create in python a specific F-curve Recent versions of Blender do not generate any type of F-curve.

In particular, after inserting a key position image on the object, I would like to enter:

-for Xposition: f (t) = 8 * cos (t ^ 3)

-for Yposition: f (t) = 8 * sin (t ^ 3)

-for Zposition: f (t) = 0


which is impossible with an F-curve modifier, to create on the object a circular plane motion of radius 8 and accelerated

All that remains is Python.

1) A python script for this?

2) More generally, I'm looking for a tutorial elaborating a Python script to enter any type of mathematical function of a single variable, representing an F-curve related to any keyframe insertion.

Thank you for your help
The Driver System

Can use the driver system for this.  An fcurve is a series of frame, value points. The value of an fcurve at any frame can be found via FCurve.evaluate(frame) A scripted expression driver evaluates its expression at each frame.  context.scene.current_frame is already known to the driver namespace as frame, as are a considerable number of math methods and properties including sin, cos and pi

Type simple expressions directly into the property preceded by a hash "#". 



Will show as purple if all is Ok.  Can edit at any time by clicking on the driver.