avila-clustering 0.1.0

//! Physics-aware clustering that preserves conservation laws

use crate::{ClusteringError, Result};
use ndarray::{Array1, Array2, ArrayView2};

/// Conservation laws to enforce
#[derive(Debug, Clone, Copy)]
pub enum ConservationLaw {
    /// Energy conservation
    Energy,
    /// Momentum conservation
    Momentum,
    /// Angular momentum conservation
    AngularMomentum,
    /// Charge conservation
    Charge,
}

/// Physics-aware clustering
pub struct PhysicsAwareClustering {
    n_clusters: usize,
    conservation_laws: Vec<ConservationLaw>,
    tolerance: f64,
}

impl PhysicsAwareClustering {
    pub fn new(n_clusters: usize) -> Self {
        Self {
            n_clusters,
            conservation_laws: Vec::new(),
            tolerance: 1e-6,
        }
    }

    pub fn conserve(mut self, law: ConservationLaw) -> Self {
        self.conservation_laws.push(law);
        self
    }

    pub fn tolerance(mut self, tol: f64) -> Self {
        self.tolerance = tol;
        self
    }

    pub fn fit(&self, data: &ArrayView2<f64>) -> Result<PhysicsClusteringResult> {
        // TODO: Implement clustering with conservation constraints
        // 1. Apply standard clustering algorithm
        // 2. Enforce conservation laws as constraints
        // 3. Use Lagrange multipliers or projection methods
        unimplemented!("PhysicsAwareClustering::fit")
    }
}

pub struct PhysicsClusteringResult {
    pub labels: Array1<usize>,
    pub centroids: Array2<f64>,
    pub conservation_errors: Vec<f64>,
}

impl PhysicsClusteringResult {
    /// Check if conservation laws are satisfied within tolerance
    pub fn is_valid(&self, tolerance: f64) -> bool {
        self.conservation_errors.iter().all(|&err| err < tolerance)
    }
}

/// Validate conservation of a specific law
pub fn validate_conservation(
    data: &ArrayView2<f64>,
    labels: &Array1<usize>,
    law: ConservationLaw,
) -> Result<f64> {
    // TODO: Compute conservation error for given law
    unimplemented!("validate_conservation")
}