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root/radiance/ray/src/rt/rtrace.c
Revision: 2.63
Committed: Wed Dec 16 03:30:50 2009 UTC (14 years, 4 months ago) by greg
Content type: text/plain
Branch: MAIN
CVS Tags: rad4R0
Changes since 2.62: +6 -5 lines
Log Message:
Bug fix for zero-direction rays with multiprocessing

File Contents

# User Rev Content
1 greg 1.1 #ifndef lint
2 greg 2.63 static const char RCSid[] = "$Id: rtrace.c,v 2.62 2009/12/14 07:31:37 greg Exp $";
3 greg 1.1 #endif
4     /*
5     * rtrace.c - program and variables for individual ray tracing.
6 greg 2.27 */
7    
8 greg 2.28 #include "copyright.h"
9 greg 1.1
10     /*
11     * Input is in the form:
12     *
13     * xorg yorg zorg xdir ydir zdir
14     *
15     * The direction need not be normalized. Output is flexible.
16 greg 1.7 * If the direction vector is (0,0,0), then the output is flushed.
17 greg 1.1 * All values default to ascii representation of real
18     * numbers. Binary representations can be selected
19     * with '-ff' for float or '-fd' for double. By default,
20 greg 1.13 * radiance is computed. The '-i' or '-I' options indicate that
21 greg 1.1 * irradiance values are desired.
22     */
23 greg 2.32
24     #include <time.h>
25 greg 1.1
26 schorsch 2.30 #include "platform.h"
27 greg 1.1 #include "ray.h"
28 schorsch 2.37 #include "ambient.h"
29     #include "source.h"
30 greg 1.1 #include "otypes.h"
31 greg 2.6 #include "resolu.h"
32 schorsch 2.49 #include "random.h"
33 greg 2.6
34 greg 2.57 extern int inform; /* input format */
35     extern int outform; /* output format */
36     extern char *outvals; /* output values */
37 greg 2.27
38 greg 2.57 extern int imm_irrad; /* compute immediate irradiance? */
39     extern int lim_dist; /* limit distance? */
40 greg 1.14
41 greg 2.57 extern char *tralist[]; /* list of modifers to trace (or no) */
42     extern int traincl; /* include == 1, exclude == 0 */
43 greg 1.13
44 greg 2.57 extern int hresolu; /* horizontal resolution */
45     extern int vresolu; /* vertical resolution */
46 greg 1.1
47 greg 2.57 static int castonly = 0;
48 greg 2.55
49 greg 2.46 #ifndef MAXTSET
50 greg 2.55 #define MAXTSET 8191 /* maximum number in trace set */
51 greg 2.46 #endif
52 greg 2.15 OBJECT traset[MAXTSET+1]={0}; /* trace include/exclude set */
53    
54 greg 1.1 static RAY thisray; /* for our convenience */
55    
56 schorsch 2.37 typedef void putf_t(double v);
57     static putf_t puta, putd, putf;
58 greg 1.1
59 schorsch 2.37 typedef void oputf_t(RAY *r);
60 greg 2.51 static oputf_t oputo, oputd, oputv, oputV, oputl, oputL, oputc, oputp,
61 greg 2.42 oputn, oputN, oputs, oputw, oputW, oputm, oputM, oputtilde;
62 schorsch 2.37
63     static void setoutput(char *vs);
64 greg 2.57 extern void tranotify(OBJECT obj);
65 schorsch 2.37 static void bogusray(void);
66 greg 2.59 static void raycast(RAY *r);
67     static void rayirrad(RAY *r);
68     static void rtcompute(FVECT org, FVECT dir, double dmax);
69 greg 2.57 static int printvals(RAY *r);
70     static int getvec(FVECT vec, int fmt, FILE *fp);
71     static void tabin(RAY *r);
72     static void ourtrace(RAY *r);
73 greg 1.1
74 schorsch 2.37 static oputf_t *ray_out[16], *every_out[16];
75     static putf_t *putreal;
76 greg 2.27
77 greg 1.1
78 greg 2.27 void
79 schorsch 2.37 quit( /* quit program */
80     int code
81     )
82 greg 1.1 {
83 greg 2.57 if (ray_pnprocs > 0) /* close children if any */
84     ray_pclose(0);
85     #ifndef NON_POSIX
86 greg 2.58 else if (!ray_pnprocs) {
87     headclean(); /* delete header file */
88     pfclean(); /* clean up persist files */
89     }
90 greg 2.11 #endif
91 greg 1.1 exit(code);
92     }
93    
94    
95 greg 2.57 char *
96 schorsch 2.37 formstr( /* return format identifier */
97     int f
98     )
99 greg 2.6 {
100     switch (f) {
101     case 'a': return("ascii");
102     case 'f': return("float");
103     case 'd': return("double");
104     case 'c': return(COLRFMT);
105     }
106     return("unknown");
107     }
108    
109    
110 schorsch 2.37 extern void
111     rtrace( /* trace rays from file */
112 greg 2.59 char *fname,
113     int nproc
114 schorsch 2.37 )
115 greg 1.1 {
116 greg 2.45 unsigned long vcount = (hresolu > 1) ? (unsigned long)hresolu*vresolu
117     : vresolu;
118 greg 1.1 long nextflush = hresolu;
119     FILE *fp;
120 gregl 2.25 double d;
121 greg 1.2 FVECT orig, direc;
122 greg 1.1 /* set up input */
123     if (fname == NULL)
124     fp = stdin;
125     else if ((fp = fopen(fname, "r")) == NULL) {
126     sprintf(errmsg, "cannot open input file \"%s\"", fname);
127     error(SYSTEM, errmsg);
128     }
129 greg 2.8 if (inform != 'a')
130 schorsch 2.30 SET_FILE_BINARY(fp);
131 greg 1.1 /* set up output */
132 greg 2.16 setoutput(outvals);
133 greg 2.59 if (imm_irrad)
134     castonly = 0;
135     else if (castonly)
136     nproc = 1; /* don't bother multiprocessing */
137 greg 1.1 switch (outform) {
138     case 'a': putreal = puta; break;
139     case 'f': putreal = putf; break;
140     case 'd': putreal = putd; break;
141 greg 2.6 case 'c':
142     if (strcmp(outvals, "v"))
143     error(USER, "color format with value output only");
144     break;
145     default:
146     error(CONSISTENCY, "botched output format");
147 greg 1.1 }
148 greg 2.59 if (nproc > 1) { /* start multiprocessing */
149     ray_popen(nproc);
150 greg 2.58 ray_fifo_out = printvals;
151 greg 2.59 }
152 greg 2.12 if (hresolu > 0) {
153     if (vresolu > 0)
154     fprtresolu(hresolu, vresolu, stdout);
155     fflush(stdout);
156     }
157 greg 1.1 /* process file */
158     while (getvec(orig, inform, fp) == 0 &&
159     getvec(direc, inform, fp) == 0) {
160    
161 gregl 2.25 d = normalize(direc);
162     if (d == 0.0) { /* zero ==> flush */
163 greg 2.45 if (--nextflush <= 0 || !vcount) {
164 greg 2.63 if (nproc > 1 && ray_fifo_flush() < 0)
165     error(USER, "lost children");
166     bogusray();
167 gregl 2.24 fflush(stdout);
168     nextflush = hresolu;
169 greg 2.63 } else
170     bogusray();
171 greg 2.57 } else { /* compute and print */
172 greg 2.59 rtcompute(orig, direc, lim_dist ? d : 0.0);
173 greg 1.7 /* flush if time */
174 greg 2.45 if (!--nextflush) {
175 greg 2.59 if (nproc > 1 && ray_fifo_flush() < 0)
176 greg 2.57 error(USER, "lost children");
177 gregl 2.24 fflush(stdout);
178     nextflush = hresolu;
179     }
180 greg 1.1 }
181     if (ferror(stdout))
182     error(SYSTEM, "write error");
183 greg 2.45 if (vcount && !--vcount) /* check for end */
184 greg 1.1 break;
185     }
186 greg 2.59 if (nproc > 1) { /* clean up children */
187     if (ray_fifo_flush() < 0)
188     error(USER, "unable to complete processing");
189     ray_pclose(0);
190     }
191 greg 2.50 if (fflush(stdout) < 0)
192     error(SYSTEM, "write error");
193 greg 2.45 if (vcount)
194 greg 2.42 error(USER, "unexpected EOF on input");
195 greg 2.12 if (fname != NULL)
196     fclose(fp);
197 greg 1.1 }
198    
199    
200 schorsch 2.37 static void
201 greg 2.40 trace_sources(void) /* trace rays to light sources, also */
202     {
203     int sn;
204    
205     for (sn = 0; sn < nsources; sn++)
206     source[sn].sflags |= SFOLLOW;
207     }
208    
209    
210     static void
211 schorsch 2.37 setoutput( /* set up output tables */
212 greg 2.56 char *vs
213 schorsch 2.37 )
214 greg 1.1 {
215 greg 2.56 oputf_t **table = ray_out;
216 greg 1.1
217 greg 1.11 castonly = 1;
218 greg 1.1 while (*vs)
219     switch (*vs++) {
220 greg 2.40 case 'T': /* trace sources */
221 greg 2.42 if (!*vs) break;
222 greg 2.40 trace_sources();
223     /* fall through */
224 greg 1.1 case 't': /* trace */
225 greg 2.42 if (!*vs) break;
226 greg 1.1 *table = NULL;
227     table = every_out;
228     trace = ourtrace;
229 greg 1.11 castonly = 0;
230 greg 1.1 break;
231     case 'o': /* origin */
232     *table++ = oputo;
233     break;
234     case 'd': /* direction */
235     *table++ = oputd;
236     break;
237     case 'v': /* value */
238     *table++ = oputv;
239 greg 1.11 castonly = 0;
240 greg 1.1 break;
241 greg 2.51 case 'V': /* contribution */
242     *table++ = oputV;
243     if (ambounce > 0 && (ambacc > FTINY || ambssamp > 0))
244     error(WARNING,
245     "-otV accuracy depends on -aa 0 -as 0");
246     break;
247 greg 2.5 case 'l': /* effective distance */
248 greg 1.1 *table++ = oputl;
249 greg 1.11 castonly = 0;
250 greg 1.1 break;
251 greg 2.29 case 'c': /* local coordinates */
252     *table++ = oputc;
253     break;
254 greg 2.5 case 'L': /* single ray length */
255     *table++ = oputL;
256     break;
257 greg 1.1 case 'p': /* point */
258     *table++ = oputp;
259     break;
260 greg 2.9 case 'n': /* perturbed normal */
261 greg 1.1 *table++ = oputn;
262 greg 2.9 castonly = 0;
263 greg 1.1 break;
264 greg 2.9 case 'N': /* unperturbed normal */
265     *table++ = oputN;
266     break;
267 greg 1.1 case 's': /* surface */
268     *table++ = oputs;
269     break;
270     case 'w': /* weight */
271     *table++ = oputw;
272     break;
273 greg 2.40 case 'W': /* coefficient */
274     *table++ = oputW;
275     if (ambounce > 0 && (ambacc > FTINY || ambssamp > 0))
276     error(WARNING,
277 greg 2.41 "-otW accuracy depends on -aa 0 -as 0");
278 greg 2.40 break;
279 greg 1.1 case 'm': /* modifier */
280     *table++ = oputm;
281     break;
282 greg 2.39 case 'M': /* material */
283     *table++ = oputM;
284     break;
285 greg 2.42 case '~': /* tilde */
286     *table++ = oputtilde;
287 greg 2.41 break;
288 greg 1.1 }
289     *table = NULL;
290 gregl 2.24 }
291    
292    
293 schorsch 2.37 static void
294     bogusray(void) /* print out empty record */
295 gregl 2.24 {
296     thisray.rorg[0] = thisray.rorg[1] = thisray.rorg[2] =
297     thisray.rdir[0] = thisray.rdir[1] = thisray.rdir[2] = 0.0;
298 greg 2.40 thisray.rmax = 0.0;
299     rayorigin(&thisray, PRIMARY, NULL, NULL);
300 gregl 2.24 printvals(&thisray);
301 greg 1.1 }
302    
303    
304 schorsch 2.37 static void
305 greg 2.59 raycast( /* compute first ray intersection only */
306     RAY *r
307 schorsch 2.37 )
308 greg 1.1 {
309 greg 2.59 if (!localhit(r, &thescene)) {
310     if (r->ro == &Aftplane) { /* clipped */
311     r->ro = NULL;
312     r->rot = FHUGE;
313     } else
314     sourcehit(r);
315 greg 2.57 }
316 greg 1.1 }
317    
318    
319 schorsch 2.37 static void
320 greg 2.59 rayirrad( /* compute irradiance rather than radiance */
321     RAY *r
322     )
323     {
324 greg 2.62 void (*old_revf)(RAY *) = r->revf;
325    
326 greg 2.59 r->rot = 1e-5; /* pretend we hit surface */
327     VSUM(r->rop, r->rorg, r->rdir, r->rot);
328     r->ron[0] = -r->rdir[0];
329     r->ron[1] = -r->rdir[1];
330     r->ron[2] = -r->rdir[2];
331     r->rod = 1.0;
332 greg 2.62 /* compute result */
333 greg 2.61 r->revf = raytrace;
334 greg 2.59 (*ofun[Lamb.otype].funp)(&Lamb, r);
335 greg 2.62 r->revf = old_revf;
336 greg 2.59 }
337    
338    
339     static void
340     rtcompute( /* compute and print ray value(s) */
341 schorsch 2.37 FVECT org,
342 greg 2.59 FVECT dir,
343     double dmax
344 schorsch 2.37 )
345 greg 1.1 {
346 greg 2.60 /* set up ray */
347     rayorigin(&thisray, PRIMARY, NULL, NULL);
348     if (imm_irrad) {
349 greg 2.59 VSUM(thisray.rorg, org, dir, 1.1e-4);
350     thisray.rdir[0] = -dir[0];
351     thisray.rdir[1] = -dir[1];
352     thisray.rdir[2] = -dir[2];
353     thisray.rmax = 0.0;
354 greg 2.60 thisray.revf = rayirrad;
355 greg 2.59 } else {
356     VCOPY(thisray.rorg, org);
357     VCOPY(thisray.rdir, dir);
358     thisray.rmax = dmax;
359 greg 2.60 if (castonly)
360     thisray.revf = raycast;
361 greg 2.59 }
362     if (ray_pnprocs > 1) { /* multiprocessing FIFO? */
363     if (ray_fifo_in(&thisray) < 0)
364     error(USER, "lost children");
365     return;
366     }
367     samplendx++; /* else do it ourselves */
368     rayvalue(&thisray);
369 greg 2.16 printvals(&thisray);
370     }
371    
372    
373 greg 2.57 static int
374 schorsch 2.37 printvals( /* print requested ray values */
375     RAY *r
376     )
377 greg 2.16 {
378 greg 2.56 oputf_t **tp;
379 greg 2.16
380     if (ray_out[0] == NULL)
381 greg 2.57 return(0);
382 greg 2.16 for (tp = ray_out; *tp != NULL; tp++)
383     (**tp)(r);
384 greg 1.1 if (outform == 'a')
385     putchar('\n');
386 greg 2.57 return(1);
387 greg 1.1 }
388    
389    
390 schorsch 2.37 static int
391     getvec( /* get a vector from fp */
392 greg 2.56 FVECT vec,
393 schorsch 2.37 int fmt,
394     FILE *fp
395     )
396 greg 1.1 {
397     static float vf[3];
398 greg 2.5 static double vd[3];
399 greg 1.19 char buf[32];
400 greg 2.56 int i;
401 greg 1.1
402     switch (fmt) {
403     case 'a': /* ascii */
404 greg 1.19 for (i = 0; i < 3; i++) {
405     if (fgetword(buf, sizeof(buf), fp) == NULL ||
406     !isflt(buf))
407     return(-1);
408     vec[i] = atof(buf);
409     }
410 greg 1.1 break;
411     case 'f': /* binary float */
412 greg 1.8 if (fread((char *)vf, sizeof(float), 3, fp) != 3)
413 greg 1.1 return(-1);
414 greg 2.58 VCOPY(vec, vf);
415 greg 1.1 break;
416     case 'd': /* binary double */
417 greg 2.5 if (fread((char *)vd, sizeof(double), 3, fp) != 3)
418 greg 1.1 return(-1);
419 greg 2.58 VCOPY(vec, vd);
420 greg 1.1 break;
421 greg 2.6 default:
422     error(CONSISTENCY, "botched input format");
423 greg 1.1 }
424     return(0);
425     }
426    
427    
428 greg 2.57 void
429 schorsch 2.37 tranotify( /* record new modifier */
430     OBJECT obj
431     )
432 greg 2.15 {
433     static int hitlimit = 0;
434 greg 2.56 OBJREC *o = objptr(obj);
435     char **tralp;
436 greg 2.15
437 greg 2.27 if (obj == OVOID) { /* starting over */
438     traset[0] = 0;
439     hitlimit = 0;
440     return;
441     }
442 greg 2.15 if (hitlimit || !ismodifier(o->otype))
443     return;
444     for (tralp = tralist; *tralp != NULL; tralp++)
445     if (!strcmp(o->oname, *tralp)) {
446     if (traset[0] >= MAXTSET) {
447     error(WARNING, "too many modifiers in trace list");
448     hitlimit++;
449     return; /* should this be fatal? */
450     }
451     insertelem(traset, obj);
452     return;
453     }
454     }
455    
456    
457 greg 2.27 static void
458 schorsch 2.37 ourtrace( /* print ray values */
459     RAY *r
460     )
461 greg 1.1 {
462 greg 2.56 oputf_t **tp;
463 greg 1.1
464     if (every_out[0] == NULL)
465 greg 2.15 return;
466 greg 2.16 if (r->ro == NULL) {
467     if (traincl == 1)
468     return;
469     } else if (traincl != -1 && traincl != inset(traset, r->ro->omod))
470 greg 1.1 return;
471     tabin(r);
472     for (tp = every_out; *tp != NULL; tp++)
473     (**tp)(r);
474 greg 2.41 if (outform == 'a')
475     putchar('\n');
476 greg 1.1 }
477    
478    
479 greg 2.27 static void
480 schorsch 2.37 tabin( /* tab in appropriate amount */
481     RAY *r
482     )
483 greg 1.1 {
484 greg 2.40 const RAY *rp;
485 greg 1.1
486     for (rp = r->parent; rp != NULL; rp = rp->parent)
487     putchar('\t');
488     }
489    
490    
491 greg 2.27 static void
492 schorsch 2.37 oputo( /* print origin */
493     RAY *r
494     )
495 greg 1.1 {
496     (*putreal)(r->rorg[0]);
497     (*putreal)(r->rorg[1]);
498     (*putreal)(r->rorg[2]);
499     }
500    
501    
502 greg 2.27 static void
503 schorsch 2.37 oputd( /* print direction */
504     RAY *r
505     )
506 greg 1.1 {
507     (*putreal)(r->rdir[0]);
508     (*putreal)(r->rdir[1]);
509     (*putreal)(r->rdir[2]);
510     }
511    
512    
513 greg 2.27 static void
514 schorsch 2.37 oputv( /* print value */
515     RAY *r
516     )
517 greg 1.1 {
518 greg 2.6 if (outform == 'c') {
519 greg 2.41 COLR cout;
520 greg 2.6 setcolr(cout, colval(r->rcol,RED),
521     colval(r->rcol,GRN),
522     colval(r->rcol,BLU));
523     fwrite((char *)cout, sizeof(cout), 1, stdout);
524     return;
525     }
526 greg 1.1 (*putreal)(colval(r->rcol,RED));
527     (*putreal)(colval(r->rcol,GRN));
528     (*putreal)(colval(r->rcol,BLU));
529     }
530    
531    
532 greg 2.27 static void
533 greg 2.51 oputV( /* print value contribution */
534     RAY *r
535     )
536     {
537     double contr[3];
538    
539     raycontrib(contr, r, PRIMARY);
540     multcolor(contr, r->rcol);
541     (*putreal)(contr[RED]);
542     (*putreal)(contr[GRN]);
543     (*putreal)(contr[BLU]);
544     }
545    
546    
547     static void
548 schorsch 2.37 oputl( /* print effective distance */
549     RAY *r
550     )
551 greg 1.1 {
552 greg 1.9 (*putreal)(r->rt);
553 greg 2.5 }
554    
555    
556 greg 2.27 static void
557 schorsch 2.37 oputL( /* print single ray length */
558     RAY *r
559     )
560 greg 2.5 {
561     (*putreal)(r->rot);
562 greg 1.1 }
563    
564    
565 greg 2.27 static void
566 schorsch 2.37 oputc( /* print local coordinates */
567     RAY *r
568     )
569 greg 2.29 {
570     (*putreal)(r->uv[0]);
571     (*putreal)(r->uv[1]);
572     }
573    
574    
575     static void
576 schorsch 2.37 oputp( /* print point */
577     RAY *r
578     )
579 greg 1.1 {
580     if (r->rot < FHUGE) {
581     (*putreal)(r->rop[0]);
582     (*putreal)(r->rop[1]);
583     (*putreal)(r->rop[2]);
584     } else {
585     (*putreal)(0.0);
586     (*putreal)(0.0);
587     (*putreal)(0.0);
588     }
589     }
590    
591    
592 greg 2.27 static void
593 schorsch 2.37 oputN( /* print unperturbed normal */
594     RAY *r
595     )
596 greg 1.1 {
597     if (r->rot < FHUGE) {
598     (*putreal)(r->ron[0]);
599     (*putreal)(r->ron[1]);
600     (*putreal)(r->ron[2]);
601     } else {
602     (*putreal)(0.0);
603     (*putreal)(0.0);
604     (*putreal)(0.0);
605     }
606 greg 2.9 }
607    
608    
609 greg 2.27 static void
610 schorsch 2.37 oputn( /* print perturbed normal */
611     RAY *r
612     )
613 greg 2.9 {
614     FVECT pnorm;
615    
616     if (r->rot >= FHUGE) {
617     (*putreal)(0.0);
618     (*putreal)(0.0);
619     (*putreal)(0.0);
620     return;
621     }
622     raynormal(pnorm, r);
623     (*putreal)(pnorm[0]);
624     (*putreal)(pnorm[1]);
625     (*putreal)(pnorm[2]);
626 greg 1.1 }
627    
628    
629 greg 2.27 static void
630 schorsch 2.37 oputs( /* print name */
631     RAY *r
632     )
633 greg 1.1 {
634     if (r->ro != NULL)
635     fputs(r->ro->oname, stdout);
636     else
637     putchar('*');
638     putchar('\t');
639     }
640    
641    
642 greg 2.27 static void
643 schorsch 2.37 oputw( /* print weight */
644     RAY *r
645     )
646 greg 1.1 {
647     (*putreal)(r->rweight);
648     }
649    
650    
651 greg 2.27 static void
652 greg 2.51 oputW( /* print coefficient */
653 greg 2.40 RAY *r
654     )
655     {
656 greg 2.48 double contr[3];
657 greg 2.40
658     raycontrib(contr, r, PRIMARY);
659 greg 2.48 (*putreal)(contr[RED]);
660     (*putreal)(contr[GRN]);
661     (*putreal)(contr[BLU]);
662 greg 2.40 }
663    
664    
665     static void
666 schorsch 2.37 oputm( /* print modifier */
667     RAY *r
668     )
669 greg 1.1 {
670     if (r->ro != NULL)
671 greg 2.23 if (r->ro->omod != OVOID)
672     fputs(objptr(r->ro->omod)->oname, stdout);
673     else
674     fputs(VOIDID, stdout);
675 greg 1.1 else
676     putchar('*');
677     putchar('\t');
678     }
679    
680    
681 greg 2.27 static void
682 greg 2.39 oputM( /* print material */
683     RAY *r
684     )
685     {
686     OBJREC *mat;
687    
688     if (r->ro != NULL) {
689     if ((mat = findmaterial(r->ro)) != NULL)
690     fputs(mat->oname, stdout);
691     else
692     fputs(VOIDID, stdout);
693     } else
694     putchar('*');
695     putchar('\t');
696     }
697    
698    
699     static void
700 greg 2.42 oputtilde( /* output tilde (spacer) */
701 greg 2.41 RAY *r
702     )
703     {
704 greg 2.42 fputs("~\t", stdout);
705 greg 2.41 }
706    
707    
708     static void
709 schorsch 2.37 puta( /* print ascii value */
710     double v
711     )
712 greg 1.1 {
713     printf("%e\t", v);
714     }
715    
716    
717 greg 2.27 static void
718 greg 1.1 putd(v) /* print binary double */
719     double v;
720     {
721 greg 1.8 fwrite((char *)&v, sizeof(v), 1, stdout);
722 greg 1.1 }
723    
724    
725 greg 2.27 static void
726 greg 1.1 putf(v) /* print binary float */
727     double v;
728     {
729     float f = v;
730    
731 greg 1.8 fwrite((char *)&f, sizeof(f), 1, stdout);
732 greg 1.1 }