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1 /*
2  * Copyright (C) 2016 The Android Open Source Project
3  *
4  * Licensed under the Apache License, Version 2.0 (the "License");
5  * you may not use this file except in compliance with the License.
6  * You may obtain a copy of the License at
7  *
8  *      http://www.apache.org/licenses/LICENSE-2.0
9  *
10  * Unless required by applicable law or agreed to in writing, software
11  * distributed under the License is distributed on an "AS IS" BASIS,
12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13  * See the License for the specific language governing permissions and
14  * limitations under the License.
15  */
16 
17 #include "calibration/gyroscope/gyro_stillness_detect.h"
18 
19 #include <string.h>
20 
21 /////// FORWARD DECLARATIONS /////////////////////////////////////////
22 
23 // Enforces the limits of an input value [0,1].
24 static float gyroStillDetLimit(float value);
25 
26 /////// FUNCTION DEFINITIONS /////////////////////////////////////////
27 
28 // Initialize the GyroStillDet structure.
gyroStillDetInit(struct GyroStillDet * gyro_still_det,float var_threshold,float confidence_delta)29 void gyroStillDetInit(struct GyroStillDet* gyro_still_det, float var_threshold,
30                       float confidence_delta) {
31   // Clear all data structure variables to 0.
32   memset(gyro_still_det, 0, sizeof(struct GyroStillDet));
33 
34   // Set the delta about the variance threshold for calculation
35   // of the stillness confidence score.
36   if (confidence_delta < var_threshold) {
37     gyro_still_det->confidence_delta = confidence_delta;
38   } else {
39     gyro_still_det->confidence_delta = var_threshold;
40   }
41 
42   // Set the variance threshold parameter for the stillness
43   // confidence score.
44   gyro_still_det->var_threshold = var_threshold;
45 
46   // Signal to start capture of next stillness data window.
47   gyro_still_det->start_new_window = true;
48 }
49 
50 // Update the stillness detector with a new sample.
gyroStillDetUpdate(struct GyroStillDet * gyro_still_det,uint64_t stillness_win_endtime,uint64_t sample_time,float x,float y,float z)51 void gyroStillDetUpdate(struct GyroStillDet* gyro_still_det,
52                         uint64_t stillness_win_endtime, uint64_t sample_time,
53                         float x, float y, float z) {
54   // Using the method of the assumed mean to preserve some numerical
55   // stability while avoiding per-sample divisions that the more
56   // numerically stable Welford method would afford.
57 
58   // Reference for the numerical method used below to compute the
59   // online mean and variance statistics:
60   //   1). en.wikipedia.org/wiki/assumed_mean
61 
62   float delta = 0;
63 
64   // If the window end time is not valid then wait till it is.
65   if (stillness_win_endtime <= 0) {
66     return;
67   }
68 
69   // Increment the number of samples.
70   gyro_still_det->num_acc_samples++;
71 
72   // Online computation of mean for the running stillness period.
73   gyro_still_det->mean_x += x;
74   gyro_still_det->mean_y += y;
75   gyro_still_det->mean_z += z;
76 
77   // Is this the first sample of a new window?
78   if (gyro_still_det->start_new_window) {
79     // Record the window start time.
80     gyro_still_det->window_start_time = sample_time;
81     gyro_still_det->start_new_window = false;
82 
83     // Update assumed mean values.
84     gyro_still_det->assumed_mean_x = x;
85     gyro_still_det->assumed_mean_y = y;
86     gyro_still_det->assumed_mean_z = z;
87 
88     // Reset current window mean and variance.
89     gyro_still_det->num_acc_win_samples = 0;
90     gyro_still_det->win_mean_x = 0;
91     gyro_still_det->win_mean_y = 0;
92     gyro_still_det->win_mean_z = 0;
93     gyro_still_det->acc_var_x = 0;
94     gyro_still_det->acc_var_y = 0;
95     gyro_still_det->acc_var_z = 0;
96   } else {
97     // Check to see if we have enough samples to compute a stillness
98     // confidence score.
99     gyro_still_det->stillness_window_ready =
100         (sample_time >= stillness_win_endtime) &&
101         (gyro_still_det->num_acc_samples > 1);
102   }
103 
104   // Record the most recent sample time stamp.
105   gyro_still_det->last_sample_time = sample_time;
106 
107   // Online window mean and variance ("one-pass" accumulation).
108   gyro_still_det->num_acc_win_samples++;
109 
110   delta = (x - gyro_still_det->assumed_mean_x);
111   gyro_still_det->win_mean_x += delta;
112   gyro_still_det->acc_var_x += delta * delta;
113 
114   delta = (y - gyro_still_det->assumed_mean_y);
115   gyro_still_det->win_mean_y += delta;
116   gyro_still_det->acc_var_y += delta * delta;
117 
118   delta = (z - gyro_still_det->assumed_mean_z);
119   gyro_still_det->win_mean_z += delta;
120   gyro_still_det->acc_var_z += delta * delta;
121 }
122 
123 // Calculates and returns the stillness confidence score [0,1].
gyroStillDetCompute(struct GyroStillDet * gyro_still_det)124 float gyroStillDetCompute(struct GyroStillDet* gyro_still_det) {
125   float tmp_denom = 1.f;
126   float tmp_denom_mean = 1.f;
127 
128   // Don't divide by zero (not likely, but a precaution).
129   if (gyro_still_det->num_acc_win_samples > 1) {
130     tmp_denom = 1.f / (gyro_still_det->num_acc_win_samples - 1);
131     tmp_denom_mean = 1.f / gyro_still_det->num_acc_win_samples;
132   } else {
133     // Return zero stillness confidence.
134     gyro_still_det->stillness_confidence = 0;
135     return gyro_still_det->stillness_confidence;
136   }
137 
138   // Update the final calculation of window mean and variance.
139   float tmp = gyro_still_det->win_mean_x;
140   gyro_still_det->win_mean_x *= tmp_denom_mean;
141   gyro_still_det->win_var_x =
142       (gyro_still_det->acc_var_x - gyro_still_det->win_mean_x * tmp) *
143       tmp_denom;
144 
145   tmp = gyro_still_det->win_mean_y;
146   gyro_still_det->win_mean_y *= tmp_denom_mean;
147   gyro_still_det->win_var_y =
148       (gyro_still_det->acc_var_y - gyro_still_det->win_mean_y * tmp) *
149       tmp_denom;
150 
151   tmp = gyro_still_det->win_mean_z;
152   gyro_still_det->win_mean_z *= tmp_denom_mean;
153   gyro_still_det->win_var_z =
154       (gyro_still_det->acc_var_z - gyro_still_det->win_mean_z * tmp) *
155       tmp_denom;
156 
157   // Adds the assumed mean value back to the total mean calculation.
158   gyro_still_det->win_mean_x += gyro_still_det->assumed_mean_x;
159   gyro_still_det->win_mean_y += gyro_still_det->assumed_mean_y;
160   gyro_still_det->win_mean_z += gyro_still_det->assumed_mean_z;
161 
162   // Define the variance thresholds.
163   float upper_var_thresh =
164       (gyro_still_det->var_threshold + gyro_still_det->confidence_delta);
165 
166   float lower_var_thresh =
167       (gyro_still_det->var_threshold - gyro_still_det->confidence_delta);
168 
169   // Compute the stillness confidence score.
170   if ((gyro_still_det->win_var_x > upper_var_thresh) ||
171       (gyro_still_det->win_var_y > upper_var_thresh) ||
172       (gyro_still_det->win_var_z > upper_var_thresh)) {
173     // Sensor variance exceeds the upper threshold (i.e., motion detected).
174     // Set stillness confidence equal to 0.
175     gyro_still_det->stillness_confidence = 0;
176 
177   } else {
178     if ((gyro_still_det->win_var_x <= lower_var_thresh) &&
179         (gyro_still_det->win_var_y <= lower_var_thresh) &&
180         (gyro_still_det->win_var_z <= lower_var_thresh)) {
181       // Sensor variance is below the lower threshold (i.e., stillness
182       // detected).
183       // Set stillness confidence equal to 1.
184       gyro_still_det->stillness_confidence = 1.f;
185 
186     } else {
187       // Motion detection thresholds not exceeded. Compute the stillness
188       // confidence score.
189 
190       float var_thresh = gyro_still_det->var_threshold;
191 
192       // Compute the stillness confidence score.
193       // Each axis score is limited [0,1].
194       tmp_denom = 1.f / (upper_var_thresh - lower_var_thresh);
195       gyro_still_det->stillness_confidence =
196           gyroStillDetLimit(0.5f - (gyro_still_det->win_var_x - var_thresh) *
197                                        tmp_denom) *
198           gyroStillDetLimit(0.5f - (gyro_still_det->win_var_y - var_thresh) *
199                                        tmp_denom) *
200           gyroStillDetLimit(0.5f - (gyro_still_det->win_var_z - var_thresh) *
201                                        tmp_denom);
202     }
203   }
204 
205   // Return the stillness confidence.
206   return gyro_still_det->stillness_confidence;
207 }
208 
209 // Resets the stillness detector and initiates a new detection window.
210 // 'reset_stats' determines whether the stillness statistics are reset.
gyroStillDetReset(struct GyroStillDet * gyro_still_det,bool reset_stats)211 void gyroStillDetReset(struct GyroStillDet* gyro_still_det, bool reset_stats) {
212   float tmp_denom = 1.f;
213 
214   // Reset the stillness data ready flag.
215   gyro_still_det->stillness_window_ready = false;
216 
217   // Signal to start capture of next stillness data window.
218   gyro_still_det->start_new_window = true;
219 
220   // Track the stillness confidence (current->previous).
221   gyro_still_det->prev_stillness_confidence =
222       gyro_still_det->stillness_confidence;
223 
224   // Track changes in the mean estimate.
225   if (gyro_still_det->num_acc_samples > 1) {
226     tmp_denom = 1.f / gyro_still_det->num_acc_samples;
227   }
228   gyro_still_det->prev_mean_x = gyro_still_det->mean_x * tmp_denom;
229   gyro_still_det->prev_mean_y = gyro_still_det->mean_y * tmp_denom;
230   gyro_still_det->prev_mean_z = gyro_still_det->mean_z * tmp_denom;
231 
232   // Reset the current statistics to zero.
233   if (reset_stats) {
234     gyro_still_det->num_acc_samples = 0;
235     gyro_still_det->mean_x = 0;
236     gyro_still_det->mean_y = 0;
237     gyro_still_det->mean_z = 0;
238     gyro_still_det->acc_var_x = 0;
239     gyro_still_det->acc_var_y = 0;
240     gyro_still_det->acc_var_z = 0;
241   }
242 }
243 
244 // Enforces the limits of an input value [0,1].
gyroStillDetLimit(float value)245 float gyroStillDetLimit(float value) {
246   // Fix limits [0,1].
247   if (value < 0) {
248     value = 0;
249   } else {
250     if (value > 1.f) {
251       value = 1.f;
252     }
253   }
254 
255   return value;
256 }
257