Module splines::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.