VTK
vtkRungeKutta45.h
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1/*=========================================================================
2
3 Program: Visualization Toolkit
4 Module: vtkRungeKutta45.h
5
6 Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
7 All rights reserved.
8 See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
9
10 This software is distributed WITHOUT ANY WARRANTY; without even
11 the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12 PURPOSE. See the above copyright notice for more information.
13
14=========================================================================*/
38#ifndef vtkRungeKutta45_h
39#define vtkRungeKutta45_h
40
41#include "vtkCommonMathModule.h" // For export macro
43
44class VTKCOMMONMATH_EXPORT vtkRungeKutta45 : public vtkInitialValueProblemSolver
45{
46public:
48 void PrintSelf(ostream& os, vtkIndent indent) VTK_OVERRIDE;
49
54
56
78 int ComputeNextStep(double* xprev, double* xnext,
79 double t, double& delT,
80 double maxError, double& error) VTK_OVERRIDE
81 {
82 double minStep = delT;
83 double maxStep = delT;
84 double delTActual;
85 return this->ComputeNextStep(xprev, 0, xnext, t, delT, delTActual,
86 minStep, maxStep, maxError, error);
87 }
88 int ComputeNextStep(double* xprev, double* dxprev, double* xnext,
89 double t, double& delT,
90 double maxError, double& error) VTK_OVERRIDE
91 {
92 double minStep = delT;
93 double maxStep = delT;
94 double delTActual;
95 return this->ComputeNextStep(xprev, dxprev, xnext, t, delT, delTActual,
96 minStep, maxStep, maxError, error);
97 }
98 int ComputeNextStep(double* xprev, double* xnext,
99 double t, double& delT, double& delTActual,
100 double minStep, double maxStep,
101 double maxError, double& error) VTK_OVERRIDE
102 {
103 return this->ComputeNextStep(xprev, 0, xnext, t, delT, delTActual,
104 minStep, maxStep, maxError, error);
105 }
106 int ComputeNextStep(double* xprev, double* dxprev, double* xnext,
107 double t, double& delT, double& delTActual,
108 double minStep, double maxStep,
109 double maxError, double& error) VTK_OVERRIDE;
111
112protected:
114 ~vtkRungeKutta45() VTK_OVERRIDE;
115
116 void Initialize() VTK_OVERRIDE;
117
118 // Cash-Karp parameters
119 static double A[5];
120 static double B[5][5];
121 static double C[6];
122 static double DC[6];
123
124 double* NextDerivs[6];
125
126 int ComputeAStep(double* xprev, double* dxprev, double* xnext, double t,
127 double& delT, double& delTActual, double& error);
128
129private:
130 vtkRungeKutta45(const vtkRungeKutta45&) VTK_DELETE_FUNCTION;
131 void operator=(const vtkRungeKutta45&) VTK_DELETE_FUNCTION;
132};
133
134#endif
135
a simple class to control print indentation
Definition: vtkIndent.h:40
Integrate a set of ordinary differential equations (initial value problem) in time.
virtual int ComputeNextStep(double *xprev, double *xnext, double t, double &delT, double maxError, double &error)
Given initial values, xprev , initial time, t and a requested time interval, delT calculate values of...
Integrate an initial value problem using 5th order Runge-Kutta method with adaptive stepsize control.
~vtkRungeKutta45() override
int ComputeNextStep(double *xprev, double *dxprev, double *xnext, double t, double &delT, double maxError, double &error) override
int ComputeNextStep(double *xprev, double *xnext, double t, double &delT, double maxError, double &error) override
Given initial values, xprev , initial time, t and a requested time interval, delT calculate values of...
int ComputeNextStep(double *xprev, double *xnext, double t, double &delT, double &delTActual, double minStep, double maxStep, double maxError, double &error) override
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
static vtkRungeKutta45 * New()
Construct a vtkRungeKutta45 with no initial FunctionSet.
int ComputeNextStep(double *xprev, double *dxprev, double *xnext, double t, double &delT, double &delTActual, double minStep, double maxStep, double maxError, double &error) override