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
|
mod iter;
use iter::Iter;
use std::fmt;
use std::ops::{Add, Sub};
#[derive(PartialEq, Debug, Clone)]
pub struct Poly {
data: Vec<f32>,
degree: usize,
}
impl Poly {
pub fn new(data: Vec<f32>) -> Poly {
if data.len() > 1 {
let mut i = data.len() - 1;
while data[i] == 0.0 && i > 0 {
i -= 1;
}
Poly { data, degree: i }
} else {
Poly { data, degree: 0 }
}
}
pub fn degree(&self) -> usize {
self.degree
}
fn iter(&self) -> Iter {
Iter::new(self.data.clone(), self.degree())
}
pub fn shift(self) -> Poly {
let mut r = vec![0.0];
r.append(&mut self.data.clone());
Poly::new(r)
}
pub fn deriv(&self) -> Poly {
let mut data = vec![0.0; self.degree()];
if self.degree() > 0 {
for i in 0..self.degree() {
data[i] = self.data[i + 1] * (i + 1) as f32;
}
Poly::new(data)
} else {
Poly::new(vec![0.0])
}
}
}
impl Add for &Poly {
type Output = Poly;
fn add(self, other: Self) -> Poly {
Poly::new(self.iter().zip(other.iter()).map(|(x, y)| x + y).collect())
}
}
impl Sub for &Poly {
type Output = Poly;
fn sub(self, other: Self) -> Poly {
Poly::new(self.iter().zip(other.iter()).map(|(x, y)| x - y).collect())
}
}
impl fmt::Display for &Poly {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
let mut s = String::new();
for i in 0..self.data.len() {
s.push_str(&self.data[i].clone().to_string());
if i < self.data.len() - 1 {
s.push_str(", ");
}
}
write!(f, "{}", s)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn shift_test() {
let a = Poly::new(vec![1.0, 2.0, 3.0]);
assert_eq!(a.shift(), Poly::new(vec![0.0, 1.0, 2.0, 3.0]));
}
#[test]
fn add_test() {
let a = Poly::new(vec![1.0]);
let b = Poly::new(vec![0.0, 0.0, 0.0, 1.0]);
assert_eq!(&a + &b, Poly::new(vec![1.0, 0.0, 0.0, 1.0]));
}
#[test]
fn sub_test() {
let a = Poly::new(vec![1.0, 2.0, 3.0]);
let b = Poly::new(vec![1.0, 1.0, 1.0]);
assert_eq!(&a - &b, Poly::new(vec![0.0, 1.0, 2.0]));
}
#[test]
fn deriv_test() {
let p = Poly::new(vec![1.0, 2.0, 3.0, 4.0]);
assert_eq!(p.deriv(), Poly::new(vec![2.0, 6.0, 12.0]));
}
#[test]
fn degree_is_five() {
let p = Poly::new(vec![0.0, 0.0, 0.0, 0.0, 0.0, 2.0]);
assert_eq!(p.degree(), 5);
}
#[test]
fn degree_is_zero() {
let p = Poly::new(vec![0.0; 6]);
assert_eq!(p.degree(), 0);
}
}
|