-
Notifications
You must be signed in to change notification settings - Fork 4
Expand file tree
/
Copy pathEPPZEasing.cs
More file actions
406 lines (343 loc) · 13.8 KB
/
EPPZEasing.cs
File metadata and controls
406 lines (343 loc) · 13.8 KB
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
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
using UnityEngine;
using System.Collections;
public static class EPPZEasing_Float_Extensions
{
public static float ValueWithEasingType(this float this_, EPPZEasing.EasingType easingType)
{ return EPPZEasing.EasingForType(easingType).ValueForInput(this_); }
public static float ValueWithEasing(this float this_, EPPZEasing easing)
{ return easing.ValueForInput(this_); }
}
public class EPPZEasing
{
public enum EasingType
{
Linear,
// Exponential
Ease_In,
Ease_In_2,
Ease_In_3,
Ease_Out,
Ease_Out_2,
Ease_Out_3,
Ease_In_Out,
Ease_In_Out_2,
Ease_In_Out_3,
// Circular
Ease_In_Circular,
Ease_Out_Circular,
Ease_In_Out_Circular,
// Bounce
Ease_In_Bounce,
Ease_In_Bounce_2,
Ease_In_Bounce_3,
Ease_Out_Bounce,
Ease_Out_Bounce_2,
Ease_Out_Bounce_3,
Ease_In_Out_Bounce,
Ease_In_Out_Bounce_2,
Ease_In_Out_Bounce_3
}
private static EPPZEasing[] _easingPool = new EPPZEasing[]
{
new EPPZEasing_Linear(),
new EPPZEasing_Ease_In(),
new EPPZEasing_Ease_In_2(),
new EPPZEasing_Ease_In_3(),
new EPPZEasing_Ease_Out(),
new EPPZEasing_Ease_Out_2(),
new EPPZEasing_Ease_Out_3(),
new EPPZEasing_Ease_In_Out(),
new EPPZEasing_Ease_In_Out_2(),
new EPPZEasing_Ease_In_Out_3(),
new EPPZEasing_Ease_In_Circular(),
new EPPZEasing_Ease_Out_Circular(),
new EPPZEasing_Ease_In_Out_Circular(),
new EPPZEasing_Ease_In_Bounce(),
new EPPZEasing_Ease_In_Bounce_2(),
new EPPZEasing_Ease_In_Bounce_3(),
new EPPZEasing_Ease_Out_Bounce(),
new EPPZEasing_Ease_Out_Bounce_2(),
new EPPZEasing_Ease_Out_Bounce_3(),
new EPPZEasing_Ease_In_Out_Bounce(),
new EPPZEasing_Ease_In_Out_Bounce_2(),
new EPPZEasing_Ease_In_Out_Bounce_3()
};
public static EPPZEasing EasingForType(EasingType type)
{ return _easingPool[(int)type]; }
public virtual EasingType type { get { return 0; } }
public virtual string name { get { return null; } }
public virtual string description { get { return null; } }
public virtual string algorithm { get { return null; } }
public virtual string simplifiedAlgorithm { get { return algorithm; } }
public virtual float ValueForInput(float x) { return x; }
}
public class EPPZEasing_Linear : EPPZEasing
{
public override EasingType type { get { return EasingType.Linear; } }
public override string name { get { return "Linear"; } }
public override string description { get { return "No easing"; } }
public override string algorithm { get { return "y = x"; } } // http://fooplot.com/plot/dnmxpux77q
public override float ValueForInput(float x)
{
return x;
}
}
public class EPPZEasing_Ease_In : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In; } }
public override string name { get { return "Ease_In"; } }
public override string description { get { return "Quadratic"; } }
public override string algorithm { get { return "y = x^2"; } }
public override float ValueForInput(float x)
{
return Mathf.Pow(x, 2);
}
}
public class EPPZEasing_Ease_In_2 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_2; } }
public override string name { get { return "Ease_In_2"; } }
public override string description { get { return "Cubic"; } }
public override string algorithm { get { return "y = x^3"; } }
public override float ValueForInput(float x)
{
return Mathf.Pow(x, 3);
}
}
public class EPPZEasing_Ease_In_3 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_3; } }
public override string name { get { return "Ease_In_3"; } }
public override string description { get { return "Octic"; } }
public override string algorithm { get { return "y = x^8"; } }
public override float ValueForInput(float x)
{
return Mathf.Pow(x, 8);
}
}
public class EPPZEasing_Ease_Out : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out; } }
public override string name { get { return "Ease_Out"; } }
public override string description { get { return "Inverse quadratic"; } }
public override string algorithm { get { return "y = 1-(1-x)^2"; } }
public override float ValueForInput(float x)
{
return 1 - Mathf.Pow(1 - x, 2);
}
}
public class EPPZEasing_Ease_Out_2 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out_2; } }
public override string name { get { return "Ease_Out_2"; } }
public override string description { get { return "Inverse cubic"; } }
public override string algorithm { get { return "y = 1-(1-x)^3"; } }
public override float ValueForInput(float x)
{
return 2 * x - Mathf.Pow(x, 2);
}
}
public class EPPZEasing_Ease_Out_3 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out_3; } }
public override string name { get { return "Ease_Out_3"; } }
public override string description { get { return "Inverse octic"; } }
public override string algorithm { get { return "y = 1-(1-x)^8"; } }
public override float ValueForInput(float x)
{
return 1 - Mathf.Pow(1 - x, 8);
}
}
public class EPPZEasing_Ease_In_Out : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out; } }
public override string name { get { return "Ease_In_Out"; } }
public override string description { get { return "Shrink, offset, simplify In / Out"; } }
public override string algorithm { get { return "y = (x<0.5) ? (2x)^2/2 : 0.5+(1-(2(1-x))^2)/2"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 2x^2 : -2x^2+4x-1"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 2 * Mathf.Pow(x, 2)
: -2 * Mathf.Pow(x, 2) + 4 * x - 1;
}
}
public class EPPZEasing_Ease_In_Out_2 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out_2; } }
public override string name { get { return "Ease_In_Out_2"; } }
public override string description { get { return "Shrink, offset, simplify In / Out"; } }
public override string algorithm { get { return "y = (x<0.5) ? (2x)^3/2 : 0.5+(1-(2(1-x))^3)/2"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 4x^3 : 4x^3-12x^2+12x-3"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 4 * Mathf.Pow(x, 3)
: 4 * Mathf.Pow(x, 3) - 12 * Mathf.Pow(x, 2) + 12 * x - 3;
}
}
public class EPPZEasing_Ease_In_Out_3 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out_3; } }
public override string name { get { return "Ease_In_Out_3"; } }
public override string description { get { return "Shrink, offset, simplify In / Out"; } }
public override string algorithm { get { return "y = (x<0.5) ? (2x)^8/2 : 0.5+(1-(2(1-x))^8)/2"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 128x^8 : 0.5+(1-(2(1-x))^8)/2"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 128 * Mathf.Pow(x, 8)
: 0.5f + (1 - Mathf.Pow((1 - x) * 2, 8)) / 2;
}
}
public class EPPZEasing_Ease_In_Circular : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Circular; } }
public override string name { get { return "Ease_In_Circular"; } }
public override string description { get { return "Inverse square root, inverse power"; } }
public override string algorithm { get { return "y = 1-sqrt(1-x^2)"; } }
public override float ValueForInput(float x)
{
return 1 - Mathf.Sqrt(1 - Mathf.Pow(x, 2));
}
}
public class EPPZEasing_Ease_Out_Circular : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out_Circular; } }
public override string name { get { return "Ease_Out_Circular"; } }
public override string description { get { return "Square root, power, inverse"; } }
public override string algorithm { get { return "y = sqrt(1-(1-x)^2)"; } }
public override string simplifiedAlgorithm { get { return "y = sqrt(-(x-2)x)"; } }
public override float ValueForInput(float x)
{
return Mathf.Sqrt(-(x - 2) * x);
}
}
public class EPPZEasing_Ease_In_Out_Circular : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out_Circular; } }
public override string name { get { return "Ease_In_Out_Circular"; } }
public override string description { get { return "Shrink, offset, simplify In / Out"; } }
public override string algorithm { get { return "y = (x<0.5) ? (1-sqrt(1-(2x)^2))/2 : 0.5+sqrt(1-((2(1-x))^2))/2"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 0.5(1-sqrt(1-4x^2)) : 0.5(sqrt(-4(x-2)x-3)+1)"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 0.5f * (1 - Mathf.Sqrt(1 - 4 * Mathf.Pow(x, 2)))
: 0.5f * (Mathf.Sqrt(-4 * (x - 2) * x - 3) + 1);
}
}
public class EPPZEasing_Ease_In_Bounce : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Bounce; } }
public override string name { get { return "Ease_In_Bounce"; } }
public override string description { get { return "Offset power composition"; } }
public override string algorithm { get { return "y = 2x^3-x^2"; } }
public override string simplifiedAlgorithm { get { return "y = x^2(2x-1)"; } }
public override float ValueForInput(float x)
{
return Mathf.Pow(x, 2) * (2 * x - 1);
}
}
public class EPPZEasing_Ease_In_Bounce_2 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Bounce_2; } }
public override string name { get { return "Ease_In_Bounce_2"; } }
public override string description { get { return "Offset power composition"; } }
public override string algorithm { get { return "y = 3x^3-2x^2"; } }
public override string simplifiedAlgorithm { get { return "y = x^2(3x-2)"; } }
public override float ValueForInput(float x)
{
return Mathf.Pow(x, 2) * (3 * x - 2);
}
}
public class EPPZEasing_Ease_In_Bounce_3 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Bounce_3; } }
public override string name { get { return "Ease_In_Bounce_3"; } }
public override string description { get { return "Offset power composition"; } }
public override string algorithm { get { return "y = 4x^3-3x^2"; } }
public override string simplifiedAlgorithm { get { return "y = x^2(4x-3)"; } }
public override float ValueForInput(float x)
{
return Mathf.Pow(x, 2) * (4 * x - 3);
}
}
public class EPPZEasing_Ease_Out_Bounce : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out_Bounce; } }
public override string name { get { return "Ease_Out_Bounce"; } }
public override string description { get { return "Inverse offset power composition"; } }
public override string algorithm { get { return "y = 1-(2(1-x)^3-(1-x)^2)"; } }
public override string simplifiedAlgorithm { get { return "y = x(x(2x-5)+4)"; } }
public override float ValueForInput(float x)
{
return x * ( x * (2 * x - 5 ) + 4);
}
}
public class EPPZEasing_Ease_Out_Bounce_2 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out_Bounce_2; } }
public override string name { get { return "Ease_Out_Bounce_2"; } }
public override string description { get { return "Inverse offfset power composition"; } }
public override string algorithm { get { return "y = 1-(3(1-x)^3-2(1-x)^2)"; } }
public override string simplifiedAlgorithm { get { return "y = x(x(3x-7)+5)"; } }
public override float ValueForInput(float x)
{
return x * ( x * (3 * x - 7 ) + 5);
}
}
public class EPPZEasing_Ease_Out_Bounce_3 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_Out_Bounce_3; } }
public override string name { get { return "Ease_Out_Bounce_3"; } }
public override string description { get { return "Inverse offset power composition"; } }
public override string algorithm { get { return "y = 1-(4(1-x)^3-3(1-x)^2)"; } }
public override string simplifiedAlgorithm { get { return "y = x(x(4x-9)+6)"; } }
public override float ValueForInput(float x)
{
return x * ( x * (4 * x - 9 ) + 6);
}
}
public class EPPZEasing_Ease_In_Out_Bounce : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out_Bounce; } }
public override string name { get { return "Ease_In_Out_Bounce"; } }
public override string description { get { return "Shrink, offset, simplify In / Out"; } }
public override string algorithm { get { return "y = (x<0.5) ? (2(2x)^3-(2x)^2)*0.5 : 1-(2(2(1-x))^3-(2(1-x))^2)*0.5"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 8x^3-2x^2 : 8x^3-22x^2+20x-5"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 8 * Mathf.Pow(x, 3) - 2 * Mathf.Pow(x, 2)
: 8 * Mathf.Pow(x, 3) - 22 * Mathf.Pow(x, 2) + 20 * x - 5;
}
}
public class EPPZEasing_Ease_In_Out_Bounce_2 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out_Bounce_2; } }
public override string name { get { return "Ease_In_Out_Bounce_2"; } }
public override string description { get { return "Shrink, offset, simplify In / Out"; } }
public override string algorithm { get { return "y = (x<0.5) ? (3(2x)^3- (2x)^2)*0.5 : 1-(3(2(1-x))^3-2(2(1-x))^2)*0.5"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 12x^3-4x^2 : 12x^3-32x^2+28x-7"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 12 * Mathf.Pow(x, 3) - 4 * Mathf.Pow(x, 2)
: 12 * Mathf.Pow(x, 3) - 32 * Mathf.Pow(x, 2) + 28 * x - 7;
}
}
public class EPPZEasing_Ease_In_Out_Bounce_3 : EPPZEasing
{
public override EasingType type { get { return EasingType.Ease_In_Out_Bounce_3; } }
public override string name { get { return "Ease_In_Out_Bounce_3"; } }
public override string description { get { return "Shrink, offset In / Out"; } }
public override string algorithm { get { return "y = ((x<0.5) ? (4(2x)^3-3(2x)^2)*0.5 : 1-(4(2(1-x))^3-3(2(1-x))^2)*0.5"; } }
public override string simplifiedAlgorithm { get { return "y = (x<0.5) ? 16x^3-6x^2 : 16x^3-42x^2+36x-9"; } }
public override float ValueForInput(float x)
{
return (x < 0.5f)
? 16 * Mathf.Pow(x, 3) - 6 * Mathf.Pow(x, 2)
: 16 * Mathf.Pow(x, 3) - 42 * Mathf.Pow(x, 2) + 36 * x - 9;
}
}