Following the last message.
This means each node of the spline is endowed with too much role. I'm the node,
but I control the direction, too.

I found that the the direction at p1 is the vector (p2-p0), and the direction at
p2 is the vector (p3-p1).(See the picture)

The complete article about the cubic spline here:
https://en.wikipedia.org/wiki/Cubic_Hermite_spline

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