Module interpolate

The Interpolate trait and associated symbols.

The Interpolate trait is the central concept of the crate. It enables a spline to be sampled at by interpolating in between control points.

In order for a type to be used in Spline<K, V>, some properties must be met about the K type must implementing several traits:

• One, giving a neutral element for the multiplication monoid.
• Additive, making the type additive (i.e. one can add or subtract with it).
• Linear, unlocking linear combinations, required for interpolating.
• Trigo, a trait giving π and cosine, required for e.g. cosine interpolation.

Feel free to have a look at current implementors for further help.

Why doesn’t this crate use num-traits instead of defining its own traits?

The reason for this is quite simple: this crate provides a no_std support, which is not currently available easily with num-traits. Also, if something changes in num-traits with those traits, it would make this whole crate unstable.

Traits

Additive

Set of types that support additions and subtraction.

Interpolate

Keys that can be interpolated in between. Implementing this trait is required to perform sampling on splines.

Linear

Set of additive types that support outer multiplication and division, making them linear.

One

Types with a neutral element for multiplication.

Trigo

Types with a sane definition of π and cosine.

Functions

cubic_bezier_def

Default implementation of Interpolate::cubic_bezier.

cubic_hermite_def

Default implementation of Interpolate::cubic_hermite.

quadratic_bezier_def

Default implementation of Interpolate::quadratic_bezier.