Class template rms

boost::numeric::quadrature::rms — N,M Recursive Monotone Stable quadrature.

Synopsis

template<std::size_t N, std::size_t M, typename ErrorEst, typename Recorder, 
         typename Data> 
class rms {
public:
  // construct/copy/destruct
  rms(BOOST_QUADRATURE_CONSTRUCTOR_REF_ARG(error_estimator, ErrorEst), 
      BOOST_QUADRATURE_CONSTRUCTOR_REF_ARG(recorder, Recorder));

  // public member functions
  template<typename F, typename DL, typename DU, typename R> 
    quadrature_error operator()(F, DL, DU, R &) const;
  template<typename ErrorEst_> 
    rms< N, M, ErrorEst_, Recorder, Data > error_estimator(ErrorEst_ &) const;
  template<typename Recorder_> 
    rms< N, M, ErrorEst, Recorder_, Data > recorder(Recorder_ &) const;
  template<typename Data_> 
    rms< N, M, ErrorEst, Recorder, Data_ > kernel_data(Data_ &) const;

  // private member functions
   BOOST_QUADRATURE_REF_ARG(error_estimator, ErrorEst, unspecified, 
                            unspecified) ;
};

Description

N,M Recursive Monotone Stable quadrature. N and M are assumed odd, so coefficients become symmetric.

rms is defined for rms<19,13>, rms<27,19> and rms<41,27>.

`rms` construct/copy/destruct

rms(BOOST_QUADRATURE_CONSTRUCTOR_REF_ARG(error_estimator, ErrorEst), 
    BOOST_QUADRATURE_CONSTRUCTOR_REF_ARG(recorder, Recorder));

`rms` public member functions

template<typename F, typename DL, typename DU, typename R> 
  quadrature_error 
  operator()(F integrand, DL lower_limit, DU upper_limit, R & result) const;

Parameters:

`integrand`	the integrand to be integrated
`lower_limit`	the lower limit of integration
`result`	the approcimation of the integral
`upper_limit`	the upper limit of integration

Returns:

error code

template<typename ErrorEst_> 
  rms< N, M, ErrorEst_, Recorder, Data > 
  error_estimator(ErrorEst_ & error_estimator) const;

Parameters:

error_estimator

the estimator to be used

Returns:

an rms integrator object, which includes the estimator

template<typename Recorder_> 
  rms< N, M, ErrorEst, Recorder_, Data > recorder(Recorder_ & recorder) const;

Parameters:

recorder

the recorder to be used

Returns:

an rms integrator object, which includes the recorder

template<typename Data_> 
  rms< N, M, ErrorEst, Recorder, Data_ > 
  kernel_data(Data_ & kernel_data) const;

Parameters:

kernel_data

the kernel_data to be used

Returns:

an rms integrator object, which includes the kernel data

`rms` private member functions

 BOOST_QUADRATURE_REF_ARG(error_estimator, ErrorEst, unspecified, 
                          unspecified instance) ;