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// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
// SPDX-License-Identifier: BSD-3-Clause
/**
* @class vtkParametricPluckerConoid
* @brief Generate Plucker's conoid surface.
*
* vtkParametricPluckerConoid generates Plucker's conoid surface parametrically.
* Plucker's conoid is a ruled surface, named after Julius Plucker. It is
* possible to set the number of folds in this class via the parameter 'N'.
*
* For more information, see the Wikipedia page on
* <a href="https://en.wikipedia.org/wiki/Pl%c3%bccker%27s_conoid">Plucker's Conoid</a>.
* @warning
* I haven't done any special checking on the number of folds parameter, N.
* @par Thanks:
* Tim Meehan
*/
#ifndef vtkParametricPluckerConoid_h
#define vtkParametricPluckerConoid_h
#include "vtkCommonComputationalGeometryModule.h" // For export macro
#include "vtkParametricFunction.h"
VTK_ABI_NAMESPACE_BEGIN
class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkParametricPluckerConoid
: public vtkParametricFunction
{
public:
vtkTypeMacro(vtkParametricPluckerConoid, vtkParametricFunction);
void PrintSelf(ostream& os, vtkIndent indent) override;
///@{
/**
* This is the number of folds in the conoid.
*/
vtkGetMacro(N, int);
vtkSetMacro(N, int);
///@}
/**
* Construct Plucker's conoid surface with the following parameters:
* (MinimumU, MaximumU) = (0., 3.),
* (MinimumV, MaximumV) = (0., 2*pi),
* JoinU = 0, JoinV = 0,
* TwistU = 0, TwistV = 0;
* ClockwiseOrdering = 0,
* DerivativesAvailable = 1,
*/
static vtkParametricPluckerConoid* New();
/**
* Return the parametric dimension of the class.
*/
int GetDimension() override { return 2; }
/**
* Plucker's conoid surface.
* This function performs the mapping \f$f(u,v) \rightarrow (x,y,x)\f$, returning it
* as Pt. It also returns the partial derivatives Du and Dv.
* \f$Pt = (x, y, z), D_u\vec{f} = (dx/du, dy/du, dz/du), D_v\vec{f} = (dx/dv, dy/dv, dz/dv)\f$ .
* Then the normal is \f$N = D_u\vec{f} \times D_v\vec{f}\f$ .
*/
void Evaluate(double uvw[3], double Pt[3], double Duvw[9]) override;
/**
* Calculate a user defined scalar using one or all of uvw, Pt, Duvw.
* This method simply returns 0.
*/
double EvaluateScalar(double uvw[3], double Pt[3], double Duvw[9]) override;
protected:
vtkParametricPluckerConoid();
~vtkParametricPluckerConoid() override;
// Variables
int N;
private:
vtkParametricPluckerConoid(const vtkParametricPluckerConoid&) = delete;
void operator=(const vtkParametricPluckerConoid&) = delete;
};
VTK_ABI_NAMESPACE_END
#endif
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