File: vtkPlatonicSolidSource.cxx

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

  Program:   Visualization Toolkit
  Module:    vtkPlatonicSolidSource.cxx

  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.

=========================================================================*/
#include "vtkPlatonicSolidSource.h"

#include "vtkInformation.h"
#include "vtkInformationVector.h"
#include "vtkObjectFactory.h"
#include "vtkPolyData.h"
#include "vtkCellArray.h"
#include "vtkCellData.h"
#include "vtkPoints.h"

vtkStandardNewMacro(vtkPlatonicSolidSource);

// The geometry and topology of each solid. Solids are centered at
// the origin with radius 1.0.
// The golden ration phi = (1+sqrt(5))/2=1.61803398875 enters into many 
// of these values.
static double TetraPoints[] = {
  1.0,1.0,1.0, -1.0,1.0,-1.0, 1.0,-1.0,-1.0, -1.0,-1.0,1.0
};
static vtkIdType TetraVerts[] = {
  0,1,2, 1,3,2, 0,2,3, 0,3,1
};

static double CubePoints[] = {
  -1.0,-1.0,-1.0, 1.0,-1.0,-1.0, 1.0,1.0,-1.0, -1.0,1.0,-1.0,
  -1.0,-1.0,1.0, 1.0,-1.0,1.0, 1.0,1.0,1.0, -1.0,1.0,1.0
};
static vtkIdType CubeVerts[] = {
  0,1,5,4, 0,4,7,3, 4,5,6,7, 3,7,6,2, 1,2,6,5, 0,3,2,1
};

static double OctPoints[] = {
  -1.0,-1.0,0.0, 1.0,-1.0,0.0, 1.0,1.0,0.0, -1.0,1.0,0.0,
  0.0,0.0,-1.4142135623731, 0.0,0.0,1.4142135623731
};
static vtkIdType OctVerts[] = {
  4,1,0, 4,2,1, 4,3,2, 4,0,3, 0,1,5, 1,2,5, 2,3,5, 3,0,5
};

static double a_0 = 0.61803398875;
static double b = 0.381966011250;
static double DodePoints[] = {
   b, 0, 1,  -b, 0, 1,  b, 0,-1, -b, 0,-1,  0, 1,-b,
   0, 1, b,   0,-1,-b,  0,-1, b,  1, b, 0,  1,-b, 0,
  -1, b, 0,  -1,-b, 0, -a_0, a_0, a_0,  a_0,-a_0, a_0, -a_0,-a_0,-a_0,
   a_0, a_0,-a_0,   a_0, a_0, a_0, -a_0, a_0,-a_0, -a_0,-a_0, a_0,  a_0,-a_0,-a_0
};
static vtkIdType DodeVerts[] = {
  0,16,5,12,1, 1,18,7,13,0, 2,19,6,14,3, 3,17,4,15,2, 4,5,16,8,15,
  5,4,17,10,12, 6,7,18,11,14, 7,6,19,9,13, 8,16,0,13,9, 9,19,2,15,8,
  10,17,3,14,11, 11,18,1,12,10
};

static double c = 0.5;
static double d = 0.30901699;
static double IcosaPoints[] = {
   0.0,d,-c, 0.0,d,c,  0.0,-d,c, -d,c,0.0, 
  -d,-c,0.0, d,c,0.0,  d,-c,0.0,  0.0,-d,-c,
   c,0.0,d, -c,0.0,d, -c,0.0,-d,  c,0.0,-d
};
static vtkIdType IcosaVerts[] = {
  0,5,3, 1,3,5, 1,2,9, 1,8,2, 0,7,11, 0,10,7, 2,6,4, 7,4,6, 3,9,10,
  4,10,9, 5,11,8, 6,8,11, 1,9,3, 1,5,8, 0,3,10, 0,11,5, 7,10,4, 7,6,11,
  2,4,9, 2,8,6
};

vtkPlatonicSolidSource::vtkPlatonicSolidSource()
{
  this->SolidType = VTK_SOLID_TETRAHEDRON;
  this->SetNumberOfInputPorts(0);
}

int vtkPlatonicSolidSource::RequestData(
  vtkInformation *vtkNotUsed(request),
  vtkInformationVector **vtkNotUsed(inputVector),
  vtkInformationVector *outputVector)
{
  // get the info object
  vtkInformation *outInfo = outputVector->GetInformationObject(0);

  // get the ouptut
  vtkPolyData *output = vtkPolyData::SafeDownCast(
    outInfo->Get(vtkDataObject::DATA_OBJECT()));

  int i;
  double *pptr, *solidPoints=NULL, solidScale=1.0;
  vtkIdType *cptr, numPts=0, numCells=0, cellSize=0, *solidVerts=NULL;

  vtkDebugMacro(<<"Creating Platonic solid");

  // Based on type, select correct connectivity and point arrays
  //
  switch (this->SolidType)
    {
    case VTK_SOLID_TETRAHEDRON:
      numPts = 4;
      cellSize = 3;
      numCells = 4;
      solidPoints = TetraPoints;
      solidVerts = TetraVerts;
      solidScale = 1.0/sqrt(3.0);
      break;
      
    case VTK_SOLID_CUBE:
      numPts = 8;
      cellSize = 4;
      numCells = 6;
      solidPoints = CubePoints;
      solidVerts = CubeVerts;
      solidScale = 1.0/sqrt(3.0);
      break;
      
    case VTK_SOLID_OCTAHEDRON:
      numPts = 6;
      cellSize = 3;
      numCells = 8;
      solidPoints = OctPoints;
      solidVerts = OctVerts;
      solidScale = 1.0/sqrt(2.0);
      break;
      
    case VTK_SOLID_ICOSAHEDRON:
      numPts = 12;
      cellSize = 3;
      numCells = 20;
      solidPoints = IcosaPoints;
      solidVerts = IcosaVerts;
      solidScale = 1.0/0.58778524999243;
      break;
      
    case VTK_SOLID_DODECAHEDRON:
      numPts = 20;
      cellSize = 5;
      numCells = 12;
      solidPoints = DodePoints;
      solidVerts = DodeVerts;
      solidScale = 1.0/1.070466269319;
      break;
    }
  
  // Create the solids
  //
  vtkPoints *pts = vtkPoints::New();
  pts->SetDataTypeToDouble();
  pts->SetNumberOfPoints(numPts);
  vtkCellArray *polys = vtkCellArray::New();
  polys->Allocate(polys->EstimateSize(numCells,cellSize));
  vtkIntArray *colors = vtkIntArray::New();
  colors->SetNumberOfComponents(1);
  colors->SetNumberOfTuples(numCells);
  
  // Points
  for ( i=0, pptr=solidPoints; i<numPts; i++, pptr+=3 )
    {
    pts->SetPoint(i, solidScale*(pptr[0]), solidScale*(pptr[1]), 
                     solidScale*(pptr[2]));
    }
  
  // Cells
  for ( i=0, cptr=solidVerts; i<numCells; i++, cptr+=cellSize )
    {
    polys->InsertNextCell(cellSize,cptr);
    colors->SetTuple1(i,i);
    }
  
  // Assemble the output
  output->SetPoints(pts);
  output->SetPolys(polys);
  int idx = output->GetCellData()->AddArray(colors);
  output->GetCellData()->SetActiveAttribute(idx, vtkDataSetAttributes::SCALARS);

  pts->Delete();
  polys->Delete();
  colors->Delete();

  return 1;
}

void vtkPlatonicSolidSource::PrintSelf(ostream& os, vtkIndent indent)
{
  this->Superclass::PrintSelf(os,indent);

  os << indent << "Solid Type: " << "\n";
  if ( this->SolidType == VTK_SOLID_TETRAHEDRON )
    {
    os << "Tetrahedron\n";
    }
  else if ( this->SolidType == VTK_SOLID_CUBE )
    {
    os << "Cube\n";
    }
  else if ( this->SolidType == VTK_SOLID_OCTAHEDRON )
    {
    os << "Octahedron\n";
    }
  else if ( this->SolidType == VTK_SOLID_ICOSAHEDRON )
    {
    os << "Icosahedron\n";
    }
  else //if ( this->SolidType == VTK_SOLID_DODECAHEDRON )
    {
    os << "Dodecahedron\n";
    }
}