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// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
// SPDX-License-Identifier: BSD-3-Clause
/**
* @class vtkParametricDini
* @brief Generate Dini's surface.
*
* vtkParametricDini generates Dini's surface.
* Dini's surface is a surface that possesses constant negative
* Gaussian curvature
*
* For further information about this surface, please consult
* https://en.wikipedia.org/wiki/Dini%27s_surface
*
* @par Thanks:
* Andrew Maclean andrew.amaclean@gmail.com for creating and contributing the
* class.
*
*/
#ifndef vtkParametricDini_h
#define vtkParametricDini_h
#include "vtkCommonComputationalGeometryModule.h" // For export macro
#include "vtkParametricFunction.h"
VTK_ABI_NAMESPACE_BEGIN
class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkParametricDini : public vtkParametricFunction
{
public:
vtkTypeMacro(vtkParametricDini, vtkParametricFunction);
void PrintSelf(ostream& os, vtkIndent indent) override;
/**
* Construct Dini's surface with the following parameters:
* MinimumU = 0, MaximumU = 4*Pi,
* MinimumV = 0.001, MaximumV = 2,
* JoinU = 0, JoinV = 0,
* TwistU = 0, TwistV = 0,
* ClockwiseOrdering = 0,
* DerivativesAvailable = 1
* A = 1, B = 0.2
*/
static vtkParametricDini* New();
/**
* Return the parametric dimension of the class.
*/
int GetDimension() override { return 2; }
///@{
/**
* Set/Get the scale factor.
* See the definition in Parametric surfaces referred to above.
* Default is 1.
*/
vtkSetMacro(A, double);
vtkGetMacro(A, double);
///@}
///@{
/**
* Set/Get the scale factor.
* See the definition in Parametric surfaces referred to above.
* Default is 0.2
*/
vtkSetMacro(B, double);
vtkGetMacro(B, double);
///@}
/**
* Dini's 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$Pt = (x, y, z), Du = (dx/du, dy/du, dz/du), Dv = (dx/dv, dy/dv, dz/dv)\f$ .
* Then the normal is \f$N = Du X Dv\f$ .
*/
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.
* uvw are the parameters with Pt being the cartesian point,
* Duvw are the derivatives of this point with respect to u, v and w.
* Pt, Duvw are obtained from Evaluate().
* This function is only called if the ScalarMode has the value
* vtkParametricFunctionSource::SCALAR_FUNCTION_DEFINED
* If the user does not need to calculate a scalar, then the
* instantiated function should return zero.
*/
double EvaluateScalar(double uvw[3], double Pt[3], double Duvw[9]) override;
protected:
vtkParametricDini();
~vtkParametricDini() override;
// Variables
double A;
double B;
private:
vtkParametricDini(const vtkParametricDini&) = delete;
void operator=(const vtkParametricDini&) = delete;
};
VTK_ABI_NAMESPACE_END
#endif
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