src/rt/aniso.c

#ifndef lint
static const char RCSid[] = "$Id: aniso.c,v 2.62 2023/11/15 18:02:52 greg Exp $";
#endif
/*
 *  Shading functions for anisotropic materials.
 */

#include "copyright.h"

#include  "ray.h"
#include  "ambient.h"
#include  "otypes.h"
#include  "rtotypes.h"
#include  "source.h"
#include  "func.h"
#include  "random.h"
#include  "pmapmat.h"

#ifndef  MAXITER
#define  MAXITER        10              /* maximum # specular ray attempts */
#endif

/*
 *      This routine implements the anisotropic Gaussian
 *  model described by Ward in Siggraph `92 article, updated with
 *  normalization and sampling adjustments due to Geisler-Moroder and Duer.
 *      We orient the surface towards the incoming ray, so a single
 *  surface can be used to represent an infinitely thin object.
 *
 *  Arguments for MAT_PLASTIC2 and MAT_METAL2 are:
 *  4+ ux       uy      uz      funcfile        [transform...]
 *  0
 *  6  red      grn     blu     specular-frac.  u-rough v-rough
 *
 *  Real arguments for MAT_TRANS2 are:
 *  8  red      grn     blu     rspec   u-rough v-rough trans   tspec
 */

                                /* specularity flags */
#define  SP_REFL        01              /* has reflected specular component */
#define  SP_TRAN        02              /* has transmitted specular */
#define  SP_FLAT        04              /* reflecting surface is flat */
#define  SP_RBLT        010             /* reflection below sample threshold */
#define  SP_TBLT        020             /* transmission below threshold */

typedef struct {
        OBJREC  *mp;            /* material pointer */
        RAY  *rp;               /* ray pointer */
        short  specfl;          /* specularity flags, defined above */
        SCOLOR  mcolor;         /* color of this material */
        SCOLOR  scolor;         /* color of specular component */
        FVECT  vrefl;           /* vector in reflected direction */
        FVECT  prdir;           /* vector in transmitted direction */
        FVECT  u, v;            /* u and v vectors orienting anisotropy */
        double  u_alpha;        /* u roughness */
        double  v_alpha;        /* v roughness */
        double  rdiff, rspec;   /* reflected specular, diffuse */
        double  trans;          /* transmissivity */
        double  tdiff, tspec;   /* transmitted specular, diffuse */
        FVECT  pnorm;           /* perturbed surface normal */
        double  pdot;           /* perturbed dot product */
}  ANISODAT;            /* anisotropic material data */

static void getacoords(ANISODAT  *np);
static void agaussamp(ANISODAT  *np);


static void
diraniso(               /* compute source contribution */
        SCOLOR  scval,                  /* returned coefficient */
        void  *nnp,                     /* material data */
        FVECT  ldir,                    /* light source direction */
        double  omega                   /* light source size */
)
{
        ANISODAT *np = nnp;
        double  ldot;
        double  dtmp, dtmp1, dtmp2;
        FVECT  h;
        double  au2, av2;
        SCOLOR  sctmp;

        scolorblack(scval);

        ldot = DOT(np->pnorm, ldir);

        if (ldot < 0.0 ? np->trans <= FTINY : np->trans >= 1.0-FTINY)
                return;         /* wrong side */

        if ((ldot > FTINY) & (np->rdiff > FTINY)) {
                /*
                 *  Compute and add diffuse reflected component to returned
                 *  color.  The diffuse reflected component will always be
                 *  modified by the color of the material.
                 */
                copyscolor(sctmp, np->mcolor);
                dtmp = ldot * omega * np->rdiff * (1.0/PI);
                scalescolor(sctmp, dtmp);
                saddscolor(scval, sctmp);
        }

        if ((ldot < -FTINY) & (np->tdiff > FTINY)) {
                /*
                 *  Compute diffuse transmission.
                 */
                copyscolor(sctmp, np->mcolor);
                dtmp = -ldot * omega * np->tdiff * (1.0/PI);
                scalescolor(sctmp, dtmp);
                saddscolor(scval, sctmp);
        }
        
        if (ambRayInPmap(np->rp))
                return;         /* specular accounted for in photon map */

        if (ldot > FTINY && np->specfl&SP_REFL) {
                /*
                 *  Compute specular reflection coefficient using
                 *  anisotropic Gaussian distribution model.
                 */
                                                /* add source width if flat */
                if (np->specfl & SP_FLAT)
                        au2 = av2 = omega * (0.25/PI);
                else
                        au2 = av2 = 0.0;
                au2 += np->u_alpha*np->u_alpha;
                av2 += np->v_alpha*np->v_alpha;
                                                /* half vector */
                VSUB(h, ldir, np->rp->rdir);
                                                /* ellipse */
                dtmp1 = DOT(np->u, h);
                dtmp1 *= dtmp1 / au2;
                dtmp2 = DOT(np->v, h);
                dtmp2 *= dtmp2 / av2;
                                                /* new W-G-M-D model */
                dtmp = DOT(np->pnorm, h);
                dtmp *= dtmp;
                dtmp1 = (dtmp1 + dtmp2) / dtmp;
                dtmp = exp(-dtmp1) * DOT(h,h) /
                                (PI * dtmp*dtmp * sqrt(au2*av2));
                                                /* worth using? */
                if (dtmp > FTINY) {
                        copyscolor(sctmp, np->scolor);
                        dtmp *= ldot * omega;
                        scalescolor(sctmp, dtmp);
                        saddscolor(scval, sctmp);
                }
        }
        
        if (ldot < -FTINY && np->specfl&SP_TRAN) {
                /*
                 *  Compute specular transmission.  Specular transmission
                 *  is always modified by material color.
                 */
                                                /* roughness + source */
                au2 = av2 = omega * (1.0/PI);
                au2 += np->u_alpha*np->u_alpha;
                av2 += np->v_alpha*np->v_alpha;
                                                /* "half vector" */
                VSUB(h, ldir, np->prdir);
                dtmp = DOT(h,h);
                if (dtmp > FTINY*FTINY) {
                        dtmp1 = DOT(h,np->pnorm);
                        dtmp = 1.0 - dtmp1*dtmp1/dtmp;
                        if (dtmp > FTINY*FTINY) {
                                dtmp1 = DOT(h,np->u);
                                dtmp1 *= dtmp1 / au2;
                                dtmp2 = DOT(h,np->v);
                                dtmp2 *= dtmp2 / av2;
                                dtmp = (dtmp1 + dtmp2) / dtmp;
                        }
                } else
                        dtmp = 0.0;
                                                /* Gaussian */
                dtmp = exp(-dtmp) * (1.0/PI) * sqrt(-ldot/(np->pdot*au2*av2));
                                                /* worth using? */
                if (dtmp > FTINY) {
                        copyscolor(sctmp, np->mcolor);
                        dtmp *= np->tspec * omega;
                        scalescolor(sctmp, dtmp);
                        saddscolor(scval, sctmp);
                }
        }
}


int
m_aniso(                        /* shade ray that hit something anisotropic */
        OBJREC  *m,
        RAY  *r
)
{
        ANISODAT  nd;
        SCOLOR  sctmp;
        int  i;
                                                /* easy shadow test */
        if (r->crtype & SHADOW)
                return(1);

        if (m->oargs.nfargs != (m->otype == MAT_TRANS2 ? 8 : 6))
                objerror(m, USER, "bad number of real arguments");
                                                /* check for back side */
        if (r->rod < 0.0) {
                if (!backvis) {
                        raytrans(r);
                        return(1);
                }
                raytexture(r, m->omod);
                flipsurface(r);                 /* reorient if backvis */
        } else
                raytexture(r, m->omod);
                                                /* get material color */
        nd.mp = m;
        nd.rp = r;
        setscolor(nd.mcolor, m->oargs.farg[0],
                           m->oargs.farg[1],
                           m->oargs.farg[2]);
                                                /* get roughness */
        nd.specfl = 0;
        nd.u_alpha = m->oargs.farg[4];
        nd.v_alpha = m->oargs.farg[5];
        if ((nd.u_alpha <= FTINY) | (nd.v_alpha <= FTINY))
                objerror(m, USER, "roughness too small");

        nd.pdot = raynormal(nd.pnorm, r);       /* perturb normal */
        if (nd.pdot < .001)
                nd.pdot = .001;                 /* non-zero for diraniso() */
        smultscolor(nd.mcolor, r->pcol);        /* modify material color */
                                                /* get specular component */
        if ((nd.rspec = m->oargs.farg[3]) > FTINY) {
                nd.specfl |= SP_REFL;
                                                /* compute specular color */
                if (m->otype == MAT_METAL2)
                        copyscolor(nd.scolor, nd.mcolor);
                else
                        setscolor(nd.scolor, 1.0, 1.0, 1.0);
                scalescolor(nd.scolor, nd.rspec);
                                                /* check threshold */
                if (specthresh >= nd.rspec-FTINY)
                        nd.specfl |= SP_RBLT;
                                                /* compute refl. direction */
                VSUM(nd.vrefl, r->rdir, nd.pnorm, 2.0*nd.pdot);
                if (DOT(nd.vrefl, r->ron) <= FTINY)     /* penetration? */
                        VSUM(nd.vrefl, r->rdir, r->ron, 2.0*r->rod);
        }
                                                /* compute transmission */
        if (m->otype == MAT_TRANS2) {
                nd.trans = m->oargs.farg[6]*(1.0 - nd.rspec);
                nd.tspec = nd.trans * m->oargs.farg[7];
                nd.tdiff = nd.trans - nd.tspec;
                if (nd.tspec > FTINY) {
                        nd.specfl |= SP_TRAN;
                                                        /* check threshold */
                        if (specthresh >= nd.tspec-FTINY)
                                nd.specfl |= SP_TBLT;
                        if (DOT(r->pert,r->pert) <= FTINY*FTINY) {
                                VCOPY(nd.prdir, r->rdir);
                        } else {
                                for (i = 0; i < 3; i++)         /* perturb */
                                        nd.prdir[i] = r->rdir[i] - r->pert[i];
                                if (DOT(nd.prdir, r->ron) < -FTINY)
                                        normalize(nd.prdir);    /* OK */
                                else
                                        VCOPY(nd.prdir, r->rdir);
                        }
                }
        } else
                nd.tdiff = nd.tspec = nd.trans = 0.0;

                                                /* diffuse reflection */
        nd.rdiff = 1.0 - nd.trans - nd.rspec;

        if (r->ro != NULL && isflat(r->ro->otype))
                nd.specfl |= SP_FLAT;

        getacoords(&nd);                        /* set up coordinates */

        if (nd.specfl & (SP_REFL|SP_TRAN))
                agaussamp(&nd);

        if (nd.rdiff > FTINY) {         /* ambient from this side */
                copyscolor(sctmp, nd.mcolor);   /* modified by material color */
                scalescolor(sctmp, nd.rdiff);
                if (nd.specfl & SP_RBLT)        /* add in specular as well? */
                        saddscolor(sctmp, nd.scolor);
                multambient(sctmp, r, nd.pnorm);
                saddscolor(r->rcol, sctmp);     /* add to returned color */
        }
        
        if (nd.tdiff > FTINY) {         /* ambient from other side */
                FVECT  bnorm;

                flipsurface(r);
                bnorm[0] = -nd.pnorm[0];
                bnorm[1] = -nd.pnorm[1];
                bnorm[2] = -nd.pnorm[2];
                copyscolor(sctmp, nd.mcolor);   /* modified by color */
                if (nd.specfl & SP_TBLT) {
                        scalescolor(sctmp, nd.trans);
                } else {
                        scalescolor(sctmp, nd.tdiff);
                }
                multambient(sctmp, r, bnorm);
                saddscolor(r->rcol, sctmp);
                flipsurface(r);
        }
                                        /* add direct component */
        direct(r, diraniso, &nd);

        return(1);
}

static void
getacoords(             /* set up coordinate system */
        ANISODAT  *np
)
{
        MFUNC  *mf;
        int  i;

        mf = getfunc(np->mp, 3, 0x7, 1);
        setfunc(np->mp, np->rp);
        errno = 0;
        for (i = 0; i < 3; i++)
                np->u[i] = evalue(mf->ep[i]);
        if ((errno == EDOM) | (errno == ERANGE))
                np->u[0] = np->u[1] = np->u[2] = 0.0;
        if (mf->fxp != &unitxf)
                multv3(np->u, np->u, mf->fxp->xfm);
        fcross(np->v, np->pnorm, np->u);
        if (normalize(np->v) == 0.0) {
                if (fabs(np->u_alpha - np->v_alpha) > 0.001)
                        objerror(np->mp, WARNING, "illegal orientation vector");
                getperpendicular(np->u, np->pnorm, 1);  /* punting */
                fcross(np->v, np->pnorm, np->u);
                np->u_alpha = np->v_alpha = sqrt( 0.5 *
                        (np->u_alpha*np->u_alpha + np->v_alpha*np->v_alpha) );
        } else
                fcross(np->u, np->v, np->pnorm);
}


static void
agaussamp(              /* sample anisotropic Gaussian specular */
        ANISODAT  *np
)
{
        RAY  sr;
        FVECT  h;
        double  rv[2];
        double  d, sinp, cosp;
        SCOLOR  scol;
        int  maxiter, ntrials, nstarget, nstaken;
        int  i;
                                        /* compute reflection */
        if ((np->specfl & (SP_REFL|SP_RBLT)) == SP_REFL &&
                        rayorigin(&sr, SPECULAR, np->rp, np->scolor) == 0) {
                nstarget = 1;
                if (specjitter > 1.5) { /* multiple samples? */
                        nstarget = specjitter*np->rp->rweight + .5;
                        if (sr.rweight <= minweight*nstarget)
                                nstarget = sr.rweight/minweight;
                        if (nstarget > 1) {
                                d = 1./nstarget;
                                scalescolor(sr.rcoef, d);
                                sr.rweight *= d;
                        } else
                                nstarget = 1;
                }
                scolorblack(scol);
                dimlist[ndims++] = (int)(size_t)np->mp;
                maxiter = MAXITER*nstarget;
                for (nstaken = ntrials = 0; nstaken < nstarget &&
                                                ntrials < maxiter; ntrials++) {
                        if (ntrials)
                                d = frandom();
                        else
                                d = urand(ilhash(dimlist,ndims)+samplendx);
                        multisamp(rv, 2, d);
                        d = 2.0*PI * rv[0];
                        cosp = tcos(d) * np->u_alpha;
                        sinp = tsin(d) * np->v_alpha;
                        d = 1./sqrt(cosp*cosp + sinp*sinp);
                        cosp *= d;
                        sinp *= d;
                        if ((0. <= specjitter) & (specjitter < 1.))
                                rv[1] = 1.0 - specjitter*rv[1];
                        if (rv[1] <= FTINY)
                                d = 1.0;
                        else
                                d = sqrt(-log(rv[1]) /
                                        (cosp*cosp/(np->u_alpha*np->u_alpha) +
                                         sinp*sinp/(np->v_alpha*np->v_alpha)));
                        for (i = 0; i < 3; i++)
                                h[i] = np->pnorm[i] +
                                        d*(cosp*np->u[i] + sinp*np->v[i]);
                        d = -2.0 * DOT(h, np->rp->rdir) / (1.0 + d*d);
                        VSUM(sr.rdir, np->rp->rdir, h, d);
                                                /* sample rejection test */
                        if ((d = DOT(sr.rdir, np->rp->ron)) <= FTINY)
                                continue;
                        checknorm(sr.rdir);
                        if (nstarget > 1) {     /* W-G-M-D adjustment */
                                if (nstaken) rayclear(&sr);
                                rayvalue(&sr);
                                d = 2./(1. + np->rp->rod/d);
                                scalescolor(sr.rcol, d);
                                saddscolor(scol, sr.rcol);
                        } else {
                                rayvalue(&sr);
                                smultscolor(sr.rcol, sr.rcoef);
                                saddscolor(np->rp->rcol, sr.rcol);
                        }
                        ++nstaken;
                }
                if (nstarget > 1) {             /* final W-G-M-D weighting */
                        smultscolor(scol, sr.rcoef);
                        d = (double)nstarget/ntrials;
                        scalescolor(scol, d);
                        saddscolor(np->rp->rcol, scol);
                }
                ndims--;
        }
                                        /* compute transmission */
        copyscolor(sr.rcoef, np->mcolor);               /* modify by material color */
        scalescolor(sr.rcoef, np->tspec);
        if ((np->specfl & (SP_TRAN|SP_TBLT)) == SP_TRAN &&
                        rayorigin(&sr, SPECULAR, np->rp, sr.rcoef) == 0) {
                nstarget = 1;
                if (specjitter > 1.5) { /* multiple samples? */
                        nstarget = specjitter*np->rp->rweight + .5;
                        if (sr.rweight <= minweight*nstarget)
                                nstarget = sr.rweight/minweight;
                        if (nstarget > 1) {
                                d = 1./nstarget;
                                scalescolor(sr.rcoef, d);
                                sr.rweight *= d;
                        } else
                                nstarget = 1;
                }
                dimlist[ndims++] = (int)(size_t)np->mp;
                maxiter = MAXITER*nstarget;
                for (nstaken = ntrials = 0; nstaken < nstarget &&
                                                ntrials < maxiter; ntrials++) {
                        if (ntrials)
                                d = frandom();
                        else
                                d = urand(ilhash(dimlist,ndims)+1823+samplendx);
                        multisamp(rv, 2, d);
                        d = 2.0*PI * rv[0];
                        cosp = tcos(d) * np->u_alpha;
                        sinp = tsin(d) * np->v_alpha;
                        d = 1./sqrt(cosp*cosp + sinp*sinp);
                        cosp *= d;
                        sinp *= d;
                        if ((0. <= specjitter) & (specjitter < 1.))
                                rv[1] = 1.0 - specjitter*rv[1];
                        if (rv[1] <= FTINY)
                                d = 1.0;
                        else
                                d = sqrt(-log(rv[1]) /
                                        (cosp*cosp/(np->u_alpha*np->u_alpha) +
                                         sinp*sinp/(np->v_alpha*np->v_alpha)));
                        for (i = 0; i < 3; i++)
                                sr.rdir[i] = np->prdir[i] +
                                                d*(cosp*np->u[i] + sinp*np->v[i]);
                        if (DOT(sr.rdir, np->rp->ron) >= -FTINY)
                                continue;
                        normalize(sr.rdir);     /* OK, normalize */
                        if (nstaken)            /* multi-sampling */
                                rayclear(&sr);
                        rayvalue(&sr);
                        smultscolor(sr.rcol, sr.rcoef);
                        saddscolor(np->rp->rcol, sr.rcol);
                        ++nstaken;
                }
                ndims--;
        }
}
Revision:	2.63
Committed:	Fri Nov 17 20:02:07 2023 UTC (23 months, 1 week ago) by greg
Content type:	text/plain
Branch:	MAIN
Changes since 2.62:	+3 -3 lines
Log Message:	fix: multiple bug fixes in hyperspectral code, added rvu, mkillum, rsensor, and ranimove to "working except photon map" status
#	User	Rev	Content
1	greg	2.1	#ifndef lint
2	greg	2.63	static const char RCSid[] = "$Id: aniso.c,v 2.62 2023/11/15 18:02:52 greg Exp $";
3	greg	2.1	#endif
4			/*
5			* Shading functions for anisotropic materials.
6			*/
7
8	greg	2.35	#include "copyright.h"
9	greg	2.34
10	greg	2.1	#include "ray.h"
11	greg	2.40	#include "ambient.h"
12	greg	2.1	#include "otypes.h"
13	schorsch	2.41	#include "rtotypes.h"
14			#include "source.h"
15	greg	2.1	#include "func.h"
16			#include "random.h"
17	greg	2.61	#include "pmapmat.h"
18	greg	2.1
19	greg	2.32	#ifndef MAXITER
20			#define MAXITER 10 /* maximum # specular ray attempts */
21			#endif
22
23	greg	2.1	/*
24	greg	2.22	* This routine implements the anisotropic Gaussian
25	greg	2.54	* model described by Ward in Siggraph `92 article, updated with
26			* normalization and sampling adjustments due to Geisler-Moroder and Duer.
27	greg	2.1	* We orient the surface towards the incoming ray, so a single
28			* surface can be used to represent an infinitely thin object.
29			*
30			* Arguments for MAT_PLASTIC2 and MAT_METAL2 are:
31			* 4+ ux uy uz funcfile [transform...]
32			* 0
33	greg	2.54	* 6 red grn blu specular-frac. u-rough v-rough
34	greg	2.1	*
35			* Real arguments for MAT_TRANS2 are:
36			* 8 red grn blu rspec u-rough v-rough trans tspec
37			*/
38
39			/* specularity flags */
40			#define SP_REFL 01 /* has reflected specular component */
41			#define SP_TRAN 02 /* has transmitted specular */
42	greg	2.10	#define SP_FLAT 04 /* reflecting surface is flat */
43			#define SP_RBLT 010 /* reflection below sample threshold */
44			#define SP_TBLT 020 /* transmission below threshold */
45	greg	2.1
46			typedef struct {
47	greg	2.2	OBJREC mp; / material pointer */
48	greg	2.1	RAY rp; / ray pointer */
49			short specfl; /* specularity flags, defined above */
50	greg	2.62	SCOLOR mcolor; /* color of this material */
51			SCOLOR scolor; /* color of specular component */
52	greg	2.6	FVECT vrefl; /* vector in reflected direction */
53	greg	2.1	FVECT prdir; /* vector in transmitted direction */
54			FVECT u, v; /* u and v vectors orienting anisotropy */
55	greg	2.18	double u_alpha; /* u roughness */
56			double v_alpha; /* v roughness */
57	greg	2.1	double rdiff, rspec; /* reflected specular, diffuse */
58			double trans; /* transmissivity */
59			double tdiff, tspec; /* transmitted specular, diffuse */
60			FVECT pnorm; /* perturbed surface normal */
61			double pdot; /* perturbed dot product */
62			} ANISODAT; /* anisotropic material data */
63
64	greg	2.55	static void getacoords(ANISODAT *np);
65			static void agaussamp(ANISODAT *np);
66	greg	2.34
67	greg	2.1
68	greg	2.34	static void
69	schorsch	2.41	diraniso( /* compute source contribution */
70	greg	2.62	SCOLOR scval, /* returned coefficient */
71	greg	2.54	void nnp, / material data */
72	schorsch	2.41	FVECT ldir, /* light source direction */
73			double omega /* light source size */
74			)
75	greg	2.1	{
76	greg	2.54	ANISODAT *np = nnp;
77	greg	2.1	double ldot;
78	greg	2.16	double dtmp, dtmp1, dtmp2;
79	greg	2.1	FVECT h;
80			double au2, av2;
81	greg	2.62	SCOLOR sctmp;
82	greg	2.1
83	greg	2.62	scolorblack(scval);
84	greg	2.1
85			ldot = DOT(np->pnorm, ldir);
86
87			if (ldot < 0.0 ? np->trans <= FTINY : np->trans >= 1.0-FTINY)
88			return; /* wrong side */
89
90	greg	2.54	if ((ldot > FTINY) & (np->rdiff > FTINY)) {
91	greg	2.1	/*
92			* Compute and add diffuse reflected component to returned
93			* color. The diffuse reflected component will always be
94			* modified by the color of the material.
95			*/
96	greg	2.62	copyscolor(sctmp, np->mcolor);
97	greg	2.42	dtmp = ldot * omega * np->rdiff * (1.0/PI);
98	greg	2.62	scalescolor(sctmp, dtmp);
99			saddscolor(scval, sctmp);
100	greg	2.1	}
101	greg	2.58
102			if ((ldot < -FTINY) & (np->tdiff > FTINY)) {
103			/*
104			* Compute diffuse transmission.
105			*/
106	greg	2.62	copyscolor(sctmp, np->mcolor);
107	greg	2.58	dtmp = -ldot * omega * np->tdiff * (1.0/PI);
108	greg	2.62	scalescolor(sctmp, dtmp);
109			saddscolor(scval, sctmp);
110	greg	2.58	}
111
112	greg	2.61	if (ambRayInPmap(np->rp))
113			return; /* specular accounted for in photon map */
114
115	greg	2.57	if (ldot > FTINY && np->specfl&SP_REFL) {
116	greg	2.1	/*
117			* Compute specular reflection coefficient using
118	greg	2.46	* anisotropic Gaussian distribution model.
119	greg	2.1	*/
120	greg	2.2	/* add source width if flat */
121			if (np->specfl & SP_FLAT)
122	greg	2.42	au2 = av2 = omega * (0.25/PI);
123	greg	2.2	else
124			au2 = av2 = 0.0;
125	greg	2.18	au2 += np->u_alpha*np->u_alpha;
126			av2 += np->v_alpha*np->v_alpha;
127	greg	2.1	/* half vector */
128	greg	2.54	VSUB(h, ldir, np->rp->rdir);
129	greg	2.1	/* ellipse */
130	greg	2.16	dtmp1 = DOT(np->u, h);
131			dtmp1 *= dtmp1 / au2;
132	greg	2.1	dtmp2 = DOT(np->v, h);
133			dtmp2 *= dtmp2 / av2;
134	greg	2.46	/* new W-G-M-D model */
135	greg	2.23	dtmp = DOT(np->pnorm, h);
136	greg	2.46	dtmp *= dtmp;
137			dtmp1 = (dtmp1 + dtmp2) / dtmp;
138			dtmp = exp(-dtmp1) * DOT(h,h) /
139			(PI * dtmpdtmp sqrt(au2*av2));
140	greg	2.1	/* worth using? */
141			if (dtmp > FTINY) {
142	greg	2.62	copyscolor(sctmp, np->scolor);
143	greg	2.46	dtmp = ldot omega;
144	greg	2.62	scalescolor(sctmp, dtmp);
145			saddscolor(scval, sctmp);
146	greg	2.1	}
147			}
148	greg	2.58
149	greg	2.57	if (ldot < -FTINY && np->specfl&SP_TRAN) {
150	greg	2.1	/*
151			* Compute specular transmission. Specular transmission
152			* is always modified by material color.
153			*/
154			/* roughness + source */
155	greg	2.42	au2 = av2 = omega * (1.0/PI);
156	greg	2.18	au2 += np->u_alpha*np->u_alpha;
157			av2 += np->v_alpha*np->v_alpha;
158	greg	2.16	/* "half vector" */
159	greg	2.54	VSUB(h, ldir, np->prdir);
160	greg	2.19	dtmp = DOT(h,h);
161	greg	2.16	if (dtmp > FTINY*FTINY) {
162	greg	2.19	dtmp1 = DOT(h,np->pnorm);
163			dtmp = 1.0 - dtmp1*dtmp1/dtmp;
164			if (dtmp > FTINY*FTINY) {
165			dtmp1 = DOT(h,np->u);
166	greg	2.23	dtmp1 *= dtmp1 / au2;
167	greg	2.19	dtmp2 = DOT(h,np->v);
168	greg	2.23	dtmp2 *= dtmp2 / av2;
169	greg	2.19	dtmp = (dtmp1 + dtmp2) / dtmp;
170			}
171	greg	2.16	} else
172			dtmp = 0.0;
173	greg	2.46	/* Gaussian */
174	greg	2.44	dtmp = exp(-dtmp) * (1.0/PI) * sqrt(-ldot/(np->pdotau2av2));
175	greg	2.1	/* worth using? */
176			if (dtmp > FTINY) {
177	greg	2.62	copyscolor(sctmp, np->mcolor);
178	greg	2.16	dtmp = np->tspec omega;
179	greg	2.62	scalescolor(sctmp, dtmp);
180			saddscolor(scval, sctmp);
181	greg	2.1	}
182			}
183			}
184
185
186	greg	2.54	int
187	schorsch	2.41	m_aniso( /* shade ray that hit something anisotropic */
188	greg	2.54	OBJREC *m,
189			RAY *r
190	schorsch	2.41	)
191	greg	2.1	{
192			ANISODAT nd;
193	greg	2.62	SCOLOR sctmp;
194	greg	2.54	int i;
195	greg	2.1	/* easy shadow test */
196	greg	2.10	if (r->crtype & SHADOW)
197	greg	2.27	return(1);
198	greg	2.1
199			if (m->oargs.nfargs != (m->otype == MAT_TRANS2 ? 8 : 6))
200			objerror(m, USER, "bad number of real arguments");
201	greg	2.36	/* check for back side */
202			if (r->rod < 0.0) {
203	greg	2.56	if (!backvis) {
204	greg	2.36	raytrans(r);
205			return(1);
206			}
207			raytexture(r, m->omod);
208			flipsurface(r); /* reorient if backvis */
209			} else
210			raytexture(r, m->omod);
211			/* get material color */
212	greg	2.2	nd.mp = m;
213	greg	2.1	nd.rp = r;
214	greg	2.62	setscolor(nd.mcolor, m->oargs.farg[0],
215	greg	2.1	m->oargs.farg[1],
216			m->oargs.farg[2]);
217			/* get roughness */
218			nd.specfl = 0;
219	greg	2.18	nd.u_alpha = m->oargs.farg[4];
220			nd.v_alpha = m->oargs.farg[5];
221	greg	2.54	if ((nd.u_alpha <= FTINY) \| (nd.v_alpha <= FTINY))
222	greg	2.10	objerror(m, USER, "roughness too small");
223	greg	2.36
224	greg	2.1	nd.pdot = raynormal(nd.pnorm, r); /* perturb normal */
225			if (nd.pdot < .001)
226			nd.pdot = .001; /* non-zero for diraniso() */
227	greg	2.62	smultscolor(nd.mcolor, r->pcol); /* modify material color */
228	greg	2.1	/* get specular component */
229			if ((nd.rspec = m->oargs.farg[3]) > FTINY) {
230			nd.specfl \|= SP_REFL;
231			/* compute specular color */
232			if (m->otype == MAT_METAL2)
233	greg	2.62	copyscolor(nd.scolor, nd.mcolor);
234	greg	2.1	else
235	greg	2.62	setscolor(nd.scolor, 1.0, 1.0, 1.0);
236			scalescolor(nd.scolor, nd.rspec);
237	greg	2.4	/* check threshold */
238	greg	2.25	if (specthresh >= nd.rspec-FTINY)
239	greg	2.4	nd.specfl \|= SP_RBLT;
240	greg	2.6	/* compute refl. direction */
241	greg	2.47	VSUM(nd.vrefl, r->rdir, nd.pnorm, 2.0*nd.pdot);
242	greg	2.6	if (DOT(nd.vrefl, r->ron) <= FTINY) /* penetration? */
243	greg	2.47	VSUM(nd.vrefl, r->rdir, r->ron, 2.0*r->rod);
244	greg	2.1	}
245			/* compute transmission */
246	greg	2.16	if (m->otype == MAT_TRANS2) {
247	greg	2.1	nd.trans = m->oargs.farg[6]*(1.0 - nd.rspec);
248			nd.tspec = nd.trans * m->oargs.farg[7];
249			nd.tdiff = nd.trans - nd.tspec;
250			if (nd.tspec > FTINY) {
251			nd.specfl \|= SP_TRAN;
252	greg	2.4	/* check threshold */
253	greg	2.25	if (specthresh >= nd.tspec-FTINY)
254	greg	2.4	nd.specfl \|= SP_TBLT;
255	greg	2.10	if (DOT(r->pert,r->pert) <= FTINY*FTINY) {
256	greg	2.1	VCOPY(nd.prdir, r->rdir);
257			} else {
258			for (i = 0; i < 3; i++) /* perturb */
259	greg	2.17	nd.prdir[i] = r->rdir[i] - r->pert[i];
260	greg	2.6	if (DOT(nd.prdir, r->ron) < -FTINY)
261			normalize(nd.prdir); /* OK */
262			else
263			VCOPY(nd.prdir, r->rdir);
264	greg	2.1	}
265			}
266			} else
267			nd.tdiff = nd.tspec = nd.trans = 0.0;
268
269			/* diffuse reflection */
270			nd.rdiff = 1.0 - nd.trans - nd.rspec;
271
272	greg	2.39	if (r->ro != NULL && isflat(r->ro->otype))
273	greg	2.4	nd.specfl \|= SP_FLAT;
274
275	greg	2.55	getacoords(&nd); /* set up coordinates */
276	greg	2.1
277	greg	2.60	if (nd.specfl & (SP_REFL\|SP_TRAN))
278	greg	2.55	agaussamp(&nd);
279	greg	2.1
280			if (nd.rdiff > FTINY) { /* ambient from this side */
281	greg	2.62	copyscolor(sctmp, nd.mcolor); /* modified by material color */
282			scalescolor(sctmp, nd.rdiff);
283	greg	2.52	if (nd.specfl & SP_RBLT) /* add in specular as well? */
284	greg	2.62	saddscolor(sctmp, nd.scolor);
285			multambient(sctmp, r, nd.pnorm);
286			saddscolor(r->rcol, sctmp); /* add to returned color */
287	greg	2.1	}
288	greg	2.58
289	greg	2.1	if (nd.tdiff > FTINY) { /* ambient from other side */
290	greg	2.31	FVECT bnorm;
291
292	greg	2.1	flipsurface(r);
293	greg	2.31	bnorm[0] = -nd.pnorm[0];
294			bnorm[1] = -nd.pnorm[1];
295			bnorm[2] = -nd.pnorm[2];
296	greg	2.62	copyscolor(sctmp, nd.mcolor); /* modified by color */
297			if (nd.specfl & SP_TBLT) {
298			scalescolor(sctmp, nd.trans);
299			} else {
300			scalescolor(sctmp, nd.tdiff);
301			}
302			multambient(sctmp, r, bnorm);
303			saddscolor(r->rcol, sctmp);
304	greg	2.1	flipsurface(r);
305			}
306			/* add direct component */
307			direct(r, diraniso, &nd);
308	greg	2.27
309			return(1);
310	greg	2.1	}
311
312	greg	2.34	static void
313	schorsch	2.41	getacoords( /* set up coordinate system */
314	greg	2.54	ANISODAT *np
315	schorsch	2.41	)
316	greg	2.1	{
317	greg	2.54	MFUNC *mf;
318			int i;
319	greg	2.1
320			mf = getfunc(np->mp, 3, 0x7, 1);
321	greg	2.55	setfunc(np->mp, np->rp);
322	greg	2.1	errno = 0;
323			for (i = 0; i < 3; i++)
324			np->u[i] = evalue(mf->ep[i]);
325	greg	2.57	if ((errno == EDOM) \| (errno == ERANGE))
326			np->u[0] = np->u[1] = np->u[2] = 0.0;
327	greg	2.53	if (mf->fxp != &unitxf)
328			multv3(np->u, np->u, mf->fxp->xfm);
329	greg	2.1	fcross(np->v, np->pnorm, np->u);
330			if (normalize(np->v) == 0.0) {
331	greg	2.57	if (fabs(np->u_alpha - np->v_alpha) > 0.001)
332			objerror(np->mp, WARNING, "illegal orientation vector");
333	greg	2.59	getperpendicular(np->u, np->pnorm, 1); /* punting */
334	greg	2.57	fcross(np->v, np->pnorm, np->u);
335			np->u_alpha = np->v_alpha = sqrt( 0.5 *
336			(np->u_alphanp->u_alpha + np->v_alphanp->v_alpha) );
337			} else
338			fcross(np->u, np->v, np->pnorm);
339	greg	2.1	}
340
341
342	greg	2.34	static void
343	greg	2.46	agaussamp( /* sample anisotropic Gaussian specular */
344	greg	2.54	ANISODAT *np
345	schorsch	2.41	)
346	greg	2.1	{
347			RAY sr;
348			FVECT h;
349			double rv[2];
350			double d, sinp, cosp;
351	greg	2.62	SCOLOR scol;
352	greg	2.50	int maxiter, ntrials, nstarget, nstaken;
353	greg	2.54	int i;
354	greg	2.1	/* compute reflection */
355	greg	2.4	if ((np->specfl & (SP_REFL\|SP_RBLT)) == SP_REFL &&
356	greg	2.55	rayorigin(&sr, SPECULAR, np->rp, np->scolor) == 0) {
357	greg	2.50	nstarget = 1;
358	greg	2.47	if (specjitter > 1.5) { /* multiple samples? */
359	greg	2.55	nstarget = specjitter*np->rp->rweight + .5;
360	greg	2.50	if (sr.rweight <= minweight*nstarget)
361			nstarget = sr.rweight/minweight;
362			if (nstarget > 1) {
363			d = 1./nstarget;
364	greg	2.63	scalescolor(sr.rcoef, d);
365	greg	2.48	sr.rweight *= d;
366	greg	2.47	} else
367	greg	2.50	nstarget = 1;
368	greg	2.47	}
369	greg	2.62	scolorblack(scol);
370	greg	2.51	dimlist[ndims++] = (int)(size_t)np->mp;
371	greg	2.50	maxiter = MAXITER*nstarget;
372			for (nstaken = ntrials = 0; nstaken < nstarget &&
373			ntrials < maxiter; ntrials++) {
374			if (ntrials)
375	greg	2.32	d = frandom();
376			else
377			d = urand(ilhash(dimlist,ndims)+samplendx);
378			multisamp(rv, 2, d);
379			d = 2.0PI rv[0];
380	gwlarson	2.33	cosp = tcos(d) * np->u_alpha;
381			sinp = tsin(d) * np->v_alpha;
382	greg	2.47	d = 1./sqrt(cospcosp + sinpsinp);
383			cosp *= d;
384			sinp *= d;
385			if ((0. <= specjitter) & (specjitter < 1.))
386			rv[1] = 1.0 - specjitter*rv[1];
387	greg	2.32	if (rv[1] <= FTINY)
388			d = 1.0;
389			else
390			d = sqrt(-log(rv[1]) /
391			(cospcosp/(np->u_alphanp->u_alpha) +
392			sinpsinp/(np->v_alphanp->v_alpha)));
393			for (i = 0; i < 3; i++)
394			h[i] = np->pnorm[i] +
395			d(cospnp->u[i] + sinp*np->v[i]);
396	greg	2.55	d = -2.0 * DOT(h, np->rp->rdir) / (1.0 + d*d);
397			VSUM(sr.rdir, np->rp->rdir, h, d);
398	greg	2.50	/* sample rejection test */
399	greg	2.55	if ((d = DOT(sr.rdir, np->rp->ron)) <= FTINY)
400	greg	2.47	continue;
401			checknorm(sr.rdir);
402	greg	2.50	if (nstarget > 1) { /* W-G-M-D adjustment */
403			if (nstaken) rayclear(&sr);
404			rayvalue(&sr);
405	greg	2.55	d = 2./(1. + np->rp->rod/d);
406	greg	2.62	scalescolor(sr.rcol, d);
407			saddscolor(scol, sr.rcol);
408	greg	2.50	} else {
409			rayvalue(&sr);
410	greg	2.62	smultscolor(sr.rcol, sr.rcoef);
411			saddscolor(np->rp->rcol, sr.rcol);
412	greg	2.32	}
413	greg	2.50	++nstaken;
414			}
415			if (nstarget > 1) { /* final W-G-M-D weighting */
416	greg	2.62	smultscolor(scol, sr.rcoef);
417	greg	2.50	d = (double)nstarget/ntrials;
418	greg	2.62	scalescolor(scol, d);
419			saddscolor(np->rp->rcol, scol);
420	greg	2.32	}
421	greg	2.1	ndims--;
422			}
423			/* compute transmission */
424	greg	2.62	copyscolor(sr.rcoef, np->mcolor); /* modify by material color */
425			scalescolor(sr.rcoef, np->tspec);
426	greg	2.7	if ((np->specfl & (SP_TRAN\|SP_TBLT)) == SP_TRAN &&
427	greg	2.55	rayorigin(&sr, SPECULAR, np->rp, sr.rcoef) == 0) {
428	greg	2.50	nstarget = 1;
429	greg	2.47	if (specjitter > 1.5) { /* multiple samples? */
430	greg	2.55	nstarget = specjitter*np->rp->rweight + .5;
431	greg	2.50	if (sr.rweight <= minweight*nstarget)
432			nstarget = sr.rweight/minweight;
433			if (nstarget > 1) {
434			d = 1./nstarget;
435	greg	2.63	scalescolor(sr.rcoef, d);
436	greg	2.48	sr.rweight *= d;
437	greg	2.47	} else
438	greg	2.50	nstarget = 1;
439	greg	2.47	}
440	greg	2.51	dimlist[ndims++] = (int)(size_t)np->mp;
441	greg	2.50	maxiter = MAXITER*nstarget;
442			for (nstaken = ntrials = 0; nstaken < nstarget &&
443			ntrials < maxiter; ntrials++) {
444			if (ntrials)
445	greg	2.32	d = frandom();
446			else
447			d = urand(ilhash(dimlist,ndims)+1823+samplendx);
448			multisamp(rv, 2, d);
449			d = 2.0PI rv[0];
450	gwlarson	2.33	cosp = tcos(d) * np->u_alpha;
451			sinp = tsin(d) * np->v_alpha;
452	greg	2.47	d = 1./sqrt(cospcosp + sinpsinp);
453			cosp *= d;
454			sinp *= d;
455			if ((0. <= specjitter) & (specjitter < 1.))
456			rv[1] = 1.0 - specjitter*rv[1];
457	greg	2.32	if (rv[1] <= FTINY)
458			d = 1.0;
459			else
460			d = sqrt(-log(rv[1]) /
461			(cospcosp/(np->u_alphanp->u_alpha) +
462	gwlarson	2.33	sinpsinp/(np->v_alphanp->v_alpha)));
463	greg	2.32	for (i = 0; i < 3; i++)
464			sr.rdir[i] = np->prdir[i] +
465			d(cospnp->u[i] + sinp*np->v[i]);
466	greg	2.55	if (DOT(sr.rdir, np->rp->ron) >= -FTINY)
467	greg	2.47	continue;
468			normalize(sr.rdir); /* OK, normalize */
469	greg	2.50	if (nstaken) /* multi-sampling */
470	greg	2.47	rayclear(&sr);
471			rayvalue(&sr);
472	greg	2.62	smultscolor(sr.rcol, sr.rcoef);
473			saddscolor(np->rp->rcol, sr.rcol);
474	greg	2.50	++nstaken;
475	greg	2.32	}
476	greg	2.7	ndims--;
477			}
478	greg	2.1	}