| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id$"; |
| 3 |
#endif |
| 4 |
|
| 5 |
/* |
| 6 |
* Compute sensor signal based on spatial sensitivity. |
| 7 |
* |
| 8 |
* Created Feb 2008 for Architectural Energy Corp. |
| 9 |
*/ |
| 10 |
|
| 11 |
#include "ray.h" |
| 12 |
#include "source.h" |
| 13 |
#include "view.h" |
| 14 |
#include "random.h" |
| 15 |
|
| 16 |
#define DEGREE (PI/180.) |
| 17 |
|
| 18 |
#define MAXNT 180 /* maximum number of theta divisions */ |
| 19 |
#define MAXNP 360 /* maximum number of phi divisions */ |
| 20 |
|
| 21 |
extern char *progname; /* global argv[0] */ |
| 22 |
extern int nowarn; /* don't report warnings? */ |
| 23 |
|
| 24 |
/* current sensor's perspective */ |
| 25 |
VIEW ourview = STDVIEW; |
| 26 |
|
| 27 |
unsigned long nsamps = 10000; /* desired number of initial samples */ |
| 28 |
unsigned long nssamps = 9000; /* number of super-samples */ |
| 29 |
int ndsamps = 16; /* number of direct samples */ |
| 30 |
int nprocs = 1; /* number of rendering processes */ |
| 31 |
|
| 32 |
float *sensor = NULL; /* current sensor data */ |
| 33 |
int sntp[2]; /* number of sensor theta and phi angles */ |
| 34 |
float maxtheta; /* maximum theta value for this sensor */ |
| 35 |
float tvals[MAXNT+1]; /* theta values (1-D table of 1-cos(t)) */ |
| 36 |
float *pvals = NULL; /* phi values (2-D table in radians) */ |
| 37 |
int ntheta = 0; /* polar angle divisions */ |
| 38 |
int nphi = 0; /* azimuthal angle divisions */ |
| 39 |
double gscale = 1.; /* global scaling value */ |
| 40 |
|
| 41 |
static void comp_sensor(char *sfile); |
| 42 |
|
| 43 |
static void |
| 44 |
print_defaults() |
| 45 |
{ |
| 46 |
printf("-n %-9d\t\t\t# number of processes\n", nprocs); |
| 47 |
printf("-rd %-9ld\t\t\t# ray directions\n", nsamps); |
| 48 |
/* printf("-rs %-9ld\t\t\t# ray super-samples\n", nssamps); */ |
| 49 |
printf("-dn %-9d\t\t\t# direct number of samples\n", ndsamps); |
| 50 |
printf("-vp %f %f %f\t# view point\n", |
| 51 |
ourview.vp[0], ourview.vp[1], ourview.vp[2]); |
| 52 |
printf("-vd %f %f %f\t# view direction\n", |
| 53 |
ourview.vdir[0], ourview.vdir[1], ourview.vdir[2]); |
| 54 |
printf("-vu %f %f %f\t# view up\n", |
| 55 |
ourview.vup[0], ourview.vup[1], ourview.vup[2]); |
| 56 |
printf("-vo %f\t\t\t# view fore clipping distance\n", ourview.vfore); |
| 57 |
print_rdefaults(); |
| 58 |
} |
| 59 |
|
| 60 |
int |
| 61 |
main( |
| 62 |
int argc, |
| 63 |
char *argv[] |
| 64 |
) |
| 65 |
{ |
| 66 |
int doheader = 1; |
| 67 |
int i, rval; |
| 68 |
|
| 69 |
progname = argv[0]; |
| 70 |
/* set up rendering defaults */ |
| 71 |
dstrsrc = 0.25; |
| 72 |
directrelay = 3; |
| 73 |
ambounce = 1; |
| 74 |
/* just asking defaults? */ |
| 75 |
if (argc == 2 && !strcmp(argv[1], "-defaults")) { |
| 76 |
print_defaults(); |
| 77 |
return(0); |
| 78 |
} |
| 79 |
/* check octree */ |
| 80 |
if (argc < 2 || argv[argc-1][0] == '-') |
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error(USER, "missing octree argument"); |
| 82 |
/* get options from command line */ |
| 83 |
for (i = 1; i < argc-1; i++) { |
| 84 |
while ((rval = expandarg(&argc, &argv, i)) > 0) |
| 85 |
; |
| 86 |
if (rval < 0) { |
| 87 |
sprintf(errmsg, "cannot expand '%s'", argv[i]); |
| 88 |
error(SYSTEM, errmsg); |
| 89 |
} |
| 90 |
if (argv[i][0] != '-') { /* process a sensor file */ |
| 91 |
if (!ray_pnprocs) { |
| 92 |
/* overriding options */ |
| 93 |
directvis = (ndsamps <= 0); |
| 94 |
do_irrad = 0; |
| 95 |
if (doheader) { /* print header */ |
| 96 |
printargs(argc, argv, stdout); |
| 97 |
fputformat("ascii", stdout); |
| 98 |
putchar('\n'); |
| 99 |
} |
| 100 |
/* start process(es) */ |
| 101 |
ray_pinit(argv[argc-1], nprocs); |
| 102 |
} |
| 103 |
comp_sensor(argv[i]); |
| 104 |
continue; |
| 105 |
} |
| 106 |
if (argv[i][1] == 'r') { /* sampling options */ |
| 107 |
if (argv[i][2] == 'd') |
| 108 |
nsamps = atol(argv[++i]); |
| 109 |
else if (argv[i][2] == 's') |
| 110 |
nssamps = atol(argv[++i]); |
| 111 |
else { |
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sprintf(errmsg, "bad option at '%s'", argv[i]); |
| 113 |
error(USER, errmsg); |
| 114 |
} |
| 115 |
continue; |
| 116 |
} |
| 117 |
/* direct component samples */ |
| 118 |
if (argv[i][1] == 'd' && argv[i][2] == 'n') { |
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ndsamps = atoi(argv[++i]); |
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continue; |
| 121 |
} |
| 122 |
if (argv[i][1] == 'v') { /* next sensor view */ |
| 123 |
if (argv[i][2] == 'f') { |
| 124 |
rval = viewfile(argv[++i], &ourview, NULL); |
| 125 |
if (rval < 0) { |
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sprintf(errmsg, |
| 127 |
"cannot open view file \"%s\"", |
| 128 |
argv[i]); |
| 129 |
error(SYSTEM, errmsg); |
| 130 |
} else if (rval == 0) { |
| 131 |
sprintf(errmsg, |
| 132 |
"bad view file \"%s\"", |
| 133 |
argv[i]); |
| 134 |
error(USER, errmsg); |
| 135 |
} |
| 136 |
continue; |
| 137 |
} |
| 138 |
rval = getviewopt(&ourview, argc-i, argv+i); |
| 139 |
if (rval >= 0) { |
| 140 |
i += rval; |
| 141 |
continue; |
| 142 |
} |
| 143 |
sprintf(errmsg, "bad view option at '%s'", argv[i]); |
| 144 |
error(USER, errmsg); |
| 145 |
} |
| 146 |
if (!strcmp(argv[i], "-w")) { /* turn off warnings */ |
| 147 |
nowarn = 1; |
| 148 |
continue; |
| 149 |
} |
| 150 |
if (ray_pnprocs) { |
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error(WARNING, |
| 152 |
"rendering options should appear before first sensor"); |
| 153 |
} else if (!strcmp(argv[i], "-defaults")) { |
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print_defaults(); |
| 155 |
return(0); |
| 156 |
} |
| 157 |
if (argv[i][1] == 'h') { /* header toggle */ |
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doheader = !doheader; |
| 159 |
continue; |
| 160 |
} |
| 161 |
if (!strcmp(argv[i], "-n")) { /* number of processes */ |
| 162 |
nprocs = atoi(argv[++i]); |
| 163 |
if (nprocs <= 0) |
| 164 |
error(USER, "illegal number of processes"); |
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continue; |
| 166 |
} |
| 167 |
rval = getrenderopt(argc-i, argv+i); |
| 168 |
if (rval < 0) { |
| 169 |
sprintf(errmsg, "bad render option at '%s'", argv[i]); |
| 170 |
error(USER, errmsg); |
| 171 |
} |
| 172 |
i += rval; |
| 173 |
} |
| 174 |
quit(0); |
| 175 |
} |
| 176 |
|
| 177 |
/* Load sensor sensitivities (first row and column are angles) */ |
| 178 |
static float * |
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load_sensor( |
| 180 |
int ntp[2], |
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char *sfile |
| 182 |
) |
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{ |
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char linebuf[8192]; |
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int nelem = 1000; |
| 186 |
float *sarr = (float *)malloc(sizeof(float)*nelem); |
| 187 |
FILE *fp; |
| 188 |
char *cp; |
| 189 |
int i; |
| 190 |
|
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fp = frlibopen(sfile); |
| 192 |
if (fp == NULL) { |
| 193 |
sprintf(errmsg, "cannot open sensor file '%s'", sfile); |
| 194 |
error(SYSTEM, errmsg); |
| 195 |
} |
| 196 |
fgets(linebuf, sizeof(linebuf), fp); |
| 197 |
if (!strncmp(linebuf, "Elevation ", 10)) |
| 198 |
fgets(linebuf, sizeof(linebuf), fp); |
| 199 |
/* get phi values */ |
| 200 |
sarr[0] = .0f; |
| 201 |
if (strncmp(linebuf, "degrees", 7)) { |
| 202 |
sprintf(errmsg, "Missing 'degrees' in sensor file '%s'", sfile); |
| 203 |
error(USER, errmsg); |
| 204 |
} |
| 205 |
cp = sskip(linebuf); |
| 206 |
ntp[1] = 0; |
| 207 |
for ( ; ; ) { |
| 208 |
sarr[ntp[1]+1] = atof(cp); |
| 209 |
cp = fskip(cp); |
| 210 |
if (cp == NULL) |
| 211 |
break; |
| 212 |
++ntp[1]; |
| 213 |
} |
| 214 |
ntp[0] = 0; /* get thetas + data */ |
| 215 |
while (fgets(linebuf, sizeof(linebuf), fp) != NULL) { |
| 216 |
++ntp[0]; |
| 217 |
if ((ntp[0]+1)*(ntp[1]+1) > nelem) { |
| 218 |
nelem += (nelem>>2) + ntp[1]; |
| 219 |
sarr = (float *)realloc((void *)sarr, |
| 220 |
sizeof(float)*nelem); |
| 221 |
if (sarr == NULL) |
| 222 |
error(SYSTEM, "out of memory in load_sensor()"); |
| 223 |
} |
| 224 |
cp = linebuf; |
| 225 |
i = ntp[0]*(ntp[1]+1); |
| 226 |
for ( ; ; ) { |
| 227 |
sarr[i] = atof(cp); |
| 228 |
cp = fskip(cp); |
| 229 |
if (cp == NULL) |
| 230 |
break; |
| 231 |
++i; |
| 232 |
} |
| 233 |
if (i == ntp[0]*(ntp[1]+1)) |
| 234 |
break; |
| 235 |
if (i != (ntp[0]+1)*(ntp[1]+1)) { |
| 236 |
sprintf(errmsg, |
| 237 |
"bad column count near line %d in sensor file '%s'", |
| 238 |
ntp[0]+1, sfile); |
| 239 |
error(USER, errmsg); |
| 240 |
} |
| 241 |
} |
| 242 |
nelem = i; |
| 243 |
fclose(fp); |
| 244 |
errmsg[0] = '\0'; /* sanity checks */ |
| 245 |
if (ntp[0] <= 0) |
| 246 |
sprintf(errmsg, "no data in sensor file '%s'", sfile); |
| 247 |
else if (fabs(sarr[ntp[1]+1]) > FTINY) |
| 248 |
sprintf(errmsg, "minimum theta must be 0 in sensor file '%s'", |
| 249 |
sfile); |
| 250 |
else if (fabs(sarr[1]) > FTINY) |
| 251 |
sprintf(errmsg, "minimum phi must be 0 in sensor file '%s'", |
| 252 |
sfile); |
| 253 |
else if (sarr[ntp[1]] <= FTINY) |
| 254 |
sprintf(errmsg, |
| 255 |
"maximum phi must be positive in sensor file '%s'", |
| 256 |
sfile); |
| 257 |
else if (sarr[ntp[0]*(ntp[1]+1)] <= FTINY) |
| 258 |
sprintf(errmsg, |
| 259 |
"maximum theta must be positive in sensor file '%s'", |
| 260 |
sfile); |
| 261 |
if (errmsg[0]) |
| 262 |
error(USER, errmsg); |
| 263 |
return((float *)realloc((void *)sarr, sizeof(float)*nelem)); |
| 264 |
} |
| 265 |
|
| 266 |
/* Initialize probability table */ |
| 267 |
static void |
| 268 |
init_ptable( |
| 269 |
char *sfile |
| 270 |
) |
| 271 |
{ |
| 272 |
int samptot = nsamps; |
| 273 |
float *rowp, *rowp1; |
| 274 |
double rowsum[MAXNT], rowomega[MAXNT]; |
| 275 |
double thdiv[MAXNT+1], phdiv[MAXNP+1]; |
| 276 |
double tsize, psize; |
| 277 |
double prob, frac, frac1; |
| 278 |
int i, j, t, p; |
| 279 |
/* free old table */ |
| 280 |
if (sensor != NULL) |
| 281 |
free((void *)sensor); |
| 282 |
if (pvals != NULL) |
| 283 |
free((void *)pvals); |
| 284 |
if (sfile == NULL || !*sfile) { |
| 285 |
pvals = NULL; |
| 286 |
ntheta = nphi = 0; |
| 287 |
return; |
| 288 |
} |
| 289 |
/* load sensor table */ |
| 290 |
sensor = load_sensor(sntp, sfile); |
| 291 |
if (sntp[0] > MAXNT) { |
| 292 |
sprintf(errmsg, "Too many theta rows in sensor file '%s'", |
| 293 |
sfile); |
| 294 |
error(INTERNAL, errmsg); |
| 295 |
} |
| 296 |
if (sntp[1] > MAXNP) { |
| 297 |
sprintf(errmsg, "Too many phi columns in sensor file '%s'", |
| 298 |
sfile); |
| 299 |
error(INTERNAL, errmsg); |
| 300 |
} |
| 301 |
/* compute boundary angles */ |
| 302 |
maxtheta = 1.5f*sensor[sntp[0]*(sntp[1]+1)] - |
| 303 |
0.5f*sensor[sntp[0]*sntp[1]]; |
| 304 |
thdiv[0] = .0; |
| 305 |
for (t = 1; t < sntp[0]; t++) |
| 306 |
thdiv[t] = DEGREE/2.*(sensor[t*(sntp[1]+1)] + |
| 307 |
sensor[(t+1)*(sntp[1]+1)]); |
| 308 |
thdiv[sntp[0]] = maxtheta*DEGREE; |
| 309 |
phdiv[0] = .0; |
| 310 |
for (p = 1; p < sntp[1]; p++) |
| 311 |
phdiv[p] = DEGREE/2.*(sensor[p] + sensor[p+1]); |
| 312 |
phdiv[sntp[1]] = 2.*PI; |
| 313 |
/* size our table */ |
| 314 |
tsize = 1. - cos(maxtheta*DEGREE); |
| 315 |
psize = PI*tsize/maxtheta; |
| 316 |
if (sntp[0]*sntp[1] < samptot) /* don't overdo resolution */ |
| 317 |
samptot = sntp[0]*sntp[1]; |
| 318 |
ntheta = (int)(sqrt(samptot*tsize/psize) + 0.5); |
| 319 |
if (ntheta > MAXNT) |
| 320 |
ntheta = MAXNT; |
| 321 |
nphi = samptot/ntheta; |
| 322 |
pvals = (float *)malloc(sizeof(float)*ntheta*(nphi+1)); |
| 323 |
if (pvals == NULL) |
| 324 |
error(SYSTEM, "out of memory in init_ptable()"); |
| 325 |
gscale = .0; /* compute our inverse table */ |
| 326 |
for (i = 0; i < sntp[0]; i++) { |
| 327 |
rowp = sensor + (i+1)*(sntp[1]+1) + 1; |
| 328 |
rowsum[i] = 0.; |
| 329 |
for (j = 0; j < sntp[1]; j++) |
| 330 |
rowsum[i] += *rowp++; |
| 331 |
rowomega[i] = cos(thdiv[i]) - cos(thdiv[i+1]); |
| 332 |
rowomega[i] *= 2.*PI / (double)sntp[1]; |
| 333 |
gscale += rowsum[i] * rowomega[i]; |
| 334 |
} |
| 335 |
tvals[0] = .0f; |
| 336 |
for (i = 1; i < ntheta; i++) { |
| 337 |
prob = (double)i / (double)ntheta; |
| 338 |
for (t = 0; t < sntp[0]; t++) |
| 339 |
if ((prob -= rowsum[t]*rowomega[t]/gscale) <= .0) |
| 340 |
break; |
| 341 |
if (t >= sntp[0]) |
| 342 |
error(INTERNAL, "code error 1 in init_ptable()"); |
| 343 |
frac = 1. + prob/(rowsum[t]*rowomega[t]/gscale); |
| 344 |
tvals[i] = 1. - ( (1.-frac)*cos(thdiv[t]) + |
| 345 |
frac*cos(thdiv[t+1]) ); |
| 346 |
pvals[i*(nphi+1)] = .0f; |
| 347 |
for (j = 1; j < nphi; j++) { |
| 348 |
prob = (double)j / (double)nphi; |
| 349 |
rowp = sensor + t*(sntp[1]+1) + 1; |
| 350 |
rowp1 = rowp + sntp[1]+1; |
| 351 |
for (p = 0; p < sntp[1]; p++) { |
| 352 |
if ((prob -= (1.-frac)*rowp[p]/rowsum[t-1] + |
| 353 |
frac*rowp1[p]/rowsum[t]) <= .0) |
| 354 |
break; |
| 355 |
if (p >= sntp[1]) |
| 356 |
error(INTERNAL, |
| 357 |
"code error 2 in init_ptable()"); |
| 358 |
frac1 = 1. + prob/((1.-frac)*rowp[p]/rowsum[t-1] |
| 359 |
+ frac*rowp1[p]/rowsum[t]); |
| 360 |
pvals[i*(nphi+1) + j] = (1.-frac1)*phdiv[p] + |
| 361 |
frac1*phdiv[p+1]; |
| 362 |
} |
| 363 |
} |
| 364 |
pvals[i*(nphi+1) + nphi] = (float)(2.*PI); |
| 365 |
} |
| 366 |
tvals[ntheta] = (float)tsize; |
| 367 |
} |
| 368 |
|
| 369 |
/* Get normalized direction from random variables in [0,1) range */ |
| 370 |
static void |
| 371 |
get_direc( |
| 372 |
FVECT dvec, |
| 373 |
double x, |
| 374 |
double y |
| 375 |
) |
| 376 |
{ |
| 377 |
double xfrac = x*ntheta; |
| 378 |
int tndx = (int)xfrac; |
| 379 |
double yfrac = y*nphi; |
| 380 |
int pndx = (int)yfrac; |
| 381 |
double rad, phi; |
| 382 |
FVECT dv; |
| 383 |
int i; |
| 384 |
|
| 385 |
xfrac -= (double)tndx; |
| 386 |
yfrac -= (double)pndx; |
| 387 |
pndx += tndx*(nphi+1); |
| 388 |
|
| 389 |
dv[2] = 1. - ((1.-xfrac)*tvals[tndx] + xfrac*tvals[tndx+1]); |
| 390 |
rad = sqrt(1. - dv[2]*dv[2]); |
| 391 |
phi = (1.-yfrac)*pvals[pndx] + yfrac*pvals[pndx+1]; |
| 392 |
dv[0] = -rad*sin(phi); |
| 393 |
dv[1] = rad*cos(phi); |
| 394 |
for (i = 3; i--; ) |
| 395 |
dvec[i] = dv[0]*ourview.hvec[i] + |
| 396 |
dv[1]*ourview.vvec[i] + |
| 397 |
dv[2]*ourview.vdir[i] ; |
| 398 |
} |
| 399 |
|
| 400 |
/* Get sensor value in the specified direction (normalized) */ |
| 401 |
static float |
| 402 |
sens_val( |
| 403 |
FVECT dvec |
| 404 |
) |
| 405 |
{ |
| 406 |
FVECT dv; |
| 407 |
float theta, phi; |
| 408 |
int t, p; |
| 409 |
|
| 410 |
dv[2] = DOT(dvec, ourview.vdir); |
| 411 |
theta = (float)((1./DEGREE) * acos(dv[2])); |
| 412 |
if (theta >= maxtheta) |
| 413 |
return(.0f); |
| 414 |
dv[0] = DOT(dvec, ourview.hvec); |
| 415 |
dv[1] = DOT(dvec, ourview.vvec); |
| 416 |
phi = (float)((1./DEGREE) * atan2(-dv[0], dv[1])); |
| 417 |
while (phi < .0f) phi += 360.f; |
| 418 |
t = (int)(theta/maxtheta * sntp[0]); |
| 419 |
p = (int)(phi*(1./360.) * sntp[1]); |
| 420 |
/* hack for non-uniform sensor grid */ |
| 421 |
while (t+1 < sntp[0] && theta >= sensor[(t+2)*(sntp[1]+1)]) |
| 422 |
++t; |
| 423 |
while (t-1 >= 0 && theta < sensor[t*(sntp[1]+1)]) |
| 424 |
--t; |
| 425 |
while (p+1 < sntp[1] && phi >= sensor[p+2]) |
| 426 |
++p; |
| 427 |
while (p-1 >= 0 && phi < sensor[p]) |
| 428 |
--p; |
| 429 |
return(sensor[t*(sntp[1]+1) + p + 1]); |
| 430 |
} |
| 431 |
|
| 432 |
/* Compute sensor output */ |
| 433 |
static void |
| 434 |
comp_sensor( |
| 435 |
char *sfile |
| 436 |
) |
| 437 |
{ |
| 438 |
int ndirs = dstrsrc > FTINY ? ndsamps : |
| 439 |
ndsamps > 0 ? 1 : 0; |
| 440 |
char *err; |
| 441 |
int nt, np; |
| 442 |
COLOR vsum; |
| 443 |
RAY rr; |
| 444 |
int i, j; |
| 445 |
/* set view */ |
| 446 |
ourview.type = VT_ANG; |
| 447 |
ourview.horiz = ourview.vert = 180.; |
| 448 |
ourview.hoff = ourview.voff = .0; |
| 449 |
err = setview(&ourview); |
| 450 |
if (err != NULL) |
| 451 |
error(USER, err); |
| 452 |
/* assign probability table */ |
| 453 |
init_ptable(sfile); |
| 454 |
/* do Monte Carlo sampling */ |
| 455 |
setcolor(vsum, .0f, .0f, .0f); |
| 456 |
nt = (int)(sqrt((double)nsamps*ntheta/nphi) + .5); |
| 457 |
np = nsamps/nt; |
| 458 |
VCOPY(rr.rorg, ourview.vp); |
| 459 |
rr.rmax = .0; |
| 460 |
for (i = 0; i < nt; i++) |
| 461 |
for (j =0; j < np; j++) { |
| 462 |
get_direc(rr.rdir, (i+frandom())/nt, |
| 463 |
(j + frandom())/np); |
| 464 |
rayorigin(&rr, PRIMARY, NULL, NULL); |
| 465 |
if (ray_pqueue(&rr) == 1) |
| 466 |
addcolor(vsum, rr.rcol); |
| 467 |
} |
| 468 |
/* finish MC calculation */ |
| 469 |
while (ray_presult(&rr, 0) > 0) |
| 470 |
addcolor(vsum, rr.rcol); |
| 471 |
scalecolor(vsum, gscale/(nt*np)); |
| 472 |
/* compute direct component */ |
| 473 |
for (i = ndirs; i-- > 0; ) { |
| 474 |
SRCINDEX si; |
| 475 |
initsrcindex(&si); |
| 476 |
while (srcray(&rr, NULL, &si)) { |
| 477 |
double d = sens_val(rr.rdir); |
| 478 |
if (d <= FTINY) |
| 479 |
continue; |
| 480 |
d *= si.dom/ndirs; |
| 481 |
scalecolor(rr.rcoef, d); |
| 482 |
if (ray_pqueue(&rr) == 1) { |
| 483 |
multcolor(rr.rcol, rr.rcoef); |
| 484 |
addcolor(vsum, rr.rcol); |
| 485 |
} |
| 486 |
} |
| 487 |
} |
| 488 |
/* finish direct calculation */ |
| 489 |
while (ray_presult(&rr, 0) > 0) { |
| 490 |
multcolor(rr.rcol, rr.rcoef); |
| 491 |
addcolor(vsum, rr.rcol); |
| 492 |
} |
| 493 |
/* print our result */ |
| 494 |
printf("%.4e %.4e %.4e\n", colval(vsum,RED), |
| 495 |
colval(vsum,GRN), colval(vsum,BLU)); |
| 496 |
} |
