loess-rs 0.9.0

LOESS (Locally Estimated Scatterplot Smoothing)
Documentation 
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//! Specialized SIMD solvers for 1D, 2D, and 3D LOESS regression.
//!
//! This module routes to hand-optimized accumulators and solver implementations
//! for the most common low-dimensional cases, bypassing the generic path.

// External dependencies
use num_traits::Float;

// Specialized 1D accumulators
pub mod accumulators_1d;

// Specialized 2D accumulators
pub mod accumulators_2d;

// Specialized 3D accumulators
pub mod accumulators_3d;

// Implementations of specialized solvers.
pub mod impls;

// Trait for specialized low-dimensional linear solvers.
// Extracted from FloatLinalg to keep specialized logic near regression code.
pub trait SolverLinalg: Float + 'static {
    // Solve 2x2 system of linear equations Ax = b.
    fn solve_2x2(a: [Self; 4], b: [Self; 2]) -> Option<[Self; 2]>;

    // Solve 3x3 system of linear equations Ax = b.
    fn solve_3x3(a: [Self; 9], b: [Self; 3]) -> Option<[Self; 3]>;

    // Solve 6x6 system of linear equations Ax = b.
    fn solve_6x6(a: [Self; 36], b: [Self; 6]) -> Option<[Self; 6]>;

    // Accumulate Normal Equations for 1D Linear Case.
    fn accumulate_1d_linear(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query: Self,
        xtwx: &mut [Self; 4],
        xtwy: &mut [Self; 2],
    );

    // Accumulate Normal Equations for 1D Quadratic Case.
    fn accumulate_1d_quadratic(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query: Self,
        xtwx: &mut [Self; 9],
        xtwy: &mut [Self; 3],
    );

    // Accumulate Normal Equations for 1D Cubic Case.
    fn accumulate_1d_cubic(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query: Self,
        xtwx: &mut [Self; 16],
        xtwy: &mut [Self; 4],
    );

    // Accumulate Normal Equations for 2D Linear Case.
    #[allow(clippy::too_many_arguments)]
    fn accumulate_2d_linear(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query_x: Self,
        query_y: Self,
        xtwx: &mut [Self; 9],
        xtwy: &mut [Self; 3],
    );

    // Accumulate Normal Equations for 2D Quadratic Case.
    #[allow(clippy::too_many_arguments)]
    fn accumulate_2d_quadratic(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query_x: Self,
        query_y: Self,
        xtwx: &mut [Self; 36],
        xtwy: &mut [Self; 6],
    );

    // Accumulate Normal Equations for 2D Cubic Case.
    #[allow(clippy::too_many_arguments)]
    fn accumulate_2d_cubic(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query_x: Self,
        query_y: Self,
        xtwx: &mut [Self; 100],
        xtwy: &mut [Self; 10],
    );

    // Accumulate Normal Equations for 3D Linear Case.
    #[allow(clippy::too_many_arguments)]
    fn accumulate_3d_linear(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query_x: Self,
        query_y: Self,
        query_z: Self,
        xtwx: &mut [Self; 16],
        xtwy: &mut [Self; 4],
    );

    // Accumulate Normal Equations for 3D Quadratic Case.
    #[allow(clippy::too_many_arguments)]
    fn accumulate_3d_quadratic(
        x: &[Self],
        y: &[Self],
        indices: &[usize],
        weights: &[Self],
        query_x: Self,
        query_y: Self,
        query_z: Self,
        xtwx: &mut [Self; 100],
        xtwy: &mut [Self; 10],
    );
}