//! Example of optimizing the Rosenbrock function. //! //! y = f(x), where x = (x0, x1, ..., xi,... xn). //! Global minimum is x' = (1.0, 1.0, ...) for any xi. //! f(x') = 0 //! //! # Terms //! * `Goal function` - the function for optimization. y = f(x). //! * `Gene` - a single value of xi. //! * `Chromosome` - a point in the search space. x = (x0, x1, x2, ..., xn). //! * `Individual` - union of x and value of goal function. //! * `Population` - set of the individuals. //! * `Generation` - a number of iteration of genetic algorithm. use std::sync::mpsc; use std::thread; use ew::genetic::{ self, creation, cross, mutation, pairing, pre_birth, selection, GeneticOptimizer, }; use ew::tools::statistics::{get_predicate_success_vec_solution, StatFunctionsSolution}; use ew::tools::{logging, statistics, stopchecker}; use ew::{Goal, GoalFromFunction, Optimizer}; use ew_testfunc; /// Gene type type Gene = f32; /// Chromosomes type type Chromosomes = Vec; fn create_optimizer<'a>( chromo_count: usize, goal: Box + 'a>, ) -> GeneticOptimizer<'a, Chromosomes> { // General parameters // Search space. Any xi lies in [-500.0; 500.0] let minval: Gene = -2.0; let maxval: Gene = 2.0; // Count individuals in initial population let population_size = 700; let intervals = vec![(minval, maxval); chromo_count]; // Make the creator to create initial population. // RandomCreator will fill initial population with individuals with random chromosomes in a // given interval, let creator = creation::vec_float::RandomCreator::new(population_size, intervals.clone()); // Make a trait object for the pairing. // Pairing is algorithm of selection individuals for crossbreeding. // Tournament method. let pairing = pairing::RandomPairing::new(); // Crossbreeding algorithm. // Make a Cross trait object. The bitwise crossing for float genes. let single_cross = cross::FloatCrossExp::new(); let cross = cross::VecCrossAllGenes::new(Box::new(single_cross)); // Make a Mutation trait object. // Use bitwise mutation (change random bits with given probability). let mutation_probability = 80.0; let mutation_gene_count = 3; let single_mutation = mutation::BitwiseMutation::new(mutation_gene_count); let mutation = mutation::VecMutation::new(mutation_probability, Box::new(single_mutation)); // Pre birth. Throw away new chlld chromosomes if their genes do not lies if given intervals. let pre_births: Vec>> = vec![Box::new( pre_birth::vec_float::CheckChromoInterval::new(intervals.clone()), )]; // Stop checker. Stop criterion for genetic algorithm. // Stop algorithm after 3000 generation (iteration). let change_max_iterations = 2000; let change_delta = 1e-7; let stop_checker = stopchecker::CompositeAny::new(vec![ Box::new(stopchecker::Threshold::new(1e-6)), Box::new(stopchecker::GoalNotChange::new( change_max_iterations, change_delta, )), ]); // Make a trait object for selection. Selection is killing the worst individuals. // Kill all individuals if the value of goal function is NaN or Inf. // Kill the worst individuals to population size remained unchanged. let selections: Vec>> = vec![ Box::new(selection::KillFitnessNaN::new()), Box::new(selection::LimitPopulation::new(population_size)), ]; // Construct main optimizer struct let optimizer = genetic::GeneticOptimizer::new( goal, Box::new(stop_checker), Box::new(creator), Box::new(pairing), Box::new(cross), Box::new(mutation), selections, pre_births, ); optimizer } #[test] fn genetic_rosenbrock() { let cpu = num_cpus::get(); let dimension = 3; // Running count per CPU let run_count = 100 / cpu; // Statistics from all runnings let mut full_stat = statistics::Statistics::new(); let (tx, rx) = mpsc::channel(); for _ in 0..cpu { let current_tx = mpsc::Sender::clone(&tx); thread::spawn(move || { let mut local_full_stat = statistics::Statistics::new(); for _ in 0..run_count { // Statistics from single run let mut statistics_data = statistics::Statistics::new(); { // Make a trait object for goal function let goal = GoalFromFunction::new(ew_testfunc::rosenbrock); let mut optimizer = create_optimizer(dimension, Box::new(goal)); // Add logger to collect statistics let stat_logger = Box::new(statistics::StatisticsLogger::new(&mut statistics_data)); let loggers: Vec>> = vec![stat_logger]; optimizer.set_loggers(loggers); // Run optimization optimizer.find_min(); } // Add current running statistics to full statistics local_full_stat.unite(statistics_data); } current_tx.send(local_full_stat).unwrap(); }); } // Collect data from threads for _ in 0..cpu { let statistics_data = rx.recv().unwrap(); full_stat.unite(statistics_data); } let valid_answer = vec![1.0; dimension]; let delta = vec![1e-2; dimension]; let success_rate = full_stat .get_results() .get_success_rate(get_predicate_success_vec_solution(valid_answer, delta)) .unwrap(); assert!(success_rate >= 0.75); }