1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
use std::fmt;
use std::marker::Sync;
use rand::seq::SliceRandom;
use rand::rngs::ThreadRng;
use rand::Rng;
pub mod node;
pub mod iterators;
pub use node::{Node, Link};
#[derive(PartialEq)]
pub struct Tree<T: Clone> {
root: Link<T>,
size: i32,
}
impl<T: Clone> Tree<T> {
pub fn new() -> Self {
Tree {
root: None,
size: 0,
}
}
pub fn from_slice(nodes: &mut [Option<T>]) -> Self {
let mut tree = Self::new();
tree.size = nodes.len() as i32;
tree.set_root(tree.make_tree(nodes));
tree
}
pub(crate) fn root_mut_opt(&mut self) -> Option<&mut Node<T>> {
self.root.as_mut().map(|n| n.as_mut())
}
pub(crate) fn root_opt(&self) -> Option<&Node<T>> {
self.root.as_ref().map(|n| n.as_ref())
}
pub(crate) fn set_root(&mut self, root: Link<T>) {
self.drop_root();
self.root = root;
}
fn drop_root(&mut self) {
self.root = None;
}
pub fn iter_mut(&mut self) -> iterators::IterMut<'_, T> {
iterators::IterMut::new(self.root_mut_opt())
}
pub fn level_order_iter(&self) -> iterators::LevelOrderIterator<'_, T> {
iterators::LevelOrderIterator::new(self.root_opt())
}
pub fn in_order_iter(&self) -> iterators::InOrderIterator<'_, T> {
iterators::InOrderIterator::new(self.root_opt())
}
pub fn len(&self) -> usize {
self.size as usize
}
pub fn update_size(&mut self) {
self.size = match self.root_opt() {
Some(root) => root.size(),
None => 0,
};
}
#[inline]
pub fn height(&self) -> i32 {
match self.root_opt() {
Some(root) => root.height(),
None => 0,
}
}
#[inline]
pub fn get(&self, index: usize) -> Option<&T> {
self.in_order_iter().nth(index).map(|n| n.get())
}
#[inline]
pub fn get_mut(&mut self, index: usize) -> Option<&mut T> {
self.get_node_mut(index).map(|n| n.get_mut())
}
#[inline]
pub fn get_node_mut(&mut self, index: usize) -> Option<&mut Node<T>> {
self.iter_mut().nth(index)
}
#[inline]
pub fn index_of(&self, node: &Node<T>) -> usize {
let mut temp: Option<usize> = None;
for (index, curr) in self.in_order_iter().enumerate() {
if curr == node {
temp = Some(index);
break;
}
}
temp.unwrap_or_else(|| panic!("Node index not found."))
}
pub fn insert_random(&mut self, elem: T) {
let node = Node::new(elem);
match self.root_mut_opt() {
Some(root) => {
root.insert_random(node);
},
None => {
self.set_root(Some(node));
},
}
self.size += 1;
}
pub fn display(&self) {
match &self.root {
None => panic!("The no root node"),
Some(root) => root.display(0),
}
}
pub fn balance(&mut self) {
let mut node_bag = self.in_order_iter()
.map(|x: &Node<T>| Some(x.get().clone()))
.collect::<Vec<_>>();
self.set_root(self.make_tree(&mut node_bag[..]));
}
#[inline]
fn make_tree(&self, bag: &mut [Option<T>]) -> Link<T> {
let midpoint = bag.len() / 2;
let (left, right) = bag.split_at_mut(midpoint);
if let Some((node, right)) = right.split_first_mut() {
let mut curr_node = Node::new(node.take().unwrap());
curr_node.set_left_child(self.make_tree(left));
curr_node.set_right_child(self.make_tree(right));
Some(curr_node)
} else {
return None;
}
}
#[inline]
pub fn get_biased_level<'a>(&'a self) -> Vec<&'a Node<T>> {
let mut r = rand::thread_rng();
let height = self.height();
let index = r.gen_range(0, self.len()) as usize;
let levels = self.level_order_iter()
.map(|x: &Node<T>| height - x.height())
.collect::<Vec<_>>();
self.in_order_iter()
.filter(|x| x.depth() == levels[index])
.collect::<Vec<_>>()
}
pub fn get_biased_random_node<'a>(&'a self) -> &'a Node<T> {
let mut nodes = self.get_biased_level();
let index = rand::thread_rng().gen_range(0, nodes.len());
nodes.remove(index)
}
pub(crate) fn replace(&mut self, swap_index: usize, mut other_node: Box<Node<T>>) {
let swap_node = self.get_node_mut(swap_index)
.expect("Index not found in tree.");
match swap_node.is_left_child() {
Some(true) => {
if let Some(parent) = swap_node.parent_mut_opt() {
parent.set_left_child(Some(other_node));
}
},
Some(false) => {
if let Some(parent) = swap_node.parent_mut_opt() {
parent.set_right_child(Some(other_node));
}
},
None => {
other_node.remove_from_parent();
self.set_root(Some(other_node));
}
};
self.update_size();
}
#[inline]
pub fn shuffle_tree(&mut self, r: &mut ThreadRng) {
let mut node_list = self.in_order_iter()
.map(|x: &Node<T>| Some(x.get().clone()))
.collect::<Vec<_>>();
node_list.shuffle(r);
self.set_root(self.make_tree(&mut node_list[..]));
}
}
impl<T: Clone> fmt::Debug for Tree<T> {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
write!(f, "Tree=[{}]", self.size)
}
}
impl<T: Clone> Clone for Tree<T> {
#[inline]
fn clone(&self) -> Self {
let root = self.root_opt().map(|n| n.deepcopy());
Tree {
root,
size: self.size,
}
}
}
impl<T: Clone> Drop for Tree<T> {
fn drop(&mut self) {
self.drop_root();
}
}
unsafe impl<T: Clone> Send for Tree<T> {}
unsafe impl<T: Clone> Sync for Tree<T> {}
impl<T: Clone> Default for Tree<T> {
fn default() -> Self {
Tree {
root: None,
size: 0
}
}
}