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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricPseudosphere.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 "vtkParametricPseudosphere.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkParametricPseudosphere);
//----------------------------------------------------------------------------//
vtkParametricPseudosphere::vtkParametricPseudosphere()
{
// Preset triangulation parameters
this->MinimumU = -5.0;
this->MaximumU = 5.0;
this->MinimumV = -vtkMath::Pi();
this->MaximumV = vtkMath::Pi();
this->JoinU = 0;
this->JoinV = 1;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 0;
this->DerivativesAvailable = 1;
}
//----------------------------------------------------------------------------//
vtkParametricPseudosphere::~vtkParametricPseudosphere() = default;
//----------------------------------------------------------------------------//
void vtkParametricPseudosphere::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;
// Instead of a bunch of calls to the trig library,
// just call it once and store the results.
double cosv = cos(v);
double sinv = sin(v);
double sechu = 1. / cosh(u);
double tanhu = tanh(u);
// Location of the point. This parametrization was taken from:
// http://mathworld.wolfram.com/Pseudosphere.html
Pt[0] = sechu * cosv;
Pt[1] = sechu * sinv;
Pt[2] = u - tanhu;
// The derivative with respect to u:
Du[0] = -sechu * tanhu * cosv;
Du[1] = -sechu * tanhu * sinv;
Du[2] = 1. - sechu * sechu;
// The derivative with respect to v:
Dv[0] = -sechu * sinv;
Dv[1] = sechu * cosv;
Dv[2] = 0.;
}
//----------------------------------------------------------------------------//
double vtkParametricPseudosphere::EvaluateScalar(double*, double*, double*)
{
return 0;
}
//----------------------------------------------------------------------------//
void vtkParametricPseudosphere::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
VTK_ABI_NAMESPACE_END
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