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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).

Dyn Compatibility§

This trait is dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety".

Implementors§