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1use crate::size_hint;
2use crate::Itertools;
3
4use std::mem::replace;
5use std::fmt;
6
7/// Head element and Tail iterator pair
8///
9/// `PartialEq`, `Eq`, `PartialOrd` and `Ord` are implemented by comparing sequences based on
10/// first items (which are guaranteed to exist).
11///
12/// The meanings of `PartialOrd` and `Ord` are reversed so as to turn the heap used in
13/// `KMerge` into a min-heap.
14#[derive(Debug)]
15struct HeadTail<I>
16 where I: Iterator
17{
18 head: I::Item,
19 tail: I,
20}
21
22impl<I> HeadTail<I>
23 where I: Iterator
24{
25 /// Constructs a `HeadTail` from an `Iterator`. Returns `None` if the `Iterator` is empty.
26 fn new(mut it: I) -> Option<HeadTail<I>> {
27 let head = it.next();
28 head.map(|h| {
29 HeadTail {
30 head: h,
31 tail: it,
32 }
33 })
34 }
35
36 /// Get the next element and update `head`, returning the old head in `Some`.
37 ///
38 /// Returns `None` when the tail is exhausted (only `head` then remains).
39 fn next(&mut self) -> Option<I::Item> {
40 if let Some(next) = self.tail.next() {
41 Some(replace(&mut self.head, next))
42 } else {
43 None
44 }
45 }
46
47 /// Hints at the size of the sequence, same as the `Iterator` method.
48 fn size_hint(&self) -> (usize, Option<usize>) {
49 size_hint::add_scalar(self.tail.size_hint(), 1)
50 }
51}
52
53impl<I> Clone for HeadTail<I>
54 where I: Iterator + Clone,
55 I::Item: Clone
56{
57 clone_fields!(head, tail);
58}
59
60/// Make `data` a heap (min-heap w.r.t the sorting).
61fn heapify<T, S>(data: &mut [T], mut less_than: S)
62 where S: FnMut(&T, &T) -> bool
63{
64 for i in (0..data.len() / 2).rev() {
65 sift_down(data, i, &mut less_than);
66 }
67}
68
69/// Sift down element at `index` (`heap` is a min-heap wrt the ordering)
70fn sift_down<T, S>(heap: &mut [T], index: usize, mut less_than: S)
71 where S: FnMut(&T, &T) -> bool
72{
73 debug_assert!(index <= heap.len());
74 let mut pos = index;
75 let mut child = 2 * pos + 1;
76 // the `pos` conditional is to avoid a bounds check
77 while pos < heap.len() && child < heap.len() {
78 let right = child + 1;
79
80 // pick the smaller of the two children
81 if right < heap.len() && less_than(&heap[right], &heap[child]) {
82 child = right;
83 }
84
85 // sift down is done if we are already in order
86 if !less_than(&heap[child], &heap[pos]) {
87 return;
88 }
89 heap.swap(pos, child);
90 pos = child;
91 child = 2 * pos + 1;
92 }
93}
94
95/// An iterator adaptor that merges an abitrary number of base iterators in ascending order.
96/// If all base iterators are sorted (ascending), the result is sorted.
97///
98/// Iterator element type is `I::Item`.
99///
100/// See [`.kmerge()`](../trait.Itertools.html#method.kmerge) for more information.
101#[must_use = "iterator adaptors are lazy and do nothing unless consumed"]
102pub type KMerge<I> = KMergeBy<I, KMergeByLt>;
103
104pub trait KMergePredicate<T> {
105 fn kmerge_pred(&mut self, a: &T, b: &T) -> bool;
106}
107
108#[derive(Clone)]
109pub struct KMergeByLt;
110
111impl<T: PartialOrd> KMergePredicate<T> for KMergeByLt {
112 fn kmerge_pred(&mut self, a: &T, b: &T) -> bool {
113 a < b
114 }
115}
116
117impl<T, F: FnMut(&T, &T)->bool> KMergePredicate<T> for F {
118 fn kmerge_pred(&mut self, a: &T, b: &T) -> bool {
119 self(a, b)
120 }
121}
122
123/// Create an iterator that merges elements of the contained iterators using
124/// the ordering function.
125///
126/// Equivalent to `iterable.into_iter().kmerge()`.
127///
128/// ```
129/// use itertools::kmerge;
130///
131/// for elt in kmerge(vec![vec![0, 2, 4], vec![1, 3, 5], vec![6, 7]]) {
132/// /* loop body */
133/// }
134/// ```
135pub fn kmerge<I>(iterable: I) -> KMerge<<I::Item as IntoIterator>::IntoIter>
136 where I: IntoIterator,
137 I::Item: IntoIterator,
138 <<I as IntoIterator>::Item as IntoIterator>::Item: PartialOrd
139{
140 kmerge_by(iterable, KMergeByLt)
141}
142
143/// An iterator adaptor that merges an abitrary number of base iterators
144/// according to an ordering function.
145///
146/// Iterator element type is `I::Item`.
147///
148/// See [`.kmerge_by()`](../trait.Itertools.html#method.kmerge_by) for more
149/// information.
150#[must_use = "iterator adaptors are lazy and do nothing unless consumed"]
151pub struct KMergeBy<I, F>
152 where I: Iterator,
153{
154 heap: Vec<HeadTail<I>>,
155 less_than: F,
156}
157
158impl<I, F> fmt::Debug for KMergeBy<I, F>
159 where I: Iterator + fmt::Debug,
160 I::Item: fmt::Debug,
161{
162 debug_fmt_fields!(KMergeBy, heap);
163}
164
165/// Create an iterator that merges elements of the contained iterators.
166///
167/// Equivalent to `iterable.into_iter().kmerge_by(less_than)`.
168pub fn kmerge_by<I, F>(iterable: I, mut less_than: F)
169 -> KMergeBy<<I::Item as IntoIterator>::IntoIter, F>
170 where I: IntoIterator,
171 I::Item: IntoIterator,
172 F: KMergePredicate<<<I as IntoIterator>::Item as IntoIterator>::Item>,
173{
174 let iter = iterable.into_iter();
175 let (lower, _) = iter.size_hint();
176 let mut heap: Vec<_> = Vec::with_capacity(lower);
177 heap.extend(iter.filter_map(|it| HeadTail::new(it.into_iter())));
178 heapify(&mut heap, |a, b| less_than.kmerge_pred(&a.head, &b.head));
179 KMergeBy { heap, less_than }
180}
181
182impl<I, F> Clone for KMergeBy<I, F>
183 where I: Iterator + Clone,
184 I::Item: Clone,
185 F: Clone,
186{
187 clone_fields!(heap, less_than);
188}
189
190impl<I, F> Iterator for KMergeBy<I, F>
191 where I: Iterator,
192 F: KMergePredicate<I::Item>
193{
194 type Item = I::Item;
195
196 fn next(&mut self) -> Option<Self::Item> {
197 if self.heap.is_empty() {
198 return None;
199 }
200 let result = if let Some(next) = self.heap[0].next() {
201 next
202 } else {
203 self.heap.swap_remove(0).head
204 };
205 let less_than = &mut self.less_than;
206 sift_down(&mut self.heap, 0, |a, b| less_than.kmerge_pred(&a.head, &b.head));
207 Some(result)
208 }
209
210 fn size_hint(&self) -> (usize, Option<usize>) {
211 self.heap.iter()
212 .map(|i| i.size_hint())
213 .fold1(size_hint::add)
214 .unwrap_or((0, Some(0)))
215 }
216}