px4_autopilot/matlab/generated/Inertial Nav EKF/Optical Flow Fusion.txt

// Auto code for fusion of line of sight rate massurements from a optical flow camera aligned with the Z body axis
// Conversion from Matlab symbolic toolbox objects to c-code made using custom scripts and auto-coder from the InertialNav repo
// Observations are body modtion compensated optica flow rates about the X and Y body axis
// Sequential fusion is used (observation errors about each axis are assumed to be uncorrelated)

float H_LOS[2][24];

// calculate X axis observation Jacobian
float t2 = 1.0f / range;
float t3 = q0 * q0;
float t4 = q1 * q1;
float t5 = q2 * q2;
float t6 = q3 * q3;
float t7 = q0 * q2 * 2.0f;
float t8 = q1 * q3 * 2.0f;
float t9 = q0 * q3 * 2.0f;
float t10 = q1 * q2 * 2.0f;
float t11 = q0 * q1 * 2.0f;
H_LOS[0][0] = t2 * (vn * (t7 + t8) + vd * (t3 - t4 - t5 + t6) - ve * (t11 - q2 * q3 * 2.0f));
H_LOS[0][2] = -t2 * (ve * (t9 + t10) - vd * (t7 - t8) + vn * (t3 + t4 - t5 - t6));
H_LOS[0][3] = -t2 * (t9 - t10);
H_LOS[0][4] = t2 * (t3 - t4 + t5 - t6);
H_LOS[0][5] = t2 * (t11 + q2 * q3 * 2.0f);

// calculate X axis Kalman gains
t2 = 1.0/range;
t3 = q0*q1*2.0;
t4 = q2*q3*2.0;
t5 = q0*q0;
t6 = q1*q1;
t7 = q2*q2;
t8 = q3*q3;
t9 = q0*q2*2.0;
t10 = q1*q3*2.0;
t11 = q0*q3*2.0;
float t12 = q1*q2*2.0;
float t13 = t11-t12;
float t14 = t3+t4;
float t15 = t5-t6-t7+t8;
float t16 = t15*vd;
float t17 = t3-t4;
float t18 = t9+t10;
float t19 = t18*vn;
float t28 = t17*ve;
float t20 = t16+t19-t28;
float t21 = t5+t6-t7-t8;
float t22 = t21*vn;
float t23 = t9-t10;
float t24 = t11+t12;
float t25 = t24*ve;
float t29 = t23*vd;
float t26 = t22+t25-t29;
float t27 = t5-t6+t7-t8;
float t30 = P[0][0]*t2*t20;
float t31 = P[5][3]*t2*t14;
float t32 = P[0][3]*t2*t20;
float t33 = P[4][3]*t2*t27;
float t56 = P[3][3]*t2*t13;
float t57 = P[2][3]*t2*t26;
float t34 = t31+t32+t33-t56-t57;
float t35 = P[5][5]*t2*t14;
float t36 = P[0][5]*t2*t20;
float t37 = P[4][5]*t2*t27;
float t59 = P[3][5]*t2*t13;
float t60 = P[2][5]*t2*t26;
float t38 = t35+t36+t37-t59-t60;
float t39 = t2*t14*t38;
float t40 = P[5][0]*t2*t14;
float t41 = P[4][0]*t2*t27;
float t61 = P[3][0]*t2*t13;
float t62 = P[2][0]*t2*t26;
float t42 = t30+t40+t41-t61-t62;
float t43 = t2*t20*t42;
float t44 = P[5][2]*t2*t14;
float t45 = P[0][2]*t2*t20;
float t46 = P[4][2]*t2*t27;
float t55 = P[2][2]*t2*t26;
float t63 = P[3][2]*t2*t13;
float t47 = t44+t45+t46-t55-t63;
float t48 = P[5][4]*t2*t14;
float t49 = P[0][4]*t2*t20;
float t50 = P[4][4]*t2*t27;
float t65 = P[3][4]*t2*t13;
float t66 = P[2][4]*t2*t26;
float t51 = t48+t49+t50-t65-t66;
float t52 = t2*t27*t51;
float t58 = t2*t13*t34;
float t64 = t2*t26*t47;
float t53 = R_LOS+t39+t43+t52-t58-t64;
float t54 = 1.0/t53;
Kfusion[0][0] = t54*(t30-P[0][3]*t2*(t11-q1*q2*2.0)+P[0][5]*t2*t14-P[0][2]*t2*t26+P[0][4]*t2*t27);
Kfusion[1][0] = t54*(-P[1][3]*t2*t13+P[1][5]*t2*t14+P[1][0]*t2*t20-P[1][2]*t2*t26+P[1][4]*t2*t27);
Kfusion[2][0] = t54*(-t55-P[2][3]*t2*t13+P[2][5]*t2*t14+P[2][0]*t2*t20+P[2][4]*t2*t27);
Kfusion[3][0] = t54*(-t56+P[3][5]*t2*t14+P[3][0]*t2*t20-P[3][2]*t2*t26+P[3][4]*t2*t27);
Kfusion[4][0] = t54*(t50-P[4][3]*t2*t13+P[4][5]*t2*t14+P[4][0]*t2*t20-P[4][2]*t2*t26);
Kfusion[5][0] = t54*(t35-P[5][3]*t2*t13+P[5][0]*t2*t20-P[5][2]*t2*t26+P[5][4]*t2*t27);
Kfusion[6][0] = t54*(-P[6][3]*t2*t13+P[6][5]*t2*t14+P[6][0]*t2*t20-P[6][2]*t2*t26+P[6][4]*t2*t27);
Kfusion[7][0] = t54*(-P[7][3]*t2*t13+P[7][5]*t2*t14+P[7][0]*t2*t20-P[7][2]*t2*t26+P[7][4]*t2*t27);
Kfusion[8][0] = t54*(-P[8][3]*t2*t13+P[8][5]*t2*t14+P[8][0]*t2*t20-P[8][2]*t2*t26+P[8][4]*t2*t27);
Kfusion[9][0] = t54*(-P[9][3]*t2*t13+P[9][5]*t2*t14+P[9][0]*t2*t20-P[9][2]*t2*t26+P[9][4]*t2*t27);
Kfusion[10][0] = t54*(-P[10][3]*t2*t13+P[10][5]*t2*t14+P[10][0]*t2*t20-P[10][2]*t2*t26+P[10][4]*t2*t27);
Kfusion[11][0] = t54*(-P[11][3]*t2*t13+P[11][5]*t2*t14+P[11][0]*t2*t20-P[11][2]*t2*t26+P[11][4]*t2*t27);
Kfusion[12][0] = t54*(-P[12][3]*t2*t13+P[12][5]*t2*t14+P[12][0]*t2*t20-P[12][2]*t2*t26+P[12][4]*t2*t27);
Kfusion[13][0] = t54*(-P[13][3]*t2*t13+P[13][5]*t2*t14+P[13][0]*t2*t20-P[13][2]*t2*t26+P[13][4]*t2*t27);
Kfusion[14][0] = t54*(-P[14][3]*t2*t13+P[14][5]*t2*t14+P[14][0]*t2*t20-P[14][2]*t2*t26+P[14][4]*t2*t27);
Kfusion[15][0] = t54*(-P[15][3]*t2*t13+P[15][5]*t2*t14+P[15][0]*t2*t20-P[15][2]*t2*t26+P[15][4]*t2*t27);
Kfusion[16][0] = t54*(-P[16][3]*t2*t13+P[16][5]*t2*t14+P[16][0]*t2*t20-P[16][2]*t2*t26+P[16][4]*t2*t27);
Kfusion[17][0] = t54*(-P[17][3]*t2*t13+P[17][5]*t2*t14+P[17][0]*t2*t20-P[17][2]*t2*t26+P[17][4]*t2*t27);
Kfusion[18][0] = t54*(-P[18][3]*t2*t13+P[18][5]*t2*t14+P[18][0]*t2*t20-P[18][2]*t2*t26+P[18][4]*t2*t27);
Kfusion[19][0] = t54*(-P[19][3]*t2*t13+P[19][5]*t2*t14+P[19][0]*t2*t20-P[19][2]*t2*t26+P[19][4]*t2*t27);
Kfusion[20][0] = t54*(-P[20][3]*t2*t13+P[20][5]*t2*t14+P[20][0]*t2*t20-P[20][2]*t2*t26+P[20][4]*t2*t27);
Kfusion[21][0] = t54*(-P[21][3]*t2*t13+P[21][5]*t2*t14+P[21][0]*t2*t20-P[21][2]*t2*t26+P[21][4]*t2*t27);
Kfusion[22][0] = t54*(-P[22][3]*t2*t13+P[22][5]*t2*t14+P[22][0]*t2*t20-P[22][2]*t2*t26+P[22][4]*t2*t27);
Kfusion[23][0] = t54*(-P[23][3]*t2*t13+P[23][5]*t2*t14+P[23][0]*t2*t20-P[23][2]*t2*t26+P[23][4]*t2*t27);

// calculate Y axis observation jacobian
float t2 = 1.0f/range;
float t3 = q0*q0;
float t4 = q1*q1;
float t5 = q2*q2;
float t6 = q3*q3;
float t7 = q0*q1*2.0f;
float t8 = q0*q3*2.0f;
float t9 = q0*q2*2.0f;
float t10 = q1*q3*2.0f;
H_LOS[1][1] = t2*(vn*(t9+t10)+vd*(t3-t4-t5+t6)-ve*(t7-q2*q3*2.0f));
H_LOS[1][2] = -t2*(ve*(t3-t4+t5-t6)+vd*(t7+q2*q3*2.0f)-vn*(t8-q1*q2*2.0f));
H_LOS[1][3] = -t2*(t3+t4-t5-t6);
H_LOS[1][4] = -t2*(t8+q1*q2*2.0f);
H_LOS[1][5] = t2*(t9-t10);

// calculate Y axis Kalman gains
t2 = 1.0f/range;
t3 = q0*q2*2.0f;
t4 = q0*q0;
t5 = q1*q1;
t6 = q2*q2;
t7 = q3*q3;
t8 = q0*q1*2.0f;
t9 = q0*q3*2.0f;
t10 = q1*q2*2.0f;
float t11 = t9+t10;
float t12 = q1*q3*2.0f;
float t13 = t4-t5-t6+t7;
float t14 = t13*vd;
float t15 = q2*q3*2.0f;
float t16 = t3+t12;
float t17 = t16*vn;
float t18 = t4-t5+t6-t7;
float t19 = t18*ve;
float t20 = t8+t15;
float t21 = t20*vd;
float t22 = t9-t10;
float t28 = t22*vn;
float t23 = t19+t21-t28;
float t24 = t4+t5-t6-t7;
float t25 = t3-t12;
float t26 = t8-t15;
float t29 = t26*ve;
float t27 = t14+t17-t29;
float t30 = P[4][4]*t2*t11;
float t31 = P[2][4]*t2*t23;
float t32 = P[3][4]*t2*t24;
float t56 = P[5][4]*t2*t25;
float t57 = P[1][4]*t2*t27;
float t33 = t30+t31+t32-t56-t57;
float t34 = t2*t11*t33;
float t35 = P[4][5]*t2*t11;
float t36 = P[2][5]*t2*t23;
float t37 = P[3][5]*t2*t24;
float t58 = P[5][5]*t2*t25;
float t59 = P[1][5]*t2*t27;
float t38 = t35+t36+t37-t58-t59;
float t39 = P[4][1]*t2*t11;
float t40 = P[2][1]*t2*t23;
float t41 = P[3][1]*t2*t24;
float t55 = P[1][1]*t2*t27;
float t61 = P[5][1]*t2*t25;
float t42 = t39+t40+t41-t55-t61;
float t43 = P[4][2]*t2*t11;
float t44 = P[2][2]*t2*t23;
float t45 = P[3][2]*t2*t24;
float t63 = P[5][2]*t2*t25;
float t64 = P[1][2]*t2*t27;
float t46 = t43+t44+t45-t63-t64;
float t47 = t2*t23*t46;
float t48 = P[4][3]*t2*t11;
float t49 = P[2][3]*t2*t23;
float t50 = P[3][3]*t2*t24;
float t65 = P[5][3]*t2*t25;
float t66 = P[1][3]*t2*t27;
float t51 = t48+t49+t50-t65-t66;
float t52 = t2*t24*t51;
float t60 = t2*t25*t38;
float t62 = t2*t27*t42;
float t53 = R_LOS+t34+t47+t52-t60-t62;
float t54 = 1.0f/t53;
Kfusion[0][1] = -t54*(P[0][4]*t2*t11+P[0][2]*t2*t23+P[0][3]*t2*t24-P[0][1]*t2*t27-P[0][5]*t2*t25);
Kfusion[1][1] = -t54*(-t55+P[1][4]*t2*t11+P[1][2]*t2*t23+P[1][3]*t2*t24-P[1][5]*t2*t25);
Kfusion[2][1] = -t54*(t44+P[2][4]*t2*t11+P[2][3]*t2*t24-P[2][1]*t2*t27-P[2][5]*t2*t25);
Kfusion[3][1] = -t54*(t50+P[3][4]*t2*t11+P[3][2]*t2*t23-P[3][1]*t2*t27-P[3][5]*t2*t25);
Kfusion[4][1] = -t54*(t30+P[4][2]*t2*t23+P[4][3]*t2*t24-P[4][1]*t2*t27-P[4][5]*t2*t25);
Kfusion[5][1] = -t54*(-t58+P[5][4]*t2*t11+P[5][2]*t2*t23+P[5][3]*t2*t24-P[5][1]*t2*t27);
Kfusion[6][1] = -t54*(P[6][4]*t2*t11+P[6][2]*t2*t23+P[6][3]*t2*t24-P[6][1]*t2*t27-P[6][5]*t2*t25);
Kfusion[7][1] = -t54*(P[7][4]*t2*t11+P[7][2]*t2*t23+P[7][3]*t2*t24-P[7][1]*t2*t27-P[7][5]*t2*t25);
Kfusion[8][1] = -t54*(P[8][4]*t2*t11+P[8][2]*t2*t23+P[8][3]*t2*t24-P[8][1]*t2*t27-P[8][5]*t2*t25);
Kfusion[9][1] = -t54*(P[9][4]*t2*t11+P[9][2]*t2*t23+P[9][3]*t2*t24-P[9][1]*t2*t27-P[9][5]*t2*t25);
Kfusion[10][1] = -t54*(P[10][4]*t2*t11+P[10][2]*t2*t23+P[10][3]*t2*t24-P[10][1]*t2*t27-P[10][5]*t2*t25);
Kfusion[11][1] = -t54*(P[11][4]*t2*t11+P[11][2]*t2*t23+P[11][3]*t2*t24-P[11][1]*t2*t27-P[11][5]*t2*t25);
Kfusion[12][1] = -t54*(P[12][4]*t2*t11+P[12][2]*t2*t23+P[12][3]*t2*t24-P[12][1]*t2*t27-P[12][5]*t2*t25);
Kfusion[13][1] = -t54*(P[13][4]*t2*t11+P[13][2]*t2*t23+P[13][3]*t2*t24-P[13][1]*t2*t27-P[13][5]*t2*t25);
Kfusion[14][1] = -t54*(P[14][4]*t2*t11+P[14][2]*t2*t23+P[14][3]*t2*t24-P[14][1]*t2*t27-P[14][5]*t2*t25);
Kfusion[15][1] = -t54*(P[15][4]*t2*t11+P[15][2]*t2*t23+P[15][3]*t2*t24-P[15][1]*t2*t27-P[15][5]*t2*t25);
Kfusion[16][1] = -t54*(P[16][4]*t2*t11+P[16][2]*t2*t23+P[16][3]*t2*t24-P[16][1]*t2*t27-P[16][5]*t2*t25);
Kfusion[17][1] = -t54*(P[17][4]*t2*t11+P[17][2]*t2*t23+P[17][3]*t2*t24-P[17][1]*t2*t27-P[17][5]*t2*t25);
Kfusion[18][1] = -t54*(P[18][4]*t2*t11+P[18][2]*t2*t23+P[18][3]*t2*t24-P[18][1]*t2*t27-P[18][5]*t2*t25);
Kfusion[19][1] = -t54*(P[19][4]*t2*t11+P[19][2]*t2*t23+P[19][3]*t2*t24-P[19][1]*t2*t27-P[19][5]*t2*t25);
Kfusion[20][1] = -t54*(P[20][4]*t2*t11+P[20][2]*t2*t23+P[20][3]*t2*t24-P[20][1]*t2*t27-P[20][5]*t2*t25);
Kfusion[21][1] = -t54*(P[21][4]*t2*t11+P[21][2]*t2*t23+P[21][3]*t2*t24-P[21][1]*t2*t27-P[21][5]*t2*t25);
Kfusion[22][1] = -t54*(P[22][4]*t2*t11+P[22][2]*t2*t23+P[22][3]*t2*t24-P[22][1]*t2*t27-P[22][5]*t2*t25);
Kfusion[23][1] = -t54*(P[23][4]*t2*t11+P[23][2]*t2*t23+P[23][3]*t2*t24-P[23][1]*t2*t27-P[23][5]*t2*t25);