| 1 |
– |
/* Copyright (c) 1989 Regents of the University of California */ |
| 2 |
– |
|
| 1 |
|
#ifndef lint |
| 2 |
|
static char SCCSid[] = "$SunId$ LBL"; |
| 3 |
|
#endif |
| 4 |
|
|
| 5 |
+ |
/* Copyright (c) 1989 Regents of the University of California */ |
| 6 |
+ |
|
| 7 |
|
/* |
| 8 |
|
* gensurf.c - program to generate functional surfaces |
| 9 |
|
* |
| 18 |
|
|
| 19 |
|
#include "standard.h" |
| 20 |
|
|
| 21 |
< |
#define XNAME "X_" /* x function name */ |
| 22 |
< |
#define YNAME "Y_" /* y function name */ |
| 23 |
< |
#define ZNAME "Z_" /* z function name */ |
| 21 |
> |
#define XNAME "X`SYS`" /* x function name */ |
| 22 |
> |
#define YNAME "Y`SYS`" /* y function name */ |
| 23 |
> |
#define ZNAME "Z`SYS`" /* z function name */ |
| 24 |
|
|
| 25 |
|
#define ABS(x) ((x)>=0 ? (x) : -(x)) |
| 26 |
|
|
| 34 |
|
|
| 35 |
|
char *modname, *surfname; |
| 36 |
|
|
| 37 |
< |
double funvalue(), l_hermite(), argument(); |
| 37 |
> |
double funvalue(), l_hermite(), l_bezier(), l_bspline(), argument(); |
| 38 |
|
|
| 39 |
|
typedef struct { |
| 40 |
|
FVECT p; /* vertex position */ |
| 46 |
|
int argc; |
| 47 |
|
char *argv[]; |
| 48 |
|
{ |
| 49 |
+ |
extern long eclock; |
| 50 |
|
POINT *row0, *row1, *row2, *rp; |
| 51 |
|
int i, j, m, n; |
| 52 |
|
char stmp[256]; |
| 53 |
|
|
| 54 |
< |
varset("PI", PI); |
| 55 |
< |
funset("hermite", 5, l_hermite); |
| 54 |
> |
varset("PI", ':', PI); |
| 55 |
> |
funset("hermite", 5, ':', l_hermite); |
| 56 |
> |
funset("bezier", 5, ':', l_bezier); |
| 57 |
> |
funset("bspline", 5, ':', l_bspline); |
| 58 |
|
|
| 59 |
|
if (argc < 8) |
| 60 |
|
goto userror; |
| 61 |
|
|
| 62 |
|
for (i = 8; i < argc; i++) |
| 63 |
|
if (!strcmp(argv[i], "-e")) |
| 64 |
< |
scompile(NULL, argv[++i]); |
| 64 |
> |
scompile(argv[++i], NULL, 0); |
| 65 |
|
else if (!strcmp(argv[i], "-f")) |
| 66 |
|
fcompile(argv[++i]); |
| 67 |
|
else if (!strcmp(argv[i], "-s")) |
| 72 |
|
modname = argv[1]; |
| 73 |
|
surfname = argv[2]; |
| 74 |
|
sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
| 75 |
< |
scompile(NULL, stmp); |
| 75 |
> |
scompile(stmp, NULL, 0); |
| 76 |
|
sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
| 77 |
< |
scompile(NULL, stmp); |
| 77 |
> |
scompile(stmp, NULL, 0); |
| 78 |
|
sprintf(stmp, "%s(s,t)=%s;", ZNAME, argv[5]); |
| 79 |
< |
scompile(NULL, stmp); |
| 79 |
> |
scompile(stmp, NULL, 0); |
| 80 |
|
m = atoi(argv[6]); |
| 81 |
|
n = atoi(argv[7]); |
| 82 |
|
if (m <= 0 || n <= 0) |
| 92 |
|
row0++; row1++; row2++; |
| 93 |
|
/* print header */ |
| 94 |
|
printhead(argc, argv); |
| 95 |
+ |
eclock = 0; |
| 96 |
|
/* initialize */ |
| 97 |
|
comprow(-1.0/m, row0, n); |
| 98 |
|
comprow(0.0, row1, n); |
| 221 |
|
int siz; |
| 222 |
|
{ |
| 223 |
|
double st[2]; |
| 224 |
+ |
int end; |
| 225 |
|
register int i; |
| 226 |
< |
/* compute one past each end */ |
| 226 |
> |
|
| 227 |
> |
if (smooth) { |
| 228 |
> |
i = -1; /* compute one past each end */ |
| 229 |
> |
end = siz+1; |
| 230 |
> |
} else { |
| 231 |
> |
if (s < -FTINY || s > 1.0+FTINY) |
| 232 |
> |
return; |
| 233 |
> |
i = 0; |
| 234 |
> |
end = siz; |
| 235 |
> |
} |
| 236 |
|
st[0] = s; |
| 237 |
< |
for (i = -1; i <= siz+1; i++) { |
| 237 |
> |
while (i <= end) { |
| 238 |
|
st[1] = (double)i/siz; |
| 239 |
|
row[i].p[0] = funvalue(XNAME, 2, st); |
| 240 |
|
row[i].p[1] = funvalue(YNAME, 2, st); |
| 241 |
|
row[i].p[2] = funvalue(ZNAME, 2, st); |
| 242 |
+ |
i++; |
| 243 |
|
} |
| 244 |
|
} |
| 245 |
|
|
| 248 |
|
register POINT *r0, *r1, *r2; |
| 249 |
|
int siz; |
| 250 |
|
{ |
| 251 |
< |
FVECT v1, v2, vc; |
| 251 |
> |
FVECT v1, v2; |
| 252 |
|
register int i; |
| 253 |
|
|
| 254 |
|
if (!smooth) /* not needed if no smoothing */ |
| 255 |
|
return; |
| 256 |
|
/* compute middle points */ |
| 257 |
|
while (siz-- >= 0) { |
| 258 |
< |
fvsum(v1, r2[0].p, r1[0].p, -1.0); |
| 259 |
< |
fvsum(v2, r1[1].p, r1[0].p, -1.0); |
| 258 |
> |
fvsum(v1, r2[0].p, r0[0].p, -1.0); |
| 259 |
> |
fvsum(v2, r1[1].p, r1[-1].p, -1.0); |
| 260 |
|
fcross(r1[0].n, v1, v2); |
| 246 |
– |
fvsum(v1, r0[0].p, r1[0].p, -1.0); |
| 247 |
– |
fcross(vc, v2, v1); |
| 248 |
– |
fvsum(r1[0].n, r1[0].n, vc, 1.0); |
| 249 |
– |
fvsum(v2, r1[-1].p, r1[0].p, -1.0); |
| 250 |
– |
fcross(vc, v1, v2); |
| 251 |
– |
fvsum(r1[0].n, r1[0].n, vc, 1.0); |
| 252 |
– |
fvsum(v1, r2[0].p, r1[0].p, -1.0); |
| 253 |
– |
fcross(vc, v2, v1); |
| 254 |
– |
fvsum(r1[0].n, r1[0].n, vc, 1.0); |
| 261 |
|
normalize(r1[0].n); |
| 262 |
|
r0++; r1++; r2++; |
| 263 |
|
} |
| 273 |
|
#define v ((ax+2)%3) |
| 274 |
|
|
| 275 |
|
register int ax; |
| 276 |
< |
double eqnmat[4][4]; |
| 276 |
> |
MAT4 eqnmat; |
| 277 |
|
FVECT v1; |
| 278 |
|
register int i, j; |
| 279 |
|
|
| 327 |
|
*/ |
| 328 |
|
|
| 329 |
|
invmat(inverse,mat) |
| 330 |
< |
double mat[4][4],inverse[4][4]; |
| 330 |
> |
MAT4 inverse, mat; |
| 331 |
|
{ |
| 332 |
|
#define SWAP(a,b,t) (t=a,a=b,b=t) |
| 333 |
|
|
| 334 |
< |
double m4tmp[4][4]; |
| 334 |
> |
MAT4 m4tmp; |
| 335 |
|
register int i,j,k; |
| 336 |
|
register double temp; |
| 337 |
|
|
| 338 |
< |
bcopy((char *)mat, (char *)m4tmp, sizeof(m4tmp)); |
| 338 |
> |
copymat4(m4tmp, mat); |
| 339 |
|
/* set inverse to identity */ |
| 340 |
|
for (i = 0; i < 4; i++) |
| 341 |
|
for (j = 0; j < 4; j++) |
| 342 |
|
inverse[i][j] = i==j ? 1.0 : 0.0; |
| 343 |
|
|
| 344 |
|
for(i = 0; i < 4; i++) { |
| 345 |
< |
/* Look for raw with largest pivot and swap raws */ |
| 345 |
> |
/* Look for row with largest pivot and swap rows */ |
| 346 |
|
temp = FTINY; j = -1; |
| 347 |
|
for(k = i; k < 4; k++) |
| 348 |
|
if(ABS(m4tmp[k][i]) > temp) { |
| 349 |
|
temp = ABS(m4tmp[k][i]); |
| 350 |
|
j = k; |
| 351 |
|
} |
| 352 |
< |
if(j == -1) /* No replacing raw -> no inverse */ |
| 352 |
> |
if(j == -1) /* No replacing row -> no inverse */ |
| 353 |
|
return(0); |
| 354 |
|
if (j != i) |
| 355 |
|
for(k = 0; k < 4; k++) { |
| 421 |
|
argument(2)*(-2.0*t+3.0)*t*t + |
| 422 |
|
argument(3)*((t-2.0)*t+1.0)*t + |
| 423 |
|
argument(4)*(t-1.0)*t*t ); |
| 424 |
+ |
} |
| 425 |
+ |
|
| 426 |
+ |
|
| 427 |
+ |
double |
| 428 |
+ |
l_bezier() |
| 429 |
+ |
{ |
| 430 |
+ |
double t; |
| 431 |
+ |
|
| 432 |
+ |
t = argument(5); |
| 433 |
+ |
return( argument(1) * (1.+t*(-3.+t*(3.-t))) + |
| 434 |
+ |
argument(2) * 3.*t*(1.+t*(-2.+t)) + |
| 435 |
+ |
argument(3) * 3.*t*t*(1.-t) + |
| 436 |
+ |
argument(4) * t*t*t ); |
| 437 |
+ |
} |
| 438 |
+ |
|
| 439 |
+ |
|
| 440 |
+ |
double |
| 441 |
+ |
l_bspline() |
| 442 |
+ |
{ |
| 443 |
+ |
double t; |
| 444 |
+ |
|
| 445 |
+ |
t = argument(5); |
| 446 |
+ |
return( argument(1) * (1./6.+t*(-1./2.+t*(1./2.-1./6.*t))) + |
| 447 |
+ |
argument(2) * (2./3.+t*t*(-1.+1./2.*t)) + |
| 448 |
+ |
argument(3) * (1./6.+t*(1./2.+t*(1./2.-1./2.*t))) + |
| 449 |
+ |
argument(4) * (1./6.*t*t*t) ); |
| 450 |
|
} |