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root/radiance/ray/src/rt/source.c
Revision: 2.62
Committed: Wed May 7 02:08:12 2014 UTC (9 years, 11 months ago) by greg
Content type: text/plain
Branch: MAIN
CVS Tags: rad4R2
Changes since 2.61: +27 -29 lines
Log Message:
Removed outdated modifiers

File Contents

# Content
1 #ifndef lint
2 static const char RCSid[] = "$Id: source.c,v 2.61 2011/08/02 22:47:30 greg Exp $";
3 #endif
4 /*
5 * source.c - routines dealing with illumination sources.
6 *
7 * External symbols declared in source.h
8 */
9
10 #include "ray.h"
11 #include "otypes.h"
12 #include "rtotypes.h"
13 #include "source.h"
14 #include "random.h"
15
16 #ifndef MAXSSAMP
17 #define MAXSSAMP 16 /* maximum samples per ray */
18 #endif
19
20 /*
21 * Structures used by direct()
22 */
23
24 typedef struct {
25 int sno; /* source number */
26 FVECT dir; /* source direction */
27 COLOR coef; /* material coefficient */
28 COLOR val; /* contribution */
29 } CONTRIB; /* direct contribution */
30
31 typedef struct {
32 int sndx; /* source index (to CONTRIB array) */
33 float brt; /* brightness (for comparison) */
34 } CNTPTR; /* contribution pointer */
35
36 static CONTRIB *srccnt; /* source contributions in direct() */
37 static CNTPTR *cntord; /* source ordering in direct() */
38 static int maxcntr = 0; /* size of contribution arrays */
39
40 static int cntcmp(const void *p1, const void *p2);
41
42
43 OBJREC * /* find an object's actual material */
44 findmaterial(OBJREC *o)
45 {
46 while (!ismaterial(o->otype)) {
47 if (o->otype == MOD_ALIAS && o->oargs.nsargs) {
48 OBJECT aobj;
49 OBJREC *ao;
50 aobj = lastmod(objndx(o), o->oargs.sarg[0]);
51 if (aobj < 0)
52 objerror(o, USER, "bad reference");
53 ao = objptr(aobj);
54 if (ismaterial(ao->otype))
55 return(ao);
56 if (ao->otype == MOD_ALIAS) {
57 o = ao;
58 continue;
59 }
60 }
61 if (o->omod == OVOID)
62 return(NULL);
63 o = objptr(o->omod);
64 }
65 return(o); /* mixtures will return NULL */
66 }
67
68
69 void
70 marksources(void) /* find and mark source objects */
71 {
72 int foundsource = 0;
73 int i;
74 OBJREC *o, *m;
75 int ns;
76 /* initialize dispatch table */
77 initstypes();
78 /* find direct sources */
79 for (i = 0; i < nsceneobjs; i++) {
80
81 o = objptr(i);
82
83 if (!issurface(o->otype) || o->omod == OVOID)
84 continue;
85 /* find material */
86 m = findmaterial(objptr(o->omod));
87 if (m == NULL)
88 continue;
89 if (m->otype == MAT_CLIP) {
90 markclip(m); /* special case for antimatter */
91 continue;
92 }
93 if (!islight(m->otype))
94 continue; /* not source modifier */
95
96 if (m->oargs.nfargs != (m->otype == MAT_GLOW ? 4 :
97 m->otype == MAT_SPOT ? 7 : 3))
98 objerror(m, USER, "bad # arguments");
99
100 if (m->oargs.farg[0] <= FTINY && m->oargs.farg[1] <= FTINY &&
101 m->oargs.farg[2] <= FTINY)
102 continue; /* don't bother */
103 if (m->otype == MAT_GLOW &&
104 o->otype != OBJ_SOURCE &&
105 m->oargs.farg[3] <= FTINY) {
106 foundsource += (ambounce > 0);
107 continue; /* don't track these */
108 }
109 if (sfun[o->otype].of == NULL ||
110 sfun[o->otype].of->setsrc == NULL)
111 objerror(o, USER, "illegal material");
112
113 if ((ns = newsource()) < 0)
114 goto memerr;
115
116 setsource(&source[ns], o);
117
118 if (m->otype == MAT_GLOW) {
119 source[ns].sflags |= SPROX;
120 source[ns].sl.prox = m->oargs.farg[3];
121 if (source[ns].sflags & SDISTANT) {
122 source[ns].sflags |= SSKIP;
123 foundsource += (ambounce > 0);
124 }
125 } else if (m->otype == MAT_SPOT) {
126 source[ns].sflags |= SSPOT;
127 if ((source[ns].sl.s = makespot(m)) == NULL)
128 goto memerr;
129 if (source[ns].sflags & SFLAT &&
130 !checkspot(source[ns].sl.s,source[ns].snorm)) {
131 objerror(o, WARNING,
132 "invalid spotlight direction");
133 source[ns].sflags |= SSKIP;
134 }
135 }
136 #if SHADCACHE
137 initobscache(ns);
138 #endif
139 foundsource += !(source[ns].sflags & SSKIP);
140 }
141 if (!foundsource) {
142 error(WARNING, "no light sources found");
143 return;
144 }
145 markvirtuals(); /* find and add virtual sources */
146 /* allocate our contribution arrays */
147 maxcntr = nsources + MAXSPART; /* start with this many */
148 srccnt = (CONTRIB *)malloc(maxcntr*sizeof(CONTRIB));
149 cntord = (CNTPTR *)malloc(maxcntr*sizeof(CNTPTR));
150 if ((srccnt == NULL) | (cntord == NULL))
151 goto memerr;
152 return;
153 memerr:
154 error(SYSTEM, "out of memory in marksources");
155 }
156
157
158 void
159 freesources(void) /* free all source structures */
160 {
161 if (nsources > 0) {
162 #if SHADCACHE
163 while (nsources--)
164 freeobscache(&source[nsources]);
165 #endif
166 free((void *)source);
167 source = NULL;
168 nsources = 0;
169 }
170 markclip(NULL);
171 if (maxcntr <= 0)
172 return;
173 free((void *)srccnt);
174 srccnt = NULL;
175 free((void *)cntord);
176 cntord = NULL;
177 maxcntr = 0;
178 }
179
180
181 int
182 srcray( /* send a ray to a source, return domega */
183 RAY *sr, /* returned source ray */
184 RAY *r, /* ray which hit object */
185 SRCINDEX *si /* source sample index */
186 )
187 {
188 double d; /* distance to source */
189 SRCREC *srcp;
190
191 rayorigin(sr, SHADOW, r, NULL); /* ignore limits */
192
193 if (r == NULL)
194 sr->rmax = 0.0;
195
196 while ((d = nextssamp(sr, si)) != 0.0) {
197 sr->rsrc = si->sn; /* remember source */
198 srcp = source + si->sn;
199 if (srcp->sflags & SDISTANT) {
200 if (srcp->sflags & SSPOT && spotout(sr, srcp->sl.s))
201 continue;
202 return(1); /* sample OK */
203 }
204 /* local source */
205 /* check proximity */
206 if (srcp->sflags & SPROX && d > srcp->sl.prox)
207 continue;
208 /* check angle */
209 if (srcp->sflags & SSPOT) {
210 if (spotout(sr, srcp->sl.s))
211 continue;
212 /* adjust solid angle */
213 si->dom *= d*d;
214 d += srcp->sl.s->flen;
215 si->dom /= d*d;
216 }
217 return(1); /* sample OK */
218 }
219 return(0); /* no more samples */
220 }
221
222
223 void
224 srcvalue( /* punch ray to source and compute value */
225 RAY *r
226 )
227 {
228 SRCREC *sp;
229
230 sp = &source[r->rsrc];
231 if (sp->sflags & SVIRTUAL) { /* virtual source */
232 /* check intersection */
233 if (!(*ofun[sp->so->otype].funp)(sp->so, r))
234 return;
235 if (!rayshade(r, r->ro->omod)) /* compute contribution */
236 goto nomat;
237 rayparticipate(r);
238 return;
239 }
240 /* compute intersection */
241 if (sp->sflags & SDISTANT ? sourcehit(r) :
242 (*ofun[sp->so->otype].funp)(sp->so, r)) {
243 if (sp->sa.success >= 0)
244 sp->sa.success++;
245 if (!rayshade(r, r->ro->omod)) /* compute contribution */
246 goto nomat;
247 rayparticipate(r);
248 return;
249 }
250 /* we missed our mark! */
251 if (sp->sa.success < 0)
252 return; /* bitched already */
253 sp->sa.success -= AIMREQT;
254 if (sp->sa.success >= 0)
255 return; /* leniency */
256 sprintf(errmsg, "aiming failure for light source \"%s\"",
257 sp->so->oname);
258 error(WARNING, errmsg); /* issue warning */
259 return;
260 nomat:
261 objerror(r->ro, USER, "material not found");
262 }
263
264
265 static int
266 transillum( /* check if material is transparent illum */
267 OBJECT obj
268 )
269 {
270 OBJREC *m = findmaterial(objptr(obj));
271
272 if (m == NULL)
273 return(1);
274 if (m->otype != MAT_ILLUM)
275 return(0);
276 return(!m->oargs.nsargs || !strcmp(m->oargs.sarg[0], VOIDID));
277 }
278
279
280 int
281 sourcehit( /* check to see if ray hit distant source */
282 RAY *r
283 )
284 {
285 int glowsrc = -1;
286 int transrc = -1;
287 int first, last;
288 int i;
289
290 if (r->rsrc >= 0) { /* check only one if aimed */
291 first = last = r->rsrc;
292 } else { /* otherwise check all */
293 first = 0; last = nsources-1;
294 }
295 for (i = first; i <= last; i++) {
296 if ((source[i].sflags & (SDISTANT|SVIRTUAL)) != SDISTANT)
297 continue;
298 /*
299 * Check to see if ray is within
300 * solid angle of source.
301 */
302 if (2.*PI*(1. - DOT(source[i].sloc,r->rdir)) > source[i].ss2)
303 continue;
304 /* is it the only possibility? */
305 if (first == last) {
306 r->ro = source[i].so;
307 break;
308 }
309 /*
310 * If it's a glow or transparent illum, just remember it.
311 */
312 if (source[i].sflags & SSKIP) {
313 if (glowsrc < 0)
314 glowsrc = i;
315 continue;
316 }
317 if (transillum(source[i].so->omod)) {
318 if (transrc < 0)
319 transrc = i;
320 continue;
321 }
322 r->ro = source[i].so; /* otherwise, use first hit */
323 break;
324 }
325 /*
326 * Do we need fallback?
327 */
328 if (r->ro == NULL) {
329 if (transrc >= 0 && r->crtype & (AMBIENT|SPECULAR))
330 return(0); /* avoid overcounting */
331 if (glowsrc >= 0)
332 r->ro = source[glowsrc].so;
333 else
334 return(0); /* nothing usable */
335 }
336 /*
337 * Make assignments.
338 */
339 r->robj = objndx(r->ro);
340 for (i = 0; i < 3; i++)
341 r->ron[i] = -r->rdir[i];
342 r->rod = 1.0;
343 r->pert[0] = r->pert[1] = r->pert[2] = 0.0;
344 r->uv[0] = r->uv[1] = 0.0;
345 r->rox = NULL;
346 return(1);
347 }
348
349
350 static int
351 cntcmp( /* contribution compare (descending) */
352 const void *p1,
353 const void *p2
354 )
355 {
356 const CNTPTR *sc1 = (const CNTPTR *)p1;
357 const CNTPTR *sc2 = (const CNTPTR *)p2;
358
359 if (sc1->brt > sc2->brt)
360 return(-1);
361 if (sc1->brt < sc2->brt)
362 return(1);
363 return(0);
364 }
365
366
367 void
368 direct( /* add direct component */
369 RAY *r, /* ray that hit surface */
370 srcdirf_t *f, /* direct component coefficient function */
371 void *p /* data for f */
372 )
373 {
374 int sn;
375 CONTRIB *scp;
376 SRCINDEX si;
377 int nshadcheck, ncnts;
378 int nhits;
379 double prob, ourthresh, hwt;
380 RAY sr;
381 /* NOTE: srccnt and cntord global so no recursion */
382 if (nsources <= 0)
383 return; /* no sources?! */
384 /* potential contributions */
385 initsrcindex(&si);
386 for (sn = 0; srcray(&sr, r, &si); sn++) {
387 if (sn >= maxcntr) {
388 maxcntr = sn + MAXSPART;
389 srccnt = (CONTRIB *)realloc((void *)srccnt,
390 maxcntr*sizeof(CONTRIB));
391 cntord = (CNTPTR *)realloc((void *)cntord,
392 maxcntr*sizeof(CNTPTR));
393 if ((srccnt == NULL) | (cntord == NULL))
394 error(SYSTEM, "out of memory in direct");
395 }
396 cntord[sn].sndx = sn;
397 scp = srccnt + sn;
398 scp->sno = sr.rsrc;
399 /* compute coefficient */
400 (*f)(scp->coef, p, sr.rdir, si.dom);
401 cntord[sn].brt = intens(scp->coef);
402 if (cntord[sn].brt <= 0.0)
403 continue;
404 #if SHADCACHE
405 /* check shadow cache */
406 if (si.np == 1 && srcblocked(&sr)) {
407 cntord[sn].brt = 0.0;
408 continue;
409 }
410 #endif
411 VCOPY(scp->dir, sr.rdir);
412 copycolor(sr.rcoef, scp->coef);
413 /* compute potential */
414 sr.revf = srcvalue;
415 rayvalue(&sr);
416 multcolor(sr.rcol, sr.rcoef);
417 copycolor(scp->val, sr.rcol);
418 cntord[sn].brt = bright(sr.rcol);
419 }
420 /* sort contributions */
421 qsort(cntord, sn, sizeof(CNTPTR), cntcmp);
422 { /* find last */
423 int l, m;
424
425 ncnts = l = sn;
426 sn = 0;
427 while ((m = (sn + ncnts) >> 1) != l) {
428 if (cntord[m].brt > 0.0)
429 sn = m;
430 else
431 ncnts = m;
432 l = m;
433 }
434 }
435 if (ncnts == 0)
436 return; /* no contributions! */
437 /* accumulate tail */
438 for (sn = ncnts-1; sn > 0; sn--)
439 cntord[sn-1].brt += cntord[sn].brt;
440 /* compute number to check */
441 nshadcheck = pow((double)ncnts, shadcert) + .5;
442 /* modify threshold */
443 ourthresh = shadthresh / r->rweight;
444 /* test for shadows */
445 for (nhits = 0, hwt = 0.0, sn = 0; sn < ncnts;
446 hwt += (double)source[scp->sno].nhits /
447 (double)source[scp->sno].ntests,
448 sn++) {
449 /* check threshold */
450 if ((sn+nshadcheck>=ncnts ? cntord[sn].brt :
451 cntord[sn].brt-cntord[sn+nshadcheck].brt)
452 < ourthresh*bright(r->rcol))
453 break;
454 scp = srccnt + cntord[sn].sndx;
455 /* test for hit */
456 rayorigin(&sr, SHADOW, r, NULL);
457 copycolor(sr.rcoef, scp->coef);
458 VCOPY(sr.rdir, scp->dir);
459 sr.rsrc = scp->sno;
460 /* keep statistics */
461 if (source[scp->sno].ntests++ > 0xfffffff0) {
462 source[scp->sno].ntests >>= 1;
463 source[scp->sno].nhits >>= 1;
464 }
465 if (localhit(&sr, &thescene) &&
466 ( sr.ro != source[scp->sno].so ||
467 source[scp->sno].sflags & SFOLLOW )) {
468 /* follow entire path */
469 raycont(&sr);
470 if (trace != NULL)
471 (*trace)(&sr); /* trace execution */
472 if (bright(sr.rcol) <= FTINY) {
473 #if SHADCACHE
474 if ((scp <= srccnt || scp[-1].sno != scp->sno)
475 && (scp >= srccnt+ncnts-1 ||
476 scp[1].sno != scp->sno))
477 srcblocker(&sr);
478 #endif
479 continue; /* missed! */
480 }
481 rayparticipate(&sr);
482 multcolor(sr.rcol, sr.rcoef);
483 copycolor(scp->val, sr.rcol);
484 } else if (trace != NULL &&
485 (source[scp->sno].sflags & (SDISTANT|SVIRTUAL|SFOLLOW))
486 == (SDISTANT|SFOLLOW) &&
487 sourcehit(&sr) && rayshade(&sr, sr.ro->omod)) {
488 (*trace)(&sr); /* trace execution */
489 /* skip call to rayparticipate() & scp->val update */
490 }
491 /* add contribution if hit */
492 addcolor(r->rcol, scp->val);
493 nhits++;
494 source[scp->sno].nhits++;
495 }
496 /* source hit rate */
497 if (hwt > FTINY)
498 hwt = (double)nhits / hwt;
499 else
500 hwt = 0.5;
501 #ifdef DEBUG
502 sprintf(errmsg, "%d tested, %d untested, %f conditional hit rate\n",
503 sn, ncnts-sn, hwt);
504 eputs(errmsg);
505 #endif
506 /* add in untested sources */
507 for ( ; sn < ncnts; sn++) {
508 scp = srccnt + cntord[sn].sndx;
509 prob = hwt * (double)source[scp->sno].nhits /
510 (double)source[scp->sno].ntests;
511 if (prob < 1.0)
512 scalecolor(scp->val, prob);
513 addcolor(r->rcol, scp->val);
514 }
515 }
516
517
518 void
519 srcscatter( /* compute source scattering into ray */
520 RAY *r
521 )
522 {
523 int oldsampndx;
524 int nsamps;
525 RAY sr;
526 SRCINDEX si;
527 double t, d;
528 double re, ge, be;
529 COLOR cvext;
530 int i, j;
531
532 if (r->slights == NULL || r->slights[0] == 0
533 || r->gecc >= 1.-FTINY || r->rot >= FHUGE)
534 return;
535 if (ssampdist <= FTINY || (nsamps = r->rot/ssampdist + .5) < 1)
536 nsamps = 1;
537 #if MAXSSAMP
538 else if (nsamps > MAXSSAMP)
539 nsamps = MAXSSAMP;
540 #endif
541 oldsampndx = samplendx;
542 samplendx = random()&0x7fff; /* randomize */
543 for (i = r->slights[0]; i > 0; i--) { /* for each source */
544 for (j = 0; j < nsamps; j++) { /* for each sample position */
545 samplendx++;
546 t = r->rot * (j+frandom())/nsamps;
547 /* extinction */
548 re = t*colval(r->cext,RED);
549 ge = t*colval(r->cext,GRN);
550 be = t*colval(r->cext,BLU);
551 setcolor(cvext, re > 92. ? 0. : exp(-re),
552 ge > 92. ? 0. : exp(-ge),
553 be > 92. ? 0. : exp(-be));
554 if (intens(cvext) <= FTINY)
555 break; /* too far away */
556 sr.rorg[0] = r->rorg[0] + r->rdir[0]*t;
557 sr.rorg[1] = r->rorg[1] + r->rdir[1]*t;
558 sr.rorg[2] = r->rorg[2] + r->rdir[2]*t;
559 initsrcindex(&si); /* sample ray to this source */
560 si.sn = r->slights[i];
561 nopart(&si, &sr);
562 if (!srcray(&sr, NULL, &si) ||
563 sr.rsrc != r->slights[i])
564 continue; /* no path */
565 #if SHADCACHE
566 if (srcblocked(&sr)) /* check shadow cache */
567 continue;
568 #endif
569 copycolor(sr.cext, r->cext);
570 copycolor(sr.albedo, r->albedo);
571 sr.gecc = r->gecc;
572 sr.slights = r->slights;
573 rayvalue(&sr); /* eval. source ray */
574 if (bright(sr.rcol) <= FTINY) {
575 #if SHADCACHE
576 srcblocker(&sr); /* add blocker to cache */
577 #endif
578 continue;
579 }
580 if (r->gecc <= FTINY) /* compute P(theta) */
581 d = 1.;
582 else {
583 d = DOT(r->rdir, sr.rdir);
584 d = 1. + r->gecc*r->gecc - 2.*r->gecc*d;
585 d = (1. - r->gecc*r->gecc) / (d*sqrt(d));
586 }
587 /* other factors */
588 d *= si.dom * r->rot / (4.*PI*nsamps);
589 multcolor(sr.rcol, r->cext);
590 multcolor(sr.rcol, r->albedo);
591 scalecolor(sr.rcol, d);
592 multcolor(sr.rcol, cvext);
593 addcolor(r->rcol, sr.rcol); /* add it in */
594 }
595 }
596 samplendx = oldsampndx;
597 }
598
599
600 /****************************************************************
601 * The following macros were separated from the m_light() routine
602 * because they are very nasty and difficult to understand.
603 */
604
605 /* illumblock *
606 *
607 * We cannot allow an illum to pass to another illum, because that
608 * would almost certainly constitute overcounting.
609 * However, we do allow an illum to pass to another illum
610 * that is actually going to relay to a virtual light source.
611 * We also prevent an illum from passing to a glow; this provides a
612 * convenient mechanism for defining detailed light source
613 * geometry behind (or inside) an effective radiator.
614 */
615
616 static int
617 weaksrcmat(OBJECT obj) /* identify material */
618 {
619 OBJREC *m = findmaterial(objptr(obj));
620
621 if (m == NULL) return(0);
622 return((m->otype==MAT_ILLUM) | (m->otype==MAT_GLOW));
623 }
624
625 #define illumblock(m, r) (!(source[r->rsrc].sflags&SVIRTUAL) && \
626 r->rod > 0.0 && \
627 weaksrcmat(source[r->rsrc].so->omod))
628
629 /* wrongsource *
630 *
631 * This source is the wrong source (ie. overcounted) if we are
632 * aimed to a different source than the one we hit and the one
633 * we hit is not an illum that should be passed.
634 */
635
636 #define wrongsource(m, r) (r->rsrc>=0 && source[r->rsrc].so!=r->ro && \
637 (m->otype!=MAT_ILLUM || illumblock(m,r)))
638
639 /* distglow *
640 *
641 * A distant glow is an object that sometimes acts as a light source,
642 * but is too far away from the test point to be one in this case.
643 * (Glows with negative radii should NEVER participate in illumination.)
644 */
645
646 #define distglow(m, r, d) (m->otype==MAT_GLOW && \
647 m->oargs.farg[3] >= -FTINY && \
648 d > m->oargs.farg[3])
649
650 /* badcomponent *
651 *
652 * We must avoid counting light sources in the ambient calculation,
653 * since the direct component is handled separately. Therefore, any
654 * ambient ray which hits an active light source must be discarded.
655 * The same is true for stray specular samples, since the specular
656 * contribution from light sources is calculated separately.
657 */
658
659 #define badcomponent(m, r) (r->crtype&(AMBIENT|SPECULAR) && \
660 !(r->crtype&SHADOW || r->rod < 0.0 || \
661 /* not 100% correct */ distglow(m, r, r->rot)))
662
663 /* passillum *
664 *
665 * An illum passes to another material type when we didn't hit it
666 * on purpose (as part of a direct calculation), or it is relaying
667 * a virtual light source.
668 */
669
670 #define passillum(m, r) (m->otype==MAT_ILLUM && \
671 (r->rsrc<0 || source[r->rsrc].so!=r->ro || \
672 source[r->rsrc].sflags&SVIRTUAL))
673
674 /* srcignore *
675 *
676 * The -dv flag is normally on for sources to be visible.
677 */
678
679 #define srcignore(m, r) !(directvis || r->crtype&SHADOW || \
680 distglow(m, r, raydist(r,PRIMARY)))
681
682
683 int
684 m_light( /* ray hit a light source */
685 OBJREC *m,
686 RAY *r
687 )
688 {
689 /* check for over-counting */
690 if (badcomponent(m, r)) {
691 setcolor(r->rcoef, 0.0, 0.0, 0.0);
692 return(1);
693 }
694 if (wrongsource(m, r)) {
695 setcolor(r->rcoef, 0.0, 0.0, 0.0);
696 return(1);
697 }
698 /* check for passed illum */
699 if (passillum(m, r)) {
700 if (m->oargs.nsargs && strcmp(m->oargs.sarg[0], VOIDID))
701 return(rayshade(r,lastmod(objndx(m),m->oargs.sarg[0])));
702 raytrans(r);
703 return(1);
704 }
705 /* check for invisibility */
706 if (srcignore(m, r)) {
707 setcolor(r->rcoef, 0.0, 0.0, 0.0);
708 return(1);
709 }
710 /* otherwise treat as source */
711 /* check for behind */
712 if (r->rod < 0.0)
713 return(1);
714 /* check for outside spot */
715 if (m->otype==MAT_SPOT && spotout(r, makespot(m)))
716 return(1);
717 /* get distribution pattern */
718 raytexture(r, m->omod);
719 /* get source color */
720 setcolor(r->rcol, m->oargs.farg[0],
721 m->oargs.farg[1],
722 m->oargs.farg[2]);
723 /* modify value */
724 multcolor(r->rcol, r->pcol);
725 return(1);
726 }