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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 // adapted from frameworks/native/services/sensorservice/Fusion.cpp
18 
19 #include <algos/fusion.h>
20 
21 #include <errno.h>
22 #include <nanohub_math.h>
23 #include <stdio.h>
24 
25 #include <seos.h>
26 
27 #ifdef DEBUG_CH
28 // change to 0 to disable fusion debugging output
29 #define DEBUG_FUSION  0
30 #endif
31 
32 #define ACC     1
33 #define MAG     2
34 #define GYRO    4
35 
36 #define DEFAULT_GYRO_VAR         1e-7f
37 #define DEFAULT_GYRO_BIAS_VAR    1e-12f
38 #define DEFAULT_ACC_STDEV        5e-2f
39 #define DEFAULT_MAG_STDEV        5e-1f
40 
41 #define GEOMAG_GYRO_VAR          2e-4f
42 #define GEOMAG_GYRO_BIAS_VAR     1e-4f
43 #define GEOMAG_ACC_STDEV         0.02f
44 #define GEOMAG_MAG_STDEV         0.02f
45 
46 #define SYMMETRY_TOLERANCE       1e-10f
47 #define FAKE_MAG_INTERVAL        1.0f  //sec
48 
49 #define NOMINAL_GRAVITY          9.81f
50 #define FREE_FALL_THRESHOLD      (0.1f * NOMINAL_GRAVITY)
51 #define FREE_FALL_THRESHOLD_SQ   (FREE_FALL_THRESHOLD * FREE_FALL_THRESHOLD)
52 
53 #define MAX_VALID_MAGNETIC_FIELD    75.0f
54 #define MAX_VALID_MAGNETIC_FIELD_SQ (MAX_VALID_MAGNETIC_FIELD * MAX_VALID_MAGNETIC_FIELD)
55 
56 #define MIN_VALID_MAGNETIC_FIELD    20.0f   //norminal mag field strength is 25uT in some area
57 #define MIN_VALID_MAGNETIC_FIELD_SQ (MIN_VALID_MAGNETIC_FIELD * MIN_VALID_MAGNETIC_FIELD)
58 
59 #define MIN_VALID_CROSS_PRODUCT_MAG     1.0e-3
60 #define MIN_VALID_CROSS_PRODUCT_MAG_SQ  (MIN_VALID_CROSS_PRODUCT_MAG * MIN_VALID_CROSS_PRODUCT_MAG)
61 
62 #define DELTA_TIME_MARGIN 1.0e-9f
63 
64 #define TRUST_DURATION_MANUAL_MAG_CAL      5.f  //unit: seconds
65 
initFusion(struct Fusion * fusion,uint32_t flags)66 void initFusion(struct Fusion *fusion, uint32_t flags) {
67     fusion->flags = flags;
68 
69     if (flags & FUSION_USE_GYRO) {
70         // normal fusion mode
71         fusion->param.gyro_var = DEFAULT_GYRO_VAR;
72         fusion->param.gyro_bias_var = DEFAULT_GYRO_BIAS_VAR;
73         fusion->param.acc_stdev = DEFAULT_ACC_STDEV;
74         fusion->param.mag_stdev = DEFAULT_MAG_STDEV;
75     } else {
76         // geo mag mode
77         fusion->param.gyro_var = GEOMAG_GYRO_VAR;
78         fusion->param.gyro_bias_var = GEOMAG_GYRO_BIAS_VAR;
79         fusion->param.acc_stdev = GEOMAG_ACC_STDEV;
80         fusion->param.mag_stdev = GEOMAG_MAG_STDEV;
81     }
82 
83     if (flags & FUSION_REINITIALIZE)
84     {
85         initVec3(&fusion->Ba, 0.0f, 0.0f, 1.0f);
86         initVec3(&fusion->Bm, 0.0f, 1.0f, 0.0f);
87 
88         initVec4(&fusion->x0, 0.0f, 0.0f, 0.0f, 0.0f);
89         initVec3(&fusion->x1, 0.0f, 0.0f, 0.0f);
90 
91         fusion->mInitState = 0;
92 
93         fusion->mPredictDt = 0.0f;
94         fusion->mCount[0] = fusion->mCount[1] = fusion->mCount[2] = 0;
95 
96         initVec3(&fusion->mData[0], 0.0f, 0.0f, 0.0f);
97         initVec3(&fusion->mData[1], 0.0f, 0.0f, 0.0f);
98         initVec3(&fusion->mData[2], 0.0f, 0.0f, 0.0f);
99 
100     } else  {
101         // mask off disabled sensor bit
102         fusion->mInitState &= (ACC
103                                | ((fusion->flags & FUSION_USE_MAG) ? MAG : 0)
104                                | ((fusion->flags & FUSION_USE_GYRO) ? GYRO : 0));
105     }
106 
107     fusionSetMagTrust(fusion, NORMAL);
108     fusion->lastMagInvalid = false;
109 }
110 
fusionHasEstimate(const struct Fusion * fusion)111 int fusionHasEstimate(const struct Fusion *fusion) {
112     // waive sensor init depends on the mode
113     return fusion->mInitState == (ACC
114                                   | ((fusion->flags & FUSION_USE_MAG) ? MAG : 0)
115                                   | ((fusion->flags & FUSION_USE_GYRO) ? GYRO : 0));
116 }
117 
updateDt(struct Fusion * fusion,float dT)118 static void updateDt(struct Fusion *fusion, float dT) {
119     if (fabsf(fusion->mPredictDt - dT) > DELTA_TIME_MARGIN) {
120         float dT2 = dT * dT;
121         float dT3 = dT2 * dT;
122 
123         float q00 = fusion->param.gyro_var * dT +
124                     0.33333f * fusion->param.gyro_bias_var * dT3;
125         float q11 = fusion->param.gyro_bias_var * dT;
126         float q10 = 0.5f * fusion->param.gyro_bias_var * dT2;
127         float q01 = q10;
128 
129         initDiagonalMatrix(&fusion->GQGt[0][0], q00);
130         initDiagonalMatrix(&fusion->GQGt[0][1], -q10);
131         initDiagonalMatrix(&fusion->GQGt[1][0], -q01);
132         initDiagonalMatrix(&fusion->GQGt[1][1], q11);
133         fusion->mPredictDt = dT;
134     }
135 }
136 
fusion_init_complete(struct Fusion * fusion,int what,const struct Vec3 * d,float dT)137 static int fusion_init_complete(struct Fusion *fusion, int what, const struct Vec3 *d, float dT) {
138     if (fusionHasEstimate(fusion)) {
139         return 1;
140     }
141 
142     switch (what) {
143         case ACC:
144         {
145             if (!(fusion->flags & FUSION_USE_GYRO)) {
146                 updateDt(fusion, dT);
147             }
148             struct Vec3 unityD = *d;
149             vec3Normalize(&unityD);
150 
151             vec3Add(&fusion->mData[0], &unityD);
152             ++fusion->mCount[0];
153 
154             if (fusion->mCount[0] == 8) {
155                 fusion->mInitState |= ACC;
156             }
157             break;
158         }
159 
160         case MAG:
161         {
162             struct Vec3 unityD = *d;
163             vec3Normalize(&unityD);
164 
165             vec3Add(&fusion->mData[1], &unityD);
166             ++fusion->mCount[1];
167 
168             fusion->mInitState |= MAG;
169             break;
170         }
171 
172         case GYRO:
173         {
174             updateDt(fusion, dT);
175 
176             struct Vec3 scaledD = *d;
177             vec3ScalarMul(&scaledD, dT);
178 
179             vec3Add(&fusion->mData[2], &scaledD);
180             ++fusion->mCount[2];
181 
182             fusion->mInitState |= GYRO;
183             break;
184         }
185 
186         default:
187             // assert(!"should not be here");
188             break;
189     }
190 
191     if (fusionHasEstimate(fusion)) {
192         vec3ScalarMul(&fusion->mData[0], 1.0f / fusion->mCount[0]);
193 
194         if (fusion->flags & FUSION_USE_MAG) {
195             vec3ScalarMul(&fusion->mData[1], 1.0f / fusion->mCount[1]);
196         } else {
197             fusion->fake_mag_decimation = 0.f;
198         }
199 
200         struct Vec3 up = fusion->mData[0];
201 
202         struct Vec3 east;
203         if (fusion->flags & FUSION_USE_MAG) {
204             vec3Cross(&east, &fusion->mData[1], &up);
205             vec3Normalize(&east);
206         } else {
207             findOrthogonalVector(up.x, up.y, up.z, &east.x, &east.y, &east.z);
208         }
209 
210         struct Vec3 north;
211         vec3Cross(&north, &up, &east);
212 
213         struct Mat33 R;
214         initMatrixColumns(&R, &east, &north, &up);
215 
216         //Quat q;
217         //initQuat(&q, &R);
218 
219         initQuat(&fusion->x0, &R);
220         initVec3(&fusion->x1, 0.0f, 0.0f, 0.0f);
221 
222         initZeroMatrix(&fusion->P[0][0]);
223         initZeroMatrix(&fusion->P[0][1]);
224         initZeroMatrix(&fusion->P[1][0]);
225         initZeroMatrix(&fusion->P[1][1]);
226 
227         fusionSetMagTrust(fusion, INITIALIZATION);
228     }
229 
230     return 0;
231 }
232 
matrixCross(struct Mat33 * out,struct Vec3 * p,float diag)233 static void matrixCross(struct Mat33 *out, struct Vec3 *p, float diag) {
234     out->elem[0][0] = diag;
235     out->elem[1][1] = diag;
236     out->elem[2][2] = diag;
237     out->elem[1][0] = p->z;
238     out->elem[0][1] = -p->z;
239     out->elem[2][0] = -p->y;
240     out->elem[0][2] = p->y;
241     out->elem[2][1] = p->x;
242     out->elem[1][2] = -p->x;
243 }
244 
fusionCheckState(struct Fusion * fusion)245 static void fusionCheckState(struct Fusion *fusion) {
246 
247     if (!mat33IsPositiveSemidefinite(&fusion->P[0][0], SYMMETRY_TOLERANCE)
248             || !mat33IsPositiveSemidefinite(
249                 &fusion->P[1][1], SYMMETRY_TOLERANCE)) {
250 
251         initZeroMatrix(&fusion->P[0][0]);
252         initZeroMatrix(&fusion->P[0][1]);
253         initZeroMatrix(&fusion->P[1][0]);
254         initZeroMatrix(&fusion->P[1][1]);
255     }
256 }
257 
258 #define kEps 1.0E-4f
259 
260 UNROLLED
fusionPredict(struct Fusion * fusion,const struct Vec3 * w)261 static void fusionPredict(struct Fusion *fusion, const struct Vec3 *w) {
262     const float dT = fusion->mPredictDt;
263 
264     Quat q = fusion->x0;
265     struct Vec3 b = fusion->x1;
266 
267     struct Vec3 we = *w;
268     vec3Sub(&we, &b);
269 
270     struct Mat33 I33;
271     initDiagonalMatrix(&I33, 1.0f);
272 
273     struct Mat33 I33dT;
274     initDiagonalMatrix(&I33dT, dT);
275 
276     struct Mat33 wx;
277     matrixCross(&wx, &we, 0.0f);
278 
279     struct Mat33 wx2;
280     mat33Multiply(&wx2, &wx, &wx);
281 
282     float norm_we = vec3Norm(&we);
283 
284     if (fabsf(norm_we) < kEps) {
285         return;
286     }
287 
288     float lwedT = norm_we * dT;
289     float hlwedT = 0.5f * lwedT;
290     float ilwe = 1.0f / norm_we;
291     float k0 = (1.0f - cosf(lwedT)) * (ilwe * ilwe);
292     float k1 = sinf(lwedT);
293     float k2 = cosf(hlwedT);
294 
295     struct Vec3 psi = we;
296     vec3ScalarMul(&psi, sinf(hlwedT) * ilwe);
297 
298     struct Vec3 negPsi = psi;
299     vec3ScalarMul(&negPsi, -1.0f);
300 
301     struct Mat33 O33;
302     matrixCross(&O33, &negPsi, k2);
303 
304     struct Mat44 O;
305     uint32_t i;
306     for (i = 0; i < 3; ++i) {
307         uint32_t j;
308         for (j = 0; j < 3; ++j) {
309             O.elem[i][j] = O33.elem[i][j];
310         }
311     }
312 
313     O.elem[3][0] = -psi.x;
314     O.elem[3][1] = -psi.y;
315     O.elem[3][2] = -psi.z;
316     O.elem[3][3] = k2;
317 
318     O.elem[0][3] = psi.x;
319     O.elem[1][3] = psi.y;
320     O.elem[2][3] = psi.z;
321 
322     struct Mat33 tmp = wx;
323     mat33ScalarMul(&tmp, k1 * ilwe);
324 
325     fusion->Phi0[0] = I33;
326     mat33Sub(&fusion->Phi0[0], &tmp);
327 
328     tmp = wx2;
329     mat33ScalarMul(&tmp, k0);
330 
331     mat33Add(&fusion->Phi0[0], &tmp);
332 
333     tmp = wx;
334     mat33ScalarMul(&tmp, k0);
335     fusion->Phi0[1] = tmp;
336 
337     mat33Sub(&fusion->Phi0[1], &I33dT);
338 
339     tmp = wx2;
340     mat33ScalarMul(&tmp, ilwe * ilwe * ilwe * (lwedT - k1));
341 
342     mat33Sub(&fusion->Phi0[1], &tmp);
343 
344     mat44Apply(&fusion->x0, &O, &q);
345 
346     if (fusion->x0.w < 0.0f) {
347         fusion->x0.x = -fusion->x0.x;
348         fusion->x0.y = -fusion->x0.y;
349         fusion->x0.z = -fusion->x0.z;
350         fusion->x0.w = -fusion->x0.w;
351     }
352 
353     // Pnew = Phi * P
354 
355     struct Mat33 Pnew[2][2];
356     mat33Multiply(&Pnew[0][0], &fusion->Phi0[0], &fusion->P[0][0]);
357     mat33Multiply(&tmp, &fusion->Phi0[1], &fusion->P[1][0]);
358     mat33Add(&Pnew[0][0], &tmp);
359 
360     mat33Multiply(&Pnew[0][1], &fusion->Phi0[0], &fusion->P[0][1]);
361     mat33Multiply(&tmp, &fusion->Phi0[1], &fusion->P[1][1]);
362     mat33Add(&Pnew[0][1], &tmp);
363 
364     Pnew[1][0] = fusion->P[1][0];
365     Pnew[1][1] = fusion->P[1][1];
366 
367     // P = Pnew * Phi^T
368 
369     mat33MultiplyTransposed2(&fusion->P[0][0], &Pnew[0][0], &fusion->Phi0[0]);
370     mat33MultiplyTransposed2(&tmp, &Pnew[0][1], &fusion->Phi0[1]);
371     mat33Add(&fusion->P[0][0], &tmp);
372 
373     fusion->P[0][1] = Pnew[0][1];
374 
375     mat33MultiplyTransposed2(&fusion->P[1][0], &Pnew[1][0], &fusion->Phi0[0]);
376     mat33MultiplyTransposed2(&tmp, &Pnew[1][1], &fusion->Phi0[1]);
377     mat33Add(&fusion->P[1][0], &tmp);
378 
379     fusion->P[1][1] = Pnew[1][1];
380 
381     mat33Add(&fusion->P[0][0], &fusion->GQGt[0][0]);
382     mat33Add(&fusion->P[0][1], &fusion->GQGt[0][1]);
383     mat33Add(&fusion->P[1][0], &fusion->GQGt[1][0]);
384     mat33Add(&fusion->P[1][1], &fusion->GQGt[1][1]);
385 
386     fusionCheckState(fusion);
387 }
388 
fusionHandleGyro(struct Fusion * fusion,const struct Vec3 * w,float dT)389 void fusionHandleGyro(struct Fusion *fusion, const struct Vec3 *w, float dT) {
390     if (!fusion_init_complete(fusion, GYRO, w, dT)) {
391         return;
392     }
393 
394     updateDt(fusion, dT);
395 
396     fusionPredict(fusion, w);
397 }
398 
399 UNROLLED
scaleCovariance(struct Mat33 * out,const struct Mat33 * A,const struct Mat33 * P)400 static void scaleCovariance(struct Mat33 *out, const struct Mat33 *A, const struct Mat33 *P) {
401     uint32_t r;
402     for (r = 0; r < 3; ++r) {
403         uint32_t j;
404         for (j = r; j < 3; ++j) {
405             float apat = 0.0f;
406             uint32_t c;
407             for (c = 0; c < 3; ++c) {
408                 float v = A->elem[c][r] * P->elem[c][c] * 0.5f;
409                 uint32_t k;
410                 for (k = c + 1; k < 3; ++k) {
411                     v += A->elem[k][r] * P->elem[c][k];
412                 }
413 
414                 apat += 2.0f * v * A->elem[c][j];
415             }
416 
417             out->elem[r][j] = apat;
418             out->elem[j][r] = apat;
419         }
420     }
421 }
422 
getF(struct Vec4 F[3],const struct Vec4 * q)423 static void getF(struct Vec4 F[3], const struct Vec4 *q) {
424     F[0].x = q->w;      F[1].x = -q->z;         F[2].x = q->y;
425     F[0].y = q->z;      F[1].y = q->w;          F[2].y = -q->x;
426     F[0].z = -q->y;     F[1].z = q->x;          F[2].z = q->w;
427     F[0].w = -q->x;     F[1].w = -q->y;         F[2].w = -q->z;
428 }
429 
fusionUpdate(struct Fusion * fusion,const struct Vec3 * z,const struct Vec3 * Bi,float sigma)430 static void fusionUpdate(
431         struct Fusion *fusion, const struct Vec3 *z, const struct Vec3 *Bi, float sigma) {
432     struct Mat33 A;
433     quatToMatrix(&A, &fusion->x0);
434 
435     struct Vec3 Bb;
436     mat33Apply(&Bb, &A, Bi);
437 
438     struct Mat33 L;
439     matrixCross(&L, &Bb, 0.0f);
440 
441     struct Mat33 R;
442     initDiagonalMatrix(&R, sigma * sigma);
443 
444     struct Mat33 S;
445     scaleCovariance(&S, &L, &fusion->P[0][0]);
446 
447     mat33Add(&S, &R);
448 
449     struct Mat33 Si;
450     mat33Invert(&Si, &S);
451 
452     struct Mat33 LtSi;
453     mat33MultiplyTransposed(&LtSi, &L, &Si);
454 
455     struct Mat33 K[2];
456     mat33Multiply(&K[0], &fusion->P[0][0], &LtSi);
457     mat33MultiplyTransposed(&K[1], &fusion->P[0][1], &LtSi);
458 
459     struct Mat33 K0L;
460     mat33Multiply(&K0L, &K[0], &L);
461 
462     struct Mat33 K1L;
463     mat33Multiply(&K1L, &K[1], &L);
464 
465     struct Mat33 tmp;
466     mat33Multiply(&tmp, &K0L, &fusion->P[0][0]);
467     mat33Sub(&fusion->P[0][0], &tmp);
468 
469     mat33Multiply(&tmp, &K1L, &fusion->P[0][1]);
470     mat33Sub(&fusion->P[1][1], &tmp);
471 
472     mat33Multiply(&tmp, &K0L, &fusion->P[0][1]);
473     mat33Sub(&fusion->P[0][1], &tmp);
474 
475     mat33Transpose(&fusion->P[1][0], &fusion->P[0][1]);
476 
477     struct Vec3 e = *z;
478     vec3Sub(&e, &Bb);
479 
480     struct Vec3 dq;
481     mat33Apply(&dq, &K[0], &e);
482 
483 
484     struct Vec4 F[3];
485     getF(F, &fusion->x0);
486 
487     // 4x3 * 3x1 => 4x1
488 
489     struct Vec4 q;
490     q.x = fusion->x0.x + 0.5f * (F[0].x * dq.x + F[1].x * dq.y + F[2].x * dq.z);
491     q.y = fusion->x0.y + 0.5f * (F[0].y * dq.x + F[1].y * dq.y + F[2].y * dq.z);
492     q.z = fusion->x0.z + 0.5f * (F[0].z * dq.x + F[1].z * dq.y + F[2].z * dq.z);
493     q.w = fusion->x0.w + 0.5f * (F[0].w * dq.x + F[1].w * dq.y + F[2].w * dq.z);
494 
495     fusion->x0 = q;
496     quatNormalize(&fusion->x0);
497 
498     if (fusion->flags & FUSION_USE_MAG) {
499         // accumulate gyro bias (causes self spin) only if not
500         // game rotation vector
501         struct Vec3 db;
502         mat33Apply(&db, &K[1], &e);
503         vec3Add(&fusion->x1, &db);
504     }
505 
506     fusionCheckState(fusion);
507 }
508 
509 #define ACC_TRUSTWORTHY(abs_norm_err)  ((abs_norm_err) < 1.f)
510 #define ACC_COS_CONV_FACTOR  0.01f
511 #define ACC_COS_CONV_LIMIT   3.f
512 
fusionHandleAcc(struct Fusion * fusion,const struct Vec3 * a,float dT)513 int fusionHandleAcc(struct Fusion *fusion, const struct Vec3 *a, float dT) {
514     if (!fusion_init_complete(fusion, ACC, a,  dT)) {
515         return -EINVAL;
516     }
517 
518     float norm2 = vec3NormSquared(a);
519 
520     if (norm2 < FREE_FALL_THRESHOLD_SQ) {
521         return -EINVAL;
522     }
523 
524     float l = sqrtf(norm2);
525     float l_inv = 1.0f / l;
526 
527     if (!(fusion->flags & FUSION_USE_GYRO)) {
528         // geo mag mode
529         // drive the Kalman filter with zero mean dummy gyro vector
530         struct Vec3 w_dummy;
531 
532         // avoid (fabsf(norm_we) < kEps) in fusionPredict()
533         initVec3(&w_dummy, fusion->x1.x + kEps, fusion->x1.y + kEps,
534                  fusion->x1.z + kEps);
535 
536         updateDt(fusion, dT);
537         fusionPredict(fusion, &w_dummy);
538     }
539 
540     struct Mat33 R;
541     fusionGetRotationMatrix(fusion, &R);
542 
543     if (!(fusion->flags & FUSION_USE_MAG) &&
544         (fusion->fake_mag_decimation += dT) > FAKE_MAG_INTERVAL) {
545         // game rotation mode, provide fake mag update to prevent
546         // P to diverge over time
547         struct Vec3 m;
548         mat33Apply(&m, &R, &fusion->Bm);
549 
550         fusionUpdate(fusion, &m, &fusion->Bm,
551                       fusion->param.mag_stdev);
552         fusion->fake_mag_decimation = 0.f;
553     }
554 
555     struct Vec3 unityA = *a;
556     vec3ScalarMul(&unityA, l_inv);
557 
558     float d = fabsf(l - NOMINAL_GRAVITY);
559     float p;
560     if (fusion->flags & FUSION_USE_GYRO) {
561         float fc = 0;
562         // Enable faster convergence
563         if (ACC_TRUSTWORTHY(d)) {
564             struct Vec3 aa;
565             mat33Apply(&aa, &R, &fusion->Ba);
566             float cos_err = vec3Dot(&aa, &unityA);
567             cos_err = cos_err < (1.f - ACC_COS_CONV_FACTOR) ?
568                 (1.f - ACC_COS_CONV_FACTOR) : cos_err;
569             fc = (1.f - cos_err) *
570                     (1.0f / ACC_COS_CONV_FACTOR * ACC_COS_CONV_LIMIT);
571         }
572         p = fusion->param.acc_stdev * expf(3 * d - fc);
573     } else {
574         // Adaptive acc weighting (trust acc less as it deviates from nominal g
575         // more), acc_stdev *= e(sqrt(| |acc| - g_nominal|))
576         //
577         // The weighting equation comes from heuristics.
578         p = fusion->param.acc_stdev * expf(sqrtf(d));
579     }
580 
581     fusionUpdate(fusion, &unityA, &fusion->Ba, p);
582 
583     return 0;
584 }
585 
586 #define MAG_COS_CONV_FACTOR   0.02f
587 #define MAG_COS_CONV_LIMIT    3.5f
588 #define MAG_STDEV_REDUCTION   0.005f // lower stdev means more trust
589 
fusionHandleMag(struct Fusion * fusion,const struct Vec3 * m,float dT)590 int fusionHandleMag(struct Fusion *fusion, const struct Vec3 *m, float dT) {
591     if (!fusion_init_complete(fusion, MAG, m, 0.0f /* dT */)) {
592         return -EINVAL;
593     }
594 
595     float magFieldSq = vec3NormSquared(m);
596 
597     if (magFieldSq > MAX_VALID_MAGNETIC_FIELD_SQ
598             || magFieldSq < MIN_VALID_MAGNETIC_FIELD_SQ) {
599         fusionSetMagTrust(fusion, NORMAL);
600         fusion->lastMagInvalid = true;
601         return -EINVAL;
602     }
603 
604     struct Mat33 R;
605     fusionGetRotationMatrix(fusion, &R);
606 
607     struct Vec3 up;
608     mat33Apply(&up, &R, &fusion->Ba);
609 
610     struct Vec3 east;
611     vec3Cross(&east, m, &up);
612 
613     if (vec3NormSquared(&east) < MIN_VALID_CROSS_PRODUCT_MAG_SQ) {
614         fusionSetMagTrust(fusion, NORMAL);
615         fusion->lastMagInvalid = true;
616         return -EINVAL;
617     }
618 
619     if (fusion->lastMagInvalid) {
620         fusion->lastMagInvalid = false;
621         fusionSetMagTrust(fusion, BACK_TO_VALID);
622     }
623 
624     struct Vec3 north;
625     vec3Cross(&north, &up, &east);
626 
627     float invNorm = 1.0f / vec3Norm(&north);
628     vec3ScalarMul(&north, invNorm);
629 
630     float p = fusion->param.mag_stdev;
631 
632     if (fusion->flags & FUSION_USE_GYRO) {
633         struct Vec3 mm;
634         mat33Apply(&mm, &R, &fusion->Bm);
635         float cos_err = vec3Dot(&mm, &north);
636 
637         if (fusion->trustedMagDuration > 0) {
638             // if the trust mag time period is not finished
639             if (cos_err < (1.f - MAG_COS_CONV_FACTOR/4)) {
640                 // if the mag direction and the fusion north has not converged, lower the
641                 // standard deviation of mag to speed up convergence.
642                 p *= MAG_STDEV_REDUCTION;
643                 fusion->trustedMagDuration -= dT;
644             } else {
645                 // it has converged already, so no need to keep the trust period any longer
646                 fusionSetMagTrust(fusion, NORMAL);
647             }
648         } else {
649             cos_err = cos_err < (1.f - MAG_COS_CONV_FACTOR) ?
650                 (1.f - MAG_COS_CONV_FACTOR) : cos_err;
651 
652             float fc;
653             fc = (1.f - cos_err) * (1.0f / MAG_COS_CONV_FACTOR * MAG_COS_CONV_LIMIT);
654             p *= expf(-fc);
655         }
656     }
657 
658     fusionUpdate(fusion, &north, &fusion->Bm, p);
659 
660     return 0;
661 }
662 
fusionSetMagTrust(struct Fusion * fusion,int mode)663 void fusionSetMagTrust(struct Fusion *fusion, int mode) {
664     switch(mode) {
665         case NORMAL:
666             fusion->trustedMagDuration = 0; // disable
667             break;
668         case INITIALIZATION:
669         case BACK_TO_VALID:
670             fusion->trustedMagDuration = 0; // no special treatment for these two
671             break;
672         case MANUAL_MAG_CAL:
673             fusion->trustedMagDuration = TRUST_DURATION_MANUAL_MAG_CAL;
674             break;
675         default:
676             fusion->trustedMagDuration = 0; // by default it is disable
677             break;
678     }
679 }
680 
fusionGetAttitude(const struct Fusion * fusion,struct Vec4 * attitude)681 void fusionGetAttitude(const struct Fusion *fusion, struct Vec4 *attitude) {
682     *attitude = fusion->x0;
683 }
684 
fusionGetBias(const struct Fusion * fusion,struct Vec3 * bias)685 void fusionGetBias(const struct Fusion *fusion, struct Vec3 *bias) {
686     *bias = fusion->x1;
687 }
688 
fusionGetRotationMatrix(const struct Fusion * fusion,struct Mat33 * R)689 void fusionGetRotationMatrix(const struct Fusion *fusion, struct Mat33 *R) {
690     quatToMatrix(R, &fusion->x0);
691 }
692