Enum AnalyticSurface 

pub enum AnalyticSurface {
    Plane {
        origin: Vec3,
        u_dir: Vec3,
        v_dir: Vec3,
        u_domain: [f64; 2],
        v_domain: [f64; 2],
    },
    RuledRevolution {
        frame: RevolutionFrame,
        rho0: f64,
        rho1: f64,
        height: f64,
    },
    Sphere {
        frame: RevolutionFrame,
        radius: f64,
    },
    Torus {
        frame: RevolutionFrame,
        major_radius: f64,
        minor_radius: f64,
    },
    Revolution {
        frame: RevolutionFrame,
        spans: usize,
        sweep: f64,
        generatrix: NurbsCurve,
    },
}

Variants

Plane

Affine patch: S(u,v) = origin + u·u_dir + v·v_dir over the knot domain.

Fields

origin: Vec3

u_dir: Vec3

v_dir: Vec3

u_domain: [f64; 2]

v_domain: [f64; 2]

RuledRevolution

Full revolution of a straight generatrix: cylinders (rho0 == rho1) and cones/frusta, with v linear along the generatrix over [0, 1].

Fields

frame: RevolutionFrame

rho0: f64

rho1: f64

height: f64

Sphere

Full revolution of a -π/2..π/2 polar meridian arc (two 90° spans).

Fields

frame: RevolutionFrame

radius: f64

Torus

Full revolution of a full tube circle (four 90° spans in v).

Fields

frame: RevolutionFrame

major_radius: f64

minor_radius: f64

Revolution

GENERAL revolution (full or partial sweep) of an arbitrary generatrix — every other make_revolution product the classic quadric variants above do not cover. The closest surface point to a query lies in the query’s meridian half-plane, so projection reduces exactly to a 1D projection onto the generatrix (rotated rigidly about the axis); out-of-sweep queries compare the two boundary meridians instead (Golovanov §4.13: prefer analytic constructions — this was the unrecognized carrier that sent tangent glue pairs into the marcher).

Fields

frame: RevolutionFrame

spans: usize

sweep: f64

generatrix: NurbsCurve

Implementations

impl AnalyticSurface

pub fn project( &self, surface: &NurbsSurface, point: Vec3, ) -> Option<SurfaceProjection>

Closed-form point projection in the surface’s own parameterization. Returns the exact nearest parameter; the caller evaluates the NURBS at that parameter so results stay bit-consistent with the carrier.

pub fn frame(&self) -> Option<&RevolutionFrame>

True when the closed-form projection is the exact global minimizer (everywhere except on-axis queries, where any meridian ties).

Trait Implementations

impl Clone for AnalyticSurface

fn clone(&self) -> AnalyticSurface

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for AnalyticSurface

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

Formats the value using the given formatter.