A value of type QAnimation b v m is an animation (a time-varying diagram with start and end times) that can be rendered by backspace b, with vector space v and monoidal annotations of type m.

A value of type Animation b v is an animation (a time-varying diagram with start and end times) in vector space v that can be rendered by backspace b.

Note that Animation is actually a synonym for QAnimation where the type of the monoidal annotations has been fixed to Any (the default).

Automatically assign fixed a envelope to the entirety of an animation by sampling the envelope at a number of points in time and taking the union of all the sampled envelopes to form the "hull". This hull is then used uniformly throughout the animation.

This is useful when you have an animation that grows and shrinks in size or shape over time, but you want it to take up a fixed amount of space, e.g. so that the final rendered movie does not zoom in and out, or so that it occupies a fixed location with respect to another animation, when combining animations with something like |||.

By default, 30 samples per time unit are used; to adjust this number see animEnvelope'.

See also animRect for help constructing a background to go behind an animation.

Like animEnvelope, but with an adjustible sample rate. The first parameter is the number of samples per time unit to use. Lower rates will be faster but less accurate; higher rates are more accurate but slower.

animRect works similarly to animEnvelope for 2D diagrams, but instead of adjusting the envelope, simply returns the smallest bounding rectangle which encloses the entire animation. Useful for e.g. creating a background to go behind an animation.

Uses 30 samples per time unit by default; to adjust this number see animRect'.

Like animRect, but with an adjustible sample rate. The first parameter is the number of samples per time unit to use. Lower rates will be faster but less accurate; higher rates are more accurate but slower.