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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricMobius.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 "vtkParametricMobius.h"
#include "vtkObjectFactory.h"
#include "vtkMath.h"
vtkStandardNewMacro(vtkParametricMobius);
//----------------------------------------------------------------------------
vtkParametricMobius::vtkParametricMobius()
{
this->MinimumU = 0;
this->MinimumV = -1;
this->MaximumU = 2 * vtkMath::Pi();
this->MaximumV = 1;
this->JoinU = 1;
this->JoinV = 0;
this->TwistU = 1;
this->TwistV = 0;
this->ClockwiseOrdering = 1;
this->DerivativesAvailable = 1;
this->Radius = 1;
}
//----------------------------------------------------------------------------
vtkParametricMobius::~vtkParametricMobius()
{
}
//----------------------------------------------------------------------------
void vtkParametricMobius::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;
double cu = cos(u);
double cu2 = cos( u / 2 );
double su = sin(u);
double su2 = sin( u / 2 );
double t = this->Radius - v * su2;
// The point
Pt[0] = t * su;
Pt[1] = t * cu;
Pt[2] = v * cu2;
//The derivatives are:
Du[0] = -v*cu2*su/2+Pt[1];
Du[1] = -v*cu2*cu/2-Pt[0];
Du[2] = -v*su2/2;
Dv[0] = -su2*su;
Dv[1] = -su2*cu;
Dv[2] = cu2;
}
//----------------------------------------------------------------------------
double vtkParametricMobius::EvaluateScalar(double *, double*, double *)
{
return 0;
}
//----------------------------------------------------------------------------
void vtkParametricMobius::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os,indent);
os << indent << "Radius: " << this->Radius << "\n";
}
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