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vtkParametricConicSpiral.cxx
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vtkParametricConicSpiral.cxx
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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricConicSpiral.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 "vtkParametricConicSpiral.h"
#include "vtkObjectFactory.h"
#include "vtkMath.h"
vtkStandardNewMacro(vtkParametricConicSpiral);
//----------------------------------------------------------------------------
vtkParametricConicSpiral::vtkParametricConicSpiral()
{
// Preset triangulation parameters
this->MinimumU = 0;
this->MaximumU = 2.0 * vtkMath::Pi();
this->MinimumV = 0;
this->MaximumV = 2.0 * vtkMath::Pi();
this->JoinU = 0;
this->JoinV = 0;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 0;
this->DerivativesAvailable = 1;
// Conic Spiral
this->A = 0.2;
this->B = 1;
this->C = 0.1;
this->N = 2;
}
//----------------------------------------------------------------------------
vtkParametricConicSpiral::~vtkParametricConicSpiral()
{
}
//----------------------------------------------------------------------------
void vtkParametricConicSpiral::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;
double inv2pi = 1.0 / (2.0 * vtkMath::Pi());
double cnv = cos(this->N * v);
double snv = sin(this->N * v);
double cu = cos(u);
double su = sin(u);
// The point
Pt[0] = this->A * (1 - v * inv2pi) * cnv * (1 + cu) + this->C * cnv;
Pt[1] = this->A * (1 - v * inv2pi) * snv * (1 + cu) + this->C * snv;
Pt[2] = this->B * v * inv2pi + this->A * (1 - v * inv2pi) * su;
// The derivatives are:
Du[0] = -this->A * (1 - v * inv2pi) * cnv * su;
Dv[0] = -this->A * inv2pi * cnv * (1 + cu) - this->A *
(1 - v * inv2pi) * snv * this->N * (1 + cu) - this->C * snv * N;
Du[1] = -this->A * (1 - v * inv2pi) * snv * su;
Dv[1] = -this->A * inv2pi * snv * (1 + cu) + this->A *
(1 - v * inv2pi) * cnv * this->N * (1 + cu) + C * cnv * this->N;
Du[2] = this->A * (1 - v * inv2pi) * cu;
Dv[2] = this->B * inv2pi - this->A * inv2pi * su;
}
//----------------------------------------------------------------------------
double vtkParametricConicSpiral::EvaluateScalar(double *, double *,
double *)
{
return 0;
}
//----------------------------------------------------------------------------
void vtkParametricConicSpiral::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
os << indent << "A: " << this->A << "\n";
os << indent << "B: " << this->B << "\n";
os << indent << "C: " << this->C << "\n";
os << indent << "N: " << this->N << "\n";
}