total];

  lambda = new D3vector[num_total];

  for(int i=0;i<num_total;++i) ids_hex[i] = -1;

  for(int id_hex=0;id_hex<ug->Give_number_hexahedra();++id_hex) {
      Nx = blockgrid->Give_Nx_hexahedron(id_hex);
      Ny = blockgrid->Give_Ny_hexahedron(id_hex);
      Nz = blockgrid->Give_Nz_hexahedron(id_hex);
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      for(int k=0;k<Nz;++k)
	for(int j=0;j<Ny;++j)
	  for(int i=0;i<Nx;++i) {
            // corner points of general hex-cell
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	    cWSD = blockgrid->Give_coord_hexahedron(id_hex,i,  j,  k  );
	    cESD = blockgrid->Give_coord_hexahedron(id_hex,i+1,j  ,k  );
	    cWND = blockgrid->Give_coord_hexahedron(id_hex,i,  j+1,k  );
	    cEND = blockgrid->Give_coord_hexahedron(id_hex,i+1,j+1,k  );
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	    cWST = blockgrid->Give_coord_hexahedron(id_hex,i,  j,  k+1);
	    cEST = blockgrid->Give_coord_hexahedron(id_hex,i+1,j  ,k+1);
	    cWNT = blockgrid->Give_coord_hexahedron(id_hex,i,  j+1,k+1);
	    cENT = blockgrid->Give_coord_hexahedron(id_hex,i+1,j+1,k+1);
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            // bounding box calculation 
	    boxWSD.x = MIN(MIN(MIN(cWSD.x,cESD.x),MIN(cWND.x,cEND.x)),
			   MIN(MIN(cWST.x,cEST.x),MIN(cWNT.x,cENT.x))) - factor *hx;
	    boxWSD.y = MIN(MIN(MIN(cWSD.y,cESD.y),MIN(cWND.y,cEND.y)),
			   MIN(MIN(cWST.y,cEST.y),MIN(cWNT.y,cENT.y))) - factor *hy;
	    boxWSD.z = MIN(MIN(MIN(cWSD.z,cESD.z),MIN(cWND.z,cEND.z)),
			   MIN(MIN(cWST.z,cEST.z),MIN(cWNT.z,cENT.z))) - factor *hz;

	    boxENT.x = MAX(MAX(MAX(cWSD.x,cESD.x),MAX(cWND.x,cEND.x)),
			   MAX(MAX(cWST.x,cEST.x),MAX(cWNT.x,cENT.x))) + factor *hx;
	    boxENT.y = MAX(MAX(MAX(cWSD.y,cESD.y),MAX(cWND.y,cEND.y)),
			   MAX(MAX(cWST.y,cEST.y),MAX(cWNT.y,cENT.y))) + factor *hy;
	    boxENT.z = MAX(MAX(MAX(cWSD.z,cESD.z),MAX(cWND.z,cEND.z)),
			   MAX(MAX(cWST.z,cEST.z),MAX(cWNT.z,cENT.z))) + factor *hz;

	    // calculation of indices of a collection of cells of structured grid which contains bounding box
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	    ilmin = Ganzzahliger_Anteil((boxWSD.x - pWSD.x) / hx);
	    jlmin = Ganzzahliger_Anteil((boxWSD.y - pWSD.y) / hy);
	    klmin = Ganzzahliger_Anteil((boxWSD.z - pWSD.z) / hz);
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	    ilmax = Ganzzahliger_Anteil((boxENT.x - pWSD.x) / hx);
	    jlmax = Ganzzahliger_Anteil((boxENT.y - pWSD.y) / hy);
	    klmax = Ganzzahliger_Anteil((boxENT.z - pWSD.z) / hz);
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	    /*
	    cout << " indices: "
		 << " ilmin: " << ilmin 
		 << " jlmin: " << jlmin 
		 << " klmin: " << klmin 
		 << " ilmax: " << ilmax 
		 << " jlmax: " << jlmax 
		 << " klmax: " << klmax 
		 << " boxWSD.x: " << boxWSD.x
		 << " cWSD.x: " << cWSD.x
		 << " Nx: " <<  Nx
		 << endl;
	    */
	    /*	    
bool now;
if(boxWSD.z < 0 && boxENT.z > 0.0 && boxWSD.y < 0.5 && boxENT.y > 0.5 && boxWSD.x < 1.0 && boxENT.x > 1.0 ) {
  cout << "\n \n WSD   : ";  boxWSD.Print();
  cout << "\n ENT  : ";  boxENT.Print();
  now = true;
 }
 else now = false;

 
 cout << " tt: " << boxWSD.x << " " << pWSD.x << " " << hx << endl;
 cout << (boxWSD.x - pWSD.x) << endl;

 cout << " z: " << 0.1 << " g: " << Ganzzahliger_Anteil(0.1) << endl;
 cout << " z: " << -0.1 << " g: " << Ganzzahliger_Anteil(-0.1) << endl;

 cout << " z: " << 5.1 << " g: " << Ganzzahliger_Anteil(5.1) << endl;
 cout << " z: " << -5.1 << " g: " << Ganzzahliger_Anteil(-5.1) << endl;
	    */

	    if(ilmin<0) ilmin=0;
	    if(jlmin<0) jlmin=0;
	    if(klmin<0) klmin=0;

	    for(int il = ilmin; (il <= ilmax) && (il < nx_);++il)
	      for(int jl = jlmin; (jl <= jlmax) && (jl < ny_);++jl)
		for(int kl = klmin; (kl <= klmax) && (kl < nz_);++kl) {

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		  ploc = D3vector(il * hx, jl * hy, kl * hz) + pWSD;
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		  //		  cout << "HI" << endl;

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		  typ = -1;
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		  lam = lambda_of_p_in_tet(ploc,cWND,cWNT,cWST,cEST);
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		  if(contained_in_tet(lam)) typ=0;
		  else {
		    lam = lambda_of_p_in_tet(ploc,cEST,cWND,cWST,cESD);
		    if(contained_in_tet(lam)) typ=1;
		    else {
		      lam = lambda_of_p_in_tet(ploc,cWND,cWSD,cWST,cESD);
		      if(contained_in_tet(lam)) typ=2;
		      else {
			lam = lambda_of_p_in_tet(ploc,cEST,cWND,cESD,cEND);
			if(contained_in_tet(lam)) typ=3;
			else {
			  lam = lambda_of_p_in_tet(ploc,cENT,cWNT,cEST,cEND);
			  if(contained_in_tet(lam)) typ=4;
			  else {
			    lam = lambda_of_p_in_tet(ploc,cWNT,cWND,cEST,cEND);
			    if(contained_in_tet(lam)) typ=5;
			  }
			}
		      }
		    }
		  }

		  /*		  
		  cout << " typ " << typ << id_hex 
		       << " il: " << il 
		       << " jl: " << jl 
		       << " kl: " << kl 
		       << endl; 
		  */

		  if(typ!=-1) {
		    int ind_global;
		    ind_global = il+nx*(jl+ny*kl);      
		    bool stop;
		    stop=false;

		    if(ids_hex[ind_global]!=-1) {
		      stop=new_lam_worse(lambda[ind_global],lam);
		    }

		    if(stop==false) {
		      ids_hex[ind_global] = id_hex;
		      ids_i[ind_global] = i;
		      ids_j[ind_global] = j;
		      ids_k[ind_global] = k;
		      
		      typ_tet[ind_global] = typ;
		      
		      lambda[ind_global] = lam;
		    }
		    //go_on = false;
		  }

		  /*
		  cout << " out "
		       << " ilmin: " << ilmin
		       << " ilmax: " << ilmax
		       << " jlmin: " << jlmin
		       << " jlmax: " << jlmax
		       << " klmin: " << klmin
		       << " klmax: " << klmax;
		  cout << "\n   "; cWSD.Print();
		  cout << "\n   "; cESD.Print();
		  cout << "\n   "; cWND.Print();
		  cout << "\n   "; cEND.Print();
		  cout << "\n   "; cWST.Print();
		  cout << "\n   "; cEST.Print();
		  cout << "\n   "; cWNT.Print();
		  cout << "\n   "; cENT.Print();
		  cout << "\n   p: "; ploc.Print();

		  cout << "\n   : ";  boxWSD.Print();
		  cout << "\n   : ";  boxENT.Print();

		  cout << endl;
		  */
		}
	  }
  }


  for(int i=0;i<num_total;++i) {
    if(ids_hex[i]==-1) {
      // wir nehmen default value!!
      /*
      cout << i 
	   << " Error: Interpolate_on_structured_grid: I cannot interpolate all data!"
	   << endl;
      ids_hex[i] = 0;
      */
    }
    else {
      //cout << i << " Interpolate_on_structured_grid: o.k.!" << endl;
    }
  }
}

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


Interpolate_on_block_grid::Interpolate_on_block_grid(int nx_, int ny_, int nz_,
				                     Blockgrid* blockgrid_from, Blockgrid* blockgrid_to_) {
    nx = nx_;
    ny = ny_;
    nz = nz_;
 
    if(nx<=2) nx = 3;
    if(ny<=2) ny = 3;
    if(nz<=2) nz = 3;
     
    blockgrid_to = blockgrid_to_;
    
    //Variable<double> coordXYZ(*blockgrid);
    X_coordinate Xc(*blockgrid_to);
    Y_coordinate Yc(*blockgrid_to);
    Z_coordinate Zc(*blockgrid_to);
    
    pWSD.x = Minimum(Xc);    pWSD.y = Minimum(Yc);    pWSD.z = Minimum(Zc);
    pENT.x = Maximum(Xc);    pENT.y = Maximum(Yc);    pENT.z = Maximum(Zc);  

    interpolatorStructured = new Interpolate_on_structured_grid(nx,ny,nz, pWSD, pENT, *blockgrid_from);
    data = new double[nx*ny*nz];
    
    
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    hx = (pENT.x - pWSD.x) / (nx+1);
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    hy = (pENT.y - pWSD.y) / (ny+1); // CHANGES OF RALL MISSING; HAS TO BE FIXED. -> still old version in interpol.cc file used!
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    hz = (pENT.z - pWSD.z) / (nz+1);    
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    /*
    
    // test GGGG
    cout << "\n WSD: " ; pWSD.Print();
    cout << "\n ENT: " ; pENT.Print();
    cout << "nx: " << nx << " ny: " << ny << " nz: " << nz << endl;
    */
}
  

  
void Interpolate_on_block_grid::interpolate(Variable<double>* U_from, Variable<double>* U_to,
					    double defaultInterpolation) {
/*
   //test GGGG
   X_coordinate Xfrom(*U_from->Give_blockgrid());
  (*U_from) = Xfrom;  
*/  
    interpolatorStructured->interpolate<double>(*U_from,data,defaultInterpolation);

    /*
 //test GGGG
    for(int i=0;i<Nx;++i) for(int j=0;j<nz;++j) for(int k=0;k<nz;++k) 
       data[i    +nx*(j    +ny* k)] = hx * i;
      */
      
    Functor3<double,double,Interpolate_on_block_grid> myFunctor(this);
    
    X_coordinate Xc(*blockgrid_to);
    Y_coordinate Yc(*blockgrid_to);
    Z_coordinate Zc(*blockgrid_to);
    
    (*U_to) = myFunctor(Xc,Yc,Zc);
}
 
double Interpolate_on_block_grid::evaluate(double coord_x, double coord_y, double coord_z) {  
  if(coord_x > pENT.x) return 0.0;
  if(coord_x < pWSD.x) return 0.0;
  if(coord_y > pENT.y) return 0.0;
  if(coord_y < pWSD.y) return 0.0;
  if(coord_z > pENT.z) return 0.0;
  if(coord_z < pWSD.z) return 0.0;
  
  int i = (coord_x - pWSD.x) / hx;   
  int j = (coord_y - pWSD.y) / hy;   
  int k = (coord_z - pWSD.z) / hz;   
    
  if(i < 0)   i=0;     if(j <0   ) j=0;     if(k<0)     k=0;
  if(i>=nx-1) i=nx-2;  if(j>=ny-1) j=ny-2;  if(k>=nz-1) k=nz-2;
  
  //cout << "i: " << i << " j: " << j << " k: " << k << endl;
    
    
  double uWSD = data[i    +nx*(j    +ny* k)];
  double uESD = data[(i+1)+nx*(j    +ny* k)];
  double uWND = data[i    +nx*((j+1)+ny* k)];
  double uEND = data[(i+1)+nx*((j+1)+ny* k)];
  double uWST = data[i    +nx*(j    +ny*(k+1))];
  double uEST = data[(i+1)+nx*(j    +ny*(k+1))];
  double uWNT = data[i    +nx*((j+1)+ny*(k+1))];
  double uENT = data[(i+1)+nx*((j+1)+ny*(k+1))];
  
  
  // assert( (i+1)+nx*((j+1)+ny*(k+1)) < nx*ny*nz);
  
  double locX = (coord_x - pWSD.x) / hx - i;
  double locY = (coord_y - pWSD.y) / hy - j;
  double locZ = (coord_z - pWSD.z) / hz - k;
  
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  return uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
         uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
         uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
         uEND *        locX  *        locY  * (1.0 - locZ) +
         uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
         uEST *        locX  * (1.0 - locY) *        locZ  +
         uWNT * (1.0 - locX) *        locY  *        locZ  +
         uENT *        locX  *        locY  *        locZ;
}
 
Interpolate_on_block_grid::~Interpolate_on_block_grid() {
    delete interpolatorStructured;
    delete[] data;
}


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/////////////////////////////////////////////////////////////
// 3. Interpolate from Variable on a blockgrid to any point using structured intermediate grid  
/////////////////////////////////////////////////////////////
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PointInterpolator::PointInterpolator(int nx_, int ny_, int nz_,
				     Variable<double>* U_from, double defaultInterpolation_) {
    defaultInterpolation = defaultInterpolation_;
    shiftx = 0.0;
    shifty = 0.0;
    shiftz = 0.0;
    nx = nx_;
    ny = ny_;
    nz = nz_;
 
    if(nx<=2) nx = 3;
    if(ny<=2) ny = 3;
    if(nz<=2) nz = 3;
     
    Blockgrid* blockgrid_from = U_from->Give_blockgrid();
    
    //Variable<double> coordXYZ(*blockgrid);
    X_coordinate Xc(*blockgrid_from);
    Y_coordinate Yc(*blockgrid_from);
    Z_coordinate Zc(*blockgrid_from);
    pWSD.x = Minimum(Xc);    pWSD.y = Minimum(Yc);    pWSD.z = Minimum(Zc);
    pENT.x = Maximum(Xc);    pENT.y = Maximum(Yc);    pENT.z = Maximum(Zc);  


    interpolatorStructured = new Interpolate_on_structured_grid(nx,ny,nz, pWSD, pENT, *blockgrid_from);

    data = new double[nx*ny*nz];
    
    
    hx = (pENT.x - pWSD.x) / (nx-1);
    hy = (pENT.y - pWSD.y) / (ny-1);
    hz = (pENT.z - pWSD.z) / (nz-1);

    interpolatorStructured->interpolate<double>(*U_from,data,defaultInterpolation_);

    
    /*
    
    // test GGGG
    cout << "\n WSD: " ; pWSD.Print();
    cout << "\n ENT: " ; pENT.Print();
    cout << "nx: " << nx << " ny: " << ny << " nz: " << nz << endl;
    */
}
  
PointInterpolator::PointInterpolator(int nx_, int ny_, int nz_,
				     D3vector pWSD_, D3vector pENT_,
				     Variable<double>* U_from, double defaultInterpolation_) {
    defaultInterpolation = defaultInterpolation_;
  
    shiftx = 0.0;
    shifty = 0.0;
    shiftz = 0.0;
    nx = nx_;
    ny = ny_;
    nz = nz_;
 
    if(nx<=2) nx = 3;
    if(ny<=2) ny = 3;
    if(nz<=2) nz = 3;
     
    Blockgrid* blockgrid_from = U_from->Give_blockgrid();
        
    pWSD = pWSD_;
    pENT = pENT_; 

    interpolatorStructured = new Interpolate_on_structured_grid(nx,ny,nz, pWSD, pENT, *blockgrid_from);
    data = new double[nx*ny*nz];
    
    
    hx = (pENT.x - pWSD.x) / (nx-1);
    hy = (pENT.y - pWSD.y) / (ny-1);
    hz = (pENT.z - pWSD.z) / (nz-1);
    
    
    interpolatorStructured->interpolate<double>(*U_from,data,defaultInterpolation);
    
   
    
    
    /*
    
    // test GGGG
    cout << "\n WSD: " ; pWSD.Print();
    cout << "\n ENT: " ; pENT.Print();
    cout << "nx: " << nx << " ny: " << ny << " nz: " << nz << endl;
    */
}

PointInterpolator::PointInterpolator(Interpolate_on_structured_grid* intermediateGrid, Variable<double>* U_from, double defaultInterpolation_)
{
    defaultInterpolation = defaultInterpolation_;
  
    nx = intermediateGrid->nx;
    ny = intermediateGrid->ny;
    nz = intermediateGrid->nz;
    
    data = new double[nx*ny*nz];
    
    pENT = intermediateGrid->pENT;
    pWSD = intermediateGrid->pWSD;
    
    shiftx = 0.0;
    shifty = 0.0;
    shiftz = 0.0;
    hx = (pENT.x - pWSD.x) / (nx-1);
    hy = (pENT.y - pWSD.y) / (ny-1);
    hz = (pENT.z - pWSD.z) / (nz-1);

    intermediateGrid->interpolate<double>(*U_from,data,defaultInterpolation_);
}
 
 /*
Interpolate_on_structured_grid* PointInterpolator::intermediateGrid(int nx_, int ny_, int nz_, Variable<double>* U_from)
{
    nx = nx_;
    ny = ny_;
    nz = nz_;
 
    if(nx<=2) nx = 3;
    if(ny<=2) ny = 3;
    if(nz<=2) nz = 3;
     
    Blockgrid* blockgrid_from = U_from->Give_blockgrid();
    
    //Variable<double> coordXYZ(*blockgrid);
    X_coordinate Xc(*blockgrid_from);
    Y_coordinate Yc(*blockgrid_from);
    Z_coordinate Zc(*blockgrid_from);
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    pWSD.x = Minimum(Xc);    pWSD.y = Minimum(Yc);    pWSD.z = Minimum(Zc);
    pENT.x = Maximum(Xc);    pENT.y = Maximum(Yc);    pENT.z = Maximum(Zc);  
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    interpolatorStructured = new Interpolate_on_structured_grid(nx,ny,nz, pWSD, pENT, *blockgrid_from);
    
    return interpolatorStructured;
}
*/


 
double PointInterpolator::evaluate(double coord_x, double coord_y, double coord_z) {  

    coord_x-=shiftx;
    coord_y-=shifty;
    coord_z-=shiftz;

  if(coord_x > pENT.x) return defaultInterpolation;
  if(coord_x < pWSD.x) return defaultInterpolation;
  if(coord_y > pENT.y) return defaultInterpolation;
  if(coord_y < pWSD.y) return defaultInterpolation;
  if(coord_z > pENT.z) return defaultInterpolation;
  if(coord_z < pWSD.z) return defaultInterpolation;
  
  //cout << "coord_z " << coord_z << " pWSD.z " << pWSD.z << endl;
    /*
  int i = (coord_x - pWSD.x) / hx;
  int j = (coord_y - pWSD.y) / hy;
  int k = (coord_z - pWSD.z) / hz;
  */
  double id = (coord_x - pWSD.x) / hx;
  double jd = (coord_y - pWSD.y) / hy;
  double kd = (coord_z - pWSD.z) / hz;


  int i = int(id);
  int j = int(jd);
  int k = int(kd);

  if(i < 0)   i=0;     if(j <0   ) j=0;     if(k<0)     k=0;
  if(i>=nx-1) i=nx-2;  if(j>=ny-1) j=ny-2;  if(k>=nz-1) k=nz-2;



  //cout << "hx " << hx << " hy "<< hy << " hz " << hz << endl;
  //cout << "id: " << id << " jd: " << jd << " kd: " << kd << endl;
  //cout << "i: " << i << " j: " << j << " k: " << k << endl;
  //cout << "nx: " << nx << " ny: " << ny << " nz: " << nz << endl;
        


  double uWSD = data[i    +nx*(j    +ny* k)];
  double uESD = data[(i+1)+nx*(j    +ny* k)];
  double uWND = data[i    +nx*((j+1)+ny* k)];
  double uEND = data[(i+1)+nx*((j+1)+ny* k)];
  double uWST = data[i    +nx*(j    +ny*(k+1))];
  double uEST = data[(i+1)+nx*(j    +ny*(k+1))];
  double uWNT = data[i    +nx*((j+1)+ny*(k+1))];
  double uENT = data[(i+1)+nx*((j+1)+ny*(k+1))];
  //i++;
  //j++;
  //k++;
  //k++;
  //cout << "uWSD " << uWSD << endl;
  //cout << "uESD " << uESD << endl;
  //cout << "uWND " << uWND << endl;
  //cout << "uEND " << uEND << endl;
  //cout << "uWST " << uWST << endl;
  //cout << "uEST " << uEST << endl;
  //cout << "uWNT " << uWNT << endl;
  //cout << "uENT " << uENT << endl;


  //cout << "x+1 "<< data[(i+2)+nx*(j    +ny* k)] << endl;
  //cout << "x-1 " <<data[i-1    +nx*(j    +ny* k)] << endl;
  //cout << "x-1, y-1 " <<data[i-1    +nx*(j-1    +ny* k)] << endl;

  // assert( (i+1)+nx*((j+1)+ny*(k+1)) < nx*ny*nz);
  
  double posX = (coord_x - pWSD.x) ;
  double locX = posX / hx - i;
  double posY = (coord_y - pWSD.y);
  double locY = posY / hy - j;
  double posZ = (coord_z - pWSD.z);
  double locZ = posZ / hz - k;



  //cout << "locX, Y, Z: " << locX << " " << locY << " " << locZ << endl;
  //return uWSD;
  
  
  //cout << "uPOS : " << uWSD << " , " << uESD << " , " << uWND << " , " << uEND << " , " << uWST << " , " << uEST << " , " << uWNT << " , " << uENT << endl;
  double uTOT(0);
  double uET, uWT, uWD, uED;
  double uT, uD;

  if      ( (uEST != defaultInterpolation) == (uENT != defaultInterpolation) ) { uET = uEST * (1.0 - locY) + uENT * locY ;}
  else if ( (uEST != defaultInterpolation) && (uENT == defaultInterpolation) ) { uET = uEST;}
  else     								       { uET = uENT;}
  
  if      ( (uWST != defaultInterpolation) == (uWNT != defaultInterpolation) ) {uWT = uWST * (1.0 - locY) + uWNT * locY ;}
  else if ( (uWST != defaultInterpolation) && (uWNT == defaultInterpolation) ) {uWT = uWST;}
  else     								       {uWT = uWNT;}
  
  if      ( (uESD != defaultInterpolation) == (uEND != defaultInterpolation) ) {uED = uESD * (1.0 - locY) + uEND * locY ;}
  else if ( (uESD != defaultInterpolation) && (uEND == defaultInterpolation) ) {uED = uESD;}
  else  								       {uED = uEND;}
  
  if      ( (uWSD != defaultInterpolation) == (uWND != defaultInterpolation) ) {uWD = uWSD * (1.0 - locY) + uWND * locY ;}
  else if ( (uWSD != defaultInterpolation) && (uWND == defaultInterpolation) ) {uWD = uWSD;}
  else     								       {uWD = uWND;}
    
  if      ( (uET != defaultInterpolation)  == (uWT != defaultInterpolation)  ) {uT = uWT  * (1.0 - locX) + uET  * locX ;}
  else if ( (uET != defaultInterpolation)  && (uWT == defaultInterpolation)  ) {uT = uET;}
  else     								       {uT = uWT;}
  
  if      ( (uED != defaultInterpolation)  == (uWD != defaultInterpolation)  ) {uD = uWD  * (1.0 - locX) + uED  * locX ;}
  else if ( (uED != defaultInterpolation)  && (uWD == defaultInterpolation)  ) {uD = uED;}
  else     								       {uD = uWD;}
  
  if      ( (uT != defaultInterpolation)   == (uD != defaultInterpolation)   ) {uTOT = uD   * (1.0 - locZ) + uT   * locZ ;}
  else if ( (uT != defaultInterpolation)   && (uD == defaultInterpolation)   ) {uTOT = uT;}
  else    								       {uTOT = uD;}



//  if (uWSD != defaultInterpolation)
//  {    uTOT += uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ);  }
//  if (uESD != defaultInterpolation)
//  {    uTOT += uESD *        locX  * (1.0 - locY) * (1.0 - locZ);  }
//  if (uWND != defaultInterpolation)
//  {    uTOT += uWND * (1.0 - locX) *        locY  * (1.0 - locZ);  }
//  if (uEND != defaultInterpolation)
//  {    uTOT += uEND *        locX  *        locY  * (1.0 - locZ);  }
//  if (uWST != defaultInterpolation)
//  {    uTOT += uWST * (1.0 - locX) * (1.0 - locY) *        locZ;  }
//  if (uEST != defaultInterpolation)
//  {    uTOT += uEST *        locX  * (1.0 - locY) *        locZ;  }
//  if (uWNT != defaultInterpolation)
//  {    uTOT += uWNT * (1.0 - locX) *        locY  *        locZ;  }
//  if (uENT != defaultInterpolation)
//  {    uTOT += uENT *        locX  *        locY  *        locZ;  }

    //cout << "my method, other method " << uTOT << " , " << uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
    //     uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
   //      uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
    //     uEND *        locX  *        locY  * (1.0 - locZ) +
   //      uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
   //      uEST *        locX  * (1.0 - locY) *        locZ  +
    //     uWNT * (1.0 - locX) *        locY  *        locZ  +
    //     uENT *        locX  *        locY  *        locZ << endl;


  //cout <<endl<< "RESULT: " << uTOT<<endl<<endl;
  return uTOT;


  

  /*
  return uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
         uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
         uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
         uEND *        locX  *        locY  * (1.0 - locZ) +
         uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
         uEST *        locX  * (1.0 - locY) *        locZ  +
         uWNT * (1.0 - locX) *        locY  *        locZ  +
         uENT *        locX  *        locY  *        locZ;
  */
}

std::vector<double> PointInterpolator::evaluateGradient(double coord_x, double coord_y, double coord_z){
    coord_x-=shiftx;
    coord_y-=shifty;
    coord_z-=shiftz;
    //cout << "coord_x y z " << coord_x << " " << coord_y << " " << coord_z << endl;
    if(coord_x > pENT.x) return std::vector<double>({0.0 , 0.0 , 0.0});
    if(coord_x < pWSD.x) return std::vector<double>({0.0 , 0.0 , 0.0});
    if(coord_y > pENT.y) return std::vector<double>({0.0 , 0.0 , 0.0});
    if(coord_y < pWSD.y) return std::vector<double>({0.0 , 0.0 , 0.0});
    if(coord_z > pENT.z) return std::vector<double>({0.0 , 0.0 , 0.0});
    if(coord_z < pWSD.z) return std::vector<double>({0.0 , 0.0 , 0.0});


    double id = (coord_x - pWSD.x) / hx;
    double jd = (coord_y - pWSD.y) / hy;
    double kd = (coord_z - pWSD.z) / hz;


    int i = int(id);
    int j = int(jd);
    int k = int(kd);

    if(i < 0)   i=0;     if(j <0   ) j=0;     if(k<0)     k=0;
    if(i>=nx-1) i=nx-2;  if(j>=ny-1) j=ny-2;  if(k>=nz-1) k=nz-2;


    //cout << "coord_i j k " << i << " " << j << " " << k << endl;





    double uWSD = data[i    +nx*(j    +ny* k)];
    double uESD = data[(i+1)+nx*(j    +ny* k)];
    double uWND = data[i    +nx*((j+1)+ny* k)];
    double uEND = data[(i+1)+nx*((j+1)+ny* k)];
    double uWST = data[i    +nx*(j    +ny*(k+1))];
    double uEST = data[(i+1)+nx*(j    +ny*(k+1))];
    double uWNT = data[i    +nx*((j+1)+ny*(k+1))];
    double uENT = data[(i+1)+nx*((j+1)+ny*(k+1))];

    double posX = (coord_x - pWSD.x) ;
    double locX = posX / hx - i;
    double posY = (coord_y - pWSD.y);
    double locY = posY / hy - j;
    double posZ = (coord_z - pWSD.z);
    double locZ = posZ / hz - k;

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//    cout << " uWSD " << uWSD << endl;
//    cout << " uESD " << uESD << endl;
//    cout << " uWND " << uWND << endl;
//    cout << " uEND " << uEND << endl;
//    cout << " uWST " << uWST << endl;
//    cout << " uEST " << uEST << endl;
//    cout << " uWNT " << uWNT << endl;
//    cout << " uENT " << uENT << endl;
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    //cout << "coord_locX locY locZ " << locX << " " << locY << " " << locZ << endl;

    if (uWSD == 0.0 || uESD == 0.0 || uWND == 0.0 || uEND == 0.0 || uWST == 0.0 || uEST == 0.0 || uWNT == 0.0 || uENT == 0.0)
    {
        std::vector<double> gradient = { 0.0 , 0.0 , 0.0};
        return gradient;
    }
    double uTOT(0);
    double uET, uWT, uWD, uED;
    double uT, uD, uN, uS, uW, uE;

    double uGradientZ, uGradientX, uGradientY;

    //assume: all values are != defaultInterpolation
    //does not hold for curved interfaces
    /*
    return uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
           uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
           uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
           uEND *        locX  *        locY  * (1.0 - locZ) +
           uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
           uEST *        locX  * (1.0 - locY) *        locZ  +
           uWNT * (1.0 - locX) *        locY  *        locZ  +
           uENT *        locX  *        locY  *        locZ;
    */
    uGradientX =    uWSD * (0.0 - 1.0) * (1.0 - locY) * (1.0 - locZ) +
                    uESD *        1.0  * (1.0 - locY) * (1.0 - locZ) +
                    uWND * (0.0 - 1.0) *        locY  * (1.0 - locZ) +
                    uEND *        1.0  *        locY  * (1.0 - locZ) +
                    uWST * (0.0 - 1.0) * (1.0 - locY) *        locZ  +
                    uEST *        1.0  * (1.0 - locY) *        locZ  +
                    uWNT * (0.0 - 1.0) *        locY  *        locZ  +
                    uENT *        1.0  *        locY  *        locZ;
    uGradientY =    uWSD * (1.0 - locX) * (0.0 - 1.0) * (1.0 - locZ) +
                    uESD *        locX  * (0.0 - 1.0) * (1.0 - locZ) +
                    uWND * (1.0 - locX) *        1.0  * (1.0 - locZ) +
                    uEND *        locX  *        1.0  * (1.0 - locZ) +
                    uWST * (1.0 - locX) * (0.0 - 1.0) *        locZ  +
                    uEST *        locX  * (0.0 - 1.0) *        locZ  +
                    uWNT * (1.0 - locX) *        1.0  *        locZ  +
                    uENT *        locX  *        1.0  *        locZ;

    uGradientZ =    uWSD * (1.0 - locX) * (1.0 - locY) * (0.0 - 1.0) +
                    uESD *        locX  * (1.0 - locY) * (0.0 - 1.0) +
                    uWND * (1.0 - locX) *        locY  * (0.0 - 1.0) +
                    uEND *        locX  *        locY  * (0.0 - 1.0) +
                    uWST * (1.0 - locX) * (1.0 - locY) *        1.0  +
                    uEST *        locX  * (1.0 - locY) *        1.0  +
                    uWNT * (1.0 - locX) *        locY  *        1.0  +
                    uENT *        locX  *        locY  *        1.0;
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//    uGradientX =  (
//                   (uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
//                    uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
//                    uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
//                    uWNT * (1.0 - locX) *        locY  *        locZ  )
//                    -
//                   (uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
//                    uEND *        locX  *        locY  * (1.0 - locZ) +
//                    uEST *        locX  * (1.0 - locY) *        locZ  +
//                    uENT *        locX  *        locY  *        locZ)
//                  )/hx;


//    uGradientY =  (
//                   (uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
//                    uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
//                    uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
//                    uEST *        locX  * (1.0 - locY) *        locZ)
//                   -
//                   (uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
//                    uEND *        locX  *        locY  * (1.0 - locZ) +
//                    uWNT * (1.0 - locX) *        locY  *        locZ  +
//                    uENT *        locX  *        locY  *        locZ)
//                  )/hy;

//    uGradientZ =  (
//                   (uWSD * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ) +
//                    uESD *        locX  * (1.0 - locY) * (1.0 - locZ) +
//                    uWND * (1.0 - locX) *        locY  * (1.0 - locZ) +
//                    uEND *        locX  *        locY  * (1.0 - locZ))
//                    -
//                  (uWST * (1.0 - locX) * (1.0 - locY) *        locZ  +
//                   uEST *        locX  * (1.0 - locY) *        locZ  +
//                   uWNT * (1.0 - locX) *        locY  *        locZ  +
//                   uENT *        locX  *        locY  *        locZ)
//                  )/hz;
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    std::vector<double> gradient = {uGradientX / hx, uGradientY / hy, uGradientZ / hz};

    return gradient;

}

void PointInterpolator::smoothGrid()
{
    for (int i = 1 ; i < nx -1 ; i++)
    {
        for (int j = 1 ; j < ny -1 ; j++)
        {
            for (int k = 1 ; k < nz -1 ; k++)
            {
                data[i    +nx*(j    +ny* k)] =  (2.0 * data[i    +nx*(j    +ny* k)]
                                                    + data[i+1  +nx*(j    +ny* k)]
                                                    + data[i-1  +nx*(j    +ny* k)]
                                                    + data[i+1  +nx*(j+1  +ny* k)]
                                                    + data[i+1  +nx*(j-1  +ny* k)]
                                                    + data[i+1  +nx*(j    +ny* k+1)]
                                                    + data[i+1  +nx*(j    +ny* k-1)]) / 8.0;

            }
        }
    }
}

void PointInterpolator::writeOnInterpolatedGrid(double coord_x, double coord_y, double coord_z, double value)
{
    coord_x-=shiftx;
    coord_y-=shifty;
    coord_z-=shiftz;

    if(coord_x > pENT.x) return;
    if(coord_x < pWSD.x) return;
    if(coord_y > pENT.y) return;
    if(coord_y < pWSD.y) return;
    if(coord_z > pENT.z) return;
    if(coord_z < pWSD.z) return;

    double id = (coord_x - pWSD.x) / hx;
    double jd = (coord_y - pWSD.y) / hy;
    double kd = (coord_z - pWSD.z) / hz;


    int i = int(id);
    int j = int(jd);
    int k = int(kd);

    if(i < 0)   i=0;     if(j <0   ) j=0;     if(k<0)     k=0;
    if(i>=nx-1) i=nx-2;  if(j>=ny-1) j=ny-2;  if(k>=nz-1) k=nz-2;

    double posX = (coord_x - pWSD.x) ;
    double locX = posX / hx - i;
    double posY = (coord_y - pWSD.y);
    double locY = posY / hy - j;
    double posZ = (coord_z - pWSD.z);
    double locZ = posZ / hz - k;



    double uWSD = value * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ);
    double uESD = value *        locX  * (1.0 - locY) * (1.0 - locZ);
    double uWND = value * (1.0 - locX) *        locY  * (1.0 - locZ);
    double uEND = value *        locX  *        locY  * (1.0 - locZ);
    double uWST = value * (1.0 - locX) * (1.0 - locY) *        locZ ;
    double uEST = value *        locX  * (1.0 - locY) *        locZ ;
    double uWNT = value * (1.0 - locX) *        locY  *        locZ ;
    double uENT = value *        locX  *        locY  *        locZ ;

    data[i    +nx*(j    +ny* k)] = uWSD;
    data[(i+1)+nx*(j    +ny* k)] = uESD;
    data[i    +nx*((j+1)+ny* k)] = uWND;
    data[(i+1)+nx*((j+1)+ny* k)] = uEND;
    data[i    +nx*(j    +ny*(k+1))] = uWST;
    data[(i+1)+nx*(j    +ny*(k+1))] = uEST;
    data[i    +nx*((j+1)+ny*(k+1))] = uWNT;
    data[(i+1)+nx*((j+1)+ny*(k+1))] = uENT;

    return;


}

void PointInterpolator::subtractOnInterpolatedGrid(double coord_x, double coord_y, double coord_z, double value)
{
    coord_x+=shiftx;
    coord_y+=shifty;
    coord_z+=shiftz;
    if(coord_x > pENT.x) return;
    if(coord_x < pWSD.x) return;
    if(coord_y > pENT.y) return;
    if(coord_y < pWSD.y) return;
    if(coord_z > pENT.z) return;
    if(coord_z < pWSD.z) return;

    double id = (coord_x - pWSD.x) / hx;
    double jd = (coord_y - pWSD.y) / hy;
    double kd = (coord_z - pWSD.z) / hz;


    int i = int(id);
    int j = int(jd);
    int k = int(kd);

    if(i < 0)   i=0;     if(j <0   ) j=0;     if(k<0)     k=0;
    if(i>=nx-1) i=nx-2;  if(j>=ny-1) j=ny-2;  if(k>=nz-1) k=nz-2;

    double posX = (coord_x - pWSD.x) ;
    double locX = posX / hx - i;
    double posY = (coord_y - pWSD.y);
    double locY = posY / hy - j;
    double posZ = (coord_z - pWSD.z);
    double locZ = posZ / hz - k;



    double uWSD = value * (1.0 - locX) * (1.0 - locY) * (1.0 - locZ);
    double uESD = value *        locX  * (1.0 - locY) * (1.0 - locZ);
    double uWND = value * (1.0 - locX) *        locY  * (1.0 - locZ);
    double uEND = value *        locX  *        locY  * (1.0 - locZ);
    double uWST = value * (1.0 - locX) * (1.0 - locY) *        locZ ;
    double uEST = value *        locX  * (1.0 - locY) *        locZ ;
    double uWNT = value * (1.0 - locX) *        locY  *        locZ ;
    double uENT = value *        locX  *        locY  *        locZ ;

    data[i    +nx*(j    +ny* k)] -= uWSD;
    data[(i+1)+nx*(j    +ny* k)] -= uESD;
    data[i    +nx*((j+1)+ny* k)] -= uWND;
    data[(i+1)+nx*((j+1)+ny* k)] -= uEND;
    data[i    +nx*(j    +ny*(k+1))] -= uWST;
    data[(i+1)+nx*(j    +ny*(k+1))] -= uEST;
    data[i    +nx*((j+1)+ny*(k+1))] -= uWNT;
    data[(i+1)+nx*((j+1)+ny*(k+1))] -= uENT;

    return;
}

void PointInterpolator::shiftInterpolatedGrid(double shift_x, double shift_y, double shift_z)
{
    shiftx = shift_x;
    shifty = shift_y;
    shiftz = shift_z;
}

void PointInterpolator::scaleInterpolatedData(double scale, double zeroVal)
{
    if (scale == 1.0)
    {
        return;
    }
    for (int k = 0; k < nz; k++)
    {
        for (int j = 0; j < ny; j++)
        {
            for (int i = 0; i < nx; i++)
            {
                if (data[i    +nx*(j    +ny* k)] != defaultInterpolation )
                {
                    data[i    +nx*(j    +ny* k)] = (data[i    +nx*(j    +ny* k)] - zeroVal) * scale + zeroVal;
                    if (data[i    +nx*(j    +ny* k)] <= 1.0 & zeroVal != 0.0)
                    {
                        cout << "Warning:  " << data[i    +nx*(j    +ny* k)] << endl;
                    }
                }
            }
        }
    }
}

 
PointInterpolator::~PointInterpolator() {
    delete interpolatorStructured;
    delete[] data;
}