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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricDini.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 "vtkParametricDini.h"
#include "vtkObjectFactory.h"
#include "vtkMath.h"
vtkStandardNewMacro(vtkParametricDini);
//----------------------------------------------------------------------------
vtkParametricDini::vtkParametricDini()
{
// Preset triangulation parameters
this->MinimumU = 0;
this->MinimumV = 0.001;
this->MaximumU = 4*vtkMath::Pi();
this->MaximumV = 2.0;
this->JoinU = 0;
this->JoinV = 0;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 1;
this->DerivativesAvailable = 1;
this->A = 1.0;
this->B = 0.2;
}
//----------------------------------------------------------------------------
vtkParametricDini::~vtkParametricDini()
{
}
//----------------------------------------------------------------------------
void vtkParametricDini::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 cv = cos(v);
double su = sin(u);
double sv = sin(v);
// The point
Pt[0] = this->A*cu*sv;
Pt[1] = this->A*su*sv;
Pt[2] = this->A*(cos(v)+log(tan((v/2))))+this->B*u;
//The derivatives are:
Du[0] = -Pt[1];
Dv[0] = this->A*cu*cv;
Du[1] = Pt[0];
Dv[1] = this->A*su*cv;
Du[2] = this->B;
double tv2 = tan(0.5*v);
if ( tv2 != 0 )
Dv[2] = this->A*(-sv+(0.5+0.5*tv2*tv2)/tv2);
else // Avoid division by zero at the singularity.
Dv[2] = this->A*(-sv+0.00005);
}
//----------------------------------------------------------------------------
double vtkParametricDini::EvaluateScalar(double *, double *, double *)
{
return 0;
}
//----------------------------------------------------------------------------
void vtkParametricDini::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os,indent);
os << indent << "A: " << this->A << "\n";
os << indent << "B: " << this->B << "\n";
}
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