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
extern crate num_traits;
pub mod stats;
mod jenks;
mod classif;
pub use classif::{Classification, BoundsInfo};
pub use jenks::get_jenks_breaks;
pub use classif::{get_quantiles, get_equal_interval, get_head_tail_breaks, get_tail_head_breaks,
get_arithmetic_breaks};
#[cfg(test)]
mod tests {
use ::*;
fn get_test_values() -> [f64; 76] {
[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0,
3.0, 3.0, 3.0, 2.0, 2.0, 2.0, 2.0, 1.0, 1.0, 12.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0,
10.0, 11.0, 5.0, 6.0, 7.0, 6.0, 5.0, 6.0, 7.0, 8.0, 8.0, 9.0, 8.0, 7.0, 6.0, 7.0, 8.0,
9.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 3.0,
2.0, 2.0, 2.0, 1.0, 1.0, 1.0]
}
#[test]
fn test_head_tail() {
let mut values = get_test_values();
let b = BoundsInfo::new(4, &values, Classification::HeadTail).unwrap();
assert_eq!(b.bounds.as_slice(), [1., 7., 9.090909090909092, 11., 12.]);
values.sort_by(|a, b| a.partial_cmp(b).unwrap());
let breaks = get_head_tail_breaks(&mut values);
assert_eq!(breaks.as_slice(), [1., 7., 9.090909090909092, 11., 12.]);
}
#[test]
fn test_jenks_breaks() {
let mut values = get_test_values();
let b = BoundsInfo::new(5, &values, Classification::JenksNaturalBreaks).unwrap();
assert_eq!(b.bounds.as_slice(), [1.0, 2.0, 4.0, 7.0, 9.0, 12.0]);
values.sort_by(|a, b| a.partial_cmp(b).unwrap());
let breaks = get_jenks_breaks(&values, 5);
assert_eq!(breaks.as_slice(), [1.0, 2.0, 4.0, 7.0, 9.0, 12.0]);
}
#[test]
fn test_quantiles_breaks() {
let mut values = get_test_values();
let b = BoundsInfo::new(4, &values, Classification::Quantiles).unwrap();
assert_eq!(b.bounds.as_slice(), [1., 2., 3., 6., 12.]);
values.sort_by(|a, b| a.partial_cmp(b).unwrap());
let breaks = get_quantiles(&values, 4);
assert_eq!(breaks.as_slice(), [1., 2., 3., 6., 12.]);
}
#[test]
fn test_equal_interval_breaks() {
let mut values = get_test_values();
let b = BoundsInfo::new(4, &values, Classification::EqualInterval).unwrap();
assert_eq!(b.bounds.as_slice(), [1., 3.75, 6.5, 9.25, 12.]);
values.sort_by(|a, b| a.partial_cmp(b).unwrap());
let breaks = get_equal_interval(&values, 4);
assert_eq!(breaks.as_slice(), [1., 3.75, 6.5, 9.25, 12.]);
}
#[test]
fn test_arithmetic_breaks() {
let mut values = get_test_values();
let b = BoundsInfo::new(6, &values, Classification::Arithmetic).unwrap();
assert_eq!(b.bounds.as_slice(),
[1.,
1.5238095238095237,
2.571428571428571,
4.142857142857142,
6.238095238095237,
8.857142857142856,
12.]);
values.sort_by(|a, b| a.partial_cmp(b).unwrap());
let breaks = get_arithmetic_breaks(&values, 6);
assert_eq!(breaks.as_slice(),
[1.,
1.5238095238095237,
2.571428571428571,
4.142857142857142,
6.238095238095237,
8.857142857142856,
12.]);
}
#[test]
fn test_get_class_index() {
let values = get_test_values();
let b = BoundsInfo::new(4, &values, Classification::EqualInterval).unwrap();
assert_eq!(b.bounds.as_slice(), [1., 3.75, 6.5, 9.25, 12.]);
assert_eq!(b.get_class_index(0.1), None);
assert_eq!(b.get_class_index(2.), Some(0));
assert_eq!(b.get_class_index(4.), Some(1));
assert_eq!(b.get_class_index(7.), Some(2));
assert_eq!(b.get_class_index(10.), Some(3));
assert_eq!(b.get_class_index(15.0), None);
}
#[test]
fn test_kurtosis() {
let values = get_test_values();
let kv = stats::kurtosis(&values);
assert_eq!(kv, 0.042107329018970074);
}
#[test]
fn test_variance() {
let values = get_test_values();
let r = stats::sum_pow_deviations(&values, 2);
assert_eq!(r, 608.631578947369);
let v = stats::variance(&values);
assert_eq!(v, 8.008310249307486);
}
#[test]
fn test_root_mean_square() {
let values = [-1., 1., -1., 1.];
let v = stats::rootmeansquare(&values);
assert_eq!(v, 1.);
}
#[test]
fn test_median() {
let values = [1., 3., 3., 6., 7., 8., 9.];
let median = stats::median(&values);
assert_eq!(median, 6.);
let values = [1., 2., 3., 4., 5., 6., 8., 9.];
let median = stats::median(&values);
assert_eq!(median, 4.5);
}
}