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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 "vtkObjectFactory.h"
#include "vtkMath.h"
#include <math.h>
vtkStandardNewMacro(vtkParametricSuperEllipsoid);
//----------------------------------------------------------------------------
vtkParametricSuperEllipsoid::vtkParametricSuperEllipsoid() :
XRadius(1)
, YRadius(1)
, ZRadius(1)
, N1(1)
, N2(1)
{
this->MinimumU = 0;
this->MinimumV = 0;
this->MaximumV = vtkMath::Pi();
this->MaximumU = 2.0*vtkMath::Pi();
this->JoinU = 1;
this->JoinV = 0;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 1;
this->DerivativesAvailable = 0;
}
//----------------------------------------------------------------------------
vtkParametricSuperEllipsoid::~vtkParametricSuperEllipsoid()
{
}
//----------------------------------------------------------------------------
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 = this->Power(sv,N1);
// The point
Pt[0] = this->XRadius * tmp * this->Power(cu,this->N2);
Pt[1] = this->YRadius * tmp * this->Power(su,this->N2);
Pt[2] = this->ZRadius * this->Power(cv,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";
}
//----------------------------------------------------------------------------
double vtkParametricSuperEllipsoid::Power ( double x, double n )
{
if ( x == 0 )
{
return 0;
}
else if ( x < 0 )
{
return -pow(-x,n);
}
else
{
return pow(x,n);
}
}
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