A very common Bézier curve that goes from (0,0) to (1,1) with control points at (0.4,0) and (0.2,1).

This is the standard transition curve for a lot of animation systems.

Note This only approximates a Catmull-Rom spline, it won't successsfully round trip with toCatmullRom because the control points are lost.

Given a spline and a proportion, return the point on the spline at that proportion.

Takes a bezier and normalizes it so that it goes from (0,0) to (1,1).

Given

• toPoint function which takes 0-1 and returns a point, and
• steps The number of steps to render

Return a list of splines that approximates the curve.

Split a spline at a particular parameter value, resulting in two smaller splines.

Note, this is not the intuitive version you're thinking of.

The math here comes the fromEndpoints constructor in elm-geometry

https://github.com/ianmackenzie/elm-geometry/blob/3.9.0/src/CubicSpline2d.elm#L174

Render a spline to a string that can be used in SVG

e.g. (M100,250 C100,100 400,100 400,250)

This uses absolute coordinates.

Normalize and render to a string that can be used in CSS

e.g. cubic-bezier(0.1, 0.7, 1.0, 0.1)