| 1 |
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#ifndef lint |
| 2 |
< |
static char SCCSid[] = "$SunId$ LBL"; |
| 2 |
> |
static const char RCSid[] = "$Id$"; |
| 3 |
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#endif |
| 4 |
– |
|
| 5 |
– |
/* Copyright (c) 1989 Regents of the University of California */ |
| 6 |
– |
|
| 4 |
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/* |
| 5 |
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* gensurf.c - program to generate functional surfaces |
| 6 |
|
* |
| 11 |
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* rule applied to (s,t). |
| 12 |
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* |
| 13 |
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* 4/3/87 |
| 14 |
+ |
* |
| 15 |
+ |
* 4/16/02 Added conditional vertex output |
| 16 |
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*/ |
| 17 |
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|
| 18 |
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#include "standard.h" |
| 19 |
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|
| 20 |
< |
#define XNAME "X_" /* x function name */ |
| 21 |
< |
#define YNAME "Y_" /* y function name */ |
| 22 |
< |
#define ZNAME "Z_" /* z function name */ |
| 20 |
> |
char XNAME[] = "X`SYS"; /* x function name */ |
| 21 |
> |
char YNAME[] = "Y`SYS"; /* y function name */ |
| 22 |
> |
char ZNAME[] = "Z`SYS"; /* z function name */ |
| 23 |
|
|
| 24 |
+ |
char VNAME[] = "valid"; /* valid vertex name */ |
| 25 |
+ |
|
| 26 |
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#define ABS(x) ((x)>=0 ? (x) : -(x)) |
| 27 |
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|
| 28 |
+ |
#define ZEROVECT(v) (DOT(v,v) <= FTINY*FTINY) |
| 29 |
+ |
|
| 30 |
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#define pvect(p) printf(vformat, (p)[0], (p)[1], (p)[2]) |
| 31 |
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|
| 32 |
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char vformat[] = "%15.9g %15.9g %15.9g\n"; |
| 34 |
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char texname[] = "Phong"; |
| 35 |
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|
| 36 |
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int smooth = 0; /* apply smoothing? */ |
| 37 |
+ |
int objout = 0; /* output .OBJ format? */ |
| 38 |
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|
| 39 |
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char *modname, *surfname; |
| 40 |
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|
| 41 |
< |
double funvalue(), l_hermite(), l_bezier(), l_bspline(), argument(); |
| 41 |
> |
/* recorded data flags */ |
| 42 |
> |
#define HASBORDER 01 |
| 43 |
> |
#define TRIPLETS 02 |
| 44 |
> |
/* a data structure */ |
| 45 |
> |
struct { |
| 46 |
> |
int flags; /* data type */ |
| 47 |
> |
short m, n; /* number of s and t values */ |
| 48 |
> |
FLOAT *data; /* the data itself, s major sort */ |
| 49 |
> |
} datarec; /* our recorded data */ |
| 50 |
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|
| 51 |
+ |
double l_hermite(), l_bezier(), l_bspline(), l_dataval(); |
| 52 |
+ |
extern double funvalue(), argument(); |
| 53 |
+ |
|
| 54 |
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typedef struct { |
| 55 |
+ |
int valid; /* point is valid (vertex number) */ |
| 56 |
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FVECT p; /* vertex position */ |
| 57 |
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FVECT n; /* average normal */ |
| 58 |
+ |
FLOAT uv[2]; /* (u,v) position */ |
| 59 |
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} POINT; |
| 60 |
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|
| 61 |
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|
| 68 |
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int i, j, m, n; |
| 69 |
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char stmp[256]; |
| 70 |
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|
| 71 |
< |
varset("PI", PI); |
| 72 |
< |
funset("hermite", 5, l_hermite); |
| 73 |
< |
funset("bezier", 5, l_bezier); |
| 74 |
< |
funset("bspline", 5, l_bspline); |
| 71 |
> |
varset("PI", ':', PI); |
| 72 |
> |
funset("hermite", 5, ':', l_hermite); |
| 73 |
> |
funset("bezier", 5, ':', l_bezier); |
| 74 |
> |
funset("bspline", 5, ':', l_bspline); |
| 75 |
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|
| 76 |
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if (argc < 8) |
| 77 |
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goto userror; |
| 78 |
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|
| 79 |
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for (i = 8; i < argc; i++) |
| 80 |
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if (!strcmp(argv[i], "-e")) |
| 81 |
< |
scompile(NULL, argv[++i]); |
| 81 |
> |
scompile(argv[++i], NULL, 0); |
| 82 |
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else if (!strcmp(argv[i], "-f")) |
| 83 |
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fcompile(argv[++i]); |
| 84 |
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else if (!strcmp(argv[i], "-s")) |
| 85 |
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smooth++; |
| 86 |
+ |
else if (!strcmp(argv[i], "-o")) |
| 87 |
+ |
objout++; |
| 88 |
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else |
| 89 |
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goto userror; |
| 90 |
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|
| 91 |
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modname = argv[1]; |
| 92 |
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surfname = argv[2]; |
| 74 |
– |
sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
| 75 |
– |
scompile(NULL, stmp); |
| 76 |
– |
sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
| 77 |
– |
scompile(NULL, stmp); |
| 78 |
– |
sprintf(stmp, "%s(s,t)=%s;", ZNAME, argv[5]); |
| 79 |
– |
scompile(NULL, stmp); |
| 93 |
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m = atoi(argv[6]); |
| 94 |
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n = atoi(argv[7]); |
| 95 |
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if (m <= 0 || n <= 0) |
| 96 |
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goto userror; |
| 97 |
< |
|
| 97 |
> |
if (!strcmp(argv[5], "-") || access(argv[5], 4) == 0) { /* file? */ |
| 98 |
> |
funset(ZNAME, 2, ':', l_dataval); |
| 99 |
> |
if (!strcmp(argv[5],argv[3]) && !strcmp(argv[5],argv[4])) { |
| 100 |
> |
loaddata(argv[5], m, n, 3); |
| 101 |
> |
funset(XNAME, 2, ':', l_dataval); |
| 102 |
> |
funset(YNAME, 2, ':', l_dataval); |
| 103 |
> |
} else { |
| 104 |
> |
loaddata(argv[5], m, n, 1); |
| 105 |
> |
sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
| 106 |
> |
scompile(stmp, NULL, 0); |
| 107 |
> |
sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
| 108 |
> |
scompile(stmp, NULL, 0); |
| 109 |
> |
} |
| 110 |
> |
} else { |
| 111 |
> |
sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
| 112 |
> |
scompile(stmp, NULL, 0); |
| 113 |
> |
sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
| 114 |
> |
scompile(stmp, NULL, 0); |
| 115 |
> |
sprintf(stmp, "%s(s,t)=%s;", ZNAME, argv[5]); |
| 116 |
> |
scompile(stmp, NULL, 0); |
| 117 |
> |
} |
| 118 |
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row0 = (POINT *)malloc((n+3)*sizeof(POINT)); |
| 119 |
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row1 = (POINT *)malloc((n+3)*sizeof(POINT)); |
| 120 |
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row2 = (POINT *)malloc((n+3)*sizeof(POINT)); |
| 131 |
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comprow(0.0, row1, n); |
| 132 |
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comprow(1.0/m, row2, n); |
| 133 |
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compnorms(row0, row1, row2, n); |
| 134 |
+ |
if (objout) { |
| 135 |
+ |
printf("\nusemtl %s\n\n", modname); |
| 136 |
+ |
putobjrow(row1, n); |
| 137 |
+ |
} |
| 138 |
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/* for each row */ |
| 139 |
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for (i = 0; i < m; i++) { |
| 140 |
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/* compute next row */ |
| 144 |
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row2 = rp; |
| 145 |
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comprow((double)(i+2)/m, row2, n); |
| 146 |
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compnorms(row0, row1, row2, n); |
| 147 |
+ |
if (objout) |
| 148 |
+ |
putobjrow(row1, n); |
| 149 |
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|
| 150 |
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for (j = 0; j < n; j++) { |
| 151 |
+ |
int orient = (j & 1); |
| 152 |
|
/* put polygons */ |
| 153 |
< |
if ((i+j) & 1) |
| 153 |
> |
if (!(row0[j].valid && row1[j+1].valid)) |
| 154 |
> |
orient = 1; |
| 155 |
> |
else if (!(row1[j].valid && row0[j+1].valid)) |
| 156 |
> |
orient = 0; |
| 157 |
> |
if (orient) |
| 158 |
|
putsquare(&row0[j], &row1[j], |
| 159 |
|
&row0[j+1], &row1[j+1]); |
| 160 |
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else |
| 172 |
|
} |
| 173 |
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|
| 174 |
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|
| 175 |
+ |
loaddata(file, m, n, pointsize) /* load point data from file */ |
| 176 |
+ |
char *file; |
| 177 |
+ |
int m, n; |
| 178 |
+ |
int pointsize; |
| 179 |
+ |
{ |
| 180 |
+ |
FILE *fp; |
| 181 |
+ |
char word[64]; |
| 182 |
+ |
register int size; |
| 183 |
+ |
register FLOAT *dp; |
| 184 |
+ |
|
| 185 |
+ |
datarec.flags = HASBORDER; /* assume border values */ |
| 186 |
+ |
datarec.m = m+1; |
| 187 |
+ |
datarec.n = n+1; |
| 188 |
+ |
size = datarec.m*datarec.n*pointsize; |
| 189 |
+ |
if (pointsize == 3) |
| 190 |
+ |
datarec.flags |= TRIPLETS; |
| 191 |
+ |
dp = (FLOAT *)malloc(size*sizeof(FLOAT)); |
| 192 |
+ |
if ((datarec.data = dp) == NULL) { |
| 193 |
+ |
fputs("Out of memory\n", stderr); |
| 194 |
+ |
exit(1); |
| 195 |
+ |
} |
| 196 |
+ |
if (!strcmp(file, "-")) { |
| 197 |
+ |
file = "<stdin>"; |
| 198 |
+ |
fp = stdin; |
| 199 |
+ |
} else if ((fp = fopen(file, "r")) == NULL) { |
| 200 |
+ |
fputs(file, stderr); |
| 201 |
+ |
fputs(": cannot open\n", stderr); |
| 202 |
+ |
exit(1); |
| 203 |
+ |
} |
| 204 |
+ |
while (size > 0 && fgetword(word, sizeof(word), fp) != NULL) { |
| 205 |
+ |
if (!isflt(word)) { |
| 206 |
+ |
fprintf(stderr, "%s: garbled data value: %s\n", |
| 207 |
+ |
file, word); |
| 208 |
+ |
exit(1); |
| 209 |
+ |
} |
| 210 |
+ |
*dp++ = atof(word); |
| 211 |
+ |
size--; |
| 212 |
+ |
} |
| 213 |
+ |
if (size == (m+n+1)*pointsize) { /* no border after all */ |
| 214 |
+ |
dp = (FLOAT *)realloc((char *)datarec.data, |
| 215 |
+ |
m*n*pointsize*sizeof(FLOAT)); |
| 216 |
+ |
if (dp != NULL) |
| 217 |
+ |
datarec.data = dp; |
| 218 |
+ |
datarec.flags &= ~HASBORDER; |
| 219 |
+ |
datarec.m = m; |
| 220 |
+ |
datarec.n = n; |
| 221 |
+ |
size = 0; |
| 222 |
+ |
} |
| 223 |
+ |
if (datarec.m < 2 || datarec.n < 2 || size != 0 || |
| 224 |
+ |
fgetword(word, sizeof(word), fp) != NULL) { |
| 225 |
+ |
fputs(file, stderr); |
| 226 |
+ |
fputs(": bad number of data points\n", stderr); |
| 227 |
+ |
exit(1); |
| 228 |
+ |
} |
| 229 |
+ |
fclose(fp); |
| 230 |
+ |
} |
| 231 |
+ |
|
| 232 |
+ |
|
| 233 |
+ |
double |
| 234 |
+ |
l_dataval(nam) /* return recorded data value */ |
| 235 |
+ |
char *nam; |
| 236 |
+ |
{ |
| 237 |
+ |
double u, v; |
| 238 |
+ |
register int i, j; |
| 239 |
+ |
register FLOAT *dp; |
| 240 |
+ |
double d00, d01, d10, d11; |
| 241 |
+ |
/* compute coordinates */ |
| 242 |
+ |
u = argument(1); v = argument(2); |
| 243 |
+ |
if (datarec.flags & HASBORDER) { |
| 244 |
+ |
i = u *= datarec.m-1; |
| 245 |
+ |
j = v *= datarec.n-1; |
| 246 |
+ |
} else { |
| 247 |
+ |
i = u = u*datarec.m - .5; |
| 248 |
+ |
j = v = v*datarec.n - .5; |
| 249 |
+ |
} |
| 250 |
+ |
if (i < 0) i = 0; |
| 251 |
+ |
else if (i > datarec.m-2) i = datarec.m-2; |
| 252 |
+ |
if (j < 0) j = 0; |
| 253 |
+ |
else if (j > datarec.n-2) j = datarec.n-2; |
| 254 |
+ |
/* compute value */ |
| 255 |
+ |
if (datarec.flags & TRIPLETS) { |
| 256 |
+ |
dp = datarec.data + 3*(j*datarec.m + i); |
| 257 |
+ |
if (nam == ZNAME) |
| 258 |
+ |
dp += 2; |
| 259 |
+ |
else if (nam == YNAME) |
| 260 |
+ |
dp++; |
| 261 |
+ |
d00 = dp[0]; d01 = dp[3]; |
| 262 |
+ |
dp += 3*datarec.m; |
| 263 |
+ |
d10 = dp[0]; d11 = dp[3]; |
| 264 |
+ |
} else { |
| 265 |
+ |
dp = datarec.data + j*datarec.m + i; |
| 266 |
+ |
d00 = dp[0]; d01 = dp[1]; |
| 267 |
+ |
dp += datarec.m; |
| 268 |
+ |
d10 = dp[0]; d11 = dp[1]; |
| 269 |
+ |
} |
| 270 |
+ |
/* bilinear interpolation */ |
| 271 |
+ |
return((j+1-v)*((i+1-u)*d00+(u-i)*d01)+(v-j)*((i+1-u)*d10+(u-i)*d11)); |
| 272 |
+ |
} |
| 273 |
+ |
|
| 274 |
+ |
|
| 275 |
+ |
putobjrow(rp, n) /* output vertex row to .OBJ */ |
| 276 |
+ |
register POINT *rp; |
| 277 |
+ |
int n; |
| 278 |
+ |
{ |
| 279 |
+ |
static int nverts = 0; |
| 280 |
+ |
|
| 281 |
+ |
for ( ; n-- >= 0; rp++) { |
| 282 |
+ |
if (!rp->valid) |
| 283 |
+ |
continue; |
| 284 |
+ |
fputs("v ", stdout); |
| 285 |
+ |
pvect(rp->p); |
| 286 |
+ |
if (smooth && !ZEROVECT(rp->n)) |
| 287 |
+ |
printf("\tvn %.9g %.9g %.9g\n", |
| 288 |
+ |
rp->n[0], rp->n[1], rp->n[2]); |
| 289 |
+ |
printf("\tvt %.9g %.9g\n", rp->uv[0], rp->uv[1]); |
| 290 |
+ |
rp->valid = ++nverts; |
| 291 |
+ |
} |
| 292 |
+ |
} |
| 293 |
+ |
|
| 294 |
+ |
|
| 295 |
|
putsquare(p0, p1, p2, p3) /* put out a square */ |
| 296 |
|
POINT *p0, *p1, *p2, *p3; |
| 297 |
|
{ |
| 301 |
|
FVECT v1, v2, vc1, vc2; |
| 302 |
|
int ok1, ok2; |
| 303 |
|
/* compute exact normals */ |
| 304 |
< |
fvsum(v1, p1->p, p0->p, -1.0); |
| 305 |
< |
fvsum(v2, p2->p, p0->p, -1.0); |
| 306 |
< |
fcross(vc1, v1, v2); |
| 307 |
< |
ok1 = normalize(vc1) != 0.0; |
| 308 |
< |
fvsum(v1, p2->p, p3->p, -1.0); |
| 309 |
< |
fvsum(v2, p1->p, p3->p, -1.0); |
| 310 |
< |
fcross(vc2, v1, v2); |
| 311 |
< |
ok2 = normalize(vc2) != 0.0; |
| 304 |
> |
ok1 = (p0->valid && p1->valid && p2->valid); |
| 305 |
> |
if (ok1) { |
| 306 |
> |
VSUB(v1, p1->p, p0->p); |
| 307 |
> |
VSUB(v2, p2->p, p0->p); |
| 308 |
> |
fcross(vc1, v1, v2); |
| 309 |
> |
ok1 = (normalize(vc1) != 0.0); |
| 310 |
> |
} |
| 311 |
> |
ok2 = (p1->valid && p2->valid && p3->valid); |
| 312 |
> |
if (ok2) { |
| 313 |
> |
VSUB(v1, p2->p, p3->p); |
| 314 |
> |
VSUB(v2, p1->p, p3->p); |
| 315 |
> |
fcross(vc2, v1, v2); |
| 316 |
> |
ok2 = (normalize(vc2) != 0.0); |
| 317 |
> |
} |
| 318 |
|
if (!(ok1 | ok2)) |
| 319 |
|
return; |
| 320 |
+ |
if (objout) { /* output .OBJ faces */ |
| 321 |
+ |
int p0n=0, p1n=0, p2n=0, p3n=0; |
| 322 |
+ |
if (smooth) { |
| 323 |
+ |
if (!ZEROVECT(p0->n)) |
| 324 |
+ |
p0n = p0->valid; |
| 325 |
+ |
if (!ZEROVECT(p1->n)) |
| 326 |
+ |
p1n = p1->valid; |
| 327 |
+ |
if (!ZEROVECT(p2->n)) |
| 328 |
+ |
p2n = p2->valid; |
| 329 |
+ |
if (!ZEROVECT(p3->n)) |
| 330 |
+ |
p3n = p3->valid; |
| 331 |
+ |
} |
| 332 |
+ |
if (ok1 & ok2 && fdot(vc1,vc2) >= 1.0-FTINY*FTINY) { |
| 333 |
+ |
printf("f %d/%d/%d %d/%d/%d %d/%d/%d %d/%d/%d\n", |
| 334 |
+ |
p0->valid, p0->valid, p0n, |
| 335 |
+ |
p1->valid, p1->valid, p1n, |
| 336 |
+ |
p3->valid, p3->valid, p3n, |
| 337 |
+ |
p2->valid, p2->valid, p2n); |
| 338 |
+ |
return; |
| 339 |
+ |
} |
| 340 |
+ |
if (ok1) |
| 341 |
+ |
printf("f %d/%d/%d %d/%d/%d %d/%d/%d\n", |
| 342 |
+ |
p0->valid, p0->valid, p0n, |
| 343 |
+ |
p1->valid, p1->valid, p1n, |
| 344 |
+ |
p2->valid, p2->valid, p2n); |
| 345 |
+ |
if (ok2) |
| 346 |
+ |
printf("f %d/%d/%d %d/%d/%d %d/%d/%d\n", |
| 347 |
+ |
p2->valid, p2->valid, p2n, |
| 348 |
+ |
p1->valid, p1->valid, p1n, |
| 349 |
+ |
p3->valid, p3->valid, p3n); |
| 350 |
+ |
return; |
| 351 |
+ |
} |
| 352 |
|
/* compute normal interpolation */ |
| 353 |
|
axis = norminterp(norm, p0, p1, p2, p3); |
| 354 |
|
|
| 424 |
|
{ |
| 425 |
|
double st[2]; |
| 426 |
|
int end; |
| 427 |
+ |
int checkvalid; |
| 428 |
|
register int i; |
| 429 |
|
|
| 430 |
|
if (smooth) { |
| 437 |
|
end = siz; |
| 438 |
|
} |
| 439 |
|
st[0] = s; |
| 440 |
+ |
checkvalid = (fundefined(VNAME) == 2); |
| 441 |
|
while (i <= end) { |
| 442 |
|
st[1] = (double)i/siz; |
| 443 |
< |
row[i].p[0] = funvalue(XNAME, 2, st); |
| 444 |
< |
row[i].p[1] = funvalue(YNAME, 2, st); |
| 445 |
< |
row[i].p[2] = funvalue(ZNAME, 2, st); |
| 443 |
> |
if (checkvalid && funvalue(VNAME, 2, st) <= 0.0) { |
| 444 |
> |
row[i].valid = 0; |
| 445 |
> |
row[i].p[0] = row[i].p[1] = row[i].p[2] = 0.0; |
| 446 |
> |
row[i].uv[0] = row[i].uv[1] = 0.0; |
| 447 |
> |
} else { |
| 448 |
> |
row[i].valid = 1; |
| 449 |
> |
row[i].p[0] = funvalue(XNAME, 2, st); |
| 450 |
> |
row[i].p[1] = funvalue(YNAME, 2, st); |
| 451 |
> |
row[i].p[2] = funvalue(ZNAME, 2, st); |
| 452 |
> |
row[i].uv[0] = st[0]; |
| 453 |
> |
row[i].uv[1] = st[1]; |
| 454 |
> |
} |
| 455 |
|
i++; |
| 456 |
|
} |
| 457 |
|
} |
| 461 |
|
register POINT *r0, *r1, *r2; |
| 462 |
|
int siz; |
| 463 |
|
{ |
| 464 |
< |
FVECT v1, v2, vc; |
| 252 |
< |
register int i; |
| 464 |
> |
FVECT v1, v2; |
| 465 |
|
|
| 466 |
|
if (!smooth) /* not needed if no smoothing */ |
| 467 |
|
return; |
| 468 |
< |
/* compute middle points */ |
| 468 |
> |
/* compute row 1 normals */ |
| 469 |
|
while (siz-- >= 0) { |
| 470 |
< |
fvsum(v1, r2[0].p, r1[0].p, -1.0); |
| 471 |
< |
fvsum(v2, r1[1].p, r1[0].p, -1.0); |
| 470 |
> |
if (!r1[0].valid) |
| 471 |
> |
continue; |
| 472 |
> |
if (!r0[0].valid) { |
| 473 |
> |
if (!r2[0].valid) { |
| 474 |
> |
r1[0].n[0] = r1[0].n[1] = r1[0].n[2] = 0.0; |
| 475 |
> |
continue; |
| 476 |
> |
} |
| 477 |
> |
fvsum(v1, r2[0].p, r1[0].p, -1.0); |
| 478 |
> |
} else if (!r2[0].valid) |
| 479 |
> |
fvsum(v1, r1[0].p, r0[0].p, -1.0); |
| 480 |
> |
else |
| 481 |
> |
fvsum(v1, r2[0].p, r0[0].p, -1.0); |
| 482 |
> |
if (!r1[-1].valid) { |
| 483 |
> |
if (!r1[1].valid) { |
| 484 |
> |
r1[0].n[0] = r1[0].n[1] = r1[0].n[2] = 0.0; |
| 485 |
> |
continue; |
| 486 |
> |
} |
| 487 |
> |
fvsum(v2, r1[1].p, r1[0].p, -1.0); |
| 488 |
> |
} else if (!r1[1].valid) |
| 489 |
> |
fvsum(v2, r1[0].p, r1[-1].p, -1.0); |
| 490 |
> |
else |
| 491 |
> |
fvsum(v2, r1[1].p, r1[-1].p, -1.0); |
| 492 |
|
fcross(r1[0].n, v1, v2); |
| 261 |
– |
fvsum(v1, r0[0].p, r1[0].p, -1.0); |
| 262 |
– |
fcross(vc, v2, v1); |
| 263 |
– |
fvsum(r1[0].n, r1[0].n, vc, 1.0); |
| 264 |
– |
fvsum(v2, r1[-1].p, r1[0].p, -1.0); |
| 265 |
– |
fcross(vc, v1, v2); |
| 266 |
– |
fvsum(r1[0].n, r1[0].n, vc, 1.0); |
| 267 |
– |
fvsum(v1, r2[0].p, r1[0].p, -1.0); |
| 268 |
– |
fcross(vc, v2, v1); |
| 269 |
– |
fvsum(r1[0].n, r1[0].n, vc, 1.0); |
| 493 |
|
normalize(r1[0].n); |
| 494 |
|
r0++; r1++; r2++; |
| 495 |
|
} |
| 505 |
|
#define v ((ax+2)%3) |
| 506 |
|
|
| 507 |
|
register int ax; |
| 508 |
< |
double eqnmat[4][4]; |
| 508 |
> |
MAT4 eqnmat; |
| 509 |
|
FVECT v1; |
| 510 |
|
register int i, j; |
| 511 |
|
|
| 536 |
|
eqnmat[3][2] = p3->p[v]; |
| 537 |
|
eqnmat[3][3] = 1.0; |
| 538 |
|
/* invert matrix (solve system) */ |
| 539 |
< |
if (!invmat(eqnmat, eqnmat)) |
| 539 |
> |
if (!invmat4(eqnmat, eqnmat)) |
| 540 |
|
return(-1); /* no solution */ |
| 541 |
|
/* compute result matrix */ |
| 542 |
|
for (j = 0; j < 4; j++) |
| 552 |
|
} |
| 553 |
|
|
| 554 |
|
|
| 555 |
< |
/* |
| 333 |
< |
* invmat - computes the inverse of mat into inverse. Returns 1 |
| 334 |
< |
* if there exists an inverse, 0 otherwise. It uses Gaussian Elimination |
| 335 |
< |
* method. |
| 336 |
< |
*/ |
| 337 |
< |
|
| 338 |
< |
invmat(inverse,mat) |
| 339 |
< |
double mat[4][4],inverse[4][4]; |
| 340 |
< |
{ |
| 341 |
< |
#define SWAP(a,b,t) (t=a,a=b,b=t) |
| 342 |
< |
|
| 343 |
< |
double m4tmp[4][4]; |
| 344 |
< |
register int i,j,k; |
| 345 |
< |
register double temp; |
| 346 |
< |
|
| 347 |
< |
bcopy((char *)mat, (char *)m4tmp, sizeof(m4tmp)); |
| 348 |
< |
/* set inverse to identity */ |
| 349 |
< |
for (i = 0; i < 4; i++) |
| 350 |
< |
for (j = 0; j < 4; j++) |
| 351 |
< |
inverse[i][j] = i==j ? 1.0 : 0.0; |
| 352 |
< |
|
| 353 |
< |
for(i = 0; i < 4; i++) { |
| 354 |
< |
/* Look for raw with largest pivot and swap raws */ |
| 355 |
< |
temp = FTINY; j = -1; |
| 356 |
< |
for(k = i; k < 4; k++) |
| 357 |
< |
if(ABS(m4tmp[k][i]) > temp) { |
| 358 |
< |
temp = ABS(m4tmp[k][i]); |
| 359 |
< |
j = k; |
| 360 |
< |
} |
| 361 |
< |
if(j == -1) /* No replacing raw -> no inverse */ |
| 362 |
< |
return(0); |
| 363 |
< |
if (j != i) |
| 364 |
< |
for(k = 0; k < 4; k++) { |
| 365 |
< |
SWAP(m4tmp[i][k],m4tmp[j][k],temp); |
| 366 |
< |
SWAP(inverse[i][k],inverse[j][k],temp); |
| 367 |
< |
} |
| 368 |
< |
|
| 369 |
< |
temp = m4tmp[i][i]; |
| 370 |
< |
for(k = 0; k < 4; k++) { |
| 371 |
< |
m4tmp[i][k] /= temp; |
| 372 |
< |
inverse[i][k] /= temp; |
| 373 |
< |
} |
| 374 |
< |
for(j = 0; j < 4; j++) { |
| 375 |
< |
if(j != i) { |
| 376 |
< |
temp = m4tmp[j][i]; |
| 377 |
< |
for(k = 0; k < 4; k++) { |
| 378 |
< |
m4tmp[j][k] -= m4tmp[i][k]*temp; |
| 379 |
< |
inverse[j][k] -= inverse[i][k]*temp; |
| 380 |
< |
} |
| 381 |
< |
} |
| 382 |
< |
} |
| 383 |
< |
} |
| 384 |
< |
return(1); |
| 385 |
< |
|
| 386 |
< |
#undef SWAP |
| 387 |
< |
} |
| 388 |
< |
|
| 389 |
< |
|
| 555 |
> |
void |
| 556 |
|
eputs(msg) |
| 557 |
|
char *msg; |
| 558 |
|
{ |
| 560 |
|
} |
| 561 |
|
|
| 562 |
|
|
| 563 |
+ |
void |
| 564 |
|
wputs(msg) |
| 565 |
|
char *msg; |
| 566 |
|
{ |
| 568 |
|
} |
| 569 |
|
|
| 570 |
|
|
| 571 |
+ |
void |
| 572 |
|
quit(code) |
| 573 |
+ |
int code; |
| 574 |
|
{ |
| 575 |
|
exit(code); |
| 576 |
|
} |