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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricPluckerConoid.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 "vtkParametricPluckerConoid.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkParametricPluckerConoid);
//----------------------------------------------------------------------------//
vtkParametricPluckerConoid::vtkParametricPluckerConoid()
: N(2)
{
// Preset triangulation parameters
this->MinimumU = 0.;
this->MaximumU = 3.;
this->MinimumV = 0.;
this->MaximumV = 2. * vtkMath::Pi();
this->JoinU = 0;
this->JoinV = 0;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 0;
this->DerivativesAvailable = 1;
}
//----------------------------------------------------------------------------//
vtkParametricPluckerConoid::~vtkParametricPluckerConoid() = default;
//----------------------------------------------------------------------------//
void vtkParametricPluckerConoid::Evaluate(double uvw[3], double Pt[3], double Duvw[9])
{
// 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;
// Location of the point, this parametrization was take from:
// https://en.wikipedia.org/wiki/Pl%c3%bccker%27s_conoid
Pt[0] = u * sin(v);
Pt[1] = u * cos(v);
Pt[2] = sin(this->N * v);
// The derivative with respect to u:
Du[0] = sin(v);
Du[1] = cos(v);
Du[2] = 0.;
// The derivative with respect to v:
Dv[0] = u * cos(v);
Dv[1] = -u * sin(v);
Dv[2] = this->N * cos(this->N * v);
}
//----------------------------------------------------------------------------//
double vtkParametricPluckerConoid::EvaluateScalar(double*, double*, double*)
{
return 0;
}
//----------------------------------------------------------------------------//
void vtkParametricPluckerConoid::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
VTK_ABI_NAMESPACE_END
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