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root/radiance/ray/src/rt/normal.c
Revision: 2.87
Committed: Fri Dec 20 16:29:50 2024 UTC (4 months, 1 week ago) by greg
Content type: text/plain
Branch: MAIN
CVS Tags: HEAD
Changes since 2.86: +2 -2 lines
Log Message:
perf: Adjustment to source spread in lobe speculars that accounts for -dj

File Contents

# User Rev Content
1 greg 1.1 #ifndef lint
2 greg 2.87 static const char RCSid[] = "$Id: normal.c,v 2.86 2024/12/19 23:25:28 greg Exp $";
3 greg 1.1 #endif
4     /*
5     * normal.c - shading function for normal materials.
6     *
7     * 8/19/85
8     * 12/19/85 - added stuff for metals.
9     * 6/26/87 - improved specular model.
10     * 9/28/87 - added model for translucent materials.
11 greg 2.2 * Later changes described in delta comments.
12 greg 1.1 */
13    
14 greg 2.39 #include "copyright.h"
15 greg 2.38
16 greg 1.1 #include "ray.h"
17 greg 2.46 #include "ambient.h"
18 schorsch 2.47 #include "source.h"
19 greg 1.1 #include "otypes.h"
20 schorsch 2.47 #include "rtotypes.h"
21 greg 2.2 #include "random.h"
22 greg 2.69 #include "pmapmat.h"
23 greg 2.2
24 greg 2.34 #ifndef MAXITER
25     #define MAXITER 10 /* maximum # specular ray attempts */
26     #endif
27 greg 2.38 /* estimate of Fresnel function */
28 greg 2.82 #define FRESNE(ci) (exp(-5.85*(ci)) - 0.00202943064)
29 greg 2.51 #define FRESTHRESH 0.017999 /* minimum specularity for approx. */
30 greg 2.34
31 greg 2.24
32 greg 1.1 /*
33 greg 2.22 * This routine implements the isotropic Gaussian
34     * model described by Ward in Siggraph `92 article.
35 greg 1.1 * We orient the surface towards the incoming ray, so a single
36     * surface can be used to represent an infinitely thin object.
37     *
38     * Arguments for MAT_PLASTIC and MAT_METAL are:
39     * red grn blu specular-frac. facet-slope
40     *
41     * Arguments for MAT_TRANS are:
42     * red grn blu rspec rough trans tspec
43     */
44    
45 greg 2.2 /* specularity flags */
46     #define SP_REFL 01 /* has reflected specular component */
47     #define SP_TRAN 02 /* has transmitted specular */
48 greg 2.11 #define SP_PURE 04 /* purely specular (zero roughness) */
49     #define SP_FLAT 010 /* flat reflecting surface */
50     #define SP_RBLT 020 /* reflection below sample threshold */
51     #define SP_TBLT 040 /* transmission below threshold */
52 greg 1.1
53 greg 1.3 typedef struct {
54     OBJREC *mp; /* material pointer */
55 greg 2.16 RAY *rp; /* ray pointer */
56 greg 2.2 short specfl; /* specularity flags, defined above */
57 greg 2.83 SCOLOR mcolor; /* color of this material */
58     SCOLOR scolor; /* color of specular component */
59 greg 1.14 FVECT prdir; /* vector in transmitted direction */
60 greg 2.2 double alpha2; /* roughness squared */
61 greg 1.1 double rdiff, rspec; /* reflected specular, diffuse */
62     double trans; /* transmissivity */
63     double tdiff, tspec; /* transmitted specular, diffuse */
64     FVECT pnorm; /* perturbed surface normal */
65     double pdot; /* perturbed dot product */
66 greg 1.3 } NORMDAT; /* normal material data */
67    
68 greg 2.63 static void gaussamp(NORMDAT *np);
69 schorsch 2.47
70 greg 1.3
71 greg 2.38 static void
72 schorsch 2.47 dirnorm( /* compute source contribution */
73 greg 2.83 SCOLOR scval, /* returned coefficient */
74 greg 2.62 void *nnp, /* material data */
75 schorsch 2.47 FVECT ldir, /* light source direction */
76     double omega /* light source size */
77     )
78 greg 1.3 {
79 greg 2.62 NORMDAT *np = nnp;
80 greg 1.1 double ldot;
81 greg 2.49 double lrdiff, ltdiff;
82 greg 2.54 double dtmp, d2, d3, d4;
83 greg 2.16 FVECT vtmp;
84 greg 2.83 SCOLOR sctmp;
85 greg 1.3
86 greg 2.83 scolorblack(scval);
87 greg 1.3
88     ldot = DOT(np->pnorm, ldir);
89    
90     if (ldot < 0.0 ? np->trans <= FTINY : np->trans >= 1.0-FTINY)
91     return; /* wrong side */
92    
93 greg 2.38 /* Fresnel estimate */
94 greg 2.49 lrdiff = np->rdiff;
95     ltdiff = np->tdiff;
96 greg 2.51 if (np->specfl & SP_PURE && np->rspec >= FRESTHRESH &&
97 greg 2.49 (lrdiff > FTINY) | (ltdiff > FTINY)) {
98     dtmp = 1. - FRESNE(fabs(ldot));
99     lrdiff *= dtmp;
100     ltdiff *= dtmp;
101     }
102 greg 2.38
103 greg 2.83 if ((ldot > FTINY) & (lrdiff > FTINY)) {
104 greg 1.3 /*
105 greg 1.4 * Compute and add diffuse reflected component to returned
106     * color. The diffuse reflected component will always be
107     * modified by the color of the material.
108 greg 1.3 */
109 greg 2.83 copyscolor(sctmp, np->mcolor);
110 greg 2.49 dtmp = ldot * omega * lrdiff * (1.0/PI);
111 greg 2.83 scalescolor(sctmp, dtmp);
112     saddscolor(scval, sctmp);
113 greg 1.3 }
114 greg 2.72
115 greg 2.83 if ((ldot < -FTINY) & (ltdiff > FTINY)) {
116 greg 2.69 /*
117     * Compute diffuse transmission.
118     */
119 greg 2.83 copyscolor(sctmp, np->mcolor);
120 greg 2.69 dtmp = -ldot * omega * ltdiff * (1.0/PI);
121 greg 2.83 scalescolor(sctmp, dtmp);
122     saddscolor(scval, sctmp);
123 greg 2.69 }
124 greg 2.72
125     if (ambRayInPmap(np->rp))
126     return; /* specular already in photon map */
127    
128 greg 2.83 if ((ldot > FTINY) & ((np->specfl&(SP_REFL|SP_PURE)) == SP_REFL)) {
129 greg 1.3 /*
130     * Compute specular reflection coefficient using
131 greg 2.54 * Gaussian distribution model.
132 greg 1.3 */
133 greg 2.3 /* roughness */
134 greg 2.16 dtmp = np->alpha2;
135 greg 2.3 /* + source if flat */
136     if (np->specfl & SP_FLAT)
137 greg 2.87 dtmp += (1. - dstrsrc) * omega * (0.25/PI);
138 greg 2.23 /* half vector */
139 greg 2.62 VSUB(vtmp, ldir, np->rp->rdir);
140 greg 2.16 d2 = DOT(vtmp, np->pnorm);
141 greg 2.23 d2 *= d2;
142 greg 2.54 d3 = DOT(vtmp,vtmp);
143     d4 = (d3 - d2) / d2;
144     /* new W-G-M-D model */
145     dtmp = exp(-d4/dtmp) * d3 / (PI * d2*d2 * dtmp);
146 greg 1.3 /* worth using? */
147     if (dtmp > FTINY) {
148 greg 2.83 copyscolor(sctmp, np->scolor);
149 greg 2.54 dtmp *= ldot * omega;
150 greg 2.83 scalescolor(sctmp, dtmp);
151     saddscolor(scval, sctmp);
152 greg 1.3 }
153     }
154 greg 2.69
155    
156 greg 2.83 if ((ldot < -FTINY) & ((np->specfl&(SP_TRAN|SP_PURE)) == SP_TRAN)) {
157 greg 1.3 /*
158 greg 1.4 * Compute specular transmission. Specular transmission
159 greg 1.13 * is always modified by material color.
160 greg 1.3 */
161     /* roughness + source */
162 greg 2.48 dtmp = np->alpha2 + omega*(1.0/PI);
163 greg 2.54 /* Gaussian */
164 greg 2.53 dtmp = exp((2.*DOT(np->prdir,ldir)-2.)/dtmp)/(PI*dtmp);
165 greg 1.3 /* worth using? */
166     if (dtmp > FTINY) {
167 greg 2.83 copyscolor(sctmp, np->mcolor);
168 greg 2.52 dtmp *= np->tspec * omega * sqrt(-ldot/np->pdot);
169 greg 2.83 scalescolor(sctmp, dtmp);
170     saddscolor(scval, sctmp);
171 greg 1.3 }
172     }
173     }
174    
175    
176 greg 2.62 int
177 schorsch 2.47 m_normal( /* color a ray that hit something normal */
178 greg 2.62 OBJREC *m,
179     RAY *r
180 schorsch 2.47 )
181 greg 1.3 {
182     NORMDAT nd;
183 greg 2.38 double fest;
184 greg 2.29 int hastexture;
185     double d;
186 greg 2.83 SCOLOR sctmp;
187 greg 2.62 int i;
188 greg 2.69
189     /* PMAP: skip transmitted shadow ray if accounted for in photon map */
190 rschregle 2.74 /* No longer needed?
191 greg 2.73 if (shadowRayInPmap(r) || ambRayInPmap(r))
192 rschregle 2.74 return(1); */
193    
194 greg 1.1 /* easy shadow test */
195     if (r->crtype & SHADOW && m->otype != MAT_TRANS)
196 greg 2.27 return(1);
197 greg 2.2
198     if (m->oargs.nfargs != (m->otype == MAT_TRANS ? 7 : 5))
199     objerror(m, USER, "bad number of arguments");
200 greg 2.29 /* check for back side */
201     if (r->rod < 0.0) {
202 greg 2.66 if (!backvis) {
203 greg 2.29 raytrans(r);
204     return(1);
205     }
206 greg 2.40 raytexture(r, m->omod);
207 greg 2.29 flipsurface(r); /* reorient if backvis */
208 greg 2.40 } else
209     raytexture(r, m->omod);
210 greg 1.3 nd.mp = m;
211 greg 2.16 nd.rp = r;
212 greg 1.1 /* get material color */
213 greg 2.83 setscolor(nd.mcolor, m->oargs.farg[0],
214 greg 1.1 m->oargs.farg[1],
215     m->oargs.farg[2]);
216     /* get roughness */
217 greg 2.2 nd.specfl = 0;
218 greg 1.3 nd.alpha2 = m->oargs.farg[4];
219 greg 2.2 if ((nd.alpha2 *= nd.alpha2) <= FTINY)
220     nd.specfl |= SP_PURE;
221 greg 2.40
222 schorsch 2.45 if ( (hastexture = (DOT(r->pert,r->pert) > FTINY*FTINY)) ) {
223 greg 2.29 nd.pdot = raynormal(nd.pnorm, r); /* perturb normal */
224 greg 2.41 } else {
225 greg 2.29 VCOPY(nd.pnorm, r->ron);
226     nd.pdot = r->rod;
227     }
228 greg 2.86 if (!hastexture && r->ro != NULL && isflat(r->ro->otype))
229 greg 2.42 nd.specfl |= SP_FLAT;
230 greg 1.13 if (nd.pdot < .001)
231     nd.pdot = .001; /* non-zero for dirnorm() */
232 greg 2.83 smultscolor(nd.mcolor, r->pcol); /* modify material color */
233 greg 2.30 nd.rspec = m->oargs.farg[3];
234 greg 2.38 /* compute Fresnel approx. */
235 greg 2.51 if (nd.specfl & SP_PURE && nd.rspec >= FRESTHRESH) {
236 greg 2.62 fest = FRESNE(nd.pdot);
237 greg 2.38 nd.rspec += fest*(1. - nd.rspec);
238     } else
239     fest = 0.;
240 greg 1.3 /* compute transmission */
241 greg 1.1 if (m->otype == MAT_TRANS) {
242 greg 1.3 nd.trans = m->oargs.farg[5]*(1.0 - nd.rspec);
243     nd.tspec = nd.trans * m->oargs.farg[6];
244     nd.tdiff = nd.trans - nd.tspec;
245 greg 2.2 if (nd.tspec > FTINY) {
246     nd.specfl |= SP_TRAN;
247 greg 2.5 /* check threshold */
248 greg 2.25 if (!(nd.specfl & SP_PURE) &&
249     specthresh >= nd.tspec-FTINY)
250 greg 2.5 nd.specfl |= SP_TBLT;
251 greg 2.67 if (!hastexture || r->crtype & (SHADOW|AMBIENT)) {
252 greg 2.2 VCOPY(nd.prdir, r->rdir);
253     } else {
254 greg 2.76 /* perturb */
255     VSUB(nd.prdir, r->rdir, r->pert);
256 greg 2.7 if (DOT(nd.prdir, r->ron) < -FTINY)
257     normalize(nd.prdir); /* OK */
258     else
259     VCOPY(nd.prdir, r->rdir);
260 greg 2.2 }
261 greg 1.14 }
262 greg 1.1 } else
263 greg 1.3 nd.tdiff = nd.tspec = nd.trans = 0.0;
264 greg 2.79 /* diffuse reflection */
265     nd.rdiff = 1.0 - nd.trans - nd.rspec;
266 greg 1.1 /* transmitted ray */
267 greg 2.71 if ((nd.specfl&(SP_TRAN|SP_PURE|SP_TBLT)) == (SP_TRAN|SP_PURE)) {
268 greg 1.3 RAY lr;
269 greg 2.83 copyscolor(lr.rcoef, nd.mcolor); /* modified by color */
270     scalescolor(lr.rcoef, nd.tspec);
271 greg 2.50 if (rayorigin(&lr, TRANS, r, lr.rcoef) == 0) {
272 greg 1.14 VCOPY(lr.rdir, nd.prdir);
273 greg 1.1 rayvalue(&lr);
274 greg 2.83 smultscolor(lr.rcol, lr.rcoef);
275     saddscolor(r->rcol, lr.rcol);
276 greg 2.78 if (nd.tspec >= 1.0-FTINY) {
277     /* completely transparent */
278 greg 2.83 smultscolor(lr.mcol, lr.rcoef);
279     copyscolor(r->mcol, lr.mcol);
280 greg 2.78 r->rmt = r->rot + lr.rmt;
281     r->rxt = r->rot + lr.rxt;
282 greg 2.79 } else if (nd.tspec > nd.tdiff + nd.rdiff)
283 greg 2.78 r->rxt = r->rot + raydistance(&lr);
284 greg 1.1 }
285 greg 2.77 }
286 greg 2.2
287 greg 2.77 if (r->crtype & SHADOW) /* the rest is shadow */
288 greg 2.27 return(1);
289 greg 2.30 /* get specular reflection */
290     if (nd.rspec > FTINY) {
291     nd.specfl |= SP_REFL;
292     /* compute specular color */
293 greg 2.38 if (m->otype != MAT_METAL) {
294 greg 2.83 setscolor(nd.scolor, nd.rspec, nd.rspec, nd.rspec);
295 greg 2.38 } else if (fest > FTINY) {
296 greg 2.64 d = m->oargs.farg[3]*(1. - fest);
297 greg 2.83 for (i = NCSAMP; i--; )
298     nd.scolor[i] = fest + nd.mcolor[i]*d;
299 greg 2.38 } else {
300 greg 2.83 copyscolor(nd.scolor, nd.mcolor);
301     scalescolor(nd.scolor, nd.rspec);
302 greg 2.38 }
303 greg 2.30 /* check threshold */
304     if (!(nd.specfl & SP_PURE) && specthresh >= nd.rspec-FTINY)
305     nd.specfl |= SP_RBLT;
306 gregl 2.36 }
307     /* reflected ray */
308 greg 2.71 if ((nd.specfl&(SP_REFL|SP_PURE|SP_RBLT)) == (SP_REFL|SP_PURE)) {
309 gregl 2.36 RAY lr;
310 greg 2.50 if (rayorigin(&lr, REFLECTED, r, nd.scolor) == 0) {
311 greg 2.85 /* compute reflected ray */
312     VSUM(lr.rdir, r->rdir, nd.pnorm, 2.*nd.pdot);
313     /* penetration? */
314     if (hastexture && DOT(lr.rdir, r->ron) <= FTINY)
315     VSUM(lr.rdir, r->rdir, r->ron, 2.*r->rod);
316     checknorm(lr.rdir);
317 gregl 2.36 rayvalue(&lr);
318 greg 2.83 smultscolor(lr.rcol, lr.rcoef);
319     copyscolor(r->mcol, lr.rcol);
320     saddscolor(r->rcol, lr.rcol);
321 greg 2.80 r->rmt = r->rot;
322 greg 2.86 if (nd.specfl & SP_FLAT && r->crtype & AMBIENT)
323 greg 2.80 r->rmt += raydistance(&lr);
324 greg 2.30 }
325 greg 2.29 }
326 greg 1.1
327 greg 2.77 if (nd.specfl & SP_PURE && nd.rdiff <= FTINY && nd.tdiff <= FTINY)
328 greg 2.27 return(1); /* 100% pure specular */
329 greg 2.77
330 greg 2.71 if (!(nd.specfl & SP_PURE))
331     gaussamp(&nd); /* checks *BLT flags */
332 greg 2.2
333 greg 1.3 if (nd.rdiff > FTINY) { /* ambient from this side */
334 greg 2.83 copyscolor(sctmp, nd.mcolor); /* modified by material color */
335     scalescolor(sctmp, nd.rdiff);
336 greg 2.61 if (nd.specfl & SP_RBLT) /* add in specular as well? */
337 greg 2.83 saddscolor(sctmp, nd.scolor);
338 greg 2.84 multambient(sctmp, r, nd.pnorm);
339 greg 2.83 saddscolor(r->rcol, sctmp); /* add to returned color */
340 greg 1.2 }
341 greg 1.3 if (nd.tdiff > FTINY) { /* ambient from other side */
342 greg 2.84 FVECT bnorm;
343 greg 2.83 copyscolor(sctmp, nd.mcolor); /* modified by color */
344     if (nd.specfl & SP_TBLT) {
345     scalescolor(sctmp, nd.trans);
346     } else {
347     scalescolor(sctmp, nd.tdiff);
348     }
349 greg 2.84 bnorm[0] = -nd.pnorm[0];
350     bnorm[1] = -nd.pnorm[1];
351     bnorm[2] = -nd.pnorm[2];
352     multambient(sctmp, r, bnorm);
353 greg 2.83 saddscolor(r->rcol, sctmp);
354 greg 1.1 }
355 greg 1.3 /* add direct component */
356     direct(r, dirnorm, &nd);
357 greg 2.27
358     return(1);
359 greg 2.2 }
360    
361    
362 greg 2.38 static void
363 greg 2.54 gaussamp( /* sample Gaussian specular */
364 greg 2.62 NORMDAT *np
365 schorsch 2.47 )
366 greg 2.2 {
367     RAY sr;
368     FVECT u, v, h;
369     double rv[2];
370     double d, sinp, cosp;
371 greg 2.83 SCOLOR scol;
372 greg 2.58 int maxiter, ntrials, nstarget, nstaken;
373 greg 2.62 int i;
374 greg 2.13 /* quick test */
375     if ((np->specfl & (SP_REFL|SP_RBLT)) != SP_REFL &&
376     (np->specfl & (SP_TRAN|SP_TBLT)) != SP_TRAN)
377     return;
378 greg 2.2 /* set up sample coordinates */
379 greg 2.70 getperpendicular(u, np->pnorm, rand_samp);
380 greg 2.2 fcross(v, np->pnorm, u);
381     /* compute reflection */
382 greg 2.5 if ((np->specfl & (SP_REFL|SP_RBLT)) == SP_REFL &&
383 greg 2.84 rayorigin(&sr, RSPECULAR, np->rp, np->scolor) == 0) {
384 greg 2.58 nstarget = 1;
385 greg 2.55 if (specjitter > 1.5) { /* multiple samples? */
386 greg 2.63 nstarget = specjitter*np->rp->rweight + .5;
387 greg 2.58 if (sr.rweight <= minweight*nstarget)
388     nstarget = sr.rweight/minweight;
389     if (nstarget > 1) {
390     d = 1./nstarget;
391 greg 2.83 scalescolor(sr.rcoef, d);
392 greg 2.56 sr.rweight *= d;
393 greg 2.55 } else
394 greg 2.58 nstarget = 1;
395 greg 2.55 }
396 greg 2.83 scolorblack(scol);
397 greg 2.60 dimlist[ndims++] = (int)(size_t)np->mp;
398 greg 2.58 maxiter = MAXITER*nstarget;
399     for (nstaken = ntrials = 0; nstaken < nstarget &&
400     ntrials < maxiter; ntrials++) {
401     if (ntrials)
402 greg 2.34 d = frandom();
403     else
404     d = urand(ilhash(dimlist,ndims)+samplendx);
405     multisamp(rv, 2, d);
406     d = 2.0*PI * rv[0];
407 gwlarson 2.37 cosp = tcos(d);
408     sinp = tsin(d);
409 greg 2.55 if ((0. <= specjitter) & (specjitter < 1.))
410     rv[1] = 1.0 - specjitter*rv[1];
411 greg 2.34 if (rv[1] <= FTINY)
412     d = 1.0;
413     else
414     d = sqrt( np->alpha2 * -log(rv[1]) );
415     for (i = 0; i < 3; i++)
416     h[i] = np->pnorm[i] + d*(cosp*u[i] + sinp*v[i]);
417 greg 2.63 d = -2.0 * DOT(h, np->rp->rdir) / (1.0 + d*d);
418     VSUM(sr.rdir, np->rp->rdir, h, d);
419 greg 2.58 /* sample rejection test */
420 greg 2.63 if ((d = DOT(sr.rdir, np->rp->ron)) <= FTINY)
421 greg 2.55 continue;
422     checknorm(sr.rdir);
423 greg 2.58 if (nstarget > 1) { /* W-G-M-D adjustment */
424 greg 2.59 if (nstaken) rayclear(&sr);
425 greg 2.58 rayvalue(&sr);
426 greg 2.63 d = 2./(1. + np->rp->rod/d);
427 greg 2.83 scalescolor(sr.rcol, d);
428     saddscolor(scol, sr.rcol);
429 greg 2.58 } else {
430     rayvalue(&sr);
431 greg 2.83 smultscolor(sr.rcol, sr.rcoef);
432     saddscolor(np->rp->rcol, sr.rcol);
433 greg 2.34 }
434 greg 2.58 ++nstaken;
435     }
436     if (nstarget > 1) { /* final W-G-M-D weighting */
437 greg 2.83 smultscolor(scol, sr.rcoef);
438 greg 2.58 d = (double)nstarget/ntrials;
439 greg 2.83 scalescolor(scol, d);
440     saddscolor(np->rp->rcol, scol);
441 greg 2.34 }
442 greg 2.2 ndims--;
443     }
444     /* compute transmission */
445 greg 2.83 copyscolor(sr.rcoef, np->mcolor); /* modified by color */
446     scalescolor(sr.rcoef, np->tspec);
447 greg 2.8 if ((np->specfl & (SP_TRAN|SP_TBLT)) == SP_TRAN &&
448 greg 2.84 rayorigin(&sr, TSPECULAR, np->rp, sr.rcoef) == 0) {
449 greg 2.58 nstarget = 1;
450 greg 2.55 if (specjitter > 1.5) { /* multiple samples? */
451 greg 2.63 nstarget = specjitter*np->rp->rweight + .5;
452 greg 2.58 if (sr.rweight <= minweight*nstarget)
453     nstarget = sr.rweight/minweight;
454     if (nstarget > 1) {
455     d = 1./nstarget;
456 greg 2.83 scalescolor(sr.rcoef, d);
457 greg 2.56 sr.rweight *= d;
458 greg 2.55 } else
459 greg 2.58 nstarget = 1;
460 greg 2.55 }
461 greg 2.60 dimlist[ndims++] = (int)(size_t)np->mp;
462 greg 2.58 maxiter = MAXITER*nstarget;
463     for (nstaken = ntrials = 0; nstaken < nstarget &&
464     ntrials < maxiter; ntrials++) {
465     if (ntrials)
466 greg 2.34 d = frandom();
467     else
468 greg 2.58 d = urand(ilhash(dimlist,ndims)+samplendx);
469 greg 2.34 multisamp(rv, 2, d);
470     d = 2.0*PI * rv[0];
471 gwlarson 2.37 cosp = tcos(d);
472     sinp = tsin(d);
473 greg 2.55 if ((0. <= specjitter) & (specjitter < 1.))
474     rv[1] = 1.0 - specjitter*rv[1];
475 greg 2.34 if (rv[1] <= FTINY)
476     d = 1.0;
477     else
478 gwlarson 2.37 d = sqrt( np->alpha2 * -log(rv[1]) );
479 greg 2.34 for (i = 0; i < 3; i++)
480     sr.rdir[i] = np->prdir[i] + d*(cosp*u[i] + sinp*v[i]);
481 greg 2.58 /* sample rejection test */
482 greg 2.63 if (DOT(sr.rdir, np->rp->ron) >= -FTINY)
483 greg 2.55 continue;
484     normalize(sr.rdir); /* OK, normalize */
485 greg 2.59 if (nstaken) /* multi-sampling */
486 greg 2.55 rayclear(&sr);
487     rayvalue(&sr);
488 greg 2.83 smultscolor(sr.rcol, sr.rcoef);
489     saddscolor(np->rp->rcol, sr.rcol);
490 greg 2.58 ++nstaken;
491 greg 2.34 }
492 greg 2.8 ndims--;
493     }
494 greg 1.1 }