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@@ -1,72 +1,88 @@ | ||
use std::cell::RefCell; | ||
use std::mem::{replace, swap, take}; | ||
use std::rc::Rc; | ||
use std::mem::swap; | ||
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struct Heap<V> { | ||
value: V, | ||
left: Option<Rc<RefCell<Heap<V>>>>, | ||
right: Option<Rc<RefCell<Heap<V>>>>, | ||
left: Option<Box<Heap<V>>>, | ||
right: Option<Box<Heap<V>>>, | ||
} | ||
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impl<V: PartialOrd + Clone> Heap<V> { | ||
fn new(value: V) -> Option<Rc<RefCell<Heap<V>>>> { | ||
Some(Rc::new(RefCell::new(Self { | ||
impl<V: PartialOrd> Heap<V> { | ||
fn new(value: V) -> Option<Box<Heap<V>>> { | ||
Some(Box::new(Self { | ||
value, | ||
left: None, | ||
right: None, | ||
}))) | ||
})) | ||
} | ||
fn merge<'a>( | ||
mut a: &'a Option<Rc<RefCell<Heap<V>>>>, | ||
mut b: &'a Option<Rc<RefCell<Heap<V>>>>, | ||
) -> Option<Rc<RefCell<Heap<V>>>> { | ||
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fn merge(a: Option<Box<Heap<V>>>, b: Option<Box<Heap<V>>>) -> Option<Box<Heap<V>>> { | ||
if a.is_none() { | ||
return b.clone(); | ||
return b; | ||
} | ||
if b.is_none() { | ||
return a.clone(); | ||
return a; | ||
} | ||
if a.as_ref()?.borrow().value > b.as_ref()?.borrow().value { | ||
swap(&mut a, &mut b); | ||
let mut ra = a.unwrap(); | ||
let mut rb = b.unwrap(); | ||
if ra.value > rb.value { | ||
swap(&mut ra, &mut rb); | ||
} | ||
if rand::random() { | ||
let mut ra = a.as_ref()?.borrow_mut(); | ||
let l = take(&mut ra.left); | ||
let r = take(&mut ra.right); | ||
ra.left = r; | ||
ra.right = l; | ||
swap(&mut ra.left, &mut ra.right); | ||
} | ||
let m = Self::merge(replace(&mut &a.as_ref()?.borrow_mut().left, &None), b); | ||
a.as_ref()?.borrow_mut().left = m; | ||
a.clone() | ||
ra.left = Self::merge(ra.left, Some(rb)); | ||
Some(ra) | ||
} | ||
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fn remove_min(heap: &Option<Rc<RefCell<Heap<V>>>>) -> (Option<Rc<RefCell<Heap<V>>>>, V) { | ||
let h = heap.as_ref().unwrap().borrow(); | ||
(Self::merge(&h.left, &h.right), h.value.clone()) | ||
fn remove_min(heap: Option<Box<Heap<V>>>) -> (Option<Box<Heap<V>>>, V) { | ||
let h = heap.unwrap(); | ||
(Self::merge(h.left, h.right), h.value) | ||
} | ||
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fn add(heap: &Option<Rc<RefCell<Heap<V>>>>, value: V) -> Option<Rc<RefCell<Heap<V>>>> { | ||
Self::merge(heap, &Heap::new(value)) | ||
fn add(heap: Option<Box<Heap<V>>>, value: V) -> Option<Box<Heap<V>>> { | ||
Self::merge(heap, Heap::new(value)) | ||
} | ||
} | ||
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#[cfg(test)] | ||
mod tests { | ||
use crate::structures::mergeable_heap::Heap; | ||
use rand::seq::SliceRandom; | ||
use rand::thread_rng; | ||
use rstest::rstest; | ||
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#[rstest] | ||
#[case(&mut [])] | ||
#[case(&mut [0])] | ||
#[case(&mut [1, 1])] | ||
#[case(&mut [3, 1, 2])] | ||
fn basic_test(#[case] seq: &mut [u32]) { | ||
test(seq); | ||
} | ||
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#[test] | ||
fn big_test1() { | ||
let mut values = (0..10_000).collect::<Vec<u32>>(); | ||
values.shuffle(&mut thread_rng()); | ||
test(&mut values); | ||
} | ||
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#[test] | ||
fn basic_test() { | ||
let mut h = None; | ||
h = Heap::add(&h, 3); | ||
h = Heap::add(&h, 1); | ||
h = Heap::add(&h, 2); | ||
let mut values = Vec::new(); | ||
while h.is_some() { | ||
let (heap, min_value) = Heap::remove_min(&h); | ||
values.push(min_value); | ||
h = heap; | ||
fn big_test2() { | ||
let mut values = vec![0; 10_000]; | ||
values.shuffle(&mut thread_rng()); | ||
test(&mut values); | ||
} | ||
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fn test(seq: &mut [u32]) { | ||
let mut heap = seq.iter().fold(None, |h, v| Heap::add(h, v)); | ||
let mut heap_sorted_values = Vec::new(); | ||
while heap.is_some() { | ||
let (updated_heap, min_value) = Heap::remove_min(heap); | ||
heap = updated_heap; | ||
heap_sorted_values.push(*min_value); | ||
} | ||
assert_eq!(values, [1, 2, 3]); | ||
seq.sort(); | ||
assert_eq!(heap_sorted_values, seq); | ||
} | ||
} |