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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricSuperEllipsoid.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 "vtkParametricSuperEllipsoid.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include <cmath>
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkParametricSuperEllipsoid);
namespace
{
/**
* Calculate sign(x)*(abs(x)^n).
*/
double SgnPower(double x, double n)
{
const double eps = 1.0e-06;
if (x == 0)
{
return 0;
}
if (n == 0)
{
return 1;
}
double sgn = (x < 0) ? -1 : 1;
if (std::abs(x) > eps)
{
return sgn * std::pow(std::abs(x), n);
}
return 0;
}
} // anonymous namespace
//------------------------------------------------------------------------------
vtkParametricSuperEllipsoid::vtkParametricSuperEllipsoid()
: XRadius(1)
, YRadius(1)
, ZRadius(1)
, N1(1)
, N2(1)
{
this->MinimumU = -vtkMath::Pi();
this->MaximumU = vtkMath::Pi();
this->MinimumV = -vtkMath::Pi() / 2.0;
this->MaximumV = vtkMath::Pi() / 2.0;
this->JoinU = 0;
this->JoinV = 0;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 0;
this->DerivativesAvailable = 0;
}
//------------------------------------------------------------------------------
vtkParametricSuperEllipsoid::~vtkParametricSuperEllipsoid() = default;
//------------------------------------------------------------------------------
void vtkParametricSuperEllipsoid::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;
for (int i = 0; i < 3; ++i)
{
Pt[i] = Du[i] = Dv[i] = 0;
}
double cu = cos(u);
double su = sin(u);
double cv = cos(v);
double sv = sin(v);
double tmp = SgnPower(cv, this->N1);
// The point
Pt[0] = this->XRadius * tmp * SgnPower(su, this->N2);
Pt[1] = this->YRadius * tmp * SgnPower(cu, this->N2);
Pt[2] = this->ZRadius * SgnPower(sv, this->N1);
}
//------------------------------------------------------------------------------
double vtkParametricSuperEllipsoid::EvaluateScalar(double*, double*, double*)
{
return 0;
}
//------------------------------------------------------------------------------
void vtkParametricSuperEllipsoid::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
os << indent << "X scale factor: " << this->XRadius << "\n";
os << indent << "Y scale factor: " << this->YRadius << "\n";
os << indent << "Z scale factor: " << this->ZRadius << "\n";
os << indent << "Squareness in the z-axis: " << this->N1 << "\n";
os << indent << "Squareness in the x-y plane: " << this->N2 << "\n";
}
VTK_ABI_NAMESPACE_END
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