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mod heuristic; pub use heuristic::*; const HIGH: u32 = 0x8000_0000; use std::slice; /// Contains a list of 16 children node IDs. /// /// `16 * 32` (`512`) bits (`64` bytes) is the size of cache lines in Intel /// processors. This struct attempts to take advantage of that. /// /// Each child ID's highest bit indicates if it is an internal node or a /// leaf node. /// /// If a child is `0` then it is empty because the root node can never be pointed to. #[derive(Copy, Clone, Debug, Default)] struct Internal([u32; 16]); #[derive(Clone, Debug)] pub struct BinTrie { /// The root node is always at index `0` to simplify things. internals: Vec<Internal>, /// The maximum depth to stop at. depth: u32, } impl BinTrie { /// Makes a new trie with a maximum `depth` of `8192`. /// /// ``` /// # use bintrie::BinTrie; /// let trie = BinTrie::new(); /// ``` pub fn new() -> Self { Default::default() } /// Makes a new trie with a given maximum `depth`. /// /// ``` /// # use bintrie::BinTrie; /// let trie = BinTrie::new_depth(128); /// ``` pub fn new_depth(depth: u32) -> Self { assert!(depth > 0); Self { internals: vec![Internal::default()], depth, } } /// Inserts a number that does not have the most significant bit set. /// /// `K(n)` - A function that provides the `n`th group of `4` bits for the /// key. /// `F(item, n)` - A function that must be able to look up the nth group /// of `4` bits from a previously inserted `u32`. /// /// ``` /// # use bintrie::BinTrie; /// let mut trie = BinTrie::new(); /// // Note that the item, the key, and the lookup key all obey the /// // unsafe requirements. /// trie.insert(5, |_| 0, |_, _| 0); /// assert_eq!(trie.items().collect::<Vec<u32>>(), vec![5]); /// ``` #[inline(always)] pub fn insert<K, F>(&mut self, item: u32, mut key: K, mut lookup: F) where K: FnMut(u32) -> usize, F: FnMut(u32, u32) -> usize, { assert!(item & HIGH == 0); unsafe { self.insert_unchecked( item, |n| { let out = key(n); assert!(out < 16); out }, |item, group| { let out = lookup(item, group); assert!(out < 16); out }, ); } } /// Inserts a number that does not have the most significant bit set. /// /// This version is unsafe because it doesn't verify that the output /// of `K` and `F` are below `16`. It also doesn't verify that the /// `item` doesn't have its most significant bit set. Ensure these /// conditions are met before calling this. It still asserts /// that there aren't too many internal nodes. /// /// `K(n)` - A function that provides the `n`th group of `4` bits for the /// key. /// `F(item, n)` - A function that must be able to look up the nth group /// of `4` bits from a previously inserted `u32`. /// /// ``` /// # use bintrie::BinTrie; /// let mut trie = BinTrie::new(); /// // Note that the item, the key, and the lookup key all obey the /// // unsafe requirements. /// unsafe { /// trie.insert_unchecked(5, |_| 0, |_, _| 0); /// } /// assert_eq!(trie.items().collect::<Vec<u32>>(), vec![5]); /// ``` #[inline(always)] pub unsafe fn insert_unchecked<K, F>(&mut self, item: u32, mut key: K, mut lookup: F) where K: FnMut(u32) -> usize, F: FnMut(u32, u32) -> usize, { let mut index = 0; for i in 0..self.depth - 1 { let position = key(i); match *self .internals .get_unchecked(index) .0 .get_unchecked(position) { // Empty node encountered. 0 => { // Insert the item in the empty spot, making sure to set // its most significant bit to indicate it is a leaf. *self .internals .get_unchecked_mut(index) .0 .get_unchecked_mut(position) = item | HIGH; // That's it. return; } // Leaf node encountered. m if m & HIGH != 0 => { // Make an empty node. let mut new_internal = Internal::default(); // Add the existing `m` to its proper location. *new_internal.0.get_unchecked_mut(lookup(m & !HIGH, i + 1)) = m; // Get the index of the next internal node. let new_index = self.internals.len() as u32; // Panic if we go too high to fit in our indices. assert!(new_index & HIGH == 0); // Insert the new internal node onto the internals vector. self.internals.push(new_internal); // Insert the new index to the parent node. *self .internals .get_unchecked_mut(index) .0 .get_unchecked_mut(position) = new_index; // Fallthrough to the next iteration where it will either // be expanded or hit the empty leaf node position. index = new_index as usize; } // Internal node encountered. m => { // Move to the internal node. index = m as usize; } } } // For the last bit we only handle the case that we can insert it. // The group position is `depth - 1`. let position = key(self.depth - 1); // Check if it is a leaf node. if *self .internals .get_unchecked(index) .0 .get_unchecked(position) == 0 { // Insert the item in the empty spot, making sure to set // its most significant bit to indicate it is a leaf. *self .internals .get_unchecked_mut(index) .0 .get_unchecked_mut(position) = item | HIGH; } } /// Perform a lookup for a particular item. /// /// `K(n)` - A function that provides the `n`th group of `4` bits for the /// key. /// /// ``` /// # use bintrie::BinTrie; /// let mut trie = BinTrie::new(); /// // Note that the item, the key, and the lookup key all obey the /// // unsafe requirements. /// let key = |_| 0; /// let lookup = |_, _| 0; /// trie.insert(5, key, lookup); /// assert_eq!(trie.get(key), Some(5)); /// assert_eq!(trie.get(|_| 1), None); /// ``` #[inline(always)] pub fn get<K>(&self, mut key: K) -> Option<u32> where K: FnMut(u32) -> usize, { unsafe { self.get_unchecked(|n| { let out = key(n); assert!(out < 16); out }) } } /// Perform a lookup for a particular item. /// /// `K(n)` - A function that provides the `n`th group of `4` bits for the /// key. /// /// This is unsafe to call because `key` is assumed to return indices /// below `16`. /// /// ``` /// # use bintrie::BinTrie; /// let mut trie = BinTrie::new(); /// // Note that the item, the key, and the lookup key all obey the /// // unsafe requirements. /// let key = |_| 0; /// let lookup = |_, _| 0; /// trie.insert(5, key, lookup); /// unsafe { /// assert_eq!(trie.get_unchecked(key), Some(5)); /// assert_eq!(trie.get_unchecked(|_| 1), None); /// } /// ``` #[inline(always)] pub unsafe fn get_unchecked<K>(&self, mut key: K) -> Option<u32> where K: FnMut(u32) -> usize, { let mut index = 0; for i in 0..self.depth { match *self.internals.get_unchecked(index).0.get_unchecked(key(i)) { // Empty node encountered. 0 => { return None; } // Leaf node encountered. m if m & HIGH != 0 => return Some(m & !HIGH), // Internal node encountered. m => { // Move to the internal node. index = m as usize; } } } None } /// Get an iterator over the items added to the trie. /// /// ``` /// # use bintrie::BinTrie; /// let mut trie = BinTrie::new(); /// trie.insert(3, |_| 0, |_, _| 0); /// assert_eq!(trie.items().collect::<Vec<u32>>(), vec![3]); /// ``` pub fn items<'a>(&'a self) -> impl Iterator<Item = u32> + 'a { Iter::new(self) } /// Iterates over the trie while using the `heuristic` to guide iteration. /// /// This can be used to limit the search space or to guide the search space /// for a fast k-NN or other spatial heuristic search. /// /// `heuristic` must implement `UncheckedHeuristic`, which the normal /// `Heuristic` trait satisfies. Implement `Heuristic` unless you are sure /// that you need `UncheckedHeuristic`, which is **unsafe** to implement. /// /// ``` /// # use bintrie::{BinTrie, FnHeuristic}; /// let mut trie = BinTrie::new(); /// let lookup = |n, l| match n { /// 3 => 0, /// 5 => if l == 1 { 1 } else {0}, /// _ => 0, /// }; /// trie.insert(3, |n| lookup(3, n), lookup); /// trie.insert(5, |n| lookup(5, n), lookup); /// assert_eq!(trie.explore(FnHeuristic(|n| n < 2)).collect::<Vec<u32>>(), vec![3, 5]); /// assert_eq!(trie.explore(FnHeuristic(|n| n == 0)).collect::<Vec<u32>>(), vec![3]); /// let mut level = 0; /// assert_eq!(trie.explore(FnHeuristic(move |n| { /// level += 1; /// match level { /// 1 => n == 0, /// 2 => n == 1, /// _ => false, /// } /// })).collect::<Vec<u32>>(), vec![5]); /// ``` pub fn explore<'a, H>(&'a self, heuristic: H) -> impl Iterator<Item = u32> + 'a where H: IntoHeuristic, H::Heuristic: 'a, { ExploreIter::new(self, heuristic.into_heuristic()) } } impl Default for BinTrie { fn default() -> Self { Self { internals: vec![Internal::default()], depth: 8192, } } } struct Iter<'a> { trie: &'a BinTrie, indices: Vec<slice::Iter<'a, u32>>, } impl<'a> Iter<'a> { fn new(trie: &'a BinTrie) -> Self { Self { trie, indices: vec![trie.internals[0].0.iter()], } } } impl<'a> Iterator for Iter<'a> { type Item = u32; #[inline(always)] fn next(&mut self) -> Option<Self::Item> { loop { // Get the current slice. If there is none, then we return `None`. let mut current = self.indices.pop()?; // Get the next item in the slice or continue the loop if its empty. let n = if let Some(n) = current.next() { // Push the slice back. self.indices.push(current); n } else { continue; }; // Check what kind of node it is. match n { // Empty node 0 => {} // Leaf node n if n & HIGH != 0 => { return Some(n & !HIGH); } // Internal node &n => self.indices.push(self.trie.internals[n as usize].0.iter()), } } } } struct ExploreIter<'a, H> where H: UncheckedHeuristic, { trie: &'a BinTrie, indices: Vec<(&'a [u32; 16], H, H::UncheckedIter)>, } impl<'a, H> ExploreIter<'a, H> where H: UncheckedHeuristic, { fn new(trie: &'a BinTrie, heuristic: H) -> Self { let iter = heuristic.iter_unchecked(); Self { trie, indices: vec![(&trie.internals[0].0, heuristic, iter)], } } } impl<'a, H> Iterator for ExploreIter<'a, H> where H: UncheckedHeuristic, { type Item = u32; #[inline(always)] fn next(&mut self) -> Option<Self::Item> { loop { // Get the current array, heuristic, and iter. // If there is none, then we return `None`. let (array, heuristic, mut iter) = self.indices.pop()?; // Clone the heuristic before we put it back so we can // use it when descending further. let mut next_heuristic = heuristic.clone(); // Get the next item in the array or continue the loop if its empty. let (choice, n) = if let Some(choice) = iter.next() { let n = unsafe { array.get_unchecked(choice) }; // Push the state back. self.indices.push((array, heuristic, iter)); (choice, n) } else { continue; }; // Check what kind of node it is. match n { // Empty node 0 => {} // Leaf node n if n & HIGH != 0 => { return Some(n & !HIGH); } // Internal node &n => { next_heuristic.enter_unchecked(choice); let iter = next_heuristic.iter_unchecked(); self.indices .push((&self.trie.internals[n as usize].0, next_heuristic, iter)) } } } } }