herm_spline.m

Cubic Hermite spline on [0,1] interval from values and derivatives at the interval edges.

Syntax

    y=herm_spline(f0,df0,f1,df1,x)

Parameters

   f0  - function value(s) at the left edge, a real
         scalar or array

   df0 - function derivative(s) at the left edge,
         a real scalar or array

   f1  - function value(s) at the right edge, a real
         scalar or array

   df1 - function derivative(s) at the right edge,
         a real scalar or array

   x   - query point(s) inside [0,1] interval,
         a real scalar or array

Outputs

   y   - the value of the spline(s) at the query point(s)

Notes

Function values and derivatives can be scalars (in which case the same spline is evaluated at all query points) or arrays of the same size as x, in which case multiple splines are evaluated at their corresponding query points.

See also

Numerical infrastructure

Version 2.6, authors: Ilya Kuprov