base program for tilt measurement
Dependencies: COG4050_ADT7420 ADXL362
Fork of COG4050_adxl355_adxl357-ver2 by
Calibration/CALIBRATION.cpp@8:9e6ead2ee8d7, 2018-08-21 (annotated)
- Committer:
- vtoffoli
- Date:
- Tue Aug 21 13:25:37 2018 +0000
- Revision:
- 8:9e6ead2ee8d7
- Child:
- 9:6c803986dbde
COG+ADXL355
Who changed what in which revision?
User | Revision | Line number | New contents of line |
---|---|---|---|
vtoffoli | 8:9e6ead2ee8d7 | 1 | #include <stdint.h> |
vtoffoli | 8:9e6ead2ee8d7 | 2 | #include <stdio.h> |
vtoffoli | 8:9e6ead2ee8d7 | 3 | #include <math.h> |
vtoffoli | 8:9e6ead2ee8d7 | 4 | |
vtoffoli | 8:9e6ead2ee8d7 | 5 | #include "mbed.h" |
vtoffoli | 8:9e6ead2ee8d7 | 6 | #include "CALIBRATION.h" |
vtoffoli | 8:9e6ead2ee8d7 | 7 | |
vtoffoli | 8:9e6ead2ee8d7 | 8 | |
vtoffoli | 8:9e6ead2ee8d7 | 9 | #define PI 3.14159265 |
vtoffoli | 8:9e6ead2ee8d7 | 10 | |
vtoffoli | 8:9e6ead2ee8d7 | 11 | CALIBRATION::calib_data_t CALIBRATION::convert_2p(float angle[11][2], float meas[11][2]){ |
vtoffoli | 8:9e6ead2ee8d7 | 12 | calib_data_t res; |
vtoffoli | 8:9e6ead2ee8d7 | 13 | for(int i=0; i<3; i++){ |
vtoffoli | 8:9e6ead2ee8d7 | 14 | res.S[i][i]= (angle[i][1]-angle[i][0])/(meas[i][1]-meas[i][0]); |
vtoffoli | 8:9e6ead2ee8d7 | 15 | res.B[i][0]= (angle[i][0]*meas[i][1]-angle[i][1]*meas[i][0])/(meas[i][1]-meas[i][0]); |
vtoffoli | 8:9e6ead2ee8d7 | 16 | } |
vtoffoli | 8:9e6ead2ee8d7 | 17 | return res; |
vtoffoli | 8:9e6ead2ee8d7 | 18 | } |
vtoffoli | 8:9e6ead2ee8d7 | 19 | CALIBRATION::calib_data_t CALIBRATION::convert_6p(float angle[11][2], float meas[11][2]){ |
vtoffoli | 8:9e6ead2ee8d7 | 20 | calib_data_t res; |
vtoffoli | 8:9e6ead2ee8d7 | 21 | for(int i=0; i<3; i++){ |
vtoffoli | 8:9e6ead2ee8d7 | 22 | res.S[i][i]= (angle[i][1]-angle[i][0])/(meas[i][1]-meas[i][0]); |
vtoffoli | 8:9e6ead2ee8d7 | 23 | res.B[i][0]= (angle[i][0]*meas[i][1]-angle[i][1]*meas[i][0])/(meas[i][1]-meas[i][0]); |
vtoffoli | 8:9e6ead2ee8d7 | 24 | } |
vtoffoli | 8:9e6ead2ee8d7 | 25 | return res; |
vtoffoli | 8:9e6ead2ee8d7 | 26 | } |
vtoffoli | 8:9e6ead2ee8d7 | 27 | //CALIBRATION::calib_data_t CALIBRATION::convert_12p(float angle[11][2], float meas[11][2], int size){} |
vtoffoli | 8:9e6ead2ee8d7 | 28 | |
vtoffoli | 8:9e6ead2ee8d7 | 29 | |
vtoffoli | 8:9e6ead2ee8d7 | 30 | /*For calculating Determinant of the Matrix */ |
vtoffoli | 8:9e6ead2ee8d7 | 31 | |
vtoffoli | 8:9e6ead2ee8d7 | 32 | void CALIBRATION::matrix_reset(){ |
vtoffoli | 8:9e6ead2ee8d7 | 33 | memset(g_matrix, 0, sizeof(g_matrix[0][0]) * 2 * 11); |
vtoffoli | 8:9e6ead2ee8d7 | 34 | memset(coeff_matrix.x_matrix, 0, sizeof(coeff_matrix.x_matrix[0][0]) * 11 * 3); |
vtoffoli | 8:9e6ead2ee8d7 | 35 | memset(w_matrix, 0, sizeof(w_matrix[0][0]) * 3 * 2); |
vtoffoli | 8:9e6ead2ee8d7 | 36 | } |
vtoffoli | 8:9e6ead2ee8d7 | 37 | |
vtoffoli | 8:9e6ead2ee8d7 | 38 | |
vtoffoli | 8:9e6ead2ee8d7 | 39 | void CALIBRATION::matrix_g(float angle[4][12]){ |
vtoffoli | 8:9e6ead2ee8d7 | 40 | // angle expressed in degree: roll, pitch, yaw |
vtoffoli | 8:9e6ead2ee8d7 | 41 | double roll, pitch; |
vtoffoli | 8:9e6ead2ee8d7 | 42 | int i; |
vtoffoli | 8:9e6ead2ee8d7 | 43 | for ( i = 0; i < 12; ++i) { |
vtoffoli | 8:9e6ead2ee8d7 | 44 | roll = angle[0][i]*PI/180; |
vtoffoli | 8:9e6ead2ee8d7 | 45 | pitch = angle[1][i]*PI/180; |
vtoffoli | 8:9e6ead2ee8d7 | 46 | g_matrix[0][i] = -sin(pitch); |
vtoffoli | 8:9e6ead2ee8d7 | 47 | g_matrix[1][i] = cos(pitch)*sin(roll); |
vtoffoli | 8:9e6ead2ee8d7 | 48 | g_matrix[2][i] = cos(pitch)*cos(roll); |
vtoffoli | 8:9e6ead2ee8d7 | 49 | } |
vtoffoli | 8:9e6ead2ee8d7 | 50 | } |
vtoffoli | 8:9e6ead2ee8d7 | 51 | |
vtoffoli | 8:9e6ead2ee8d7 | 52 | void CALIBRATION::matrix_x(float meas[3][12]){ |
vtoffoli | 8:9e6ead2ee8d7 | 53 | int i,j,k; |
vtoffoli | 8:9e6ead2ee8d7 | 54 | // define xt and x |
vtoffoli | 8:9e6ead2ee8d7 | 55 | for( i = 0; i < 12; i++){ |
vtoffoli | 8:9e6ead2ee8d7 | 56 | coeff_matrix.x_matrix[i][0] = meas[0][i]; |
vtoffoli | 8:9e6ead2ee8d7 | 57 | coeff_matrix.x_matrix[i][1] = meas[1][i]; |
vtoffoli | 8:9e6ead2ee8d7 | 58 | coeff_matrix.x_matrix[i][2] = meas[2][i]; |
vtoffoli | 8:9e6ead2ee8d7 | 59 | coeff_matrix.x_matrix[i][3] = 1; |
vtoffoli | 8:9e6ead2ee8d7 | 60 | coeff_matrix.x_transpose[0][i] = meas[0][i]; |
vtoffoli | 8:9e6ead2ee8d7 | 61 | coeff_matrix.x_transpose[1][i] = meas[1][i]; |
vtoffoli | 8:9e6ead2ee8d7 | 62 | coeff_matrix.x_transpose[2][i] = meas[2][i]; |
vtoffoli | 8:9e6ead2ee8d7 | 63 | coeff_matrix.x_transpose[3][i] = 1; |
vtoffoli | 8:9e6ead2ee8d7 | 64 | } |
vtoffoli | 8:9e6ead2ee8d7 | 65 | // product xt * x |
vtoffoli | 8:9e6ead2ee8d7 | 66 | double sum = 0; |
vtoffoli | 8:9e6ead2ee8d7 | 67 | for ( i=0; i< 12; i++){ |
vtoffoli | 8:9e6ead2ee8d7 | 68 | for( j=0; j<3; j++){ |
vtoffoli | 8:9e6ead2ee8d7 | 69 | sum = sum + coeff_matrix.x_transpose[i][j]+coeff_matrix.x_matrix[i][j]; |
vtoffoli | 8:9e6ead2ee8d7 | 70 | } |
vtoffoli | 8:9e6ead2ee8d7 | 71 | coeff_matrix.xtx_product[i][j] = sum; |
vtoffoli | 8:9e6ead2ee8d7 | 72 | sum = 0; |
vtoffoli | 8:9e6ead2ee8d7 | 73 | } |
vtoffoli | 8:9e6ead2ee8d7 | 74 | // determinte of xt*t |
vtoffoli | 8:9e6ead2ee8d7 | 75 | float det; |
vtoffoli | 8:9e6ead2ee8d7 | 76 | det = matrix_determinant(coeff_matrix.xtx_product,12); |
vtoffoli | 8:9e6ead2ee8d7 | 77 | // cofactor of ct*x |
vtoffoli | 8:9e6ead2ee8d7 | 78 | float b[12][12],fac[12][12]; |
vtoffoli | 8:9e6ead2ee8d7 | 79 | int p,q; |
vtoffoli | 8:9e6ead2ee8d7 | 80 | int m,n; |
vtoffoli | 8:9e6ead2ee8d7 | 81 | for (q=0;q<12;q++){ |
vtoffoli | 8:9e6ead2ee8d7 | 82 | for (p=0;p<12;p++){ |
vtoffoli | 8:9e6ead2ee8d7 | 83 | m=0; n=0; |
vtoffoli | 8:9e6ead2ee8d7 | 84 | for (i=0;i<12;i++){ |
vtoffoli | 8:9e6ead2ee8d7 | 85 | for (j=0;j<12;j++){ |
vtoffoli | 8:9e6ead2ee8d7 | 86 | if (i != q && j != p){ |
vtoffoli | 8:9e6ead2ee8d7 | 87 | b[m][n]=coeff_matrix.xtx_product[i][j]; |
vtoffoli | 8:9e6ead2ee8d7 | 88 | if (n<(12-2)) |
vtoffoli | 8:9e6ead2ee8d7 | 89 | n++; |
vtoffoli | 8:9e6ead2ee8d7 | 90 | else{ |
vtoffoli | 8:9e6ead2ee8d7 | 91 | n=0; m++;} |
vtoffoli | 8:9e6ead2ee8d7 | 92 | } |
vtoffoli | 8:9e6ead2ee8d7 | 93 | } |
vtoffoli | 8:9e6ead2ee8d7 | 94 | } |
vtoffoli | 8:9e6ead2ee8d7 | 95 | //fac[q][p] = pow(-1,p+q)* matrix_determinant(b,12-1); |
vtoffoli | 8:9e6ead2ee8d7 | 96 | } |
vtoffoli | 8:9e6ead2ee8d7 | 97 | } |
vtoffoli | 8:9e6ead2ee8d7 | 98 | } |
vtoffoli | 8:9e6ead2ee8d7 | 99 | |
vtoffoli | 8:9e6ead2ee8d7 | 100 | float CALIBRATION::matrix_determinant(float a[12][12], float k){ |
vtoffoli | 8:9e6ead2ee8d7 | 101 | float s = 1, det = 0, b[12][12]; |
vtoffoli | 8:9e6ead2ee8d7 | 102 | int i, j, m, n, c; |
vtoffoli | 8:9e6ead2ee8d7 | 103 | if (k == 1) { return (a[0][0]);} |
vtoffoli | 8:9e6ead2ee8d7 | 104 | else{ |
vtoffoli | 8:9e6ead2ee8d7 | 105 | det = 0; |
vtoffoli | 8:9e6ead2ee8d7 | 106 | for (c = 0; c < k; c++){ |
vtoffoli | 8:9e6ead2ee8d7 | 107 | m = 0; n = 0; |
vtoffoli | 8:9e6ead2ee8d7 | 108 | for (i = 0;i < k; i++){ |
vtoffoli | 8:9e6ead2ee8d7 | 109 | for (j = 0 ;j < k; j++){ |
vtoffoli | 8:9e6ead2ee8d7 | 110 | b[i][j] = 0; |
vtoffoli | 8:9e6ead2ee8d7 | 111 | if (i != 0 && j != c){ |
vtoffoli | 8:9e6ead2ee8d7 | 112 | b[m][n] = a[i][j]; |
vtoffoli | 8:9e6ead2ee8d7 | 113 | if (n < (k - 2)) |
vtoffoli | 8:9e6ead2ee8d7 | 114 | n++; |
vtoffoli | 8:9e6ead2ee8d7 | 115 | else |
vtoffoli | 8:9e6ead2ee8d7 | 116 | {n = 0; m++;} |
vtoffoli | 8:9e6ead2ee8d7 | 117 | } |
vtoffoli | 8:9e6ead2ee8d7 | 118 | } |
vtoffoli | 8:9e6ead2ee8d7 | 119 | } |
vtoffoli | 8:9e6ead2ee8d7 | 120 | det = det + s * (a[0][c] * matrix_determinant(b, k - 1)); |
vtoffoli | 8:9e6ead2ee8d7 | 121 | s = -1 * s; |
vtoffoli | 8:9e6ead2ee8d7 | 122 | } |
vtoffoli | 8:9e6ead2ee8d7 | 123 | } |
vtoffoli | 8:9e6ead2ee8d7 | 124 | return (det); |
vtoffoli | 8:9e6ead2ee8d7 | 125 | } |
vtoffoli | 8:9e6ead2ee8d7 | 126 | |
vtoffoli | 8:9e6ead2ee8d7 | 127 | //https://www.sanfoundry.com/c-program-find-inverse-matrix/ |
vtoffoli | 8:9e6ead2ee8d7 | 128 | |
vtoffoli | 8:9e6ead2ee8d7 | 129 | //http://www.ccodechamp.com/c-program-to-find-inverse-of-matrix/ |