Struct template error

Struct template error_estimator

boost::numeric::quadrature::error_estimator — Error estimation.

Synopsis

template<typename Domain, typename Image> 
struct error_estimator {
  // types
  typedef unspecified image_type;       
  typedef unspecified domain_type;      
  typedef unspecified scalar_image_type;
  typedef unspecified flag_type;        

  // public member functions
  template<typename Weight> 
    void center_point(Weight, typename call_traits< image_type >::param_type) ;
  template<typename Weight> 
    void point(Weight, typename call_traits< image_type >::param_type, 
               typename call_traits< image_type >::param_type) ;
  template<typename ImagePoints, typename Weight, typename WeightRange> 
    void operator()(typename call_traits< image_type >::param_type, 
                    typename call_traits< image_type >::param_type, 
                    typename call_traits< image_type >::param_type, 
                    const ImagePoints &, const ImagePoints &, Weight, 
                    const WeightRange &, Domain) ;
  const image_type & absolute_error() const;
  const image_type & integral_abs() const;
  call_traits< flag_type >::const_reference residual_roundoff() const;
  call_traits< flag_type >::const_reference roundoff() const;

  // public static functions
  static scalar_image_type minimum_relative_error() ;

  image_type abserr;
  image_type resabs;
  image_type resasc;
  flag_type m_residual_roundoff;
  flag_type m_roundoff;
};

Description

Error estimation is for the integral I(x) of f(x), is based on the integral of abs(f(x)) and on the integral of I(x)-f(x). Adapted from quadpack.

Note that the calls to center_point and to point could have been computed in the call to operator(), but that was found to give different rounnding behaviour in the coefficients.

`error_estimator` public member functions

template<typename Weight> 
  void center_point(Weight center_weight, 
                    typename call_traits< image_type >::param_type center_value) ;

Parameters:

`center_value`	value of integrand at centre of interval
`center_weight`	weight at centre of interval

template<typename Weight> 
  void point(Weight weight, 
             typename call_traits< image_type >::param_type lower, 
             typename call_traits< image_type >::param_type upper) ;

Parameters:

`lower`	value of integrand at lower offset of interval
`upper`	value of integrand at upper offset of interval
`weight`	weight at centre of interval

template<typename ImagePoints, typename Weight, typename WeightRange> 
  void operator()(typename call_traits< image_type >::param_type resk, 
                  typename call_traits< image_type >::param_type resg, 
                  typename call_traits< image_type >::param_type center_value, 
                  const ImagePoints & lower_values, 
                  const ImagePoints & upper_values, Weight center_weight, 
                  const WeightRange & weights, Domain half_length) ;

Parameters:

`center_value`
`center_weight`
`half_length`
`lower_values`
`resg`
`resk`
`upper_values`
`weights`

const image_type & absolute_error() const;

const image_type & integral_abs() const;

call_traits< flag_type >::const_reference residual_roundoff() const;

call_traits< flag_type >::const_reference roundoff() const;

`error_estimator` public static functions

static scalar_image_type minimum_relative_error() ;

Struct template error_estimator

Synopsis

Description

error_estimator public member functions

error_estimator public static functions

`error_estimator` public member functions

`error_estimator` public static functions