GSLIntegration.h File Reference

#include <cmath>
#include <functional>
#include <vector>

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Classes
struct	gsl_integration_workspace
	Workspace for adaptive integration routines. More...
struct	gsl_function
	Function wrapper used by integration routines. More...

Functions
gsl_integration_workspace *	gsl_integration_workspace_alloc (size_t n)
	Allocate integration workspace with limit \(n\).
void	gsl_integration_workspace_free (gsl_integration_workspace *w)
	Free a workspace allocated by gsl_integration_workspace_alloc.
int	gsl_integration_qag (const gsl_function *f, double a, double b, double epsabs, double epsrel, size_t, int, gsl_integration_workspace *, double *result, double *abserr)
	Adaptive integration on \([a,b]\) using Simpson refinement.

Variables
constexpr int	GSL_INTEG_GAUSS15 = 1
	Integration rule identifiers (accepted but not used in this implementation).
constexpr int	GSL_INTEG_GAUSS21 = 2
constexpr int	GSL_INTEG_GAUSS31 = 3
constexpr int	GSL_INTEG_GAUSS41 = 4
constexpr int	GSL_INTEG_GAUSS51 = 5
constexpr int	GSL_INTEG_GAUSS61 = 6

Function Documentation

gsl_integration_qag()

int gsl_integration_qag ( const gsl_function *  f, double  a, double  b, double  epsabs, double  epsrel, size_t  , int  , gsl_integration_workspace *  , double *  result, double *  abserr  )

inline

Adaptive integration on \([a,b]\) using Simpson refinement.

See also

https://www.gnu.org/software/gsl/doc/html/integration.html

Computes an approximation of \(\int_a^b f(x)\,dx\) with absolute tolerance epsabs and relative tolerance epsrel.

Parameters

f	Input: integrand.
a	Input: lower limit.
b	Input: upper limit.
epsabs	Input: absolute error tolerance.
epsrel	Input: relative error tolerance.
limit	Input: maximum subintervals (unused).
key	Input: quadrature rule selector (unused).
workspace	Input: workspace (unused).
result	Output: estimated integral value.
abserr	Output: estimated absolute error.

Returns

Output: 0 on success.

Definition at line 121 of file GSLIntegration.h.

References gsl_function::function, and gsl_function::params.

Referenced by TEST_F(), TEST_F(), TEST_F(), TEST_F(), TEST_F(), and TEST_F().

gsl_integration_workspace_alloc()

gsl_integration_workspace * gsl_integration_workspace_alloc ( size_t  n )

inline

Allocate integration workspace with limit \(n\).

See also

https://www.gnu.org/software/gsl/doc/html/integration.html

Parameters

n	Input: maximum number of subintervals.

Returns

Output: pointer to newly allocated workspace.

Definition at line 47 of file GSLIntegration.h.

References gsl_integration_workspace::alist, gsl_integration_workspace::blist, gsl_integration_workspace::elist, gsl_integration_workspace::limit, gsl_integration_workspace::order, and gsl_integration_workspace::rlist.

Referenced by TEST_F(), TEST_F(), TEST_F(), TEST_F(), TEST_F(), and TEST_F().

gsl_integration_workspace_free()

void gsl_integration_workspace_free ( gsl_integration_workspace *  w )

inline

Free a workspace allocated by gsl_integration_workspace_alloc.

See also

https://www.gnu.org/software/gsl/doc/html/integration.html

Parameters

w	Input: workspace to release (can be null).

Definition at line 61 of file GSLIntegration.h.

Referenced by TEST_F(), TEST_F(), TEST_F(), TEST_F(), TEST_F(), and TEST_F().

Variable Documentation

GSL_INTEG_GAUSS15

constexpr int GSL_INTEG_GAUSS15 = 1

constexpr

Integration rule identifiers (accepted but not used in this implementation).

Definition at line 140 of file GSLIntegration.h.

Referenced by TEST_F(), TEST_F(), TEST_F(), TEST_F(), TEST_F(), and TEST_F().

GSL_INTEG_GAUSS21

constexpr int GSL_INTEG_GAUSS21 = 2

constexpr

Definition at line 141 of file GSLIntegration.h.

GSL_INTEG_GAUSS31

constexpr int GSL_INTEG_GAUSS31 = 3

constexpr

Definition at line 142 of file GSLIntegration.h.

GSL_INTEG_GAUSS41

constexpr int GSL_INTEG_GAUSS41 = 4

constexpr

Definition at line 143 of file GSLIntegration.h.

GSL_INTEG_GAUSS51

constexpr int GSL_INTEG_GAUSS51 = 5

constexpr

Definition at line 144 of file GSLIntegration.h.

GSL_INTEG_GAUSS61

constexpr int GSL_INTEG_GAUSS61 = 6

constexpr

Definition at line 145 of file GSLIntegration.h.