16 |
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#include <math.h> |
17 |
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#include "bsdf.h" |
18 |
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|
19 |
+ |
#define DEBUG 1 |
20 |
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|
21 |
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#ifndef GRIDRES |
22 |
< |
#define GRIDRES 200 /* max. grid resolution per side */ |
22 |
> |
#define GRIDRES 200 /* grid resolution per side */ |
23 |
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#endif |
24 |
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|
25 |
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#define RSCA 2.7 /* radius scaling factor (empirical) */ |
56 |
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double vtotal; /* volume for normalization */ |
57 |
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int nrbf; /* number of RBFs */ |
58 |
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RBFVAL rbfa[1]; /* RBF array (extends struct) */ |
59 |
< |
} RBFLIST; /* RBF representation of DSF @ 1 incidence */ |
59 |
> |
} RBFNODE; /* RBF representation of DSF @ 1 incidence */ |
60 |
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|
61 |
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/* our loaded grid for this incident angle */ |
62 |
< |
static double theta_in_deg, phi_in_deg; |
63 |
< |
static GRIDVAL dsf_grid[GRIDRES][GRIDRES]; |
62 |
> |
static double theta_in_deg, phi_in_deg; |
63 |
> |
static GRIDVAL dsf_grid[GRIDRES][GRIDRES]; |
64 |
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|
65 |
+ |
/* all incident angles in-plane so far? */ |
66 |
+ |
static int single_plane_incident = -1; |
67 |
+ |
|
68 |
+ |
/* input/output orientations */ |
69 |
+ |
static int input_orient = 0; |
70 |
+ |
static int output_orient = 0; |
71 |
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|
72 |
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/* processed incident DSF measurements */ |
73 |
< |
static RBFLIST *dsf_list = NULL; |
73 |
> |
static RBFNODE *dsf_list = NULL; |
74 |
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|
75 |
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/* RBF-linking matrices (edges) */ |
76 |
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static MIGRATION *mig_list = NULL; |
77 |
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|
78 |
+ |
/* migration edges drawn in raster fashion */ |
79 |
+ |
static MIGRATION *mig_grid[GRIDRES][GRIDRES]; |
80 |
+ |
|
81 |
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#define mtx_nrows(m) ((m)->rbfv[0]->nrbf) |
82 |
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#define mtx_ncols(m) ((m)->rbfv[1]->nrbf) |
83 |
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#define mtx_ndx(m,i,j) ((i)*mtx_ncols(m) + (j)) |
84 |
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#define is_src(rbf,m) ((rbf) == (m)->rbfv[0]) |
85 |
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#define is_dest(rbf,m) ((rbf) == (m)->rbfv[1]) |
86 |
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#define nextedge(rbf,m) (m)->enxt[is_dest(rbf,m)] |
87 |
+ |
#define opp_rbf(rbf,m) (m)->rbfv[is_src(rbf,m)] |
88 |
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|
89 |
+ |
#define round(v) (int)((v) + .5 - ((v) < -.5)) |
90 |
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|
91 |
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char *progname; |
92 |
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|
93 |
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#ifdef DEBUG /* percentage to cull (<0 to turn off) */ |
94 |
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int pctcull = -1; |
95 |
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#else |
96 |
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int pctcull = 90; |
97 |
+ |
#endif |
98 |
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/* sampling order (set by data density) */ |
99 |
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int samp_order = 0; |
100 |
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|
101 |
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/* Compute volume associated with Gaussian lobe */ |
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static double |
103 |
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rbf_volume(const RBFVAL *rbfp) |
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|
110 |
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/* Compute outgoing vector from grid position */ |
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static void |
112 |
< |
vec_from_pos(FVECT vec, int xpos, int ypos) |
112 |
> |
ovec_from_pos(FVECT vec, int xpos, int ypos) |
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{ |
114 |
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double uv[2]; |
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double r2; |
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vec[0] = vec[1] = sqrt(2. - r2); |
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vec[0] *= uv[0]; |
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vec[1] *= uv[1]; |
123 |
< |
vec[2] = 1. - r2; |
123 |
> |
vec[2] = output_orient*(1. - r2); |
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} |
125 |
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|
126 |
< |
/* Compute grid position from normalized outgoing vector */ |
126 |
> |
/* Compute grid position from normalized input/output vector */ |
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static void |
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pos_from_vec(int pos[2], const FVECT vec) |
129 |
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{ |
130 |
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double sq[2]; /* uniform hemispherical projection */ |
131 |
< |
double norm = 1./sqrt(1. + vec[2]); |
131 |
> |
double norm = 1./sqrt(1. + fabs(vec[2])); |
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|
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SDdisk2square(sq, vec[0]*norm, vec[1]*norm); |
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|
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|
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/* Evaluate RBF for DSF at the given normalized outgoing direction */ |
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static double |
141 |
< |
eval_rbfrep(const RBFLIST *rp, const FVECT outvec) |
141 |
> |
eval_rbfrep(const RBFNODE *rp, const FVECT outvec) |
142 |
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{ |
143 |
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double res = .0; |
144 |
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const RBFVAL *rbfp; |
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double sig2; |
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int n; |
148 |
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|
149 |
+ |
if (rp == NULL) |
150 |
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return(.0); |
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rbfp = rp->rbfa; |
152 |
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for (n = rp->nrbf; n--; rbfp++) { |
153 |
< |
vec_from_pos(odir, rbfp->gx, rbfp->gy); |
153 |
> |
ovec_from_pos(odir, rbfp->gx, rbfp->gy); |
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sig2 = R2ANG(rbfp->crad); |
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sig2 = (DOT(odir,outvec) - 1.) / (sig2*sig2); |
156 |
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if (sig2 > -19.) |
159 |
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return(res); |
160 |
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} |
161 |
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|
162 |
+ |
/* Insert a new directional scattering function in our global list */ |
163 |
+ |
static void |
164 |
+ |
insert_dsf(RBFNODE *newrbf) |
165 |
+ |
{ |
166 |
+ |
RBFNODE *rbf, *rbf_last; |
167 |
+ |
/* keep in ascending theta order */ |
168 |
+ |
for (rbf_last = NULL, rbf = dsf_list; |
169 |
+ |
single_plane_incident & (rbf != NULL); |
170 |
+ |
rbf_last = rbf, rbf = rbf->next) |
171 |
+ |
if (input_orient*rbf->invec[2] < input_orient*newrbf->invec[2]) |
172 |
+ |
break; |
173 |
+ |
if (rbf_last == NULL) { |
174 |
+ |
newrbf->next = dsf_list; |
175 |
+ |
dsf_list = newrbf; |
176 |
+ |
return; |
177 |
+ |
} |
178 |
+ |
newrbf->next = rbf; |
179 |
+ |
rbf_last->next = newrbf; |
180 |
+ |
} |
181 |
+ |
|
182 |
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/* Count up filled nodes and build RBF representation from current grid */ |
183 |
< |
static RBFLIST * |
183 |
> |
static RBFNODE * |
184 |
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make_rbfrep(void) |
185 |
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{ |
186 |
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int niter = 16; |
187 |
+ |
int minrad = ANG2R(pow(2., 1.-samp_order)); |
188 |
|
double lastVar, thisVar = 100.; |
189 |
|
int nn; |
190 |
< |
RBFLIST *newnode; |
190 |
> |
RBFNODE *newnode; |
191 |
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int i, j; |
192 |
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|
193 |
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nn = 0; /* count selected bins */ |
195 |
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for (j = 0; j < GRIDRES; j++) |
196 |
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nn += dsf_grid[i][j].nval; |
197 |
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/* allocate RBF array */ |
198 |
< |
newnode = (RBFLIST *)malloc(sizeof(RBFLIST) + sizeof(RBFVAL)*(nn-1)); |
198 |
> |
newnode = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(nn-1)); |
199 |
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if (newnode == NULL) { |
200 |
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fputs("Out of memory in make_rbfrep()\n", stderr); |
201 |
|
exit(1); |
205 |
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newnode->invec[2] = sin(M_PI/180.*theta_in_deg); |
206 |
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newnode->invec[0] = cos(M_PI/180.*phi_in_deg)*newnode->invec[2]; |
207 |
|
newnode->invec[1] = sin(M_PI/180.*phi_in_deg)*newnode->invec[2]; |
208 |
< |
newnode->invec[2] = sqrt(1. - newnode->invec[2]*newnode->invec[2]); |
208 |
> |
newnode->invec[2] = input_orient*sqrt(1. - newnode->invec[2]*newnode->invec[2]); |
209 |
|
newnode->vtotal = 0; |
210 |
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newnode->nrbf = nn; |
211 |
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nn = 0; /* fill RBF array */ |
216 |
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newnode->rbfa[nn].crad = RSCA*dsf_grid[i][j].crad + .5; |
217 |
|
newnode->rbfa[nn].gx = i; |
218 |
|
newnode->rbfa[nn].gy = j; |
219 |
+ |
if (newnode->rbfa[nn].crad < minrad) |
220 |
+ |
minrad = newnode->rbfa[nn].crad; |
221 |
|
++nn; |
222 |
|
} |
223 |
|
/* iterate to improve interpolation accuracy */ |
224 |
|
do { |
225 |
< |
double dsum = .0, dsum2 = .0; |
225 |
> |
double dsum = 0, dsum2 = 0; |
226 |
|
nn = 0; |
227 |
|
for (i = 0; i < GRIDRES; i++) |
228 |
|
for (j = 0; j < GRIDRES; j++) |
229 |
|
if (dsf_grid[i][j].nval) { |
230 |
|
FVECT odir; |
231 |
|
double corr; |
232 |
< |
vec_from_pos(odir, i, j); |
232 |
> |
ovec_from_pos(odir, i, j); |
233 |
|
newnode->rbfa[nn++].peak *= corr = |
234 |
|
dsf_grid[i][j].vsum / |
235 |
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eval_rbfrep(newnode, odir); |
238 |
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} |
239 |
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lastVar = thisVar; |
240 |
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thisVar = dsum2/(double)nn; |
241 |
< |
/* |
241 |
> |
#ifdef DEBUG |
242 |
|
fprintf(stderr, "Avg., RMS error: %.1f%% %.1f%%\n", |
243 |
|
100.*dsum/(double)nn, |
244 |
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100.*sqrt(thisVar)); |
245 |
< |
*/ |
245 |
> |
#endif |
246 |
|
} while (--niter > 0 && lastVar-thisVar > 0.02*lastVar); |
247 |
|
|
248 |
|
nn = 0; /* compute sum for normalization */ |
249 |
|
while (nn < newnode->nrbf) |
250 |
|
newnode->vtotal += rbf_volume(&newnode->rbfa[nn++]); |
251 |
|
|
252 |
< |
newnode->next = dsf_list; |
253 |
< |
return(dsf_list = newnode); |
252 |
> |
insert_dsf(newnode); |
253 |
> |
/* adjust sampling resolution */ |
254 |
> |
samp_order = log(2./R2ANG(minrad))/M_LN2 + .5; |
255 |
> |
|
256 |
> |
return(newnode); |
257 |
|
} |
258 |
|
|
259 |
|
/* Load a set of measurements corresponding to a particular incident angle */ |
260 |
|
static int |
261 |
< |
load_bsdf_meas(const char *fname) |
261 |
> |
load_pabopto_meas(const char *fname) |
262 |
|
{ |
263 |
|
FILE *fp = fopen(fname, "r"); |
264 |
|
int inp_is_DSF = -1; |
265 |
< |
double theta_out, phi_out, val; |
265 |
> |
double new_phi, theta_out, phi_out, val; |
266 |
|
char buf[2048]; |
267 |
|
int n, c; |
268 |
|
|
272 |
|
return(0); |
273 |
|
} |
274 |
|
memset(dsf_grid, 0, sizeof(dsf_grid)); |
275 |
+ |
#ifdef DEBUG |
276 |
+ |
fprintf(stderr, "Loading measurement file '%s'...\n", fname); |
277 |
+ |
#endif |
278 |
|
/* read header information */ |
279 |
|
while ((c = getc(fp)) == '#' || c == EOF) { |
280 |
|
if (fgets(buf, sizeof(buf), fp) == NULL) { |
293 |
|
} |
294 |
|
if (sscanf(buf, "intheta %lf", &theta_in_deg) == 1) |
295 |
|
continue; |
296 |
< |
if (sscanf(buf, "inphi %lf", &phi_in_deg) == 1) |
296 |
> |
if (sscanf(buf, "inphi %lf", &new_phi) == 1) |
297 |
|
continue; |
298 |
|
if (sscanf(buf, "incident_angle %lf %lf", |
299 |
< |
&theta_in_deg, &phi_in_deg) == 2) |
299 |
> |
&theta_in_deg, &new_phi) == 2) |
300 |
|
continue; |
301 |
|
} |
302 |
|
if (inp_is_DSF < 0) { |
305 |
|
fclose(fp); |
306 |
|
return(0); |
307 |
|
} |
308 |
< |
ungetc(c, fp); /* read actual data */ |
308 |
> |
if (!input_orient) /* check input orientation */ |
309 |
> |
input_orient = 1 - 2*(theta_in_deg > 90.); |
310 |
> |
else if (input_orient > 0 ^ theta_in_deg < 90.) { |
311 |
> |
fputs("Cannot handle input angles on both sides of surface\n", |
312 |
> |
stderr); |
313 |
> |
exit(1); |
314 |
> |
} |
315 |
> |
if (single_plane_incident > 0) /* check if still in plane */ |
316 |
> |
single_plane_incident = (round(new_phi) == round(phi_in_deg)); |
317 |
> |
else if (single_plane_incident < 0) |
318 |
> |
single_plane_incident = 1; |
319 |
> |
phi_in_deg = new_phi; |
320 |
> |
ungetc(c, fp); /* read actual data */ |
321 |
|
while (fscanf(fp, "%lf %lf %lf\n", &theta_out, &phi_out, &val) == 3) { |
322 |
|
FVECT ovec; |
323 |
|
int pos[2]; |
324 |
|
|
325 |
+ |
if (!output_orient) /* check output orientation */ |
326 |
+ |
output_orient = 1 - 2*(theta_out > 90.); |
327 |
+ |
else if (output_orient > 0 ^ theta_out < 90.) { |
328 |
+ |
fputs("Cannot handle output angles on both sides of surface\n", |
329 |
+ |
stderr); |
330 |
+ |
exit(1); |
331 |
+ |
} |
332 |
|
ovec[2] = sin(M_PI/180.*theta_out); |
333 |
|
ovec[0] = cos(M_PI/180.*phi_out) * ovec[2]; |
334 |
|
ovec[1] = sin(M_PI/180.*phi_out) * ovec[2]; |
370 |
|
j = (i&1) ? jn : GRIDRES-1-jn; |
371 |
|
if (dsf_grid[i][j].nval) /* find empty grid pos. */ |
372 |
|
continue; |
373 |
< |
vec_from_pos(ovec0, i, j); |
373 |
> |
ovec_from_pos(ovec0, i, j); |
374 |
|
inear = jnear = -1; /* find nearest non-empty */ |
375 |
|
lastang2 = M_PI*M_PI; |
376 |
|
for (ii = i-r; ii <= i+r; ii++) { |
381 |
|
if (jj >= GRIDRES) break; |
382 |
|
if (!dsf_grid[ii][jj].nval) |
383 |
|
continue; |
384 |
< |
vec_from_pos(ovec1, ii, jj); |
384 |
> |
ovec_from_pos(ovec1, ii, jj); |
385 |
|
ang2 = 2. - 2.*DOT(ovec0,ovec1); |
386 |
|
if (ang2 >= lastang2) |
387 |
|
continue; |
398 |
|
if (r > dsf_grid[inear][jnear].crad) |
399 |
|
dsf_grid[inear][jnear].crad = r; |
400 |
|
/* next search radius */ |
401 |
< |
r = ang2*(2.*GRIDRES/M_PI) + 1; |
401 |
> |
r = ang2*(2.*GRIDRES/M_PI) + 3; |
402 |
|
} |
403 |
|
/* blur radii over hemisphere */ |
404 |
|
memset(fill_grid, 0, sizeof(fill_grid)); |
442 |
|
continue; |
443 |
|
if (!dsf_grid[i][j].crad) |
444 |
|
continue; /* shouldn't happen */ |
445 |
< |
vec_from_pos(ovec0, i, j); |
445 |
> |
ovec_from_pos(ovec0, i, j); |
446 |
|
maxang = 2.*R2ANG(dsf_grid[i][j].crad); |
447 |
|
if (maxang > ovec0[2]) /* clamp near horizon */ |
448 |
|
maxang = ovec0[2]; |
458 |
|
continue; |
459 |
|
if ((ii == i) & (jj == j)) |
460 |
|
continue; /* don't get self-absorbed */ |
461 |
< |
vec_from_pos(ovec1, ii, jj); |
461 |
> |
ovec_from_pos(ovec1, ii, jj); |
462 |
|
if (2. - 2.*DOT(ovec0,ovec1) >= maxang2) |
463 |
|
continue; |
464 |
|
/* absorb sum */ |
481 |
|
|
482 |
|
/* Compute (and allocate) migration price matrix for optimization */ |
483 |
|
static float * |
484 |
< |
price_routes(const RBFLIST *from_rbf, const RBFLIST *to_rbf) |
484 |
> |
price_routes(const RBFNODE *from_rbf, const RBFNODE *to_rbf) |
485 |
|
{ |
486 |
|
float *pmtx = (float *)malloc(sizeof(float) * |
487 |
|
from_rbf->nrbf * to_rbf->nrbf); |
493 |
|
exit(1); |
494 |
|
} |
495 |
|
for (j = to_rbf->nrbf; j--; ) /* save repetitive ops. */ |
496 |
< |
vec_from_pos(vto[j], to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy); |
496 |
> |
ovec_from_pos(vto[j], to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy); |
497 |
|
|
498 |
|
for (i = from_rbf->nrbf; i--; ) { |
499 |
|
const double from_ang = R2ANG(from_rbf->rbfa[i].crad); |
500 |
|
FVECT vfrom; |
501 |
< |
vec_from_pos(vfrom, from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy); |
501 |
> |
ovec_from_pos(vfrom, from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy); |
502 |
|
for (j = to_rbf->nrbf; j--; ) |
503 |
|
pmtx[i*to_rbf->nrbf + j] = acos(DOT(vfrom, vto[j])) + |
504 |
|
fabs(R2ANG(to_rbf->rbfa[j].crad) - from_ang); |
552 |
|
total_cost += amt * price[d]; |
553 |
|
amt2move -= amt; |
554 |
|
} |
480 |
– |
if (amt2move > 1e-5) fprintf(stderr, "%g leftover!\n", amt2move); |
555 |
|
return(total_cost); |
556 |
|
} |
557 |
|
|
561 |
|
{ |
562 |
|
static double *src_cost = NULL; |
563 |
|
int n_alloc = 0; |
564 |
< |
const double maxamt = 0.5/(mtx_nrows(mig)*mtx_ncols(mig)); |
564 |
> |
const double maxamt = 2./(mtx_nrows(mig)*mtx_ncols(mig)); |
565 |
|
double amt = 0; |
566 |
|
struct { |
567 |
|
int s, d; /* source and destination */ |
625 |
|
|
626 |
|
/* Compute (and insert) migration along directed edge */ |
627 |
|
static MIGRATION * |
628 |
< |
make_migration(RBFLIST *from_rbf, RBFLIST *to_rbf) |
628 |
> |
make_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
629 |
|
{ |
630 |
|
const double end_thresh = 0.02/(from_rbf->nrbf*to_rbf->nrbf); |
631 |
|
float *pmtx = price_routes(from_rbf, to_rbf); |
641 |
|
fputs("Out of memory in make_migration()\n", stderr); |
642 |
|
exit(1); |
643 |
|
} |
644 |
+ |
#ifdef DEBUG |
645 |
+ |
{ |
646 |
+ |
double theta, phi; |
647 |
+ |
theta = acos(from_rbf->invec[2])*(180./M_PI); |
648 |
+ |
phi = atan2(from_rbf->invec[1],from_rbf->invec[0])*(180./M_PI); |
649 |
+ |
fprintf(stderr, "Building path from (theta,phi) (%d,%d) to ", |
650 |
+ |
round(theta), round(phi)); |
651 |
+ |
theta = acos(to_rbf->invec[2])*(180./M_PI); |
652 |
+ |
phi = atan2(to_rbf->invec[1],to_rbf->invec[0])*(180./M_PI); |
653 |
+ |
fprintf(stderr, "(%d,%d)", round(theta), round(phi)); |
654 |
+ |
} |
655 |
+ |
#endif |
656 |
|
newmig->next = NULL; |
657 |
|
newmig->rbfv[0] = from_rbf; |
658 |
|
newmig->rbfv[1] = to_rbf; |
664 |
|
for (i = to_rbf->nrbf; i--; ) |
665 |
|
dst_rem[i] = rbf_volume(&to_rbf->rbfa[i]) / to_rbf->vtotal; |
666 |
|
/* move a bit at a time */ |
667 |
< |
while (total_rem > end_thresh) |
667 |
> |
while (total_rem > end_thresh) { |
668 |
|
total_rem -= migration_step(newmig, src_rem, dst_rem, pmtx); |
669 |
+ |
#ifdef DEBUG |
670 |
+ |
fputc('.', stderr); |
671 |
+ |
/*XXX*/break; |
672 |
+ |
#endif |
673 |
+ |
} |
674 |
+ |
#ifdef DEBUG |
675 |
+ |
fputs("done.\n", stderr); |
676 |
+ |
#endif |
677 |
|
|
678 |
|
free(pmtx); /* free working arrays */ |
679 |
|
free(src_rem); |
695 |
|
return(mig_list = newmig); |
696 |
|
} |
697 |
|
|
698 |
< |
#if 0 |
699 |
< |
/* Partially advect between the given RBFs to a newly allocated one */ |
700 |
< |
static RBFLIST * |
607 |
< |
advect_rbf(const RBFLIST *from_rbf, const RBFLIST *to_rbf, |
608 |
< |
const float *mtx, const FVECT invec) |
698 |
> |
/* Get triangle surface orientation (unnormalized) */ |
699 |
> |
static void |
700 |
> |
tri_orient(FVECT vres, const FVECT v1, const FVECT v2, const FVECT v3) |
701 |
|
{ |
702 |
< |
RBFLIST *rbf; |
702 |
> |
FVECT v2minus1, v3minus2; |
703 |
|
|
704 |
< |
if (from_rbf->nrbf > to_rbf->nrbf) { |
705 |
< |
fputs("Internal error: source RBF won't fit destination\n", |
706 |
< |
stderr); |
704 |
> |
VSUB(v2minus1, v2, v1); |
705 |
> |
VSUB(v3minus2, v3, v2); |
706 |
> |
VCROSS(vres, v2minus1, v3minus2); |
707 |
> |
} |
708 |
> |
|
709 |
> |
/* Determine if vertex order is reversed (inward normal) */ |
710 |
> |
static int |
711 |
> |
is_rev_tri(const FVECT v1, const FVECT v2, const FVECT v3) |
712 |
> |
{ |
713 |
> |
FVECT tor; |
714 |
> |
|
715 |
> |
tri_orient(tor, v1, v2, v3); |
716 |
> |
|
717 |
> |
return(DOT(tor, v2) < 0.); |
718 |
> |
} |
719 |
> |
|
720 |
> |
/* Find vertices completing triangles on either side of the given edge */ |
721 |
> |
static int |
722 |
> |
get_triangles(RBFNODE *rbfv[2], const MIGRATION *mig) |
723 |
> |
{ |
724 |
> |
const MIGRATION *ej, *ej2; |
725 |
> |
RBFNODE *tv; |
726 |
> |
|
727 |
> |
rbfv[0] = rbfv[1] = NULL; |
728 |
> |
if (mig == NULL) |
729 |
> |
return(0); |
730 |
> |
for (ej = mig->rbfv[0]->ejl; ej != NULL; |
731 |
> |
ej = nextedge(mig->rbfv[0],ej)) { |
732 |
> |
if (ej == mig) |
733 |
> |
continue; |
734 |
> |
tv = opp_rbf(mig->rbfv[0],ej); |
735 |
> |
for (ej2 = tv->ejl; ej2 != NULL; ej2 = nextedge(tv,ej2)) |
736 |
> |
if (opp_rbf(tv,ej2) == mig->rbfv[1]) { |
737 |
> |
rbfv[is_rev_tri(mig->rbfv[0]->invec, |
738 |
> |
mig->rbfv[1]->invec, |
739 |
> |
tv->invec)] = tv; |
740 |
> |
break; |
741 |
> |
} |
742 |
> |
} |
743 |
> |
return((rbfv[0] != NULL) + (rbfv[1] != NULL)); |
744 |
> |
} |
745 |
> |
|
746 |
> |
/* Check if prospective vertex would create overlapping triangle */ |
747 |
> |
static int |
748 |
> |
overlaps_tri(const RBFNODE *bv0, const RBFNODE *bv1, const RBFNODE *pv) |
749 |
> |
{ |
750 |
> |
const MIGRATION *ej; |
751 |
> |
RBFNODE *vother[2]; |
752 |
> |
int im_rev; |
753 |
> |
/* find shared edge in mesh */ |
754 |
> |
for (ej = pv->ejl; ej != NULL; ej = nextedge(pv,ej)) { |
755 |
> |
const RBFNODE *tv = opp_rbf(pv,ej); |
756 |
> |
if (tv == bv0) { |
757 |
> |
im_rev = is_rev_tri(ej->rbfv[0]->invec, |
758 |
> |
ej->rbfv[1]->invec, bv1->invec); |
759 |
> |
break; |
760 |
> |
} |
761 |
> |
if (tv == bv1) { |
762 |
> |
im_rev = is_rev_tri(ej->rbfv[0]->invec, |
763 |
> |
ej->rbfv[1]->invec, bv0->invec); |
764 |
> |
break; |
765 |
> |
} |
766 |
> |
} |
767 |
> |
if (!get_triangles(vother, ej)) |
768 |
> |
return(0); |
769 |
> |
return(vother[im_rev] != NULL); |
770 |
> |
} |
771 |
> |
|
772 |
> |
/* Find context hull vertex to complete triangle (oriented call) */ |
773 |
> |
static RBFNODE * |
774 |
> |
find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1) |
775 |
> |
{ |
776 |
> |
FVECT vmid, vor; |
777 |
> |
RBFNODE *rbf, *rbfbest = NULL; |
778 |
> |
double dprod2, area2, bestarea2 = FHUGE, bestdprod2 = 0.5; |
779 |
> |
|
780 |
> |
VADD(vmid, rbf0->invec, rbf1->invec); |
781 |
> |
if (normalize(vmid) == 0) |
782 |
> |
return(NULL); |
783 |
> |
/* XXX exhaustive search */ |
784 |
> |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
785 |
> |
if ((rbf == rbf0) | (rbf == rbf1)) |
786 |
> |
continue; |
787 |
> |
tri_orient(vor, rbf0->invec, rbf1->invec, rbf->invec); |
788 |
> |
dprod2 = DOT(vor, vmid); |
789 |
> |
if (dprod2 <= FTINY) |
790 |
> |
continue; /* wrong orientation */ |
791 |
> |
area2 = DOT(vor, vor); |
792 |
> |
dprod2 *= dprod2 / area2; |
793 |
> |
if (dprod2 > bestdprod2 + |
794 |
> |
FTINY*(1 - 2*(area2 < bestarea2)) && |
795 |
> |
!overlaps_tri(rbf0, rbf1, rbf)) { |
796 |
> |
rbfbest = rbf; |
797 |
> |
bestdprod2 = dprod2; |
798 |
> |
bestarea2 = area2; |
799 |
> |
} |
800 |
> |
} |
801 |
> |
return(rbfbest); |
802 |
> |
} |
803 |
> |
|
804 |
> |
/* Create new migration edge and grow mesh recursively around it */ |
805 |
> |
static void |
806 |
> |
mesh_from_edge(MIGRATION *edge) |
807 |
> |
{ |
808 |
> |
MIGRATION *ej0, *ej1; |
809 |
> |
RBFNODE *tvert[2]; |
810 |
> |
/* triangle on either side? */ |
811 |
> |
get_triangles(tvert, edge); |
812 |
> |
if (tvert[0] == NULL) { /* grow mesh on right */ |
813 |
> |
tvert[0] = find_chull_vert(edge->rbfv[0], edge->rbfv[1]); |
814 |
> |
if (tvert[0] != NULL) { |
815 |
> |
if (tvert[0] > edge->rbfv[0]) |
816 |
> |
ej0 = make_migration(edge->rbfv[0], tvert[0]); |
817 |
> |
else |
818 |
> |
ej0 = make_migration(tvert[0], edge->rbfv[0]); |
819 |
> |
if (tvert[0] > edge->rbfv[1]) |
820 |
> |
ej1 = make_migration(edge->rbfv[1], tvert[0]); |
821 |
> |
else |
822 |
> |
ej1 = make_migration(tvert[0], edge->rbfv[1]); |
823 |
> |
mesh_from_edge(ej0); |
824 |
> |
mesh_from_edge(ej1); |
825 |
> |
} |
826 |
> |
} |
827 |
> |
if (tvert[1] == NULL) { /* grow mesh on left */ |
828 |
> |
tvert[1] = find_chull_vert(edge->rbfv[1], edge->rbfv[0]); |
829 |
> |
if (tvert[1] != NULL) { |
830 |
> |
if (tvert[1] > edge->rbfv[0]) |
831 |
> |
ej0 = make_migration(edge->rbfv[0], tvert[1]); |
832 |
> |
else |
833 |
> |
ej0 = make_migration(tvert[1], edge->rbfv[0]); |
834 |
> |
if (tvert[1] > edge->rbfv[1]) |
835 |
> |
ej1 = make_migration(edge->rbfv[1], tvert[1]); |
836 |
> |
else |
837 |
> |
ej1 = make_migration(tvert[1], edge->rbfv[1]); |
838 |
> |
mesh_from_edge(ej0); |
839 |
> |
mesh_from_edge(ej1); |
840 |
> |
} |
841 |
> |
} |
842 |
> |
} |
843 |
> |
|
844 |
> |
#ifdef DEBUG |
845 |
> |
#include "random.h" |
846 |
> |
#include "bmpfile.h" |
847 |
> |
/* Hash pointer to byte value */ |
848 |
> |
static int |
849 |
> |
byte_hash(const void *p) |
850 |
> |
{ |
851 |
> |
size_t h = (size_t)p; |
852 |
> |
h ^= (size_t)p >> 8; |
853 |
> |
h ^= (size_t)p >> 16; |
854 |
> |
h ^= (size_t)p >> 24; |
855 |
> |
return(h & 0xff); |
856 |
> |
} |
857 |
> |
/* Write out BMP image showing edges */ |
858 |
> |
static void |
859 |
> |
write_edge_image(const char *fname) |
860 |
> |
{ |
861 |
> |
BMPHeader *hdr = BMPmappedHeader(GRIDRES, GRIDRES, 0, 256); |
862 |
> |
BMPWriter *wtr; |
863 |
> |
int i, j; |
864 |
> |
|
865 |
> |
fprintf(stderr, "Writing incident mesh drawing to '%s'\n", fname); |
866 |
> |
hdr->compr = BI_RLE8; |
867 |
> |
for (i = 256; --i; ) { /* assign random color map */ |
868 |
> |
hdr->palette[i].r = random() & 0xff; |
869 |
> |
hdr->palette[i].r = random() & 0xff; |
870 |
> |
hdr->palette[i].r = random() & 0xff; |
871 |
> |
} |
872 |
> |
hdr->palette[0].r = hdr->palette[0].g = hdr->palette[0].b = 0; |
873 |
> |
/* open output */ |
874 |
> |
wtr = BMPopenOutputFile(fname, hdr); |
875 |
> |
if (wtr == NULL) { |
876 |
> |
free(hdr); |
877 |
> |
return; |
878 |
> |
} |
879 |
> |
for (i = 0; i < GRIDRES; i++) { /* write scanlines */ |
880 |
> |
for (j = 0; j < GRIDRES; j++) |
881 |
> |
wtr->scanline[j] = byte_hash(mig_grid[i][j]); |
882 |
> |
if (BMPwriteScanline(wtr) != BIR_OK) |
883 |
> |
break; |
884 |
> |
} |
885 |
> |
BMPcloseOutput(wtr); /* close & clean up */ |
886 |
> |
} |
887 |
> |
#endif |
888 |
> |
|
889 |
> |
/* Draw edge list into mig_grid array */ |
890 |
> |
static void |
891 |
> |
draw_edges() |
892 |
> |
{ |
893 |
> |
int nnull = 0, ntot = 0; |
894 |
> |
MIGRATION *ej; |
895 |
> |
int p0[2], p1[2]; |
896 |
> |
|
897 |
> |
/* memset(mig_grid, 0, sizeof(mig_grid)); */ |
898 |
> |
for (ej = mig_list; ej != NULL; ej = ej->next) { |
899 |
> |
++ntot; |
900 |
> |
pos_from_vec(p0, ej->rbfv[0]->invec); |
901 |
> |
pos_from_vec(p1, ej->rbfv[1]->invec); |
902 |
> |
if ((p0[0] == p1[0]) & (p0[1] == p1[1])) { |
903 |
> |
++nnull; |
904 |
> |
mig_grid[p0[0]][p0[1]] = ej; |
905 |
> |
continue; |
906 |
> |
} |
907 |
> |
if (abs(p1[0]-p0[0]) > abs(p1[1]-p0[1])) { |
908 |
> |
const int xstep = 2*(p1[0] > p0[0]) - 1; |
909 |
> |
const double ystep = (double)((p1[1]-p0[1])*xstep) / |
910 |
> |
(double)(p1[0]-p0[0]); |
911 |
> |
int x; |
912 |
> |
double y; |
913 |
> |
for (x = p0[0], y = p0[1]+.5; x != p1[0]; |
914 |
> |
x += xstep, y += ystep) |
915 |
> |
mig_grid[x][(int)y] = ej; |
916 |
> |
mig_grid[x][(int)y] = ej; |
917 |
> |
} else { |
918 |
> |
const int ystep = 2*(p1[1] > p0[1]) - 1; |
919 |
> |
const double xstep = (double)((p1[0]-p0[0])*ystep) / |
920 |
> |
(double)(p1[1]-p0[1]); |
921 |
> |
int y; |
922 |
> |
double x; |
923 |
> |
for (y = p0[1], x = p0[0]+.5; y != p1[1]; |
924 |
> |
y += ystep, x += xstep) |
925 |
> |
mig_grid[(int)x][y] = ej; |
926 |
> |
mig_grid[(int)x][y] = ej; |
927 |
> |
} |
928 |
> |
} |
929 |
> |
if (nnull) |
930 |
> |
fprintf(stderr, "Warning: %d of %d edges are null\n", |
931 |
> |
nnull, ntot); |
932 |
> |
#ifdef DEBUG |
933 |
> |
write_edge_image("bsdf_edges.bmp"); |
934 |
> |
#endif |
935 |
> |
} |
936 |
> |
|
937 |
> |
/* Build our triangle mesh from recorded RBFs */ |
938 |
> |
static void |
939 |
> |
build_mesh() |
940 |
> |
{ |
941 |
> |
double best2 = M_PI*M_PI; |
942 |
> |
RBFNODE *shrt_edj[2]; |
943 |
> |
RBFNODE *rbf0, *rbf1; |
944 |
> |
/* check if isotropic */ |
945 |
> |
if (single_plane_incident) { |
946 |
> |
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
947 |
> |
if (rbf0->next != NULL) |
948 |
> |
make_migration(rbf0, rbf0->next); |
949 |
> |
return; |
950 |
> |
} |
951 |
> |
/* start w/ shortest edge */ |
952 |
> |
shrt_edj[0] = shrt_edj[1] = NULL; |
953 |
> |
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
954 |
> |
for (rbf1 = rbf0->next; rbf1 != NULL; rbf1 = rbf1->next) { |
955 |
> |
double dist2 = 2. - 2.*DOT(rbf0->invec,rbf1->invec); |
956 |
> |
if (dist2 < best2) { |
957 |
> |
shrt_edj[0] = rbf0; |
958 |
> |
shrt_edj[1] = rbf1; |
959 |
> |
best2 = dist2; |
960 |
> |
} |
961 |
> |
} |
962 |
> |
if (shrt_edj[0] == NULL) { |
963 |
> |
fputs("Cannot find shortest edge\n", stderr); |
964 |
|
exit(1); |
965 |
|
} |
966 |
< |
rbf = (RBFLIST *)malloc(sizeof(RBFLIST) + sizeof(RBFVAL)*(to_rbf->nrbf-1)); |
966 |
> |
/* build mesh from this edge */ |
967 |
> |
if (shrt_edj[0] < shrt_edj[1]) |
968 |
> |
mesh_from_edge(make_migration(shrt_edj[0], shrt_edj[1])); |
969 |
> |
else |
970 |
> |
mesh_from_edge(make_migration(shrt_edj[1], shrt_edj[0])); |
971 |
> |
/* draw edge list into grid */ |
972 |
> |
draw_edges(); |
973 |
> |
} |
974 |
> |
|
975 |
> |
/* Identify enclosing triangle for this position (flood fill raster check) */ |
976 |
> |
static int |
977 |
> |
identify_tri(MIGRATION *miga[3], unsigned char vmap[GRIDRES][(GRIDRES+7)/8], |
978 |
> |
int px, int py) |
979 |
> |
{ |
980 |
> |
const int btest = 1<<(py&07); |
981 |
> |
|
982 |
> |
if (vmap[px][py>>3] & btest) /* already visited here? */ |
983 |
> |
return(1); |
984 |
> |
/* else mark it */ |
985 |
> |
vmap[px][py>>3] |= btest; |
986 |
> |
|
987 |
> |
if (mig_grid[px][py] != NULL) { /* are we on an edge? */ |
988 |
> |
int i; |
989 |
> |
for (i = 0; i < 3; i++) { |
990 |
> |
if (miga[i] == mig_grid[px][py]) |
991 |
> |
return(1); |
992 |
> |
if (miga[i] != NULL) |
993 |
> |
continue; |
994 |
> |
miga[i] = mig_grid[px][py]; |
995 |
> |
return(1); |
996 |
> |
} |
997 |
> |
return(0); /* outside triangle! */ |
998 |
> |
} |
999 |
> |
/* check neighbors (flood) */ |
1000 |
> |
if (px > 0 && !identify_tri(miga, vmap, px-1, py)) |
1001 |
> |
return(0); |
1002 |
> |
if (px < GRIDRES-1 && !identify_tri(miga, vmap, px+1, py)) |
1003 |
> |
return(0); |
1004 |
> |
if (py > 0 && !identify_tri(miga, vmap, px, py-1)) |
1005 |
> |
return(0); |
1006 |
> |
if (py < GRIDRES-1 && !identify_tri(miga, vmap, px, py+1)) |
1007 |
> |
return(0); |
1008 |
> |
return(1); /* this neighborhood done */ |
1009 |
> |
} |
1010 |
> |
|
1011 |
> |
/* Find edge(s) for interpolating the given incident vector */ |
1012 |
> |
static int |
1013 |
> |
get_interp(MIGRATION *miga[3], const FVECT invec) |
1014 |
> |
{ |
1015 |
> |
miga[0] = miga[1] = miga[2] = NULL; |
1016 |
> |
if (single_plane_incident) { /* isotropic BSDF? */ |
1017 |
> |
RBFNODE *rbf; /* find edge we're on */ |
1018 |
> |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
1019 |
> |
if (input_orient*rbf->invec[2] < input_orient*invec[2]) |
1020 |
> |
break; |
1021 |
> |
if (rbf->next != NULL && |
1022 |
> |
input_orient*rbf->next->invec[2] < |
1023 |
> |
input_orient*invec[2]) { |
1024 |
> |
for (miga[0] = rbf->ejl; miga[0] != NULL; |
1025 |
> |
miga[0] = nextedge(rbf,miga[0])) |
1026 |
> |
if (opp_rbf(rbf,miga[0]) == rbf->next) |
1027 |
> |
return(1); |
1028 |
> |
break; |
1029 |
> |
} |
1030 |
> |
} |
1031 |
> |
return(0); /* outside range! */ |
1032 |
> |
} |
1033 |
> |
{ /* else use triangle mesh */ |
1034 |
> |
unsigned char floodmap[GRIDRES][(GRIDRES+7)/8]; |
1035 |
> |
int pstart[2]; |
1036 |
> |
|
1037 |
> |
pos_from_vec(pstart, invec); |
1038 |
> |
memset(floodmap, 0, sizeof(floodmap)); |
1039 |
> |
/* call flooding function */ |
1040 |
> |
if (!identify_tri(miga, floodmap, pstart[0], pstart[1])) |
1041 |
> |
return(0); /* outside mesh */ |
1042 |
> |
if ((miga[0] == NULL) | (miga[2] == NULL)) |
1043 |
> |
return(0); /* should never happen */ |
1044 |
> |
if (miga[1] == NULL) |
1045 |
> |
return(1); /* on edge */ |
1046 |
> |
return(3); /* else in triangle */ |
1047 |
> |
} |
1048 |
> |
} |
1049 |
> |
|
1050 |
> |
/* Advect and allocate new RBF along edge */ |
1051 |
> |
static RBFNODE * |
1052 |
> |
e_advect_rbf(const MIGRATION *mig, const FVECT invec) |
1053 |
> |
{ |
1054 |
> |
RBFNODE *rbf; |
1055 |
> |
int n, i, j; |
1056 |
> |
double t, full_dist; |
1057 |
> |
/* get relative position */ |
1058 |
> |
t = acos(DOT(invec, mig->rbfv[0]->invec)); |
1059 |
> |
if (t < M_PI/GRIDRES) { /* near first DSF */ |
1060 |
> |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(mig->rbfv[0]->nrbf-1); |
1061 |
> |
rbf = (RBFNODE *)malloc(n); |
1062 |
> |
if (rbf == NULL) |
1063 |
> |
goto memerr; |
1064 |
> |
memcpy(rbf, mig->rbfv[0], n); /* just duplicate */ |
1065 |
> |
return(rbf); |
1066 |
> |
} |
1067 |
> |
full_dist = acos(DOT(mig->rbfv[0]->invec, mig->rbfv[1]->invec)); |
1068 |
> |
if (t > full_dist-M_PI/GRIDRES) { /* near second DSF */ |
1069 |
> |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(mig->rbfv[1]->nrbf-1); |
1070 |
> |
rbf = (RBFNODE *)malloc(n); |
1071 |
> |
if (rbf == NULL) |
1072 |
> |
goto memerr; |
1073 |
> |
memcpy(rbf, mig->rbfv[1], n); /* just duplicate */ |
1074 |
> |
return(rbf); |
1075 |
> |
} |
1076 |
> |
t /= full_dist; |
1077 |
> |
n = 0; /* count migrating particles */ |
1078 |
> |
for (i = 0; i < mtx_nrows(mig); i++) |
1079 |
> |
for (j = 0; j < mtx_ncols(mig); j++) |
1080 |
> |
n += (mig->mtx[mtx_ndx(mig,i,j)] > FTINY); |
1081 |
> |
#ifdef DEBUG |
1082 |
> |
fprintf(stderr, "Input RBFs have %d, %d nodes -> output has %d\n", |
1083 |
> |
mig->rbfv[0]->nrbf, mig->rbfv[1]->nrbf, n); |
1084 |
> |
#endif |
1085 |
> |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
1086 |
> |
if (rbf == NULL) |
1087 |
> |
goto memerr; |
1088 |
> |
rbf->next = NULL; rbf->ejl = NULL; |
1089 |
> |
VCOPY(rbf->invec, invec); |
1090 |
> |
rbf->nrbf = n; |
1091 |
> |
rbf->vtotal = 1.-t + t*mig->rbfv[1]->vtotal/mig->rbfv[0]->vtotal; |
1092 |
> |
n = 0; /* advect RBF lobes */ |
1093 |
> |
for (i = 0; i < mtx_nrows(mig); i++) { |
1094 |
> |
const RBFVAL *rbf0i = &mig->rbfv[0]->rbfa[i]; |
1095 |
> |
const float peak0 = rbf0i->peak; |
1096 |
> |
const double rad0 = R2ANG(rbf0i->crad); |
1097 |
> |
FVECT v0; |
1098 |
> |
float mv; |
1099 |
> |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
1100 |
> |
for (j = 0; j < mtx_ncols(mig); j++) |
1101 |
> |
if ((mv = mig->mtx[mtx_ndx(mig,i,j)]) > FTINY) { |
1102 |
> |
const RBFVAL *rbf1j = &mig->rbfv[1]->rbfa[j]; |
1103 |
> |
double rad1 = R2ANG(rbf1j->crad); |
1104 |
> |
FVECT v; |
1105 |
> |
int pos[2]; |
1106 |
> |
rbf->rbfa[n].peak = peak0 * mv * rbf->vtotal; |
1107 |
> |
rbf->rbfa[n].crad = ANG2R(sqrt(rad0*rad0*(1.-t) + |
1108 |
> |
rad1*rad1*t)); |
1109 |
> |
ovec_from_pos(v, rbf1j->gx, rbf1j->gy); |
1110 |
> |
geodesic(v, v0, v, t, GEOD_REL); |
1111 |
> |
pos_from_vec(pos, v); |
1112 |
> |
rbf->rbfa[n].gx = pos[0]; |
1113 |
> |
rbf->rbfa[n].gy = pos[1]; |
1114 |
> |
++n; |
1115 |
> |
} |
1116 |
> |
} |
1117 |
> |
rbf->vtotal *= mig->rbfv[0]->vtotal; /* turn ratio into actual */ |
1118 |
> |
return(rbf); |
1119 |
> |
memerr: |
1120 |
> |
fputs("Out of memory in e_advect_rbf()\n", stderr); |
1121 |
> |
exit(1); |
1122 |
> |
return(NULL); /* pro forma return */ |
1123 |
> |
} |
1124 |
> |
|
1125 |
> |
/* Insert vertex in ordered list */ |
1126 |
> |
static void |
1127 |
> |
insert_vert(RBFNODE **vlist, RBFNODE *v) |
1128 |
> |
{ |
1129 |
> |
int i, j; |
1130 |
> |
|
1131 |
> |
for (i = 0; vlist[i] != NULL; i++) { |
1132 |
> |
if (v == vlist[i]) |
1133 |
> |
return; |
1134 |
> |
if (v < vlist[i]) |
1135 |
> |
break; |
1136 |
> |
} |
1137 |
> |
for (j = i; vlist[j] != NULL; j++) |
1138 |
> |
; |
1139 |
> |
while (j > i) { |
1140 |
> |
vlist[j] = vlist[j-1]; |
1141 |
> |
--j; |
1142 |
> |
} |
1143 |
> |
vlist[i] = v; |
1144 |
> |
} |
1145 |
> |
|
1146 |
> |
/* Sort triangle edges in standard order */ |
1147 |
> |
static void |
1148 |
> |
order_triangle(MIGRATION *miga[3]) |
1149 |
> |
{ |
1150 |
> |
RBFNODE *vert[4]; |
1151 |
> |
MIGRATION *ord[3]; |
1152 |
> |
int i; |
1153 |
> |
/* order vertices, first */ |
1154 |
> |
memset(vert, 0, sizeof(vert)); |
1155 |
> |
for (i = 0; i < 3; i++) { |
1156 |
> |
insert_vert(vert, miga[i]->rbfv[0]); |
1157 |
> |
insert_vert(vert, miga[i]->rbfv[1]); |
1158 |
> |
} |
1159 |
> |
/* identify edge 0 */ |
1160 |
> |
for (i = 0; i < 3; i++) |
1161 |
> |
if (miga[i]->rbfv[0] == vert[0] && |
1162 |
> |
miga[i]->rbfv[1] == vert[1]) { |
1163 |
> |
ord[0] = miga[i]; |
1164 |
> |
break; |
1165 |
> |
} |
1166 |
> |
/* identify edge 1 */ |
1167 |
> |
for (i = 0; i < 3; i++) |
1168 |
> |
if (miga[i]->rbfv[0] == vert[1] && |
1169 |
> |
miga[i]->rbfv[1] == vert[2]) { |
1170 |
> |
ord[1] = miga[i]; |
1171 |
> |
break; |
1172 |
> |
} |
1173 |
> |
/* identify edge 2 */ |
1174 |
> |
for (i = 0; i < 3; i++) |
1175 |
> |
if (miga[i]->rbfv[0] == vert[0] && |
1176 |
> |
miga[i]->rbfv[1] == vert[2]) { |
1177 |
> |
ord[2] = miga[i]; |
1178 |
> |
break; |
1179 |
> |
} |
1180 |
> |
miga[0] = ord[0]; miga[1] = ord[1]; miga[2] = ord[2]; |
1181 |
> |
} |
1182 |
> |
|
1183 |
> |
/* Partially advect between recorded incident angles and allocate new RBF */ |
1184 |
> |
static RBFNODE * |
1185 |
> |
advect_rbf(const FVECT invec) |
1186 |
> |
{ |
1187 |
> |
MIGRATION *miga[3]; |
1188 |
> |
RBFNODE *rbf; |
1189 |
> |
float mbfact, mcfact; |
1190 |
> |
int n, i, j, k; |
1191 |
> |
FVECT v0, v1, v2; |
1192 |
> |
double s, t; |
1193 |
> |
|
1194 |
> |
if (!get_interp(miga, invec)) /* can't interpolate? */ |
1195 |
> |
return(NULL); |
1196 |
> |
if (miga[1] == NULL) /* advect along edge? */ |
1197 |
> |
return(e_advect_rbf(miga[0], invec)); |
1198 |
> |
/* put in standard order */ |
1199 |
> |
order_triangle(miga); |
1200 |
> |
#ifdef DEBUG |
1201 |
> |
if (miga[0]->rbfv[0] != miga[2]->rbfv[0] | |
1202 |
> |
miga[0]->rbfv[1] != miga[1]->rbfv[0] | |
1203 |
> |
miga[1]->rbfv[1] != miga[2]->rbfv[1]) { |
1204 |
> |
fputs("Triangle vertex screw-up!\n", stderr); |
1205 |
> |
exit(1); |
1206 |
> |
} |
1207 |
> |
#endif |
1208 |
> |
/* figure out position */ |
1209 |
> |
fcross(v0, miga[2]->rbfv[0]->invec, miga[2]->rbfv[1]->invec); |
1210 |
> |
normalize(v0); |
1211 |
> |
fcross(v2, miga[1]->rbfv[0]->invec, miga[1]->rbfv[1]->invec); |
1212 |
> |
normalize(v2); |
1213 |
> |
fcross(v1, invec, miga[1]->rbfv[1]->invec); |
1214 |
> |
normalize(v1); |
1215 |
> |
s = acos(DOT(v0,v1)) / acos(DOT(v0,v2)); |
1216 |
> |
geodesic(v1, miga[0]->rbfv[0]->invec, miga[0]->rbfv[1]->invec, |
1217 |
> |
s, GEOD_REL); |
1218 |
> |
t = acos(DOT(v1,invec)) / acos(DOT(v1,miga[1]->rbfv[1]->invec)); |
1219 |
> |
n = 0; /* count migrating particles */ |
1220 |
> |
for (i = 0; i < mtx_nrows(miga[0]); i++) |
1221 |
> |
for (j = 0; j < mtx_ncols(miga[0]); j++) |
1222 |
> |
for (k = (miga[0]->mtx[mtx_ndx(miga[0],i,j)] > FTINY) * |
1223 |
> |
mtx_ncols(miga[2]); k--; ) |
1224 |
> |
n += (miga[2]->mtx[mtx_ndx(miga[2],i,k)] > FTINY && |
1225 |
> |
miga[1]->mtx[mtx_ndx(miga[1],j,k)] > FTINY); |
1226 |
> |
#ifdef DEBUG |
1227 |
> |
fprintf(stderr, "Input RBFs have %d, %d, %d nodes -> output has %d\n", |
1228 |
> |
miga[0]->rbfv[0]->nrbf, miga[0]->rbfv[1]->nrbf, |
1229 |
> |
miga[2]->rbfv[1]->nrbf, n); |
1230 |
> |
#endif |
1231 |
> |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
1232 |
|
if (rbf == NULL) { |
1233 |
|
fputs("Out of memory in advect_rbf()\n", stderr); |
1234 |
|
exit(1); |
1235 |
|
} |
1236 |
|
rbf->next = NULL; rbf->ejl = NULL; |
1237 |
|
VCOPY(rbf->invec, invec); |
1238 |
< |
rbf->vtotal = 0; |
1239 |
< |
rbf->nrbf = to_rbf->nrbf; |
1240 |
< |
|
1241 |
< |
return rbf; |
1238 |
> |
rbf->nrbf = n; |
1239 |
> |
n = 0; /* compute RBF lobes */ |
1240 |
> |
mbfact = s * miga[0]->rbfv[1]->vtotal/miga[0]->rbfv[0]->vtotal * |
1241 |
> |
(1.-t + t*miga[1]->rbfv[1]->vtotal/miga[1]->rbfv[0]->vtotal); |
1242 |
> |
mcfact = (1.-s) * |
1243 |
> |
(1.-t + t*miga[2]->rbfv[1]->vtotal/miga[2]->rbfv[0]->vtotal); |
1244 |
> |
for (i = 0; i < mtx_nrows(miga[0]); i++) { |
1245 |
> |
const RBFVAL *rbf0i = &miga[0]->rbfv[0]->rbfa[i]; |
1246 |
> |
const float w0i = rbf0i->peak; |
1247 |
> |
const double rad0i = R2ANG(rbf0i->crad); |
1248 |
> |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
1249 |
> |
for (j = 0; j < mtx_ncols(miga[0]); j++) { |
1250 |
> |
const float ma = miga[0]->mtx[mtx_ndx(miga[0],i,j)]; |
1251 |
> |
const RBFVAL *rbf1j; |
1252 |
> |
double rad1j, srad2; |
1253 |
> |
if (ma <= FTINY) |
1254 |
> |
continue; |
1255 |
> |
rbf1j = &miga[0]->rbfv[1]->rbfa[j]; |
1256 |
> |
rad1j = R2ANG(rbf1j->crad); |
1257 |
> |
srad2 = (1.-s)*(1.-t)*rad0i*rad0i + s*(1.-t)*rad1j*rad1j; |
1258 |
> |
ovec_from_pos(v1, rbf1j->gx, rbf1j->gy); |
1259 |
> |
geodesic(v1, v0, v1, s, GEOD_REL); |
1260 |
> |
for (k = 0; k < mtx_ncols(miga[2]); k++) { |
1261 |
> |
float mb = miga[1]->mtx[mtx_ndx(miga[1],j,k)]; |
1262 |
> |
float mc = miga[2]->mtx[mtx_ndx(miga[2],i,k)]; |
1263 |
> |
const RBFVAL *rbf2k; |
1264 |
> |
double rad2k; |
1265 |
> |
FVECT vout; |
1266 |
> |
int pos[2]; |
1267 |
> |
if ((mb <= FTINY) | (mc <= FTINY)) |
1268 |
> |
continue; |
1269 |
> |
rbf2k = &miga[2]->rbfv[1]->rbfa[k]; |
1270 |
> |
rbf->rbfa[n].peak = w0i * ma * (mb*mbfact + mc*mcfact); |
1271 |
> |
rad2k = R2ANG(rbf2k->crad); |
1272 |
> |
rbf->rbfa[n].crad = ANG2R(sqrt(srad2 + t*rad2k*rad2k)); |
1273 |
> |
ovec_from_pos(v2, rbf2k->gx, rbf2k->gy); |
1274 |
> |
geodesic(vout, v1, v2, t, GEOD_REL); |
1275 |
> |
pos_from_vec(pos, vout); |
1276 |
> |
rbf->rbfa[n].gx = pos[0]; |
1277 |
> |
rbf->rbfa[n].gy = pos[1]; |
1278 |
> |
++n; |
1279 |
> |
} |
1280 |
> |
} |
1281 |
> |
} |
1282 |
> |
rbf->vtotal = miga[0]->rbfv[0]->vtotal * (mbfact + mcfact); |
1283 |
> |
return(rbf); |
1284 |
|
} |
1285 |
+ |
|
1286 |
+ |
/* Interpolate and output isotropic BSDF data */ |
1287 |
+ |
static void |
1288 |
+ |
interp_isotropic() |
1289 |
+ |
{ |
1290 |
+ |
const int sqres = 1<<samp_order; |
1291 |
+ |
FILE *ofp = NULL; |
1292 |
+ |
char cmd[128]; |
1293 |
+ |
int ix, ox, oy; |
1294 |
+ |
FVECT ivec, ovec; |
1295 |
+ |
double bsdf; |
1296 |
+ |
#if DEBUG |
1297 |
+ |
fprintf(stderr, "Writing isotropic order %d ", samp_order); |
1298 |
+ |
if (pctcull >= 0) fprintf(stderr, "data with %d%% culling\n", pctcull); |
1299 |
+ |
else fputs("raw data\n", stderr); |
1300 |
|
#endif |
1301 |
+ |
if (pctcull >= 0) { /* begin output */ |
1302 |
+ |
sprintf(cmd, "rttree_reduce -h -a -fd -r 3 -t %d -g %d", |
1303 |
+ |
pctcull, samp_order); |
1304 |
+ |
fflush(stdout); |
1305 |
+ |
ofp = popen(cmd, "w"); |
1306 |
+ |
if (ofp == NULL) { |
1307 |
+ |
fputs("Cannot create pipe for rttree_reduce\n", stderr); |
1308 |
+ |
exit(1); |
1309 |
+ |
} |
1310 |
+ |
} else |
1311 |
+ |
fputs("{\n", stdout); |
1312 |
+ |
/* run through directions */ |
1313 |
+ |
for (ix = 0; ix < sqres/2; ix++) { |
1314 |
+ |
RBFNODE *rbf; |
1315 |
+ |
SDsquare2disk(ivec, (ix+.5)/sqres, .5); |
1316 |
+ |
ivec[2] = input_orient * |
1317 |
+ |
sqrt(1. - ivec[0]*ivec[0] - ivec[1]*ivec[1]); |
1318 |
+ |
rbf = advect_rbf(ivec); |
1319 |
+ |
for (ox = 0; ox < sqres; ox++) |
1320 |
+ |
for (oy = 0; oy < sqres; oy++) { |
1321 |
+ |
SDsquare2disk(ovec, (ox+.5)/sqres, (oy+.5)/sqres); |
1322 |
+ |
ovec[2] = output_orient * |
1323 |
+ |
sqrt(1. - ovec[0]*ovec[0] - ovec[1]*ovec[1]); |
1324 |
+ |
bsdf = eval_rbfrep(rbf, ovec) / fabs(ovec[2]); |
1325 |
+ |
if (pctcull >= 0) |
1326 |
+ |
fwrite(&bsdf, sizeof(bsdf), 1, ofp); |
1327 |
+ |
else |
1328 |
+ |
printf("\t%.3e\n", bsdf); |
1329 |
+ |
} |
1330 |
+ |
free(rbf); |
1331 |
+ |
} |
1332 |
+ |
if (pctcull >= 0) { /* finish output */ |
1333 |
+ |
if (pclose(ofp)) { |
1334 |
+ |
fprintf(stderr, "Error running '%s'\n", cmd); |
1335 |
+ |
exit(1); |
1336 |
+ |
} |
1337 |
+ |
} else { |
1338 |
+ |
for (ix = sqres*sqres*sqres/2; ix--; ) |
1339 |
+ |
fputs("\t0\n", stdout); |
1340 |
+ |
fputs("}\n", stdout); |
1341 |
+ |
} |
1342 |
+ |
} |
1343 |
|
|
1344 |
+ |
/* Interpolate and output anisotropic BSDF data */ |
1345 |
+ |
static void |
1346 |
+ |
interp_anisotropic() |
1347 |
+ |
{ |
1348 |
+ |
const int sqres = 1<<samp_order; |
1349 |
+ |
FILE *ofp = NULL; |
1350 |
+ |
char cmd[128]; |
1351 |
+ |
int ix, iy, ox, oy; |
1352 |
+ |
FVECT ivec, ovec; |
1353 |
+ |
double bsdf; |
1354 |
+ |
#if DEBUG |
1355 |
+ |
fprintf(stderr, "Writing anisotropic order %d ", samp_order); |
1356 |
+ |
if (pctcull >= 0) fprintf(stderr, "data with %d%% culling\n", pctcull); |
1357 |
+ |
else fputs("raw data\n", stderr); |
1358 |
+ |
#endif |
1359 |
+ |
if (pctcull >= 0) { /* begin output */ |
1360 |
+ |
sprintf(cmd, "rttree_reduce -h -a -fd -r 4 -t %d -g %d", |
1361 |
+ |
pctcull, samp_order); |
1362 |
+ |
fflush(stdout); |
1363 |
+ |
ofp = popen(cmd, "w"); |
1364 |
+ |
if (ofp == NULL) { |
1365 |
+ |
fputs("Cannot create pipe for rttree_reduce\n", stderr); |
1366 |
+ |
exit(1); |
1367 |
+ |
} |
1368 |
+ |
} else |
1369 |
+ |
fputs("{\n", stdout); |
1370 |
+ |
/* run through directions */ |
1371 |
+ |
for (ix = 0; ix < sqres; ix++) |
1372 |
+ |
for (iy = 0; iy < sqres; iy++) { |
1373 |
+ |
RBFNODE *rbf; |
1374 |
+ |
SDsquare2disk(ivec, (ix+.5)/sqres, (iy+.5)/sqres); |
1375 |
+ |
ivec[2] = input_orient * |
1376 |
+ |
sqrt(1. - ivec[0]*ivec[0] - ivec[1]*ivec[1]); |
1377 |
+ |
rbf = advect_rbf(ivec); |
1378 |
+ |
for (ox = 0; ox < sqres; ox++) |
1379 |
+ |
for (oy = 0; oy < sqres; oy++) { |
1380 |
+ |
SDsquare2disk(ovec, (ox+.5)/sqres, (oy+.5)/sqres); |
1381 |
+ |
ovec[2] = output_orient * |
1382 |
+ |
sqrt(1. - ovec[0]*ovec[0] - ovec[1]*ovec[1]); |
1383 |
+ |
bsdf = eval_rbfrep(rbf, ovec) / fabs(ovec[2]); |
1384 |
+ |
if (pctcull >= 0) |
1385 |
+ |
fwrite(&bsdf, sizeof(bsdf), 1, ofp); |
1386 |
+ |
else |
1387 |
+ |
printf("\t%.3e\n", bsdf); |
1388 |
+ |
} |
1389 |
+ |
free(rbf); |
1390 |
+ |
} |
1391 |
+ |
if (pctcull >= 0) { /* finish output */ |
1392 |
+ |
if (pclose(ofp)) { |
1393 |
+ |
fprintf(stderr, "Error running '%s'\n", cmd); |
1394 |
+ |
exit(1); |
1395 |
+ |
} |
1396 |
+ |
} else |
1397 |
+ |
fputs("}\n", stdout); |
1398 |
+ |
} |
1399 |
+ |
|
1400 |
|
#if 1 |
1401 |
+ |
/* Read in BSDF files and interpolate as tensor tree representation */ |
1402 |
+ |
int |
1403 |
+ |
main(int argc, char *argv[]) |
1404 |
+ |
{ |
1405 |
+ |
RBFNODE *rbf; |
1406 |
+ |
double bsdf; |
1407 |
+ |
int i; |
1408 |
+ |
|
1409 |
+ |
progname = argv[0]; |
1410 |
+ |
if (argc > 2 && !strcmp(argv[1], "-t")) { |
1411 |
+ |
pctcull = atoi(argv[2]); |
1412 |
+ |
argv += 2; argc -= 2; |
1413 |
+ |
} |
1414 |
+ |
if (argc < 3) { |
1415 |
+ |
fprintf(stderr, |
1416 |
+ |
"Usage: %s [-t pctcull] meas1.dat meas2.dat .. > bsdf.xml\n", |
1417 |
+ |
progname); |
1418 |
+ |
return(1); |
1419 |
+ |
} |
1420 |
+ |
for (i = 1; i < argc; i++) { /* compile measurements */ |
1421 |
+ |
if (!load_pabopto_meas(argv[i])) |
1422 |
+ |
return(1); |
1423 |
+ |
compute_radii(); |
1424 |
+ |
cull_values(); |
1425 |
+ |
make_rbfrep(); |
1426 |
+ |
} |
1427 |
+ |
build_mesh(); /* create interpolation */ |
1428 |
+ |
/* xml_prologue(); /* start XML output */ |
1429 |
+ |
if (single_plane_incident) /* resample dist. */ |
1430 |
+ |
interp_isotropic(); |
1431 |
+ |
else |
1432 |
+ |
interp_anisotropic(); |
1433 |
+ |
/* xml_epilogue(); /* finish XML output */ |
1434 |
+ |
return(0); |
1435 |
+ |
} |
1436 |
+ |
#else |
1437 |
|
/* Test main produces a Radiance model from the given input file */ |
1438 |
|
int |
1439 |
|
main(int argc, char *argv[]) |
1448 |
|
fprintf(stderr, "Usage: %s input.dat > output.rad\n", argv[0]); |
1449 |
|
return(1); |
1450 |
|
} |
1451 |
< |
if (!load_bsdf_meas(argv[1])) |
1451 |
> |
if (!load_pabopto_meas(argv[1])) |
1452 |
|
return(1); |
1453 |
|
|
1454 |
|
compute_radii(); |
1461 |
|
for (i = 0; i < GRIDRES; i++) |
1462 |
|
for (j = 0; j < GRIDRES; j++) |
1463 |
|
if (dsf_grid[i][j].vsum > .0f) { |
1464 |
< |
vec_from_pos(dir, i, j); |
1464 |
> |
ovec_from_pos(dir, i, j); |
1465 |
|
bsdf = dsf_grid[i][j].vsum / dir[2]; |
1466 |
|
if (dsf_grid[i][j].nval) { |
1467 |
|
printf("pink cone c%04d\n0\n0\n8\n", ++n); |
1472 |
|
dir[2]*(bsdf+.005)); |
1473 |
|
puts("\t.003\t0\n"); |
1474 |
|
} else { |
1475 |
< |
vec_from_pos(dir, i, j); |
1475 |
> |
ovec_from_pos(dir, i, j); |
1476 |
|
printf("yellow sphere s%04d\n0\n0\n", ++n); |
1477 |
|
printf("4 %.6g %.6g %.6g .0015\n\n", |
1478 |
|
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
1490 |
|
} |
1491 |
|
for (i = 0; i < GRIDRES; i++) |
1492 |
|
for (j = 0; j < GRIDRES; j++) { |
1493 |
< |
vec_from_pos(dir, i, j); |
1493 |
> |
ovec_from_pos(dir, i, j); |
1494 |
|
bsdf = eval_rbfrep(dsf_list, dir) / dir[2]; |
1495 |
|
fprintf(pfp, "%.8e %.8e %.8e\n", |
1496 |
|
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |