vtkParametricHenneberg.cxx 2.79 KB
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/*=========================================================================

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

vtkStandardNewMacro(vtkParametricHenneberg);
//----------------------------------------------------------------------------//
vtkParametricHenneberg::vtkParametricHenneberg()
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{
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  // Preset triangulation parameters
  this->MinimumU = -1.0;
  this->MaximumU =  1.0;
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  this->MinimumV = -vtkMath::Pi() / 2.;
  this->MaximumV =  vtkMath::Pi() / 2.;
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  this->JoinU = 0;
  this->JoinV = 0;
  this->TwistU = 0;
  this->TwistV = 0;
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  this->ClockwiseOrdering = 0;
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  this->DerivativesAvailable = 1;
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}
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//----------------------------------------------------------------------------//
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vtkParametricHenneberg::~vtkParametricHenneberg() = default;
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//----------------------------------------------------------------------------//
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void vtkParametricHenneberg::Evaluate(double uvw[3], double Pt[3],
                                      double Duvw[9])
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{
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  // Copy the parameters out of the vector, for the sake of convenience.
  double u = uvw[0];
  double v = uvw[1];

  // We're only going to need the u and v partial derivatives.
  // The w partial derivatives are not needed.
  double *Du = Duvw;
  double *Dv = Duvw + 3;

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  // Location of the point. This parametrization was taken from:
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  // http://mathworld.wolfram.com/HennebergsMinimalSurface.html
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  Pt[0] = 2.*sinh(u) * cos(v) - 2. / 3.*sinh(3.*u) * cos(3.*v);
  Pt[1] = 2.*sinh(u) * sin(v) + 2. / 3.*sinh(3.*u) * sin(3.*v);
  Pt[2] = 2.*cosh(2.*u) * cos(2.*v);
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  // The derivative with respect to u:
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  Du[0] = 2.*cosh(u) * cos(v) - 2.*cosh(3.*u) * cos(3.*v);
  Du[1] = 2.*cosh(u) * sin(v) + 2.*cosh(3.*u) * sin(3.*v);
  Du[2] = 4.*sinh(2.*u) * cos(2.*v);
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  // The derivative with respect to v:
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  Dv[0] = -2.*sinh(u) * sin(v) + 2.*sinh(3.*u) * sin(3.*v);
  Dv[1] =  2.*sinh(u) * cos(v) + 2.*sinh(3.*u) * cos(3.*v);
  Dv[2] = -4.*cosh(2.*u) * sin(2.*v);
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}
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//----------------------------------------------------------------------------//
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double vtkParametricHenneberg::EvaluateScalar(double *, double *,
    double *)
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{
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  return 0;
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}
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//----------------------------------------------------------------------------//
void vtkParametricHenneberg::PrintSelf(ostream& os, vtkIndent indent)
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{
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  this->Superclass::PrintSelf(os, indent);
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}