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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricBour.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 "vtkParametricBour.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkParametricBour);
//----------------------------------------------------------------------------//
vtkParametricBour::vtkParametricBour()
{
// Preset triangulation parameters
this->MinimumU = 0.;
this->MaximumU = 1.0;
this->MinimumV = 0.;
this->MaximumV = 4. * vtkMath::Pi();
this->JoinU = 0;
this->JoinV = 0;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 0;
this->DerivativesAvailable = 1;
}
//----------------------------------------------------------------------------//
vtkParametricBour::~vtkParametricBour() = default;
//----------------------------------------------------------------------------//
void vtkParametricBour::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 taken from:
// https://en.wikipedia.org/wiki/Bour%27s_minimal_surface
Pt[0] = u * cos(v) - u * u * cos(2. * v) / 2.;
Pt[1] = -u * sin(v) * (u * cos(v) + 1.);
Pt[2] = 4. / 3. * pow(u, 1.5) * cos(1.5 * v);
// The derivative with respect to u:
Du[0] = cos(v) - u * cos(2 * v);
Du[1] = -sin(v) * (1. + 2. * u * cos(v));
Du[2] = 2 * sqrt(u) * cos(1.5 * v);
// The derivative with respect to v:
Dv[0] = u * (2. * u * cos(v) - 1.) * sin(v);
Dv[1] = -u * (cos(v) + u * cos(2. * v));
Dv[2] = -2. * pow(u, 1.5) * sin(1.5 * v);
}
//----------------------------------------------------------------------------//
double vtkParametricBour::EvaluateScalar(double*, double*, double*)
{
return 0;
}
//----------------------------------------------------------------------------//
void vtkParametricBour::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
VTK_ABI_NAMESPACE_END
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