Integrate a function over the interval (GSL)
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#include <inte_qagiu_gsl.h>
The integral on the unbounded interval is rewritten over the semi-open interval via a variable transformation,
and the right hand side is evaluated with inte_qags_gsl.
See GSL-based integration routines in the User's guide for general information about the GSL integration classes.
Definition at line 51 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 ![]() res and error err . More... | |
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virtual void | gauss_kronrod (func_t &func, double a, double b, double *result, double *abserr, double *resabs, double *resasc) |
Integration wrapper for internal transformed function type. | |
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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... | |
template<class func2_t > | |
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... | |
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virtual double | integ (func_t &func, double a, double b) |
Integrate function func from a to b . | |
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 ![]() | |
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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 (func_t &func, const double a, const double b, const double l_epsabs, const double l_epsrel, double *result, double *abserr) |
Integration function. More... | |
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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. | |
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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. | |
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double | interror |
The uncertainty for the last integration computation. | |
Additional Inherited Members | |
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typedef struct o2scl::inte_singular_gsl::extrapolation_table | extrap_table |
A structure for extrapolation for inte_qags_gsl. More... | |
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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 ![]() | |
double | tol_abs |
The maximum absolute uncertainty in the value of the integral (default ![]() | |
bool | err_nonconv |
If true, call the error handler if the routine does not converge or reach the desired tolerance (default true) More... | |
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inlinevirtual |
The value b
is ignored.
Implements o2scl::inte< func_t >.
Definition at line 70 of file inte_qagiu_gsl.h.
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