OptiVec: VF_splinederiv2

VF_splinederiv2

VD_splinederiv2

VE_splinederiv2

Function

Generate a second-derivative table from an X-Y-table to be used for cubic-spline interpolation.

Syntax C/C++	#include <VFstd.h> void VF_splinederiv2( fVector Y2, fVector XTab, fVector YTab, ui size, int specify, float Yp0, float Ypn );
C++ VecObj	#include <OptiVec.h> void vector<T>::splinederiv2( const vector<T>& XTab, const vector<T>& YTab, int specify, T Yp0, T Ypn );
Pascal/Delphi	uses VFstd; procedure VF_splinederiv2( Y2, XTab, YTab:fVector; size:UInt; specify:IntBool; Yp0, Ypn:Single );

Description

A table of second derivatives of YTab is generated to be used for cubic-spline interpolation with VF_splineinterpol. In order to get a unique solution, two additional conditions have to be specified. Setting specify to FALSE (0) yields the "natural cubic spline" with Y2 being set to zero at both end-points; in this case, Yp0 and Ypn have no influence. Setting specify to TRUE (1) yields Y2 calculated in such a way that the first(!) derivative at the zero'th and at the last position equals Yp0 and Ypn, resp.

Error handling

none

Return value

none