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82 lines
2.6 KiB
C++
82 lines
2.6 KiB
C++
/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkParametricCatalanMinimal.cxx
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Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
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All rights reserved.
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See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
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This software is distributed WITHOUT ANY WARRANTY; without even
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the above copyright notice for more information.
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=========================================================================*/
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#include "vtkParametricCatalanMinimal.h"
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#include "vtkObjectFactory.h"
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#include "vtkMath.h"
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vtkStandardNewMacro(vtkParametricCatalanMinimal);
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//----------------------------------------------------------------------------//
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vtkParametricCatalanMinimal::vtkParametricCatalanMinimal()
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{
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// Preset triangulation parameters
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this->MinimumU = -4.*vtkMath::Pi();
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this->MinimumV = -1.5;
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this->MaximumU = 4.*vtkMath::Pi();
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this->MaximumV = 1.5;
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this->JoinU = 0;
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this->JoinV = 0;
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this->TwistU = 0;
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this->TwistV = 0;
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this->ClockwiseOrdering = 1;
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this->DerivativesAvailable = 1;
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}
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//----------------------------------------------------------------------------//
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vtkParametricCatalanMinimal::~vtkParametricCatalanMinimal()
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{
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}
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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.
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double u = uvw[0];
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double v = uvw[1];
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// We're only going to need the u and v partial derivatives.
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// The w partial derivatives are not needed.
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double *Du = Duvw;
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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);
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Pt[1] = 1. - cos(u)*cosh(v);
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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);
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Du[1] = cosh(v)*sin(u);
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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);
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Dv[1] = -cos(u)*sinh(v);
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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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}
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