-
Notifications
You must be signed in to change notification settings - Fork 9
/
Copy pathsegment-tree.spec.ts
124 lines (117 loc) · 3.69 KB
/
segment-tree.spec.ts
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
import { SegmentTree } from '../src/segment-tree'
describe('SegmentTree', () => {
describe('.update()', () => {
it('add a single value', () => {
const tree = new SegmentTree(2)
tree.update(0, 3)
expect(tree.query(0, 0)).toEqual(3)
})
})
describe('.prefix()', () => {
it('should default value to 0', () => {
const tree = new SegmentTree(5)
expect(tree.prefix(0)).toEqual(0)
expect(tree.prefix(1)).toEqual(0)
expect(tree.prefix(2)).toEqual(0)
tree.update(0, 1)
expect(tree.prefix(0)).toEqual(1)
expect(tree.prefix(1)).toEqual(1)
expect(tree.prefix(2)).toEqual(1)
tree.update(1, 2)
expect(tree.prefix(0)).toEqual(1)
expect(tree.prefix(1)).toEqual(3)
expect(tree.prefix(2)).toEqual(3)
tree.update(2, 3)
expect(tree.prefix(0)).toEqual(1)
expect(tree.prefix(1)).toEqual(3)
expect(tree.prefix(2)).toEqual(6)
})
})
describe('prefix searching', () => {
const tree = new SegmentTree(5)
tree.update(0, 1) // sum 1
tree.update(1, 2) // sum 3
tree.update(2, 3) // sum 6
tree.update(3, 4) // sum 10
it('higher', () => {
expect(tree.higher(7)).toEqual(3)
expect(tree.higher(6)).toEqual(3)
expect(tree.higher(5)).toEqual(2)
expect(tree.higher(10)).toEqual(-1)
})
it('ceil', () => {
expect(tree.ceil(7)).toEqual(3)
expect(tree.ceil(6)).toEqual(2)
expect(tree.ceil(5)).toEqual(2)
expect(tree.ceil(11)).toEqual(-1)
})
it('lower', () => {
expect(tree.lower(7)).toEqual(2)
expect(tree.lower(6)).toEqual(1)
expect(tree.lower(5)).toEqual(1)
expect(tree.lower(0)).toEqual(-1)
})
it('floor', () => {
expect(tree.floor(7)).toEqual(2)
expect(tree.floor(6)).toEqual(2)
expect(tree.floor(5)).toEqual(1)
expect(tree.floor(0)).toEqual(-1)
})
})
describe('.query()', () => {
it('should default value to 0', () => {
const tree = new SegmentTree(5)
expect(tree.query(0, 0)).toEqual(0)
expect(tree.query(0, 4)).toEqual(0)
})
it('should handle invalid query', () => {
const tree = new SegmentTree(5)
tree.update(0, 1)
tree.update(1, 2)
expect(tree.query(-1, 5)).toEqual(3)
expect(tree.query(3, 0)).toEqual(0)
})
it('should support sum query', () => {
const tree = new SegmentTree(4)
tree.update(0, 1)
tree.update(1, 2)
tree.update(2, 1)
tree.update(3, 8)
expect(tree.query(0, 0)).toEqual(1)
expect(tree.query(3, 3)).toEqual(8)
expect(tree.query(0, 3)).toEqual(12)
expect(tree.query(1, 2)).toEqual(3)
})
it('should support customize query', () => {
const tree = new SegmentTree(4, (a, b) => Math.max(a, b))
tree.update(0, 1)
tree.update(1, 2)
tree.update(2, 1)
tree.update(3, 8)
expect(tree.query(0, 0)).toEqual(1)
expect(tree.query(3, 3)).toEqual(8)
expect(tree.query(0, 3)).toEqual(8)
expect(tree.query(1, 2)).toEqual(2)
})
})
describe('customize aggregate', () => {
it('aggregate=Math.max', () => {
const tree = new SegmentTree(5, Math.max)
expect(tree.prefix(0)).toEqual(0)
expect(tree.prefix(1)).toEqual(0)
expect(tree.prefix(2)).toEqual(0)
tree.update(0, 1)
expect(tree.prefix(0)).toEqual(1)
expect(tree.prefix(1)).toEqual(1)
expect(tree.prefix(2)).toEqual(1)
tree.update(1, 3)
expect(tree.prefix(0)).toEqual(1)
expect(tree.prefix(1)).toEqual(3)
expect(tree.prefix(2)).toEqual(3)
tree.update(2, 2)
expect(tree.prefix(0)).toEqual(1)
expect(tree.prefix(1)).toEqual(3)
expect(tree.prefix(2)).toEqual(3)
})
})
})