| 1 | greg | 2.1 | /* Copyright (c) 1994 Regents of the University of California */ | 
| 2 |  |  |  | 
| 3 |  |  | #ifndef lint | 
| 4 |  |  | static char SCCSid[] = "$SunId$ LBL"; | 
| 5 |  |  | #endif | 
| 6 |  |  |  | 
| 7 |  |  | /* | 
| 8 |  |  | * invmat4 - computes the inverse of mat into inverse.  Returns 1 | 
| 9 |  |  | * if there exists an inverse, 0 otherwise.  It uses Gaussian Elimination | 
| 10 |  |  | * method. | 
| 11 |  |  | */ | 
| 12 |  |  |  | 
| 13 |  |  | #include "mat4.h" | 
| 14 |  |  |  | 
| 15 |  |  |  | 
| 16 |  |  | #define  ABS(x)         ((x)>=0 ? (x) : -(x)) | 
| 17 |  |  |  | 
| 18 |  |  | #define SWAP(a,b,t) (t=a,a=b,b=t) | 
| 19 |  |  |  | 
| 20 |  |  |  | 
| 21 |  |  | invmat4(inverse,mat) | 
| 22 |  |  | MAT4  inverse, mat; | 
| 23 |  |  | { | 
| 24 |  |  | MAT4  m4tmp; | 
| 25 |  |  | register int i,j,k; | 
| 26 |  |  | register double temp; | 
| 27 |  |  |  | 
| 28 |  |  | copymat4(m4tmp, mat); | 
| 29 |  |  | /* set inverse to identity */ | 
| 30 |  |  | for (i = 0; i < 4; i++) | 
| 31 |  |  | for (j = 0; j < 4; j++) | 
| 32 |  |  | inverse[i][j] = i==j ? 1.0 : 0.0; | 
| 33 |  |  |  | 
| 34 |  |  | for(i = 0; i < 4; i++) { | 
| 35 |  |  | /* Look for row with largest pivot and swap rows */ | 
| 36 |  |  | temp = FTINY; j = -1; | 
| 37 |  |  | for(k = i; k < 4; k++) | 
| 38 |  |  | if(ABS(m4tmp[k][i]) > temp) { | 
| 39 |  |  | temp = ABS(m4tmp[k][i]); | 
| 40 |  |  | j = k; | 
| 41 |  |  | } | 
| 42 |  |  | if(j == -1)     /* No replacing row -> no inverse */ | 
| 43 |  |  | return(0); | 
| 44 |  |  | if (j != i) | 
| 45 |  |  | for(k = 0; k < 4; k++) { | 
| 46 |  |  | SWAP(m4tmp[i][k],m4tmp[j][k],temp); | 
| 47 |  |  | SWAP(inverse[i][k],inverse[j][k],temp); | 
| 48 |  |  | } | 
| 49 |  |  |  | 
| 50 |  |  | temp = m4tmp[i][i]; | 
| 51 |  |  | for(k = 0; k < 4; k++) { | 
| 52 |  |  | m4tmp[i][k] /= temp; | 
| 53 |  |  | inverse[i][k] /= temp; | 
| 54 |  |  | } | 
| 55 |  |  | for(j = 0; j < 4; j++) { | 
| 56 |  |  | if(j != i) { | 
| 57 |  |  | temp = m4tmp[j][i]; | 
| 58 |  |  | for(k = 0; k < 4; k++) { | 
| 59 |  |  | m4tmp[j][k] -= m4tmp[i][k]*temp; | 
| 60 |  |  | inverse[j][k] -= inverse[i][k]*temp; | 
| 61 |  |  | } | 
| 62 |  |  | } | 
| 63 |  |  | } | 
| 64 |  |  | } | 
| 65 |  |  | return(1); | 
| 66 |  |  | } |