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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricRandomHills.h
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.
=========================================================================*/
/**
* @class vtkParametricRandomHills
* @brief Generate a surface covered with randomly placed hills.
*
* vtkParametricRandomHills generates a surface covered with randomly placed
* hills. Hills will vary in shape and height since the presence
* of nearby hills will contribute to the shape and height of a given hill.
* An option is provided for placing hills on a regular grid on the surface.
* In this case the hills will all have the same shape and height.
*
* For further information about this surface, please consult the
* technical description "Parametric surfaces" in http://www.vtk.org/publications
* in the "VTK Technical Documents" section in the VTk.org web pages.
*
* @par Thanks:
* Andrew Maclean andrew.amaclean@gmail.com for creating and contributing the
* class.
*
*/
#ifndef vtkParametricRandomHills_h
#define vtkParametricRandomHills_h
#include "vtkCommonComputationalGeometryModule.h" // For export macro
#include "vtkParametricFunction.h"
class vtkDoubleArray;
class vtkMinimalStandardRandomSequence;
class VTKCOMMONCOMPUTATIONALGEOMETRY_EXPORT vtkParametricRandomHills : public vtkParametricFunction
{
public:
vtkTypeMacro(vtkParametricRandomHills, vtkParametricFunction);
void PrintSelf(ostream& os, vtkIndent indent) override;
/**
* Return the parametric dimension of the class.
*/
int GetDimension() override { return 2; }
/**
* Construct a surface of random hills with the following parameters:
* MinimumU = -10, MaximumU = 10,
* MinimumV = -10, MaximumV = 10,
* JoinU = 0, JoinV = 0,
* TwistU = 0, TwistV = 0;
* ClockwiseOrdering = 0,
* DerivativesAvailable = 0,
* Number of hills = 30,
* Variance of the hills 2.5 in both x- and y- directions,
* Scaling factor for the variances 1/3 in both x- and y- directions,
* Amplitude of each hill = 2,
* Scaling factor for the amplitude = 1/3,
* RandomSeed = 1,
* AllowRandomGeneration = 1.
*/
static vtkParametricRandomHills* New();
//@{
/**
* Set/Get the number of hills.
* Default is 30.
*/
vtkSetMacro(NumberOfHills, int);
vtkGetMacro(NumberOfHills, int);
//@}
//@{
/**
* Set/Get the hill variance in the x-direction.
* Default is 2.5.
*/
vtkSetMacro(HillXVariance, double);
vtkGetMacro(HillXVariance, double);
//@}
//@{
/**
* Set/Get the hill variance in the y-direction.
* Default is 2.5.
*/
vtkSetMacro(HillYVariance, double);
vtkGetMacro(HillYVariance, double);
//@}
//@{
/**
* Set/Get the hill amplitude (height).
* Default is 2.
*/
vtkSetMacro(HillAmplitude, double);
vtkGetMacro(HillAmplitude, double);
//@}
//@{
/**
* Set/Get the Seed for the random number generator,
* a value of 1 will initialize the random number generator,
* a negative value will initialize it with the system time.
* Default is 1.
*/
vtkSetMacro(RandomSeed, int);
vtkGetMacro(RandomSeed, int);
//@}
//@{
/**
* Set/Get the random generation flag.
* A value of 0 will disable the generation of random hills on the surface
* allowing a reproducible number of identically shaped hills to be
* generated. If zero, then the number of hills used will be the nearest
* perfect square less than or equal to the number of hills.
* For example, selecting 30 hills will result in a 5 X 5 array of
* hills being generated. Thus a square array of hills will be generated.
* Any other value means that the hills will be placed randomly on the
* surface.
* Default is 1.
*/
vtkSetClampMacro(AllowRandomGeneration, vtkTypeBool, 0, 1);
vtkGetMacro(AllowRandomGeneration, vtkTypeBool);
vtkBooleanMacro(AllowRandomGeneration, vtkTypeBool);
//@}
//@{
/**
* Set/Get the scaling factor for the variance in the x-direction.
* Default is 1/3.
*/
vtkSetMacro(XVarianceScaleFactor, double);
vtkGetMacro(XVarianceScaleFactor, double);
//@}
//@{
/**
* Set/Get the scaling factor for the variance in the y-direction.
* Default is 1/3.
*/
vtkSetMacro(YVarianceScaleFactor, double);
vtkGetMacro(YVarianceScaleFactor, double);
//@}
//@{
/**
* Set/Get the scaling factor for the amplitude.
* Default is 1/3.
*/
vtkSetMacro(AmplitudeScaleFactor, double);
vtkGetMacro(AmplitudeScaleFactor, double);
//@}
/**
* Construct a terrain consisting of hills on a 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:
vtkParametricRandomHills();
~vtkParametricRandomHills() override;
// Variables
int NumberOfHills;
double HillXVariance;
double HillYVariance;
double HillAmplitude;
int RandomSeed;
double XVarianceScaleFactor;
double YVarianceScaleFactor;
double AmplitudeScaleFactor;
vtkTypeBool AllowRandomGeneration;
// These variables store the previous values of the above ones.
int previousNumberOfHills;
double previousHillXVariance;
double previousHillYVariance;
double previousHillAmplitude;
int previousRandomSeed;
double previousXVarianceScaleFactor;
double previousYVarianceScaleFactor;
double previousAmplitudeScaleFactor;
int previousAllowRandomGeneration;
private:
vtkParametricRandomHills(const vtkParametricRandomHills&) = delete;
void operator=(const vtkParametricRandomHills&) = delete;
/**
* Initialise the random number generator.
*/
void InitRNG(int RandomSeed);
/**
* Return a random number between 0 and 1.
*/
double Rand(void);
/**
* A random sequence generator.
*/
vtkMinimalStandardRandomSequence* randomSequenceGenerator;
/**
* Generate the centers of the hills, their standard deviations and
* their amplitudes. This function creates a series of vectors representing
* the u, v coordinates of each hill, their variances in the u, v directions
* and their amplitudes.
*/
void MakeTheHillData(void);
/**
* True if any parameters have changed.
*/
bool ParametersChanged();
/**
* Set the previous values of the parameters with the current values.
*/
void CopyParameters();
//@{
/**
* Centers (x,y), variances (x,y) and amplitudes of the hills.
*/
vtkDoubleArray* hillData;
};
//@}
#endif