// Sub Expressions const float HK0 = q3*ve; const float HK1 = q2*vd; const float HK2 = -HK1; const float HK3 = q2*ve; const float HK4 = q3*vd; const float HK5 = HK3 + HK4; const float HK6 = q1*ve; const float HK7 = q0*vd; const float HK8 = q2*vn; const float HK9 = 2*HK8; const float HK10 = q0*ve; const float HK11 = q1*vd; const float HK12 = q3*vn; const float HK13 = HK10 + HK11 - 2*HK12; const float HK14 = 2*powf(q2, 2); const float HK15 = -HK14; const float HK16 = 2*powf(q3, 2); const float HK17 = 1 - HK16; const float HK18 = q0*q3; const float HK19 = q1*q2; const float HK20 = HK18 + HK19; const float HK21 = q1*q3; const float HK22 = q0*q2; const float HK23 = 2*HK5; const float HK24 = 2*HK20; const float HK25 = -2*HK0 + 2*HK1; const float HK26 = -2*HK21 + 2*HK22; const float HK27 = 2*HK13; const float HK28 = HK16 - 1; const float HK29 = HK14 + HK28; const float HK30 = -HK6; const float HK31 = 2*HK30 + 2*HK7 + 2*HK9; const float HK32 = -HK23*P(0,1) - HK24*P(0,5) + HK25*P(0,0) + HK26*P(0,6) - HK27*P(0,3) + HK29*P(0,4) + HK31*P(0,2); const float HK33 = -HK23*P(1,5) - HK24*P(5,5) + HK25*P(0,5) + HK26*P(5,6) - HK27*P(3,5) + HK29*P(4,5) + HK31*P(2,5); const float HK34 = -HK23*P(1,1) - HK24*P(1,5) + HK25*P(0,1) + HK26*P(1,6) - HK27*P(1,3) + HK29*P(1,4) + HK31*P(1,2); const float HK35 = -HK23*P(1,6) - HK24*P(5,6) + HK25*P(0,6) + HK26*P(6,6) - HK27*P(3,6) + HK29*P(4,6) + HK31*P(2,6); const float HK36 = -HK23*P(1,4) - HK24*P(4,5) + HK25*P(0,4) + HK26*P(4,6) - HK27*P(3,4) + HK29*P(4,4) + HK31*P(2,4); const float HK37 = -HK23*P(1,3) - HK24*P(3,5) + HK25*P(0,3) + HK26*P(3,6) - HK27*P(3,3) + HK29*P(3,4) + HK31*P(2,3); const float HK38 = -HK23*P(1,2) - HK24*P(2,5) + HK25*P(0,2) + HK26*P(2,6) - HK27*P(2,3) + HK29*P(2,4) + HK31*P(2,2); const float HK39 = 1.0F/(-HK23*HK34 - HK24*HK33 + HK25*HK32 + HK26*HK35 - HK27*HK37 + HK29*HK36 + HK31*HK38 + R_VEL); const float HK40 = -HK12; const float HK41 = HK11 + HK40; const float HK42 = -2*HK6 + HK7 + HK8; const float HK43 = q1*vn; const float HK44 = HK4 + HK43; const float HK45 = q0*vn; const float HK46 = 2*HK0; const float HK47 = 2*powf(q1, 2); const float HK48 = -HK47; const float HK49 = q0*q1; const float HK50 = q2*q3; const float HK51 = HK49 + HK50; const float HK52 = 2*HK44; const float HK53 = 2*HK51; const float HK54 = 2*HK41; const float HK55 = 2*HK18 - 2*HK19; const float HK56 = 2*HK42; const float HK57 = 2*HK2 + 2*HK45 + 2*HK46; const float HK58 = HK28 + HK47; const float HK59 = HK52*P(0,2) + HK53*P(0,6) + HK54*P(0,0) - HK55*P(0,4) + HK56*P(0,1) - HK57*P(0,3) - HK58*P(0,5); const float HK60 = HK52*P(2,6) + HK53*P(6,6) + HK54*P(0,6) - HK55*P(4,6) + HK56*P(1,6) - HK57*P(3,6) - HK58*P(5,6); const float HK61 = HK52*P(2,2) + HK53*P(2,6) + HK54*P(0,2) - HK55*P(2,4) + HK56*P(1,2) - HK57*P(2,3) - HK58*P(2,5); const float HK62 = HK52*P(2,4) + HK53*P(4,6) + HK54*P(0,4) - HK55*P(4,4) + HK56*P(1,4) - HK57*P(3,4) - HK58*P(4,5); const float HK63 = HK52*P(1,2) + HK53*P(1,6) + HK54*P(0,1) - HK55*P(1,4) + HK56*P(1,1) - HK57*P(1,3) - HK58*P(1,5); const float HK64 = HK52*P(2,5) + HK53*P(5,6) + HK54*P(0,5) - HK55*P(4,5) + HK56*P(1,5) - HK57*P(3,5) - HK58*P(5,5); const float HK65 = HK52*P(2,3) + HK53*P(3,6) + HK54*P(0,3) - HK55*P(3,4) + HK56*P(1,3) - HK57*P(3,3) - HK58*P(3,5); const float HK66 = 1.0F/(HK52*HK61 + HK53*HK60 + HK54*HK59 - HK55*HK62 + HK56*HK63 - HK57*HK65 - HK58*HK64 + R_VEL); const float HK67 = 2*HK11; const float HK68 = HK0 - 2*HK1 + HK45; const float HK69 = HK3 + HK43; const float HK70 = HK21 + HK22; const float HK71 = 2*HK69; const float HK72 = 2*HK70; const float HK73 = 2*HK6 - 2*HK8; const float HK74 = 2*HK49 - 2*HK50; const float HK75 = 2*HK68; const float HK76 = HK14 + HK47 - 1; const float HK77 = 2*HK10 + 2*HK40 + 2*HK67; const float HK78 = -HK71*P(0,3) - HK72*P(0,4) + HK73*P(0,0) + HK74*P(0,5) - HK75*P(0,2) + HK76*P(0,6) + HK77*P(0,1); const float HK79 = -HK71*P(3,4) - HK72*P(4,4) + HK73*P(0,4) + HK74*P(4,5) - HK75*P(2,4) + HK76*P(4,6) + HK77*P(1,4); const float HK80 = -HK71*P(3,3) - HK72*P(3,4) + HK73*P(0,3) + HK74*P(3,5) - HK75*P(2,3) + HK76*P(3,6) + HK77*P(1,3); const float HK81 = -HK71*P(3,5) - HK72*P(4,5) + HK73*P(0,5) + HK74*P(5,5) - HK75*P(2,5) + HK76*P(5,6) + HK77*P(1,5); const float HK82 = -HK71*P(3,6) - HK72*P(4,6) + HK73*P(0,6) + HK74*P(5,6) - HK75*P(2,6) + HK76*P(6,6) + HK77*P(1,6); const float HK83 = -HK71*P(2,3) - HK72*P(2,4) + HK73*P(0,2) + HK74*P(2,5) - HK75*P(2,2) + HK76*P(2,6) + HK77*P(1,2); const float HK84 = -HK71*P(1,3) - HK72*P(1,4) + HK73*P(0,1) + HK74*P(1,5) - HK75*P(1,2) + HK76*P(1,6) + HK77*P(1,1); const float HK85 = 1.0F/(-HK71*HK80 - HK72*HK79 + HK73*HK78 + HK74*HK81 - HK75*HK83 + HK76*HK82 + HK77*HK84 + R_VEL); // Observation Jacobians - axis 0 Hfusion.at<0>() = 2*HK0 + 2*HK2; Hfusion.at<1>() = 2*HK5; Hfusion.at<2>() = 2*HK6 - 2*HK7 - 2*HK9; Hfusion.at<3>() = 2*HK13; Hfusion.at<4>() = HK15 + HK17; Hfusion.at<5>() = 2*HK20; Hfusion.at<6>() = 2*HK21 - 2*HK22; Hfusion.at<7>() = 0; Hfusion.at<8>() = 0; Hfusion.at<9>() = 0; Hfusion.at<10>() = 0; Hfusion.at<11>() = 0; Hfusion.at<12>() = 0; Hfusion.at<13>() = 0; Hfusion.at<14>() = 0; Hfusion.at<15>() = 0; Hfusion.at<16>() = 0; Hfusion.at<17>() = 0; Hfusion.at<18>() = 0; Hfusion.at<19>() = 0; Hfusion.at<20>() = 0; Hfusion.at<21>() = 0; Hfusion.at<22>() = 0; Hfusion.at<23>() = 0; // Kalman gains - axis 0 Kfusion(0) = -HK32*HK39; Kfusion(1) = -HK34*HK39; Kfusion(2) = -HK38*HK39; Kfusion(3) = -HK37*HK39; Kfusion(4) = -HK36*HK39; Kfusion(5) = -HK33*HK39; Kfusion(6) = -HK35*HK39; Kfusion(7) = -HK39*(-HK23*P(1,7) - HK24*P(5,7) + HK25*P(0,7) + HK26*P(6,7) - HK27*P(3,7) + HK29*P(4,7) + HK31*P(2,7)); Kfusion(8) = -HK39*(-HK23*P(1,8) - HK24*P(5,8) + HK25*P(0,8) + HK26*P(6,8) - HK27*P(3,8) + HK29*P(4,8) + HK31*P(2,8)); Kfusion(9) = -HK39*(-HK23*P(1,9) - HK24*P(5,9) + HK25*P(0,9) + HK26*P(6,9) - HK27*P(3,9) + HK29*P(4,9) + HK31*P(2,9)); Kfusion(10) = -HK39*(-HK23*P(1,10) - HK24*P(5,10) + HK25*P(0,10) + HK26*P(6,10) - HK27*P(3,10) + HK29*P(4,10) + HK31*P(2,10)); Kfusion(11) = -HK39*(-HK23*P(1,11) - HK24*P(5,11) + HK25*P(0,11) + HK26*P(6,11) - HK27*P(3,11) + HK29*P(4,11) + HK31*P(2,11)); Kfusion(12) = -HK39*(-HK23*P(1,12) - HK24*P(5,12) + HK25*P(0,12) + HK26*P(6,12) - HK27*P(3,12) + HK29*P(4,12) + HK31*P(2,12)); Kfusion(13) = -HK39*(-HK23*P(1,13) - HK24*P(5,13) + HK25*P(0,13) + HK26*P(6,13) - HK27*P(3,13) + HK29*P(4,13) + HK31*P(2,13)); Kfusion(14) = -HK39*(-HK23*P(1,14) - HK24*P(5,14) + HK25*P(0,14) + HK26*P(6,14) - HK27*P(3,14) + HK29*P(4,14) + HK31*P(2,14)); Kfusion(15) = -HK39*(-HK23*P(1,15) - HK24*P(5,15) + HK25*P(0,15) + HK26*P(6,15) - HK27*P(3,15) + HK29*P(4,15) + HK31*P(2,15)); Kfusion(16) = -HK39*(-HK23*P(1,16) - HK24*P(5,16) + HK25*P(0,16) + HK26*P(6,16) - HK27*P(3,16) + HK29*P(4,16) + HK31*P(2,16)); Kfusion(17) = -HK39*(-HK23*P(1,17) - HK24*P(5,17) + HK25*P(0,17) + HK26*P(6,17) - HK27*P(3,17) + HK29*P(4,17) + HK31*P(2,17)); Kfusion(18) = -HK39*(-HK23*P(1,18) - HK24*P(5,18) + HK25*P(0,18) + HK26*P(6,18) - HK27*P(3,18) + HK29*P(4,18) + HK31*P(2,18)); Kfusion(19) = -HK39*(-HK23*P(1,19) - HK24*P(5,19) + HK25*P(0,19) + HK26*P(6,19) - HK27*P(3,19) + HK29*P(4,19) + HK31*P(2,19)); Kfusion(20) = -HK39*(-HK23*P(1,20) - HK24*P(5,20) + HK25*P(0,20) + HK26*P(6,20) - HK27*P(3,20) + HK29*P(4,20) + HK31*P(2,20)); Kfusion(21) = -HK39*(-HK23*P(1,21) - HK24*P(5,21) + HK25*P(0,21) + HK26*P(6,21) - HK27*P(3,21) + HK29*P(4,21) + HK31*P(2,21)); Kfusion(22) = -HK39*(-HK23*P(1,22) - HK24*P(5,22) + HK25*P(0,22) + HK26*P(6,22) - HK27*P(3,22) + HK29*P(4,22) + HK31*P(2,22)); Kfusion(23) = -HK39*(-HK23*P(1,23) - HK24*P(5,23) + HK25*P(0,23) + HK26*P(6,23) - HK27*P(3,23) + HK29*P(4,23) + HK31*P(2,23)); // Observation Jacobians - axis 1 Hfusion.at<0>() = 2*HK41; Hfusion.at<1>() = 2*HK42; Hfusion.at<2>() = 2*HK44; Hfusion.at<3>() = 2*HK1 - 2*HK45 - 2*HK46; Hfusion.at<4>() = -2*HK18 + 2*HK19; Hfusion.at<5>() = HK17 + HK48; Hfusion.at<6>() = 2*HK51; Hfusion.at<7>() = 0; Hfusion.at<8>() = 0; Hfusion.at<9>() = 0; Hfusion.at<10>() = 0; Hfusion.at<11>() = 0; Hfusion.at<12>() = 0; Hfusion.at<13>() = 0; Hfusion.at<14>() = 0; Hfusion.at<15>() = 0; Hfusion.at<16>() = 0; Hfusion.at<17>() = 0; Hfusion.at<18>() = 0; Hfusion.at<19>() = 0; Hfusion.at<20>() = 0; Hfusion.at<21>() = 0; Hfusion.at<22>() = 0; Hfusion.at<23>() = 0; // Kalman gains - axis 1 Kfusion(0) = HK59*HK66; Kfusion(1) = HK63*HK66; Kfusion(2) = HK61*HK66; Kfusion(3) = HK65*HK66; Kfusion(4) = HK62*HK66; Kfusion(5) = HK64*HK66; Kfusion(6) = HK60*HK66; Kfusion(7) = HK66*(HK52*P(2,7) + HK53*P(6,7) + HK54*P(0,7) - HK55*P(4,7) + HK56*P(1,7) - HK57*P(3,7) - HK58*P(5,7)); Kfusion(8) = HK66*(HK52*P(2,8) + HK53*P(6,8) + HK54*P(0,8) - HK55*P(4,8) + HK56*P(1,8) - HK57*P(3,8) - HK58*P(5,8)); Kfusion(9) = HK66*(HK52*P(2,9) + HK53*P(6,9) + HK54*P(0,9) - HK55*P(4,9) + HK56*P(1,9) - HK57*P(3,9) - HK58*P(5,9)); Kfusion(10) = HK66*(HK52*P(2,10) + HK53*P(6,10) + HK54*P(0,10) - HK55*P(4,10) + HK56*P(1,10) - HK57*P(3,10) - HK58*P(5,10)); Kfusion(11) = HK66*(HK52*P(2,11) + HK53*P(6,11) + HK54*P(0,11) - HK55*P(4,11) + HK56*P(1,11) - HK57*P(3,11) - HK58*P(5,11)); Kfusion(12) = HK66*(HK52*P(2,12) + HK53*P(6,12) + HK54*P(0,12) - HK55*P(4,12) + HK56*P(1,12) - HK57*P(3,12) - HK58*P(5,12)); Kfusion(13) = HK66*(HK52*P(2,13) + HK53*P(6,13) + HK54*P(0,13) - HK55*P(4,13) + HK56*P(1,13) - HK57*P(3,13) - HK58*P(5,13)); Kfusion(14) = HK66*(HK52*P(2,14) + HK53*P(6,14) + HK54*P(0,14) - HK55*P(4,14) + HK56*P(1,14) - HK57*P(3,14) - HK58*P(5,14)); Kfusion(15) = HK66*(HK52*P(2,15) + HK53*P(6,15) + HK54*P(0,15) - HK55*P(4,15) + HK56*P(1,15) - HK57*P(3,15) - HK58*P(5,15)); Kfusion(16) = HK66*(HK52*P(2,16) + HK53*P(6,16) + HK54*P(0,16) - HK55*P(4,16) + HK56*P(1,16) - HK57*P(3,16) - HK58*P(5,16)); Kfusion(17) = HK66*(HK52*P(2,17) + HK53*P(6,17) + HK54*P(0,17) - HK55*P(4,17) + HK56*P(1,17) - HK57*P(3,17) - HK58*P(5,17)); Kfusion(18) = HK66*(HK52*P(2,18) + HK53*P(6,18) + HK54*P(0,18) - HK55*P(4,18) + HK56*P(1,18) - HK57*P(3,18) - HK58*P(5,18)); Kfusion(19) = HK66*(HK52*P(2,19) + HK53*P(6,19) + HK54*P(0,19) - HK55*P(4,19) + HK56*P(1,19) - HK57*P(3,19) - HK58*P(5,19)); Kfusion(20) = HK66*(HK52*P(2,20) + HK53*P(6,20) + HK54*P(0,20) - HK55*P(4,20) + HK56*P(1,20) - HK57*P(3,20) - HK58*P(5,20)); Kfusion(21) = HK66*(HK52*P(2,21) + HK53*P(6,21) + HK54*P(0,21) - HK55*P(4,21) + HK56*P(1,21) - HK57*P(3,21) - HK58*P(5,21)); Kfusion(22) = HK66*(HK52*P(2,22) + HK53*P(6,22) + HK54*P(0,22) - HK55*P(4,22) + HK56*P(1,22) - HK57*P(3,22) - HK58*P(5,22)); Kfusion(23) = HK66*(HK52*P(2,23) + HK53*P(6,23) + HK54*P(0,23) - HK55*P(4,23) + HK56*P(1,23) - HK57*P(3,23) - HK58*P(5,23)); // Observation Jacobians - axis 2 Hfusion.at<0>() = 2*HK30 + 2*HK8; Hfusion.at<1>() = -2*HK10 + 2*HK12 - 2*HK67; Hfusion.at<2>() = 2*HK68; Hfusion.at<3>() = 2*HK69; Hfusion.at<4>() = 2*HK70; Hfusion.at<5>() = -2*HK49 + 2*HK50; Hfusion.at<6>() = HK15 + HK48 + 1; Hfusion.at<7>() = 0; Hfusion.at<8>() = 0; Hfusion.at<9>() = 0; Hfusion.at<10>() = 0; Hfusion.at<11>() = 0; Hfusion.at<12>() = 0; Hfusion.at<13>() = 0; Hfusion.at<14>() = 0; Hfusion.at<15>() = 0; Hfusion.at<16>() = 0; Hfusion.at<17>() = 0; Hfusion.at<18>() = 0; Hfusion.at<19>() = 0; Hfusion.at<20>() = 0; Hfusion.at<21>() = 0; Hfusion.at<22>() = 0; Hfusion.at<23>() = 0; // Kalman gains - axis 2 Kfusion(0) = -HK78*HK85; Kfusion(1) = -HK84*HK85; Kfusion(2) = -HK83*HK85; Kfusion(3) = -HK80*HK85; Kfusion(4) = -HK79*HK85; Kfusion(5) = -HK81*HK85; Kfusion(6) = -HK82*HK85; Kfusion(7) = -HK85*(-HK71*P(3,7) - HK72*P(4,7) + HK73*P(0,7) + HK74*P(5,7) - HK75*P(2,7) + HK76*P(6,7) + HK77*P(1,7)); Kfusion(8) = -HK85*(-HK71*P(3,8) - HK72*P(4,8) + HK73*P(0,8) + HK74*P(5,8) - HK75*P(2,8) + HK76*P(6,8) + HK77*P(1,8)); Kfusion(9) = -HK85*(-HK71*P(3,9) - HK72*P(4,9) + HK73*P(0,9) + HK74*P(5,9) - HK75*P(2,9) + HK76*P(6,9) + HK77*P(1,9)); Kfusion(10) = -HK85*(-HK71*P(3,10) - HK72*P(4,10) + HK73*P(0,10) + HK74*P(5,10) - HK75*P(2,10) + HK76*P(6,10) + HK77*P(1,10)); Kfusion(11) = -HK85*(-HK71*P(3,11) - HK72*P(4,11) + HK73*P(0,11) + HK74*P(5,11) - HK75*P(2,11) + HK76*P(6,11) + HK77*P(1,11)); Kfusion(12) = -HK85*(-HK71*P(3,12) - HK72*P(4,12) + HK73*P(0,12) + HK74*P(5,12) - HK75*P(2,12) + HK76*P(6,12) + HK77*P(1,12)); Kfusion(13) = -HK85*(-HK71*P(3,13) - HK72*P(4,13) + HK73*P(0,13) + HK74*P(5,13) - HK75*P(2,13) + HK76*P(6,13) + HK77*P(1,13)); Kfusion(14) = -HK85*(-HK71*P(3,14) - HK72*P(4,14) + HK73*P(0,14) + HK74*P(5,14) - HK75*P(2,14) + HK76*P(6,14) + HK77*P(1,14)); Kfusion(15) = -HK85*(-HK71*P(3,15) - HK72*P(4,15) + HK73*P(0,15) + HK74*P(5,15) - HK75*P(2,15) + HK76*P(6,15) + HK77*P(1,15)); Kfusion(16) = -HK85*(-HK71*P(3,16) - HK72*P(4,16) + HK73*P(0,16) + HK74*P(5,16) - HK75*P(2,16) + HK76*P(6,16) + HK77*P(1,16)); Kfusion(17) = -HK85*(-HK71*P(3,17) - HK72*P(4,17) + HK73*P(0,17) + HK74*P(5,17) - HK75*P(2,17) + HK76*P(6,17) + HK77*P(1,17)); Kfusion(18) = -HK85*(-HK71*P(3,18) - HK72*P(4,18) + HK73*P(0,18) + HK74*P(5,18) - HK75*P(2,18) + HK76*P(6,18) + HK77*P(1,18)); Kfusion(19) = -HK85*(-HK71*P(3,19) - HK72*P(4,19) + HK73*P(0,19) + HK74*P(5,19) - HK75*P(2,19) + HK76*P(6,19) + HK77*P(1,19)); Kfusion(20) = -HK85*(-HK71*P(3,20) - HK72*P(4,20) + HK73*P(0,20) + HK74*P(5,20) - HK75*P(2,20) + HK76*P(6,20) + HK77*P(1,20)); Kfusion(21) = -HK85*(-HK71*P(3,21) - HK72*P(4,21) + HK73*P(0,21) + HK74*P(5,21) - HK75*P(2,21) + HK76*P(6,21) + HK77*P(1,21)); Kfusion(22) = -HK85*(-HK71*P(3,22) - HK72*P(4,22) + HK73*P(0,22) + HK74*P(5,22) - HK75*P(2,22) + HK76*P(6,22) + HK77*P(1,22)); Kfusion(23) = -HK85*(-HK71*P(3,23) - HK72*P(4,23) + HK73*P(0,23) + HK74*P(5,23) - HK75*P(2,23) + HK76*P(6,23) + HK77*P(1,23));