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1 /*
2  * Copyright (c) 2022 Huawei Device Co., Ltd.
3  * Licensed under the Apache License, Version 2.0 (the "License");
4  * you may not use this file except in compliance with the License.
5  * You may obtain a copy of the License at
6  *
7  *     http://www.apache.org/licenses/LICENSE-2.0
8  *
9  * Unless required by applicable law or agreed to in writing, software
10  * distributed under the License is distributed on an "AS IS" BASIS,
11  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12  * See the License for the specific language governing permissions and
13  * limitations under the License.
14  */
15 
16 #include "animation/rs_spring_model.h"
17 
18 #include <algorithm>
19 #include <cmath>
20 
21 #include "common/rs_vector2.h"
22 #include "common/rs_vector4.h"
23 #include "modifier/rs_render_property.h"
24 #include "platform/common/rs_log.h"
25 
26 namespace OHOS {
27 namespace Rosen {
28 namespace {
29 constexpr float SPRING_MIN_DAMPING_RATIO = 1e-4f;
30 constexpr float SPRING_MAX_DAMPING_RATIO = 1e4f;
31 constexpr float SPRING_MIN_DURATION = 0.001f;
32 constexpr float SPRING_MAX_DURATION = 300.0f;
33 constexpr float SPRING_MIN_RESPONSE = 1e-8;
34 constexpr float SPRING_MIN_AMPLITUDE_RATIO = 0.001f;
35 // helper function to simplify estimation of spring duration
36 template<typename RSAnimatableType>
toFloat(RSAnimatableType value)37 float toFloat(RSAnimatableType value)
38 {
39     return 1.f;
40 }
41 template<>
toFloat(float value)42 float toFloat(float value)
43 {
44     return std::fabs(value);
45 }
46 template<>
toFloat(Vector4f value)47 float toFloat(Vector4f value)
48 {
49     return value.GetLength();
50 }
51 template<>
toFloat(Quaternion value)52 float toFloat(Quaternion value)
53 {
54     return value.GetLength();
55 }
56 template<>
toFloat(Vector2f value)57 float toFloat(Vector2f value)
58 {
59     return value.GetLength();
60 }
61 } // namespace
62 
63 template<typename RSAnimatableType>
RSSpringModel(float response,float dampingRatio,const RSAnimatableType & initialOffset,const RSAnimatableType & initialVelocity,float minimumAmplitude)64 RSSpringModel<RSAnimatableType>::RSSpringModel(float response, float dampingRatio,
65     const RSAnimatableType& initialOffset, const RSAnimatableType& initialVelocity, float minimumAmplitude)
66     : response_(response), dampingRatio_(dampingRatio), initialOffset_(initialOffset),
67       initialVelocity_(initialVelocity), minimumAmplitudeRatio_(minimumAmplitude)
68 {
69     CalculateSpringParameters();
70 }
71 
72 template<typename RSAnimatableType>
CalculateSpringParameters()73 void RSSpringModel<RSAnimatableType>::CalculateSpringParameters()
74 {
75     // sanity check
76     dampingRatio_ = std::clamp(dampingRatio_, SPRING_MIN_DAMPING_RATIO, SPRING_MAX_DAMPING_RATIO);
77     if (response_ <= 0) {
78         response_ = SPRING_MIN_RESPONSE;
79     }
80     if (minimumAmplitudeRatio_ <= 0) {
81         minimumAmplitudeRatio_ = SPRING_MIN_AMPLITUDE_RATIO;
82     }
83 
84     // calculate internal parameters
85     double naturalAngularVelocity = 2 * M_PI / response_;
86     if (dampingRatio_ < 1) { // Under-damped Systems
87         dampedAngularVelocity_ = naturalAngularVelocity * sqrt(1.0f - dampingRatio_ * dampingRatio_);
88         coeffDecay_ = -dampingRatio_ * naturalAngularVelocity;
89         coeffScale_ =
90             (initialVelocity_ + initialOffset_ * dampingRatio_ * naturalAngularVelocity) * (1 / dampedAngularVelocity_);
91     } else if (dampingRatio_ == 1) { // Critically-Damped Systems
92         coeffDecay_ = -naturalAngularVelocity;
93         coeffScale_ = initialVelocity_ + initialOffset_ * naturalAngularVelocity;
94     } else { // Over-damped Systems
95         double coeffTmp = sqrt(dampingRatio_ * dampingRatio_ - 1);
96         coeffDecay_ = (-dampingRatio_ + coeffTmp) * naturalAngularVelocity;
97         coeffScale_ = (initialOffset_ * ((dampingRatio_ + coeffTmp) * naturalAngularVelocity) + initialVelocity_) *
98                       (0.5f / (naturalAngularVelocity * coeffTmp));
99         coeffScaleAlt_ = (initialOffset_ * ((coeffTmp - dampingRatio_) * naturalAngularVelocity) - initialVelocity_) *
100                          (0.5f / (naturalAngularVelocity * coeffTmp));
101         coeffDecayAlt_ = (-dampingRatio_ - coeffTmp) * naturalAngularVelocity;
102     }
103 }
104 
105 template<typename RSAnimatableType>
EstimateDuration()106 void RSSpringModel<RSAnimatableType>::EstimateDuration()
107 {
108     if (dampingRatio_ <= 0.0f) {
109         ROSEN_LOGE("RSSpringModel::%s, uninitialized spring model", __func__);
110         return;
111     }
112 
113     // convert templated type to float, simplify estimation of spring duration
114     float coeffScale = toFloat(coeffScale_);
115     float initialOffset = toFloat(initialOffset_);
116     float estimatedDuration = 0.0f;
117     float minimumAmplitude = initialOffset * minimumAmplitudeRatio_;
118 
119     if (dampingRatio_ < 1) { // Under-damped
120         estimatedDuration = log(fmax(coeffScale, initialOffset) / minimumAmplitude) / -coeffDecay_;
121     } else if (dampingRatio_ == 1) { // Critically-damped
122         // critical damping spring will rest at 2 * natural period
123         estimatedDuration_ = response_ * 2;
124     } else { // Over-damped
125         float coeffScaleAlt = toFloat(coeffScaleAlt_);
126         double durationMain =
127             (coeffScale <= minimumAmplitude) ? 0 : (log(coeffScale / minimumAmplitude) / -coeffDecay_);
128         double durationAlt =
129             (coeffScaleAlt <= minimumAmplitude) ? 0 : (log(coeffScaleAlt / minimumAmplitude) / -coeffDecayAlt_);
130         estimatedDuration = fmax(durationMain, durationAlt);
131     }
132     estimatedDuration_ = std::clamp(estimatedDuration, SPRING_MIN_DURATION, SPRING_MAX_DURATION);
133     ROSEN_LOGD("RSSpringModel::%s estimated duration = %.5f, clamped duration = %.5f", __func__, estimatedDuration,
134         estimatedDuration_);
135 }
136 
137 template<typename RSAnimatableType>
CalculateDisplacement(double time) const138 RSAnimatableType RSSpringModel<RSAnimatableType>::CalculateDisplacement(double time) const
139 {
140     if (dampingRatio_ <= 0.0f) {
141         ROSEN_LOGE("RSSpringModel::%s, uninitialized spring model", __func__);
142         return {};
143     }
144     double coeffDecay = exp(coeffDecay_ * time);
145     if (dampingRatio_ < 1) {
146         // under-damped
147         double rad = dampedAngularVelocity_ * time;
148         RSAnimatableType coeffPeriod = initialOffset_ * cos(rad) + coeffScale_ * sin(rad);
149         return coeffPeriod * coeffDecay;
150     } else if (dampingRatio_ == 1) {
151         // critical-damped
152         return (initialOffset_ + coeffScale_ * time) * coeffDecay;
153     } else {
154         // over-damped
155         double coeffDecayAlt = exp(coeffDecayAlt_ * time);
156         return coeffScale_ * coeffDecay + coeffScaleAlt_ * coeffDecayAlt;
157     }
158 }
159 
160 template<typename RSAnimatableType>
GetEstimatedDuration()161 float RSSpringModel<RSAnimatableType>::GetEstimatedDuration()
162 {
163     if (estimatedDuration_ < SPRING_MIN_DURATION) {
164         // during not estimated yet
165         EstimateDuration();
166     }
167     return estimatedDuration_;
168 }
169 
170 template<>
CalculateSpringParameters()171 void RSSpringModel<std::shared_ptr<RSRenderPropertyBase>>::CalculateSpringParameters()
172 {
173     // sanity check
174     dampingRatio_ = std::clamp(dampingRatio_, SPRING_MIN_DAMPING_RATIO, SPRING_MAX_DAMPING_RATIO);
175     if (response_ <= 0) {
176         response_ = SPRING_MIN_RESPONSE;
177     }
178     if (minimumAmplitudeRatio_ <= 0) {
179         minimumAmplitudeRatio_ = SPRING_MIN_AMPLITUDE_RATIO;
180     }
181     if (initialOffset_ == nullptr) {
182         return;
183     }
184 
185     // calculate internal parameters
186     double naturalAngularVelocity = 2 * M_PI / response_;
187     if (dampingRatio_ < 1) { // Under-damped Systems
188         dampedAngularVelocity_ = naturalAngularVelocity * sqrt(1.0f - dampingRatio_ * dampingRatio_);
189         coeffDecay_ = -dampingRatio_ * naturalAngularVelocity;
190         coeffScale_ = (initialVelocity_ + initialOffset_ * dampingRatio_ * naturalAngularVelocity) *=
191             (1 / dampedAngularVelocity_);
192     } else if (dampingRatio_ == 1) { // Critically-Damped Systems
193         coeffDecay_ = -naturalAngularVelocity;
194         coeffScale_ = initialVelocity_ + initialOffset_ * naturalAngularVelocity;
195     } else { // Over-damped Systems
196         double coeffTmp = sqrt(dampingRatio_ * dampingRatio_ - 1);
197         coeffDecay_ = (-dampingRatio_ + coeffTmp) * naturalAngularVelocity;
198         coeffScale_ = (initialOffset_ * ((dampingRatio_ + coeffTmp) * naturalAngularVelocity) += initialVelocity_) *=
199             (0.5f / (naturalAngularVelocity * coeffTmp));
200         coeffScaleAlt_ = (initialOffset_ * ((coeffTmp - dampingRatio_) * naturalAngularVelocity) -= initialVelocity_) *=
201             (0.5f / (naturalAngularVelocity * coeffTmp));
202         coeffDecayAlt_ = (-dampingRatio_ - coeffTmp) * naturalAngularVelocity;
203     }
204 }
205 
206 template<>
EstimateDuration()207 void RSSpringModel<std::shared_ptr<RSRenderPropertyBase>>::EstimateDuration()
208 {
209     if (dampingRatio_ <= 0.0f) {
210         ROSEN_LOGE("RSSpringModel::%s, uninitialized spring model", __func__);
211         return;
212     }
213 
214     // convert templated type to float, simplify estimation of spring duration
215     float coeffScale = coeffScale_->ToFloat();
216     float initialOffset = initialOffset_->ToFloat();
217     float estimatedDuration = 0.0f;
218     float minimumAmplitude = initialOffset * minimumAmplitudeRatio_;
219 
220     if (dampingRatio_ < 1) { // Under-damped
221         estimatedDuration = log(fmax(coeffScale, initialOffset) / minimumAmplitude) / -coeffDecay_;
222     } else if (dampingRatio_ == 1) { // Critically-damped
223         // critical damping spring will rest at 2 * natural period
224         estimatedDuration_ = response_ * 2;
225     } else { // Over-damped
226         float coeffScaleAlt = coeffScaleAlt_->ToFloat();
227         double durationMain =
228             (coeffScale <= minimumAmplitude) ? 0 : (log(coeffScale / minimumAmplitude) / -coeffDecay_);
229         double durationAlt =
230             (coeffScaleAlt <= minimumAmplitude) ? 0 : (log(coeffScaleAlt / minimumAmplitude) / -coeffDecayAlt_);
231         estimatedDuration = fmax(durationMain, durationAlt);
232     }
233     estimatedDuration_ = std::clamp(estimatedDuration, SPRING_MIN_DURATION, SPRING_MAX_DURATION);
234     ROSEN_LOGD("RSSpringModel::%s estimated duration = %.5f, clamped duration = %.5f", __func__, estimatedDuration,
235         estimatedDuration_);
236 }
237 
238 template<>
CalculateDisplacement(double time) const239 std::shared_ptr<RSRenderPropertyBase> RSSpringModel<std::shared_ptr<RSRenderPropertyBase>>::CalculateDisplacement(
240     double time) const
241 {
242     if (dampingRatio_ <= 0.0f) {
243         ROSEN_LOGE("RSSpringModel::%s, uninitialized spring model", __func__);
244         return {};
245     }
246     double coeffDecay = exp(coeffDecay_ * time);
247     if (dampingRatio_ < 1) {
248         // under-damped
249         double rad = dampedAngularVelocity_ * time;
250         auto coeffPeriod = (initialOffset_ * cos(rad)) += (coeffScale_ * sin(rad));
251         return coeffPeriod *= coeffDecay;
252     } else if (dampingRatio_ == 1) {
253         // critical-damped
254         return (initialOffset_ + coeffScale_ * time) *= coeffDecay;
255     } else {
256         // over-damped
257         double coeffDecayAlt = exp(coeffDecayAlt_ * time);
258         return (coeffScale_ * coeffDecay) += (coeffScaleAlt_ * coeffDecayAlt);
259     }
260 }
261 
262 template class RSSpringModel<float>;
263 template class RSSpringModel<Color>;
264 template class RSSpringModel<Matrix3f>;
265 template class RSSpringModel<Vector2f>;
266 template class RSSpringModel<Vector4f>;
267 template class RSSpringModel<Quaternion>;
268 template class RSSpringModel<Vector4<Color>>;
269 template class RSSpringModel<std::shared_ptr<RSFilter>>;
270 template class RSSpringModel<std::shared_ptr<RSRenderPropertyBase>>;
271 } // namespace Rosen
272 } // namespace OHOS
273