GIntegral.hpp
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/***************************************************************************
* GIntegral.hpp - Integration class *
* ----------------------------------------------------------------------- *
* copyright (C) 2010-2014 by Juergen Knoedlseder *
* ----------------------------------------------------------------------- *
* *
* This program is free software: you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation, either version 3 of the License, or *
* (at your option) any later version. *
* *
* This program 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 General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <http://www.gnu.org/licenses/>. *
* *
***************************************************************************/
/**
* @file GIntegral.hpp
* @brief Integration class interface definition
* @author Juergen Knoedlseder
*/
#ifndef GINTEGRAL_HPP
#define GINTEGRAL_HPP
/* __ Includes ___________________________________________________________ */
#include <string>
#include <vector>
#include "GBase.hpp"
#include "GFunction.hpp"
/***********************************************************************//**
* @class GIntegral
*
* @brief GIntegral class interface definition.
*
* This class allows to perform integration using various methods. The
* integrand is implemented by a derived class of GFunction.
***************************************************************************/
class GIntegral : public GBase {
public:
// Constructors and destructors
explicit GIntegral(void);
explicit GIntegral(GFunction* kernel);
GIntegral(const GIntegral& integral);
virtual ~GIntegral(void);
// Operators
GIntegral& operator=(const GIntegral& integral);
// Methods
void clear(void);
GIntegral* clone(void) const;
std::string classname(void) const;
void max_iter(const int& iter);
const int& max_iter(void) const;
void fixed_iter(const int& iter);
const int& fixed_iter(void) const;
void eps(const double& eps);
const double& eps(void) const;
void silent(const bool& silent);
const bool& silent(void) const;
const int& iter(void) const;
const int& calls(void) const;
const bool& is_valid(void) const;
const std::string& message(void) const;
void kernel(GFunction* kernel);
const GFunction* kernel(void) const;
double romberg(std::vector<double> bounds,
const int& order = 5);
double romberg(const double& a, const double& b,
const int& order = 5);
double trapzd(const double& a, const double& b,
const int& n = 1, double result = 0.0);
double adaptive_simpson(const double& a, const double& b) const;
double gauss_kronrod(const double& a, const double& b) const;
std::string print(const GChatter& chatter = NORMAL) const;
protected:
// Protected methods
void init_members(void);
void copy_members(const GIntegral& integral);
void free_members(void);
double polint(double* xa, double* ya, int n, double x, double *dy);
double adaptive_simpson_aux(const double& a, const double& b,
const double& eps, const double& S,
const double& fa, const double& fb,
const double& fc,
const int& bottom) const;
double rescale_error(double err,
const double& result_abs,
const double& result_asc) const;
// Protected data area
GFunction* m_kernel; //!< Pointer to function kernel
double m_eps; //!< Requested relative integration precision
int m_max_iter; //!< Maximum number of iterations
int m_fix_iter; //!< Fixed number of iterations
bool m_silent; //!< Suppress integration warnings in console
// Integrator results
mutable int m_iter; //!< Number of iterations used
mutable int m_calls; //!< Number of function calls used
mutable bool m_isvalid; //!< Integration result valid (true=yes)
mutable bool m_has_abserr; //!< Has absolute integration error
mutable bool m_has_relerr; //!< Has relative integration error
mutable double m_abserr; //!< Absolute integration error
mutable double m_relerr; //!< Absolute integration error
mutable std::string m_message; //!< Status message (if result is invalid)
};
/***********************************************************************//**
* @brief Return class name
*
* @return String containing the class name ("GIntegral").
***************************************************************************/
inline
std::string GIntegral::classname(void) const
{
return ("GIntegral");
}
/***********************************************************************//**
* @brief Return number of iterations
*
* @return Number of iterations.
***************************************************************************/
inline
const int& GIntegral::iter(void) const
{
return m_iter;
}
/***********************************************************************//**
* @brief Set maximum number of iterations
*
* @param[in] iter Maximum number of iterations.
***************************************************************************/
inline
void GIntegral::max_iter(const int& iter)
{
m_max_iter = iter;
return;
}
/***********************************************************************//**
* @brief Return maximum number of iterations
*
* @return Maximum number of iterations.
***************************************************************************/
inline
const int& GIntegral::max_iter(void) const
{
return m_max_iter;
}
/***********************************************************************//**
* @brief Set fixed number of iterations
*
* @param[in] iter Fixed number of iterations.
*
* If the fixed number of iterations is set, the integration algorithm will
* always performed the given number of iterations, irrespectively of the
* precision that is reached. This feature is relevant for computing
* numerical derivates from numerically integrated functions.
***************************************************************************/
inline
void GIntegral::fixed_iter(const int& iter)
{
m_fix_iter = iter;
return;
}
/***********************************************************************//**
* @brief Return fixed number of iterations
*
* @return Fixed number of iterations.
***************************************************************************/
inline
const int& GIntegral::fixed_iter(void) const
{
return m_fix_iter;
}
/***********************************************************************//**
* @brief Set relative precision
*
* @param[in] eps Relative precision.
***************************************************************************/
inline
void GIntegral::eps(const double& eps)
{
m_eps = eps;
return;
}
/***********************************************************************//**
* @brief Get relative precision
*
* @return Relative precision.
***************************************************************************/
inline
const double& GIntegral::eps(void) const
{
return m_eps;
}
/***********************************************************************//**
* @brief Get number of function calls
*
* @return Number of function calls.
***************************************************************************/
inline
const int& GIntegral::calls(void) const
{
return m_calls;
}
/***********************************************************************//**
* @brief Set silence flag
*
* @param[in] silent Silence flag.
***************************************************************************/
inline
void GIntegral::silent(const bool& silent)
{
m_silent = silent;
return;
}
/***********************************************************************//**
* @brief Get silence flag
*
* @return True is class is silent, false otherwise.
***************************************************************************/
inline
const bool& GIntegral::silent(void) const
{
return m_silent;
}
/***********************************************************************//**
* @brief Set kernel
*
* @param[in] kernel Kernel.
*
* Sets the kernel for which the integral should be determined.
***************************************************************************/
inline
void GIntegral::kernel(GFunction* kernel)
{
m_kernel = kernel;
return;
}
/***********************************************************************//**
* @brief Get kernel
*
* @return Kernel.
***************************************************************************/
inline
const GFunction* GIntegral::kernel(void) const
{
return m_kernel;
}
/***********************************************************************//**
* @brief Signal if integration result is valid
*
* @return True is integration result is valid.
***************************************************************************/
inline
const bool& GIntegral::is_valid(void) const
{
return m_isvalid;
}
/***********************************************************************//**
* @brief Return integration status message
*
* @return Integration status message.
***************************************************************************/
inline
const std::string& GIntegral::message(void) const
{
return m_message;
}
#endif /* GINTEGRAL_HPP */