src/util/findglare.c

/* Copyright (c) 1991 Regents of the University of California */

#ifndef lint
static char SCCSid[] = "$SunId$ LBL";
#endif

/*
 * Find glare sources in a scene or image.
 *
 *      Greg Ward       March 1991
 */

#include "glare.h"

#define FEQ(a,b)        ((a)-(b)<=FTINY&&(a)-(b)<=FTINY)
#define VEQ(v1,v2)      (FEQ((v1)[0],(v2)[0])&&FEQ((v1)[1],(v2)[1]) \
                                &&FEQ((v1)[2],(v2)[2]))

char    *rtargv[32] = {"rtrace", "-h", "-ov", "-fff"};
int     rtargc = 4;

VIEW    ourview = STDVIEW;              /* our view */
VIEW    pictview = STDVIEW;             /* picture view */
VIEW    leftview, rightview;            /* leftmost and rightmost views */

char    *picture = NULL;                /* picture file name */
char    *octree = NULL;                 /* octree file name */

int     verbose = 0;                    /* verbose reporting */
char    *progname;                      /* global argv[0] */

double  threshold = 0.;                 /* glare threshold */

int     sampdens = SAMPDENS;            /* sample density */
ANGLE   glarang[180] = {AEND};          /* glare calculation angles */
int     nglarangs = 0;
double  maxtheta;                       /* maximum angle (in radians) */
int     hsize;                          /* horizontal size */
int     hlim;                           /* central limit of horizontal */

struct illum    *indirect;              /* array of indirect illuminances */

long    npixinvw;                       /* number of pixels in view */
long    npixmiss;                       /* number of pixels missed */


main(argc, argv)
int     argc;
char    *argv[];
{
        int     combine = 1;
        int     gotview = 0;
        int     rval, i;
        char    *err;

        progname = argv[0];
                                        /* process options */
        for (i = 1; i < argc && argv[i][0] == '-'; i++) {
                rval = getviewopt(&ourview, argc-i, argv+i);
                if (rval >= 0) {
                        i += rval;
                        gotview++;
                        continue;
                }
                switch (argv[i][1]) {
                case 't':
                        threshold = atof(argv[++i]);
                        break;
                case 'r':
                        sampdens = atoi(argv[++i])/2;
                        break;
                case 'v':
                        if (argv[i][2] == '\0') {
                                verbose++;
                                break;
                        }
                        if (argv[i][2] != 'f')
                                goto userr;
                        rval = viewfile(argv[++i], &ourview, 0, 0);
                        if (rval < 0) {
                                fprintf(stderr,
                                "%s: cannot open view file \"%s\"\n",
                                                progname, argv[i]);
                                exit(1);
                        } else if (rval == 0) {
                                fprintf(stderr,
                                        "%s: bad view file \"%s\"\n",
                                                progname, argv[i]);
                                exit(1);
                        } else
                                gotview++;
                        break;
                case 'g':
                        if (argv[i][2] != 'a')
                                goto userr;
                        if (setscan(glarang, argv[++i]) < 0) {
                                fprintf(stderr, "%s: bad angle spec \"%s\"\n",
                                        progname, argv[i]);
                                exit(1);
                        }
                        break;
                case 'p':
                        picture = argv[++i];
                        break;
                case 'c':
                        combine = !combine;
                        break;
                case 'd':
                case 'l':
                        rtargv[rtargc++] = argv[i];
                        rtargv[rtargc++] = argv[++i];
                        break;
                case 'a':
                        rtargv[rtargc++] = argv[i];
                        if (argv[i][2] == 'v') {
                                rtargv[rtargc++] = argv[++i];
                                rtargv[rtargc++] = argv[++i];
                        }
                        rtargv[rtargc++] = argv[++i];
                        break;
                default:
                        goto userr;
                }
        }
                                                /* get octree */
        if (i < argc-1)
                goto userr;
        if (i == argc-1) {
                rtargv[rtargc++] = octree = argv[i];
                rtargv[rtargc] = NULL;
        }
                                                /* get view */
        if (picture != NULL) {
                rval = viewfile(picture, &pictview, 0, 0);
                if (rval < 0) {
                        fprintf(stderr, "%s: cannot open picture file \"%s\"\n",
                                        progname, picture);
                        exit(1);
                } else if (rval == 0) {
                        fprintf(stderr,
                                "%s: cannot get view from picture \"%s\"\n",
                                        progname, picture);
                        exit(1);
                }
                if (pictview.type == VT_PAR) {
                        fprintf(stderr, "%s: %s: cannot use parallel view\n",
                                        progname, picture);
                        exit(1);
                }
                if ((err = setview(&pictview)) != NULL) {
                        fprintf(stderr, "%s: %s\n", picture, err);
                        exit(1);
                }
        }
        if (!gotview) {
                if (picture == NULL) {
                        fprintf(stderr, "%s: must have view or picture\n",
                                        progname);
                        exit(1);
                }
                copystruct(&ourview, &pictview);
        } else if (picture != NULL && !VEQ(ourview.vp, pictview.vp)) {
                fprintf(stderr, "%s: picture must have same viewpoint\n",
                                progname);
                exit(1);
        }
        ourview.type = VT_HEM;
        ourview.horiz = ourview.vert = 180.0;
        ourview.hoff = ourview.voff = 0.0;
        fvsum(ourview.vdir, ourview.vdir, ourview.vup,
                        -DOT(ourview.vdir,ourview.vup));
        if ((err = setview(&ourview)) != NULL) {
                fprintf(stderr, "%s: %s\n", progname, err);
                exit(1);
        }
        if (octree == NULL && picture == NULL) {
                fprintf(stderr,
                "%s: must specify at least one of picture or octree\n",
                                progname);
                exit(1);
        }
        init();                                 /* initialize program */
        if (threshold <= FTINY)
                comp_thresh();                  /* compute glare threshold */
        analyze();                              /* analyze view */
        if (combine)
                absorb_specks();                /* eliminate tiny sources */
        cleanup();                              /* tidy up */
                                                /* print header */
        printargs(argc, argv, stdout);
        fputs(VIEWSTR, stdout);
        fprintview(&ourview, stdout);
        printf("\n\n");
        printsources();                         /* print glare sources */
        printillum();                           /* print illuminances */
        exit(0);
userr:
        fprintf(stderr,
"Usage: %s [view options][-ga angles][-p picture][[rtrace options] octree]\n",
                        progname);
        exit(1);
}


init()                          /* initialize global variables */
{
        double  d;
        register int    i;

        if (verbose)
                fprintf(stderr, "%s: initializing data structures...\n",
                                progname);
                                                /* set direction vectors */
        for (i = 0; glarang[i] != AEND; i++)
                ;
        if (i > 0 && (glarang[0] <= 0 || glarang[i-1] >= 180)) {
                fprintf(stderr, "%s: glare angles must be between 1 and 179\n",
                                progname);
                exit(1);
        }
        nglarangs = i;
        /* nglardirs = 2*nglarangs + 1; */
        /* vsize = sampdens - 1; */
        if (nglarangs > 0)
                maxtheta = (PI/180.)*glarang[nglarangs-1];
        else
                maxtheta = 0.0;
        hlim = sampdens*maxtheta;
        hsize = hlim + sampdens - 1;
        if (hsize > (int)(PI*sampdens))
                hsize = PI*sampdens;
        indirect = (struct illum *)calloc(nglardirs, sizeof(struct illum));
        if (indirect == NULL)
                memerr("indirect illuminances");
        npixinvw = npixmiss = 0L;
        copystruct(&leftview, &ourview);
        copystruct(&rightview, &ourview);
        spinvector(leftview.vdir, ourview.vdir, ourview.vup, maxtheta);
        spinvector(rightview.vdir, ourview.vdir, ourview.vup, -maxtheta);
        setview(&leftview);
        setview(&rightview);
        indirect[nglarangs].lcos =
        indirect[nglarangs].rcos = cos(maxtheta);
        indirect[nglarangs].rsin =
        -(indirect[nglarangs].lsin = sin(maxtheta));
        indirect[nglarangs].theta = 0.0;
        for (i = 0; i < nglarangs; i++) {
                d = (glarang[nglarangs-1] - glarang[i])*(PI/180.);
                indirect[nglarangs-i-1].lcos =
                indirect[nglarangs+i+1].rcos = cos(d);
                indirect[nglarangs+i+1].rsin =
                -(indirect[nglarangs-i-1].lsin = sin(d));
                d = (glarang[nglarangs-1] + glarang[i])*(PI/180.);
                indirect[nglarangs-i-1].rcos =
                indirect[nglarangs+i+1].lcos = cos(d);
                indirect[nglarangs-i-1].rsin =
                -(indirect[nglarangs+i+1].lsin = sin(d));
                indirect[nglarangs-i-1].theta = (PI/180.)*glarang[i];
                indirect[nglarangs+i+1].theta = -(PI/180.)*glarang[i];
        }
                                                /* open picture */
        if (picture != NULL) {
                if (verbose)
                        fprintf(stderr, "%s: opening picture file \"%s\"...\n",
                                        progname, picture);
                open_pict(picture);
        }
                                                /* start rtrace */
        if (octree != NULL) {
                if (verbose) {
                        fprintf(stderr,
                                "%s: starting luminance calculation...\n\t",
                                        progname);
                        printargs(rtargc, rtargv, stderr);
                }
                fork_rtrace(rtargv);
        }
}


cleanup()                               /* close files, wait for children */
{
        if (verbose)
                fprintf(stderr, "%s: cleaning up...\n", progname);
        if (picture != NULL)
                close_pict();
        if (octree != NULL)
                done_rtrace();
        if (npixinvw < 100*npixmiss)
                fprintf(stderr, "%s: warning -- missing %ld%% of samples\n",
                                progname, 100L*npixmiss/npixinvw);
}


compdir(vd, x, y)                       /* compute direction for x,y */
FVECT   vd;
int     x, y;
{
        static int      cury = 10000;
        static double   err, cmpval;
        long    t;
        FVECT   org;                    /* dummy variable */

        if (x <= -hlim)                 /* left region */
                return(viewray(org, vd, &leftview,
                                (double)(x+hlim)/(2*sampdens)+.5,
                                (double)y/(2*sampdens)+.5));
        if (x >= hlim)                  /* right region */
                return(viewray(org, vd, &rightview,
                                (double)(x-hlim)/(2*sampdens)+.5,
                                (double)y/(2*sampdens)+.5));
                                        /* central region */
                                /* avoid over-counting of poles */
        if (cury != y) {
                err = 0.0;
                cmpval = sqrt(1.0 - (double)((long)y*y)/((long)vsize*vsize));
                cury = y;
        }
        err += cmpval;
        if (err <= 0.5)
                return(-1);
        err -= 1.0;
        if (viewray(org, vd, &ourview, .5, (double)y/(2*sampdens)+.5) < 0)
                return(-1);
        spinvector(vd, vd, ourview.vup, h_theta(x));
        return(0);
}


memerr(s)                       /* malloc failure */
char    *s;
{
        fprintf(stderr, "%s: out of memory for %s\n", progname, s);
        exit(1);
}


printsources()                  /* print out glare sources */
{
        register struct source  *sp;

        printf("BEGIN glare source\n");
        for (sp = donelist; sp != NULL; sp = sp->next)
                printf("\t%f %f %f\t%f\t%f\n",
                                sp->dir[0], sp->dir[1], sp->dir[2],
                                sp->dom, sp->brt);
        printf("END glare source\n");
}


printillum()                    /* print out indirect illuminances */
{
        register int    i;

        printf("BEGIN indirect illuminance\n");
        for (i = 0; i < nglardirs; i++)
                if (indirect[i].n > FTINY)
                        printf("\t%.0f\t%f\n", (180.0/PI)*indirect[i].theta,
                                        PI * indirect[i].sum / indirect[i].n);
        printf("END indirect illuminance\n");
}
Revision:	1.16
Committed:	Wed Apr 10 15:59:07 1991 UTC (33 years ago) by greg
Content type:	text/plain
Branch:	MAIN
Changes since 1.15:	+6 -0 lines
Log Message:	fixed small bug in absorb_specks() and added -c option
#	User	Rev	Content
1	greg	1.1	/* Copyright (c) 1991 Regents of the University of California */
2
3			#ifndef lint
4			static char SCCSid[] = "$SunId$ LBL";
5			#endif
6
7			/*
8			* Find glare sources in a scene or image.
9			*
10			* Greg Ward March 1991
11			*/
12
13			#include "glare.h"
14
15			#define FEQ(a,b) ((a)-(b)<=FTINY&&(a)-(b)<=FTINY)
16			#define VEQ(v1,v2) (FEQ((v1)[0],(v2)[0])&&FEQ((v1)[1],(v2)[1]) \
17			&&FEQ((v1)[2],(v2)[2]))
18
19			char *rtargv[32] = {"rtrace", "-h", "-ov", "-fff"};
20			int rtargc = 4;
21
22	greg	1.6	VIEW ourview = STDVIEW; /* our view */
23	greg	1.1	VIEW pictview = STDVIEW; /* picture view */
24			VIEW leftview, rightview; /* leftmost and rightmost views */
25
26			char picture = NULL; / picture file name */
27			char octree = NULL; / octree file name */
28
29			int verbose = 0; /* verbose reporting */
30			char progname; / global argv[0] */
31
32	greg	1.8	double threshold = 0.; /* glare threshold */
33
34	greg	1.4	int sampdens = SAMPDENS; /* sample density */
35	greg	1.1	ANGLE glarang[180] = {AEND}; /* glare calculation angles */
36			int nglarangs = 0;
37	greg	1.2	double maxtheta; /* maximum angle (in radians) */
38	greg	1.1	int hsize; /* horizontal size */
39			int hlim; /* central limit of horizontal */
40
41			struct illum indirect; / array of indirect illuminances */
42
43	greg	1.13	long npixinvw; /* number of pixels in view */
44			long npixmiss; /* number of pixels missed */
45	greg	1.1
46	greg	1.13
47	greg	1.1	main(argc, argv)
48			int argc;
49			char *argv[];
50			{
51	greg	1.16	int combine = 1;
52	greg	1.1	int gotview = 0;
53			int rval, i;
54			char *err;
55
56			progname = argv[0];
57			/* process options */
58			for (i = 1; i < argc && argv[i][0] == '-'; i++) {
59			rval = getviewopt(&ourview, argc-i, argv+i);
60			if (rval >= 0) {
61			i += rval;
62			gotview++;
63			continue;
64			}
65			switch (argv[i][1]) {
66	greg	1.8	case 't':
67			threshold = atof(argv[++i]);
68			break;
69	greg	1.4	case 'r':
70			sampdens = atoi(argv[++i])/2;
71			break;
72	greg	1.1	case 'v':
73			if (argv[i][2] == '\0') {
74			verbose++;
75			break;
76			}
77			if (argv[i][2] != 'f')
78			goto userr;
79			rval = viewfile(argv[++i], &ourview, 0, 0);
80			if (rval < 0) {
81			fprintf(stderr,
82			"%s: cannot open view file \"%s\"\n",
83			progname, argv[i]);
84			exit(1);
85			} else if (rval == 0) {
86			fprintf(stderr,
87			"%s: bad view file \"%s\"\n",
88			progname, argv[i]);
89			exit(1);
90			} else
91			gotview++;
92			break;
93			case 'g':
94			if (argv[i][2] != 'a')
95			goto userr;
96			if (setscan(glarang, argv[++i]) < 0) {
97			fprintf(stderr, "%s: bad angle spec \"%s\"\n",
98			progname, argv[i]);
99			exit(1);
100			}
101			break;
102			case 'p':
103			picture = argv[++i];
104			break;
105	greg	1.16	case 'c':
106			combine = !combine;
107			break;
108	greg	1.1	case 'd':
109			case 'l':
110			rtargv[rtargc++] = argv[i];
111			rtargv[rtargc++] = argv[++i];
112			break;
113			case 'a':
114			rtargv[rtargc++] = argv[i];
115			if (argv[i][2] == 'v') {
116			rtargv[rtargc++] = argv[++i];
117			rtargv[rtargc++] = argv[++i];
118			}
119			rtargv[rtargc++] = argv[++i];
120			break;
121			default:
122			goto userr;
123			}
124			}
125			/* get octree */
126			if (i < argc-1)
127			goto userr;
128			if (i == argc-1) {
129			rtargv[rtargc++] = octree = argv[i];
130			rtargv[rtargc] = NULL;
131			}
132			/* get view */
133			if (picture != NULL) {
134			rval = viewfile(picture, &pictview, 0, 0);
135			if (rval < 0) {
136			fprintf(stderr, "%s: cannot open picture file \"%s\"\n",
137			progname, picture);
138			exit(1);
139			} else if (rval == 0) {
140			fprintf(stderr,
141			"%s: cannot get view from picture \"%s\"\n",
142			progname, picture);
143			exit(1);
144			}
145			if (pictview.type == VT_PAR) {
146			fprintf(stderr, "%s: %s: cannot use parallel view\n",
147			progname, picture);
148			exit(1);
149			}
150			if ((err = setview(&pictview)) != NULL) {
151			fprintf(stderr, "%s: %s\n", picture, err);
152			exit(1);
153			}
154			}
155			if (!gotview) {
156			if (picture == NULL) {
157			fprintf(stderr, "%s: must have view or picture\n",
158			progname);
159			exit(1);
160			}
161			copystruct(&ourview, &pictview);
162			} else if (picture != NULL && !VEQ(ourview.vp, pictview.vp)) {
163			fprintf(stderr, "%s: picture must have same viewpoint\n",
164			progname);
165			exit(1);
166			}
167			ourview.type = VT_HEM;
168			ourview.horiz = ourview.vert = 180.0;
169			ourview.hoff = ourview.voff = 0.0;
170			fvsum(ourview.vdir, ourview.vdir, ourview.vup,
171			-DOT(ourview.vdir,ourview.vup));
172			if ((err = setview(&ourview)) != NULL) {
173			fprintf(stderr, "%s: %s\n", progname, err);
174			exit(1);
175			}
176			if (octree == NULL && picture == NULL) {
177			fprintf(stderr,
178			"%s: must specify at least one of picture or octree\n",
179			progname);
180			exit(1);
181			}
182			init(); /* initialize program */
183	greg	1.8	if (threshold <= FTINY)
184			comp_thresh(); /* compute glare threshold */
185	greg	1.1	analyze(); /* analyze view */
186	greg	1.16	if (combine)
187			absorb_specks(); /* eliminate tiny sources */
188	greg	1.1	cleanup(); /* tidy up */
189			/* print header */
190			printargs(argc, argv, stdout);
191			fputs(VIEWSTR, stdout);
192			fprintview(&ourview, stdout);
193			printf("\n\n");
194			printsources(); /* print glare sources */
195			printillum(); /* print illuminances */
196			exit(0);
197			userr:
198			fprintf(stderr,
199			"Usage: %s [view options][-ga angles][-p picture][[rtrace options] octree]\n",
200			progname);
201			exit(1);
202			}
203
204
205			init() /* initialize global variables */
206			{
207			double d;
208			register int i;
209
210			if (verbose)
211			fprintf(stderr, "%s: initializing data structures...\n",
212			progname);
213			/* set direction vectors */
214			for (i = 0; glarang[i] != AEND; i++)
215			;
216	greg	1.10	if (i > 0 && (glarang[0] <= 0 \|\| glarang[i-1] >= 180)) {
217	greg	1.1	fprintf(stderr, "%s: glare angles must be between 1 and 179\n",
218			progname);
219			exit(1);
220			}
221			nglarangs = i;
222			/* nglardirs = 2nglarangs + 1; /
223	greg	1.5	/* vsize = sampdens - 1; */
224	greg	1.2	if (nglarangs > 0)
225			maxtheta = (PI/180.)*glarang[nglarangs-1];
226			else
227			maxtheta = 0.0;
228	greg	1.4	hlim = sampdens*maxtheta;
229	greg	1.5	hsize = hlim + sampdens - 1;
230	greg	1.4	if (hsize > (int)(PI*sampdens))
231			hsize = PI*sampdens;
232	greg	1.1	indirect = (struct illum *)calloc(nglardirs, sizeof(struct illum));
233			if (indirect == NULL)
234			memerr("indirect illuminances");
235	greg	1.13	npixinvw = npixmiss = 0L;
236	greg	1.1	copystruct(&leftview, &ourview);
237			copystruct(&rightview, &ourview);
238	greg	1.3	spinvector(leftview.vdir, ourview.vdir, ourview.vup, maxtheta);
239			spinvector(rightview.vdir, ourview.vdir, ourview.vup, -maxtheta);
240	greg	1.1	setview(&leftview);
241			setview(&rightview);
242			indirect[nglarangs].lcos =
243			indirect[nglarangs].rcos = cos(maxtheta);
244	greg	1.9	indirect[nglarangs].rsin =
245			-(indirect[nglarangs].lsin = sin(maxtheta));
246	greg	1.1	indirect[nglarangs].theta = 0.0;
247			for (i = 0; i < nglarangs; i++) {
248			d = (glarang[nglarangs-1] - glarang[i])*(PI/180.);
249			indirect[nglarangs-i-1].lcos =
250			indirect[nglarangs+i+1].rcos = cos(d);
251	greg	1.9	indirect[nglarangs+i+1].rsin =
252			-(indirect[nglarangs-i-1].lsin = sin(d));
253	greg	1.1	d = (glarang[nglarangs-1] + glarang[i])*(PI/180.);
254			indirect[nglarangs-i-1].rcos =
255			indirect[nglarangs+i+1].lcos = cos(d);
256	greg	1.9	indirect[nglarangs-i-1].rsin =
257			-(indirect[nglarangs+i+1].lsin = sin(d));
258			indirect[nglarangs-i-1].theta = (PI/180.)*glarang[i];
259			indirect[nglarangs+i+1].theta = -(PI/180.)*glarang[i];
260	greg	1.1	}
261			/* open picture */
262			if (picture != NULL) {
263			if (verbose)
264			fprintf(stderr, "%s: opening picture file \"%s\"...\n",
265			progname, picture);
266			open_pict(picture);
267			}
268			/* start rtrace */
269			if (octree != NULL) {
270			if (verbose) {
271			fprintf(stderr,
272			"%s: starting luminance calculation...\n\t",
273			progname);
274			printargs(rtargc, rtargv, stderr);
275			}
276			fork_rtrace(rtargv);
277			}
278			}
279
280
281			cleanup() /* close files, wait for children */
282			{
283			if (verbose)
284			fprintf(stderr, "%s: cleaning up...\n", progname);
285			if (picture != NULL)
286			close_pict();
287			if (octree != NULL)
288			done_rtrace();
289	greg	1.13	if (npixinvw < 100*npixmiss)
290			fprintf(stderr, "%s: warning -- missing %ld%% of samples\n",
291			progname, 100L*npixmiss/npixinvw);
292	greg	1.1	}
293
294
295			compdir(vd, x, y) /* compute direction for x,y */
296			FVECT vd;
297			int x, y;
298			{
299	greg	1.15	static int cury = 10000;
300			static double err, cmpval;
301	greg	1.14	long t;
302	greg	1.1	FVECT org; /* dummy variable */
303
304			if (x <= -hlim) /* left region */
305			return(viewray(org, vd, &leftview,
306	greg	1.13	(double)(x+hlim)/(2*sampdens)+.5,
307			(double)y/(2*sampdens)+.5));
308	greg	1.1	if (x >= hlim) /* right region */
309			return(viewray(org, vd, &rightview,
310	greg	1.13	(double)(x-hlim)/(2*sampdens)+.5,
311			(double)y/(2*sampdens)+.5));
312	greg	1.14	/* central region */
313			/* avoid over-counting of poles */
314	greg	1.15	if (cury != y) {
315			err = 0.0;
316			cmpval = sqrt(1.0 - (double)((long)yy)/((long)vsizevsize));
317			cury = y;
318			}
319			err += cmpval;
320			if (err <= 0.5)
321	greg	1.14	return(-1);
322	greg	1.15	err -= 1.0;
323	greg	1.13	if (viewray(org, vd, &ourview, .5, (double)y/(2*sampdens)+.5) < 0)
324	greg	1.1	return(-1);
325			spinvector(vd, vd, ourview.vup, h_theta(x));
326			return(0);
327			}
328
329
330			memerr(s) /* malloc failure */
331			char *s;
332			{
333	greg	1.5	fprintf(stderr, "%s: out of memory for %s\n", progname, s);
334	greg	1.1	exit(1);
335			}
336
337
338			printsources() /* print out glare sources */
339			{
340			register struct source *sp;
341
342			printf("BEGIN glare source\n");
343			for (sp = donelist; sp != NULL; sp = sp->next)
344			printf("\t%f %f %f\t%f\t%f\n",
345			sp->dir[0], sp->dir[1], sp->dir[2],
346			sp->dom, sp->brt);
347			printf("END glare source\n");
348			}
349
350
351			printillum() /* print out indirect illuminances */
352			{
353			register int i;
354
355			printf("BEGIN indirect illuminance\n");
356			for (i = 0; i < nglardirs; i++)
357	greg	1.12	if (indirect[i].n > FTINY)
358			printf("\t%.0f\t%f\n", (180.0/PI)*indirect[i].theta,
359			PI * indirect[i].sum / indirect[i].n);
360	greg	1.2	printf("END indirect illuminance\n");
361	greg	1.1	}