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90 lines
2.7 KiB
90 lines
2.7 KiB
/*=========================================================================
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Program: Visualization Toolkit
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Module: $RCSfile: vtkParametricFigure8Klein.cxx,v $
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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 "vtkParametricFigure8Klein.h"
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#include "vtkObjectFactory.h"
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#include "vtkMath.h"
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vtkCxxRevisionMacro(vtkParametricFigure8Klein, "$Revision: 1.3 $");
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vtkStandardNewMacro(vtkParametricFigure8Klein);
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//----------------------------------------------------------------------------
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vtkParametricFigure8Klein::vtkParametricFigure8Klein()
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{
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// Preset triangulation parameters
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this->MinimumU = -vtkMath::Pi();
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this->MinimumV = -vtkMath::Pi();
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this->MaximumU = vtkMath::Pi();
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this->MaximumV = vtkMath::Pi();
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this->JoinU = 1;
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this->JoinV = 1;
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this->TwistU = 1;
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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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this->Radius = 1;
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}
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//----------------------------------------------------------------------------
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vtkParametricFigure8Klein::~vtkParametricFigure8Klein()
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{
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}
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//----------------------------------------------------------------------------
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void vtkParametricFigure8Klein::Evaluate(double uvw[3], double Pt[3], double Duvw[9])
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{
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double u = uvw[0];
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double v = uvw[1];
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double *Du = Duvw;
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double *Dv = Duvw + 3;
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double cu = cos(u);
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double cu2 = cos(u / 2);
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double su = sin(u);
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double su2 = sin(u / 2);
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double cv = cos(v);
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double c2v = cos(2 * v);
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double s2v = sin(2 * v);
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double sv = sin(v);
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double t = this->Radius + sv * cu2 - s2v * su2 / 2;
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// The point
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Pt[0] = cu * t;
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Pt[1] = su * t;
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Pt[2] = su2 * sv + cu2 * s2v / 2;
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//The derivatives are:
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Du[0] = -Pt[1] - cu * ( 2 * sv * su2 + s2v * cu2 ) / 4;
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Du[1] = Pt[0] - su * ( 2 * sv * su2 + s2v * cu2 ) / 4;
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Du[2] = cu2 * sv / 2 - su2 * s2v / 4;
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Dv[0] = cu * ( cv * cu2 - c2v * su2);
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Dv[1] = su * ( cv * cu2 - c2v * su2);
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Dv[2] = su2 * cv / 2 + cu2 * c2v;
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}
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//----------------------------------------------------------------------------
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double vtkParametricFigure8Klein::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 vtkParametricFigure8Klein::PrintSelf(ostream& os, vtkIndent indent)
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{
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this->Superclass::PrintSelf(os,indent);
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os << indent << "Radius: " << this->Radius << "\n";
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}
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