How to check the direction of a Bezier curve

The direction of a Bezier curve, visually indicated by its normals slope, can be checked by the indices of its points.

The Bezier curve points indices always ascending in the curve direction.

So, having two points on the curve we can get the direction through their indices:

 

Creating points on a Bezier curve

Bezier curves are drawing by four points: two main points (p0, p1) and two handle points (p0_hr, ​​p1_hl).

To add an additional point p2 to a curve at a moment t, with t changes from 0 to 1 and represents the ratio of the p2 point location to the total length of the curve, we need to do the following:

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