LCOV - code coverage report
Current view: top level - AP_NavEKF3 - AP_NavEKF3_PosVelFusion.cpp (source / functions) Hit Total Coverage
Test: lcov.info Lines: 974 1037 93.9 %
Date: 2026-09-09 11:02:08 Functions: 16 16 100.0 %

          Line data    Source code
       1             : #include <AP_HAL/AP_HAL.h>
       2             : 
       3             : #include "AP_NavEKF3.h"
       4             : #include "AP_NavEKF3_core.h"
       5             : #include <GCS_MAVLink/GCS.h>
       6             : #include <AP_DAL/AP_DAL.h>
       7             : 
       8             : /********************************************************
       9             : *                   RESET FUNCTIONS                     *
      10             : ********************************************************/
      11             : 
      12             : // Reset XY velocity states to last GPS measurement if available or to zero if in constant position mode or if PV aiding is not absolute
      13             : // Do not reset vertical velocity using GPS as there is baro alt available to constrain drift
      14        4930 : void NavEKF3_core::ResetVelocity(resetDataSource velResetSource)
      15             : {
      16             :     // if reset source is not specified then use user defined velocity source
      17        4930 :     if (velResetSource == resetDataSource::DEFAULT) {
      18        3310 :         switch (frontend->sources.getVelXYSource(core_index)) {
      19             :         case AP_NavEKF_Source::SourceXY::GPS:
      20             :             velResetSource = resetDataSource::GPS;
      21             :             break;
      22             :         case AP_NavEKF_Source::SourceXY::BEACON:
      23             :             velResetSource = resetDataSource::RNGBCN;
      24             :             break;
      25             :         case AP_NavEKF_Source::SourceXY::EXTNAV:
      26             :             velResetSource = resetDataSource::EXTNAV;
      27             :             break;
      28             :         case AP_NavEKF_Source::SourceXY::NONE:
      29             :         case AP_NavEKF_Source::SourceXY::OPTFLOW:
      30             :         case AP_NavEKF_Source::SourceXY::WHEEL_ENCODER:
      31             :             // unhandled sources so stick with the default
      32             :             break;
      33             :         }
      34             :     }
      35             : 
      36             :     // reset the corresponding covariances
      37        4930 :     zeroStatesVarCov(4, 5);
      38             : 
      39        4930 :     if (PV_AidingMode != AID_ABSOLUTE) {
      40        3298 :         stateStruct.velocity.xy().zero();
      41             :         // set the variances using the measurement noise parameter
      42        3298 :         P[5][5] = P[4][4] = sq(frontend->_gpsHorizVelNoise);
      43             :     } else {
      44             :         // reset horizontal velocity states to the GPS velocity if available
      45        1632 :         if ((imuSampleTime_ms - lastTimeGpsReceived_ms < 250) && (velResetSource == resetDataSource::DEFAULT || velResetSource == resetDataSource::GPS)) {
      46             :             // correct for antenna position
      47        1608 :             gps_elements gps_corrected = gpsDataNew;
      48        1608 :             CorrectGPSForAntennaOffset(gps_corrected);
      49        1608 :             stateStruct.velocity.x  = gps_corrected.vel.x;
      50        1608 :             stateStruct.velocity.y  = gps_corrected.vel.y;
      51             :             // set the variances using the reported GPS speed accuracy
      52        1608 :             P[5][5] = P[4][4] = sq(MAX(frontend->_gpsHorizVelNoise,gpsSpdAccuracy));
      53             : #if EK3_FEATURE_EXTERNAL_NAV
      54        1632 :         } else if ((imuSampleTime_ms - extNavVelMeasTime_ms < 250) && (velResetSource == resetDataSource::DEFAULT || velResetSource == resetDataSource::EXTNAV)) {
      55             :             // use external nav data as the 2nd preference
      56             :             // already corrected for sensor position
      57           5 :             stateStruct.velocity.x = extNavVelDelayed.vel.x;
      58           5 :             stateStruct.velocity.y = extNavVelDelayed.vel.y;
      59           5 :             P[5][5] = P[4][4] = sq(extNavVelDelayed.err);
      60             : #endif // EK3_FEATURE_EXTERNAL_NAV
      61             :         } else {
      62          19 :             stateStruct.velocity.x  = 0.0f;
      63          19 :             stateStruct.velocity.y  = 0.0f;
      64             :             // set the variances using the likely speed range
      65          19 :             P[5][5] = P[4][4] = sq(25.0f);
      66             :         }
      67             :         // clear the timeout flags and counters
      68        1632 :         velTimeout = false;
      69        1632 :         lastVelPassTime_ms = imuSampleTime_ms;
      70             :     }
      71       49754 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
      72       44824 :         storedOutput[i].velocity.x = stateStruct.velocity.x;
      73       44824 :         storedOutput[i].velocity.y = stateStruct.velocity.y;
      74             :     }
      75        4930 :     outputDataNew.velocity.x = stateStruct.velocity.x;
      76        4930 :     outputDataNew.velocity.y = stateStruct.velocity.y;
      77        4930 :     outputDataDelayed.velocity.x = stateStruct.velocity.x;
      78        4930 :     outputDataDelayed.velocity.y = stateStruct.velocity.y;
      79             : 
      80        4930 : }
      81             : 
      82             : // resets position states to last GPS measurement or to zero if in constant position mode
      83        4997 : void NavEKF3_core::ResetPosition(resetDataSource posResetSource)
      84             : {
      85             :     // if reset source is not specified thenn use the user defined position source
      86        4997 :     if (posResetSource == resetDataSource::DEFAULT) {
      87        3371 :         switch (frontend->sources.getPosXYSource(core_index)) {
      88             :         case AP_NavEKF_Source::SourceXY::GPS:
      89             :             posResetSource = resetDataSource::GPS;
      90             :             break;
      91             :         case AP_NavEKF_Source::SourceXY::BEACON:
      92             :             posResetSource = resetDataSource::RNGBCN;
      93             :             break;
      94             :         case AP_NavEKF_Source::SourceXY::EXTNAV:
      95             :             posResetSource = resetDataSource::EXTNAV;
      96             :             break;
      97             :         case AP_NavEKF_Source::SourceXY::NONE:
      98             :         case AP_NavEKF_Source::SourceXY::OPTFLOW:
      99             :         case AP_NavEKF_Source::SourceXY::WHEEL_ENCODER:
     100             :             // invalid sources so stick with the default
     101             :             break;
     102             :         }
     103             :     }
     104             : 
     105             :     // Store the position before the reset so that we can record the reset delta
     106        4997 :     posResetNE.x = stateStruct.position.x;
     107        4997 :     posResetNE.y = stateStruct.position.y;
     108             : 
     109             :     // reset the corresponding covariances
     110        4997 :     zeroStatesVarCov(7, 8);
     111             : 
     112        4997 :     if (PV_AidingMode != AID_ABSOLUTE) {
     113             :         // reset all position state history to the last known position
     114        3298 :         stateStruct.position.x = lastKnownPositionNE.x;
     115        3298 :         stateStruct.position.y = lastKnownPositionNE.y;
     116             :         // set the variances using the position measurement noise parameter
     117        3298 :         P[7][7] = P[8][8] = sq(frontend->_gpsHorizPosNoise);
     118             :     } else  {
     119             :         // Use GPS data as first preference if fresh data is available
     120        1699 :         if ((imuSampleTime_ms - lastTimeGpsReceived_ms < 250) && (posResetSource == resetDataSource::DEFAULT || posResetSource == resetDataSource::GPS)) {
     121             :             // correct for antenna position
     122        1676 :             gps_elements gps_corrected = gpsDataNew;
     123        1676 :             CorrectGPSForAntennaOffset(gps_corrected);
     124             :             // record the ID of the GPS for the data we are using for the reset
     125        1676 :             last_gps_idx = gps_corrected.sensor_idx;
     126             :             // calculate position
     127        1676 :             const Location gpsloc{gps_corrected.lat, gps_corrected.lng, 0, Location::AltFrame::ABSOLUTE};
     128        1676 :             stateStruct.position.xy() = EKF_origin.get_distance_NE_ftype(gpsloc);
     129             :             // compensate for offset  between last GPS measurement and the EKF time horizon. Note that this is an unusual
     130             :             // time delta in that it can be both -ve and +ve
     131        1676 :             const int32_t tdiff = imuDataDelayed.time_ms - gps_corrected.time_ms;
     132        1676 :             stateStruct.position.xy() += gps_corrected.vel.xy()*0.001*tdiff;
     133             :             // set the variances using the position measurement noise parameter
     134        1676 :             P[7][7] = P[8][8] = sq(MAX(gpsPosAccuracy,frontend->_gpsHorizPosNoise));
     135             : #if EK3_FEATURE_BEACON_FUSION
     136        1699 :         } else if ((imuSampleTime_ms - rngBcn.last3DmeasTime_ms < 250) && (posResetSource == resetDataSource::DEFAULT || posResetSource == resetDataSource::RNGBCN)) {
     137             :             // use the range beacon data as a second preference
     138           6 :             stateStruct.position.x = rngBcn.receiverPos.x;
     139           6 :             stateStruct.position.y = rngBcn.receiverPos.y;
     140             :             // set the variances from the beacon alignment filter
     141           6 :             P[7][7] = rngBcn.receiverPosCov[0][0];
     142           6 :             P[8][8] = rngBcn.receiverPosCov[1][1];
     143             : #endif
     144             : #if EK3_FEATURE_EXTERNAL_NAV
     145          17 :         } else if ((imuSampleTime_ms - extNavDataDelayed.time_ms < 250) && (posResetSource == resetDataSource::DEFAULT || posResetSource == resetDataSource::EXTNAV)) {
     146             :             // use external nav data as the third preference
     147           5 :             stateStruct.position.x = extNavDataDelayed.pos.x;
     148           5 :             stateStruct.position.y = extNavDataDelayed.pos.y;
     149             :             // set the variances as received from external nav system data
     150           5 :             P[7][7] = P[8][8] = sq(extNavDataDelayed.posErr);
     151             : #endif // EK3_FEATURE_EXTERNAL_NAV
     152             :         }
     153             :     }
     154       50424 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
     155       45427 :         storedOutput[i].position.x = stateStruct.position.x;
     156       45427 :         storedOutput[i].position.y = stateStruct.position.y;
     157             :     }
     158        4997 :     outputDataNew.position.x = stateStruct.position.x;
     159        4997 :     outputDataNew.position.y = stateStruct.position.y;
     160        4997 :     outputDataDelayed.position.x = stateStruct.position.x;
     161        4997 :     outputDataDelayed.position.y = stateStruct.position.y;
     162             : 
     163             :     // Calculate the position jump due to the reset
     164        4997 :     posResetNE.x = stateStruct.position.x - posResetNE.x;
     165        4997 :     posResetNE.y = stateStruct.position.y - posResetNE.y;
     166             : 
     167        4997 :     posNEResetCount++;
     168             : 
     169             :     // clear the timeout flags and counters
     170        4997 :     posTimeout = false;
     171        4997 :     lastGpsPosPassTime_ms = imuSampleTime_ms;
     172        4997 : }
     173             : 
     174             : #if EK3_FEATURE_POSITION_RESET
     175             : // Sets the EKF's NE horizontal position states and their corresponding variances from a supplied WGS-84 location and optionally uncertainty
     176             : // The altitude element of the location is not used. If accuracy is not known should be passed as NaN.
     177             : // Returns true if the set was successful
     178           4 : bool NavEKF3_core::setLatLng(const Location &loc, float posAccuracy, uint32_t timestamp_ms)
     179             : {
     180           4 :     if ((imuSampleTime_ms - lastGpsPosPassTime_ms) < frontend->deadReckonDeclare_ms ||
     181           2 :         (PV_AidingMode == AID_NONE)
     182           2 :         || !validOrigin) {
     183             :         return false;
     184             :     }
     185             : 
     186             :     // Store the position before the reset so that we can record the reset delta
     187           2 :     posResetNE.x = stateStruct.position.x;
     188           2 :     posResetNE.y = stateStruct.position.y;
     189             : 
     190             :     // reset the corresponding covariances
     191           2 :     zeroStatesVarCov(7, 8);
     192             : 
     193             :     // handle unknown accuracy
     194           2 :     if (isnan(posAccuracy)) {
     195           0 :         posAccuracy = 0.0f; // will be ignored due to MAX below
     196             :     }
     197             : 
     198             :     // set the variances using the position measurement noise parameter
     199           2 :     P[7][7] = P[8][8] = sq(MAX(posAccuracy,frontend->_gpsHorizPosNoise));
     200             : 
     201             :     // Correct the position for time delay relative to fusion time horizon assuming a constant velocity
     202             :     // Limit time stamp to a range between current time and 5 seconds ago
     203           2 :     const uint32_t timeStampConstrained_ms = MAX(MIN(timestamp_ms, imuSampleTime_ms), imuSampleTime_ms - 5000);
     204           2 :     const int32_t delta_ms = int32_t(imuDataDelayed.time_ms - timeStampConstrained_ms);
     205           2 :     const ftype delaySec = 1E-3F * ftype(delta_ms);
     206           2 :     const Vector2F newPosNE = EKF_origin.get_distance_NE_ftype(loc) + stateStruct.velocity.xy() * delaySec;
     207           2 :     ResetPositionNE(newPosNE.x,newPosNE.y);
     208             : 
     209           2 :     return true;
     210             : }
     211             : #endif // EK3_FEATURE_POSITION_RESET
     212             : 
     213             : 
     214             : // reset the stateStruct's NE position to the specified position
     215             : //    posResetNE is updated to hold the change in position
     216             : //    storedOutput, outputDataNew and outputDataDelayed are updated with the change in position
     217             : //    posNEResetCount is incremented to record the reset
     218          22 : void NavEKF3_core::ResetPositionNE(ftype posN, ftype posE)
     219             : {
     220             :     // Store the position before the reset so that we can record the reset delta
     221          22 :     const Vector3F posOrig = stateStruct.position;
     222             : 
     223             :     // Set the position states to the new position
     224          22 :     stateStruct.position.x = posN;
     225          22 :     stateStruct.position.y = posE;
     226             : 
     227             :     // Calculate the position offset due to the reset
     228          22 :     posResetNE.x = stateStruct.position.x - posOrig.x;
     229          22 :     posResetNE.y = stateStruct.position.y - posOrig.y;
     230             : 
     231             :     // Add the offset to the output observer states
     232         205 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
     233         183 :         storedOutput[i].position.x += posResetNE.x;
     234         183 :         storedOutput[i].position.y += posResetNE.y;
     235             :     }
     236          22 :     outputDataNew.position.x += posResetNE.x;
     237          22 :     outputDataNew.position.y += posResetNE.y;
     238          22 :     outputDataDelayed.position.x += posResetNE.x;
     239          22 :     outputDataDelayed.position.y += posResetNE.y;
     240             : 
     241          22 :     posNEResetCount++;
     242          22 : }
     243             : 
     244             : // reset the stateStruct's D position
     245             : //    posResetD is updated to hold the change in position
     246             : //    storedOutput, outputDataNew and outputDataDelayed are updated with the change in position
     247             : //    posDResetCount is incremented to record the reset
     248          27 : void NavEKF3_core::ResetPositionD(ftype posD)
     249             : {
     250             :     // Store the position before the reset so that we can record the reset delta
     251          27 :     const ftype posDOrig = stateStruct.position.z;
     252             : 
     253             :     // write to the state vector
     254          27 :     stateStruct.position.z = posD;
     255             : 
     256             :     // Calculate the position jump due to the reset
     257          27 :     posResetD = stateStruct.position.z - posDOrig;
     258             : 
     259             :     // Add the offset to the output observer states
     260          27 :     outputDataNew.position.z += posResetD;
     261          27 :     vertCompFiltState.pos = outputDataNew.position.z;
     262          27 :     outputDataDelayed.position.z += posResetD;
     263         252 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
     264         225 :         storedOutput[i].position.z += posResetD;
     265             :     }
     266             : 
     267          27 :     posDResetCount++;
     268          27 : }
     269             : 
     270             : // reset the vertical position state using the last height measurement
     271        3198 : void NavEKF3_core::ResetHeight(void)
     272             : {
     273             :     // Store the position before the reset so that we can record the reset delta
     274        3198 :     posResetD = stateStruct.position.z;
     275             : 
     276             :     // write to the state vector
     277        3198 :     stateStruct.position.z = -hgtMea;
     278        3198 :     outputDataNew.position.z = stateStruct.position.z;
     279        3198 :     outputDataDelayed.position.z = stateStruct.position.z;
     280             : 
     281             :     // reset the terrain state height
     282        3198 :     if (onGround) {
     283             :         // assume vehicle is sitting on the ground
     284        3198 :         terrainState = stateStruct.position.z + rngOnGnd;
     285             :     } else {
     286             :         // can make no assumption other than vehicle is not below ground level
     287           0 :         terrainState = MAX(stateStruct.position.z + rngOnGnd , terrainState);
     288             :     }
     289       32258 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
     290       29060 :         storedOutput[i].position.z = stateStruct.position.z;
     291             :     }
     292        3198 :     vertCompFiltState.pos = stateStruct.position.z;
     293             : 
     294             :     // Calculate the position jump due to the reset
     295        3198 :     posResetD = stateStruct.position.z - posResetD;
     296             : 
     297        3198 :     posDResetCount++;
     298             : 
     299             :     // clear the timeout flags and counters
     300        3198 :     hgtTimeout = false;
     301        3198 :     lastHgtPassTime_ms = imuSampleTime_ms;
     302             : 
     303             :     // reset the corresponding covariances
     304        3198 :     zeroStatesVarCov(9, 9);
     305             : 
     306             :     // set the variances to the measurement variance
     307        3198 :     P[9][9] = posDownObsNoise;
     308             : 
     309             :     // Reset the vertical velocity state using GPS vertical velocity if we are airborne
     310             :     // Check that GPS vertical velocity data is available and can be used
     311        3198 :     if (inFlight &&
     312           0 :         (gpsIsInUse || badIMUdata) &&
     313           0 :         frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::GPS, core_index) &&
     314        3198 :         gpsDataNew.have_vz &&
     315           0 :         (imuSampleTime_ms - gpsDataDelayed.time_ms < 500)) {
     316           0 :         stateStruct.velocity.z =  gpsDataNew.vel.z;
     317             : #if EK3_FEATURE_EXTERNAL_NAV
     318        3198 :     } else if (inFlight && useExtNavVel && (activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV)) {
     319           0 :         stateStruct.velocity.z = extNavVelDelayed.vel.z;
     320             : #endif
     321        3198 :     } else if (onGround) {
     322        3198 :         stateStruct.velocity.z = 0.0f;
     323             :     }
     324       32258 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
     325       29060 :         storedOutput[i].velocity.z = stateStruct.velocity.z;
     326             :     }
     327        3198 :     outputDataNew.velocity.z = stateStruct.velocity.z;
     328        3198 :     outputDataDelayed.velocity.z = stateStruct.velocity.z;
     329        3198 :     vertCompFiltState.vel = outputDataNew.velocity.z;
     330             : 
     331             :     // reset the corresponding covariances
     332        3198 :     zeroStatesVarCov(6, 6);
     333             : 
     334             :     // set the variances to the measurement variance
     335             : #if EK3_FEATURE_EXTERNAL_NAV
     336        3198 :     if (useExtNavVel) {
     337           7 :         P[6][6] = sq(extNavVelDelayed.err);
     338             :     } else
     339             : #endif
     340             :     {
     341        3191 :         P[6][6] = sq(frontend->_gpsVertVelNoise);
     342             :     }
     343        3198 :     vertVelVarClipCounter = 0;
     344        3198 : }
     345             : 
     346             : // Zero the EKF height datum
     347             : // Return true if the height datum reset has been performed
     348        5885 : bool NavEKF3_core::resetHeightDatum(void)
     349             : {
     350        5885 :     if (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER || !onGround) {
     351             :         // only allow resets when on the ground.
     352             :         // If using using rangefinder for height then never perform a
     353             :         // reset of the height datum
     354             :         return false;
     355             :     }
     356             :     // record the old height estimate
     357        5283 :     ftype oldHgt = -stateStruct.position.z;
     358             :     // reset the barometer so that it reads zero at the current height
     359        5283 :     dal.baro().update_calibration();
     360             : 
     361             :     // clear the baro data buffer
     362        5283 :     storedBaro.reset();
     363             : 
     364             :     // reset the vertical position and velocity states
     365        5283 :     stateStruct.position.z = 0.0f;
     366        5283 :     stateStruct.velocity.z = 0.0f;
     367       53235 :     for (uint8_t i=0; i<imu_buffer_length; i++) {
     368       47952 :         storedOutput[i].position.z = stateStruct.position.z;
     369       47952 :         storedOutput[i].velocity.z = stateStruct.velocity.z;
     370             :     }
     371        5283 :     outputDataNew.position.z = outputDataDelayed.position.z = stateStruct.position.z;
     372        5283 :     outputDataNew.velocity.z = outputDataDelayed.velocity.z = stateStruct.velocity.z;
     373        5283 :     vertCompFiltState.vel = outputDataNew.velocity.z;
     374             : 
     375             :     // baroHgtOffset is a slow first-order filter (calcFiltBaroOffset)
     376             :     // tracking baroDataDelayed.hgt + position.z.  Post-reset baro
     377             :     // reads 0 and position.z is 0 so the steady-state offset is 0;
     378             :     // without this, hgtMea = baroDataDelayed.hgt - baroHgtOffset
     379             :     // would feed a non-zero observation into the EKF for the ~1 s
     380             :     // the filter takes to relax, producing a post-reset altitude
     381             :     // transient.
     382        5283 :     baroHgtOffset = 0.0f;
     383             : 
     384             :     // adjust the height of the EKF origin so that the origin plus baro height before and after the reset is the same
     385        5283 :     if (validOrigin) {
     386        4121 :         if (!gpsGoodToAlign) {
     387             :             // if we don't have GPS lock then we shouldn't be doing a
     388             :             // resetHeightDatum, but if we do then the best option is
     389             :             // to maintain the old error
     390         319 :             EKF_origin.alt += (int32_t)(100.0f * oldHgt);
     391             :         } else {
     392             :             // if we have a good GPS lock then reset to the GPS
     393             :             // altitude. This ensures the reported AMSL alt from
     394             :             // getLLH() is equal to GPS altitude, while also ensuring
     395             :             // that the relative alt is zero
     396        3802 :             EKF_origin.copy_alt_from(dal.gps().location());
     397             :         }
     398        4121 :         ekfGpsRefHgt = (double)0.01 * (double)EKF_origin.alt;
     399             :     }
     400             : 
     401             :     // set the terrain state to zero (on ground). The adjustment for
     402             :     // frame height will get added in the later constraints
     403        5283 :     terrainState = 0;
     404             : 
     405        5283 :     return true;
     406             : }
     407             : 
     408             : /*
     409             :   correct GPS data for position offset of antenna phase centre relative to the IMU
     410             :  */
     411     1251656 : void NavEKF3_core::CorrectGPSForAntennaOffset(gps_elements &gps_data) const
     412             : {
     413             :     // return immediately if already corrected
     414     1251656 :     if (gps_data.corrected) {
     415     1246390 :         return;
     416             :     }
     417     1251656 :     gps_data.corrected = true;
     418             : 
     419     1251656 :     const Vector3F posOffsetBody = dal.gps().get_antenna_offset(gps_data.sensor_idx).toftype() - accelPosOffset;
     420     1251656 :     if (posOffsetBody.is_zero()) {
     421             :         return;
     422             :     }
     423             : 
     424             :     // TODO use a filtered angular rate with a group delay that matches the GPS delay
     425        5266 :     Vector3F angRate = imuDataDelayed.delAng * (1.0f/imuDataDelayed.delAngDT);
     426        5266 :     Vector3F velOffsetBody = angRate % posOffsetBody;
     427        5266 :     Vector3F velOffsetEarth = prevTnb.mul_transpose(velOffsetBody);
     428        5266 :     gps_data.vel -= velOffsetEarth;
     429             : 
     430        5266 :     Vector3F posOffsetEarth = prevTnb.mul_transpose(posOffsetBody);
     431        5266 :     Location::offset_latlng(gps_data.lat, gps_data.lng, -posOffsetEarth.x, -posOffsetEarth.y);
     432        5266 :     gps_data.hgt += posOffsetEarth.z;
     433             : }
     434             : 
     435             : // correct external navigation earth-frame position using sensor body-frame offset
     436       17877 : void NavEKF3_core::CorrectExtNavForSensorOffset(ext_nav_elements &ext_nav_data)
     437             : {
     438             :     // return immediately if already corrected
     439       17877 :     if (ext_nav_data.corrected) {
     440       17877 :         return;
     441             :     }
     442       17877 :     ext_nav_data.corrected = true;
     443             : 
     444             :     // external nav data is against the public_origin, so convert to offset from EKF_origin
     445       17877 :     ext_nav_data.pos.xy() += EKF_origin.get_distance_NE_ftype(public_origin);
     446             : 
     447             : #if HAL_VISUALODOM_ENABLED
     448       17877 :     const auto *visual_odom = dal.visualodom();
     449       17877 :     if (visual_odom == nullptr) {
     450             :         return;
     451             :     }
     452       17877 :     const Vector3F posOffsetBody = visual_odom->get_pos_offset().toftype() - accelPosOffset;
     453       17877 :     if (posOffsetBody.is_zero()) {
     454             :         return;
     455             :     }
     456           0 :     Vector3F posOffsetEarth = prevTnb.mul_transpose(posOffsetBody);
     457           0 :     ext_nav_data.pos.x -= posOffsetEarth.x;
     458           0 :     ext_nav_data.pos.y -= posOffsetEarth.y;
     459           0 :     ext_nav_data.pos.z -= posOffsetEarth.z;
     460             : #endif
     461             : }
     462             : 
     463             : // correct external navigation earth-frame velocity using sensor body-frame offset
     464        8299 : void NavEKF3_core::CorrectExtNavVelForSensorOffset(ext_nav_vel_elements &ext_nav_vel_data) const
     465             : {
     466             :     // return immediately if already corrected
     467        8299 :     if (ext_nav_vel_data.corrected) {
     468        8299 :         return;
     469             :     }
     470        8299 :     ext_nav_vel_data.corrected = true;
     471             : 
     472             : #if HAL_VISUALODOM_ENABLED
     473        8299 :     const auto *visual_odom = dal.visualodom();
     474        8299 :     if (visual_odom == nullptr) {
     475             :         return;
     476             :     }
     477        8299 :     const Vector3F posOffsetBody = visual_odom->get_pos_offset().toftype() - accelPosOffset;
     478        8299 :     if (posOffsetBody.is_zero()) {
     479             :         return;
     480             :     }
     481             :     // TODO use a filtered angular rate with a group delay that matches the sensor delay
     482           0 :     const Vector3F angRate = imuDataDelayed.delAng * (1.0/imuDataDelayed.delAngDT);
     483           0 :     ext_nav_vel_data.vel += get_vel_correction_for_sensor_offset(posOffsetBody, prevTnb, angRate);
     484             : #endif
     485             : }
     486             : 
     487             : // calculate velocity variance helper function
     488     1256671 : void NavEKF3_core::CalculateVelInnovationsAndVariances(const Vector3F &velocity, ftype noise, ftype accel_scale, Vector3F &innovations, Vector3F &variances) const
     489             : {
     490             :     // innovations are latest estimate - latest observation
     491     1256671 :     innovations = stateStruct.velocity - velocity;
     492             : 
     493     1256671 :     const ftype obs_data_chk = sq(constrain_ftype(noise, 0.05, 5.0)) + sq(accel_scale * accNavMag);
     494             : 
     495             :     // calculate innovation variance.  velocity states start at index 4
     496     1256671 :     variances.x = P[4][4] + obs_data_chk;
     497     1256671 :     variances.y = P[5][5] + obs_data_chk;
     498     1256671 :     variances.z = P[6][6] + obs_data_chk;
     499     1256671 : }
     500             : 
     501             : /********************************************************
     502             : *                   FUSE MEASURED_DATA                  *
     503             : ********************************************************/
     504             : // select fusion of velocity, position and height measurements
     505    19965274 : void NavEKF3_core::SelectVelPosFusion()
     506             : {
     507             :     // Check if the magnetometer has been fused on that time step and the filter is running at faster than 200 Hz
     508             :     // If so, don't fuse measurements on this time step to reduce frame over-runs
     509             :     // Only allow one time slip to prevent high rate magnetometer data preventing fusion of other measurements
     510    19965274 :     if (magFusePerformed && dtIMUavg < 0.005f && !posVelFusionDelayed) {
     511     1204036 :         posVelFusionDelayed = true;
     512     1204036 :         return;
     513             :     } else {
     514    18761238 :         posVelFusionDelayed = false;
     515             :     }
     516             : 
     517             : #if EK3_FEATURE_EXTERNAL_NAV
     518             :     // Check for data at the fusion time horizon
     519    18761238 :     extNavDataToFuse = storedExtNav.recall(extNavDataDelayed, imuDataDelayed.time_ms);
     520    18761238 :     if (extNavDataToFuse) {
     521       17877 :         CorrectExtNavForSensorOffset(extNavDataDelayed);
     522             :     }
     523    18761238 :     extNavVelToFuse = storedExtNavVel.recall(extNavVelDelayed, imuDataDelayed.time_ms);
     524    18761238 :     if (extNavVelToFuse) {
     525        8299 :         CorrectExtNavVelForSensorOffset(extNavVelDelayed);
     526             : 
     527             :         // calculate innovations and variances for reporting purposes only
     528        8299 :         CalculateVelInnovationsAndVariances(extNavVelDelayed.vel, extNavVelDelayed.err, frontend->extNavVelVarAccScale, extNavVelInnov, extNavVelVarInnov);
     529             : 
     530             :         // record time innovations were calculated (for timeout checks)
     531        8299 :         extNavVelInnovTime_ms = dal.millis();
     532             :     }
     533             : #endif // EK3_FEATURE_EXTERNAL_NAV
     534             : 
     535             :     // Read GPS data from the sensor
     536    18761238 :     readGpsData();
     537    18761238 :     readGpsYawData();
     538             : 
     539             :     // get data that has now fallen behind the fusion time horizon
     540    18761238 :     gpsDataToFuse = storedGPS.recall(gpsDataDelayed,imuDataDelayed.time_ms) && !waitingForGpsChecks;
     541             : 
     542    18761238 :     if (gpsDataToFuse) {
     543     1248372 :         CorrectGPSForAntennaOffset(gpsDataDelayed);
     544             :         // calculate innovations and variances for reporting purposes only
     545     1248372 :         CalculateVelInnovationsAndVariances(gpsDataDelayed.vel, frontend->_gpsHorizVelNoise.get(), frontend->gpsNEVelVarAccScale, gpsVelInnov, gpsVelVarInnov);
     546             :         // record time GPS data was retrieved from the buffer (for timeout checks)
     547     1248372 :         gpsRetrieveTime_ms = dal.millis();
     548             :     }
     549             : 
     550             :     // detect position source changes.  Trigger position reset if position source is valid
     551    18761238 :     const AP_NavEKF_Source::SourceXY posxy_source = frontend->sources.getPosXYSource(core_index);
     552    18761238 :     if (posxy_source != posxy_source_last) {
     553          84 :         posxy_source_reset = (posxy_source != AP_NavEKF_Source::SourceXY::NONE);
     554          84 :         posxy_source_last = posxy_source;
     555             :     }
     556             : 
     557             :     // initialise all possible data we may fuse
     558    18761238 :     fusePosData = false;
     559    18761238 :     fuseVelData = false;
     560             : 
     561             :     // Determine if we need to fuse position and velocity data on this time step
     562    18761238 :     if (gpsDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::GPS)) {
     563             : 
     564             :         // Don't fuse velocity data if GPS doesn't support it
     565     1118207 :         fuseVelData = frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::GPS, core_index);
     566     1118207 :         fuseVelVertData = frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::GPS, core_index) && useGpsVertVel;
     567     1118207 :         fusePosData = true;
     568             : #if EK3_FEATURE_EXTERNAL_NAV
     569     1118207 :         extNavUsedForPos = false;
     570             : #endif
     571             : 
     572             :         // copy corrected GPS data to observation vector
     573     1118207 :         if (fuseVelData) {
     574     1117840 :             velPosObs[0] = gpsDataDelayed.vel.x;
     575     1117840 :             velPosObs[1] = gpsDataDelayed.vel.y;
     576             :         }
     577     1118207 :         if (fuseVelVertData) {
     578     1081465 :             velPosObs[2] = gpsDataDelayed.vel.z;
     579             :         }
     580     1118207 :         const Location gpsloc{gpsDataDelayed.lat, gpsDataDelayed.lng, 0, Location::AltFrame::ABSOLUTE};
     581     1118207 :         const Vector2F posxy = EKF_origin.get_distance_NE_ftype(gpsloc);
     582     1118207 :         velPosObs[3] = posxy.x;
     583     1118207 :         velPosObs[4] = posxy.y;
     584             : #if EK3_FEATURE_EXTERNAL_NAV
     585    18761238 :     } else if (extNavDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::EXTNAV)) {
     586             :         // use external nav system for horizontal position
     587       12170 :         extNavUsedForPos = true;
     588       12170 :         fusePosData = true;
     589       12170 :         velPosObs[3] = extNavDataDelayed.pos.x;
     590       12170 :         velPosObs[4] = extNavDataDelayed.pos.y;
     591             : #endif // EK3_FEATURE_EXTERNAL_NAV
     592             :     }
     593             : 
     594             : #if EK3_FEATURE_EXTERNAL_NAV
     595             :     // fuse external navigation velocity data if available
     596             :     // extNavVelDelayed is already corrected for sensor position
     597    18761238 :     if (extNavVelToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::EXTNAV, core_index)) {
     598        6322 :         fuseVelData = true;
     599        6322 :         velPosObs[0] = extNavVelDelayed.vel.x;
     600        6322 :         velPosObs[1] = extNavVelDelayed.vel.y;
     601             :     }
     602    18761238 :     if (extNavVelToFuse && frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::EXTNAV, core_index)) {
     603        4447 :         fuseVelVertData = true;
     604        4447 :         velPosObs[2] = extNavVelDelayed.vel.z;
     605             :     }
     606             : #endif
     607             : 
     608             :     // we have GPS data to fuse and a request to align the yaw using the GPS course
     609    18761238 :     if (gpsYawResetRequest) {
     610        3652 :         realignYawGPS(false);
     611             :     }
     612             : 
     613             :     // Select height data to be fused from the available baro, range finder and GPS sources
     614    18761238 :     selectHeightForFusion();
     615             : 
     616             :     // if we are using GPS, check for a change in receiver and reset position and height
     617    18761238 :     if (gpsDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::GPS) && (gpsDataDelayed.sensor_idx != last_gps_idx || posxy_source_reset)) {
     618             :         // mark a source reset as consumed
     619          18 :         posxy_source_reset = false;
     620             : 
     621             :         // record the ID of the GPS that we are using for the reset
     622          18 :         last_gps_idx = gpsDataDelayed.sensor_idx;
     623             : 
     624             :         // reset the position to the GPS position
     625          18 :         const Location gpsloc{gpsDataDelayed.lat, gpsDataDelayed.lng, 0, Location::AltFrame::ABSOLUTE};
     626          18 :         const Vector2F posxy = EKF_origin.get_distance_NE_ftype(gpsloc);
     627          18 :         ResetPositionNE(posxy.x, posxy.y);
     628             : 
     629             :         // If we are also using GPS as the height reference, reset the height
     630          18 :         if (activeHgtSource == AP_NavEKF_Source::SourceZ::GPS) {
     631           0 :             ResetPositionD(-hgtMea);
     632             :         }
     633             :     }
     634             : 
     635             : #if EK3_FEATURE_EXTERNAL_NAV
     636             :     // check for external nav position reset
     637    18761238 :     if (extNavDataToFuse && (PV_AidingMode == AID_ABSOLUTE) && (posxy_source == AP_NavEKF_Source::SourceXY::EXTNAV) && (extNavDataDelayed.posReset || posxy_source_reset)) {
     638             :         // mark a source reset as consumed
     639           2 :         posxy_source_reset = false;
     640           2 :         ResetPositionNE(extNavDataDelayed.pos.x, extNavDataDelayed.pos.y);
     641           2 :         if (activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV) {
     642           2 :             ResetPositionD(-hgtMea);
     643             :         }
     644             :     }
     645             : #endif // EK3_FEATURE_EXTERNAL_NAV
     646             : 
     647             :     // If we are operating without any aiding, fuse in constant position of constant
     648             :     // velocity measurements to constrain tilt drift. This assumes a non-manoeuvring
     649             :     // vehicle. Do this to coincide with the height fusion.
     650    18761238 :     fusingStationaryZeroVel = false;
     651             : 
     652    18761238 :     if (fuseHgtData && PV_AidingMode == AID_NONE) {
     653      542374 :         if (assume_zero_sideslip() && tiltAlignComplete && motorsArmed) {
     654             :             // handle special case where we are launching a FW aircraft without magnetometer
     655         640 :             fusePosData = false;
     656         640 :             velPosObs[0] = 0.0f;
     657         640 :             velPosObs[1] = 0.0f;
     658         640 :             velPosObs[2] = stateStruct.velocity.z;
     659         640 :             bool resetVelNE = !prevMotorsArmed;
     660             :             // reset states to stop launch accel causing tilt error
     661         640 :             if  (imuDataDelayed.delVel.x > 1.1f * GRAVITY_MSS * imuDataDelayed.delVelDT) {
     662         140 :                 lastLaunchAccelTime_ms = imuSampleTime_ms;
     663         140 :                 fuseVelData = false;
     664         140 :                 fuseVelVertData = false;
     665             :                 resetVelNE = true;
     666         500 :             } else if (lastLaunchAccelTime_ms != 0 && (imuSampleTime_ms - lastLaunchAccelTime_ms) < 10000) {
     667         350 :                 fuseVelData = false;
     668         350 :                 fuseVelVertData = false;
     669             :                 resetVelNE = true;
     670             :             } else {
     671         150 :                 fuseVelData = true;
     672         150 :                 fuseVelVertData = true;
     673             :             }
     674         150 :             if (resetVelNE) {
     675         490 :                 stateStruct.velocity.x = 0.0f;
     676         490 :                 stateStruct.velocity.y = 0.0f;
     677             :             }
     678             :         } else {
     679      541734 :             fusePosData = true;
     680             :             // When stationary on ground, fuse zero velocity
     681             :             // to constrain gyro bias and Z-axis accel bias learning. XY accel biases
     682             :             // remain unobservable until the vehicle accelerates and are separately
     683             :             // inhibited by dvelBiasAxisInhibit in CovariancePrediction.
     684             :             // Use onGroundNotMoving to avoid fusing zero velocity when the vehicle
     685             :             // is being moved (e.g. on a boat or carried by hand).
     686      541734 :             const bool onGroundNotFlying = onGroundNotMoving;
     687      541734 :             if (onGroundNotFlying && tiltAlignComplete) {
     688      453006 :                 fuseVelData = true;
     689      453006 :                 fusingStationaryZeroVel = true;
     690      453006 :                 velPosObs[0] = 0.0f;
     691      453006 :                 velPosObs[1] = 0.0f;
     692      453006 :                 velPosObs[2] = 0.0f;
     693             :             } else {
     694       88728 :                 fuseVelData = false;
     695             :             }
     696      541734 :             velPosObs[3] = lastKnownPositionNE.x;
     697      541734 :             velPosObs[4] = lastKnownPositionNE.y;
     698             :         }
     699             :     }
     700             : 
     701             :     // When in AID_RELATIVE or AID_ABSOLUTE mode but stationary on ground without velocity
     702             :     // aiding, fuse synthetic zero velocity to constrain gyro bias and Z-axis accel bias
     703             :     // learning. XY accel biases are unobservable on the ground and are inhibited by
     704             :     // dvelBiasAxisInhibit. Without this, configurations like optical flow where
     705             :     // PV_AidingMode is AID_RELATIVE but no velocity data is available when stationary
     706             :     // have no velocity observations at all, causing unchecked bias drift. The timeout
     707             :     // check on each velocity source ensures we only inject zero velocity when no real
     708             :     // sensor data is being fused. Use onGroundNotMoving to avoid injecting zero velocity
     709             :     // when the vehicle is being moved, and takeoff_expected for armed-on-ground.
     710             :     // Gate behind fuseHgtData to limit fusion rate to baro rate (~10Hz) and avoid
     711             :     // overconstraining the filter by fusing at IMU rate.
     712    18761238 :     const bool onGroundNotFlying = onGroundNotMoving;
     713             : 
     714    18761238 :     if (fuseHgtData && PV_AidingMode != AID_NONE && onGroundNotFlying) {
     715             :         // Check if we have recent velocity aiding from any source
     716             :         const uint32_t velAidTimeout_ms = 1000;
     717      319230 :         const bool haveRecentGpsVel = (imuSampleTime_ms - lastVelPassTime_ms < velAidTimeout_ms);
     718             : #if EK3_FEATURE_OPTFLOW_FUSION
     719      319230 :         const bool haveRecentFlowVel = (imuSampleTime_ms - prevFlowFuseTime_ms < velAidTimeout_ms);
     720             : #else
     721             :         const bool haveRecentFlowVel = false;
     722             : #endif
     723      319230 :         const bool haveRecentBodyVel = (imuSampleTime_ms - prevBodyVelFuseTime_ms < velAidTimeout_ms);
     724             : 
     725      319230 :         if (!haveRecentGpsVel && !haveRecentFlowVel && !haveRecentBodyVel) {
     726             :             // No velocity aiding available while stationary - fuse synthetic zero velocity
     727             :             // to constrain gyro bias and gravity-aligned accel bias
     728         694 :             fuseVelData = true;
     729         694 :             fusingStationaryZeroVel = true;
     730         694 :             velPosObs[0] = 0.0f;
     731         694 :             velPosObs[1] = 0.0f;
     732         694 :             velPosObs[2] = 0.0f;
     733             :         }
     734             :     }
     735             : 
     736             :     // perform fusion
     737    18761238 :     if (fuseVelData|| fuseVelVertData || fusePosData || fuseHgtData) {
     738     3837832 :         FuseVelPosNED();
     739             :         // clear the flags to prevent repeated fusion of the same data
     740     3837832 :         fuseVelData = false;
     741     3837832 :         fuseVelVertData = false;
     742     3837832 :         fuseHgtData = false;
     743     3837832 :         fusePosData = false;
     744             :     }
     745             : }
     746             : 
     747             : // fuse selected position, velocity and height measurements
     748     3837832 : void NavEKF3_core::FuseVelPosNED()
     749             : {
     750             :     // declare variables used to control access to arrays
     751     3837832 :     bool fuseData[6] {};
     752             :     uint8_t stateIndex;
     753             :     uint8_t obsIndex;
     754             : 
     755             :     // declare variables used by state and covariance update calculations
     756             :     Vector6 R_OBS; // Measurement variances used for fusion
     757             :     Vector6 R_OBS_DATA_CHECKS; // Measurement variances used for data checks only
     758             :     ftype SK;
     759             : 
     760             :     // perform sequential fusion of measurements. This assumes that the
     761             :     // errors in the different velocity and position components are
     762             :     // uncorrelated which is not true, however in the absence of covariance
     763             :     // data from sensors like GPS receivers; it is the only assumption we can make
     764             :     // so we might as well take advantage of the computational efficiencies
     765             :     // associated with sequential fusion
     766     3837832 :     if (fuseVelData || fuseVelVertData || fusePosData || fuseHgtData) {
     767             :         // estimate the velocity, horiz position and height measurement variances.
     768             :         // Use different errors if operating without external aiding using an assumed position or velocity of zero
     769     3837832 :         if (PV_AidingMode == AID_NONE) {
     770      542386 :             if (fusingStationaryZeroVel) {
     771             :                 // Synthetic zero velocity on ground: use 1 m/s noise (variance = 1 m^2/s^2).
     772             :                 // This is tighter than _noaidHorizNoise (default 10 m/s) used when armed,
     773             :                 // giving stronger velocity/bias convergence while we have high confidence
     774             :                 // the vehicle is stationary. Not as tight as a real sensor since
     775             :                 // the measurement is an assumption, not a physical observation.
     776      453006 :                 R_OBS[0] = sq(MIN(frontend->_noaidHorizNoise, 1.0f));
     777       89380 :             } else if (tiltAlignComplete && motorsArmed) {
     778             :                 // This is a compromise between corrections for gyro errors and reducing effect of manoeuvre accelerations on tilt estimate
     779       42462 :                 R_OBS[0] = sq(constrain_ftype(frontend->_noaidHorizNoise, 0.5f, 50.0f));
     780             :             } else {
     781             :                 // Use a smaller value to give faster initial alignment
     782       46918 :                 R_OBS[0] = sq(0.5f);
     783             :             }
     784      542386 :             R_OBS[1] = R_OBS[0];
     785      542386 :             R_OBS[2] = R_OBS[0];
     786      542386 :             R_OBS[3] = R_OBS[0];
     787      542386 :             R_OBS[4] = R_OBS[0];
     788     2169544 :             for (uint8_t i=0; i<=2; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i];
     789     3295446 :         } else if (fusingStationaryZeroVel) {
     790             :             // Synthetic zero velocity in AID_RELATIVE or AID_ABSOLUTE mode when no
     791             :             // velocity sensor data is available (e.g. GPS configured but not yet locked,
     792             :             // or optical flow with no movement). Use 1 m/s noise for velocity — same
     793             :             // rationale as the AID_NONE case above. Position noise uses actual sensor
     794             :             // characteristics when available (extNav posErr, GPS accuracy), falling back
     795             :             // to _gpsHorizPosNoise as a conservative default since it is the only
     796             :             // position noise parameter available regardless of aiding source.
     797         694 :             R_OBS[0] = sq(1.0f);
     798         694 :             R_OBS[1] = R_OBS[0];
     799         694 :             R_OBS[2] = R_OBS[0];
     800        2776 :             for (uint8_t i=0; i<=2; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i];
     801             : #if EK3_FEATURE_EXTERNAL_NAV
     802         694 :             if (extNavUsedForPos) {
     803           2 :                 R_OBS[3] = sq(constrain_ftype(extNavDataDelayed.posErr, 0.01f, 10.0f));
     804             :             } else
     805             : #endif
     806         692 :             if (gpsPosAccuracy > 0.0f) {
     807         615 :                 R_OBS[3] = sq(constrain_ftype(gpsPosAccuracy, frontend->_gpsHorizPosNoise, 100.0f));
     808             :             } else {
     809          77 :                 R_OBS[3] = sq(constrain_ftype(frontend->_gpsHorizPosNoise, 0.1f, 10.0f));
     810             :             }
     811         694 :             R_OBS[4] = R_OBS[3];
     812             :         } else {
     813             : #if EK3_FEATURE_EXTERNAL_NAV
     814     3294752 :             const bool extNavUsedForVel = extNavVelToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::EXTNAV, core_index);
     815             :             if (extNavUsedForVel) {
     816        6282 :                 R_OBS[2] = R_OBS[0] = sq(constrain_ftype(extNavVelDelayed.err, 0.05f, 50.0f));
     817             :             } else
     818             : #endif
     819     3288470 :             if (gpsSpdAccuracy > 0.0f) {
     820             :                 // use GPS receivers reported speed accuracy if available and floor at value set by GPS velocity noise parameter
     821     3272968 :                 R_OBS[0] = sq(constrain_ftype(gpsSpdAccuracy, frontend->_gpsHorizVelNoise, 50.0f));
     822     3272968 :                 R_OBS[2] = sq(constrain_ftype(gpsSpdAccuracy, frontend->_gpsVertVelNoise, 50.0f));
     823             :             } else {
     824             :                 // calculate additional error in GPS velocity caused by manoeuvring
     825       15502 :                 R_OBS[0] = sq(constrain_ftype(frontend->_gpsHorizVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsNEVelVarAccScale * accNavMag);
     826       15502 :                 R_OBS[2] = sq(constrain_ftype(frontend->_gpsVertVelNoise,  0.05f, 5.0f)) + sq(frontend->gpsDVelVarAccScale  * accNavMag);
     827             :             }
     828     3294752 :             R_OBS[1] = R_OBS[0];
     829             :             // Use GPS reported position accuracy if available and floor at value set by GPS position noise parameter
     830             : #if EK3_FEATURE_EXTERNAL_NAV
     831     3294752 :             if (extNavUsedForPos) {
     832       13459 :                 R_OBS[3] = sq(constrain_ftype(extNavDataDelayed.posErr, 0.01f, 100.0f));
     833             :             } else
     834             : #endif
     835     3281293 :             if (gpsPosAccuracy > 0.0f) {
     836     3271490 :                 R_OBS[3] = sq(constrain_ftype(gpsPosAccuracy, frontend->_gpsHorizPosNoise, 100.0f));
     837             :             } else {
     838             :                 // calculate additional error in GPS position caused by manoeuvring
     839        9803 :                 const ftype posErr = frontend->gpsPosVarAccScale * accNavMag;
     840        9803 :                 R_OBS[3] = sq(constrain_ftype(frontend->_gpsHorizPosNoise, 0.1f, 10.0f)) + sq(posErr);
     841             :             }
     842     3294752 :             R_OBS[4] = R_OBS[3];
     843             :             // For data integrity checks we use the same measurement variances as used to calculate the Kalman gains for all measurements except GPS horizontal velocity
     844             :             // For horizontal GPS velocity we don't want the acceptance radius to increase with reported GPS accuracy so we use a value based on best GPS performance
     845             :             // plus a margin for manoeuvres. It is better to reject GPS horizontal velocity errors early
     846             :             ftype obs_data_chk;
     847             : #if EK3_FEATURE_EXTERNAL_NAV
     848     3294752 :             if (extNavUsedForVel) {
     849        6282 :                 obs_data_chk = sq(constrain_ftype(extNavVelDelayed.err, 0.05f, 5.0f)) + sq(frontend->extNavVelVarAccScale * accNavMag);
     850             :             } else
     851             : #endif
     852             :             {
     853     3288470 :                 obs_data_chk = sq(constrain_ftype(frontend->_gpsHorizVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsNEVelVarAccScale * accNavMag);
     854             :             }
     855     3294752 :             R_OBS_DATA_CHECKS[0] = R_OBS_DATA_CHECKS[1] = R_OBS_DATA_CHECKS[2] = obs_data_chk;
     856             :         }
     857     3837832 :         R_OBS[5] = posDownObsNoise;
     858    15351328 :         for (uint8_t i=3; i<=5; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i];
     859             : 
     860             :         // if vertical GPS velocity data and an independent height source is being used, check to see if the GPS vertical velocity and altimeter
     861             :         // innovations have the same sign and are outside limits. If so, then it is likely aliasing is affecting
     862             :         // the accelerometers and we should disable the GPS and barometer innovation consistency checks.
     863     3837832 :         const bool fuse_gps_vz = frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::GPS, core_index) && gpsDataDelayed.have_vz;
     864     3415118 :         if (fuse_gps_vz && fuseVelVertData && (frontend->sources.getPosZSource(core_index) != AP_NavEKF_Source::SourceZ::GPS)) {
     865             :             // calculate innovations for height and vertical GPS vel measurements
     866     1080073 :             const ftype hgtErr  = stateStruct.position.z - velPosObs[5];
     867     1080073 :             const ftype velDErr = stateStruct.velocity.z - velPosObs[2];
     868             :             // Check if they are the same sign and both more than 3-sigma out of bounds
     869             :             // Step the test threshold up in stages from 1 to 2 to 3 sigma after exiting
     870             :             // from a previous bad IMU event so that a subsequent error is caught more quickly.
     871     1080073 :             const uint32_t timeSinceLastBadIMU_ms = imuSampleTime_ms - badIMUdata_ms;
     872             :             float R_gain;
     873     1080073 :             if (timeSinceLastBadIMU_ms > (BAD_IMU_DATA_HOLD_MS * 2)) {
     874             :                 R_gain = 9.0F;
     875        2525 :             } else if  (timeSinceLastBadIMU_ms > ((BAD_IMU_DATA_HOLD_MS * 3) / 2)) {
     876             :                 R_gain = 4.0F;
     877             :             } else {
     878             :                 R_gain = 1.0F;
     879             :             }
     880     1080073 :             if ((hgtErr*velDErr > 0.0f) && (sq(hgtErr) > R_gain * R_OBS[5]) && (sq(velDErr) >R_gain * R_OBS[2])) {
     881          78 :                 badIMUdata_ms = imuSampleTime_ms;
     882             :             } else {
     883     1079995 :                 goodIMUdata_ms = imuSampleTime_ms;
     884             :             }
     885     1080073 :             if (timeSinceLastBadIMU_ms < BAD_IMU_DATA_HOLD_MS) {
     886        1380 :                 badIMUdata = true;
     887        1380 :                 stateStruct.velocity.z = gpsDataDelayed.vel.z;
     888             :             } else {
     889     1078693 :                 badIMUdata = false;
     890             :             }
     891             :         }
     892             : 
     893             :         // Test horizontal position measurements
     894     3837832 :         if (fusePosData) {
     895     1672111 :             innovVelPos[3] = stateStruct.position.x - velPosObs[3];
     896     1672111 :             innovVelPos[4] = stateStruct.position.y - velPosObs[4];
     897     1672111 :             varInnovVelPos[3] = P[7][7] + R_OBS_DATA_CHECKS[3];
     898     1672111 :             varInnovVelPos[4] = P[8][8] + R_OBS_DATA_CHECKS[4];
     899             : 
     900             :             // Apply an innovation consistency threshold test
     901             :             // Don't allow test to fail if not navigating and using a constant position
     902             :             // assumption to constrain tilt errors because innovations can become large
     903             :             // due to vehicle motion.
     904     1672111 :             ftype maxPosInnov2 = sq(MAX(0.01 * (ftype)frontend->_gpsPosInnovGate, 1.0))*(varInnovVelPos[3] + varInnovVelPos[4]);
     905             : 
     906     1672111 :             posTestRatio = (sq(innovVelPos[3]) + sq(innovVelPos[4])) / maxPosInnov2;
     907             :             bool posCheckPassed = false; // boolean true if position measurements have passed innovation consistency check
     908     1672111 :             if (posTestRatio < 1.0f || (PV_AidingMode == AID_NONE)) {
     909             :                 posCheckPassed = true;
     910     1669976 :                 lastGpsPosPassTime_ms = imuSampleTime_ms;
     911        2135 :             } else if ((frontend->_gpsGlitchRadiusMax <= 0) && (PV_AidingMode != AID_NONE)) {
     912             :                 // Handle the special case where the glitch radius parameter has been set to a non-positive number.
     913             :                 // The innovation variance is increased to limit the state update to an amount corresponding
     914             :                 // to a test ratio of 1.
     915           0 :                 lastGpsPosPassTime_ms = imuSampleTime_ms;
     916           0 :                 varInnovVelPos[3] *= posTestRatio;
     917           0 :                 varInnovVelPos[4] *= posTestRatio;
     918             :                 posCheckPassed = true;
     919             :                 lastGpsPosPassTime_ms = imuSampleTime_ms;
     920             :             }
     921             : 
     922             :             // Use position data if healthy or timed out or bad IMU data
     923             :             // Always fuse data if bad IMU to prevent aliasing and clipping pulling the state estimate away
     924             :             // from the measurement un-opposed if test threshold is exceeded.
     925        2135 :             if (posCheckPassed || posTimeout || badIMUdata) {
     926             :                 // if timed out or outside the specified uncertainty radius, reset to the external sensor
     927             :                 // if velocity drift is being constrained, dont reset until gps passes quality checks
     928     1670082 :                 const bool posVarianceIsTooLarge = (frontend->_gpsGlitchRadiusMax > 0) && (P[8][8] + P[7][7]) > sq(ftype(frontend->_gpsGlitchRadiusMax));
     929     1670082 :                 if ((posTimeout || posVarianceIsTooLarge) && (!velAiding || gpsGoodToAlign)) {
     930             :                     // reset the position to the current external sensor position
     931         101 :                     ResetPosition(resetDataSource::DEFAULT);
     932             : 
     933             :                     // Don't fuse the same data we have used to reset states.
     934         101 :                     fusePosData = false;
     935             : 
     936             :                     // Reset the position variances and corresponding covariances to a value that will pass the checks
     937         101 :                     zeroStatesVarCov(7, 8);
     938         101 :                     P[7][7] = sq(ftype(0.5f*frontend->_gpsGlitchRadiusMax));
     939         101 :                     P[8][8] = P[7][7];
     940             : 
     941             :                     // Reset the normalised innovation to avoid failing the bad fusion tests
     942         101 :                     posTestRatio = 0.0f;
     943             : 
     944             :                     // Reset velocity if it has timed out
     945         101 :                     if (velTimeout) {
     946          32 :                         ResetVelocity(resetDataSource::DEFAULT);
     947             : 
     948             :                         // Don't fuse the same data we have used to reset states.
     949          32 :                         fuseVelData = false;
     950             : 
     951             :                         // Reset the normalised innovation to avoid failing the bad fusion tests
     952          32 :                         velTestRatio = 0.0f;
     953             :                     }
     954             :                 }
     955             :             } else {
     956        2029 :                 fusePosData = false;
     957             :             }
     958             :         }
     959             : 
     960             :         // Test velocity measurements
     961     3837832 :         if (fuseVelData) {
     962             :             uint8_t imax = 2;
     963             :             // Don't fuse vertical velocity observations if disabled in sources or not available
     964     1577958 :             const bool fuse_extnav_vz = frontend->sources.useVelZSource(AP_NavEKF_Source::SourceZ::EXTNAV, core_index) && useExtNavVel;
     965     1577958 :             if ((PV_AidingMode != AID_ABSOLUTE || !fuse_gps_vz) && !fuse_extnav_vz) {
     966             :                 imax = 1;
     967             :             }
     968             : 
     969             :             // Apply an innovation consistency threshold test
     970             :             ftype innovVelSumSq = 0; // sum of squares of velocity innovations
     971             :             ftype varVelSum = 0; // sum of velocity innovation variances
     972             : 
     973     5820150 :             for (uint8_t i = 0; i<=imax; i++) {
     974     4242192 :                 stateIndex   = i + 4;
     975     4242192 :                 const float innovation = stateStruct.velocity[i] - velPosObs[i];
     976     4242192 :                 innovVelSumSq += sq(innovation);
     977     4242192 :                 varInnovVelPos[i] = P[stateIndex][stateIndex] + R_OBS_DATA_CHECKS[i];
     978     4242192 :                 varVelSum += varInnovVelPos[i];
     979             :             }
     980     1577958 :             velTestRatio = innovVelSumSq / (varVelSum * sq(MAX(0.01 * (ftype)frontend->_gpsVelInnovGate, 1.0)));
     981             :             bool velCheckPassed = false; // boolean true if velocity measurements have passed innovation consistency checks
     982     1577958 :             if (velTestRatio < 1.0) {
     983             :                 velCheckPassed = true;
     984     1577070 :                 lastVelPassTime_ms = imuSampleTime_ms;
     985         888 :             } else if (frontend->_gpsGlitchRadiusMax <= 0) {
     986             :                 // Handle the special case where the glitch radius parameter has been set to a non-positive number.
     987             :                 // The innovation variance is increased to limit the state update to an amount corresponding
     988             :                 // to a test ratio of 1.
     989           0 :                 lastGpsPosPassTime_ms = imuSampleTime_ms;
     990           0 :                 for (uint8_t i = 0; i<=imax; i++) {
     991           0 :                     varInnovVelPos[i] *= velTestRatio;
     992             :                 }
     993             :                 velCheckPassed = true;
     994           0 :                 lastVelPassTime_ms = imuSampleTime_ms;
     995             :             }
     996             : 
     997             :             // Use velocity data if healthy, timed out or when IMU fault has been detected
     998             :             // Always fuse data if bad IMU to prevent aliasing and clipping pulling the state estimate away
     999             :             // from the measurement un-opposed if test threshold is exceeded.
    1000         888 :             if (velCheckPassed || velTimeout || badIMUdata) {
    1001             :                 // If we are doing full aiding and velocity fusion times out, reset to the external sensor velocity
    1002     1577114 :                 if (PV_AidingMode == AID_ABSOLUTE && velTimeout) {
    1003           2 :                     ResetVelocity(resetDataSource::DEFAULT);
    1004             : 
    1005             :                     // Don't fuse the same data we have used to reset states.
    1006           2 :                     fuseVelData = false;
    1007             : 
    1008             :                     // Reset the normalised innovation to avoid failing the bad fusion tests
    1009           2 :                     velTestRatio = 0.0f;
    1010             :                 }
    1011             :             } else {
    1012         844 :                 fuseVelData = false;
    1013             :             }
    1014             :         }
    1015             : 
    1016             :         // Test height measurements
    1017     3837832 :         if (fuseHgtData) {
    1018             :             // Calculate height innovations
    1019     2809486 :             innovVelPos[5] = stateStruct.position.z - velPosObs[5];
    1020     2809486 :             varInnovVelPos[5] = P[9][9] + R_OBS_DATA_CHECKS[5];
    1021             : 
    1022             :             // Calculate the innovation consistency test ratio
    1023     2809486 :             hgtTestRatio = sq(innovVelPos[5]) / (sq(MAX(0.01 * (ftype)frontend->_hgtInnovGate, 1.0)) * varInnovVelPos[5]);
    1024             : 
    1025             :             // When on ground we accept a larger test ratio to allow the filter to handle large switch on IMU
    1026             :             // bias errors without rejecting the height sensor.
    1027     2809486 :             const bool onGroundNotNavigating = (PV_AidingMode == AID_NONE) && onGround;
    1028             :             const float maxTestRatio = onGroundNotNavigating ? 3.0f : 1.0f;
    1029             :             bool hgtCheckPassed = false; // boolean true if height measurements have passed innovation consistency check
    1030     2809486 :             if (hgtTestRatio < maxTestRatio) {
    1031             :                 hgtCheckPassed = true;
    1032     2809289 :                 lastHgtPassTime_ms = imuSampleTime_ms;
    1033         197 :             } else if ((frontend->_gpsGlitchRadiusMax <= 0) && !onGroundNotNavigating && (activeHgtSource == AP_NavEKF_Source::SourceZ::GPS)) {
    1034             :                 // Handle the special case where the glitch radius parameter has been set to a non-positive number.
    1035             :                 // The innovation variance is increased to limit the state update to an amount corresponding
    1036             :                 // to a test ratio of 1.
    1037           0 :                 lastGpsPosPassTime_ms = imuSampleTime_ms;
    1038           0 :                 varInnovVelPos[5] *= hgtTestRatio;
    1039             :                 hgtCheckPassed = true;
    1040           0 :                 lastHgtPassTime_ms = imuSampleTime_ms;
    1041             :             }
    1042             : 
    1043             :             // Use height data if innovation check passed or timed out or if bad IMU data
    1044             :             // Always fuse data if bad IMU to prevent aliasing and clipping pulling the state estimate away
    1045             :             // from the measurement un-opposed if test threshold is exceeded.
    1046         197 :             if (hgtCheckPassed || hgtTimeout || badIMUdata) {
    1047             :                 // Calculate a filtered value to be used by pre-flight health checks
    1048             :                 // We need to filter because wind gusts can generate significant baro noise and we want to be able to detect bias errors in the inertial solution
    1049     2809296 :                 if (onGround) {
    1050      861433 :                     ftype dtBaro = (imuSampleTime_ms - lastHgtPassTime_ms) * 1.0e-3;
    1051             :                     const ftype hgtInnovFiltTC = 2.0;
    1052      861433 :                     ftype alpha = constrain_ftype(dtBaro/(dtBaro+hgtInnovFiltTC), 0.0, 1.0);
    1053      861433 :                     hgtInnovFiltState += (innovVelPos[5] - hgtInnovFiltState)*alpha;
    1054             :                 } else {
    1055     1947863 :                     hgtInnovFiltState = 0.0f;
    1056             :                 }
    1057             : 
    1058     2809296 :                 if (hgtTimeout) {
    1059          13 :                     ResetHeight();
    1060             : 
    1061             :                     // Don't fuse the same data we have used to reset states.
    1062          13 :                     fuseHgtData = false;
    1063             :                 }
    1064             : 
    1065             :             } else {
    1066         190 :                 fuseHgtData = false;
    1067             :             }
    1068             :         }
    1069             : 
    1070             :         // set range for sequential fusion of velocity and position measurements depending on which data is available and its health
    1071     3837832 :         if (fuseVelData) {
    1072     1577112 :             fuseData[0] = true;
    1073     1577112 :             fuseData[1] = true;
    1074     1577112 :             if (fuseVelVertData || fusingStationaryZeroVel) {
    1075     1538862 :                 fuseData[2] = true;
    1076             :             }
    1077             :         }
    1078     3837832 :         if (fusePosData) {
    1079     1669981 :             fuseData[3] = true;
    1080     1669981 :             fuseData[4] = true;
    1081             :         }
    1082     3837832 :         if (fuseHgtData) {
    1083     2809283 :             fuseData[5] = true;
    1084             :         }
    1085             : 
    1086             :         // fuse measurements sequentially
    1087    26864824 :         for (obsIndex=0; obsIndex<=5; obsIndex++) {
    1088    23026992 :             if (fuseData[obsIndex]) {
    1089    10842331 :                 stateIndex = 4 + obsIndex;
    1090             :                 // calculate the measurement innovation, using states from a different time coordinate if fusing height data
    1091             :                 // adjust scaling on GPS measurement noise variances if not enough satellites
    1092    10842331 :                 if (obsIndex <= 2) {
    1093     4693086 :                     innovVelPos[obsIndex] = stateStruct.velocity[obsIndex] - velPosObs[obsIndex];
    1094     4693086 :                     if (frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::GPS, core_index)) {
    1095     4666404 :                         R_OBS[obsIndex] *= sq(gpsNoiseScaler);
    1096             :                     }
    1097     6149245 :                 } else if (obsIndex == 3 || obsIndex == 4) {
    1098     3339962 :                     innovVelPos[obsIndex] = stateStruct.position[obsIndex-3] - velPosObs[obsIndex];
    1099     3339962 :                     if (frontend->sources.getPosXYSource(core_index) == AP_NavEKF_Source::SourceXY::GPS) {
    1100     3308530 :                         R_OBS[obsIndex] *= sq(gpsNoiseScaler);
    1101             :                     }
    1102             :                 } else if (obsIndex == 5) {
    1103     2809283 :                     innovVelPos[obsIndex] = stateStruct.position[obsIndex-3] - velPosObs[obsIndex];
    1104     2809283 :                     const ftype gndMaxBaroErr = MAX(frontend->_baroGndEffectDeadZone, 0.0);
    1105             :                     const ftype gndBaroInnovFloor = -0.5;
    1106             : 
    1107     2809283 :                     if ((dal.get_touchdown_expected() || dal.get_takeoff_expected()) && activeHgtSource == AP_NavEKF_Source::SourceZ::BARO) {
    1108             :                         // when baro positive pressure error due to ground effect is expected,
    1109             :                         // floor the barometer innovation at gndBaroInnovFloor
    1110             :                         // constrain the correction between 0 and gndBaroInnovFloor+gndMaxBaroErr
    1111             :                         // this function looks like this:
    1112             :                         //         |/
    1113             :                         //---------|---------
    1114             :                         //    ____/|
    1115             :                         //   /     |
    1116             :                         //  /      |
    1117      154293 :                         innovVelPos[5] += constrain_ftype(-innovVelPos[5]+gndBaroInnovFloor, 0.0f, gndBaroInnovFloor+gndMaxBaroErr);
    1118             :                     }
    1119             :                 }
    1120             : 
    1121             :                 // calculate the Kalman gain and calculate innovation variances
    1122    10842331 :                 varInnovVelPos[obsIndex] = P[stateIndex][stateIndex] + R_OBS[obsIndex];
    1123    10842331 :                 SK = 1.0f/varInnovVelPos[obsIndex];
    1124             : 
    1125             :                 uint32_t kalman_mask = (1<<10)-1; // values to calculate in Kfusion (others are set to zero)
    1126             : 
    1127             :                 // inhibit delta angle bias state estimation by setting Kalman gains to zero
    1128    10842331 :                 if (!inhibitDelAngBiasStates) {
    1129    42838760 :                     for (uint8_t i = 10; i<=12; i++) {
    1130             :                         // Don't try to learn gyro bias if not aiding and the axis is
    1131             :                         // less than 45 degrees from vertical because the bias is poorly observable
    1132             :                         bool poorObservability = false;
    1133    32129070 :                         if (PV_AidingMode == AID_NONE) {
    1134     8557791 :                             const uint8_t axisIndex = i - 10;
    1135     8557791 :                             if (axisIndex == 0) {
    1136     2852597 :                                 poorObservability = fabsF(prevTnb.a.z) > M_SQRT1_2;
    1137     5705194 :                             } else if (axisIndex == 1) {
    1138     2852597 :                                 poorObservability = fabsF(prevTnb.b.z) > M_SQRT1_2;
    1139             :                             } else {
    1140     2852597 :                                 poorObservability = fabsF(prevTnb.c.z) > M_SQRT1_2;
    1141             :                             }
    1142             :                         }
    1143     8557791 :                         if (!poorObservability) {
    1144    29276519 :                             kalman_mask |= (1<<i);
    1145             :                         }
    1146             :                     }
    1147             :                 }
    1148             : 
    1149             :                 // Inhibit delta velocity bias state estimation by setting Kalman gains to zero
    1150             :                 // Don't use 'fake' horizontal measurements used to constrain attitude drift during
    1151             :                 // periods of non-aiding to learn bias as these can give incorrect esitmates.
    1152    10842331 :                 const bool horizInhibit = PV_AidingMode == AID_NONE && obsIndex != 2 && obsIndex != 5;
    1153     8852539 :                 if (!horizInhibit && !inhibitDelVelBiasStates && !badIMUdata) {
    1154    35194740 :                     for (uint8_t i = 13; i<=15; i++) {
    1155    26396055 :                         if (!dvelBiasAxisInhibit[i-13]) {
    1156    21959657 :                             kalman_mask |= (1<<i);
    1157             :                         }
    1158             :                     }
    1159             :                 }
    1160             : 
    1161             :                 // inhibit magnetic field state estimation by setting Kalman gains to zero
    1162    10842331 :                 if (!inhibitMagStates) {
    1163     5814297 :                     kalman_mask |= (1<<16) | (1<<17) | (1<<18) | (1<<19) | (1<<20) | (1<<21);
    1164             :                 }
    1165             : 
    1166             :                 // inhibit wind state estimation by setting Kalman gains to zero
    1167    10842331 :                 if (!inhibitWindStates && !treatWindStatesAsTruth) {
    1168     2153591 :                     kalman_mask |= (1<<22) | (1<<23);
    1169             :                 }
    1170             : 
    1171   271058275 :                 for (auto i=0; i<24; i++) {
    1172             :                     ftype res = 0;
    1173   260215944 :                     if (kalman_mask & (1<<i)) {
    1174   198852450 :                         res = P[i][stateIndex]*SK;
    1175             :                     }
    1176   260215944 :                     Kfusion[i] = res;
    1177             :                 }
    1178             : 
    1179             :                 // one element of H is 1, compiler will optimize it away
    1180             :                 Vector24 Hfusion;
    1181             :                 Hfusion[stateIndex] = 1;
    1182             : 
    1183             :                 // correct the covariance P = (I - K*H)*P = P - K*H*P. take advantage of
    1184             :                 // the zero elements of H to reduce the number of operations.
    1185   222833301 :                 for (unsigned i = 0; i<=stateIndexLim; i++) {
    1186             :                     // j as the inner loop allows the compiler to hoist the KH product
    1187             :                     // to save computation, and do the inner indexing more efficiently.
    1188  4495244878 :                     for (unsigned j = 0; j<=stateIndexLim; j++) {
    1189             :                         ftype res = 0;
    1190  4283253908 :                         res += (Kfusion[i] * Hfusion[stateIndex]) * P[stateIndex][j];
    1191  4283253908 :                         KHP[i][j] = res;
    1192             :                     }
    1193             :                 }
    1194             : 
    1195             :                 // finish fusion from KHP and Kfusion
    1196    10842331 :                 const bool fault = FinishFusion(innovVelPos[obsIndex]);
    1197             :                 // record health status
    1198    10842331 :                 if (obsIndex == 0) {
    1199     1577112 :                     faultStatus.bad_nvel = fault;
    1200     9265219 :                 } else if (obsIndex == 1) {
    1201     1577112 :                     faultStatus.bad_evel = fault;
    1202     7688107 :                 } else if (obsIndex == 2) {
    1203     1538862 :                     faultStatus.bad_dvel = fault;
    1204     6149245 :                 } else if (obsIndex == 3) {
    1205     1669981 :                     faultStatus.bad_npos = fault;
    1206     4479264 :                 } else if (obsIndex == 4) {
    1207     1669981 :                     faultStatus.bad_epos = fault;
    1208             :                 } else if (obsIndex == 5) {
    1209     2809283 :                     faultStatus.bad_dpos = fault;
    1210             :                 }
    1211             :             }
    1212             :         }
    1213             :     }
    1214     3837832 : }
    1215             : 
    1216             : /********************************************************
    1217             : *                   MISC FUNCTIONS                      *
    1218             : ********************************************************/
    1219             : 
    1220             : // select the height measurement to be fused from the available baro, range finder and GPS sources
    1221    18761238 : void NavEKF3_core::selectHeightForFusion()
    1222             : {
    1223             : #if AP_RANGEFINDER_ENABLED
    1224             :     // Read range finder data and check for new data in the buffer
    1225             :     // This data is used by both height and optical flow fusion processing
    1226    18761238 :     readRangeFinder();
    1227    18761238 :     rangeDataToFuse = storedRange.recall(rangeDataDelayed,imuDataDelayed.time_ms);
    1228             : 
    1229             :     // correct range data for the body frame position offset relative to the IMU
    1230             :     // the corrected reading is the reading that would have been taken if the sensor was
    1231             :     // co-located with the IMU
    1232    18761238 :     const auto *_rng = dal.rangefinder();
    1233    18761238 :     if (_rng && rangeDataToFuse) {
    1234      173855 :         auto *sensor = _rng->get_backend(rangeDataDelayed.sensor_idx);
    1235      173855 :         if (sensor != nullptr) {
    1236      173855 :             Vector3F posOffsetBody = sensor->get_pos_offset().toftype() - accelPosOffset;
    1237      173855 :             if (!posOffsetBody.is_zero()) {
    1238        1555 :                 Vector3F posOffsetEarth = prevTnb.mul_transpose(posOffsetBody);
    1239        1555 :                 rangeDataDelayed.rng += posOffsetEarth.z / prevTnb.c.z;
    1240             :             }
    1241             :         }
    1242             :     }
    1243             : #endif  // AP_RANGEFINDER_ENABLED
    1244             : 
    1245             :     // read baro height data from the sensor and check for new data in the buffer
    1246    18761238 :     readBaroData();
    1247    18761238 :     baroDataToFuse = storedBaro.recall(baroDataDelayed, imuDataDelayed.time_ms);
    1248             : 
    1249    18761238 :     bool rangeFinderDataIsFresh = (imuSampleTime_ms - rngValidMeaTime_ms < 500);
    1250             : #if EK3_FEATURE_EXTERNAL_NAV
    1251    18761238 :     const bool extNavDataIsFresh = (imuSampleTime_ms - extNavMeasTime_ms < 500);
    1252             : #endif
    1253             :     // select height source
    1254    18761238 :     if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::NONE)) {
    1255             :         // user has specified no height sensor
    1256           0 :         activeHgtSource = AP_NavEKF_Source::SourceZ::NONE;
    1257             : #if AP_RANGEFINDER_ENABLED
    1258    18761238 :     } else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::RANGEFINDER) && _rng && rangeFinderDataIsFresh) {
    1259             :         // user has specified the range finder as a primary height source
    1260           0 :         activeHgtSource = AP_NavEKF_Source::SourceZ::RANGEFINDER;
    1261    18761238 :     } else if ((frontend->_useRngSwHgt > 0) && ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BARO) || (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::GPS)) && _rng && rangeFinderDataIsFresh) {
    1262             :         // determine if we are above or below the height switch region
    1263       15248 :         const ftype rangeMaxUse = 1e-2 * (ftype)_rng->max_distance_orient(ROTATION_PITCH_270) * (ftype)frontend->_useRngSwHgt;
    1264       15248 :         bool aboveUpperSwHgt = (terrainState - stateStruct.position.z) > rangeMaxUse;
    1265       15248 :         bool belowLowerSwHgt = ((terrainState - stateStruct.position.z) < 0.7f * rangeMaxUse) && (imuSampleTime_ms - gndHgtValidTime_ms < 1000);
    1266             : 
    1267             :         // If the terrain height is consistent and we are moving slowly, then it can be
    1268             :         // used as a height reference in combination with a range finder
    1269             :         // apply a hysteresis to the speed check to prevent rapid switching
    1270             :         bool dontTrustTerrain, trustTerrain;
    1271       15248 :         if (filterStatus.flags.horiz_vel) {
    1272             :             // We can use the velocity estimate
    1273       15030 :             ftype horizSpeed = stateStruct.velocity.xy().length();
    1274       15030 :             dontTrustTerrain = (horizSpeed > frontend->_useRngSwSpd) || !terrainHgtStable;
    1275       15030 :             ftype trust_spd_trigger = MAX((frontend->_useRngSwSpd - 1.0f),(frontend->_useRngSwSpd * 0.5f));
    1276       15030 :             trustTerrain = (horizSpeed < trust_spd_trigger) && terrainHgtStable;
    1277             :         } else {
    1278             :             // We can't use the velocity estimate
    1279         218 :             dontTrustTerrain = !terrainHgtStable;
    1280             :             trustTerrain = terrainHgtStable;
    1281             :         }
    1282             : 
    1283             :         /*
    1284             :             * Switch between range finder and primary height source using height above ground and speed thresholds with
    1285             :             * hysteresis to avoid rapid switching. Using range finder for height requires a consistent terrain height
    1286             :             * which cannot be assumed if the vehicle is moving horizontally.
    1287             :         */
    1288       15248 :         if ((aboveUpperSwHgt || dontTrustTerrain) && (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER)) {
    1289             :             // cannot trust terrain or range finder so stop using range finder height
    1290           3 :             if (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BARO) {
    1291           3 :                 activeHgtSource = AP_NavEKF_Source::SourceZ::BARO;
    1292           0 :             } else if (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::GPS) {
    1293           0 :                 activeHgtSource = AP_NavEKF_Source::SourceZ::GPS;
    1294             :             }
    1295       15245 :         } else if (belowLowerSwHgt && trustTerrain && (prevTnb.c.z >= 0.7f)) {
    1296             :             // reliable terrain and range finder so start using range finder height
    1297         295 :             activeHgtSource = AP_NavEKF_Source::SourceZ::RANGEFINDER;
    1298             :         }
    1299             : #endif
    1300    18745990 :     } else if (frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BARO) {
    1301    18667007 :         activeHgtSource = AP_NavEKF_Source::SourceZ::BARO;
    1302       78983 :     } else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::GPS) && ((imuSampleTime_ms - lastTimeGpsReceived_ms) < 500) && validOrigin && gpsAccuracyGood) {
    1303       23633 :         activeHgtSource = AP_NavEKF_Source::SourceZ::GPS;
    1304             : #if EK3_FEATURE_BEACON_FUSION
    1305       55350 :     } else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::BEACON) && validOrigin && rngBcn.goodToAlign) {
    1306           0 :         activeHgtSource = AP_NavEKF_Source::SourceZ::BEACON;
    1307             : #endif
    1308             : #if EK3_FEATURE_EXTERNAL_NAV
    1309       55350 :     } else if ((frontend->sources.getPosZSource(core_index) == AP_NavEKF_Source::SourceZ::EXTNAV) && extNavDataIsFresh) {
    1310       39832 :         activeHgtSource = AP_NavEKF_Source::SourceZ::EXTNAV;
    1311             : #endif
    1312             :     }
    1313             : 
    1314             :     // Use Baro alt as a fallback if we lose range finder, GPS, external nav or Beacon
    1315    18761238 :     bool lostRngHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER) && !rangeFinderDataIsFresh);
    1316    18761238 :     bool lostGpsHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::GPS) && ((imuSampleTime_ms - lastTimeGpsReceived_ms) > 2000 || !gpsAccuracyGoodForAltitude));
    1317             : #if EK3_FEATURE_BEACON_FUSION
    1318    18761238 :     bool lostRngBcnHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::BEACON) && ((imuSampleTime_ms - rngBcn.dataDelayed.time_ms) > 2000));
    1319             : #endif
    1320             :     bool fallback_to_baro =
    1321             :         lostRngHgt
    1322    18761238 :         || lostGpsHgt
    1323             : #if EK3_FEATURE_BEACON_FUSION
    1324    18761238 :         || lostRngBcnHgt
    1325             : #endif
    1326             :         ;
    1327             : #if EK3_FEATURE_EXTERNAL_NAV
    1328    18761238 :     bool lostExtNavHgt = ((activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV) && !extNavDataIsFresh);
    1329    18761238 :     fallback_to_baro |= lostExtNavHgt;
    1330             : #endif
    1331    18761238 :     if (fallback_to_baro) {
    1332           1 :         activeHgtSource = AP_NavEKF_Source::SourceZ::BARO;
    1333             :     }
    1334             : 
    1335             :     // if there is new baro data to fuse, calculate filtered baro data required by other processes
    1336    18761238 :     if (baroDataToFuse) {
    1337             :         // calculate offset to baro data that enables us to switch to Baro height use during operation
    1338     2806673 :         if (activeHgtSource != AP_NavEKF_Source::SourceZ::BARO) {
    1339        9847 :             calcFiltBaroOffset();
    1340             :         }
    1341             :         // filtered baro data used to provide a reference for takeoff
    1342             :         // it is is reset to last height measurement on disarming in performArmingChecks()
    1343     2806673 :         if (!dal.get_takeoff_expected()) {
    1344             :             const ftype gndHgtFiltTC = 0.5;
    1345     2717576 :             const ftype dtBaro = frontend->hgtAvg_ms*1.0e-3;
    1346     2717576 :             ftype alpha = constrain_ftype(dtBaro / (dtBaro+gndHgtFiltTC),0.0,1.0);
    1347     2717576 :             meaHgtAtTakeOff += (baroDataDelayed.hgt-meaHgtAtTakeOff)*alpha;
    1348             :         }
    1349             :     }
    1350             : 
    1351             :     // If we are not using GPS as the primary height sensor, correct EKF origin height so that
    1352             :     // combined local NED position height and origin height remains consistent with the GPS altitude
    1353             :     // This also enables the GPS height to be used as a backup height source
    1354    18761238 :     if (gpsDataToFuse &&
    1355     1248372 :             (((frontend->_originHgtMode & (1 << 0)) && (activeHgtSource == AP_NavEKF_Source::SourceZ::BARO)) ||
    1356     1217490 :             ((frontend->_originHgtMode & (1 << 1)) && (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER)))
    1357             :             ) {
    1358       30882 :             correctEkfOriginHeight();
    1359             :     }
    1360             : 
    1361             :     // Select the height measurement source
    1362             : #if EK3_FEATURE_EXTERNAL_NAV
    1363    18761238 :     if (extNavDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::EXTNAV)) {
    1364        9167 :         hgtMea = -extNavDataDelayed.pos.z;
    1365        9167 :         velPosObs[5] = -hgtMea;
    1366        9167 :         posDownObsNoise = sq(constrain_ftype(extNavDataDelayed.posErr, 0.1f, 10.0f));
    1367        9167 :         fuseHgtData = true;
    1368             :     } else
    1369             : #endif // EK3_FEATURE_EXTERNAL_NAV
    1370    18752071 :         if (rangeDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::RANGEFINDER)) {
    1371             :         // using range finder data
    1372             :         // correct for tilt using a flat earth model
    1373        1912 :         if (prevTnb.c.z >= 0.7) {
    1374             :             // calculate height above ground
    1375        1912 :             hgtMea  = MAX(rangeDataDelayed.rng * prevTnb.c.z, rngOnGnd);
    1376             :             // correct for terrain position relative to datum
    1377        1912 :             hgtMea -= terrainState;
    1378             :             // correct sensor so that local position height adjusts to match GPS
    1379        1912 :             if (frontend->_originHgtMode & (1 << 1) && frontend->_originHgtMode & (1 << 2)) {
    1380             :                 // offset has to be applied to the measurement, not the NED origin
    1381           0 :                 hgtMea += (float)(ekfGpsRefHgt - 0.01 * (double)EKF_origin.alt);
    1382             :             }
    1383        1912 :             velPosObs[5] = -hgtMea;
    1384             :             // enable fusion
    1385        1912 :             fuseHgtData = true;
    1386             :             // set the observation noise
    1387        1912 :             posDownObsNoise = sq(constrain_ftype(frontend->_rngNoise, 0.1f, 10.0f));
    1388             :             // add uncertainty created by terrain gradient and vehicle tilt
    1389        1912 :             posDownObsNoise += sq(rangeDataDelayed.rng * frontend->_terrGradMax) * MAX(0.0f , (1.0f - sq(prevTnb.c.z)));
    1390             :         } else {
    1391             :             // disable fusion if tilted too far
    1392           0 :             fuseHgtData = false;
    1393             :         }
    1394    18750159 :     } else if (gpsDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::GPS)) {
    1395             :         // using GPS data
    1396        1581 :         hgtMea = gpsDataDelayed.hgt;
    1397        1581 :         velPosObs[5] = -hgtMea;
    1398             :         // enable fusion
    1399        1581 :         fuseHgtData = true;
    1400             :         // set the observation noise using receiver reported accuracy or the horizontal noise scaled for typical VDOP/HDOP ratio
    1401        1581 :         if (gpsHgtAccuracy > 0.0f) {
    1402        1581 :             posDownObsNoise = sq(constrain_ftype(gpsHgtAccuracy, 1.5f * frontend->_gpsHorizPosNoise, 100.0f));
    1403             :         } else {
    1404           0 :             posDownObsNoise = sq(constrain_ftype(1.5f * frontend->_gpsHorizPosNoise, 0.1f, 10.0f));
    1405             :         }
    1406    18748578 :     } else if (baroDataToFuse && (activeHgtSource == AP_NavEKF_Source::SourceZ::BARO)) {
    1407             :         // using Baro data
    1408     2796826 :         hgtMea = baroDataDelayed.hgt - baroHgtOffset;
    1409             :         // correct sensor so that local position height adjusts to match GPS
    1410     2796826 :         if (frontend->_originHgtMode & (1 << 0) && frontend->_originHgtMode & (1 << 2)) {
    1411       31208 :             hgtMea += (float)(ekfGpsRefHgt - 0.01 * (double)EKF_origin.alt);
    1412             :         }
    1413             :         // enable fusion
    1414     2796826 :         fuseHgtData = true;
    1415             :         // set the observation noise
    1416     2796826 :         posDownObsNoise = sq(constrain_ftype(frontend->_baroAltNoise, 0.01f, 100.0f));
    1417             :         // reduce weighting (increase observation noise) on baro if we are likely to be experiencing rotor wash ground interaction
    1418     2796826 :         if (dal.get_takeoff_expected() || dal.get_touchdown_expected()) {
    1419      154295 :             posDownObsNoise *= frontend->gndEffectBaroScaler;
    1420             :         }
    1421     2796826 :         velPosObs[5] = -hgtMea;
    1422    15951752 :     } else if ((activeHgtSource == AP_NavEKF_Source::SourceZ::NONE && imuSampleTime_ms - lastHgtPassTime_ms > 70)) {
    1423             :         // fuse a constant height of 0 at 14 Hz
    1424           0 :         hgtMea = 0.0f;
    1425           0 :         fuseHgtData = true;
    1426           0 :         velPosObs[5] = -hgtMea;
    1427           0 :         if (onGround) {
    1428             :             // use a typical vertical positoin observation noise when not flying for faster IMU delta velocity bias estimation
    1429           0 :             posDownObsNoise = sq(2.0f);
    1430             :         } else {
    1431             :             // alow a larger value when flying to accomodate vertical maneouvres
    1432           0 :             posDownObsNoise = sq(constrain_ftype(frontend->_baroAltNoise, 2.0f, 100.0f));
    1433             :         }
    1434             :     } else {
    1435    15951752 :         fuseHgtData = false;
    1436             :     }
    1437             : 
    1438             :     // detect changes in source and reset height
    1439    18761238 :     if ((activeHgtSource != prevHgtSource) && fuseHgtData) {
    1440          25 :         prevHgtSource = activeHgtSource;
    1441          25 :         ResetPositionD(-hgtMea);
    1442             :     }
    1443             : 
    1444             :     // If we haven't fused height data for a while or have bad IMU data, then declare the height data as being timed out
    1445             :     // set height timeout period based on whether we have vertical GPS velocity available to constrain drift
    1446    18761238 :     hgtRetryTime_ms = ((useGpsVertVel || useExtNavVel) && !velTimeout) ? frontend->hgtRetryTimeMode0_ms : frontend->hgtRetryTimeMode12_ms;
    1447    18761238 :     if (imuSampleTime_ms - lastHgtPassTime_ms > hgtRetryTime_ms ||
    1448    18756883 :         (badIMUdata &&
    1449       17120 :         (imuSampleTime_ms - goodIMUdata_ms > BAD_IMU_DATA_TIMEOUT_MS))) {
    1450        4387 :         hgtTimeout = true;
    1451             :     } else {
    1452    18756851 :         hgtTimeout = false;
    1453             :     }
    1454    18761238 : }
    1455             : 
    1456             : #if EK3_FEATURE_BODY_ODOM
    1457             : /*
    1458             :  * Fuse body frame velocity measurements using explicit algebraic equations generated with Matlab symbolic toolbox.
    1459             :  * The script file used to generate these and other equations in this filter can be found here:
    1460             :  * https://github.com/PX4/ecl/blob/master/matlab/scripts/Inertial%20Nav%20EKF/GenerateNavFilterEquations.m
    1461             : */
    1462        4168 : void NavEKF3_core::FuseBodyVel()
    1463             : {
    1464             :     Vector24 H_VEL;
    1465        4168 :     Vector3F bodyVelPred;
    1466             : 
    1467             :     // Copy required states to local variable names
    1468        4168 :     ftype q0  = stateStruct.quat[0];
    1469        4168 :     ftype q1 = stateStruct.quat[1];
    1470        4168 :     ftype q2 = stateStruct.quat[2];
    1471        4168 :     ftype q3 = stateStruct.quat[3];
    1472        4168 :     ftype vn = stateStruct.velocity.x;
    1473        4168 :     ftype ve = stateStruct.velocity.y;
    1474        4168 :     ftype vd = stateStruct.velocity.z;
    1475             : 
    1476             :     // Fuse X, Y and Z axis measurements sequentially assuming observation errors are uncorrelated
    1477       16672 :     for (uint8_t obsIndex=0; obsIndex<=2; obsIndex++) {
    1478             : 
    1479             :         // calculate relative velocity in sensor frame including the relative motion due to rotation
    1480       12504 :         bodyVelPred = (prevTnb * stateStruct.velocity);
    1481             : 
    1482             :         // correct sensor offset body frame position offset relative to IMU
    1483       12504 :         Vector3F posOffsetBody = bodyOdmDataDelayed.body_offset - accelPosOffset;
    1484             : 
    1485             :         // correct prediction for relative motion due to rotation
    1486             :         // note - % operator overloaded for cross product
    1487       12504 :         if (imuDataDelayed.delAngDT > 0.001f) {
    1488       12504 :             bodyVelPred += (imuDataDelayed.delAng * (1.0f / imuDataDelayed.delAngDT)) % posOffsetBody;
    1489             :         }
    1490             : 
    1491             :         // calculate observation jacobians and Kalman gains
    1492       12504 :         if (obsIndex == 0) {
    1493             :             // calculate X axis observation Jacobian
    1494        4168 :             H_VEL[0] = q2*vd*-2.0f+q3*ve*2.0f+q0*vn*2.0f;
    1495        4168 :             H_VEL[1] = q3*vd*2.0f+q2*ve*2.0f+q1*vn*2.0f;
    1496        4168 :             H_VEL[2] = q0*vd*-2.0f+q1*ve*2.0f-q2*vn*2.0f;
    1497        4168 :             H_VEL[3] = q1*vd*2.0f+q0*ve*2.0f-q3*vn*2.0f;
    1498        4168 :             H_VEL[4] = q0*q0+q1*q1-q2*q2-q3*q3;
    1499        4168 :             H_VEL[5] = q0*q3*2.0f+q1*q2*2.0f;
    1500        4168 :             H_VEL[6] = q0*q2*-2.0f+q1*q3*2.0f;
    1501             :             for (uint8_t index = 7; index < 24; index++) {
    1502             :                 H_VEL[index] = 0.0f;
    1503             :             }
    1504             : 
    1505             :             // calculate intermediate expressions for X axis Kalman gains
    1506        4168 :             ftype R_VEL = sq(bodyOdmDataDelayed.velErr);
    1507        4168 :             ftype t2 = q0*q3*2.0f;
    1508        4168 :             ftype t3 = q1*q2*2.0f;
    1509        4168 :             ftype t4 = t2+t3;
    1510        4168 :             ftype t5 = q0*q0;
    1511        4168 :             ftype t6 = q1*q1;
    1512        4168 :             ftype t7 = q2*q2;
    1513        4168 :             ftype t8 = q3*q3;
    1514        4168 :             ftype t9 = t5+t6-t7-t8;
    1515        4168 :             ftype t10 = q0*q2*2.0f;
    1516        4168 :             ftype t25 = q1*q3*2.0f;
    1517        4168 :             ftype t11 = t10-t25;
    1518        4168 :             ftype t12 = q3*ve*2.0f;
    1519        4168 :             ftype t13 = q0*vn*2.0f;
    1520        4168 :             ftype t26 = q2*vd*2.0f;
    1521        4168 :             ftype t14 = t12+t13-t26;
    1522        4168 :             ftype t15 = q3*vd*2.0f;
    1523        4168 :             ftype t16 = q2*ve*2.0f;
    1524        4168 :             ftype t17 = q1*vn*2.0f;
    1525        4168 :             ftype t18 = t15+t16+t17;
    1526        4168 :             ftype t19 = q0*vd*2.0f;
    1527        4168 :             ftype t20 = q2*vn*2.0f;
    1528        4168 :             ftype t27 = q1*ve*2.0f;
    1529        4168 :             ftype t21 = t19+t20-t27;
    1530        4168 :             ftype t22 = q1*vd*2.0f;
    1531        4168 :             ftype t23 = q0*ve*2.0f;
    1532        4168 :             ftype t28 = q3*vn*2.0f;
    1533        4168 :             ftype t24 = t22+t23-t28;
    1534        4168 :             ftype t29 = P[0][0]*t14;
    1535        4168 :             ftype t30 = P[1][1]*t18;
    1536        4168 :             ftype t31 = P[4][5]*t9;
    1537        4168 :             ftype t32 = P[5][5]*t4;
    1538        4168 :             ftype t33 = P[0][5]*t14;
    1539        4168 :             ftype t34 = P[1][5]*t18;
    1540        4168 :             ftype t35 = P[3][5]*t24;
    1541        4168 :             ftype t79 = P[6][5]*t11;
    1542        4168 :             ftype t80 = P[2][5]*t21;
    1543        4168 :             ftype t36 = t31+t32+t33+t34+t35-t79-t80;
    1544        4168 :             ftype t37 = t4*t36;
    1545        4168 :             ftype t38 = P[4][6]*t9;
    1546        4168 :             ftype t39 = P[5][6]*t4;
    1547        4168 :             ftype t40 = P[0][6]*t14;
    1548        4168 :             ftype t41 = P[1][6]*t18;
    1549        4168 :             ftype t42 = P[3][6]*t24;
    1550        4168 :             ftype t81 = P[6][6]*t11;
    1551        4168 :             ftype t82 = P[2][6]*t21;
    1552        4168 :             ftype t43 = t38+t39+t40+t41+t42-t81-t82;
    1553        4168 :             ftype t44 = P[4][0]*t9;
    1554        4168 :             ftype t45 = P[5][0]*t4;
    1555        4168 :             ftype t46 = P[1][0]*t18;
    1556        4168 :             ftype t47 = P[3][0]*t24;
    1557        4168 :             ftype t84 = P[6][0]*t11;
    1558        4168 :             ftype t85 = P[2][0]*t21;
    1559        4168 :             ftype t48 = t29+t44+t45+t46+t47-t84-t85;
    1560        4168 :             ftype t49 = t14*t48;
    1561        4168 :             ftype t50 = P[4][1]*t9;
    1562        4168 :             ftype t51 = P[5][1]*t4;
    1563        4168 :             ftype t52 = P[0][1]*t14;
    1564        4168 :             ftype t53 = P[3][1]*t24;
    1565        4168 :             ftype t86 = P[6][1]*t11;
    1566        4168 :             ftype t87 = P[2][1]*t21;
    1567        4168 :             ftype t54 = t30+t50+t51+t52+t53-t86-t87;
    1568        4168 :             ftype t55 = t18*t54;
    1569        4168 :             ftype t56 = P[4][2]*t9;
    1570        4168 :             ftype t57 = P[5][2]*t4;
    1571        4168 :             ftype t58 = P[0][2]*t14;
    1572        4168 :             ftype t59 = P[1][2]*t18;
    1573        4168 :             ftype t60 = P[3][2]*t24;
    1574        4168 :             ftype t78 = P[2][2]*t21;
    1575        4168 :             ftype t88 = P[6][2]*t11;
    1576        4168 :             ftype t61 = t56+t57+t58+t59+t60-t78-t88;
    1577        4168 :             ftype t62 = P[4][3]*t9;
    1578        4168 :             ftype t63 = P[5][3]*t4;
    1579        4168 :             ftype t64 = P[0][3]*t14;
    1580        4168 :             ftype t65 = P[1][3]*t18;
    1581        4168 :             ftype t66 = P[3][3]*t24;
    1582        4168 :             ftype t90 = P[6][3]*t11;
    1583        4168 :             ftype t91 = P[2][3]*t21;
    1584        4168 :             ftype t67 = t62+t63+t64+t65+t66-t90-t91;
    1585        4168 :             ftype t68 = t24*t67;
    1586        4168 :             ftype t69 = P[4][4]*t9;
    1587        4168 :             ftype t70 = P[5][4]*t4;
    1588        4168 :             ftype t71 = P[0][4]*t14;
    1589        4168 :             ftype t72 = P[1][4]*t18;
    1590        4168 :             ftype t73 = P[3][4]*t24;
    1591        4168 :             ftype t92 = P[6][4]*t11;
    1592        4168 :             ftype t93 = P[2][4]*t21;
    1593        4168 :             ftype t74 = t69+t70+t71+t72+t73-t92-t93;
    1594        4168 :             ftype t75 = t9*t74;
    1595        4168 :             ftype t83 = t11*t43;
    1596        4168 :             ftype t89 = t21*t61;
    1597        4168 :             ftype t76 = R_VEL+t37+t49+t55+t68+t75-t83-t89;
    1598             :             ftype t77;
    1599             : 
    1600             :             // calculate innovation variance for X axis observation and protect against a badly conditioned calculation
    1601        4168 :             if (t76 > R_VEL) {
    1602        4168 :                 t77 = 1.0f/t76;
    1603        4168 :                 faultStatus.bad_xvel = false;
    1604             :             } else {
    1605             :                 t76 = R_VEL;
    1606             :                 t77 = 1.0f/R_VEL;
    1607           0 :                 faultStatus.bad_xvel = true;
    1608           0 :                 return;
    1609             :             }
    1610        4168 :             varInnovBodyVel[0] = t76;
    1611             : 
    1612             :             // calculate innovation for X axis observation
    1613        4168 :             innovBodyVel[0] = bodyVelPred.x - bodyOdmDataDelayed.vel.x;
    1614             : 
    1615             :             // calculate Kalman gains for X-axis observation
    1616        4168 :             Kfusion[0] = t77*(t29+P[0][5]*t4+P[0][4]*t9-P[0][6]*t11+P[0][1]*t18-P[0][2]*t21+P[0][3]*t24);
    1617        4168 :             Kfusion[1] = t77*(t30+P[1][5]*t4+P[1][4]*t9+P[1][0]*t14-P[1][6]*t11-P[1][2]*t21+P[1][3]*t24);
    1618        4168 :             Kfusion[2] = t77*(-t78+P[2][5]*t4+P[2][4]*t9+P[2][0]*t14-P[2][6]*t11+P[2][1]*t18+P[2][3]*t24);
    1619        4168 :             Kfusion[3] = t77*(t66+P[3][5]*t4+P[3][4]*t9+P[3][0]*t14-P[3][6]*t11+P[3][1]*t18-P[3][2]*t21);
    1620        4168 :             Kfusion[4] = t77*(t69+P[4][5]*t4+P[4][0]*t14-P[4][6]*t11+P[4][1]*t18-P[4][2]*t21+P[4][3]*t24);
    1621        4168 :             Kfusion[5] = t77*(t32+P[5][4]*t9+P[5][0]*t14-P[5][6]*t11+P[5][1]*t18-P[5][2]*t21+P[5][3]*t24);
    1622        4168 :             Kfusion[6] = t77*(-t81+P[6][5]*t4+P[6][4]*t9+P[6][0]*t14+P[6][1]*t18-P[6][2]*t21+P[6][3]*t24);
    1623             : 
    1624             :             // values to calculate in Kfusion (others are set to zero, indices 0-6 ignored)
    1625             :             uint32_t kalman_mask = (1<<7) | (1<<8) | (1<<9);
    1626             : 
    1627        4168 :             if (!inhibitDelAngBiasStates) {
    1628             :                 kalman_mask |= (1<<10) | (1<<11) | (1<<12);
    1629             :             }
    1630             : 
    1631        4168 :             if (!inhibitDelVelBiasStates && !badIMUdata) {
    1632       16488 :                 for (uint8_t index = 0; index < 3; index++) {
    1633       12366 :                     const uint8_t stateIndex = index + 13;
    1634       12366 :                     if (!dvelBiasAxisInhibit[index]) {
    1635        9472 :                         kalman_mask |= (1<<stateIndex);
    1636             :                     }
    1637             :                 }
    1638             :             }
    1639             : 
    1640        4168 :             if (!inhibitMagStates) {
    1641        2150 :                 kalman_mask |= (1<<16) | (1<<17) | (1<<18) | (1<<19) | (1<<20) | (1<<21);
    1642             :             }
    1643             : 
    1644        4168 :             if (!inhibitWindStates && !treatWindStatesAsTruth) {
    1645           0 :                 kalman_mask |= (1<<22) | (1<<23);
    1646             :             }
    1647             : 
    1648       75024 :             for (auto i=7; i<24; i++) { // 0-6 are already computed
    1649             :                 ftype res = 0;
    1650       70856 :                 if (kalman_mask & (1<<i)) {
    1651       47242 :                     res = t77*(P[i][5]*t4+P[i][4]*t9+P[i][0]*t14-P[i][6]*t11+P[i][1]*t18-P[i][2]*t21+P[i][3]*t24);
    1652             :                 }
    1653       70856 :                 Kfusion[i] = res;
    1654             :             }
    1655        8336 :         } else if (obsIndex == 1) {
    1656             :             // calculate Y axis observation Jacobian
    1657        4168 :             H_VEL[0] = q1*vd*2.0f+q0*ve*2.0f-q3*vn*2.0f;
    1658        4168 :             H_VEL[1] = q0*vd*2.0f-q1*ve*2.0f+q2*vn*2.0f;
    1659        4168 :             H_VEL[2] = q3*vd*2.0f+q2*ve*2.0f+q1*vn*2.0f;
    1660        4168 :             H_VEL[3] = q2*vd*2.0f-q3*ve*2.0f-q0*vn*2.0f;
    1661        4168 :             H_VEL[4] = q0*q3*-2.0f+q1*q2*2.0f;
    1662        4168 :             H_VEL[5] = q0*q0-q1*q1+q2*q2-q3*q3;
    1663        4168 :             H_VEL[6] = q0*q1*2.0f+q2*q3*2.0f;
    1664             :             for (uint8_t index = 7; index < 24; index++) {
    1665             :                 H_VEL[index] = 0.0f;
    1666             :             }
    1667             : 
    1668             :             // calculate intermediate expressions for Y axis Kalman gains
    1669        4168 :             ftype R_VEL = sq(bodyOdmDataDelayed.velErr);
    1670             :             ftype t2 = q0*q3*2.0f;
    1671             :             ftype t9 = q1*q2*2.0f;
    1672        4168 :             ftype t3 = t2-t9;
    1673             :             ftype t4 = q0*q0;
    1674             :             ftype t5 = q1*q1;
    1675             :             ftype t6 = q2*q2;
    1676             :             ftype t7 = q3*q3;
    1677             :             ftype t8 = t4-t5+t6-t7;
    1678             :             ftype t10 = q0*q1*2.0f;
    1679             :             ftype t11 = q2*q3*2.0f;
    1680             :             ftype t12 = t10+t11;
    1681             :             ftype t13 = q1*vd*2.0f;
    1682             :             ftype t14 = q0*ve*2.0f;
    1683             :             ftype t26 = q3*vn*2.0f;
    1684             :             ftype t15 = t13+t14-t26;
    1685             :             ftype t16 = q0*vd*2.0f;
    1686             :             ftype t17 = q2*vn*2.0f;
    1687             :             ftype t27 = q1*ve*2.0f;
    1688        4168 :             ftype t18 = t16+t17-t27;
    1689             :             ftype t19 = q3*vd*2.0f;
    1690             :             ftype t20 = q2*ve*2.0f;
    1691             :             ftype t21 = q1*vn*2.0f;
    1692             :             ftype t22 = t19+t20+t21;
    1693             :             ftype t23 = q3*ve*2.0f;
    1694             :             ftype t24 = q0*vn*2.0f;
    1695             :             ftype t28 = q2*vd*2.0f;
    1696        4168 :             ftype t25 = t23+t24-t28;
    1697        4168 :             ftype t29 = P[0][0]*t15;
    1698        4168 :             ftype t30 = P[1][1]*t18;
    1699        4168 :             ftype t31 = P[5][4]*t8;
    1700        4168 :             ftype t32 = P[6][4]*t12;
    1701        4168 :             ftype t33 = P[0][4]*t15;
    1702        4168 :             ftype t34 = P[1][4]*t18;
    1703        4168 :             ftype t35 = P[2][4]*t22;
    1704        4168 :             ftype t78 = P[4][4]*t3;
    1705        4168 :             ftype t79 = P[3][4]*t25;
    1706        4168 :             ftype t36 = t31+t32+t33+t34+t35-t78-t79;
    1707        4168 :             ftype t37 = P[5][6]*t8;
    1708        4168 :             ftype t38 = P[6][6]*t12;
    1709        4168 :             ftype t39 = P[0][6]*t15;
    1710        4168 :             ftype t40 = P[1][6]*t18;
    1711        4168 :             ftype t41 = P[2][6]*t22;
    1712        4168 :             ftype t81 = P[4][6]*t3;
    1713        4168 :             ftype t82 = P[3][6]*t25;
    1714        4168 :             ftype t42 = t37+t38+t39+t40+t41-t81-t82;
    1715        4168 :             ftype t43 = t12*t42;
    1716        4168 :             ftype t44 = P[5][0]*t8;
    1717        4168 :             ftype t45 = P[6][0]*t12;
    1718        4168 :             ftype t46 = P[1][0]*t18;
    1719        4168 :             ftype t47 = P[2][0]*t22;
    1720        4168 :             ftype t83 = P[4][0]*t3;
    1721        4168 :             ftype t84 = P[3][0]*t25;
    1722        4168 :             ftype t48 = t29+t44+t45+t46+t47-t83-t84;
    1723        4168 :             ftype t49 = t15*t48;
    1724        4168 :             ftype t50 = P[5][1]*t8;
    1725        4168 :             ftype t51 = P[6][1]*t12;
    1726        4168 :             ftype t52 = P[0][1]*t15;
    1727        4168 :             ftype t53 = P[2][1]*t22;
    1728        4168 :             ftype t85 = P[4][1]*t3;
    1729        4168 :             ftype t86 = P[3][1]*t25;
    1730        4168 :             ftype t54 = t30+t50+t51+t52+t53-t85-t86;
    1731        4168 :             ftype t55 = t18*t54;
    1732        4168 :             ftype t56 = P[5][2]*t8;
    1733        4168 :             ftype t57 = P[6][2]*t12;
    1734        4168 :             ftype t58 = P[0][2]*t15;
    1735        4168 :             ftype t59 = P[1][2]*t18;
    1736        4168 :             ftype t60 = P[2][2]*t22;
    1737        4168 :             ftype t87 = P[4][2]*t3;
    1738        4168 :             ftype t88 = P[3][2]*t25;
    1739        4168 :             ftype t61 = t56+t57+t58+t59+t60-t87-t88;
    1740        4168 :             ftype t62 = t22*t61;
    1741        4168 :             ftype t63 = P[5][3]*t8;
    1742        4168 :             ftype t64 = P[6][3]*t12;
    1743        4168 :             ftype t65 = P[0][3]*t15;
    1744        4168 :             ftype t66 = P[1][3]*t18;
    1745        4168 :             ftype t67 = P[2][3]*t22;
    1746        4168 :             ftype t89 = P[4][3]*t3;
    1747        4168 :             ftype t90 = P[3][3]*t25;
    1748        4168 :             ftype t68 = t63+t64+t65+t66+t67-t89-t90;
    1749        4168 :             ftype t69 = P[5][5]*t8;
    1750        4168 :             ftype t70 = P[6][5]*t12;
    1751        4168 :             ftype t71 = P[0][5]*t15;
    1752        4168 :             ftype t72 = P[1][5]*t18;
    1753        4168 :             ftype t73 = P[2][5]*t22;
    1754        4168 :             ftype t92 = P[4][5]*t3;
    1755        4168 :             ftype t93 = P[3][5]*t25;
    1756        4168 :             ftype t74 = t69+t70+t71+t72+t73-t92-t93;
    1757        4168 :             ftype t75 = t8*t74;
    1758        4168 :             ftype t80 = t3*t36;
    1759        4168 :             ftype t91 = t25*t68;
    1760        4168 :             ftype t76 = R_VEL+t43+t49+t55+t62+t75-t80-t91;
    1761             :             ftype t77;
    1762             : 
    1763             :             // calculate innovation variance for Y axis observation and protect against a badly conditioned calculation
    1764        4168 :             if (t76 > R_VEL) {
    1765        4168 :                 t77 = 1.0f/t76;
    1766        4168 :                 faultStatus.bad_yvel = false;
    1767             :             } else {
    1768             :                 t76 = R_VEL;
    1769             :                 t77 = 1.0f/R_VEL;
    1770           0 :                 faultStatus.bad_yvel = true;
    1771           0 :                 return;
    1772             :             }
    1773        4168 :             varInnovBodyVel[1] = t76;
    1774             : 
    1775             :             // calculate innovation for Y axis observation
    1776        4168 :             innovBodyVel[1] = bodyVelPred.y - bodyOdmDataDelayed.vel.y;
    1777             : 
    1778             :             // calculate Kalman gains for Y-axis observation
    1779        4168 :             Kfusion[0] = t77*(t29-P[0][4]*t3+P[0][5]*t8+P[0][6]*t12+P[0][1]*t18+P[0][2]*t22-P[0][3]*t25);
    1780        4168 :             Kfusion[1] = t77*(t30-P[1][4]*t3+P[1][5]*t8+P[1][0]*t15+P[1][6]*t12+P[1][2]*t22-P[1][3]*t25);
    1781        4168 :             Kfusion[2] = t77*(t60-P[2][4]*t3+P[2][5]*t8+P[2][0]*t15+P[2][6]*t12+P[2][1]*t18-P[2][3]*t25);
    1782        4168 :             Kfusion[3] = t77*(-t90-P[3][4]*t3+P[3][5]*t8+P[3][0]*t15+P[3][6]*t12+P[3][1]*t18+P[3][2]*t22);
    1783        4168 :             Kfusion[4] = t77*(-t78+P[4][5]*t8+P[4][0]*t15+P[4][6]*t12+P[4][1]*t18+P[4][2]*t22-P[4][3]*t25);
    1784        4168 :             Kfusion[5] = t77*(t69-P[5][4]*t3+P[5][0]*t15+P[5][6]*t12+P[5][1]*t18+P[5][2]*t22-P[5][3]*t25);
    1785        4168 :             Kfusion[6] = t77*(t38-P[6][4]*t3+P[6][5]*t8+P[6][0]*t15+P[6][1]*t18+P[6][2]*t22-P[6][3]*t25);
    1786             : 
    1787             :             // values to calculate in Kfusion (others are set to zero, indices 0-6 ignored)
    1788             :             uint32_t kalman_mask = (1<<7) | (1<<8) | (1<<9);
    1789             : 
    1790        4168 :             if (!inhibitDelAngBiasStates) {
    1791             :                 kalman_mask |= (1<<10) | (1<<11) | (1<<12);
    1792             :             }
    1793             : 
    1794        4168 :             if (!inhibitDelVelBiasStates && !badIMUdata) {
    1795       16488 :                 for (uint8_t index = 0; index < 3; index++) {
    1796       12366 :                     const uint8_t stateIndex = index + 13;
    1797       12366 :                     if (!dvelBiasAxisInhibit[index]) {
    1798        9472 :                         kalman_mask |= (1<<stateIndex);
    1799             :                     }
    1800             :                 }
    1801             :             }
    1802             : 
    1803        4168 :             if (!inhibitMagStates) {
    1804        2150 :                 kalman_mask |= (1<<16) | (1<<17) | (1<<18) | (1<<19) | (1<<20) | (1<<21);
    1805             :             }
    1806             : 
    1807        4168 :             if (!inhibitWindStates && !treatWindStatesAsTruth) {
    1808           0 :                 kalman_mask |= (1<<22) | (1<<23);
    1809             :             }
    1810             : 
    1811       75024 :             for (auto i=7; i<24; i++) { // 0-6 are already computed
    1812             :                 ftype res = 0;
    1813       70856 :                 if (kalman_mask & (1<<i)) {
    1814       47242 :                     res = t77*(-P[i][4]*t3+P[i][5]*t8+P[i][0]*t15+P[i][6]*t12+P[i][1]*t18+P[i][2]*t22-P[i][3]*t25);
    1815             :                 }
    1816       70856 :                 Kfusion[i] = res;
    1817             :             }
    1818             :         } else if (obsIndex == 2) {
    1819             :             // calculate Z axis observation Jacobian
    1820        4168 :             H_VEL[0] = q0*vd*2.0f-q1*ve*2.0f+q2*vn*2.0f;
    1821        4168 :             H_VEL[1] = q1*vd*-2.0f-q0*ve*2.0f+q3*vn*2.0f;
    1822        4168 :             H_VEL[2] = q2*vd*-2.0f+q3*ve*2.0f+q0*vn*2.0f;
    1823        4168 :             H_VEL[3] = q3*vd*2.0f+q2*ve*2.0f+q1*vn*2.0f;
    1824        4168 :             H_VEL[4] = q0*q2*2.0f+q1*q3*2.0f;
    1825        4168 :             H_VEL[5] = q0*q1*-2.0f+q2*q3*2.0f;
    1826        4168 :             H_VEL[6] = q0*q0-q1*q1-q2*q2+q3*q3;
    1827             :             for (uint8_t index = 7; index < 24; index++) {
    1828             :                 H_VEL[index] = 0.0f;
    1829             :             }
    1830             : 
    1831             :             // calculate intermediate expressions for Z axis Kalman gains
    1832        4168 :             ftype R_VEL = sq(bodyOdmDataDelayed.velErr);
    1833             :             ftype t2 = q0*q2*2.0f;
    1834             :             ftype t3 = q1*q3*2.0f;
    1835             :             ftype t4 = t2+t3;
    1836             :             ftype t5 = q0*q0;
    1837             :             ftype t6 = q1*q1;
    1838             :             ftype t7 = q2*q2;
    1839             :             ftype t8 = q3*q3;
    1840             :             ftype t9 = t5-t6-t7+t8;
    1841             :             ftype t10 = q0*q1*2.0f;
    1842             :             ftype t25 = q2*q3*2.0f;
    1843        4168 :             ftype t11 = t10-t25;
    1844             :             ftype t12 = q0*vd*2.0f;
    1845             :             ftype t13 = q2*vn*2.0f;
    1846             :             ftype t26 = q1*ve*2.0f;
    1847        4168 :             ftype t14 = t12+t13-t26;
    1848             :             ftype t15 = q1*vd*2.0f;
    1849             :             ftype t16 = q0*ve*2.0f;
    1850             :             ftype t27 = q3*vn*2.0f;
    1851        4168 :             ftype t17 = t15+t16-t27;
    1852             :             ftype t18 = q3*ve*2.0f;
    1853             :             ftype t19 = q0*vn*2.0f;
    1854             :             ftype t28 = q2*vd*2.0f;
    1855        4168 :             ftype t20 = t18+t19-t28;
    1856             :             ftype t21 = q3*vd*2.0f;
    1857             :             ftype t22 = q2*ve*2.0f;
    1858             :             ftype t23 = q1*vn*2.0f;
    1859             :             ftype t24 = t21+t22+t23;
    1860        4168 :             ftype t29 = P[0][0]*t14;
    1861        4168 :             ftype t30 = P[6][4]*t9;
    1862        4168 :             ftype t31 = P[4][4]*t4;
    1863        4168 :             ftype t32 = P[0][4]*t14;
    1864        4168 :             ftype t33 = P[2][4]*t20;
    1865        4168 :             ftype t34 = P[3][4]*t24;
    1866        4168 :             ftype t78 = P[5][4]*t11;
    1867        4168 :             ftype t79 = P[1][4]*t17;
    1868        4168 :             ftype t35 = t30+t31+t32+t33+t34-t78-t79;
    1869        4168 :             ftype t36 = t4*t35;
    1870        4168 :             ftype t37 = P[6][5]*t9;
    1871        4168 :             ftype t38 = P[4][5]*t4;
    1872        4168 :             ftype t39 = P[0][5]*t14;
    1873        4168 :             ftype t40 = P[2][5]*t20;
    1874        4168 :             ftype t41 = P[3][5]*t24;
    1875        4168 :             ftype t80 = P[5][5]*t11;
    1876        4168 :             ftype t81 = P[1][5]*t17;
    1877        4168 :             ftype t42 = t37+t38+t39+t40+t41-t80-t81;
    1878        4168 :             ftype t43 = P[6][0]*t9;
    1879        4168 :             ftype t44 = P[4][0]*t4;
    1880        4168 :             ftype t45 = P[2][0]*t20;
    1881        4168 :             ftype t46 = P[3][0]*t24;
    1882        4168 :             ftype t83 = P[5][0]*t11;
    1883        4168 :             ftype t84 = P[1][0]*t17;
    1884        4168 :             ftype t47 = t29+t43+t44+t45+t46-t83-t84;
    1885        4168 :             ftype t48 = t14*t47;
    1886        4168 :             ftype t49 = P[6][1]*t9;
    1887        4168 :             ftype t50 = P[4][1]*t4;
    1888        4168 :             ftype t51 = P[0][1]*t14;
    1889        4168 :             ftype t52 = P[2][1]*t20;
    1890        4168 :             ftype t53 = P[3][1]*t24;
    1891        4168 :             ftype t85 = P[5][1]*t11;
    1892        4168 :             ftype t86 = P[1][1]*t17;
    1893        4168 :             ftype t54 = t49+t50+t51+t52+t53-t85-t86;
    1894        4168 :             ftype t55 = P[6][2]*t9;
    1895        4168 :             ftype t56 = P[4][2]*t4;
    1896        4168 :             ftype t57 = P[0][2]*t14;
    1897        4168 :             ftype t58 = P[2][2]*t20;
    1898        4168 :             ftype t59 = P[3][2]*t24;
    1899        4168 :             ftype t88 = P[5][2]*t11;
    1900        4168 :             ftype t89 = P[1][2]*t17;
    1901        4168 :             ftype t60 = t55+t56+t57+t58+t59-t88-t89;
    1902        4168 :             ftype t61 = t20*t60;
    1903        4168 :             ftype t62 = P[6][3]*t9;
    1904        4168 :             ftype t63 = P[4][3]*t4;
    1905        4168 :             ftype t64 = P[0][3]*t14;
    1906        4168 :             ftype t65 = P[2][3]*t20;
    1907        4168 :             ftype t66 = P[3][3]*t24;
    1908        4168 :             ftype t90 = P[5][3]*t11;
    1909        4168 :             ftype t91 = P[1][3]*t17;
    1910        4168 :             ftype t67 = t62+t63+t64+t65+t66-t90-t91;
    1911        4168 :             ftype t68 = t24*t67;
    1912        4168 :             ftype t69 = P[6][6]*t9;
    1913        4168 :             ftype t70 = P[4][6]*t4;
    1914        4168 :             ftype t71 = P[0][6]*t14;
    1915        4168 :             ftype t72 = P[2][6]*t20;
    1916        4168 :             ftype t73 = P[3][6]*t24;
    1917        4168 :             ftype t92 = P[5][6]*t11;
    1918        4168 :             ftype t93 = P[1][6]*t17;
    1919        4168 :             ftype t74 = t69+t70+t71+t72+t73-t92-t93;
    1920        4168 :             ftype t75 = t9*t74;
    1921        4168 :             ftype t82 = t11*t42;
    1922        4168 :             ftype t87 = t17*t54;
    1923        4168 :             ftype t76 = R_VEL+t36+t48+t61+t68+t75-t82-t87;
    1924             :             ftype t77;
    1925             : 
    1926             :             // calculate innovation variance for Z axis observation and protect against a badly conditioned calculation
    1927        4168 :             if (t76 > R_VEL) {
    1928        4168 :                 t77 = 1.0f/t76;
    1929        4168 :                 faultStatus.bad_zvel = false;
    1930             :             } else {
    1931             :                 t76 = R_VEL;
    1932             :                 t77 = 1.0f/R_VEL;
    1933           0 :                 faultStatus.bad_zvel = true;
    1934           0 :                 return;
    1935             :             }
    1936        4168 :             varInnovBodyVel[2] = t76;
    1937             : 
    1938             :             // calculate innovation for Z axis observation
    1939        4168 :             innovBodyVel[2] = bodyVelPred.z - bodyOdmDataDelayed.vel.z;
    1940             : 
    1941             :             // calculate Kalman gains for Z-axis observation
    1942        4168 :             Kfusion[0] = t77*(t29+P[0][4]*t4+P[0][6]*t9-P[0][5]*t11-P[0][1]*t17+P[0][2]*t20+P[0][3]*t24);
    1943        4168 :             Kfusion[1] = t77*(P[1][4]*t4+P[1][0]*t14+P[1][6]*t9-P[1][5]*t11-P[1][1]*t17+P[1][2]*t20+P[1][3]*t24);
    1944        4168 :             Kfusion[2] = t77*(t58+P[2][4]*t4+P[2][0]*t14+P[2][6]*t9-P[2][5]*t11-P[2][1]*t17+P[2][3]*t24);
    1945        4168 :             Kfusion[3] = t77*(t66+P[3][4]*t4+P[3][0]*t14+P[3][6]*t9-P[3][5]*t11-P[3][1]*t17+P[3][2]*t20);
    1946        4168 :             Kfusion[4] = t77*(t31+P[4][0]*t14+P[4][6]*t9-P[4][5]*t11-P[4][1]*t17+P[4][2]*t20+P[4][3]*t24);
    1947        4168 :             Kfusion[5] = t77*(-t80+P[5][4]*t4+P[5][0]*t14+P[5][6]*t9-P[5][1]*t17+P[5][2]*t20+P[5][3]*t24);
    1948        4168 :             Kfusion[6] = t77*(t69+P[6][4]*t4+P[6][0]*t14-P[6][5]*t11-P[6][1]*t17+P[6][2]*t20+P[6][3]*t24);
    1949             : 
    1950             :             // values to calculate in Kfusion (others are set to zero, indices 0-6 ignored)
    1951             :             uint32_t kalman_mask = (1<<7) | (1<<8) | (1<<9);
    1952             : 
    1953        4168 :             if (!inhibitDelAngBiasStates) {
    1954             :                 kalman_mask |= (1<<10) | (1<<11) | (1<<12);
    1955             :             }
    1956             : 
    1957        4168 :             if (!inhibitDelVelBiasStates && !badIMUdata) {
    1958       16488 :                 for (uint8_t index = 0; index < 3; index++) {
    1959       12366 :                     const uint8_t stateIndex = index + 13;
    1960       12366 :                     if (!dvelBiasAxisInhibit[index]) {
    1961        9472 :                         kalman_mask |= (1<<stateIndex);
    1962             :                     }
    1963             :                 }
    1964             :             }
    1965             : 
    1966        4168 :             if (!inhibitMagStates) {
    1967        2150 :                 kalman_mask |= (1<<16) | (1<<17) | (1<<18) | (1<<19) | (1<<20) | (1<<21);
    1968             :             }
    1969             : 
    1970        4168 :             if (!inhibitWindStates && !treatWindStatesAsTruth) {
    1971           0 :                 kalman_mask |= (1<<22) | (1<<23);
    1972             :             }
    1973             : 
    1974       75024 :             for (auto i=7; i<24; i++) { // 0-6 are already computed
    1975             :                 ftype res = 0;
    1976       70856 :                 if (kalman_mask & (1<<i)) {
    1977       47242 :                     res = t77*(P[i][4]*t4+P[i][0]*t14+P[i][6]*t9-P[i][5]*t11-P[i][1]*t17+P[i][2]*t20+P[i][3]*t24);
    1978             :                 }
    1979       70856 :                 Kfusion[i] = res;
    1980             :             }
    1981             :         } else {
    1982             :             return;
    1983             :         }
    1984             : 
    1985             :         // calculate the innovation consistency test ratio
    1986             :         // TODO add tuning parameter for gate
    1987       12504 :         bodyVelTestRatio[obsIndex] = sq(innovBodyVel[obsIndex]) / (sq(5.0f) * varInnovBodyVel[obsIndex]);
    1988             : 
    1989             :         // Check the innovation for consistency and don't fuse if out of bounds
    1990             :         // TODO also apply angular velocity magnitude check
    1991       12504 :         if ((bodyVelTestRatio[obsIndex]) < 1.0f) {
    1992             :             // record the last time observations were accepted for fusion
    1993       12504 :             prevBodyVelFuseTime_ms = imuSampleTime_ms;
    1994             :             // notify first time only
    1995       12504 :             if (!bodyVelFusionActive) {
    1996           6 :                 bodyVelFusionActive = true;
    1997           6 :                 GCS_SEND_TEXT(MAV_SEVERITY_INFO, "EKF3 IMU%u fusing odometry",(unsigned)imu_index);
    1998             :             }
    1999             : 
    2000             :             // correct the covariance P = (I - K*H)*P = P - K*H*P. take advantage of
    2001             :             // the zero elements of H to reduce the number of operations.
    2002      250440 :             for (unsigned i = 0; i<=stateIndexLim; i++) {
    2003             :                 // j as the inner loop allows the compiler to hoist the KH product
    2004             :                 // to save computation, and do the inner indexing more efficiently.
    2005     4888032 :                 for (unsigned j = 0; j<=stateIndexLim; j++) {
    2006             :                     ftype res = 0;
    2007     4650096 :                     res += (Kfusion[i] * H_VEL[0]) * P[0][j];
    2008     4650096 :                     res += (Kfusion[i] * H_VEL[1]) * P[1][j];
    2009     4650096 :                     res += (Kfusion[i] * H_VEL[2]) * P[2][j];
    2010     4650096 :                     res += (Kfusion[i] * H_VEL[3]) * P[3][j];
    2011     4650096 :                     res += (Kfusion[i] * H_VEL[4]) * P[4][j];
    2012     4650096 :                     res += (Kfusion[i] * H_VEL[5]) * P[5][j];
    2013     4650096 :                     res += (Kfusion[i] * H_VEL[6]) * P[6][j];
    2014     4650096 :                     KHP[i][j] = res;
    2015             :                 }
    2016             :             }
    2017             : 
    2018             :             // finish fusion from KHP and Kfusion
    2019       12504 :             if (FinishFusion(innovBodyVel[obsIndex])) {
    2020             :                 // fault, record bad axis
    2021           0 :                 if (obsIndex == 0) {
    2022           0 :                     faultStatus.bad_xvel = true;
    2023           0 :                 } else if (obsIndex == 1) {
    2024           0 :                     faultStatus.bad_yvel = true;
    2025             :                 } else if (obsIndex == 2) {
    2026           0 :                     faultStatus.bad_zvel = true;
    2027             :                 }
    2028             :             }
    2029             :         }
    2030             :     }
    2031             : }
    2032             : #endif // EK3_FEATURE_BODY_ODOM
    2033             : 
    2034             : #if EK3_FEATURE_BODY_ODOM
    2035             : // select fusion of body odometry measurements
    2036    19965274 : void NavEKF3_core::SelectBodyOdomFusion()
    2037             : {
    2038             :     // Check if the magnetometer has been fused on that time step and the filter is running at faster than 200 Hz
    2039             :     // If so, don't fuse measurements on this time step to reduce frame over-runs
    2040             :     // Only allow one time slip to prevent high rate magnetometer data preventing fusion of other measurements
    2041    19965274 :     if (magFusePerformed && (dtIMUavg < 0.005f) && !bodyVelFusionDelayed) {
    2042     1204036 :         bodyVelFusionDelayed = true;
    2043     1204036 :         return;
    2044             :     } else {
    2045    18761238 :         bodyVelFusionDelayed = false;
    2046             :     }
    2047             : 
    2048             :     // Check for body odometry data (aka visual position delta) at the fusion time horizon
    2049    18761238 :     const bool bodyOdomDataToFuse = storedBodyOdm.recall(bodyOdmDataDelayed, imuDataDelayed.time_ms);
    2050    18761238 :     if (bodyOdomDataToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::EXTNAV, core_index)) {
    2051             : 
    2052             :         // Fuse data into the main filter
    2053        4168 :         FuseBodyVel();
    2054             :     }
    2055             : 
    2056             :     // Check for wheel encoder data at the fusion time horizon
    2057    18761238 :     const bool wheelOdomDataToFuse = storedWheelOdm.recall(wheelOdmDataDelayed, imuDataDelayed.time_ms);
    2058    18761238 :     if (wheelOdomDataToFuse && frontend->sources.useVelXYSource(AP_NavEKF_Source::SourceXY::WHEEL_ENCODER, core_index)) {
    2059             : 
    2060             :         // check if the delta time is too small to calculate a velocity
    2061           0 :         if (wheelOdmDataDelayed.delTime > EKF_TARGET_DT) {
    2062             : 
    2063             :             // get the forward velocity
    2064           0 :             ftype fwdSpd = wheelOdmDataDelayed.delAng * wheelOdmDataDelayed.radius * (1.0f / wheelOdmDataDelayed.delTime);
    2065             : 
    2066             :             // get the unit vector from the projection of the X axis onto the horizontal
    2067           0 :             Vector3F unitVec;
    2068           0 :             unitVec.x = prevTnb.a.x;
    2069           0 :             unitVec.y = prevTnb.a.y;
    2070             :             unitVec.z = 0.0f;
    2071           0 :             unitVec.normalize();
    2072             : 
    2073             :             // multiply by forward speed to get velocity vector measured by wheel encoders
    2074           0 :             Vector3F velNED = unitVec * fwdSpd;
    2075             : 
    2076             :             // This is a hack to enable use of the existing body frame velocity fusion method
    2077             :             // TODO write a dedicated observation model for wheel encoders
    2078           0 :             bodyOdmDataDelayed.vel = prevTnb * velNED;
    2079           0 :             bodyOdmDataDelayed.body_offset = wheelOdmDataDelayed.hub_offset;
    2080           0 :             bodyOdmDataDelayed.velErr = frontend->_wencOdmVelErr.get();
    2081             : 
    2082             :             // Fuse data into the main filter
    2083           0 :             FuseBodyVel();
    2084             :         }
    2085             :     }
    2086             : }
    2087             : #endif // EK3_FEATURE_BODY_ODOM

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