genetic-algorithm-tsp 0.1.3

Using genetic algorithms to solve Traveling salesman problems.
Documentation
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use crate::route::Route;
use crate::subsequence::Subsequence;
use rand::seq::SliceRandom;
use rand::thread_rng;
use rand::Rng;
use std::cmp::max;
use std::cmp::Ordering;
use std::ops::Range;

/// Get a random alement from a range.
///
/// # Arguments
///
/// * `range` - The range that should be sampled.
///
pub fn get_random_elem_from_range<T>(range: Range<T>) -> T
where
    T: std::cmp::PartialOrd + rand::distributions::uniform::SampleUniform,
{
    if !range.is_empty() {
        rand::thread_rng().gen_range::<T, Range<T>>(range)
    } else {
        range.start
    }
}
/// Generate a re-ordered vector.
///
/// # Arguments
///
/// * `data` - The original slice that should be re-ordered.
/// * `put_before_index` - The element as position `move_idx` should be positioned before
/// the element at `put_before_index`.
/// * `move_idx` - The position of the element that should be moved.
///
pub fn change_order(data: &[usize], put_before_idx: usize, move_idx: usize) -> Vec<usize> {
    let mut new_data = data.to_owned();
    if put_before_idx != move_idx {
        let move_item = data[move_idx];
        new_data.remove(move_idx);
        let reset_index = (move_idx < put_before_idx) as usize;
        new_data.insert(
            max(put_before_idx, reset_index as usize) - reset_index as usize,
            move_item,
        );
    }
    new_data
}
/// Generate a new vector with by removing an element
///
/// # Arguments
///
/// * `data` - The original vector from the element should be removed.
/// * `elem_idx` - The index of the element that should be removed.
///
pub fn remove_elem(mut data: Vec<usize>, elem_idx: usize) -> Vec<usize> {
    data.remove(elem_idx);
    data
}
/// The `ordered_crossover`-operator as defined in https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.50.1898&rep=rep1&type=pdf
///
/// # Arguments
///
/// * `parent_a` - The first parent from which the subsequence is taken.
/// * `parent_b` - The second parent in which the subsequence is inputed.
/// * `subsequence` - The actual subsequence that is taken.
///
pub fn ordered_crossover(parent_a: &Route, parent_b: &Route, subsequence: Subsequence) -> Route {
    let mut child: Vec<usize> = Vec::with_capacity(parent_a.get_n_nodes());
    let mapped_selection = subsequence.get_values_in(&parent_a.indexes).unwrap();
    // First push elements in subsequence of receiver, that are not in subsequence of donor.
    for elem in subsequence.get_values_in(&parent_b.indexes).unwrap() {
        if !is_in(*elem, mapped_selection) {
            child.push(*elem);
        }
    }
    // Push elements in subsequence of donor.
    for elem in mapped_selection {
        child.push(*elem);
    }
    // Push element after subsequence from receiver, that are not in subsequence of donor.
    for elem in subsequence.get_values_after(&parent_b.indexes).unwrap() {
        if !is_in(*elem, mapped_selection) {
            child.push(*elem);
        }
    }
    // Push element before subsequence from receiver, that are not in subsequence of donor.
    for elem in subsequence.get_values_before(&parent_b.indexes).unwrap() {
        if !is_in(*elem, mapped_selection) {
            child.push(*elem);
        }
    }
    Route { indexes: child }
}
/// Does a sequence contain a certain value?
///
/// # Arguments
///
/// * `value` - The value that might be in the elements.
/// * `elements` - The slice the value might be in.
///
pub fn is_in(value: usize, elements: &[usize]) -> bool {
    for elem in elements {
        if value == *elem {
            return true;
        }
    }
    false
}
/// Give a random permutation of a slice. No guarantee that
/// the vector is actually changed.
///
/// # Arguments
///
/// * `vec` - The slice that should be permutated.
///
pub fn random_permutation(vec: &[usize]) -> Vec<usize> {
    let mut this_vec: Vec<usize> = vec.to_vec();
    this_vec.shuffle(&mut thread_rng());
    this_vec
}

/// Return the index of a sorted slice
///
/// # Arguments
///
/// * `data` - The slice that should be sorted by the index that is returned.
///
pub fn argsort<T: PartialOrd>(data: &[T]) -> Vec<usize> {
    let mut indices = (0..data.len()).collect::<Vec<_>>();
    indices.sort_by(|a_idx, b_idx| {
        reverse_ordering(
            data[*a_idx]
                .partial_cmp(&data[*b_idx])
                .unwrap_or(Ordering::Less),
        )
    });
    indices
}
/// Reverse ordering
///
/// # Arguments
///
/// * `ordering` - The current ordering that needs to be reversed.
///
fn reverse_ordering(ordering: Ordering) -> Ordering {
    match ordering {
        Ordering::Greater => Ordering::Less,
        Ordering::Less => Ordering::Greater,
        Ordering::Equal => Ordering::Equal,
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    mod get_elem_from_range {
        use super::*;
        #[test]
        fn sample_int_range() {
            get_random_elem_from_range(0..10);
        }
        #[test]
        fn sample_float_range() {
            get_random_elem_from_range(0.0..1.0);
        }
        #[test]
        fn sample_empty_range() {
            assert_eq!(get_random_elem_from_range(0..0), 0);
        }
    }
    mod test_remove_elem {
        use super::*;
        #[test]
        fn remove_first() {
            assert_eq!(remove_elem(vec![1, 2, 3, 4], 0), vec![2, 3, 4]);
        }
        #[test]
        fn remove_last() {
            assert_eq!(remove_elem(vec![1, 2, 3, 4], 3), vec![1, 2, 3]);
        }
        #[test]
        fn remove_middle() {
            assert_eq!(remove_elem(vec![1, 2, 3, 4], 2), vec![1, 2, 4]);
        }
        #[test]
        fn test_remove_elem_first() {
            assert_eq!(remove_elem(vec![1, 2, 3], 0), vec![2, 3])
        }
        #[test]
        fn test_remove_elem_middle() {
            assert_eq!(remove_elem(vec![1, 2, 3], 1), vec![1, 3])
        }
        #[test]
        fn test_remove_elem_last() {
            assert_eq!(remove_elem(vec![1, 2, 3], 2), vec![1, 2])
        }
    }
    mod test_change_elem {
        use super::*;
        #[test]
        fn put_before_first() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 0, 1), vec![2, 1, 3, 4]);
        }
        #[test]
        fn put_last_before_first() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 0, 3), vec![4, 1, 2, 3]);
        }
        #[test]
        fn put_first_before_second() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 1, 0), vec![1, 2, 3, 4]);
        }
        #[test]
        fn put_before_second() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 1, 2), vec![1, 3, 2, 4]);
        }
        #[test]
        fn put_last_before_second() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 1, 3), vec![1, 4, 2, 3]);
        }
        #[test]
        fn put_first_before_last() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 3, 0), vec![2, 3, 1, 4]);
        }
        #[test]
        fn put_fourth_before_fourth() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 3, 3), vec![1, 2, 3, 4]);
        }
        #[test]
        fn put_first_before_first() {
            assert_eq!(change_order(&vec![1, 2, 3, 4], 3, 3), vec![1, 2, 3, 4]);
        }
        #[test]
        fn test_change_order_move_first() {
            assert_eq!(change_order(&vec![1, 2, 3], 1, 0), vec![1, 2, 3])
        }
        #[test]
        fn test_change_order_move_middle() {
            assert_eq!(change_order(&vec![1, 2, 3], 0, 1), vec![2, 1, 3])
        }

        #[test]
        fn test_change_order_move_last() {
            assert_eq!(change_order(&vec![1, 2, 3], 0, 2), vec![3, 1, 2])
        }
        #[test]
        fn test_change_order_move_first_before_last() {
            assert_eq!(change_order(&vec![1, 2, 3], 2, 0), vec![2, 1, 3])
        }
        #[test]
        fn test_change_order_move_middle_before_last() {
            assert_eq!(change_order(&vec![1, 2, 3], 2, 1), vec![1, 2, 3])
        }
    }
    mod test_ordered_crossover {
        use super::*;
        #[test]
        fn test_from_paper() {
            // test taken from example in https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.50.1898&rep=rep1&type=pdf.
            assert_eq!(
                ordered_crossover(
                    &Route {
                        indexes: vec![9, 8, 4, 5, 6, 7, 1, 3, 2]
                    },
                    &Route {
                        indexes: vec![8, 7, 1, 2, 3, 0, 9, 5, 4]
                    },
                    Subsequence {
                        start_index: 3,
                        length: 3
                    }
                )
                .indexes,
                vec![2, 3, 0, 5, 6, 7, 9, 4, 8, 1]
            )
        }
        #[test]
        fn simple_test() {
            assert_eq!(
                ordered_crossover(
                    &Route {
                        indexes: vec![3, 2, 0, 1]
                    },
                    &Route {
                        indexes: vec![1, 2, 3, 0]
                    },
                    Subsequence {
                        start_index: 1,
                        length: 2
                    }
                )
                .indexes,
                vec![3, 2, 0, 1]
            )
        }
        #[test]
        fn only_a() {
            assert_eq!(
                ordered_crossover(
                    &Route {
                        indexes: vec![3, 2, 0, 1]
                    },
                    &Route {
                        indexes: vec![1, 2, 3, 0]
                    },
                    Subsequence {
                        start_index: 0,
                        length: 4
                    }
                )
                .indexes,
                vec![3, 2, 0, 1]
            )
        }
        #[test]
        fn only_b() {
            assert_eq!(
                ordered_crossover(
                    &Route {
                        indexes: vec![3, 2, 0, 1]
                    },
                    &Route {
                        indexes: vec![1, 2, 3, 0]
                    },
                    Subsequence {
                        start_index: 0,
                        length: 0
                    }
                )
                .indexes,
                vec![1, 2, 3, 0]
            )
        }
        #[test]
        fn test_from_online_example() {
            // Example taken from
            // https://www.rubicite.com/Tutorials/GeneticAlgorithms/CrossoverOperators/Order1CrossoverOperator.aspx
            assert_eq!(
                ordered_crossover(
                    &Route {
                        indexes: vec![8, 4, 7, 3, 6, 2, 5, 1, 9, 0]
                    },
                    &Route {
                        indexes: vec![0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
                    },
                    Subsequence {
                        start_index: 3,
                        length: 5
                    }
                )
                .indexes,
                vec![4, 7, 3, 6, 2, 5, 1, 8, 9, 0]
            )
        }
        #[test]
        fn larger_examples() {
            assert_eq!(
                ordered_crossover(
                    &Route {
                        indexes: vec![0, 12, 7, 3, 9, 8, 11, 5, 13, 1, 4, 6, 10, 15, 2, 14],
                    },
                    &Route {
                        indexes: vec![7, 10, 15, 12, 2, 9, 5, 3, 1, 6, 4, 13, 14, 11, 8, 0],
                    },
                    Subsequence {
                        start_index: 13,
                        length: 2
                    }
                )
                .indexes,
                vec![11, 8, 15, 2, 0, 7, 10, 12, 9, 5, 3, 1, 6, 4, 13, 14,]
            )
        }
    }
    mod test_is_in {
        use super::*;
        #[test]
        fn not_in() {
            assert_eq!(is_in(0, &[1, 2, 3]), false)
        }
        #[test]
        fn not_in_empty_sequence() {
            assert_eq!(is_in(0, &Vec::<usize>::new()), false)
        }
        #[test]
        fn value_is_in() {
            assert_eq!(is_in(0, &[1, 0, 3]), true)
        }
        #[test]
        fn value_is_in_duplicated() {
            assert_eq!(is_in(0, &[0, 1, 0, 3]), true)
        }
    }
    mod test_random_permutation {
        use super::*;
        use crate::test_utils::valid_permutation;
        #[test]
        #[test]
        #[test]
        #[test]
        fn simple_test() {
            let main_vec = (0..10).collect::<Vec<usize>>();
            valid_permutation(&main_vec, &random_permutation(&main_vec));
        }
    }
    mod test_argsort {
        use super::*;
        #[test]
        fn four_floats() {
            assert_eq!(argsort(&vec![1.0, 5.0, 3.0, 6.0]), vec![3, 1, 2, 0]);
        }
        #[test]
        fn thirteen_floats() {
            assert_eq!(
                argsort(&vec![
                    13.0, 14.0, 12.0, 10.0, 22.0, 6.0, 16.0, 24.0, 18.0, 23.0, 15.0, 11.0, 17.0
                ]),
                vec![7, 9, 4, 8, 12, 6, 10, 1, 0, 2, 11, 3, 5],
            );
        }

        #[test]
        fn five_isize() {
            assert_eq!(argsort(&vec![2, 5, 3, 4, 1, 6]), vec![5, 1, 3, 2, 0, 4]);
        }
    }
    mod test_reverse_ordering {
        use super::*;
        #[test]
        fn greater_to_less() {
            assert_eq!(reverse_ordering(Ordering::Greater), Ordering::Less)
        }
        #[test]
        fn less_to_greater() {
            assert_eq!(reverse_ordering(Ordering::Less), Ordering::Greater)
        }
        #[test]
        fn equal_stays() {
            assert_eq!(reverse_ordering(Ordering::Equal), Ordering::Equal)
        }
    }
}