Struct SweptEnvelope 

pub struct SweptEnvelope {
    pub centre: Vec3,
    pub axis: Vec3,
    pub radial: Vec3,
    pub major: f64,
    pub minor: f64,
    pub turn: f64,
    pub residual: f64,
}

The recognized configuration: a circular section on a circular planar path, tight enough that the envelope crosses itself.

Fields

centre: Vec3

The path circle’s centre — the revolve’s origin.

axis: Vec3

The path plane’s unit normal, oriented so the sweep runs +turn.

radial: Vec3

Unit vector from centre to the section’s centre.

major: f64

R, the path’s radius of curvature.

minor: f64

r, the section’s radius.

turn: f64

Θ, the turn the sweep makes, in (0, 2π].

residual: f64

The worst relative residual either circle read on recognition.

Implementations

impl SweptEnvelope

pub fn ratio(&self) -> f64

ρκ — r/R. The envelope self-intersects at and past 1.

pub fn chord_half_length(&self) -> f64

Half the axis chord, √(r² − R²): how far the section reaches past the axis on each side. Zero for a section TANGENT to the axis.

pub fn tangent(&self) -> bool

True when the section only TOUCHES the axis: no lemon, no chord, and the apple is the whole disc revolved.

pub fn apple_volume(&self) -> f64

The APPLE’s closed-form volume: Θ·∫∫_{x≥0} x dA.

pub fn lemon_volume(&self) -> f64

The LEMON’s closed-form volume: Θ·∫∫_{x<0} |x| dA. Zero for a tangent section, and never counted twice — a FULL turn puts the lemon inside the apple and swept_envelope_volume is the one to read there.

Trait Implementations

impl Clone for SweptEnvelope

fn clone(&self) -> Self

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for SweptEnvelope

impl Debug for SweptEnvelope

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.