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00001 /*=========================================================================
00002 
00003   Program:   Visualization Toolkit
00004   Module:    vtkRungeKutta45.h
00005 
00006   Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
00007   All rights reserved.
00008   See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
00009 
00010      This software is distributed WITHOUT ANY WARRANTY; without even
00011      the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
00012      PURPOSE.  See the above copyright notice for more information.
00013 
00014 =========================================================================*/
00037 #ifndef vtkRungeKutta45_h
00038 #define vtkRungeKutta45_h
00039 
00040 #include "vtkCommonMathModule.h" // For export macro
00041 #include "vtkInitialValueProblemSolver.h"
00042 
00043 class VTKCOMMONMATH_EXPORT vtkRungeKutta45 : public vtkInitialValueProblemSolver
00044 {
00045 public:
00046   vtkTypeMacro(vtkRungeKutta45,vtkInitialValueProblemSolver);
00047   void PrintSelf(ostream& os, vtkIndent indent);
00048 
00050   static vtkRungeKutta45 *New();
00051 
00053 
00068   virtual int ComputeNextStep(double* xprev, double* xnext, double t,
00069                               double& delT, double maxError, double& error)
00070     {
00071       double minStep = delT;
00072       double maxStep = delT;
00073       double delTActual;
00074       return this->ComputeNextStep(xprev, 0, xnext, t, delT, delTActual,
00075                                    minStep, maxStep, maxError, error);
00076     }
00077   virtual int ComputeNextStep(double* xprev, double* dxprev, double* xnext,
00078                               double t, double& delT,
00079                               double maxError, double& error)
00080     {
00081       double minStep = delT;
00082       double maxStep = delT;
00083       double delTActual;
00084       return this->ComputeNextStep(xprev, dxprev, xnext, t, delT, delTActual,
00085                                    minStep, maxStep, maxError, error);
00086     }
00087   virtual int ComputeNextStep(double* xprev, double* xnext,
00088                               double t, double& delT, double& delTActual,
00089                               double minStep, double maxStep,
00090                               double maxError, double& error)
00091     {
00092       return this->ComputeNextStep(xprev, 0, xnext, t, delT, delTActual,
00093                                    minStep, maxStep, maxError, error);
00094     }
00095   virtual int ComputeNextStep(double* xprev, double* dxprev, double* xnext,
00096                               double t, double& delT, double& delTActual,
00097                               double minStep, double maxStep,
00098                               double maxError, double& error);
00100 
00101 protected:
00102   vtkRungeKutta45();
00103   ~vtkRungeKutta45();
00104 
00105   virtual void Initialize();
00106 
00107   // Cash-Karp parameters
00108   static double A[5];
00109   static double B[5][5];
00110   static double C[6];
00111   static double DC[6];
00112 
00113   double* NextDerivs[6];
00114 
00115   int ComputeAStep(double* xprev, double* dxprev, double* xnext, double t,
00116                    double& delT,  double& error);
00117 
00118 private:
00119   vtkRungeKutta45(const vtkRungeKutta45&);  // Not implemented.
00120   void operator=(const vtkRungeKutta45&);  // Not implemented.
00121 };
00122 
00123 #endif
00124