| 1 | greg | 1.9 | /* Copyright (c) 1990 Regents of the University of California */ | 
| 2 | greg | 1.1 |  | 
| 3 |  |  | #ifndef lint | 
| 4 |  |  | static char SCCSid[] = "$SunId$ LBL"; | 
| 5 |  |  | #endif | 
| 6 |  |  |  | 
| 7 |  |  | /* | 
| 8 |  |  | *  xf.c - routines to convert transform arguments into 4X4 matrix. | 
| 9 |  |  | * | 
| 10 |  |  | *     1/28/86 | 
| 11 |  |  | */ | 
| 12 |  |  |  | 
| 13 | greg | 1.9 | #include  "standard.h" | 
| 14 | greg | 1.1 |  | 
| 15 | greg | 1.6 | #define  d2r(a)         ((PI/180.)*(a)) | 
| 16 | greg | 1.1 |  | 
| 17 | greg | 1.6 | #define  checkarg(a,n)  if (av[i][a] || i+n >= ac) goto done | 
| 18 | greg | 1.1 |  | 
| 19 | greg | 1.2 |  | 
| 20 | greg | 1.1 | int | 
| 21 | greg | 1.9 | xf(ret, ac, av)                 /* get transform specification */ | 
| 22 |  |  | register XF  *ret; | 
| 23 | greg | 1.1 | int  ac; | 
| 24 |  |  | char  *av[]; | 
| 25 |  |  | { | 
| 26 |  |  | double  atof(), sin(), cos(); | 
| 27 | greg | 1.4 | double  xfmat[4][4], m4[4][4]; | 
| 28 | greg | 1.7 | double  xfsca, dtmp; | 
| 29 | greg | 1.5 | int  i, icnt; | 
| 30 | greg | 1.1 |  | 
| 31 | greg | 1.9 | setident4(ret->xfm); | 
| 32 |  |  | ret->sca = 1.0; | 
| 33 | greg | 1.4 |  | 
| 34 | greg | 1.8 | icnt = 1; | 
| 35 | greg | 1.4 | setident4(xfmat); | 
| 36 |  |  | xfsca = 1.0; | 
| 37 |  |  |  | 
| 38 | greg | 1.1 | for (i = 0; i < ac && av[i][0] == '-'; i++) { | 
| 39 |  |  |  | 
| 40 |  |  | setident4(m4); | 
| 41 |  |  |  | 
| 42 |  |  | switch (av[i][1]) { | 
| 43 |  |  |  | 
| 44 |  |  | case 't':                       /* translate */ | 
| 45 | greg | 1.6 | checkarg(2,3); | 
| 46 | greg | 1.1 | m4[3][0] = atof(av[++i]); | 
| 47 |  |  | m4[3][1] = atof(av[++i]); | 
| 48 |  |  | m4[3][2] = atof(av[++i]); | 
| 49 |  |  | break; | 
| 50 |  |  |  | 
| 51 |  |  | case 'r':                       /* rotate */ | 
| 52 |  |  | switch (av[i][2]) { | 
| 53 |  |  | case 'x': | 
| 54 | greg | 1.6 | checkarg(3,1); | 
| 55 | greg | 1.7 | dtmp = d2r(atof(av[++i])); | 
| 56 |  |  | m4[1][1] = m4[2][2] = cos(dtmp); | 
| 57 |  |  | m4[2][1] = -(m4[1][2] = sin(dtmp)); | 
| 58 | greg | 1.1 | break; | 
| 59 |  |  | case 'y': | 
| 60 | greg | 1.6 | checkarg(3,1); | 
| 61 | greg | 1.7 | dtmp = d2r(atof(av[++i])); | 
| 62 |  |  | m4[0][0] = m4[2][2] = cos(dtmp); | 
| 63 |  |  | m4[0][2] = -(m4[2][0] = sin(dtmp)); | 
| 64 | greg | 1.1 | break; | 
| 65 |  |  | case 'z': | 
| 66 | greg | 1.6 | checkarg(3,1); | 
| 67 | greg | 1.7 | dtmp = d2r(atof(av[++i])); | 
| 68 |  |  | m4[0][0] = m4[1][1] = cos(dtmp); | 
| 69 |  |  | m4[1][0] = -(m4[0][1] = sin(dtmp)); | 
| 70 | greg | 1.1 | break; | 
| 71 |  |  | default: | 
| 72 |  |  | return(i); | 
| 73 |  |  | } | 
| 74 |  |  | break; | 
| 75 |  |  |  | 
| 76 |  |  | case 's':                       /* scale */ | 
| 77 | greg | 1.6 | checkarg(2,1); | 
| 78 | greg | 1.7 | dtmp = atof(av[i+1]); | 
| 79 |  |  | if (dtmp == 0.0) goto done; | 
| 80 |  |  | i++; | 
| 81 | greg | 1.4 | xfsca *= | 
| 82 | greg | 1.1 | m4[0][0] = | 
| 83 |  |  | m4[1][1] = | 
| 84 | greg | 1.7 | m4[2][2] = dtmp; | 
| 85 | greg | 1.1 | break; | 
| 86 |  |  |  | 
| 87 |  |  | case 'm':                       /* mirror */ | 
| 88 |  |  | switch (av[i][2]) { | 
| 89 |  |  | case 'x': | 
| 90 | greg | 1.6 | checkarg(3,0); | 
| 91 | greg | 1.4 | xfsca *= | 
| 92 | greg | 1.1 | m4[0][0] = -1.0; | 
| 93 |  |  | break; | 
| 94 |  |  | case 'y': | 
| 95 | greg | 1.6 | checkarg(3,0); | 
| 96 | greg | 1.4 | xfsca *= | 
| 97 | greg | 1.1 | m4[1][1] = -1.0; | 
| 98 |  |  | break; | 
| 99 |  |  | case 'z': | 
| 100 | greg | 1.6 | checkarg(3,0); | 
| 101 | greg | 1.4 | xfsca *= | 
| 102 | greg | 1.1 | m4[2][2] = -1.0; | 
| 103 |  |  | break; | 
| 104 |  |  | default: | 
| 105 |  |  | return(i); | 
| 106 |  |  | } | 
| 107 |  |  | break; | 
| 108 |  |  |  | 
| 109 | greg | 1.4 | case 'i':                       /* iterate */ | 
| 110 | greg | 1.6 | checkarg(2,1); | 
| 111 | greg | 1.5 | while (icnt-- > 0) { | 
| 112 | greg | 1.9 | multmat4(ret->xfm, ret->xfm, xfmat); | 
| 113 |  |  | ret->sca *= xfsca; | 
| 114 | greg | 1.4 | } | 
| 115 | greg | 1.8 | icnt = atoi(av[++i]); | 
| 116 | greg | 1.4 | setident4(xfmat); | 
| 117 |  |  | xfsca = 1.0; | 
| 118 | greg | 1.8 | continue; | 
| 119 | greg | 1.4 |  | 
| 120 | greg | 1.1 | default: | 
| 121 |  |  | return(i); | 
| 122 |  |  |  | 
| 123 |  |  | } | 
| 124 |  |  | multmat4(xfmat, xfmat, m4); | 
| 125 |  |  | } | 
| 126 | greg | 1.4 | done: | 
| 127 | greg | 1.8 | while (icnt-- > 0) { | 
| 128 | greg | 1.9 | multmat4(ret->xfm, ret->xfm, xfmat); | 
| 129 |  |  | ret->sca *= xfsca; | 
| 130 | greg | 1.8 | } | 
| 131 | greg | 1.1 | return(i); | 
| 132 |  |  | } | 
| 133 |  |  |  | 
| 134 |  |  |  | 
| 135 |  |  | int | 
| 136 | greg | 1.9 | invxf(ret, ac, av)              /* invert transform specification */ | 
| 137 |  |  | register XF  *ret; | 
| 138 | greg | 1.1 | int  ac; | 
| 139 |  |  | char  *av[]; | 
| 140 |  |  | { | 
| 141 |  |  | double  atof(), sin(), cos(); | 
| 142 | greg | 1.4 | double  xfmat[4][4], m4[4][4]; | 
| 143 | greg | 1.7 | double  xfsca, dtmp; | 
| 144 | greg | 1.5 | int  i, icnt; | 
| 145 | greg | 1.1 |  | 
| 146 | greg | 1.9 | setident4(ret->xfm); | 
| 147 |  |  | ret->sca = 1.0; | 
| 148 | greg | 1.4 |  | 
| 149 | greg | 1.8 | icnt = 1; | 
| 150 | greg | 1.4 | setident4(xfmat); | 
| 151 |  |  | xfsca = 1.0; | 
| 152 |  |  |  | 
| 153 | greg | 1.1 | for (i = 0; i < ac && av[i][0] == '-'; i++) { | 
| 154 |  |  |  | 
| 155 |  |  | setident4(m4); | 
| 156 |  |  |  | 
| 157 |  |  | switch (av[i][1]) { | 
| 158 |  |  |  | 
| 159 |  |  | case 't':                       /* translate */ | 
| 160 | greg | 1.6 | checkarg(2,3); | 
| 161 | greg | 1.1 | m4[3][0] = -atof(av[++i]); | 
| 162 |  |  | m4[3][1] = -atof(av[++i]); | 
| 163 |  |  | m4[3][2] = -atof(av[++i]); | 
| 164 |  |  | break; | 
| 165 |  |  |  | 
| 166 |  |  | case 'r':                       /* rotate */ | 
| 167 |  |  | switch (av[i][2]) { | 
| 168 |  |  | case 'x': | 
| 169 | greg | 1.6 | checkarg(3,1); | 
| 170 | greg | 1.7 | dtmp = -d2r(atof(av[++i])); | 
| 171 |  |  | m4[1][1] = m4[2][2] = cos(dtmp); | 
| 172 |  |  | m4[2][1] = -(m4[1][2] = sin(dtmp)); | 
| 173 | greg | 1.1 | break; | 
| 174 |  |  | case 'y': | 
| 175 | greg | 1.6 | checkarg(3,1); | 
| 176 | greg | 1.7 | dtmp = -d2r(atof(av[++i])); | 
| 177 |  |  | m4[0][0] = m4[2][2] = cos(dtmp); | 
| 178 |  |  | m4[0][2] = -(m4[2][0] = sin(dtmp)); | 
| 179 | greg | 1.1 | break; | 
| 180 |  |  | case 'z': | 
| 181 | greg | 1.6 | checkarg(3,1); | 
| 182 | greg | 1.7 | dtmp = -d2r(atof(av[++i])); | 
| 183 |  |  | m4[0][0] = m4[1][1] = cos(dtmp); | 
| 184 |  |  | m4[1][0] = -(m4[0][1] = sin(dtmp)); | 
| 185 | greg | 1.1 | break; | 
| 186 |  |  | default: | 
| 187 |  |  | return(i); | 
| 188 |  |  | } | 
| 189 |  |  | break; | 
| 190 |  |  |  | 
| 191 |  |  | case 's':                       /* scale */ | 
| 192 | greg | 1.6 | checkarg(2,1); | 
| 193 | greg | 1.7 | dtmp = atof(av[i+1]); | 
| 194 |  |  | if (dtmp == 0.0) goto done; | 
| 195 |  |  | i++; | 
| 196 | greg | 1.5 | xfsca *= | 
| 197 | greg | 1.1 | m4[0][0] = | 
| 198 |  |  | m4[1][1] = | 
| 199 | greg | 1.7 | m4[2][2] = 1.0 / dtmp; | 
| 200 | greg | 1.1 | break; | 
| 201 |  |  |  | 
| 202 |  |  | case 'm':                       /* mirror */ | 
| 203 |  |  | switch (av[i][2]) { | 
| 204 |  |  | case 'x': | 
| 205 | greg | 1.6 | checkarg(3,0); | 
| 206 | greg | 1.5 | xfsca *= | 
| 207 | greg | 1.1 | m4[0][0] = -1.0; | 
| 208 |  |  | break; | 
| 209 |  |  | case 'y': | 
| 210 | greg | 1.6 | checkarg(3,0); | 
| 211 | greg | 1.5 | xfsca *= | 
| 212 | greg | 1.1 | m4[1][1] = -1.0; | 
| 213 |  |  | break; | 
| 214 |  |  | case 'z': | 
| 215 | greg | 1.6 | checkarg(3,0); | 
| 216 | greg | 1.5 | xfsca *= | 
| 217 | greg | 1.1 | m4[2][2] = -1.0; | 
| 218 |  |  | break; | 
| 219 |  |  | default: | 
| 220 |  |  | return(i); | 
| 221 |  |  | } | 
| 222 |  |  | break; | 
| 223 |  |  |  | 
| 224 | greg | 1.4 | case 'i':                       /* iterate */ | 
| 225 | greg | 1.6 | checkarg(2,1); | 
| 226 | greg | 1.5 | while (icnt-- > 0) { | 
| 227 | greg | 1.9 | multmat4(ret->xfm, xfmat, ret->xfm); | 
| 228 |  |  | ret->sca *= xfsca; | 
| 229 | greg | 1.4 | } | 
| 230 | greg | 1.8 | icnt = atoi(av[++i]); | 
| 231 | greg | 1.4 | setident4(xfmat); | 
| 232 |  |  | xfsca = 1.0; | 
| 233 |  |  | break; | 
| 234 |  |  |  | 
| 235 | greg | 1.1 | default: | 
| 236 |  |  | return(i); | 
| 237 |  |  |  | 
| 238 |  |  | } | 
| 239 |  |  | multmat4(xfmat, m4, xfmat);     /* left multiply */ | 
| 240 | greg | 1.4 | } | 
| 241 |  |  | done: | 
| 242 | greg | 1.8 | while (icnt-- > 0) { | 
| 243 | greg | 1.9 | multmat4(ret->xfm, xfmat, ret->xfm); | 
| 244 |  |  | ret->sca *= xfsca; | 
| 245 | greg | 1.8 | } | 
| 246 | greg | 1.1 | return(i); | 
| 247 | greg | 1.9 | } | 
| 248 |  |  |  | 
| 249 |  |  |  | 
| 250 |  |  | int | 
| 251 |  |  | fullxf(fx, ac, av)                      /* compute both forward and inverse */ | 
| 252 |  |  | FULLXF  *fx; | 
| 253 |  |  | int  ac; | 
| 254 |  |  | char  *av[]; | 
| 255 |  |  | { | 
| 256 |  |  | xf(&fx->f, ac, av); | 
| 257 |  |  | return(invxf(&fx->b, ac, av)); | 
| 258 | greg | 1.1 | } |