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// Copyright (c) 2020 Delirious Penguin // // This Source Code Form is subject to the terms of the Mozilla Public // License, v. 2.0. If a copy of the MPL was not distributed with this // file, You can obtain one at http://mozilla.org/MPL/2.0/. //! This library can be used to fairly match students to categories (or activities). Or students to schools. Or anything to anything else. //! //! # Background //! //! The matching problem this library solves is mathematically know as the residence problem and is a subset of the [stable marriage problem](https://en.wikipedia.org/wiki/Stable_marriage_problem). //! There are sereval known algorithms that solve this problem, each with there own pros and cons. For more information about the subject see also [Matching algorithms for the secondary school admission problem in Amsterdam](https://staff.fnwi.uva.nl/b.bredeweg/pdf/BSc/20152016/Klijnsma.pdf). //! //! # Algorithm //! //! At this time this library only implements the `Deferred Acceptance - Single Tie Break` algorithm. The library has been designed to make the implementation of other algorithms possible (it just needs to be done ;). //! //! # Usage //! //! ## Default matching //! //! Students are distributed over multiple categories, but each student can only be placed once. //! //! ``` //! use matchmaker::da_stb::match_students; //! use matchmaker::{Category, Student}; //! use rand::thread_rng; //! use std::collections::VecDeque; //! //! // Create categories //! let cooking = Category::new("Cooking", 10); //! let reading = Category::new("Reading", 10); //! let walking = Category::new("Walking", 5); //! //! // Create student Bert //! // Bert wishes to be placed in category cooking or reading (in that order) //! let bert = Student::new( //! "Bert", //! VecDeque::from(vec![cooking.clone(), reading.clone()]), //! Vec::new(), //! ); //! //! // Create student Suze //! // Suze wishes to be placed in category cooking or reading (in that order), //! // but does not wish to be placed in category walking //! let suze = Student::new( //! "Suze", //! VecDeque::from(vec![reading.clone(), cooking.clone()]), //! Vec::from([walking.clone()]), //! ); //! //! let mut rng = thread_rng(); //! let categories = Vec::from([cooking, reading, walking]); //! //! let match_result = match_students(Vec::from([bert, suze]), &categories, &mut rng); //! //! println!("Students matched to categories:"); //! println!(); //! for category in &categories { //! println!("{}:", &category.name); //! for student in match_result //! .placed //! .get(&category.name) //! .unwrap_or(&Vec::new()) //! { //! println!(" - {}", &student.name); //! } //! } //! //! if match_result.not_placable.is_empty() { //! println!(); //! println!("All students could be placed."); //! } //! ``` //! //! This should the following result: //! //! ```text //! Students matched to categories: //! //! Cooking: //! - Bert //! Reading: //! - Suze //! Walking: //! //! All students could be placed. //! ``` //! //! ## Place students in multiple categories //! //! Students are distributed over multiple categories. A single student can be placed //! in more than one category. //! //! # Example //! //! ``` //! use matchmaker::{Category, Student}; //! use matchmaker::da_stb::match_students_to_multiple_categories; //! use rand::thread_rng; //! use std::collections::VecDeque; //! //! // Create categories //! let cooking = Category::new("Cooking", 10); //! let reading = Category::new("Reading", 10); //! let walking = Category::new("Walking", 5); //! //! // Create student Bert //! // Bert wishes to be placed in category cooking or reading (in that order) //! let bert = Student::new( //! "Bert", //! VecDeque::from(vec![cooking.clone(), reading.clone()]), //! Vec::new(), //! ); //! //! // Create student Suze //! // Suze wishes to be placed in category cooking or reading (in that order), //! // but does not wish to be placed in category walking //! let suze = Student::new( //! "Suze", //! VecDeque::from(vec![cooking.clone(), reading.clone()]), //! Vec::from([walking.clone()]), //! ); //! //! let mut rng = thread_rng(); //! let categories = Vec::from([cooking, reading, walking]); //! //! let match_result = match_students_to_multiple_categories( //! Vec::from([bert, suze]), //! &categories, //! &mut rng); //! //! println!("Students matched to categories:"); //! println!(); //! for category in &categories { //! println!("{}:", &category.name); //! for student in match_result //! .placed //! .get(&category.name) //! .unwrap_or(&Vec::new()) //! { //! println!(" - {}", &student.name); //! } //! } //! //! if match_result.not_placable.is_empty() { //! println!(); //! println!("All students could be placed."); //! } //! ``` //! //! This should the following result: //! //! ```text //! Students matched to categories: //! //! Cooking: //! - Suze //! - Bert //! Reading: //! - Bert //! - Suze //! Walking: //! - Bert //! //! All students could be placed. //! ``` use core::fmt::Debug; use serde::{Deserialize, Serialize}; use std::cmp::Ordering; use std::collections::{HashMap, VecDeque}; pub mod da_stb; /// Holds a student #[derive(Debug, Eq, Clone, Deserialize, Serialize)] pub struct Student { /// Name of the student (must be unique) pub name: String, /// Categories the student wishes to be placed in, in order of preference pub preferences: VecDeque<Category>, /// Categories the student wishes *not* to be placed in pub exclude: Vec<Category>, } impl Student { /// Return a new Student /// /// # Arguments /// /// * `name` - A &`str` that holds the name of the student (must be unique) /// * `preferences` - A `VecDeque` of [`Category`]s the student wishes to be placed in, in order of preference /// * `exclude` - A `Vec` of [`Category`]s the student wishes *not* to be placed in /// /// [`Category`]: struct.Category.html /// /// # Examples /// /// ``` /// use std::collections::VecDeque; /// use matchmaker::{Category, Student}; /// /// // Create categories /// let cooking = Category::new("Cooking", 10); /// let reading = Category::new("Reading", 10); /// /// // Create student Bert /// // Bert wishes to be placed in category cooking or reading (in that order) /// let bert = Student::new( /// "Bert", /// VecDeque::from(vec![cooking, reading]), /// Vec::new(), /// ); /// ``` /// /// ``` /// use std::collections::VecDeque; /// use matchmaker::{Category, Student}; /// /// let cooking = Category::new("Cooking", 10); /// let reading = Category::new("Reading", 10); /// let walking = Category::new("Walking", 5); /// /// // Create student Suze /// // Suze wishes to be placed in category cooking or reading (in that order), /// // but does not wish to be placed in category walking /// let suze = Student::new( /// "Suze", /// VecDeque::from(vec![cooking, reading]), /// Vec::from([walking]), /// ); /// ``` pub fn new(name: &str, preferences: VecDeque<Category>, exclude: Vec<Category>) -> Self { Student { name: name.into(), preferences, exclude, } } } impl PartialEq for Student { fn eq(&self, other: &Self) -> bool { self.name == other.name } } impl From<OrderedStudent> for Student { fn from(os: OrderedStudent) -> Self { Student { name: os.name, preferences: os.preferences, exclude: os.exclude, } } } impl Ord for Student { fn cmp(&self, other: &Self) -> Ordering { self.name.cmp(&other.name) } } impl PartialOrd for Student { fn partial_cmp(&self, other: &Self) -> Option<Ordering> { Some(self.cmp(other)) } } #[derive(Debug, PartialEq, Eq, Clone)] struct OrderedStudent { name: String, preferences: VecDeque<Category>, exclude: Vec<Category>, order: usize, } impl Ord for OrderedStudent { fn cmp(&self, other: &Self) -> Ordering { self.order.cmp(&other.order) } } impl PartialOrd for OrderedStudent { fn partial_cmp(&self, other: &Self) -> Option<Ordering> { Some(self.cmp(other)) } } /// Holds a category #[derive(Clone, Deserialize, Serialize)] pub struct Category { /// Name of the category (must be unique) pub name: String, /// Maximum number of students that can be placed in category this category pub max_placements: usize, } impl Category { /// Return a new `Category` /// /// # Arguments /// /// * `name` - Name of the category (must be unique) /// * `max_placements` - Maximum number of students that can be placed in category this category /// /// # Example /// /// ``` /// use matchmaker::Category; /// /// // Category cooking with capacity of 10 placements /// let cooking = Category::new("Cooking", 10); /// /// // Category reading with capacity of 5 placements /// let reading = Category::new("Reading", 5); /// ``` pub fn new(name: &str, max_placements: usize) -> Self { Category { name: name.into(), max_placements, } } } impl std::hash::Hash for Category { fn hash<H: std::hash::Hasher>(&self, state: &mut H) { self.name.hash(state); } } impl PartialEq for Category { fn eq(&self, other: &Self) -> bool { self.name == other.name } } impl Eq for Category {} impl Debug for Category { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { f.write_fmt(format_args!("{} ({})", self.name, self.max_placements)) } } /// Holds the result of a match #[derive(Debug, Deserialize, Serialize, Clone)] pub struct MatchResult { /// Hashmap containing a list of placed students per category name pub placed: HashMap<String, Vec<Student>>, /// List of students that could not be placed in any category pub not_placable: Vec<Student>, } impl MatchResult { fn from( mut placed: HashMap<String, Vec<OrderedStudent>>, not_placable: Vec<OrderedStudent>, ) -> Self { let mut new_placed = HashMap::with_capacity(placed.capacity()); let mut new_not_placable = Vec::with_capacity(not_placable.capacity()); for (key, value) in placed.iter_mut() { let ordered_students = std::mem::replace(value, Vec::new()); let students: Vec<Student> = ordered_students.into_iter().map(|os| os.into()).collect(); new_placed.insert(key.clone(), students); } for np in not_placable.into_iter() { new_not_placable.push(np.into()); } MatchResult { placed: new_placed, not_placable: new_not_placable, } } }