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Program: Visualization Toolkit
Module: vtkStreamTracer.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.
=========================================================================*/
// .NAME vtkStreamTracer - Streamline generator
// .SECTION Description
// vtkStreamTracer is a filter that integrates a vector field to generate
// streamlines. The integration is performed using a specified integrator,
// by default Runge-Kutta2.
//
// vtkStreamTracer produces polylines as the output, with each cell (i.e.,
// polyline) representing a streamline. The attribute values associated
// with each streamline are stored in the cell data, whereas those
// associated with streamline-points are stored in the point data.
//
// vtkStreamTracer supports forward (the default), backward, and combined
// (i.e., BOTH) integration. The length of a streamline is governed by
// specifying a maximum value either in physical arc length or in (local)
// cell length. Otherwise, the integration terminates upon exiting the
// flow field domain, or if the particle speed is reduced to a value less
// than a specified terminal speed, or when a maximum number of steps is
// completed. The specific reason for the termination is stored in a cell
// array named ReasonForTermination.
//
// Note that normalized vectors are adopted in streamline integration,
// which achieves high numerical accuracy/smoothness of flow lines that is
// particularly guranteed for Runge-Kutta45 with adaptive step size and
// error control). In support of this feature, the underlying step size is
// ALWAYS in arc length unit (LENGTH_UNIT) while the 'real' time interval
// (virtual for steady flows) that a particle actually takes to trave in a
// single step is obtained by dividing the arc length by the LOCAL speed.
// The overall elapsed time (i.e., the life span) of the particle is the
// sum of those individual step-wise time intervals.
//
// The quality of streamline integration can be controlled by setting the
// initial integration step (InitialIntegrationStep), particularly for
// Runge-Kutta2 and Runge-Kutta4 (with a fixed step size), and in the case
// of Runge-Kutta45 (with an adaptive step size and error control) the
// minimum integration step, the maximum integration step, and the maximum
// error. These steps are in either LENGTH_UNIT or CELL_LENGTH_UNIT while
// the error is in physical arc length. For the former two integrators,
// there is a trade-off between integration speed and streamline quality.
//
// The integration time, vorticity, rotation and angular velocity are stored
// in point data arrays named "IntegrationTime", "Vorticity", "Rotation" and
// "AngularVelocity", respectively (vorticity, rotation and angular velocity
// are computed only when ComputeVorticity is on). All point data attributes
// in the source dataset are interpolated on the new streamline points.
//
// vtkStreamTracer supports integration through any type of dataset. Thus if
// the dataset contains 2D cells like polygons or triangles, the integration
// is constrained to lie on the surface defined by 2D cells.
//
// The starting point, or the so-called 'seed', of a streamline may be set
// in two different ways. Starting from global x-y-z "position" allows you
// to start a single trace at a specified x-y-z coordinate. If you specify
// a source object, traces will be generated from each point in the source
// that is inside the dataset.
//
// .SECTION See Also
// vtkRibbonFilter vtkRuledSurfaceFilter vtkInitialValueProblemSolver
// vtkRungeKutta2 vtkRungeKutta4 vtkRungeKutta45 vtkTemporalStreamTracer
// vtkAbstractInterpolatedVelocityField vtkInterpolatedVelocityField
// vtkCellLocatorInterpolatedVelocityField
//
#ifndef __vtkStreamTracer_h
#define __vtkStreamTracer_h
#include "vtkPolyDataAlgorithm.h"
#include "vtkInitialValueProblemSolver.h" // Needed for constants
class vtkCompositeDataSet;
class vtkDataArray;
class vtkDoubleArray;
class vtkExecutive;
class vtkGenericCell;
class vtkIdList;
class vtkIntArray;
class vtkAbstractInterpolatedVelocityField;
class VTK_GRAPHICS_EXPORT vtkStreamTracer : public vtkPolyDataAlgorithm
{
public:
vtkTypeMacro(vtkStreamTracer,vtkPolyDataAlgorithm);
void PrintSelf(ostream& os, vtkIndent indent);
// Description:
// Construct object to start from position (0,0,0), with forward
// integration, terminal speed 1.0E-12, vorticity computation on,
// integration step size 0.5 (in cell length unit), maximum number
// of steps 2000, using Runge-Kutta2, and maximum propagation 1.0
// (in arc length unit).
static vtkStreamTracer *New();
// Description:
// Specify the starting point (seed) of a streamline in the global
// coordinate system. Search must be performed to find the initial cell
// from which to start integration.
vtkSetVector3Macro(StartPosition, double);
vtkGetVector3Macro(StartPosition, double);
// Description:
// Specify the source object used to generate starting points (seeds).
// Old style. Do not use.
void SetSource(vtkDataSet *source);
vtkDataSet *GetSource();
// Description:
// Specify the source object used to generate starting points (seeds).
// New style.
void SetSourceConnection(vtkAlgorithmOutput* algOutput);
//BTX
// The previously-supported TIME_UNIT is excluded in this current
// enumeration definition because the underlying step size is ALWAYS in
// arc length unit (LENGTH_UNIT) while the 'real' time interval (virtual
// for steady flows) that a particle actually takes to trave in a single
// step is obtained by dividing the arc length by the LOCAL speed. The
// overall elapsed time (i.e., the life span) of the particle is the sum
// of those individual step-wise time intervals. The arc-length-to-time
// convertion only occurs for vorticity computation and for generating a
// point data array named 'IntegrationTime'.
enum Units
{
LENGTH_UNIT = 1,
CELL_LENGTH_UNIT = 2
};
enum Solvers
{
RUNGE_KUTTA2,
RUNGE_KUTTA4,
RUNGE_KUTTA45,
NONE,
UNKNOWN
};
enum ReasonForTermination
{
OUT_OF_DOMAIN = vtkInitialValueProblemSolver::OUT_OF_DOMAIN,
NOT_INITIALIZED = vtkInitialValueProblemSolver::NOT_INITIALIZED ,
UNEXPECTED_VALUE = vtkInitialValueProblemSolver::UNEXPECTED_VALUE,
OUT_OF_LENGTH = 4,
OUT_OF_STEPS = 5,
STAGNATION = 6
};
//ETX
// Description:
// Set/get the integrator type to be used for streamline generation.
// The object passed is not actually used but is cloned with
// NewInstance in the process of integration (prototype pattern).
// The default is Runge-Kutta2. The integrator can also be changed
// using SetIntegratorType. The recognized solvers are:
// RUNGE_KUTTA2 = 0
// RUNGE_KUTTA4 = 1
// RUNGE_KUTTA45 = 2
void SetIntegrator(vtkInitialValueProblemSolver *);
vtkGetObjectMacro ( Integrator, vtkInitialValueProblemSolver );
void SetIntegratorType(int type);
int GetIntegratorType();
void SetIntegratorTypeToRungeKutta2()
{this->SetIntegratorType(RUNGE_KUTTA2);};
void SetIntegratorTypeToRungeKutta4()
{this->SetIntegratorType(RUNGE_KUTTA4);};
void SetIntegratorTypeToRungeKutta45()
{this->SetIntegratorType(RUNGE_KUTTA45);};
// Description:
// Set the velocity field interpolator type to the one involving
// a dataset point locator.
void SetInterpolatorTypeToDataSetPointLocator();
// Description:
// Set the velocity field interpolator type to the one involving
// a cell locator.
void SetInterpolatorTypeToCellLocator();
// Description:
// Specify the maximum length of a streamline expressed in LENGTH_UNIT.
vtkSetMacro(MaximumPropagation, double);
vtkGetMacro(MaximumPropagation, double);
// Description:
// Specify a uniform integration step unit for MinimumIntegrationStep,
// InitialIntegrationStep, and MaximumIntegrationStep. NOTE: The valid
// unit is now limited to only LENGTH_UNIT (1) and CELL_LENGTH_UNIT (2),
// EXCLUDING the previously-supported TIME_UNIT.
void SetIntegrationStepUnit( int unit );
int GetIntegrationStepUnit() { return this->IntegrationStepUnit; }
// Description:
// Specify the Initial step size used for line integration, expressed in:
// LENGTH_UNIT = 1
// CELL_LENGTH_UNIT = 2
// (either the starting size for an adaptive integrator, e.g., RK45,
// or the constant / fixed size for non-adaptive ones, i.e., RK2 and RK4)
vtkSetMacro(InitialIntegrationStep, double);
vtkGetMacro(InitialIntegrationStep, double);
// Description:
// Specify the Minimum step size used for line integration, expressed in:
// LENGTH_UNIT = 1
// CELL_LENGTH_UNIT = 2
// (Only valid for an adaptive integrator, e.g., RK45)
vtkSetMacro(MinimumIntegrationStep, double);
vtkGetMacro(MinimumIntegrationStep, double);
// Description:
// Specify the Maximum step size used for line integration, expressed in:
// LENGTH_UNIT = 1
// CELL_LENGTH_UNIT = 2
// (Only valid for an adaptive integrator, e.g., RK45)
vtkSetMacro(MaximumIntegrationStep, double);
vtkGetMacro(MaximumIntegrationStep, double);
// Description
// Specify the maximum error tolerated throughout streamline integration.
vtkSetMacro(MaximumError, double);
vtkGetMacro(MaximumError, double);
// Description
// Specify the maximum number of steps for integrating a streamline.
vtkSetMacro(MaximumNumberOfSteps, vtkIdType);
vtkGetMacro(MaximumNumberOfSteps, vtkIdType);
// Description
// Specify the terminal speed value, below which integration is terminated.
vtkSetMacro(TerminalSpeed, double);
vtkGetMacro(TerminalSpeed, double);
//BTX
enum
{
FORWARD,
BACKWARD,
BOTH
};
enum
{
INTERPOLATOR_WITH_DATASET_POINT_LOCATOR,
INTERPOLATOR_WITH_CELL_LOCATOR
};
//ETX
// Description:
// Specify whether the streamline is integrated in the upstream or
// downstream direction.
vtkSetClampMacro(IntegrationDirection, int, FORWARD, BOTH);
vtkGetMacro(IntegrationDirection, int);
void SetIntegrationDirectionToForward()
{this->SetIntegrationDirection(FORWARD);};
void SetIntegrationDirectionToBackward()
{this->SetIntegrationDirection(BACKWARD);};
void SetIntegrationDirectionToBoth()
{this->SetIntegrationDirection(BOTH);};
// Description
// Turn on/off vorticity computation at streamline points
// (necessary for generating proper stream-ribbons using the
// vtkRibbonFilter.
vtkSetMacro(ComputeVorticity, bool);
vtkGetMacro(ComputeVorticity, bool);
// Description
// This can be used to scale the rate with which the streamribbons
// twist. The default is 1.
vtkSetMacro(RotationScale, double);
vtkGetMacro(RotationScale, double);
// Description:
// The object used to interpolate the velocity field during
// integration is of the same class as this prototype.
void SetInterpolatorPrototype( vtkAbstractInterpolatedVelocityField * ivf );
// Description:
// Set the type of the velocity field interpolator to determine whether
// vtkInterpolatedVelocityField (INTERPOLATOR_WITH_DATASET_POINT_LOCATOR) or
// vtkCellLocatorInterpolatedVelocityField (INTERPOLATOR_WITH_CELL_LOCATOR)
// is employed for locating cells during streamline integration. The latter
// (adopting vtkAbstractCellLocator sub-classes such as vtkCellLocator and
// vtkModifiedBSPTree) is more robust then the former (through vtkDataSet /
// vtkPointSet::FindCell() coupled with vtkPointLocator).
void SetInterpolatorType( int interpType );
protected:
vtkStreamTracer();
~vtkStreamTracer();
// Create a default executive.
virtual vtkExecutive* CreateDefaultExecutive();
// hide the superclass' AddInput() from the user and the compiler
void AddInput(vtkDataObject *)
{ vtkErrorMacro( << "AddInput() must be called with a vtkDataSet not a vtkDataObject."); };
virtual int RequestData(vtkInformation *, vtkInformationVector **, vtkInformationVector *);
virtual int FillInputPortInformation(int, vtkInformation *);
void CalculateVorticity( vtkGenericCell* cell, double pcoords[3],
vtkDoubleArray* cellVectors, double vorticity[3] );
void Integrate(vtkDataSet *input,
vtkPolyData* output,
vtkDataArray* seedSource,
vtkIdList* seedIds,
vtkIntArray* integrationDirections,
double lastPoint[3],
vtkAbstractInterpolatedVelocityField* func,
int maxCellSize,
const char *vecFieldName,
double& propagation,
vtkIdType& numSteps);
void SimpleIntegrate(double seed[3],
double lastPoint[3],
double stepSize,
vtkAbstractInterpolatedVelocityField* func);
int CheckInputs(vtkAbstractInterpolatedVelocityField*& func,
int* maxCellSize);
void GenerateNormals(vtkPolyData* output, double* firstNormal, const char *vecName);
bool GenerateNormalsInIntegrate;
// starting from global x-y-z position
double StartPosition[3];
static const double EPSILON;
double TerminalSpeed;
double LastUsedStepSize;
//BTX
struct IntervalInformation
{
double Interval;
int Unit;
};
double MaximumPropagation;
double MinimumIntegrationStep;
double MaximumIntegrationStep;
double InitialIntegrationStep;
void ConvertIntervals( double& step, double& minStep, double& maxStep,
int direction, double cellLength );
static double ConvertToLength( double interval, int unit, double cellLength );
static double ConvertToLength( IntervalInformation& interval, double cellLength );
//ETX
int SetupOutput(vtkInformation* inInfo,
vtkInformation* outInfo);
void InitializeSeeds(vtkDataArray*& seeds,
vtkIdList*& seedIds,
vtkIntArray*& integrationDirections,
vtkDataSet *source);
int IntegrationStepUnit;
int IntegrationDirection;
// Prototype showing the integrator type to be set by the user.
vtkInitialValueProblemSolver* Integrator;
double MaximumError;
vtkIdType MaximumNumberOfSteps;
bool ComputeVorticity;
double RotationScale;
vtkAbstractInterpolatedVelocityField * InterpolatorPrototype;
vtkCompositeDataSet* InputData;
private:
vtkStreamTracer(const vtkStreamTracer&); // Not implemented.
void operator=(const vtkStreamTracer&); // Not implemented.
};
#endif
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