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Curve

proof_engine::math::curves

Trait Curve 

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pub trait Curve: Send + Sync {
    // Required method
    fn sample(&self, t: f32) -> Vec3;

    // Provided methods
    fn tangent(&self, t: f32) -> Vec3 { ... }
    fn unit_tangent(&self, t: f32) -> Vec3 { ... }
    fn normal_2d(&self, t: f32) -> Vec3 { ... }
    fn arc_length(&self, n: u32) -> f32 { ... }
    fn build_arc_table(&self, n: u32) -> ArcTable { ... }
    fn sample_uniform(&self, n: usize) -> Vec<Vec3> { ... }
    fn sample_arc_uniform(&self, n: usize, table_resolution: u32) -> Vec<Vec3> { ... }
    fn bounding_box(&self, resolution: u32) -> (Vec3, Vec3) { ... }
    fn closest_point(&self, query: Vec3, resolution: u32) -> (f32, Vec3) { ... }
}
Expand description

Common interface for parametric curves.

Required Methods§

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fn sample(&self, t: f32) -> Vec3

Sample position at parameter t ∈ [0, 1].

Provided Methods§

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fn tangent(&self, t: f32) -> Vec3

Sample tangent (unnormalized derivative) at t.

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fn unit_tangent(&self, t: f32) -> Vec3

Sample unit tangent at t.

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fn normal_2d(&self, t: f32) -> Vec3

Sample the normal (perpendicular to tangent) at t, in the XY plane.

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fn arc_length(&self, n: u32) -> f32

Approximate arc length using n segments.

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fn build_arc_table(&self, n: u32) -> ArcTable

Build an arc-length table with n segments for uniform-speed queries.

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fn sample_uniform(&self, n: usize) -> Vec<Vec3>

Sample n evenly-spaced points along the curve (by parameter).

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fn sample_arc_uniform(&self, n: usize, table_resolution: u32) -> Vec<Vec3>

Sample n points at equal arc-length intervals.

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fn bounding_box(&self, resolution: u32) -> (Vec3, Vec3)

Bounding box as (min, max).

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fn closest_point(&self, query: Vec3, resolution: u32) -> (f32, Vec3)

Find the closest point on the curve to query, returning (t, point).

Implementors§