heuropt 0.1.0

A practical Rust toolkit for heuristic single-, multi-, and many-objective optimization.
Documentation
//! Single-objective tournament selection.

use rand::Rng as _;

use crate::core::candidate::Candidate;
use crate::core::objective::{Direction, ObjectiveSpace};
use crate::core::rng::Rng;

/// Tournament selection for single-objective problems.
///
/// Each tournament samples `tournament_size` candidates uniformly with
/// replacement; the best one's decision is cloned into the output. Tiebreak
/// rules (spec ยง10.2):
///
/// 1. Feasible candidates beat infeasible candidates.
/// 2. Among infeasibles, smaller `constraint_violation` wins.
/// 3. Among feasibles, the direction-correct best objective wins.
///
/// # Panics
/// If `objectives` does not contain exactly one objective, or if `population`
/// is empty when `count > 0`, or if `tournament_size == 0`.
pub fn tournament_select_single_objective<D: Clone>(
    population: &[Candidate<D>],
    objectives: &ObjectiveSpace,
    tournament_size: usize,
    count: usize,
    rng: &mut Rng,
) -> Vec<D> {
    assert!(
        objectives.is_single_objective(),
        "tournament_select_single_objective requires exactly one objective",
    );
    assert!(
        tournament_size > 0,
        "tournament_size must be greater than 0",
    );
    if count == 0 {
        return Vec::new();
    }
    assert!(
        !population.is_empty(),
        "tournament_select_single_objective called on empty population with count > 0",
    );

    let direction = objectives.objectives[0].direction;
    let mut out = Vec::with_capacity(count);
    for _ in 0..count {
        let mut best_idx = rng.random_range(0..population.len());
        for _ in 1..tournament_size {
            let challenger = rng.random_range(0..population.len());
            if challenger_wins(&population[challenger], &population[best_idx], direction) {
                best_idx = challenger;
            }
        }
        out.push(population[best_idx].decision.clone());
    }
    out
}

fn challenger_wins<D>(c: &Candidate<D>, b: &Candidate<D>, dir: Direction) -> bool {
    match (c.evaluation.is_feasible(), b.evaluation.is_feasible()) {
        (true, false) => true,
        (false, true) => false,
        (false, false) => c.evaluation.constraint_violation < b.evaluation.constraint_violation,
        (true, true) => {
            let cv = c.evaluation.objectives.first().copied().unwrap_or(f64::INFINITY);
            let bv = b.evaluation.objectives.first().copied().unwrap_or(f64::INFINITY);
            match dir {
                Direction::Minimize => cv < bv,
                Direction::Maximize => cv > bv,
            }
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::core::evaluation::Evaluation;
    use crate::core::objective::Objective;
    use crate::core::rng::rng_from_seed;

    fn cand_min(d: u32, v: f64) -> Candidate<u32> {
        Candidate::new(d, Evaluation::new(vec![v]))
    }

    #[test]
    fn large_tournament_picks_best_minimize() {
        let s = ObjectiveSpace::new(vec![Objective::minimize("f")]);
        let pop = [cand_min(1, 10.0), cand_min(2, 1.0), cand_min(3, 5.0)];
        let mut rng = rng_from_seed(1);
        // Tournament size equal to population almost always returns the best.
        let picks = tournament_select_single_objective(&pop, &s, 100, 10, &mut rng);
        assert!(picks.iter().all(|&d| d == 2));
    }

    #[test]
    fn large_tournament_picks_best_maximize() {
        let s = ObjectiveSpace::new(vec![Objective::maximize("score")]);
        let pop = [cand_min(1, 10.0), cand_min(2, 1.0), cand_min(3, 5.0)];
        let mut rng = rng_from_seed(2);
        let picks = tournament_select_single_objective(&pop, &s, 100, 10, &mut rng);
        assert!(picks.iter().all(|&d| d == 1));
    }

    #[test]
    fn feasible_beats_infeasible() {
        let s = ObjectiveSpace::new(vec![Objective::minimize("f")]);
        let pop = [
            Candidate::new(1u32, Evaluation::constrained(vec![0.0], 5.0)),
            Candidate::new(2u32, Evaluation::new(vec![100.0])),
        ];
        let mut rng = rng_from_seed(3);
        let picks = tournament_select_single_objective(&pop, &s, 50, 20, &mut rng);
        // Feasible candidate (decision 2) wins regardless of objective value.
        assert!(picks.iter().all(|&d| d == 2));
    }

    #[test]
    #[should_panic(expected = "exactly one objective")]
    fn multi_objective_panics() {
        let s = ObjectiveSpace::new(vec![
            Objective::minimize("f1"),
            Objective::minimize("f2"),
        ]);
        let pop = [cand_min(1, 1.0)];
        let mut rng = rng_from_seed(0);
        let _ = tournament_select_single_objective(&pop, &s, 2, 1, &mut rng);
    }
}