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/*************************************************************************
* Copyright (C) 2010 Tavian Barnes <tavianator@gmail.com> *
* *
* This file is part of The vZ Library. *
* *
* The vZ Library is free software; you can redistribute it and/or *
* modify it under the terms of the GNU Lesser General Public License as *
* published by the Free Software Foundation; either version 3 of the *
* License, or (at your option) any later version. *
* *
* The vZ Library is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with this program. If not, see *
* <http://www.gnu.org/licenses/>. *
*************************************************************************/
#ifndef VZ_EULER_HPP
#define VZ_EULER_HPP
namespace vZ
{
// Euler method
//
// Simplest Runge-Kutta method
// First order
// Its tableau is:
//
// 0 |
// --+--
// | 1
template <typename Y>
class GenericEulerIntegrator : public GenericSimpleIntegrator<Y>
{
public:
typedef typename GenericSimpleIntegrator<Y>::Scalar Scalar;
typedef typename GenericSimpleIntegrator<Y>::Function Function;
GenericEulerIntegrator(Function f)
: GenericSimpleIntegrator<Y>(f, s_a, s_b) { }
~GenericEulerIntegrator() { }
private:
typedef typename GenericSimpleIntegrator<Y>::ACoefficients ACoefficients;
typedef typename GenericSimpleIntegrator<Y>::BCoefficients BCoefficients;
static ACoefficients s_a;
static BCoefficients s_b;
static Scalar s_bArr[1];
};
// Type alias
typedef GenericEulerIntegrator<double> EulerIntegrator;
// Implementation
template <typename Y>
typename GenericEulerIntegrator<Y>::Scalar
GenericEulerIntegrator<Y>::s_bArr[1] = {
Scalar(1)
};
template <typename Y>
typename GenericEulerIntegrator<Y>::ACoefficients
GenericEulerIntegrator<Y>::s_a;
template <typename Y>
typename GenericEulerIntegrator<Y>::BCoefficients
GenericEulerIntegrator<Y>::s_b(s_bArr, s_bArr + 1);
}
#endif // VZ_EULER_HPP
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