splines 0.2.3

Spline interpolation made easy
Documentation 
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

extern crate splines;
#[cfg(feature = "impl-nalgebra")] extern crate nalgebra;

#[cfg(feature = "impl-nalgebra")] use nalgebra as na;
#[cfg(feature = "impl-nalgebra")] use splines::Interpolate;

use splines::{Interpolation, Key, Spline};

#[test]
fn step_interpolation_0() {
  let start = Key::new(0., 0., Interpolation::Step(0.));
  let end = Key::new(1., 10., Interpolation::default());
  let spline = Spline::from_vec(vec![start, end]);

  assert_eq!(spline.sample(0.), Some(10.));
  assert_eq!(spline.sample(0.1), Some(10.));
  assert_eq!(spline.sample(0.2), Some(10.));
  assert_eq!(spline.sample(0.5), Some(10.));
  assert_eq!(spline.sample(0.9), Some(10.));
  assert_eq!(spline.sample(1.), None);
  assert_eq!(spline.clamped_sample(1.), 10.);
}

#[test]
fn step_interpolation_0_5() {
  let start = Key::new(0., 0., Interpolation::Step(0.5));
  let end = Key::new(1., 10., Interpolation::default());
  let spline = Spline::from_vec(vec![start, end]);

  assert_eq!(spline.sample(0.), Some(0.));
  assert_eq!(spline.sample(0.1), Some(0.));
  assert_eq!(spline.sample(0.2), Some(0.));
  assert_eq!(spline.sample(0.5), Some(10.));
  assert_eq!(spline.sample(0.9), Some(10.));
  assert_eq!(spline.sample(1.), None);
  assert_eq!(spline.clamped_sample(1.), 10.);
}

#[test]
fn step_interpolation_0_75() {
  let start = Key::new(0., 0., Interpolation::Step(0.75));
  let end = Key::new(1., 10., Interpolation::default());
  let spline = Spline::from_vec(vec![start, end]);

  assert_eq!(spline.sample(0.), Some(0.));
  assert_eq!(spline.sample(0.1), Some(0.));
  assert_eq!(spline.sample(0.2), Some(0.));
  assert_eq!(spline.sample(0.5), Some(0.));
  assert_eq!(spline.sample(0.9), Some(10.));
  assert_eq!(spline.sample(1.), None);
  assert_eq!(spline.clamped_sample(1.), 10.);
}

#[test]
fn step_interpolation_1() {
  let start = Key::new(0., 0., Interpolation::Step(1.));
  let end = Key::new(1., 10., Interpolation::default());
  let spline = Spline::from_vec(vec![start, end]);

  assert_eq!(spline.sample(0.), Some(0.));
  assert_eq!(spline.sample(0.1), Some(0.));
  assert_eq!(spline.sample(0.2), Some(0.));
  assert_eq!(spline.sample(0.5), Some(0.));
  assert_eq!(spline.sample(0.9), Some(0.));
  assert_eq!(spline.sample(1.), None);
  assert_eq!(spline.clamped_sample(1.), 10.);
}

#[test]
fn linear_interpolation() {
  let start = Key::new(0., 0., Interpolation::Linear);
  let end = Key::new(1., 10., Interpolation::default());
  let spline = Spline::from_vec(vec![start, end]);

  assert_eq!(spline.sample(0.), Some(0.));
  assert_eq!(spline.sample(0.1), Some(1.));
  assert_eq!(spline.sample(0.2), Some(2.));
  assert_eq!(spline.sample(0.5), Some(5.));
  assert_eq!(spline.sample(0.9), Some(9.));
  assert_eq!(spline.sample(1.), None);
  assert_eq!(spline.clamped_sample(1.), 10.);
}

#[test]
fn linear_interpolation_several_keys() {
  let start = Key::new(0., 0., Interpolation::Linear);
  let k1 = Key::new(1., 5., Interpolation::Linear);
  let k2 = Key::new(2., 0., Interpolation::Linear);
  let k3 = Key::new(3., 1., Interpolation::Linear);
  let k4 = Key::new(10., 2., Interpolation::Linear);
  let end = Key::new(11., 4., Interpolation::default());
  let spline = Spline::from_vec(vec![start, k1, k2, k3, k4, end]);

  assert_eq!(spline.sample(0.), Some(0.));
  assert_eq!(spline.sample(0.1), Some(0.5));
  assert_eq!(spline.sample(0.2), Some(1.));
  assert_eq!(spline.sample(0.5), Some(2.5));
  assert_eq!(spline.sample(0.9), Some(4.5));
  assert_eq!(spline.sample(1.), Some(5.));
  assert_eq!(spline.sample(1.5), Some(2.5));
  assert_eq!(spline.sample(2.), Some(0.));
  assert_eq!(spline.sample(2.75), Some(0.75));
  assert_eq!(spline.sample(3.), Some(1.));
  assert_eq!(spline.sample(6.5), Some(1.5));
  assert_eq!(spline.sample(10.), Some(2.));
  assert_eq!(spline.clamped_sample(11.), 4.);
}

#[test]
fn several_interpolations_several_keys() {
  let start = Key::new(0., 0., Interpolation::Step(0.5));
  let k1 = Key::new(1., 5., Interpolation::Linear);
  let k2 = Key::new(2., 0., Interpolation::Step(0.1));
  let k3 = Key::new(3., 1., Interpolation::Linear);
  let k4 = Key::new(10., 2., Interpolation::Linear);
  let end = Key::new(11., 4., Interpolation::default());
  let spline = Spline::from_vec(vec![start, k1, k2, k3, k4, end]);

  assert_eq!(spline.sample(0.), Some(0.));
  assert_eq!(spline.sample(0.1), Some(0.));
  assert_eq!(spline.sample(0.2), Some(0.));
  assert_eq!(spline.sample(0.5), Some(5.));
  assert_eq!(spline.sample(0.9), Some(5.));
  assert_eq!(spline.sample(1.), Some(5.));
  assert_eq!(spline.sample(1.5), Some(2.5));
  assert_eq!(spline.sample(2.), Some(0.));
  assert_eq!(spline.sample(2.05), Some(0.));
  assert_eq!(spline.sample(2.1), Some(0.));
  assert_eq!(spline.sample(2.75), Some(1.));
  assert_eq!(spline.sample(3.), Some(1.));
  assert_eq!(spline.sample(6.5), Some(1.5));
  assert_eq!(spline.sample(10.), Some(2.));
  assert_eq!(spline.clamped_sample(11.), 4.);
}

#[cfg(feature = "impl-nalgebra")]
#[test]
fn nalgebra_point_interpolation() {
  let start = na::Point2::new(0.0, 0.0);
  let mid = na::Point2::new(0.5, 0.5);
  let end = na::Point2::new(1.0, 1.0);

  assert_eq!(Interpolate::lerp(start, end, 0.0), start);
  assert_eq!(Interpolate::lerp(start, end, 1.0), end);
  assert_eq!(Interpolate::lerp(start, end, 0.5), mid);
}

#[cfg(feature = "impl-nalgebra")]
#[test]
fn nalgebra_vector_interpolation() {
  let start = na::Vector2::new(0.0, 0.0);
  let mid = na::Vector2::new(0.5, 0.5);
  let end = na::Vector2::new(1.0, 1.0);

  assert_eq!(Interpolate::lerp(start, end, 0.0), start);
  assert_eq!(Interpolate::lerp(start, end, 1.0), end);
  assert_eq!(Interpolate::lerp(start, end, 0.5), mid);
}