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39.2 Initializing the B-splines solver

The computation of B-spline functions requires a preallocated workspace of type gsl_bspline_workspace. If B-spline derivatives are also required, an additional gsl_bspline_deriv_workspace is needed.

— Function: gsl_bspline_workspace * gsl_bspline_alloc (const size_t k, const size_t nbreak)

This function allocates a workspace for computing B-splines of order k. The number of breakpoints is given by nbreak. This leads to n = nbreak + k - 2 basis functions. Cubic B-splines are specified by k = 4. The size of the workspace is O(5k + nbreak).

— Function: void gsl_bspline_free (gsl_bspline_workspace * w)

This function frees the memory associated with the workspace w.

— Function: gsl_bspline_deriv_workspace * gsl_bspline_deriv_alloc (const size_t k)

This function allocates a workspace for computing the derivatives of a B-spline basis function of order k. The size of the workspace is O(2k^2).

— Function: void gsl_bspline_deriv_free (gsl_bspline_deriv_workspace * w)

This function frees the memory associated with the derivative workspace w.