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Sign up| //! A priority queue implemented with a binary heap. | |
| //! | |
| //! Insertion and popping the largest element have `O(log n)` time complexity. | |
| //! Checking the largest element is `O(1)`. Converting a vector to a binary heap | |
| //! can be done in-place, and has `O(n)` complexity. A binary heap can also be | |
| //! converted to a sorted vector in-place, allowing it to be used for an `O(n | |
| //! log n)` in-place heapsort. | |
| //! | |
| //! # Examples | |
| //! | |
| //! This is a larger example that implements [Dijkstra's algorithm][dijkstra] | |
| //! to solve the [shortest path problem][sssp] on a [directed graph][dir_graph]. | |
| //! It shows how to use [`BinaryHeap`] with custom types. | |
| //! | |
| //! [dijkstra]: http://en.wikipedia.org/wiki/Dijkstra%27s_algorithm | |
| //! [sssp]: http://en.wikipedia.org/wiki/Shortest_path_problem | |
| //! [dir_graph]: http://en.wikipedia.org/wiki/Directed_graph | |
| //! [`BinaryHeap`]: struct.BinaryHeap.html | |
| //! | |
| //! ``` | |
| //! use std::cmp::Ordering; | |
| //! use std::collections::BinaryHeap; | |
| //! use std::usize; | |
| //! | |
| //! #[derive(Copy, Clone, Eq, PartialEq)] | |
| //! struct State { | |
| //! cost: usize, | |
| //! position: usize, | |
| //! } | |
| //! | |
| //! // The priority queue depends on `Ord`. | |
| //! // Explicitly implement the trait so the queue becomes a min-heap | |
| //! // instead of a max-heap. | |
| //! impl Ord for State { | |
| //! fn cmp(&self, other: &State) -> Ordering { | |
| //! // Notice that the we flip the ordering on costs. | |
| //! // In case of a tie we compare positions - this step is necessary | |
| //! // to make implementations of `PartialEq` and `Ord` consistent. | |
| //! other.cost.cmp(&self.cost) | |
| //! .then_with(|| self.position.cmp(&other.position)) | |
| //! } | |
| //! } | |
| //! | |
| //! // `PartialOrd` needs to be implemented as well. | |
| //! impl PartialOrd for State { | |
| //! fn partial_cmp(&self, other: &State) -> Option<Ordering> { | |
| //! Some(self.cmp(other)) | |
| //! } | |
| //! } | |
| //! | |
| //! // Each node is represented as an `usize`, for a shorter implementation. | |
| //! struct Edge { | |
| //! node: usize, | |
| //! cost: usize, | |
| //! } | |
| //! | |
| //! // Dijkstra's shortest path algorithm. | |
| //! | |
| //! // Start at `start` and use `dist` to track the current shortest distance | |
| //! // to each node. This implementation isn't memory-efficient as it may leave duplicate | |
| //! // nodes in the queue. It also uses `usize::MAX` as a sentinel value, | |
| //! // for a simpler implementation. | |
| //! fn shortest_path(adj_list: &Vec<Vec<Edge>>, start: usize, goal: usize) -> Option<usize> { | |
| //! // dist[node] = current shortest distance from `start` to `node` | |
| //! let mut dist: Vec<_> = (0..adj_list.len()).map(|_| usize::MAX).collect(); | |
| //! | |
| //! let mut heap = BinaryHeap::new(); | |
| //! | |
| //! // We're at `start`, with a zero cost | |
| //! dist[start] = 0; | |
| //! heap.push(State { cost: 0, position: start }); | |
| //! | |
| //! // Examine the frontier with lower cost nodes first (min-heap) | |
| //! while let Some(State { cost, position }) = heap.pop() { | |
| //! // Alternatively we could have continued to find all shortest paths | |
| //! if position == goal { return Some(cost); } | |
| //! | |
| //! // Important as we may have already found a better way | |
| //! if cost > dist[position] { continue; } | |
| //! | |
| //! // For each node we can reach, see if we can find a way with | |
| //! // a lower cost going through this node | |
| //! for edge in &adj_list[position] { | |
| //! let next = State { cost: cost + edge.cost, position: edge.node }; | |
| //! | |
| //! // If so, add it to the frontier and continue | |
| //! if next.cost < dist[next.position] { | |
| //! heap.push(next); | |
| //! // Relaxation, we have now found a better way | |
| //! dist[next.position] = next.cost; | |
| //! } | |
| //! } | |
| //! } | |
| //! | |
| //! // Goal not reachable | |
| //! None | |
| //! } | |
| //! | |
| //! fn main() { | |
| //! // This is the directed graph we're going to use. | |
| //! // The node numbers correspond to the different states, | |
| //! // and the edge weights symbolize the cost of moving | |
| //! // from one node to another. | |
| //! // Note that the edges are one-way. | |
| //! // | |
| //! // 7 | |
| //! // +-----------------+ | |
| //! // | | | |
| //! // v 1 2 | 2 | |
| //! // 0 -----> 1 -----> 3 ---> 4 | |
| //! // | ^ ^ ^ | |
| //! // | | 1 | | | |
| //! // | | | 3 | 1 | |
| //! // +------> 2 -------+ | | |
| //! // 10 | | | |
| //! // +---------------+ | |
| //! // | |
| //! // The graph is represented as an adjacency list where each index, | |
| //! // corresponding to a node value, has a list of outgoing edges. | |
| //! // Chosen for its efficiency. | |
| //! let graph = vec![ | |
| //! // Node 0 | |
| //! vec![Edge { node: 2, cost: 10 }, | |
| //! Edge { node: 1, cost: 1 }], | |
| //! // Node 1 | |
| //! vec![Edge { node: 3, cost: 2 }], | |
| //! // Node 2 | |
| //! vec![Edge { node: 1, cost: 1 }, | |
| //! Edge { node: 3, cost: 3 }, | |
| //! Edge { node: 4, cost: 1 }], | |
| //! // Node 3 | |
| //! vec![Edge { node: 0, cost: 7 }, | |
| //! Edge { node: 4, cost: 2 }], | |
| //! // Node 4 | |
| //! vec![]]; | |
| //! | |
| //! assert_eq!(shortest_path(&graph, 0, 1), Some(1)); | |
| //! assert_eq!(shortest_path(&graph, 0, 3), Some(3)); | |
| //! assert_eq!(shortest_path(&graph, 3, 0), Some(7)); | |
| //! assert_eq!(shortest_path(&graph, 0, 4), Some(5)); | |
| //! assert_eq!(shortest_path(&graph, 4, 0), None); | |
| //! } | |
| //! ``` | |
| #![allow(missing_docs)] | |
| #![stable(feature = "rust1", since = "1.0.0")] | |
| use core::ops::{Deref, DerefMut}; | |
| use core::iter::{FromIterator, FusedIterator}; | |
| use core::mem::{swap, size_of, ManuallyDrop}; | |
| use core::ptr; | |
| use core::fmt; | |
| use slice; | |
| use vec::{self, Vec}; | |
| use super::SpecExtend; | |
| /// A priority queue implemented with a binary heap. | |
| /// | |
| /// This will be a max-heap. | |
| /// | |
| /// It is a logic error for an item to be modified in such a way that the | |
| /// item's ordering relative to any other item, as determined by the `Ord` | |
| /// trait, changes while it is in the heap. This is normally only possible | |
| /// through `Cell`, `RefCell`, global state, I/O, or unsafe code. | |
| /// | |
| /// # Examples | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// | |
| /// // Type inference lets us omit an explicit type signature (which | |
| /// // would be `BinaryHeap<i32>` in this example). | |
| /// let mut heap = BinaryHeap::new(); | |
| /// | |
| /// // We can use peek to look at the next item in the heap. In this case, | |
| /// // there's no items in there yet so we get None. | |
| /// assert_eq!(heap.peek(), None); | |
| /// | |
| /// // Let's add some scores... | |
| /// heap.push(1); | |
| /// heap.push(5); | |
| /// heap.push(2); | |
| /// | |
| /// // Now peek shows the most important item in the heap. | |
| /// assert_eq!(heap.peek(), Some(&5)); | |
| /// | |
| /// // We can check the length of a heap. | |
| /// assert_eq!(heap.len(), 3); | |
| /// | |
| /// // We can iterate over the items in the heap, although they are returned in | |
| /// // a random order. | |
| /// for x in &heap { | |
| /// println!("{}", x); | |
| /// } | |
| /// | |
| /// // If we instead pop these scores, they should come back in order. | |
| /// assert_eq!(heap.pop(), Some(5)); | |
| /// assert_eq!(heap.pop(), Some(2)); | |
| /// assert_eq!(heap.pop(), Some(1)); | |
| /// assert_eq!(heap.pop(), None); | |
| /// | |
| /// // We can clear the heap of any remaining items. | |
| /// heap.clear(); | |
| /// | |
| /// // The heap should now be empty. | |
| /// assert!(heap.is_empty()) | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub struct BinaryHeap<T> { | |
| data: Vec<T>, | |
| } | |
| /// Structure wrapping a mutable reference to the greatest item on a | |
| /// `BinaryHeap`. | |
| /// | |
| /// This `struct` is created by the [`peek_mut`] method on [`BinaryHeap`]. See | |
| /// its documentation for more. | |
| /// | |
| /// [`peek_mut`]: struct.BinaryHeap.html#method.peek_mut | |
| /// [`BinaryHeap`]: struct.BinaryHeap.html | |
| #[stable(feature = "binary_heap_peek_mut", since = "1.12.0")] | |
| pub struct PeekMut<'a, T: 'a + Ord> { | |
| heap: &'a mut BinaryHeap<T>, | |
| sift: bool, | |
| } | |
| #[stable(feature = "collection_debug", since = "1.17.0")] | |
| impl<'a, T: Ord + fmt::Debug> fmt::Debug for PeekMut<'a, T> { | |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { | |
| f.debug_tuple("PeekMut") | |
| .field(&self.heap.data[0]) | |
| .finish() | |
| } | |
| } | |
| #[stable(feature = "binary_heap_peek_mut", since = "1.12.0")] | |
| impl<'a, T: Ord> Drop for PeekMut<'a, T> { | |
| fn drop(&mut self) { | |
| if self.sift { | |
| self.heap.sift_down(0); | |
| } | |
| } | |
| } | |
| #[stable(feature = "binary_heap_peek_mut", since = "1.12.0")] | |
| impl<'a, T: Ord> Deref for PeekMut<'a, T> { | |
| type Target = T; | |
| fn deref(&self) -> &T { | |
| &self.heap.data[0] | |
| } | |
| } | |
| #[stable(feature = "binary_heap_peek_mut", since = "1.12.0")] | |
| impl<'a, T: Ord> DerefMut for PeekMut<'a, T> { | |
| fn deref_mut(&mut self) -> &mut T { | |
| &mut self.heap.data[0] | |
| } | |
| } | |
| impl<'a, T: Ord> PeekMut<'a, T> { | |
| /// Removes the peeked value from the heap and returns it. | |
| #[stable(feature = "binary_heap_peek_mut_pop", since = "1.18.0")] | |
| pub fn pop(mut this: PeekMut<'a, T>) -> T { | |
| let value = this.heap.pop().unwrap(); | |
| this.sift = false; | |
| value | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T: Clone> Clone for BinaryHeap<T> { | |
| fn clone(&self) -> Self { | |
| BinaryHeap { data: self.data.clone() } | |
| } | |
| fn clone_from(&mut self, source: &Self) { | |
| self.data.clone_from(&source.data); | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T: Ord> Default for BinaryHeap<T> { | |
| /// Creates an empty `BinaryHeap<T>`. | |
| #[inline] | |
| fn default() -> BinaryHeap<T> { | |
| BinaryHeap::new() | |
| } | |
| } | |
| #[stable(feature = "binaryheap_debug", since = "1.4.0")] | |
| impl<T: fmt::Debug + Ord> fmt::Debug for BinaryHeap<T> { | |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { | |
| f.debug_list().entries(self.iter()).finish() | |
| } | |
| } | |
| impl<T: Ord> BinaryHeap<T> { | |
| /// Creates an empty `BinaryHeap` as a max-heap. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// heap.push(4); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn new() -> BinaryHeap<T> { | |
| BinaryHeap { data: vec![] } | |
| } | |
| /// Creates an empty `BinaryHeap` with a specific capacity. | |
| /// This preallocates enough memory for `capacity` elements, | |
| /// so that the `BinaryHeap` does not have to be reallocated | |
| /// until it contains at least that many values. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::with_capacity(10); | |
| /// heap.push(4); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn with_capacity(capacity: usize) -> BinaryHeap<T> { | |
| BinaryHeap { data: Vec::with_capacity(capacity) } | |
| } | |
| /// Returns an iterator visiting all values in the underlying vector, in | |
| /// arbitrary order. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let heap = BinaryHeap::from(vec![1, 2, 3, 4]); | |
| /// | |
| /// // Print 1, 2, 3, 4 in arbitrary order | |
| /// for x in heap.iter() { | |
| /// println!("{}", x); | |
| /// } | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn iter(&self) -> Iter<T> { | |
| Iter { iter: self.data.iter() } | |
| } | |
| /// Returns the greatest item in the binary heap, or `None` if it is empty. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// assert_eq!(heap.peek(), None); | |
| /// | |
| /// heap.push(1); | |
| /// heap.push(5); | |
| /// heap.push(2); | |
| /// assert_eq!(heap.peek(), Some(&5)); | |
| /// | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn peek(&self) -> Option<&T> { | |
| self.data.get(0) | |
| } | |
| /// Returns a mutable reference to the greatest item in the binary heap, or | |
| /// `None` if it is empty. | |
| /// | |
| /// Note: If the `PeekMut` value is leaked, the heap may be in an | |
| /// inconsistent state. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// assert!(heap.peek_mut().is_none()); | |
| /// | |
| /// heap.push(1); | |
| /// heap.push(5); | |
| /// heap.push(2); | |
| /// { | |
| /// let mut val = heap.peek_mut().unwrap(); | |
| /// *val = 0; | |
| /// } | |
| /// assert_eq!(heap.peek(), Some(&2)); | |
| /// ``` | |
| #[stable(feature = "binary_heap_peek_mut", since = "1.12.0")] | |
| pub fn peek_mut(&mut self) -> Option<PeekMut<T>> { | |
| if self.is_empty() { | |
| None | |
| } else { | |
| Some(PeekMut { | |
| heap: self, | |
| sift: true, | |
| }) | |
| } | |
| } | |
| /// Returns the number of elements the binary heap can hold without reallocating. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::with_capacity(100); | |
| /// assert!(heap.capacity() >= 100); | |
| /// heap.push(4); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn capacity(&self) -> usize { | |
| self.data.capacity() | |
| } | |
| /// Reserves the minimum capacity for exactly `additional` more elements to be inserted in the | |
| /// given `BinaryHeap`. Does nothing if the capacity is already sufficient. | |
| /// | |
| /// Note that the allocator may give the collection more space than it requests. Therefore | |
| /// capacity can not be relied upon to be precisely minimal. Prefer [`reserve`] if future | |
| /// insertions are expected. | |
| /// | |
| /// # Panics | |
| /// | |
| /// Panics if the new capacity overflows `usize`. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// heap.reserve_exact(100); | |
| /// assert!(heap.capacity() >= 100); | |
| /// heap.push(4); | |
| /// ``` | |
| /// | |
| /// [`reserve`]: #method.reserve | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn reserve_exact(&mut self, additional: usize) { | |
| self.data.reserve_exact(additional); | |
| } | |
| /// Reserves capacity for at least `additional` more elements to be inserted in the | |
| /// `BinaryHeap`. The collection may reserve more space to avoid frequent reallocations. | |
| /// | |
| /// # Panics | |
| /// | |
| /// Panics if the new capacity overflows `usize`. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// heap.reserve(100); | |
| /// assert!(heap.capacity() >= 100); | |
| /// heap.push(4); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn reserve(&mut self, additional: usize) { | |
| self.data.reserve(additional); | |
| } | |
| /// Discards as much additional capacity as possible. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap: BinaryHeap<i32> = BinaryHeap::with_capacity(100); | |
| /// | |
| /// assert!(heap.capacity() >= 100); | |
| /// heap.shrink_to_fit(); | |
| /// assert!(heap.capacity() == 0); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn shrink_to_fit(&mut self) { | |
| self.data.shrink_to_fit(); | |
| } | |
| /// Discards capacity with a lower bound. | |
| /// | |
| /// The capacity will remain at least as large as both the length | |
| /// and the supplied value. | |
| /// | |
| /// Panics if the current capacity is smaller than the supplied | |
| /// minimum capacity. | |
| /// | |
| /// # Examples | |
| /// | |
| /// ``` | |
| /// #![feature(shrink_to)] | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap: BinaryHeap<i32> = BinaryHeap::with_capacity(100); | |
| /// | |
| /// assert!(heap.capacity() >= 100); | |
| /// heap.shrink_to(10); | |
| /// assert!(heap.capacity() >= 10); | |
| /// ``` | |
| #[inline] | |
| #[unstable(feature = "shrink_to", reason = "new API", issue="56431")] | |
| pub fn shrink_to(&mut self, min_capacity: usize) { | |
| self.data.shrink_to(min_capacity) | |
| } | |
| /// Removes the greatest item from the binary heap and returns it, or `None` if it | |
| /// is empty. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::from(vec![1, 3]); | |
| /// | |
| /// assert_eq!(heap.pop(), Some(3)); | |
| /// assert_eq!(heap.pop(), Some(1)); | |
| /// assert_eq!(heap.pop(), None); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn pop(&mut self) -> Option<T> { | |
| self.data.pop().map(|mut item| { | |
| if !self.is_empty() { | |
| swap(&mut item, &mut self.data[0]); | |
| self.sift_down_to_bottom(0); | |
| } | |
| item | |
| }) | |
| } | |
| /// Pushes an item onto the binary heap. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// heap.push(3); | |
| /// heap.push(5); | |
| /// heap.push(1); | |
| /// | |
| /// assert_eq!(heap.len(), 3); | |
| /// assert_eq!(heap.peek(), Some(&5)); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn push(&mut self, item: T) { | |
| let old_len = self.len(); | |
| self.data.push(item); | |
| self.sift_up(0, old_len); | |
| } | |
| /// Consumes the `BinaryHeap` and returns the underlying vector | |
| /// in arbitrary order. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let heap = BinaryHeap::from(vec![1, 2, 3, 4, 5, 6, 7]); | |
| /// let vec = heap.into_vec(); | |
| /// | |
| /// // Will print in some order | |
| /// for x in vec { | |
| /// println!("{}", x); | |
| /// } | |
| /// ``` | |
| #[stable(feature = "binary_heap_extras_15", since = "1.5.0")] | |
| pub fn into_vec(self) -> Vec<T> { | |
| self.into() | |
| } | |
| /// Consumes the `BinaryHeap` and returns a vector in sorted | |
| /// (ascending) order. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// | |
| /// let mut heap = BinaryHeap::from(vec![1, 2, 4, 5, 7]); | |
| /// heap.push(6); | |
| /// heap.push(3); | |
| /// | |
| /// let vec = heap.into_sorted_vec(); | |
| /// assert_eq!(vec, [1, 2, 3, 4, 5, 6, 7]); | |
| /// ``` | |
| #[stable(feature = "binary_heap_extras_15", since = "1.5.0")] | |
| pub fn into_sorted_vec(mut self) -> Vec<T> { | |
| let mut end = self.len(); | |
| while end > 1 { | |
| end -= 1; | |
| self.data.swap(0, end); | |
| self.sift_down_range(0, end); | |
| } | |
| self.into_vec() | |
| } | |
| // The implementations of sift_up and sift_down use unsafe blocks in | |
| // order to move an element out of the vector (leaving behind a | |
| // hole), shift along the others and move the removed element back into the | |
| // vector at the final location of the hole. | |
| // The `Hole` type is used to represent this, and make sure | |
| // the hole is filled back at the end of its scope, even on panic. | |
| // Using a hole reduces the constant factor compared to using swaps, | |
| // which involves twice as many moves. | |
| fn sift_up(&mut self, start: usize, pos: usize) -> usize { | |
| unsafe { | |
| // Take out the value at `pos` and create a hole. | |
| let mut hole = Hole::new(&mut self.data, pos); | |
| while hole.pos() > start { | |
| let parent = (hole.pos() - 1) / 2; | |
| if hole.element() <= hole.get(parent) { | |
| break; | |
| } | |
| hole.move_to(parent); | |
| } | |
| hole.pos() | |
| } | |
| } | |
| /// Take an element at `pos` and move it down the heap, | |
| /// while its children are larger. | |
| fn sift_down_range(&mut self, pos: usize, end: usize) { | |
| unsafe { | |
| let mut hole = Hole::new(&mut self.data, pos); | |
| let mut child = 2 * pos + 1; | |
| while child < end { | |
| let right = child + 1; | |
| // compare with the greater of the two children | |
| if right < end && !(hole.get(child) > hole.get(right)) { | |
| child = right; | |
| } | |
| // if we are already in order, stop. | |
| if hole.element() >= hole.get(child) { | |
| break; | |
| } | |
| hole.move_to(child); | |
| child = 2 * hole.pos() + 1; | |
| } | |
| } | |
| } | |
| fn sift_down(&mut self, pos: usize) { | |
| let len = self.len(); | |
| self.sift_down_range(pos, len); | |
| } | |
| /// Take an element at `pos` and move it all the way down the heap, | |
| /// then sift it up to its position. | |
| /// | |
| /// Note: This is faster when the element is known to be large / should | |
| /// be closer to the bottom. | |
| fn sift_down_to_bottom(&mut self, mut pos: usize) { | |
| let end = self.len(); | |
| let start = pos; | |
| unsafe { | |
| let mut hole = Hole::new(&mut self.data, pos); | |
| let mut child = 2 * pos + 1; | |
| while child < end { | |
| let right = child + 1; | |
| // compare with the greater of the two children | |
| if right < end && !(hole.get(child) > hole.get(right)) { | |
| child = right; | |
| } | |
| hole.move_to(child); | |
| child = 2 * hole.pos() + 1; | |
| } | |
| pos = hole.pos; | |
| } | |
| self.sift_up(start, pos); | |
| } | |
| /// Returns the length of the binary heap. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let heap = BinaryHeap::from(vec![1, 3]); | |
| /// | |
| /// assert_eq!(heap.len(), 2); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn len(&self) -> usize { | |
| self.data.len() | |
| } | |
| /// Checks if the binary heap is empty. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::new(); | |
| /// | |
| /// assert!(heap.is_empty()); | |
| /// | |
| /// heap.push(3); | |
| /// heap.push(5); | |
| /// heap.push(1); | |
| /// | |
| /// assert!(!heap.is_empty()); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn is_empty(&self) -> bool { | |
| self.len() == 0 | |
| } | |
| /// Clears the binary heap, returning an iterator over the removed elements. | |
| /// | |
| /// The elements are removed in arbitrary order. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::from(vec![1, 3]); | |
| /// | |
| /// assert!(!heap.is_empty()); | |
| /// | |
| /// for x in heap.drain() { | |
| /// println!("{}", x); | |
| /// } | |
| /// | |
| /// assert!(heap.is_empty()); | |
| /// ``` | |
| #[inline] | |
| #[stable(feature = "drain", since = "1.6.0")] | |
| pub fn drain(&mut self) -> Drain<T> { | |
| Drain { iter: self.data.drain(..) } | |
| } | |
| /// Drops all items from the binary heap. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let mut heap = BinaryHeap::from(vec![1, 3]); | |
| /// | |
| /// assert!(!heap.is_empty()); | |
| /// | |
| /// heap.clear(); | |
| /// | |
| /// assert!(heap.is_empty()); | |
| /// ``` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub fn clear(&mut self) { | |
| self.drain(); | |
| } | |
| fn rebuild(&mut self) { | |
| let mut n = self.len() / 2; | |
| while n > 0 { | |
| n -= 1; | |
| self.sift_down(n); | |
| } | |
| } | |
| /// Moves all the elements of `other` into `self`, leaving `other` empty. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// | |
| /// let v = vec![-10, 1, 2, 3, 3]; | |
| /// let mut a = BinaryHeap::from(v); | |
| /// | |
| /// let v = vec![-20, 5, 43]; | |
| /// let mut b = BinaryHeap::from(v); | |
| /// | |
| /// a.append(&mut b); | |
| /// | |
| /// assert_eq!(a.into_sorted_vec(), [-20, -10, 1, 2, 3, 3, 5, 43]); | |
| /// assert!(b.is_empty()); | |
| /// ``` | |
| #[stable(feature = "binary_heap_append", since = "1.11.0")] | |
| pub fn append(&mut self, other: &mut Self) { | |
| if self.len() < other.len() { | |
| swap(self, other); | |
| } | |
| if other.is_empty() { | |
| return; | |
| } | |
| #[inline(always)] | |
| fn log2_fast(x: usize) -> usize { | |
| 8 * size_of::<usize>() - (x.leading_zeros() as usize) - 1 | |
| } | |
| // `rebuild` takes O(len1 + len2) operations | |
| // and about 2 * (len1 + len2) comparisons in the worst case | |
| // while `extend` takes O(len2 * log_2(len1)) operations | |
| // and about 1 * len2 * log_2(len1) comparisons in the worst case, | |
| // assuming len1 >= len2. | |
| #[inline] | |
| fn better_to_rebuild(len1: usize, len2: usize) -> bool { | |
| 2 * (len1 + len2) < len2 * log2_fast(len1) | |
| } | |
| if better_to_rebuild(self.len(), other.len()) { | |
| self.data.append(&mut other.data); | |
| self.rebuild(); | |
| } else { | |
| self.extend(other.drain()); | |
| } | |
| } | |
| } | |
| /// Hole represents a hole in a slice i.e., an index without valid value | |
| /// (because it was moved from or duplicated). | |
| /// In drop, `Hole` will restore the slice by filling the hole | |
| /// position with the value that was originally removed. | |
| struct Hole<'a, T: 'a> { | |
| data: &'a mut [T], | |
| elt: ManuallyDrop<T>, | |
| pos: usize, | |
| } | |
| impl<'a, T> Hole<'a, T> { | |
| /// Create a new Hole at index `pos`. | |
| /// | |
| /// Unsafe because pos must be within the data slice. | |
| #[inline] | |
| unsafe fn new(data: &'a mut [T], pos: usize) -> Self { | |
| debug_assert!(pos < data.len()); | |
| let elt = ptr::read(&data[pos]); | |
| Hole { | |
| data, | |
| elt: ManuallyDrop::new(elt), | |
| pos, | |
| } | |
| } | |
| #[inline] | |
| fn pos(&self) -> usize { | |
| self.pos | |
| } | |
| /// Returns a reference to the element removed. | |
| #[inline] | |
| fn element(&self) -> &T { | |
| &self.elt | |
| } | |
| /// Returns a reference to the element at `index`. | |
| /// | |
| /// Unsafe because index must be within the data slice and not equal to pos. | |
| #[inline] | |
| unsafe fn get(&self, index: usize) -> &T { | |
| debug_assert!(index != self.pos); | |
| debug_assert!(index < self.data.len()); | |
| self.data.get_unchecked(index) | |
| } | |
| /// Move hole to new location | |
| /// | |
| /// Unsafe because index must be within the data slice and not equal to pos. | |
| #[inline] | |
| unsafe fn move_to(&mut self, index: usize) { | |
| debug_assert!(index != self.pos); | |
| debug_assert!(index < self.data.len()); | |
| let index_ptr: *const _ = self.data.get_unchecked(index); | |
| let hole_ptr = self.data.get_unchecked_mut(self.pos); | |
| ptr::copy_nonoverlapping(index_ptr, hole_ptr, 1); | |
| self.pos = index; | |
| } | |
| } | |
| impl<'a, T> Drop for Hole<'a, T> { | |
| #[inline] | |
| fn drop(&mut self) { | |
| // fill the hole again | |
| unsafe { | |
| let pos = self.pos; | |
| ptr::copy_nonoverlapping(&*self.elt, self.data.get_unchecked_mut(pos), 1); | |
| } | |
| } | |
| } | |
| /// An iterator over the elements of a `BinaryHeap`. | |
| /// | |
| /// This `struct` is created by the [`iter`] method on [`BinaryHeap`]. See its | |
| /// documentation for more. | |
| /// | |
| /// [`iter`]: struct.BinaryHeap.html#method.iter | |
| /// [`BinaryHeap`]: struct.BinaryHeap.html | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| pub struct Iter<'a, T: 'a> { | |
| iter: slice::Iter<'a, T>, | |
| } | |
| #[stable(feature = "collection_debug", since = "1.17.0")] | |
| impl<'a, T: 'a + fmt::Debug> fmt::Debug for Iter<'a, T> { | |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { | |
| f.debug_tuple("Iter") | |
| .field(&self.iter.as_slice()) | |
| .finish() | |
| } | |
| } | |
| // FIXME(#26925) Remove in favor of `#[derive(Clone)]` | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<'a, T> Clone for Iter<'a, T> { | |
| fn clone(&self) -> Iter<'a, T> { | |
| Iter { iter: self.iter.clone() } | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<'a, T> Iterator for Iter<'a, T> { | |
| type Item = &'a T; | |
| #[inline] | |
| fn next(&mut self) -> Option<&'a T> { | |
| self.iter.next() | |
| } | |
| #[inline] | |
| fn size_hint(&self) -> (usize, Option<usize>) { | |
| self.iter.size_hint() | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<'a, T> DoubleEndedIterator for Iter<'a, T> { | |
| #[inline] | |
| fn next_back(&mut self) -> Option<&'a T> { | |
| self.iter.next_back() | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<'a, T> ExactSizeIterator for Iter<'a, T> { | |
| fn is_empty(&self) -> bool { | |
| self.iter.is_empty() | |
| } | |
| } | |
| #[stable(feature = "fused", since = "1.26.0")] | |
| impl<'a, T> FusedIterator for Iter<'a, T> {} | |
| /// An owning iterator over the elements of a `BinaryHeap`. | |
| /// | |
| /// This `struct` is created by the [`into_iter`] method on [`BinaryHeap`][`BinaryHeap`] | |
| /// (provided by the `IntoIterator` trait). See its documentation for more. | |
| /// | |
| /// [`into_iter`]: struct.BinaryHeap.html#method.into_iter | |
| /// [`BinaryHeap`]: struct.BinaryHeap.html | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| #[derive(Clone)] | |
| pub struct IntoIter<T> { | |
| iter: vec::IntoIter<T>, | |
| } | |
| #[stable(feature = "collection_debug", since = "1.17.0")] | |
| impl<T: fmt::Debug> fmt::Debug for IntoIter<T> { | |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { | |
| f.debug_tuple("IntoIter") | |
| .field(&self.iter.as_slice()) | |
| .finish() | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T> Iterator for IntoIter<T> { | |
| type Item = T; | |
| #[inline] | |
| fn next(&mut self) -> Option<T> { | |
| self.iter.next() | |
| } | |
| #[inline] | |
| fn size_hint(&self) -> (usize, Option<usize>) { | |
| self.iter.size_hint() | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T> DoubleEndedIterator for IntoIter<T> { | |
| #[inline] | |
| fn next_back(&mut self) -> Option<T> { | |
| self.iter.next_back() | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T> ExactSizeIterator for IntoIter<T> { | |
| fn is_empty(&self) -> bool { | |
| self.iter.is_empty() | |
| } | |
| } | |
| #[stable(feature = "fused", since = "1.26.0")] | |
| impl<T> FusedIterator for IntoIter<T> {} | |
| /// A draining iterator over the elements of a `BinaryHeap`. | |
| /// | |
| /// This `struct` is created by the [`drain`] method on [`BinaryHeap`]. See its | |
| /// documentation for more. | |
| /// | |
| /// [`drain`]: struct.BinaryHeap.html#method.drain | |
| /// [`BinaryHeap`]: struct.BinaryHeap.html | |
| #[stable(feature = "drain", since = "1.6.0")] | |
| #[derive(Debug)] | |
| pub struct Drain<'a, T: 'a> { | |
| iter: vec::Drain<'a, T>, | |
| } | |
| #[stable(feature = "drain", since = "1.6.0")] | |
| impl<'a, T: 'a> Iterator for Drain<'a, T> { | |
| type Item = T; | |
| #[inline] | |
| fn next(&mut self) -> Option<T> { | |
| self.iter.next() | |
| } | |
| #[inline] | |
| fn size_hint(&self) -> (usize, Option<usize>) { | |
| self.iter.size_hint() | |
| } | |
| } | |
| #[stable(feature = "drain", since = "1.6.0")] | |
| impl<'a, T: 'a> DoubleEndedIterator for Drain<'a, T> { | |
| #[inline] | |
| fn next_back(&mut self) -> Option<T> { | |
| self.iter.next_back() | |
| } | |
| } | |
| #[stable(feature = "drain", since = "1.6.0")] | |
| impl<'a, T: 'a> ExactSizeIterator for Drain<'a, T> { | |
| fn is_empty(&self) -> bool { | |
| self.iter.is_empty() | |
| } | |
| } | |
| #[stable(feature = "fused", since = "1.26.0")] | |
| impl<'a, T: 'a> FusedIterator for Drain<'a, T> {} | |
| #[stable(feature = "binary_heap_extras_15", since = "1.5.0")] | |
| impl<T: Ord> From<Vec<T>> for BinaryHeap<T> { | |
| fn from(vec: Vec<T>) -> BinaryHeap<T> { | |
| let mut heap = BinaryHeap { data: vec }; | |
| heap.rebuild(); | |
| heap | |
| } | |
| } | |
| #[stable(feature = "binary_heap_extras_15", since = "1.5.0")] | |
| impl<T> From<BinaryHeap<T>> for Vec<T> { | |
| fn from(heap: BinaryHeap<T>) -> Vec<T> { | |
| heap.data | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T: Ord> FromIterator<T> for BinaryHeap<T> { | |
| fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> BinaryHeap<T> { | |
| BinaryHeap::from(iter.into_iter().collect::<Vec<_>>()) | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T: Ord> IntoIterator for BinaryHeap<T> { | |
| type Item = T; | |
| type IntoIter = IntoIter<T>; | |
| /// Creates a consuming iterator, that is, one that moves each value out of | |
| /// the binary heap in arbitrary order. The binary heap cannot be used | |
| /// after calling this. | |
| /// | |
| /// # Examples | |
| /// | |
| /// Basic usage: | |
| /// | |
| /// ``` | |
| /// use std::collections::BinaryHeap; | |
| /// let heap = BinaryHeap::from(vec![1, 2, 3, 4]); | |
| /// | |
| /// // Print 1, 2, 3, 4 in arbitrary order | |
| /// for x in heap.into_iter() { | |
| /// // x has type i32, not &i32 | |
| /// println!("{}", x); | |
| /// } | |
| /// ``` | |
| fn into_iter(self) -> IntoIter<T> { | |
| IntoIter { iter: self.data.into_iter() } | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<'a, T> IntoIterator for &'a BinaryHeap<T> | |
| where T: Ord | |
| { | |
| type Item = &'a T; | |
| type IntoIter = Iter<'a, T>; | |
| fn into_iter(self) -> Iter<'a, T> { | |
| self.iter() | |
| } | |
| } | |
| #[stable(feature = "rust1", since = "1.0.0")] | |
| impl<T: Ord> Extend<T> for BinaryHeap<T> { | |
| #[inline] | |
| fn extend<I: IntoIterator<Item = T>>(&mut self, iter: I) { | |
| <Self as SpecExtend<I>>::spec_extend(self, iter); | |
| } | |
| } | |
| impl<T: Ord, I: IntoIterator<Item = T>> SpecExtend<I> for BinaryHeap<T> { | |
| default fn spec_extend(&mut self, iter: I) { | |
| self.extend_desugared(iter.into_iter()); | |
| } | |
| } | |
| impl<T: Ord> SpecExtend<BinaryHeap<T>> for BinaryHeap<T> { | |
| fn spec_extend(&mut self, ref mut other: BinaryHeap<T>) { | |
| self.append(other); | |
| } | |
| } | |
| impl<T: Ord> BinaryHeap<T> { | |
| fn extend_desugared<I: IntoIterator<Item = T>>(&mut self, iter: I) { | |
| let iterator = iter.into_iter(); | |
| let (lower, _) = iterator.size_hint(); | |
| self.reserve(lower); | |
| for elem in iterator { | |
| self.push(elem); | |
| } | |
| } | |
| } | |
| #[stable(feature = "extend_ref", since = "1.2.0")] | |
| impl<'a, T: 'a + Ord + Copy> Extend<&'a T> for BinaryHeap<T> { | |
| fn extend<I: IntoIterator<Item = &'a T>>(&mut self, iter: I) { | |
| self.extend(iter.into_iter().cloned()); | |
| } | |
| } |