| 1 | greg | 2.1 | #ifndef lint | 
| 2 | schorsch | 2.3 | static const char       RCSid[] = "$Id: mx3.c,v 2.2 2003/02/22 02:07:27 greg Exp $"; | 
| 3 | greg | 2.1 | #endif | 
| 4 |  |  |  | 
| 5 | schorsch | 2.3 | #include "mx3.h" | 
| 6 |  |  |  | 
| 7 |  |  | extern double | 
| 8 |  |  | mx3d_adjoint( | 
| 9 |  |  | register double a[3][3], | 
| 10 |  |  | register double b[3][3] | 
| 11 |  |  | ) | 
| 12 | greg | 2.1 | { | 
| 13 |  |  | b[0][0] =  ((a[1][1])*( a[2][2]) - ( a[1][2])*( a[2][1])); | 
| 14 |  |  | b[1][0] =  ((a[1][2])*( a[2][0]) - ( a[1][0])*( a[2][2])); | 
| 15 |  |  | b[2][0] =  ((a[1][0])*( a[2][1]) - ( a[1][1])*( a[2][0])); | 
| 16 |  |  | b[0][1] =  ((a[2][1])*( a[0][2]) - ( a[2][2])*( a[0][1])); | 
| 17 |  |  | b[1][1] =  ((a[2][2])*( a[0][0]) - ( a[2][0])*( a[0][2])); | 
| 18 |  |  | b[2][1] =  ((a[2][0])*( a[0][1]) - ( a[2][1])*( a[0][0])); | 
| 19 |  |  | b[0][2] =  ((a[0][1])*( a[1][2]) - ( a[0][2])*( a[1][1])); | 
| 20 |  |  | b[1][2] =  ((a[0][2])*( a[1][0]) - ( a[0][0])*( a[1][2])); | 
| 21 |  |  | b[2][2] =  ((a[0][0])*( a[1][1]) - ( a[0][1])*( a[1][0])); | 
| 22 |  |  | return a[0][0]*b[0][0] + a[1][0]*b[0][1] + a[2][0]*b[0][2]; | 
| 23 |  |  | } | 
| 24 |  |  |  | 
| 25 |  |  |  | 
| 26 | schorsch | 2.3 | extern void | 
| 27 |  |  | mx3d_mul( | 
| 28 |  |  | register double a[3][3], | 
| 29 |  |  | register double b[3][3], | 
| 30 |  |  | register double c[3][3] | 
| 31 |  |  | ) | 
| 32 | greg | 2.1 | { | 
| 33 |  |  | c[0][0] = a[0][0]*b[0][0] + a[0][1]*b[1][0] + a[0][2]*b[2][0]; | 
| 34 |  |  | c[0][1] = a[0][0]*b[0][1] + a[0][1]*b[1][1] + a[0][2]*b[2][1]; | 
| 35 |  |  | c[0][2] = a[0][0]*b[0][2] + a[0][1]*b[1][2] + a[0][2]*b[2][2]; | 
| 36 |  |  | c[1][0] = a[1][0]*b[0][0] + a[1][1]*b[1][0] + a[1][2]*b[2][0]; | 
| 37 |  |  | c[1][1] = a[1][0]*b[0][1] + a[1][1]*b[1][1] + a[1][2]*b[2][1]; | 
| 38 |  |  | c[1][2] = a[1][0]*b[0][2] + a[1][1]*b[1][2] + a[1][2]*b[2][2]; | 
| 39 |  |  | c[2][0] = a[2][0]*b[0][0] + a[2][1]*b[1][0] + a[2][2]*b[2][0]; | 
| 40 |  |  | c[2][1] = a[2][0]*b[0][1] + a[2][1]*b[1][1] + a[2][2]*b[2][1]; | 
| 41 |  |  | c[2][2] = a[2][0]*b[0][2] + a[2][1]*b[1][2] + a[2][2]*b[2][2]; | 
| 42 |  |  | } | 
| 43 |  |  |  | 
| 44 |  |  |  | 
| 45 | schorsch | 2.3 | extern void | 
| 46 |  |  | mx3d_transform( | 
| 47 |  |  | register double p[3], | 
| 48 |  |  | register double a[3][3], | 
| 49 |  |  | register double q[3] | 
| 50 |  |  | ) | 
| 51 | greg | 2.1 | { | 
| 52 |  |  | q[0] = p[0]*a[0][0] + p[1]*a[1][0] + p[2]*a[2][0]; | 
| 53 |  |  | q[1] = p[0]*a[0][1] + p[1]*a[1][1] + p[2]*a[2][1]; | 
| 54 |  |  | q[2] = p[0]*a[0][2] + p[1]*a[1][2] + p[2]*a[2][2]; | 
| 55 |  |  | } | 
| 56 |  |  |  | 
| 57 |  |  |  | 
| 58 | schorsch | 2.3 | extern double | 
| 59 |  |  | mx3d_transform_div( | 
| 60 |  |  | register double p[3], | 
| 61 |  |  | register double a[3][3], | 
| 62 |  |  | register double q[2] | 
| 63 |  |  | ) | 
| 64 | greg | 2.1 | { | 
| 65 |  |  | double q2; | 
| 66 |  |  | q2 = p[0]*a[0][2] + p[1]*a[1][2] + p[2]*a[2][2]; | 
| 67 |  |  | if (q2!=0.) { | 
| 68 |  |  | q[0] = (p[0]*a[0][0] + p[1]*a[1][0] + p[2]*a[2][0]) / q2; | 
| 69 |  |  | q[1] = (p[0]*a[0][1] + p[1]*a[1][1] + p[2]*a[2][1]) / q2; | 
| 70 |  |  | } | 
| 71 |  |  | return q2; | 
| 72 |  |  | } | 
| 73 |  |  |  | 
| 74 |  |  |  | 
| 75 | schorsch | 2.3 | extern void | 
| 76 |  |  | mx3d_translate_mat( | 
| 77 |  |  | double tx, | 
| 78 |  |  | double ty, | 
| 79 |  |  | register double m[3][3] | 
| 80 |  |  | ) | 
| 81 | greg | 2.1 | { | 
| 82 |  |  | m[0][0] = 1.; m[0][1] = 0.; m[0][2] = 0.; | 
| 83 |  |  | m[1][0] = 0.; m[1][1] = 1.; m[1][2] = 0.; | 
| 84 |  |  | m[2][0] = tx; m[2][1] = ty; m[2][2] = 1.; | 
| 85 |  |  | } | 
| 86 |  |  |  | 
| 87 |  |  |  | 
| 88 | schorsch | 2.3 | extern void | 
| 89 |  |  | mx3d_translate( | 
| 90 |  |  | register double m[3][3], | 
| 91 |  |  | double tx, | 
| 92 |  |  | double ty | 
| 93 |  |  | ) | 
| 94 | greg | 2.1 | { | 
| 95 |  |  | m[3][0] += tx*m[0][0]+ty*m[1][0]; | 
| 96 |  |  | m[3][1] += tx*m[0][1]+ty*m[1][1]; | 
| 97 |  |  | m[3][2] += tx*m[0][2]+ty*m[1][2]; | 
| 98 |  |  | } | 
| 99 |  |  |  | 
| 100 |  |  |  | 
| 101 | schorsch | 2.3 | extern void | 
| 102 |  |  | mx3d_scale_mat( | 
| 103 |  |  | double sx, | 
| 104 |  |  | double sy, | 
| 105 |  |  | register double m[3][3] | 
| 106 |  |  | ) | 
| 107 | greg | 2.1 | { | 
| 108 |  |  | m[0][0] = sx; m[0][1] = 0.; m[0][2] = 0.; | 
| 109 |  |  | m[1][0] = 0.; m[1][1] = sy; m[1][2] = 0.; | 
| 110 |  |  | m[2][0] = 0.; m[2][1] = 0.; m[2][2] = 1.; | 
| 111 |  |  | } | 
| 112 |  |  |  | 
| 113 |  |  |  | 
| 114 | schorsch | 2.3 | extern void | 
| 115 |  |  | mx3d_scale( | 
| 116 |  |  | register double m[3][3], | 
| 117 |  |  | double sx, | 
| 118 |  |  | double sy | 
| 119 |  |  | ) | 
| 120 | greg | 2.1 | { | 
| 121 |  |  | m[0][0] *= sx; m[0][1] *= sx; m[0][2] *= sx; | 
| 122 |  |  | m[1][0] *= sy; m[1][1] *= sy; m[1][2] *= sy; | 
| 123 |  |  | } |