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// David Eberly, Geometric Tools, Redmond WA 98052
// Copyright (c) 1998-2021
// Distributed under the Boost Software License, Version 1.0.
// https://www.boost.org/LICENSE_1_0.txt
// https://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
// Version: 4.0.2019.08.13
#pragma once
#include <Mathematics/OdeSolver.h>
// The TVector template parameter allows you to create solvers with
// Vector<N,Real> when the dimension N is known at compile time or
// GVector<Real> when the dimension N is known at run time. Both classes
// have 'int GetSize() const' that allow OdeSolver-derived classes to query
// for the dimension.
namespace gte
{
template <typename Real, typename TVector>
class OdeEuler : public OdeSolver<Real, TVector>
{
public:
// Construction and destruction.
virtual ~OdeEuler() = default;
OdeEuler(Real tDelta, std::function<TVector(Real, TVector const&)> const& F)
:
OdeSolver<Real, TVector>(tDelta, F)
{
}
// Estimate x(t + tDelta) from x(t) using dx/dt = F(t,x). You may
// allow xIn and xOut to be the same object.
virtual void Update(Real tIn, TVector const& xIn, Real& tOut, TVector& xOut) override
{
TVector fVector = this->mFunction(tIn, xIn);
tOut = tIn + this->mTDelta;
xOut = xIn + this->mTDelta * fVector;
}
};
}