naginterfaces.library.quad.dim1_inf_exp_wt¶
- naginterfaces.library.quad.dim1_inf_exp_wt(f, n, data=None)[source]¶
dim1_inf_exp_wt
returns the Gaussian quadrature approximation for the specific problem . The degrees of precision catered for are: , , , , , , , and , corresponding to values of , , , , , , , and , where is the number of weights.For full information please refer to the NAG Library document for d01ub
https://support.nag.com/numeric/nl/nagdoc_30.2/flhtml/d01/d01ubf.html
- Parameters
- fcallable (fv, istop) = f(x, istop, data=None)
must return the integrand function values for the given , for .
- Parameters
- xfloat, ndarray, shape
The points at which the integrand function must be evaluated.
- istopint
.
- dataarbitrary, optional, modifiable in place
User-communication data for callback functions.
- Returns
- fvfloat, array-like, shape
must contain the value of the integrand evaluated at the point , for .
- istopint
You may set to a negative number if at any time it is impossible to evaluate the function . In this case
dim1_inf_exp_wt
halts with set to the value of and the value returned in will be that of a non-signalling NaN.
- nint
specifies the number of weights and abscissae to be used.
- dataarbitrary, optional
User-communication data for callback functions.
- Returns
- ansfloat
If no exception or warning is raised, contains an approximation to the integral. Otherwise, will be a non-signalling NaN.
- Raises
- NagValueError
- (errno )
The user has halted the calculation.
- (errno )
On entry, .
Constraint: .
- (errno )
On entry, .
is not one of the allowed values.
- Notes
dim1_inf_exp_wt
uses the weights and the abscissae such that is approximated by to maximum precision i.e., it is exact when is a polynomial of degree .
- References
Golub, G H and Welsch, J H, 1969, Calculation of Gauss quadrature rules, Math. Comput. (23), 221–230