| NumCosmo Reference Manual | ||||
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Synopsis
gsl_integration_workspace ** ncm_integral_get_workspace (); gdouble (*_NcmIntegrand2dimFunc) (gdouble x,gdouble y,gpointer userdata); struct NcmIntegrand2dim; struct NcmIntegralFixed; gint ncm_integral_locked_a_b (gsl_function *F,gdouble a,gdouble b,gdouble abstol,gdouble reltol,gdouble *result,gdouble *error); gint ncm_integral_locked_a_inf (gsl_function *F,gdouble a,gdouble abstol,gdouble reltol,gdouble *result,gdouble *error); gint ncm_integral_cached_0_x (NcmFunctionCache *cache,gsl_function *F,gdouble x,gdouble *result,gdouble *error); gint ncm_integral_cached_x_inf (NcmFunctionCache *cache,gsl_function *F,gdouble x,gdouble *result,gdouble *error); gboolean ncm_integrate_2dim (NcmIntegrand2dim *integ,gdouble xi,gdouble yi,gdouble xf,gdouble yf,gdouble epsrel,gdouble epsabs,gdouble *result,gdouble *error); NcmIntegralFixed * ncm_integral_fixed_new (gulong n_nodes,gulong rule_n,gdouble xl,gdouble xu); void ncm_integral_fixed_free (NcmIntegralFixed *intf); void ncm_integral_fixed_calc_nodes (NcmIntegralFixed *intf,gsl_function *F); gdouble ncm_integral_fixed_nodes_eval (NcmIntegralFixed *intf); gdouble ncm_integral_fixed_integ_mult (NcmIntegralFixed *intf,gsl_function *F); gdouble ncm_integral_fixed_integ_posdef_mult (NcmIntegralFixed *intf,gsl_function *F,gdouble max,gdouble reltol); #define NCM_INTEGRAL_PARTITION #define NCM_INTEGRAL_ALG #define NCM_INTEGRAL_ERROR #define NCM_INTEGRAL_ABS_ERROR
Details
ncm_integral_get_workspace ()
gsl_integration_workspace ** ncm_integral_get_workspace ();
This function provides a workspace to be used by numerical integration functions of GSL. It keeps a internal pool of workspaces and allocate a new one if the function is called and the pool is empty. It is designed to be used in a multithread enviroment. The workspace must be unlocked in order to return to the pool. This must be done using the ncm_memory_pool_return.
Returns : |
a pointer to gsl_integration_workspace structure. |
_NcmIntegrand2dimFunc ()
gdouble (*_NcmIntegrand2dimFunc) (gdouble x,gdouble y,gpointer userdata);
ncm_integral_locked_a_b ()
gint ncm_integral_locked_a_b (gsl_function *F,gdouble a,gdouble b,gdouble abstol,gdouble reltol,gdouble *result,gdouble *error);
This function uses a workspace from the pool and gsl_integration_qag function to perform the numerical integration in the [a, b] interval.
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a gsl_function wich is the integrand. |
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lower integration limit. |
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upper integration limit. |
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absolute tolerance. |
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relative tolerance. |
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a pointer to a gdouble in which the function stores the result. |
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a pointer to a gdouble in which the function stores the estimated error. |
Returns : |
the error code returned by gsl_integration_qag. |
ncm_integral_locked_a_inf ()
gint ncm_integral_locked_a_inf (gsl_function *F,gdouble a,gdouble abstol,gdouble reltol,gdouble *result,gdouble *error);
This function uses a workspace from the pool and gsl_integration_qagiu function to perform the numerical integration in the \f$ [a, \infty] \f$ interval.
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a gsl_function wich is the integrand. |
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lower integration limit. |
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absolute tolerance. |
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relative tolerance. |
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a pointer to a gdouble in which the function stores the result. |
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a pointer to a gdouble in which the function stores the estimated error. |
Returns : |
the error code returned by gsl_integration_qagiu. |
ncm_integral_cached_0_x ()
gint ncm_integral_cached_0_x (NcmFunctionCache *cache,gsl_function *F,gdouble x,gdouble *result,gdouble *error);
This function searchs for the nearest x_near value previously chosed as the upper integration limit and perform the integration at [x_near, x] interval. This result is summed to that obtained at [0, x_near] and then it is saved in the cache.
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a pointer to NcmFunctionCache. |
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a gsl_function wich is the integrand. |
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upper integration limit. |
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a pointer to a gdouble in which the function stores the result. |
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a pointer to a gdouble in which the function stores the estimated error. |
Returns : |
the error code returned by gsl_integration_qag. |
ncm_integral_cached_x_inf ()
gint ncm_integral_cached_x_inf (NcmFunctionCache *cache,gsl_function *F,gdouble x,gdouble *result,gdouble *error);
This function searchs for the nearest x_near value previously chosed as the lower integration limit and perform the integration at \f$ [x, x_{near}] \f$ interval. This result is summed to that obtained at \f$ [x_{near}, \infty] \f$ and then it is saved in the cache.
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a pointer to NcmFunctionCache. |
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a gsl_function wich is the integrand. |
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lower integration limit. |
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a pointer to a gdouble in which the function stores the result. |
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a pointer to a gdouble in which the function stores the estimated error. |
Returns : |
the error code returned by gsl_integration_qagiu. |
ncm_integrate_2dim ()
gboolean ncm_integrate_2dim (NcmIntegrand2dim *integ,gdouble xi,gdouble yi,gdouble xf,gdouble yf,gdouble epsrel,gdouble epsabs,gdouble *result,gdouble *error);
This function FIXME
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a pointer to NcmIntegrand2dim. |
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gbouble which is the lower integration limit of variable x. |
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gbouble which is the lower integration limit of variable y. |
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gbouble which is the upper integration limit of variable x. |
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gbouble which is the upper integration limit of variable y. |
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relative error |
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absolute error |
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a pointer to a gdouble in which the function stores the result. |
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a pointer to a gdouble in which the function stores the estimated error. |
Returns : |
a gboolean |
ncm_integral_fixed_new ()
NcmIntegralFixed * ncm_integral_fixed_new (gulong n_nodes,gulong rule_n,gdouble xl,gdouble xu);
This function prepares the NcmIntegralFixed with a grid with n_nodes - 1 intervals beteween xl and xu. In each interval it uses a fixed order (rule_n) Gauss-Legendre integration rule to determine the interval inner points. This results in a grid with (n_nodes - 1) * rule_n points.
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number of nodes in the full interval. |
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order of the Gauss-Legendre integration rule to be applied in each interval. |
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the interval lower limit. |
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the interval upper limit. |
Returns : |
a pointer to the newly created NcmIntegralFixed structure. |
ncm_integral_fixed_free ()
void ncm_integral_fixed_free (NcmIntegralFixed *intf);
This function frees the memory associated to NcmIntegralFixed.
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a pointer to NcmIntegralFixed. |
ncm_integral_fixed_calc_nodes ()
void ncm_integral_fixed_calc_nodes (NcmIntegralFixed *intf,gsl_function *F);
This function FIXME
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a pointer to NcmIntegralFixed. |
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a pointer to a gsl_function. |
ncm_integral_fixed_nodes_eval ()
gdouble ncm_integral_fixed_nodes_eval (NcmIntegralFixed *intf);
This function
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a pointer to NcmIntegralFixed. |
Returns : |
FIXME |
ncm_integral_fixed_integ_mult ()
gdouble ncm_integral_fixed_integ_mult (NcmIntegralFixed *intf,gsl_function *F);
This function
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a pointer to NcmIntegralFixed. |
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a pointer to gsl_function. |
Returns : |
FIXME |
ncm_integral_fixed_integ_posdef_mult ()
gdouble ncm_integral_fixed_integ_posdef_mult (NcmIntegralFixed *intf,gsl_function *F,gdouble max,gdouble reltol);
This function
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a pointer to NcmIntegralFixed. |
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a pointer to gsl_function. |
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FIXME |
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FIXME |
Returns : |
FIXME |