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
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
use crate::easing::*;

// Based on https://gist.githubusercontent.com/gre/1650294/raw/01bf897e14c41f90c8fcda739fdc793790138446/easing.js
//      and https://github.com/warrenm/AHEasing/blob/master/AHEasing/easing.c

/// Linear interpolation from point A to point B
///
/// <div class="function-preview" data-function="t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct Linear;
impl EasingFunction for Linear {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x
	}
}

/// Step function, returns the closest to either point A or B
///
/// <div class="function-preview" data-function="Math.round(t)"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct Step;
impl EasingFunction for Step {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x.round()
	}
}

/// Hold function, always returns A
///
/// <div class="function-preview" data-function="0"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct Hold;
impl EasingFunction for Hold {
	#[inline]
	fn y(&self, _x: f64) -> f64 {
		0.0
	}
}

/// Accelerating quadratically from point A to point B
///
/// <div class="function-preview" data-function="t * t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInQuad;
impl EasingFunction for EaseInQuad {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x * x
	}
}

/// Decelerating quadratically from point A to point B
///
/// <div class="function-preview" data-function="t * (2-t)"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseOutQuad;
impl EasingFunction for EaseOutQuad {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x * (2.0 - x)
	}
}

/// Accelerating then decelerating quadratically from point A to point B
///
/// <div class="function-preview" data-function="t<.5 ? 2*t*t : -1+(4-2*t)*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInOutQuad;
impl EasingFunction for EaseInOutQuad {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		if x < 0.5 {
			2.0 * x * x
		} else {
			-1.0 + (4.0 - 2.0 * x) * x
		}
	}
}

/// Accelerating cubically from point A to point B
///
/// <div class="function-preview" data-function="t * t * t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInCubic;
impl EasingFunction for EaseInCubic {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x * x * x
	}
}

/// Decelerating cubically from point A to point B
///
/// <div class="function-preview" data-function="(--t) * t * t + 1"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseOutCubic;
impl EasingFunction for EaseOutCubic {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		let x_minus_one = x - 1.0;
		1.0 + x_minus_one * x_minus_one * x_minus_one
	}
}

/// Accelerating then decelerating cubically from point A to point B
///
/// <div class="function-preview" data-function="t<.5 ? 4*t*t*t : (t-1)*(2*t-2)*(2*t-2)+1"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInOutCubic;
impl EasingFunction for EaseInOutCubic {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		if x < 0.5 {
			4.0 * x * x * x
		} else {
			let x_minus_one = x - 1.0;
			x_minus_one * (2.0 * x - 2.0) * (2.0 * x - 2.0) + 1.0
		}
	}
}

/// Accelerating quartically from point A to point B
///
/// <div class="function-preview" data-function="t*t*t*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInQuart;
impl EasingFunction for EaseInQuart {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x * x * x * x
	}
}

/// Decelerating quartically from point A to point B
///
/// <div class="function-preview" data-function="1-(--t)*t*t*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseOutQuart;
impl EasingFunction for EaseOutQuart {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		let x_minus_one = x - 1.0;
		1.0 - x_minus_one * x_minus_one * x_minus_one * x_minus_one
	}
}

/// Accelerating then decelerating quartically from point A to point B
///
/// <div class="function-preview" data-function="t<.5 ? 8*t*t*t*t : 1-8*(--t)*t*t*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInOutQuart;
impl EasingFunction for EaseInOutQuart {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		if x < 0.5 {
			8.0 * x * x * x * x
		} else {
			let x_minus_one = x - 1.0;
			1.0 - 8.0 * x_minus_one * x_minus_one * x_minus_one * x_minus_one
		}
	}
}

/// Accelerating quintically from point A to point B
///
/// <div class="function-preview" data-function="t*t*t*t*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInQuint;
impl EasingFunction for EaseInQuint {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		x * x * x * x * x
	}
}

/// Decelerating quintically from point A to point B
///
/// <div class="function-preview" data-function="1+(--t)*t*t*t*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseOutQuint;
impl EasingFunction for EaseOutQuint {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		let x_minus_one = x - 1.0;
		1.0 + x_minus_one * x_minus_one * x_minus_one * x_minus_one * x_minus_one
	}
}

/// Accelerating then decelerating quintically from point A to point B
///
/// <div class="function-preview" data-function="t<.5 ? 16*t*t*t*t*t : 1+16*(--t)*t*t*t*t"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInOutQuint;
impl EasingFunction for EaseInOutQuint {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		if x < 0.5 {
			16.0 * x * x * x * x * x
		} else {
			let x_minus_one = x - 1.0;
			1.0 + 16.0 * x_minus_one * x_minus_one * x_minus_one * x_minus_one * x_minus_one
		}
	}
}

/// Accelerating on 1/4 of a sine wave from point A to point B
///
/// <div class="function-preview" data-function="Math.sin((t - 1) * Math.PI / 2) + 1"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseIn;
impl EasingFunction for EaseIn {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		((x - 1.0) * core::f64::consts::FRAC_PI_2).sin() + 1.0
	}
}

/// Decelerating on 1/4 of a sine wave from point A to point B
///
/// <div class="function-preview" data-function="Math.sin(t * Math.PI / 2)"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseOut;
impl EasingFunction for EaseOut {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		(x * core::f64::consts::FRAC_PI_2).sin()
	}
}

/// Accelerating then decelerating on 1/2 of a sine wave from point A to point B
///
/// <div class="function-preview" data-function=".5 * (1 - Math.cos(t * Math.PI))"></div>
#[derive(Copy, Clone, Debug, Default)]
pub struct EaseInOut;
impl EasingFunction for EaseInOut {
	#[inline]
	fn y(&self, x: f64) -> f64 {
		0.5 * (1.0 - (x * core::f64::consts::PI).cos())
	}
}