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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 | // Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.2 (2011/07/23)
#ifndef WM5ODEIMPLICITEULER_H
#define WM5ODEIMPLICITEULER_H
#include "Wm5MathematicsLIB.h"
#include "Wm5OdeSolver.h"
#include "Wm5GMatrix.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM OdeImplicitEuler : public OdeSolver<Real>
{
public:
// The function F(t,x) has input t, a scalar, and input x, an n-vector.
// The first derivative matrix with respect to x is DF(t,x), an
// n-by-n matrix. Entry DF[r][c] is the derivative of F[r] with
// respect to x[c].
typedef void (*DerivativeFunction)(
Real, // t
const Real*, // x
void*, // user-specified data
GMatrix<Real>&); // DF(t,x)
// Construction and destruction.
OdeImplicitEuler (int dim, Real step,
typename OdeSolver<Real>::Function function,
DerivativeFunction derFunction, void* userData = 0);
virtual ~OdeImplicitEuler ();
virtual void Update (Real tIn, Real* xIn, Real& tOut, Real* xOut);
virtual void SetStepSize (Real step);
protected:
using OdeSolver<Real>::mDim;
using OdeSolver<Real>::mStep;
using OdeSolver<Real>::mFunction;
using OdeSolver<Real>::mUserData;
DerivativeFunction mDerFunction;
GMatrix<Real> mDF;
GVector<Real> mF;
GMatrix<Real> mIdentity;
};
typedef OdeImplicitEuler<float> OdeImplicitEulerf;
typedef OdeImplicitEuler<double> OdeImplicitEulerd;
}
#endif
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