Detailed Description

template<class func_t = funct>
class o2scl::inte_qagiu_gsl< func_t >

The integral on the unbounded interval is rewritten over the semi-open interval $ (0, 1] $ via a variable transformation,

$\int_a^{\infty} f(x)~dx = \int_0^1 f(a + (1-t)/t)t^{-2}~dt,$

and the right hand side is evaluated with o2scl::inte_qags_gsl.

See GSL-based integration routines in the User's guide for general information about the GSL integration classes.

Definition at line 50 of file inte_qagiu_gsl.h.

Public Member Functions
virtual int	integ_err (func_t &func, double a, double b, double &res, double &err)
	Integrate a function over the interval $[a, \infty)$ giving result `res` and error `err`. More...

Public Member Functions inherited from o2scl::inte_transform_gsl< funct >
virtual double	transform (double t, funct &func)=0
	The transformation to apply to the user-supplied function.

virtual void	gauss_kronrod (funct &func, double a, double b, double result, double abserr, double resabs, double resasc)
	Integration wrapper for internal transformed function type.

Public Member Functions inherited from o2scl::inte_kronrod_gsl< funct >
int	get_rule ()
	Get the Gauss-Kronrod integration rule. More...

void	set_rule (int rule)
	Set the Gauss-Kronrod integration rule to be used.

int	set_limit (size_t lim)
	Set the limit for the number of subdivisions of the integration region (default 1000) More...

void	gauss_kronrod_base (func2_t &func, double a, double b, double result, double abserr, double resabs, double resasc)
	The base Gauss-Kronrod integration function template. More...

Public Member Functions inherited from o2scl::inte< funct >
virtual double	integ (funct &func, double a, double b)
	Integrate function `func` from `a` to `b`.

virtual int	integ_err (funct &func, double a, double b, double &res, double &err)=0
	Integrate function `func` from `a` to `b` and place the result in `res` and the error in `err`.

double	get_error ()
	Return the numerically estimated error in the result from the last call to integ() More...

virtual const char *	type ()
	Return string denoting type ("inte")

Protected Member Functions
virtual double	transform (double t, func_t &func)
	Transform to $t \in (0,1]$ .

Protected Member Functions inherited from o2scl::inte_singular_gsl< funct >
void	initialise_table (struct extrapolation_table *table)
	Initialize the table.

void	append_table (struct extrapolation_table *table, double y)
	Append a result to the table.

int	test_positivity (double result, double resabs)
	Test if the integrand satisfies .

void	qelg (struct extrapolation_table table, double result, double *abserr)
	Determines the limit of a given sequence of approximations. More...

int	large_interval (inte_workspace_gsl *workspace)
	Determine if an interval is large.

void	reset_nrmax (inte_workspace_gsl *workspace)
	Reset workspace to work on the interval with the largest error.

int	increase_nrmax (inte_workspace_gsl *workspace)
	Increase workspace.

int	qags (funct &func, const double a, const double b, const double l_epsabs, const double l_epsrel, double result, double abserr)
	Integration function. More...

Protected Member Functions inherited from o2scl::inte_gsl
double	rescale_error (double err, const double result_abs, const double result_asc)
	QUADPACK's nonlinear rescaling of the absolute-error estimate. More...

Protected Attributes
double	lower_limit
	The lower limit.

Protected Attributes inherited from o2scl::inte_kronrod_gsl< funct >
inte_workspace_gsl *	w
	The integration workspace.

int	n_gk
	Size of Gauss-Kronrod arrays.

const double *	x_gk
	Gauss-Kronrod abscissae pointer.

const double *	w_g
	Gauss weight pointer.

const double *	w_gk
	Gauss-Kronrod weight pointer.

double *	f_v1
	Scratch space.

double *	f_v2
	Scratch space.

Protected Attributes inherited from o2scl::inte< funct >
double	interror
	The uncertainty for the last integration computation.

Additional Inherited Members
Public Types inherited from o2scl::inte_singular_gsl< funct >
typedef struct o2scl::inte_singular_gsl::extrapolation_table	extrap_table
	A structure for extrapolation for o2scl::inte_qags_gsl. More...

Public Attributes inherited from o2scl::inte< funct >
int	verbose
	Verbosity.

size_t	last_iter
	The most recent number of iterations taken.

double	tol_rel
	The maximum relative uncertainty in the value of the integral (default $10^{-8}$ )

double	tol_abs
	The maximum absolute uncertainty in the value of the integral (default $10^{-8}$ )

bool	err_nonconv
	If true, call the error handler if the routine does not converge or reach the desired tolerance (default true) More...

Member Function Documentation

◆ integ_err()

template<class func_t = funct>

virtual int o2scl::inte_qagiu_gsl< func_t >::integ_err	(	func_t &	func,
		double	a,
		double	b,
		double &	res,
		double &	err
	)

inlinevirtual

The value b is ignored.

Definition at line 69 of file inte_qagiu_gsl.h.

The documentation for this class was generated from the following file:

/home/awsteiner/wcs/o2scl/src/inte/inte_qagiu_gsl.h

Detailed Description

template<class func_t = funct> class o2scl::inte_qagiu_gsl< func_t >

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Function Documentation

◆ integ_err()

template<class func_t = funct>
class o2scl::inte_qagiu_gsl< func_t >