vtkParametricCatalanMinimal.cxx 2.65 KB
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/*=========================================================================

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

vtkStandardNewMacro(vtkParametricCatalanMinimal);
//----------------------------------------------------------------------------//
vtkParametricCatalanMinimal::vtkParametricCatalanMinimal()
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{
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  // Preset triangulation parameters
  this->MinimumU = -4.*vtkMath::Pi();
  this->MaximumU =  4.*vtkMath::Pi();
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  this->MinimumV = -1.5;
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  this->MaximumV = 1.5;

  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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vtkParametricCatalanMinimal::~vtkParametricCatalanMinimal() = default;
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//----------------------------------------------------------------------------//
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void vtkParametricCatalanMinimal::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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  // https://www.math.hmc.edu/~gu/curves_and_surfaces/surfaces/catalan.html
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  Pt[0] = u  - cosh(v) * sin(u);
  Pt[1] = 1. - cos(u) * cosh(v);
  Pt[2] = 4.*sin(u / 2.) * sinh(v / 2.);
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  // The derivative with respect to u:
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  Du[0] = 1. - cosh(v) * cos(u);
  Du[1] = cosh(v) * sin(u);
  Du[2] = 2.*cos(u / 2.) * sinh(v / 2.);
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  // The derivative with respect to v:
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  Dv[0] = sin(u) * sinh(v);
  Dv[1] = -cos(u) * sinh(v);
  Dv[2] = 2.*sin(u / 2.) * cosh(v / 2.);
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}
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//----------------------------------------------------------------------------//
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double vtkParametricCatalanMinimal::EvaluateScalar(double *, double *,
    double *)
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{
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  return 0;
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}
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//----------------------------------------------------------------------------//
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void vtkParametricCatalanMinimal::PrintSelf(ostream& os,
    vtkIndent indent)
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{
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  this->Superclass::PrintSelf(os, indent);
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}