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// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
// SPDX-License-Identifier: BSD-3-Clause
#include "vtkParametricKlein.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkParametricKlein);
//------------------------------------------------------------------------------
vtkParametricKlein::vtkParametricKlein()
{
// Preset triangulation parameters
this->MinimumU = 0;
this->MaximumU = vtkMath::Pi();
this->MinimumV = 0;
this->MaximumV = 2.0 * vtkMath::Pi();
this->JoinU = 0;
this->JoinV = 1;
this->TwistU = 0;
this->TwistV = 0;
this->ClockwiseOrdering = 0;
this->DerivativesAvailable = 1;
}
//------------------------------------------------------------------------------
vtkParametricKlein::~vtkParametricKlein() = default;
//------------------------------------------------------------------------------
void vtkParametricKlein::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 cu = cos(u);
double su = sin(u);
double cv = cos(v);
double sv = sin(v);
// clang-format off
double subX = 3 * cv + 5 * su * cv * cu - 30 * su - 60 * su * pow(cu, 6)
+ 90 * su * pow(cu, 4);
double subY = 80 * cv * pow(cu, 7) * su + 48 * cv * pow(cu, 6)
- 80 * cv * pow(cu, 5) * su
- 48 * cv * pow(cu, 4) - 5 * cv * pow(cu, 3) * su - 3 * cv * pow(cu,
2) +
5 * su * cv * cu + 3 * cv - 60 * su;
double subZ = 3 + 5 * su * cu;
// The point
Pt[0] = -2.0 / 15.0 * cu * subX;
Pt[1] = -1.0 / 15.0 * su * subY;
Pt[2] = 2.0 / 15.0 * sv * subZ;
// The derivatives
Du[0] = 2.0 / 15.0 * su * subX - 2.0 / 15.0 * cu * (5.0 * cv * pow(cu,
2)
- 5.0 * pow(su, 2) * cv - 30.0 * cu - 60.0 * pow(cu, 7)
+ 360.0 * pow(su, 2) * pow(cu, 5)
+ 90.0 * pow(cu, 5) - 360.0 * pow(su, 2) * pow(cu, 3));
Dv[0] = -2.0 / 15.0 * cu * (-3.0 * sv - 5.0 * su * sv * cu);
Du[1] = -1.0 / 15.0 * cu * subY - 1.0 / 15.0 * su * (
-560.0 * cv * pow(cu, 6) * pow(su, 2)
+ 80.0 * cv * pow(cu, 8) - 288 * cv * pow(cu, 5) * su +
400 * cv * pow(cu, 4) * pow(su, 2)
- 80.0 * cv * pow(cu, 6) + 192 * cv * pow(cu, 3) * su
+ 15.0 * pow(su, 2) * cv * pow(cu, 2)
- 5.0 * cv * pow(cu, 4) + 6.0 * su * cv * cu + 5.0 * cv * pow(cu, 2)
- 5.0 * pow(su, 2) * cv - 60.0 * cu);
Dv[1] = -1.0 / 15.0 * su * (-80.0 * sv * pow(cu,
7) * su - 48.0 * sv * pow(cu, 6)
+ 80.0 * sv * pow(cu, 5) * su + 48.0 * sv * pow(cu,
4) + 5.0 * sv * pow(cu, 3) * su
+ 3.0 * sv * pow(cu, 2) - 5.0 * su * sv * cu - 3.0 * sv);
Du[2] = 2.0 / 15.0 * sv * (5.0 * pow(cu, 2) - 5.0 * pow(su, 2));
Dv[2] = 2.0 / 15.0 * cv * subZ;
// clang-format on
}
//------------------------------------------------------------------------------
double vtkParametricKlein::EvaluateScalar(double*, double*, double*)
{
return 0;
}
//------------------------------------------------------------------------------
void vtkParametricKlein::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
VTK_ABI_NAMESPACE_END
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