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root/radiance/ray/src/common/bsdf.c
Revision: 2.6
Committed: Fri Sep 3 23:53:50 2010 UTC (13 years, 8 months ago) by greg
Content type: text/plain
Branch: MAIN
Changes since 2.5: +72 -2 lines
Log Message:
Working version of genBSDF with detail geometry support in mkillum

File Contents

# User Rev Content
1 greg 2.1 #ifndef lint
2 greg 2.6 static const char RCSid[] = "$Id: bsdf.c,v 2.5 2010/08/01 22:26:37 greg Exp $";
3 greg 2.1 #endif
4     /*
5     * Routines for handling BSDF data
6     */
7    
8     #include "standard.h"
9     #include "bsdf.h"
10     #include "paths.h"
11     #include "ezxml.h"
12     #include <ctype.h>
13    
14     #define MAXLATS 46 /* maximum number of latitudes */
15    
16     /* BSDF angle specification */
17     typedef struct {
18     char name[64]; /* basis name */
19     int nangles; /* total number of directions */
20     struct {
21     float tmin; /* starting theta */
22     short nphis; /* number of phis (0 term) */
23     } lat[MAXLATS+1]; /* latitudes */
24     } ANGLE_BASIS;
25    
26 greg 2.4 #define MAXABASES 7 /* limit on defined bases */
27 greg 2.1
28     static ANGLE_BASIS abase_list[MAXABASES] = {
29     {
30     "LBNL/Klems Full", 145,
31     { {-5., 1},
32     {5., 8},
33     {15., 16},
34     {25., 20},
35     {35., 24},
36     {45., 24},
37     {55., 24},
38     {65., 16},
39     {75., 12},
40     {90., 0} }
41     }, {
42     "LBNL/Klems Half", 73,
43     { {-6.5, 1},
44     {6.5, 8},
45     {19.5, 12},
46     {32.5, 16},
47     {46.5, 20},
48     {61.5, 12},
49     {76.5, 4},
50     {90., 0} }
51     }, {
52     "LBNL/Klems Quarter", 41,
53     { {-9., 1},
54     {9., 8},
55     {27., 12},
56     {46., 12},
57     {66., 8},
58     {90., 0} }
59     }
60     };
61    
62     static int nabases = 3; /* current number of defined bases */
63    
64 greg 2.3 #define FEQ(a,b) ((a)-(b) <= 1e-7 && (b)-(a) <= 1e-7)
65    
66     // returns the name of the given tag
67     #ifdef ezxml_name
68     #undef ezxml_name
69     static char *
70     ezxml_name(ezxml_t xml)
71     {
72     if (xml == NULL)
73     return(NULL);
74     return(xml->name);
75     }
76     #endif
77    
78     // returns the given tag's character content or empty string if none
79     #ifdef ezxml_txt
80     #undef ezxml_txt
81     static char *
82     ezxml_txt(ezxml_t xml)
83     {
84     if (xml == NULL)
85     return("");
86     return(xml->txt);
87     }
88     #endif
89    
90 greg 2.1
91     static int
92     ab_getvec( /* get vector for this angle basis index */
93     FVECT v,
94     int ndx,
95     void *p
96     )
97     {
98     ANGLE_BASIS *ab = (ANGLE_BASIS *)p;
99     int li;
100 greg 2.2 double pol, azi, d;
101 greg 2.1
102     if ((ndx < 0) | (ndx >= ab->nangles))
103     return(0);
104     for (li = 0; ndx >= ab->lat[li].nphis; li++)
105     ndx -= ab->lat[li].nphis;
106 greg 2.2 pol = PI/180.*0.5*(ab->lat[li].tmin + ab->lat[li+1].tmin);
107 greg 2.1 azi = 2.*PI*ndx/ab->lat[li].nphis;
108 greg 2.2 v[2] = d = cos(pol);
109     d = sqrt(1. - d*d); /* sin(pol) */
110 greg 2.1 v[0] = cos(azi)*d;
111     v[1] = sin(azi)*d;
112     return(1);
113     }
114    
115    
116     static int
117     ab_getndx( /* get index corresponding to the given vector */
118     FVECT v,
119     void *p
120     )
121     {
122     ANGLE_BASIS *ab = (ANGLE_BASIS *)p;
123     int li, ndx;
124 greg 2.2 double pol, azi, d;
125 greg 2.1
126     if ((v[2] < -1.0) | (v[2] > 1.0))
127     return(-1);
128 greg 2.2 pol = 180.0/PI*acos(v[2]);
129 greg 2.1 azi = 180.0/PI*atan2(v[1], v[0]);
130     if (azi < 0.0) azi += 360.0;
131 greg 2.2 for (li = 1; ab->lat[li].tmin <= pol; li++)
132 greg 2.1 if (!ab->lat[li].nphis)
133     return(-1);
134     --li;
135     ndx = (int)((1./360.)*azi*ab->lat[li].nphis + 0.5);
136     if (ndx >= ab->lat[li].nphis) ndx = 0;
137     while (li--)
138     ndx += ab->lat[li].nphis;
139     return(ndx);
140     }
141    
142    
143     static double
144     ab_getohm( /* get solid angle for this angle basis index */
145     int ndx,
146     void *p
147     )
148     {
149     ANGLE_BASIS *ab = (ANGLE_BASIS *)p;
150     int li;
151     double theta, theta1;
152    
153     if ((ndx < 0) | (ndx >= ab->nangles))
154     return(0);
155     for (li = 0; ndx >= ab->lat[li].nphis; li++)
156     ndx -= ab->lat[li].nphis;
157     theta1 = PI/180. * ab->lat[li+1].tmin;
158     if (ab->lat[li].nphis == 1) { /* special case */
159     if (ab->lat[li].tmin > FTINY)
160     error(USER, "unsupported BSDF coordinate system");
161     return(2.*PI*(1. - cos(theta1)));
162     }
163     theta = PI/180. * ab->lat[li].tmin;
164     return(2.*PI*(cos(theta) - cos(theta1))/(double)ab->lat[li].nphis);
165     }
166    
167    
168     static int
169     ab_getvecR( /* get reverse vector for this angle basis index */
170     FVECT v,
171     int ndx,
172     void *p
173     )
174     {
175     if (!ab_getvec(v, ndx, p))
176     return(0);
177    
178     v[0] = -v[0];
179     v[1] = -v[1];
180     v[2] = -v[2];
181    
182     return(1);
183     }
184    
185    
186     static int
187     ab_getndxR( /* get index corresponding to the reverse vector */
188     FVECT v,
189     void *p
190     )
191     {
192     FVECT v2;
193    
194     v2[0] = -v[0];
195     v2[1] = -v[1];
196     v2[2] = -v[2];
197    
198     return ab_getndx(v2, p);
199     }
200    
201    
202     static void
203 greg 2.4 load_angle_basis( /* load custom BSDF angle basis */
204 greg 2.3 ezxml_t wab
205     )
206     {
207     char *abname = ezxml_txt(ezxml_child(wab, "AngleBasisName"));
208     ezxml_t wbb;
209     int i;
210    
211 greg 2.4 if (!abname || !*abname)
212 greg 2.3 return;
213     for (i = nabases; i--; )
214     if (!strcmp(abname, abase_list[i].name))
215 greg 2.4 return; /* assume it's the same */
216 greg 2.3 if (nabases >= MAXABASES)
217     error(INTERNAL, "too many angle bases");
218     strcpy(abase_list[nabases].name, abname);
219     abase_list[nabases].nangles = 0;
220     for (i = 0, wbb = ezxml_child(wab, "AngleBasisBlock");
221     wbb != NULL; i++, wbb = wbb->next) {
222     if (i >= MAXLATS)
223     error(INTERNAL, "too many latitudes in custom basis");
224     abase_list[nabases].lat[i+1].tmin = atof(ezxml_txt(
225     ezxml_child(ezxml_child(wbb,
226     "ThetaBounds"), "UpperTheta")));
227     if (!i)
228     abase_list[nabases].lat[i].tmin =
229     -abase_list[nabases].lat[i+1].tmin;
230     else if (!FEQ(atof(ezxml_txt(ezxml_child(ezxml_child(wbb,
231     "ThetaBounds"), "LowerTheta"))),
232     abase_list[nabases].lat[i].tmin))
233     error(WARNING, "theta values disagree in custom basis");
234     abase_list[nabases].nangles +=
235     abase_list[nabases].lat[i].nphis =
236     atoi(ezxml_txt(ezxml_child(wbb, "nPhis")));
237     }
238     abase_list[nabases++].lat[i].nphis = 0;
239     }
240    
241    
242 greg 2.6 static double
243     to_meters( /* return factor to convert given unit to meters */
244     const char *unit
245     )
246     {
247     if (unit == NULL) return(1.); /* safe assumption? */
248     if (!strcasecmp(unit, "Meter")) return(1.);
249     if (!strcasecmp(unit, "Foot")) return(.3048);
250     if (!strcasecmp(unit, "Inch")) return(.0254);
251     if (!strcasecmp(unit, "Centimeter")) return(.01);
252     sprintf(errmsg, "unknown dimensional unit '%s'", unit);
253     error(USER, errmsg);
254     }
255    
256    
257     static void
258     load_geometry( /* load geometric dimensions and description (if any) */
259     struct BSDF_data *dp,
260     ezxml_t wdb
261     )
262     {
263     ezxml_t geom;
264     double cfact;
265     const char *fmt, *mgfstr;
266    
267     dp->dim[0] = dp->dim[1] = dp->dim[2] = 0;
268     dp->mgf = NULL;
269     if ((geom = ezxml_child(wdb, "Width")) != NULL)
270     dp->dim[0] = atof(ezxml_txt(geom)) *
271     to_meters(ezxml_attr(geom, "unit"));
272     if ((geom = ezxml_child(wdb, "Height")) != NULL)
273     dp->dim[1] = atof(ezxml_txt(geom)) *
274     to_meters(ezxml_attr(geom, "unit"));
275     if ((geom = ezxml_child(wdb, "Thickness")) != NULL)
276     dp->dim[2] = atof(ezxml_txt(geom)) *
277     to_meters(ezxml_attr(geom, "unit"));
278     if ((geom = ezxml_child(wdb, "Geometry")) == NULL ||
279     (mgfstr = ezxml_txt(geom)) == NULL)
280     return;
281     if ((fmt = ezxml_attr(geom, "format")) != NULL &&
282     strcasecmp(fmt, "MGF")) {
283     sprintf(errmsg, "unrecognized geometry format '%s'", fmt);
284     error(WARNING, errmsg);
285     return;
286     }
287     cfact = to_meters(ezxml_attr(geom, "unit"));
288     dp->mgf = (char *)malloc(strlen(mgfstr)+32);
289     if (dp->mgf == NULL)
290     error(SYSTEM, "out of memory in load_geometry");
291     if (cfact < 0.99 || cfact > 1.01)
292     sprintf(dp->mgf, "xf -s %.5f\n%s\nxf\n", cfact, mgfstr);
293     else
294     strcpy(dp->mgf, mgfstr);
295     }
296    
297    
298 greg 2.3 static void
299 greg 2.1 load_bsdf_data( /* load BSDF distribution for this wavelength */
300     struct BSDF_data *dp,
301     ezxml_t wdb
302     )
303     {
304     char *cbasis = ezxml_txt(ezxml_child(wdb,"ColumnAngleBasis"));
305     char *rbasis = ezxml_txt(ezxml_child(wdb,"RowAngleBasis"));
306     char *sdata;
307     int i;
308    
309 greg 2.4 if ((!cbasis || !*cbasis) | (!rbasis || !*rbasis)) {
310 greg 2.1 error(WARNING, "missing column/row basis for BSDF");
311     return;
312     }
313     for (i = nabases; i--; )
314     if (!strcmp(cbasis, abase_list[i].name)) {
315     dp->ninc = abase_list[i].nangles;
316     dp->ib_priv = (void *)&abase_list[i];
317     dp->ib_vec = ab_getvecR;
318     dp->ib_ndx = ab_getndxR;
319     dp->ib_ohm = ab_getohm;
320     break;
321     }
322     if (i < 0) {
323 greg 2.4 sprintf(errmsg, "undefined ColumnAngleBasis '%s'", cbasis);
324 greg 2.1 error(WARNING, errmsg);
325     return;
326     }
327     for (i = nabases; i--; )
328     if (!strcmp(rbasis, abase_list[i].name)) {
329     dp->nout = abase_list[i].nangles;
330     dp->ob_priv = (void *)&abase_list[i];
331     dp->ob_vec = ab_getvec;
332     dp->ob_ndx = ab_getndx;
333     dp->ob_ohm = ab_getohm;
334     break;
335     }
336     if (i < 0) {
337 greg 2.4 sprintf(errmsg, "undefined RowAngleBasis '%s'", cbasis);
338 greg 2.1 error(WARNING, errmsg);
339     return;
340     }
341     /* read BSDF data */
342     sdata = ezxml_txt(ezxml_child(wdb,"ScatteringData"));
343 greg 2.4 if (!sdata || !*sdata) {
344 greg 2.1 error(WARNING, "missing BSDF ScatteringData");
345     return;
346     }
347     dp->bsdf = (float *)malloc(sizeof(float)*dp->ninc*dp->nout);
348     if (dp->bsdf == NULL)
349     error(SYSTEM, "out of memory in load_bsdf_data");
350     for (i = 0; i < dp->ninc*dp->nout; i++) {
351     char *sdnext = fskip(sdata);
352     if (sdnext == NULL) {
353     error(WARNING, "bad/missing BSDF ScatteringData");
354     free(dp->bsdf); dp->bsdf = NULL;
355     return;
356     }
357     while (*sdnext && isspace(*sdnext))
358     sdnext++;
359     if (*sdnext == ',') sdnext++;
360     dp->bsdf[i] = atof(sdata);
361     sdata = sdnext;
362     }
363     while (isspace(*sdata))
364     sdata++;
365     if (*sdata) {
366     sprintf(errmsg, "%d extra characters after BSDF ScatteringData",
367 greg 2.5 (int)strlen(sdata));
368 greg 2.1 error(WARNING, errmsg);
369     }
370     }
371    
372    
373     static int
374     check_bsdf_data( /* check that BSDF data is sane */
375     struct BSDF_data *dp
376     )
377     {
378 greg 2.2 double *omega_iarr, *omega_oarr;
379     double dom, contrib, hemi_total;
380 greg 2.1 int nneg;
381 greg 2.2 FVECT v;
382 greg 2.1 int i, o;
383    
384     if (dp == NULL || dp->bsdf == NULL)
385     return(0);
386 greg 2.2 omega_iarr = (double *)calloc(dp->ninc, sizeof(double));
387     omega_oarr = (double *)calloc(dp->nout, sizeof(double));
388     if ((omega_iarr == NULL) | (omega_oarr == NULL))
389 greg 2.1 error(SYSTEM, "out of memory in check_bsdf_data");
390 greg 2.2 /* incoming projected solid angles */
391     hemi_total = .0;
392     for (i = dp->ninc; i--; ) {
393     dom = getBSDF_incohm(dp,i);
394     if (dom <= .0) {
395     error(WARNING, "zero/negative incoming solid angle");
396     continue;
397     }
398     if (!getBSDF_incvec(v,dp,i) || v[2] > FTINY) {
399     error(WARNING, "illegal incoming BSDF direction");
400     free(omega_iarr); free(omega_oarr);
401     return(0);
402     }
403     hemi_total += omega_iarr[i] = dom * -v[2];
404     }
405     if ((hemi_total > 1.02*PI) | (hemi_total < 0.98*PI)) {
406     sprintf(errmsg, "incoming BSDF hemisphere off by %.1f%%",
407     100.*(hemi_total/PI - 1.));
408     error(WARNING, errmsg);
409     }
410     dom = PI / hemi_total; /* fix normalization */
411     for (i = dp->ninc; i--; )
412     omega_iarr[i] *= dom;
413     /* outgoing projected solid angles */
414 greg 2.1 hemi_total = .0;
415     for (o = dp->nout; o--; ) {
416     dom = getBSDF_outohm(dp,o);
417     if (dom <= .0) {
418 greg 2.2 error(WARNING, "zero/negative outgoing solid angle");
419 greg 2.1 continue;
420     }
421     if (!getBSDF_outvec(v,dp,o) || v[2] < -FTINY) {
422     error(WARNING, "illegal outgoing BSDF direction");
423 greg 2.2 free(omega_iarr); free(omega_oarr);
424 greg 2.1 return(0);
425     }
426 greg 2.2 hemi_total += omega_oarr[o] = dom * v[2];
427 greg 2.1 }
428     if ((hemi_total > 1.02*PI) | (hemi_total < 0.98*PI)) {
429     sprintf(errmsg, "outgoing BSDF hemisphere off by %.1f%%",
430     100.*(hemi_total/PI - 1.));
431     error(WARNING, errmsg);
432     }
433 greg 2.2 dom = PI / hemi_total; /* fix normalization */
434 greg 2.1 for (o = dp->nout; o--; )
435 greg 2.2 omega_oarr[o] *= dom;
436     nneg = 0; /* check outgoing totals */
437     for (i = 0; i < dp->ninc; i++) {
438 greg 2.1 hemi_total = .0;
439     for (o = dp->nout; o--; ) {
440     double f = BSDF_value(dp,i,o);
441 greg 2.2 if (f >= .0)
442     hemi_total += f*omega_oarr[o];
443     else {
444     nneg += (f < -FTINY);
445     BSDF_value(dp,i,o) = .0f;
446     }
447 greg 2.1 }
448     if (hemi_total > 1.02) {
449 greg 2.2 sprintf(errmsg,
450     "incoming BSDF direction %d passes %.1f%% of light",
451     i, 100.*hemi_total);
452 greg 2.1 error(WARNING, errmsg);
453     }
454     }
455 greg 2.2 if (nneg) {
456     sprintf(errmsg, "%d negative BSDF values (ignored)", nneg);
457 greg 2.1 error(WARNING, errmsg);
458     }
459 greg 2.2 /* reverse roles and check again */
460     for (o = 0; o < dp->nout; o++) {
461     hemi_total = .0;
462     for (i = dp->ninc; i--; )
463     hemi_total += BSDF_value(dp,i,o) * omega_iarr[i];
464    
465     if (hemi_total > 1.02) {
466     sprintf(errmsg,
467     "outgoing BSDF direction %d collects %.1f%% of light",
468     o, 100.*hemi_total);
469     error(WARNING, errmsg);
470     }
471     }
472     free(omega_iarr); free(omega_oarr);
473 greg 2.1 return(1);
474     }
475    
476 greg 2.6
477 greg 2.1 struct BSDF_data *
478     load_BSDF( /* load BSDF data from file */
479     char *fname
480     )
481     {
482     char *path;
483     ezxml_t fl, wtl, wld, wdb;
484     struct BSDF_data *dp;
485    
486     path = getpath(fname, getrlibpath(), R_OK);
487     if (path == NULL) {
488     sprintf(errmsg, "cannot find BSDF file \"%s\"", fname);
489     error(WARNING, errmsg);
490     return(NULL);
491     }
492     fl = ezxml_parse_file(path);
493     if (fl == NULL) {
494     sprintf(errmsg, "cannot open BSDF \"%s\"", path);
495     error(WARNING, errmsg);
496     return(NULL);
497     }
498     if (ezxml_error(fl)[0]) {
499     sprintf(errmsg, "BSDF \"%s\" %s", path, ezxml_error(fl));
500     error(WARNING, errmsg);
501     ezxml_free(fl);
502     return(NULL);
503     }
504     if (strcmp(ezxml_name(fl), "WindowElement")) {
505     sprintf(errmsg,
506     "BSDF \"%s\": top level node not 'WindowElement'",
507     path);
508     error(WARNING, errmsg);
509     ezxml_free(fl);
510     return(NULL);
511     }
512     wtl = ezxml_child(ezxml_child(fl, "Optical"), "Layer");
513 greg 2.3 load_angle_basis(ezxml_child(ezxml_child(wtl,
514     "DataDefinition"), "AngleBasis"));
515 greg 2.1 dp = (struct BSDF_data *)calloc(1, sizeof(struct BSDF_data));
516 greg 2.6 load_geometry(dp, ezxml_child(wtl, "Material"));
517 greg 2.1 for (wld = ezxml_child(wtl, "WavelengthData");
518     wld != NULL; wld = wld->next) {
519     if (strcmp(ezxml_txt(ezxml_child(wld,"Wavelength")), "Visible"))
520     continue;
521     wdb = ezxml_child(wld, "WavelengthDataBlock");
522     if (wdb == NULL) continue;
523     if (strcmp(ezxml_txt(ezxml_child(wdb,"WavelengthDataDirection")),
524     "Transmission Front"))
525     continue;
526     load_bsdf_data(dp, wdb); /* load front BTDF */
527     break; /* ignore the rest */
528     }
529     ezxml_free(fl); /* done with XML file */
530     if (!check_bsdf_data(dp)) {
531     sprintf(errmsg, "bad/missing BTDF data in \"%s\"", path);
532     error(WARNING, errmsg);
533     free_BSDF(dp);
534     dp = NULL;
535     }
536     return(dp);
537     }
538    
539    
540     void
541     free_BSDF( /* free BSDF data structure */
542     struct BSDF_data *b
543     )
544     {
545     if (b == NULL)
546     return;
547 greg 2.6 if (b->mgf != NULL)
548     free(b->mgf);
549 greg 2.1 if (b->bsdf != NULL)
550     free(b->bsdf);
551     free(b);
552     }
553    
554    
555     int
556     r_BSDF_incvec( /* compute random input vector at given location */
557     FVECT v,
558     struct BSDF_data *b,
559     int i,
560     double rv,
561     MAT4 xm
562     )
563     {
564     FVECT pert;
565     double rad;
566     int j;
567    
568     if (!getBSDF_incvec(v, b, i))
569     return(0);
570     rad = sqrt(getBSDF_incohm(b, i) / PI);
571     multisamp(pert, 3, rv);
572     for (j = 0; j < 3; j++)
573     v[j] += rad*(2.*pert[j] - 1.);
574     if (xm != NULL)
575     multv3(v, v, xm);
576     return(normalize(v) != 0.0);
577     }
578    
579    
580     int
581     r_BSDF_outvec( /* compute random output vector at given location */
582     FVECT v,
583     struct BSDF_data *b,
584     int o,
585     double rv,
586     MAT4 xm
587     )
588     {
589     FVECT pert;
590     double rad;
591     int j;
592    
593     if (!getBSDF_outvec(v, b, o))
594     return(0);
595     rad = sqrt(getBSDF_outohm(b, o) / PI);
596     multisamp(pert, 3, rv);
597     for (j = 0; j < 3; j++)
598     v[j] += rad*(2.*pert[j] - 1.);
599     if (xm != NULL)
600     multv3(v, v, xm);
601     return(normalize(v) != 0.0);
602     }
603    
604    
605     static int
606     addrot( /* compute rotation (x,y,z) => (xp,yp,zp) */
607     char *xfarg[],
608     FVECT xp,
609     FVECT yp,
610     FVECT zp
611     )
612     {
613     static char bufs[3][16];
614     int bn = 0;
615     char **xfp = xfarg;
616     double theta;
617    
618     if (yp[2]*yp[2] + zp[2]*zp[2] < 2.*FTINY*FTINY) {
619     /* Special case for X' along Z-axis */
620     theta = -atan2(yp[0], yp[1]);
621     *xfp++ = "-ry";
622     *xfp++ = xp[2] < 0.0 ? "90" : "-90";
623     *xfp++ = "-rz";
624     sprintf(bufs[bn], "%f", theta*(180./PI));
625     *xfp++ = bufs[bn++];
626     return(xfp - xfarg);
627     }
628     theta = atan2(yp[2], zp[2]);
629     if (!FEQ(theta,0.0)) {
630     *xfp++ = "-rx";
631     sprintf(bufs[bn], "%f", theta*(180./PI));
632     *xfp++ = bufs[bn++];
633     }
634     theta = asin(-xp[2]);
635     if (!FEQ(theta,0.0)) {
636     *xfp++ = "-ry";
637     sprintf(bufs[bn], " %f", theta*(180./PI));
638     *xfp++ = bufs[bn++];
639     }
640     theta = atan2(xp[1], xp[0]);
641     if (!FEQ(theta,0.0)) {
642     *xfp++ = "-rz";
643     sprintf(bufs[bn], "%f", theta*(180./PI));
644     *xfp++ = bufs[bn++];
645     }
646     *xfp = NULL;
647     return(xfp - xfarg);
648     }
649    
650    
651     int
652     getBSDF_xfm( /* compute BSDF orient. -> world orient. transform */
653     MAT4 xm,
654     FVECT nrm,
655 greg 2.6 UpDir ud,
656     char *xfbuf
657 greg 2.1 )
658     {
659     char *xfargs[7];
660     XF myxf;
661     FVECT updir, xdest, ydest;
662 greg 2.6 int i;
663 greg 2.1
664     updir[0] = updir[1] = updir[2] = 0.;
665     switch (ud) {
666     case UDzneg:
667     updir[2] = -1.;
668     break;
669     case UDyneg:
670     updir[1] = -1.;
671     break;
672     case UDxneg:
673     updir[0] = -1.;
674     break;
675     case UDxpos:
676     updir[0] = 1.;
677     break;
678     case UDypos:
679     updir[1] = 1.;
680     break;
681     case UDzpos:
682     updir[2] = 1.;
683     break;
684     case UDunknown:
685     return(0);
686     }
687     fcross(xdest, updir, nrm);
688     if (normalize(xdest) == 0.0)
689     return(0);
690     fcross(ydest, nrm, xdest);
691     xf(&myxf, addrot(xfargs, xdest, ydest, nrm), xfargs);
692     copymat4(xm, myxf.xfm);
693 greg 2.6 if (xfbuf == NULL)
694     return(1);
695     /* return xf arguments as well */
696     for (i = 0; xfargs[i] != NULL; i++) {
697     *xfbuf++ = ' ';
698     strcpy(xfbuf, xfargs[i]);
699     while (*xfbuf) ++xfbuf;
700     }
701 greg 2.1 return(1);
702     }