/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkBiQuadraticQuadraticHexahedron.h

  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/
// .NAME vtkBiQuadraticQuadraticHexahedron - cell represents a biquadratic, 
// 24-node isoparametric hexahedron
// .SECTION Description
// vtkBiQuadraticQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to
// represent a three-dimensional, 24-node isoparametric biquadratic
// hexahedron. The interpolation is the standard finite element,
// biquadratic-quadratic
// isoparametric shape function. The cell includes mid-edge and center-face nodes. The
// ordering of the 24 points defining the cell is point ids (0-7,8-19, 20-23)
// where point ids 0-7 are the eight corner vertices of the cube; followed by
// twelve midedge nodes (8-19), nodes 20-23 are the center-face nodes. Note that
// these midedge nodes correspond lie
// on the edges defined by (0,1), (1,2), (2,3), (3,0), (4,5), (5,6), (6,7),
// (7,4), (0,4), (1,5), (2,6), (3,7). The center face nodes lieing in quad
// 22-(0,1,5,4), 21-(1,2,6,5), 23-(2,3,7,6) and 22-(3,0,4,7)
//
// \verbatim
//
// top 
//  7--14--6
//  |      |
// 15      13
//  |      |
//  4--12--5
//
//  middle
// 19--23--18
//  |      |
// 20      21
//  |      |
// 16--22--17
//
// bottom
//  3--10--2
//  |      |
// 11      9 
//  |      |
//  0-- 8--1
//  
// \endverbatim
//
//
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticQuad vtkQuadraticPyramid vtkQuadraticWedge
//
// .SECTION Thanks
// Thanks to Soeren Gebbert  who developed this class and
// integrated it into VTK 5.0.


#ifndef __vtkBiQuadraticQuadraticHexahedron_h
#define __vtkBiQuadraticQuadraticHexahedron_h

#include "vtkNonLinearCell.h"

class vtkQuadraticEdge;
class vtkQuadraticQuad;
class vtkBiQuadraticQuad;
class vtkHexahedron;
class vtkDoubleArray;

class VTK_FILTERING_EXPORT vtkBiQuadraticQuadraticHexahedron : public vtkNonLinearCell
{
public:
  static vtkBiQuadraticQuadraticHexahedron *New();
  vtkTypeRevisionMacro(vtkBiQuadraticQuadraticHexahedron,vtkNonLinearCell);
  void PrintSelf(ostream& os, vtkIndent indent);

  // Description:
  // Implement the vtkCell API. See the vtkCell API for descriptions
  // of these methods.
  int GetCellType() {return VTK_BIQUADRATIC_QUADRATIC_HEXAHEDRON;}
  int GetCellDimension() {return 3;}
  int GetNumberOfEdges() {return 12;}
  int GetNumberOfFaces() {return 6;}
  vtkCell *GetEdge(int);
  vtkCell *GetFace(int);

  int CellBoundary(int subId, double pcoords[3], vtkIdList *pts);
  void Contour(double value, vtkDataArray *cellScalars,
               vtkIncrementalPointLocator *locator, vtkCellArray *verts,
               vtkCellArray *lines, vtkCellArray *polys,
               vtkPointData *inPd, vtkPointData *outPd,
               vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd);
  int EvaluatePosition(double x[3], double* closestPoint,
                       int& subId, double pcoords[3],
                       double& dist2, double *weights);
  void EvaluateLocation(int& subId, double pcoords[3], double x[3],
                        double *weights);
  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts);
  void Derivatives(int subId, double pcoords[3], double *values,
                   int dim, double *derivs);
  virtual double *GetParametricCoords();

  // Description:
  // Clip this biquadratic hexahedron using scalar value provided. Like
  // contouring, except that it cuts the hex to produce linear
  // tetrahedron.
  void Clip(double value, vtkDataArray *cellScalars,
            vtkIncrementalPointLocator *locator, vtkCellArray *tetras,
            vtkPointData *inPd, vtkPointData *outPd,
            vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
            int insideOut);

  // Description:
  // Line-edge intersection. Intersection has to occur within [0,1] parametric
  // coordinates and with specified tolerance.
  int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
                        double x[3], double pcoords[3], int& subId);

  // Description:
  // @deprecated Replaced by vtkBiQuadraticQuadraticHexahedron::InterpolateFunctions as of VTK 5.2
  static void InterpolationFunctions(double pcoords[3], double weights[24]);
  // Description:
  // @deprecated Replaced by vtkBiQuadraticQuadraticHexahedron::InterpolateDerivs as of VTK 5.2
  static void InterpolationDerivs(double pcoords[3], double derivs[72]);
  // Description:
  // Compute the interpolation functions/derivatives
  // (aka shape functions/derivatives)
  virtual void InterpolateFunctions(double pcoords[3], double weights[24])
    {
    vtkBiQuadraticQuadraticHexahedron::InterpolationFunctions(pcoords,weights);
    }
  virtual void InterpolateDerivs(double pcoords[3], double derivs[72])
    {
    vtkBiQuadraticQuadraticHexahedron::InterpolationDerivs(pcoords,derivs);
    }
  // Description:
  // Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
  // Ids are related to the cell, not to the dataset.
  static int *GetEdgeArray(int edgeId);
  static int *GetFaceArray(int faceId);

  // Description:
  // Given parametric coordinates compute inverse Jacobian transformation
  // matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
  // function derivatives.
  void JacobianInverse(double pcoords[3], double **inverse, double derivs[72]);

protected:
  vtkBiQuadraticQuadraticHexahedron();
  ~vtkBiQuadraticQuadraticHexahedron();

  vtkQuadraticEdge *Edge;
  vtkQuadraticQuad *Face;
  vtkBiQuadraticQuad *BiQuadFace;
  vtkHexahedron    *Hex;
  vtkPointData     *PointData;
  vtkCellData      *CellData;
  vtkDoubleArray   *CellScalars;
  vtkDoubleArray   *Scalars;

  void Subdivide(vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId,
    vtkDataArray *cellScalars);

private:
  vtkBiQuadraticQuadraticHexahedron(const vtkBiQuadraticQuadraticHexahedron&);  // Not implemented.
  void operator=(const vtkBiQuadraticQuadraticHexahedron&);  // Not implemented.
};

#endif


