gale_shapley.cpp File Reference

Gale Shapley Algorithm More...

#include <iostream>
#include <vector>
#include <algorithm>
#include <cassert>

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Namespaces
namespace	greedy_algorithms
	for std::vector
namespace	greedy_algorithms::stable_matching
	Functions for the Gale-Shapley Algorithm.

Functions
std::vector< std::uint32_t >	greedy_algorithms::stable_matching::gale_shapley (const std::vector< std::vector< std::uint32_t > > &secondary_preferences, const std::vector< std::vector< std::uint32_t > > &primary_preferences)
	The main function that finds the stable matching between two sets of elements using the Gale-Shapley Algorithm.
static void	tests ()
	Self-test implementations.
int	main ()
	Main function.

Detailed Description

Gale Shapley Algorithm

This implementation utilizes the Gale-Shapley algorithm to find stable matches.

Gale Shapley Algorithm aims to find a stable matching between two equally sized sets of elements given an ordinal preference for each element. The algorithm was introduced by David Gale and Lloyd Shapley in 1962.

Reference: Wikipedia Wikipedia

Author

B Karthik

Function Documentation

main()

int main

(

void

)

Main function.

Returns

0 on exit

           {
    tests(); // Run self-test implementations
    return 0;
}

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tests()

static void tests ( )

static

Self-test implementations.

Returns

void

                    {
    // Test Case 1
    std::vector<std::vector<std::uint32_t>> primary_preferences = {{0, 1, 2, 3}, {2, 1, 3, 0}, {1, 2, 0, 3}, {3, 0, 1, 2}};
    std::vector<std::vector<std::uint32_t>> secondary_preferences = {{1, 0, 2, 3}, {3, 0, 1, 2}, {0, 2, 1, 3}, {1, 2, 0, 3}};
    assert(greedy_algorithms::stable_matching::gale_shapley(secondary_preferences, primary_preferences) == std::vector<std::uint32_t>({0, 2, 1, 3}));
 
    // Test Case 2
    primary_preferences = {{0, 2, 1, 3}, {2, 3, 0, 1}, {3, 1, 2, 0}, {2, 1, 0, 3}};
    secondary_preferences = {{1, 0, 2, 3}, {3, 0, 1, 2}, {0, 2, 1, 3}, {1, 2, 0, 3}};
    assert(greedy_algorithms::stable_matching::gale_shapley(secondary_preferences, primary_preferences) == std::vector<std::uint32_t>({0, 3, 1, 2}));
 
    // Test Case 3
    primary_preferences = {{0, 1, 2}, {2, 1, 0}, {1, 2, 0}};
    secondary_preferences = {{1, 0, 2}, {2, 0, 1}, {0, 2, 1}};
    assert(greedy_algorithms::stable_matching::gale_shapley(secondary_preferences, primary_preferences) == std::vector<std::uint32_t>({0, 2, 1}));
 
    // Test Case 4
    primary_preferences = {};
    secondary_preferences = {};
    assert(greedy_algorithms::stable_matching::gale_shapley(secondary_preferences, primary_preferences) == std::vector<std::uint32_t>({}));
}

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