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easing.inl
1
2
3#include <cmath>
4
5namespace glm{
6
7 template <typename genType>
8 GLM_FUNC_QUALIFIER genType linearInterpolation(genType const& a)
9 {
10 // Only defined in [0, 1]
11 assert(a >= zero<genType>());
12 assert(a <= one<genType>());
13
14 return a;
15 }
16
17 template <typename genType>
18 GLM_FUNC_QUALIFIER genType quadraticEaseIn(genType const& a)
19 {
20 // Only defined in [0, 1]
21 assert(a >= zero<genType>());
22 assert(a <= one<genType>());
23
24 return a * a;
25 }
26
27 template <typename genType>
28 GLM_FUNC_QUALIFIER genType quadraticEaseOut(genType const& a)
29 {
30 // Only defined in [0, 1]
31 assert(a >= zero<genType>());
32 assert(a <= one<genType>());
33
34 return -(a * (a - static_cast<genType>(2)));
35 }
36
37 template <typename genType>
38 GLM_FUNC_QUALIFIER genType quadraticEaseInOut(genType const& a)
39 {
40 // Only defined in [0, 1]
41 assert(a >= zero<genType>());
42 assert(a <= one<genType>());
43
44 if(a < static_cast<genType>(0.5))
45 {
46 return static_cast<genType>(2) * a * a;
47 }
48 else
49 {
50 return (-static_cast<genType>(2) * a * a) + (4 * a) - one<genType>();
51 }
52 }
53
54 template <typename genType>
55 GLM_FUNC_QUALIFIER genType cubicEaseIn(genType const& a)
56 {
57 // Only defined in [0, 1]
58 assert(a >= zero<genType>());
59 assert(a <= one<genType>());
60
61 return a * a * a;
62 }
63
64 template <typename genType>
65 GLM_FUNC_QUALIFIER genType cubicEaseOut(genType const& a)
66 {
67 // Only defined in [0, 1]
68 assert(a >= zero<genType>());
69 assert(a <= one<genType>());
70
71 genType const f = a - one<genType>();
72 return f * f * f + one<genType>();
73 }
74
75 template <typename genType>
76 GLM_FUNC_QUALIFIER genType cubicEaseInOut(genType const& a)
77 {
78 // Only defined in [0, 1]
79 assert(a >= zero<genType>());
80 assert(a <= one<genType>());
81
82 if (a < static_cast<genType>(0.5))
83 {
84 return static_cast<genType>(4) * a * a * a;
85 }
86 else
87 {
88 genType const f = ((static_cast<genType>(2) * a) - static_cast<genType>(2));
89 return static_cast<genType>(0.5) * f * f * f + one<genType>();
90 }
91 }
92
93 template <typename genType>
94 GLM_FUNC_QUALIFIER genType quarticEaseIn(genType const& a)
95 {
96 // Only defined in [0, 1]
97 assert(a >= zero<genType>());
98 assert(a <= one<genType>());
99
100 return a * a * a * a;
101 }
102
103 template <typename genType>
104 GLM_FUNC_QUALIFIER genType quarticEaseOut(genType const& a)
105 {
106 // Only defined in [0, 1]
107 assert(a >= zero<genType>());
108 assert(a <= one<genType>());
109
110 genType const f = (a - one<genType>());
111 return f * f * f * (one<genType>() - a) + one<genType>();
112 }
113
114 template <typename genType>
115 GLM_FUNC_QUALIFIER genType quarticEaseInOut(genType const& a)
116 {
117 // Only defined in [0, 1]
118 assert(a >= zero<genType>());
119 assert(a <= one<genType>());
120
121 if(a < static_cast<genType>(0.5))
122 {
123 return static_cast<genType>(8) * a * a * a * a;
124 }
125 else
126 {
127 genType const f = (a - one<genType>());
128 return -static_cast<genType>(8) * f * f * f * f + one<genType>();
129 }
130 }
131
132 template <typename genType>
133 GLM_FUNC_QUALIFIER genType quinticEaseIn(genType const& a)
134 {
135 // Only defined in [0, 1]
136 assert(a >= zero<genType>());
137 assert(a <= one<genType>());
138
139 return a * a * a * a * a;
140 }
141
142 template <typename genType>
143 GLM_FUNC_QUALIFIER genType quinticEaseOut(genType const& a)
144 {
145 // Only defined in [0, 1]
146 assert(a >= zero<genType>());
147 assert(a <= one<genType>());
148
149 genType const f = (a - one<genType>());
150 return f * f * f * f * f + one<genType>();
151 }
152
153 template <typename genType>
154 GLM_FUNC_QUALIFIER genType quinticEaseInOut(genType const& a)
155 {
156 // Only defined in [0, 1]
157 assert(a >= zero<genType>());
158 assert(a <= one<genType>());
159
160 if(a < static_cast<genType>(0.5))
161 {
162 return static_cast<genType>(16) * a * a * a * a * a;
163 }
164 else
165 {
166 genType const f = ((static_cast<genType>(2) * a) - static_cast<genType>(2));
167 return static_cast<genType>(0.5) * f * f * f * f * f + one<genType>();
168 }
169 }
170
171 template <typename genType>
172 GLM_FUNC_QUALIFIER genType sineEaseIn(genType const& a)
173 {
174 // Only defined in [0, 1]
175 assert(a >= zero<genType>());
176 assert(a <= one<genType>());
177
178 return sin((a - one<genType>()) * half_pi<genType>()) + one<genType>();
179 }
180
181 template <typename genType>
182 GLM_FUNC_QUALIFIER genType sineEaseOut(genType const& a)
183 {
184 // Only defined in [0, 1]
185 assert(a >= zero<genType>());
186 assert(a <= one<genType>());
187
188 return sin(a * half_pi<genType>());
189 }
190
191 template <typename genType>
192 GLM_FUNC_QUALIFIER genType sineEaseInOut(genType const& a)
193 {
194 // Only defined in [0, 1]
195 assert(a >= zero<genType>());
196 assert(a <= one<genType>());
197
198 return static_cast<genType>(0.5) * (one<genType>() - cos(a * pi<genType>()));
199 }
200
201 template <typename genType>
202 GLM_FUNC_QUALIFIER genType circularEaseIn(genType const& a)
203 {
204 // Only defined in [0, 1]
205 assert(a >= zero<genType>());
206 assert(a <= one<genType>());
207
208 return one<genType>() - sqrt(one<genType>() - (a * a));
209 }
210
211 template <typename genType>
212 GLM_FUNC_QUALIFIER genType circularEaseOut(genType const& a)
213 {
214 // Only defined in [0, 1]
215 assert(a >= zero<genType>());
216 assert(a <= one<genType>());
217
218 return sqrt((static_cast<genType>(2) - a) * a);
219 }
220
221 template <typename genType>
222 GLM_FUNC_QUALIFIER genType circularEaseInOut(genType const& a)
223 {
224 // Only defined in [0, 1]
225 assert(a >= zero<genType>());
226 assert(a <= one<genType>());
227
228 if(a < static_cast<genType>(0.5))
229 {
230 return static_cast<genType>(0.5) * (one<genType>() - std::sqrt(one<genType>() - static_cast<genType>(4) * (a * a)));
231 }
232 else
233 {
234 return static_cast<genType>(0.5) * (std::sqrt(-((static_cast<genType>(2) * a) - static_cast<genType>(3)) * ((static_cast<genType>(2) * a) - one<genType>())) + one<genType>());
235 }
236 }
237
238 template <typename genType>
239 GLM_FUNC_QUALIFIER genType exponentialEaseIn(genType const& a)
240 {
241 // Only defined in [0, 1]
242 assert(a >= zero<genType>());
243 assert(a <= one<genType>());
244
245 if(a <= zero<genType>())
246 return a;
247 else
248 {
249 genType const Complementary = a - one<genType>();
250 genType const Two = static_cast<genType>(2);
251
252 return glm::pow(Two, Complementary * static_cast<genType>(10));
253 }
254 }
255
256 template <typename genType>
257 GLM_FUNC_QUALIFIER genType exponentialEaseOut(genType const& a)
258 {
259 // Only defined in [0, 1]
260 assert(a >= zero<genType>());
261 assert(a <= one<genType>());
262
263 if(a >= one<genType>())
264 return a;
265 else
266 {
267 return one<genType>() - glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * a);
268 }
269 }
270
271 template <typename genType>
272 GLM_FUNC_QUALIFIER genType exponentialEaseInOut(genType const& a)
273 {
274 // Only defined in [0, 1]
275 assert(a >= zero<genType>());
276 assert(a <= one<genType>());
277
278 if(a < static_cast<genType>(0.5))
279 return static_cast<genType>(0.5) * glm::pow(static_cast<genType>(2), (static_cast<genType>(20) * a) - static_cast<genType>(10));
280 else
281 return -static_cast<genType>(0.5) * glm::pow(static_cast<genType>(2), (-static_cast<genType>(20) * a) + static_cast<genType>(10)) + one<genType>();
282 }
283
284 template <typename genType>
285 GLM_FUNC_QUALIFIER genType elasticEaseIn(genType const& a)
286 {
287 // Only defined in [0, 1]
288 assert(a >= zero<genType>());
289 assert(a <= one<genType>());
290
291 return std::sin(static_cast<genType>(13) * half_pi<genType>() * a) * glm::pow(static_cast<genType>(2), static_cast<genType>(10) * (a - one<genType>()));
292 }
293
294 template <typename genType>
295 GLM_FUNC_QUALIFIER genType elasticEaseOut(genType const& a)
296 {
297 // Only defined in [0, 1]
298 assert(a >= zero<genType>());
299 assert(a <= one<genType>());
300
301 return std::sin(-static_cast<genType>(13) * half_pi<genType>() * (a + one<genType>())) * glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * a) + one<genType>();
302 }
303
304 template <typename genType>
305 GLM_FUNC_QUALIFIER genType elasticEaseInOut(genType const& a)
306 {
307 // Only defined in [0, 1]
308 assert(a >= zero<genType>());
309 assert(a <= one<genType>());
310
311 if(a < static_cast<genType>(0.5))
312 return static_cast<genType>(0.5) * std::sin(static_cast<genType>(13) * half_pi<genType>() * (static_cast<genType>(2) * a)) * glm::pow(static_cast<genType>(2), static_cast<genType>(10) * ((static_cast<genType>(2) * a) - one<genType>()));
313 else
314 return static_cast<genType>(0.5) * (std::sin(-static_cast<genType>(13) * half_pi<genType>() * ((static_cast<genType>(2) * a - one<genType>()) + one<genType>())) * glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * (static_cast<genType>(2) * a - one<genType>())) + static_cast<genType>(2));
315 }
316
317 template <typename genType>
318 GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a, genType const& o)
319 {
320 // Only defined in [0, 1]
321 assert(a >= zero<genType>());
322 assert(a <= one<genType>());
323
324 genType z = ((o + one<genType>()) * a) - o;
325 return (a * a * z);
326 }
327
328 template <typename genType>
329 GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a, genType const& o)
330 {
331 // Only defined in [0, 1]
332 assert(a >= zero<genType>());
333 assert(a <= one<genType>());
334
335 genType n = a - one<genType>();
336 genType z = ((o + one<genType>()) * n) + o;
337 return (n * n * z) + one<genType>();
338 }
339
340 template <typename genType>
341 GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a, genType const& o)
342 {
343 // Only defined in [0, 1]
344 assert(a >= zero<genType>());
345 assert(a <= one<genType>());
346
347 genType s = o * static_cast<genType>(1.525);
348 genType x = static_cast<genType>(0.5);
349 genType n = a / static_cast<genType>(0.5);
350
351 if (n < static_cast<genType>(1))
352 {
353 genType z = ((s + static_cast<genType>(1)) * n) - s;
354 genType m = n * n * z;
355 return x * m;
356 }
357 else
358 {
359 n -= static_cast<genType>(2);
360 genType z = ((s + static_cast<genType>(1)) * n) + s;
361 genType m = (n*n*z) + static_cast<genType>(2);
362 return x * m;
363 }
364 }
365
366 template <typename genType>
367 GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a)
368 {
369 return backEaseIn(a, static_cast<genType>(1.70158));
370 }
371
372 template <typename genType>
373 GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a)
374 {
375 return backEaseOut(a, static_cast<genType>(1.70158));
376 }
377
378 template <typename genType>
379 GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a)
380 {
381 return backEaseInOut(a, static_cast<genType>(1.70158));
382 }
383
384 template <typename genType>
385 GLM_FUNC_QUALIFIER genType bounceEaseOut(genType const& a)
386 {
387 // Only defined in [0, 1]
388 assert(a >= zero<genType>());
389 assert(a <= one<genType>());
390
391 if(a < static_cast<genType>(4.0 / 11.0))
392 {
393 return (static_cast<genType>(121) * a * a) / static_cast<genType>(16);
394 }
395 else if(a < static_cast<genType>(8.0 / 11.0))
396 {
397 return (static_cast<genType>(363.0 / 40.0) * a * a) - (static_cast<genType>(99.0 / 10.0) * a) + static_cast<genType>(17.0 / 5.0);
398 }
399 else if(a < static_cast<genType>(9.0 / 10.0))
400 {
401 return (static_cast<genType>(4356.0 / 361.0) * a * a) - (static_cast<genType>(35442.0 / 1805.0) * a) + static_cast<genType>(16061.0 / 1805.0);
402 }
403 else
404 {
405 return (static_cast<genType>(54.0 / 5.0) * a * a) - (static_cast<genType>(513.0 / 25.0) * a) + static_cast<genType>(268.0 / 25.0);
406 }
407 }
408
409 template <typename genType>
410 GLM_FUNC_QUALIFIER genType bounceEaseIn(genType const& a)
411 {
412 // Only defined in [0, 1]
413 assert(a >= zero<genType>());
414 assert(a <= one<genType>());
415
416 return one<genType>() - bounceEaseOut(one<genType>() - a);
417 }
418
419 template <typename genType>
420 GLM_FUNC_QUALIFIER genType bounceEaseInOut(genType const& a)
421 {
422 // Only defined in [0, 1]
423 assert(a >= zero<genType>());
424 assert(a <= one<genType>());
425
426 if(a < static_cast<genType>(0.5))
427 {
428 return static_cast<genType>(0.5) * (one<genType>() - bounceEaseOut(a * static_cast<genType>(2)));
429 }
430 else
431 {
432 return static_cast<genType>(0.5) * bounceEaseOut(a * static_cast<genType>(2) - one<genType>()) + static_cast<genType>(0.5);
433 }
434 }
435
436}//namespace glm
glm::sqrt
GLM_FUNC_QUALIFIER vec< L, T, Q > sqrt(vec< L, T, Q > const &x)
Definition func_exponential.inl:128
glm::pow
GLM_FUNC_QUALIFIER vec< L, T, Q > pow(vec< L, T, Q > const &base, vec< L, T, Q > const &exponent)
Definition func_exponential.inl:72
glm::sin
GLM_FUNC_QUALIFIER vec< L, T, Q > sin(vec< L, T, Q > const &v)
Definition func_trigonometric.inl:41
glm::cos
GLM_FUNC_QUALIFIER vec< L, T, Q > cos(vec< L, T, Q > const &v)
Definition func_trigonometric.inl:50
glm::pi
GLM_FUNC_DECL GLM_CONSTEXPR genType pi()
Return the pi constant for floating point types.
Definition scalar_constants.inl:13
glm::half_pi
GLM_FUNC_DECL GLM_CONSTEXPR genType half_pi()
Definition constants.inl:30
glm::one
GLM_FUNC_DECL GLM_CONSTEXPR genType one()
Definition constants.inl:12
glm::zero
GLM_FUNC_DECL GLM_CONSTEXPR genType zero()
Definition constants.inl:6
glm::quadraticEaseInOut
GLM_FUNC_DECL genType quadraticEaseInOut(genType const &a)
Definition easing.inl:38
glm::quinticEaseIn
GLM_FUNC_DECL genType quinticEaseIn(genType const &a)
Definition easing.inl:133
glm::circularEaseInOut
GLM_FUNC_DECL genType circularEaseInOut(genType const &a)
Definition easing.inl:222
glm::elasticEaseIn
GLM_FUNC_DECL genType elasticEaseIn(genType const &a)
Definition easing.inl:285
glm::exponentialEaseInOut
GLM_FUNC_DECL genType exponentialEaseInOut(genType const &a)
Definition easing.inl:272
glm::circularEaseOut
GLM_FUNC_DECL genType circularEaseOut(genType const &a)
Definition easing.inl:212
glm::quadraticEaseOut
GLM_FUNC_DECL genType quadraticEaseOut(genType const &a)
Definition easing.inl:28
glm::linearInterpolation
GLM_FUNC_DECL genType linearInterpolation(genType const &a)
Definition easing.inl:8
glm::quinticEaseInOut
GLM_FUNC_DECL genType quinticEaseInOut(genType const &a)
Definition easing.inl:154
glm::elasticEaseInOut
GLM_FUNC_DECL genType elasticEaseInOut(genType const &a)
Definition easing.inl:305
glm::circularEaseIn
GLM_FUNC_DECL genType circularEaseIn(genType const &a)
Definition easing.inl:202
glm::cubicEaseOut
GLM_FUNC_DECL genType cubicEaseOut(genType const &a)
Definition easing.inl:65
glm::quarticEaseOut
GLM_FUNC_DECL genType quarticEaseOut(genType const &a)
Definition easing.inl:104
glm::exponentialEaseOut
GLM_FUNC_DECL genType exponentialEaseOut(genType const &a)
Definition easing.inl:257
glm::cubicEaseInOut
GLM_FUNC_DECL genType cubicEaseInOut(genType const &a)
Definition easing.inl:76
glm::quarticEaseInOut
GLM_FUNC_DECL genType quarticEaseInOut(genType const &a)
Definition easing.inl:115
glm::quinticEaseOut
GLM_FUNC_DECL genType quinticEaseOut(genType const &a)
Definition easing.inl:143
glm::exponentialEaseIn
GLM_FUNC_DECL genType exponentialEaseIn(genType const &a)
Definition easing.inl:239
glm::quarticEaseIn
GLM_FUNC_DECL genType quarticEaseIn(genType const &a)
Definition easing.inl:94
glm::backEaseIn
GLM_FUNC_DECL genType backEaseIn(genType const &a)
Definition easing.inl:367
glm::bounceEaseOut
GLM_FUNC_DECL genType bounceEaseOut(genType const &a)
Definition easing.inl:385
glm::sineEaseInOut
GLM_FUNC_DECL genType sineEaseInOut(genType const &a)
Definition easing.inl:192
glm::bounceEaseIn
GLM_FUNC_DECL genType bounceEaseIn(genType const &a)
Definition easing.inl:410
glm::sineEaseOut
GLM_FUNC_DECL genType sineEaseOut(genType const &a)
Definition easing.inl:182
glm::backEaseOut
GLM_FUNC_DECL genType backEaseOut(genType const &a)
Definition easing.inl:373
glm::backEaseInOut
GLM_FUNC_DECL genType backEaseInOut(genType const &a)
Definition easing.inl:379
glm::elasticEaseOut
GLM_FUNC_DECL genType elasticEaseOut(genType const &a)
Definition easing.inl:295
glm::bounceEaseInOut
GLM_FUNC_DECL genType bounceEaseInOut(genType const &a)
Definition easing.inl:420
glm::quadraticEaseIn
GLM_FUNC_DECL genType quadraticEaseIn(genType const &a)
Definition easing.inl:18
glm::sineEaseIn
GLM_FUNC_DECL genType sineEaseIn(genType const &a)
Definition easing.inl:172
glm::cubicEaseIn
GLM_FUNC_DECL genType cubicEaseIn(genType const &a)
Modelled after the cubic y = x^3.
Definition easing.inl:55
glm
Core features
Definition common.hpp:21
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