File: vtkParametricEnneper.cxx

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

  Program:   Visualization Toolkit
  Module:    vtkParametricEnneper.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 "vtkParametricEnneper.h"
#include "vtkObjectFactory.h"
#include "vtkMath.h"

vtkStandardNewMacro(vtkParametricEnneper);

//----------------------------------------------------------------------------
vtkParametricEnneper::vtkParametricEnneper()
{
  // Preset triangulation parameters
  this->MinimumU = -2.0;
  this->MinimumV = -2.0;
  this->MaximumU = 2.0;
  this->MaximumV = 2.0;

  this->JoinU = 0;
  this->JoinV = 0;
  this->TwistU = 0;
  this->TwistV = 0;
  this->ClockwiseOrdering = 1;
  this->DerivativesAvailable = 1;

}

//----------------------------------------------------------------------------
vtkParametricEnneper::~vtkParametricEnneper()
{
}

//----------------------------------------------------------------------------
void vtkParametricEnneper::Evaluate(double uvw[3], double Pt[3], double Duvw[9])
{

  double u = uvw[0];
  double v = uvw[1];
  double *Du = Duvw;
  double *Dv = Duvw + 3;

  // The point
  Pt[0] = u-u*u*u/3+u*v*v;
  Pt[1] = v-v*v*v/3+u*u*v;
  Pt[2] = u*u-v*v;

  //The derivatives are:
  Du[0] = 1-u*u+v*v;
  Dv[0] = 2*u*v;
  Du[1] = 2*u*v;
  Dv[1] = 1-v*v+u*u;
  Du[2] = 2*u;
  Dv[2] = -2*v;
}

//----------------------------------------------------------------------------
double vtkParametricEnneper::EvaluateScalar(double *, double *, double *)
{
  return 0;
}

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