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
use std::fmt::{Debug, Display};
#[allow(dead_code)]
fn parent(i: usize) -> usize {
i / 2
}
fn left(i: usize) -> usize {
((i + 1) << 1) - 1
}
fn right(i: usize) -> usize {
(i + 1) << 1
}
#[derive(Debug)]
pub struct Heap<T> {
data: Vec<T>,
size: usize,
}
impl<T: Clone + PartialOrd + Default + Display + Debug> Heap<T> {
pub fn from_vector(array: &[T]) -> Self {
Self {
data: array.into(),
size: array.len() - 1,
}
}
pub fn len(&self) -> usize {
self.size
}
pub fn is_empty(&self) -> bool {
self.len() == 0
}
pub fn max_heapify(&mut self, index: usize) {
let mut largest = index;
let left = left(index);
let right = right(index);
if left <= self.len() && self.data.get(largest) < self.data.get(left) {
largest = left;
}
if right <= self.len() && self.data.get(largest) < self.data.get(right) {
largest = right;
}
if largest != index {
self.data.swap(index, largest);
self.max_heapify(largest);
}
}
pub fn min_heapify(&mut self, index: usize) {
let mut min = index;
let left = left(index);
let right = right(index);
if left <= self.len() && self.data.get(min) > self.data.get(left) {
min = left;
}
if right <= self.len() && self.data.get(min) > self.data.get(right) {
min = right;
}
if min != index {
self.data.swap(index, min);
self.min_heapify(min);
}
}
pub fn build_max_heap(&mut self) {
for index in (0..(self.len() / 2)).rev() {
self.max_heapify(index);
}
}
pub fn build_min_heap(&mut self) {
for index in (0..(self.len() / 2)).rev() {
self.min_heapify(index);
}
}
pub fn heap_sort(&mut self) {
self.build_max_heap();
for index in (1..self.data.len()).rev() {
self.data.swap(0, index);
self.size -= 1;
self.max_heapify(0);
}
}
pub fn heap_sort_by_min_heap(&mut self) {
self.build_min_heap();
for index in (1..self.data.len()).rev() {
self.data.swap(0, index);
self.size -= 1;
self.min_heapify(0);
}
}
}
#[test]
fn test_replace() {
let mut vec_temp = vec![1, 2, 3];
vec_temp.swap(0, 1);
println!("vector = {:?}", vec_temp);
}
#[test]
fn test_build_max_heap() {
let mut temp_heap = Heap::from_vector(&vec![5, 3, 7, 9, 10, 23, 45, 23, 12, 23, 0, 12, 32]);
println!("temp Heap = {:?}", temp_heap);
temp_heap.heap_sort();
println!("temp Heap = {:?}", temp_heap);
}
#[test]
fn test_build_min_heap() {
let mut min_heap = Heap::from_vector(&vec![3, 2, 1, 0, 23, 34, 56, 11, 230, 12]);
println!("min_heap = {:?}", min_heap);
min_heap.build_min_heap();
min_heap.heap_sort_by_min_heap();
println!("min_heap = {:?}", min_heap);
}