text: /*=========================================================================
   *
   *  Copyright Insight Software Consortium
   *
   *  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.txt
   *
   *  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.
   *
   *=========================================================================*/
  #ifndef itkSphereMeshSource_hxx
  #define itkSphereMeshSource_hxx
  
  #include "itkIntTypes.h"
  #include "itkSphereMeshSource.h"
  
  namespace itk
  {
  /**
   *
   */
  template< typename TOutputMesh >
  SphereMeshSource< TOutputMesh >
  ::SphereMeshSource()
  {
    /**
     * Create the output
     */
    typename TOutputMesh::Pointer output = TOutputMesh::New();
    this->ProcessObject::SetNumberOfRequiredOutputs(1);
    this->ProcessObject::SetNthOutput( 0, output.GetPointer() );
    m_Squareness1 = 1.0;
    m_Squareness2 = 1.0;
    m_Center.Fill(0);
    m_Scale.Fill(1);
    m_ResolutionX = 4;
    m_ResolutionY = 4;
  }
  
  /*
   *
   */
  template< typename TOutputMesh >
  void
  SphereMeshSource< TOutputMesh >
  ::GenerateData()
  {
    IdentifierType i, j, jn, p, numpts;
    double        ustep, vstep, ubeg, vbeg, u, v;
    int           signu, signv;
  
    // calculate the number os cells and points
    numpts = m_ResolutionX * m_ResolutionY + 2;
  
    // calculate the steps using resolution
    ustep = itk::Math::pi / ( m_ResolutionX + 1 );
    vstep = 2.0 * itk::Math::pi / m_ResolutionY;
    ubeg = ( -itk::Math::pi / 2.0 ) + ustep;
    vbeg = -itk::Math::pi;
  
    ///////////////////////////////////////////////////////////////////////////
    // nodes allocation
  
    // the temporary container of nodes' connectness
    typename OutputMeshType::PointIdentifier tripoints[3] = { 0, 1, 2 };
  
    // memory allocation for nodes
    typename OutputMeshType::Pointer outputMesh = this->GetOutput();
  
    outputMesh->GetPoints()->Reserve(numpts);
  
    outputMesh->SetCellsAllocationMethod(OutputMeshType::CellsAllocatedDynamicallyCellByCell);
  
    PointsContainerPointer myPoints = outputMesh->GetPoints();
    typename PointsContainer::Iterator point = myPoints->Begin();
  
    OPointType p1;
  
    // calculate all regular nodes
    while ( point != myPoints->End() )
      {
      for ( u = ubeg, i = 0; i < m_ResolutionX; u += ustep, i++ )
        {
        for ( v = vbeg, j = 0; j < m_ResolutionY; v += vstep, j++ )
          {
          if ( std::cos(u) > 0 )
            {
            signu = 1;
            }
          else
            {
            signu = -1;
            }
          if ( std::cos(v) > 0 )
            {
            signv = 1;
            }
          else
            {
            signv = -1;
            }
  
          p1[0] = m_Scale[0] * signu * ( std::pow( (float)( std::fabs( std::cos(u) ) ), (float)m_Squareness1 ) ) * signv
                  * ( std::pow( (float)( std::fabs( std::cos(v) ) ), (float)m_Squareness2 ) ) + m_Center[0];
  
          if ( std::sin(v) > 0 )
            {
            signv = 1;
            }
          else
            {
            signv = -1;
            }
  
          p1[1] = m_Scale[1] * signu * ( std::pow( (float)( std::fabs( std::cos(u) ) ), (float)m_Squareness1 ) ) * signv
                  * ( std::pow( (float)( std::fabs( std::sin(v) ) ), (float)m_Squareness2 ) ) + m_Center[1];
  
          if ( std::sin(u) > 0 )
            {
            signu = 1;
            }
          else
            {
            signu = -1;
            }
  
          p1[2] = m_Scale[2] * signu * ( std::pow( (float)( std::fabs( std::sin(u) ) ), (float)m_Squareness1 ) )
                  + m_Center[2];
  
          point.Value() = p1;
          ++point;
          }
        }
  
      // calculate the south pole node
      p1[0] = ( m_Scale[0] * ( std::pow( (float)( std::fabs( std::cos(-itk::Math::pi / 2) ) ), 1.0f ) )
                * ( std::pow( (float)( std::fabs( std::cos(0.0) ) ), 1.0f ) ) + m_Center[0] );
      p1[1] = ( m_Scale[1] * ( std::pow( (float)( std::fabs( std::cos(-itk::Math::pi / 2) ) ), 1.0f ) )
                * ( std::pow( (float)( std::fabs( std::sin(0.0) ) ), 1.0f ) ) + m_Center[1] );
      p1[2] = ( m_Scale[2] * -1 * ( std::pow( (float)( std::fabs( std::sin(-itk::Math::pi / 2) ) ), 1.0f ) )
                + m_Center[2] );
      point.Value() = p1;
      ++point;
  
      // calculate the north pole node
      p1[0] = ( m_Scale[0] * ( std::pow( (float)( std::fabs( std::cos(itk::Math::pi / 2) ) ), 1.0f ) )
                * ( std::pow(std::fabs( std::cos(0.0) ), 1.0) ) + m_Center[0] );
      p1[1] = ( m_Scale[1] * ( std::pow( (float)( std::fabs( std::cos(itk::Math::pi / 2) ) ), 1.0f ) )
                * ( std::pow(std::fabs( std::sin(0.0) ), 1.0) ) + m_Center[1] );
      p1[2] = ( m_Scale[2] * ( std::pow( (float)( std::fabs( std::sin(itk::Math::pi / 2) ) ), 1.0f ) )
                + m_Center[2] );
      point.Value() = p1;
      ++point;
      }
  
    ///////////////////////////////////////////////////////////////////////////
    // cells allocation
    p = 0;
  
    // store all regular cells
    CellAutoPointer testCell;
    for ( unsigned int ii = 0; ii + 1 < m_ResolutionX; ii++ )
      {
      for ( unsigned int jj = 0; jj < m_ResolutionY; jj++ )
        {
        jn = ( jj + 1 ) % m_ResolutionY;
        tripoints[0] = ii * m_ResolutionY + jj;
        tripoints[1] = tripoints[0] - jj + jn;
        tripoints[2] = tripoints[0] + m_ResolutionY;
        testCell.TakeOwnership(new TriCellType);
        testCell->SetPointIds(tripoints);
        outputMesh->SetCell(p, testCell);
        outputMesh->SetCellData(p, (OPixelType)3.0);
        p++;
        testCell.TakeOwnership(new TriCellType);
        tripoints[0] = tripoints[1];
        tripoints[1] = tripoints[0] + m_ResolutionY;
        testCell->SetPointIds(tripoints);
        outputMesh->SetCell(p, testCell);
        outputMesh->SetCellData(p, (OPixelType)3.0);
        p++;
        }
      }
  
    // store cells containing the south pole nodes
    for ( unsigned int jj = 0; jj < m_ResolutionY; jj++ )
      {
      jn = ( jj + 1 ) % m_ResolutionY;
      tripoints[0] = numpts - 2;
      tripoints[1] = jn;
      tripoints[2] = jj;
      testCell.TakeOwnership(new TriCellType);
      testCell->SetPointIds(tripoints);
      outputMesh->SetCell(p, testCell);
      outputMesh->SetCellData(p, (OPixelType)1.0);
      p++;
      }
  
    // store cells containing the north pole nodes
    for ( unsigned int jj = 0; jj < m_ResolutionY; jj++ )
      {
      jn = ( jj + 1 ) % m_ResolutionY;
      tripoints[2] = ( m_ResolutionX - 1 ) * m_ResolutionY + jj;
      tripoints[1] = numpts - 1;
      tripoints[0] = tripoints[2] - jj + jn;
      testCell.TakeOwnership(new TriCellType);
      testCell->SetPointIds(tripoints);
      outputMesh->SetCell(p, testCell);
      outputMesh->SetCellData(p, (OPixelType)2.0);
      p++;
      }
  }
  
  template< typename TOutputMesh >
  void
  SphereMeshSource< TOutputMesh >
  ::PrintSelf(std::ostream & os, Indent indent) const
  {
    Superclass::PrintSelf(os, indent);
  
    os << indent << "Center: " << m_Center << std::endl;
    os << indent << "Scale: " << m_Scale << std::endl;
    os << indent << "ResolutionX: " << m_ResolutionX << std::endl;
    os << indent << "ResolutionX: " << m_ResolutionY << std::endl;
    os << indent << "Squareness1: " << m_Squareness1 << std::endl;
    os << indent << "Squareness2: " << m_Squareness2 << std::endl;
  }
  } // end namespace itk
  
  #endif
  