/usr/include/BALL/MATHS/numericalIntegrator.h is in libball1.4-dev 1.4.3~beta1-4.
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// vi: set ts=2:
//
// $Id: numericalIntegrator.h,v 1.18 2004/05/27 19:49:42 oliver Exp $
//
#ifndef BALL_MATHS_NUMERICALINTEGRATOR_H
#define BALL_MATHS_NUMERICALINTEGRATOR_H
#ifndef BALL_MATHS_FUNCTION_H
# include <BALL/MATHS/function.h>
#endif
namespace BALL
{
/** Numerical integrator class.
\ingroup FunctionClasses
*/
template <typename Function, typename DataType = float>
class NumericalIntegrator
{
public:
BALL_CREATE(NumericalIntegrator)
/// @name Constructors and destructor.
//@{
/// Default constructor
NumericalIntegrator();
/// Copy constructor
NumericalIntegrator(const NumericalIntegrator& nint);
/// Destructor
virtual ~NumericalIntegrator();
//@}
/// @name Assignment
//@{
/// Assignment operator
NumericalIntegrator& operator = (const NumericalIntegrator& nint);
//@}
/// @name Predicates
//@{
/// Equality operator
bool operator == (const NumericalIntegrator& nint) const;
//@}
/// @name Accessors
//@{
/** set the function to be integrated
@param the function to be assigned
*/
void setFunction(const Function& function);
/** Get the function to be integrated (const version).
@return a const reference to the actual function
*/
const Function& getFunction() const { return function_; }
/** Get the function to be integrated (const version).
@return a mutable reference to the actual function
*/
Function& getFunction() { return function_; }
/** Get the value of the function at position <b> x </b>
@param x the position at which <tt>function\_</tt> is to be evaluated
@return the value of <tt>function\_</tt> at <b> x </b>
*/
DataType getValue(const DataType& x) const;
/** Integrate the function numerically
@param from lower limit of the integration
@param to upper limit of the integration
@return the value of the integral
*/
DataType integrate(const DataType& from, const DataType& to) const;
//@}
protected:
//_ The function to be integrated
Function function_;
};
template<typename Function, typename DataType>
BALL_INLINE
NumericalIntegrator<Function, DataType>::NumericalIntegrator()
: function_()
{
}
template<typename Function, typename DataType>
BALL_INLINE
NumericalIntegrator<Function, DataType>::NumericalIntegrator(const NumericalIntegrator<Function, DataType>& nint)
: function_(nint.function_)
{
}
template<typename Function, typename DataType>
BALL_INLINE
NumericalIntegrator<Function, DataType>::~NumericalIntegrator()
{
}
template<typename Function, typename DataType>
BALL_INLINE
NumericalIntegrator<Function, DataType>&
NumericalIntegrator<Function, DataType>::operator =
(const NumericalIntegrator<Function, DataType>& nint)
{
function_ = nint.function_;
return *this;
}
template<typename Function, typename DataType>
BALL_INLINE
void NumericalIntegrator<Function, DataType>::setFunction(const Function& function)
{
function_ = function;
}
template<typename Function, typename DataType>
BALL_INLINE
bool NumericalIntegrator<Function, DataType>::operator ==
(const NumericalIntegrator<Function, DataType>& nint) const
{
return (function_ == nint.function_);
}
template<typename Function, typename DataType>
BALL_INLINE
DataType NumericalIntegrator<Function, DataType>::getValue(const DataType& x) const
{
return function_(x);
}
template<typename Function, typename DataType>
BALL_INLINE
DataType NumericalIntegrator<Function, DataType>::integrate(
const DataType& from, const DataType& to) const
{
// ?????
// the number of samples has to be user configurable
Size samples = 30;
Size n = samples;
DataType area = 0;
DataType step = (to - from) / n;
DataType x = from;
while (n > 0)
{
area += (function_(x) + function_(x + step)) / 2.0 * step;
x += step;
--n;
}
return area;
}
}
#endif // BALL_MATHS_NUMERICALINTEGRATOR_H
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