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use std::fmt::Debug;
use rand::distributions::{Sample, Weighted, WeightedChoice};
pub trait Instance {
fn validate(&self) -> u64;
fn evaluate(&self) -> u64;
fn cross_over(&self, other: &Self, probability: f32) -> (Self, Self)
where
Self: Sized;
fn mutate(&mut self, probability: f32);
}
pub trait Generate<T>
where
T: Instance,
{
fn generate() -> T;
}
pub trait Maximizable: Instance {
fn score(&self) -> i64 {
let v = self.validate();
if v == 0 {
self.evaluate() as i64
} else {
-(v as i64)
}
}
}
pub fn maximize<T, G>(
pop_size: usize,
crossover_probability: f32,
mutation_probability: f32,
best_score: Option<i64>,
max_iter: Option<u32>,
) -> Option<(T, i64)>
where
T: Clone + Maximizable + Debug + Default,
G: Generate<T>,
{
let mut population: Vec<T> = (0..pop_size).map(|_| G::generate()).collect();
let mut scores: Vec<i64> = population.iter().map(|x| x.score()).collect();
for _ in 0..max_iter.unwrap_or(100) {
let mut children: Vec<T> = vec![];
let mut children_scores: Vec<i64> = vec![];
for (i, p1) in population.iter().enumerate() {
for p2 in population.iter().skip(i + 1) {
let (mut c1, mut c2) = p1.cross_over(p2, crossover_probability);
c1.mutate(mutation_probability);
c2.mutate(mutation_probability);
children_scores.push(c1.score());
children.push(c1);
children_scores.push(c2.score());
children.push(c2);
}
}
let min_score: i64 = scores
.iter()
.chain(children_scores.iter())
.min()
.unwrap()
.clone();
let mut weights: Vec<Weighted<(i64, T)>> = scores
.iter()
.chain(children_scores.iter())
.zip(population.into_iter().chain(children.into_iter()))
.enumerate()
.map(|(_, (x, item))| Weighted {
weight: (*x - min_score + 1) as u32,
item: (*x, item),
})
.collect();
let mut wc = WeightedChoice::new(&mut weights);
let mut rng = rand::thread_rng();
let selected: Vec<(i64, T)> = (0..pop_size).map(|_| wc.sample(&mut rng)).collect();
scores = selected.iter().map(|(score, _)| *score).collect();
population = selected.into_iter().map(|(_, instance)| instance).collect();
let best = population
.iter()
.zip(scores.iter())
.max_by_key(|x| x.1)
.unwrap();
if best_score.is_some() && *best.1 >= best_score.unwrap() {
break;
}
}
population.into_iter().zip(scores).max_by_key(|x| x.1)
}