how to calculate spline of the function?

Hi. How can i obtain a cubic spline coefficients, if i know values and derivatives of the function? For example:

args = [-1, 0, 1];
vals = [-1, 0, 1];
derivs = [3, 0, 3];
subic_spline_coefs = ...?

I'd like obtain coefs using derivatives information.

Answer 1

[Andrei Bobrov]

X = [args;args]
Y = [vals;derivs]
P = spapi(4,X(:),Y(:))

after comment

ppp = csape([-1 1],[3 -1 1 3],[1 1])

eg

polyval(ppp.coefs,1)

[cupuyc a]

It work. Unfortunately, I can't understand which principle.

For the function y = x^3 I'd like to obntain the following coefficients: [1 0 0 0]

But I've obtained:

knots: [-1 -1 -1 -1 -0.3333 0.3333 1 1 1 1]

coefs: [-1 -0.3333 0.1111 -0.1111 0.3333 1]