Module conic 

Conic sections: circle, ellipse, hyperbola, parabola.

Each is a shape described by a Frame and one or two size parameters. The frame is not decoration: it fixes the parameterization. A circle’s angular parameter is measured from its frame’s x axis towards its y axis, so “the point at 0” is a specific place that survives the shape being stored, reloaded and transformed.

Conics live in their frame’s xy plane, with the frame’s z as the normal.

Evaluation and derivatives are in crate::elementary; this module holds the descriptions and the queries that follow directly from them.

A straight line needs no type of its own: it is exactly an Axis, and the conventional design’s separate line type carries no information the axis does not.

Structs

Circle

A circle in space.

Circle2

A circle in the plane.

Ellipse

An ellipse in space.

Ellipse2

An ellipse in the plane.

Hyperbola

A hyperbola in space.

Hyperbola2

A hyperbola in the plane.

Parabola

A parabola in space, opening along its frame’s x axis.

Parabola2

A parabola in the plane.

Functions

complete_elliptic_e

The complete elliptic integral of the second kind, E(m), for m in [0, 1].