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<h3 class="section">39.2 Initializing the B-splines solver</h3>

<p><a name="index-basis-splines_002c-initializing-2594"></a>
The computation of B-spline functions requires a preallocated
workspace of type <code>gsl_bspline_workspace</code>. If B-spline
derivatives are also required, an additional
<code>gsl_bspline_deriv_workspace</code> is needed.

<div class="defun">
&mdash; Function: gsl_bspline_workspace * <b>gsl_bspline_alloc</b> (<var>const size_t k, const size_t nbreak</var>)<var><a name="index-gsl_005fbspline_005falloc-2595"></a></var><br>
<blockquote><p><a name="index-gsl_005fbspline_005fworkspace-2596"></a>This function allocates a workspace for computing B-splines of order
<var>k</var>. The number of breakpoints is given by <var>nbreak</var>. 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). 
</p></blockquote></div>

<div class="defun">
&mdash; Function: void <b>gsl_bspline_free</b> (<var>gsl_bspline_workspace * w</var>)<var><a name="index-gsl_005fbspline_005ffree-2597"></a></var><br>
<blockquote><p>This function frees the memory associated with the workspace <var>w</var>. 
</p></blockquote></div>

<div class="defun">
&mdash; Function: gsl_bspline_deriv_workspace * <b>gsl_bspline_deriv_alloc</b> (<var>const size_t k</var>)<var><a name="index-gsl_005fbspline_005fderiv_005falloc-2598"></a></var><br>
<blockquote><p><a name="index-gsl_005fbspline_005fderiv_005fworkspace-2599"></a>This function allocates a workspace for computing the derivatives of a
B-spline basis function of order <var>k</var>.  The size of the workspace
is O(2k^2). 
</p></blockquote></div>

<div class="defun">
&mdash; Function: void <b>gsl_bspline_deriv_free</b> (<var>gsl_bspline_deriv_workspace * w</var>)<var><a name="index-gsl_005fbspline_005fderiv_005ffree-2600"></a></var><br>
<blockquote><p>This function frees the memory associated with the derivative
workspace <var>w</var>. 
</p></blockquote></div>

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