| 69 |
|
copycolor(hp->acoef, ac); |
| 70 |
|
d = 1.0/(n*n); |
| 71 |
|
scalecolor(hp->acoef, d); |
| 72 |
< |
/* make tangent axes */ |
| 73 |
< |
hp->uy[0] = hp->uy[1] = hp->uy[2] = 0.0; |
| 72 |
> |
/* make tangent plane axes */ |
| 73 |
> |
hp->uy[0] = 0.1 - 0.2*frandom(); |
| 74 |
> |
hp->uy[1] = 0.1 - 0.2*frandom(); |
| 75 |
> |
hp->uy[2] = 0.1 - 0.2*frandom(); |
| 76 |
|
for (i = 0; i < 3; i++) |
| 77 |
|
if (r->ron[i] < 0.6 && r->ron[i] > -0.6) |
| 78 |
|
break; |
| 87 |
|
} |
| 88 |
|
|
| 89 |
|
|
| 90 |
< |
static int |
| 90 |
> |
static struct s_ambsamp * |
| 91 |
|
ambsample( /* sample an ambient direction */ |
| 92 |
|
AMBHEMI *hp, |
| 93 |
|
int i, |
| 96 |
|
{ |
| 97 |
|
struct s_ambsamp *ap = &ambsamp(hp,i,j); |
| 98 |
|
RAY ar; |
| 97 |
– |
int hlist[3]; |
| 99 |
|
double spt[2], zd; |
| 100 |
|
int ii; |
| 101 |
|
/* ambient coefficient for weight */ |
| 106 |
|
if (rayorigin(&ar, AMBIENT, hp->rp, ar.rcoef) < 0) { |
| 107 |
|
setcolor(ap->v, 0., 0., 0.); |
| 108 |
|
VCOPY(ap->p, hp->rp->rop); |
| 109 |
< |
return(0); /* no sample taken */ |
| 109 |
> |
return(NULL); /* no sample taken */ |
| 110 |
|
} |
| 111 |
|
if (ambacc > FTINY) { |
| 112 |
|
multcolor(ar.rcoef, hp->acoef); |
| 114 |
|
} |
| 115 |
|
/* generate hemispherical sample */ |
| 116 |
|
SDsquare2disk(spt, (i+.1+.8*frandom())/hp->ns, |
| 117 |
< |
(j+.1+.8*frandom())/hp->ns); |
| 117 |
> |
(j+.1+.8*frandom())/hp->ns ); |
| 118 |
|
zd = sqrt(1. - spt[0]*spt[0] - spt[1]*spt[1]); |
| 119 |
|
for (ii = 3; ii--; ) |
| 120 |
|
ar.rdir[ii] = spt[0]*hp->ux[ii] + |
| 127 |
|
multcolor(ar.rcol, ar.rcoef); /* apply coefficient */ |
| 128 |
|
copycolor(ap->v, ar.rcol); |
| 129 |
|
if (ar.rt > 20.0*maxarad) /* limit vertex distance */ |
| 130 |
< |
ar.rt = 20.0*maxarad; |
| 131 |
< |
VSUM(ap->p, ar.rorg, ar.rdir, ar.rt); |
| 132 |
< |
return(1); |
| 130 |
> |
VSUM(ap->p, ar.rorg, ar.rdir, 20.0*maxarad); |
| 131 |
> |
else |
| 132 |
> |
VCOPY(ap->p, ar.rop); |
| 133 |
> |
return(ap); |
| 134 |
|
} |
| 135 |
|
|
| 136 |
|
|
| 146 |
|
VSUB(ftp->e_i, ap1, ap0); |
| 147 |
|
VCROSS(v1, ftp->e_i, ftp->r_i); |
| 148 |
|
ftp->nf = 1.0/DOT(v1,v1); |
| 147 |
– |
VCROSS(v1, ftp->r_i, ftp->r_i1); |
| 148 |
– |
ftp->I1 = sqrt(DOT(v1,v1)*ftp->nf); |
| 149 |
|
dot_e = DOT(ftp->e_i,ftp->e_i); |
| 150 |
|
dot_er = DOT(ftp->e_i, ftp->r_i); |
| 151 |
|
dot_r = DOT(ftp->r_i,ftp->r_i); |
| 152 |
|
dot_r1 = DOT(ftp->r_i1,ftp->r_i1); |
| 153 |
+ |
ftp->I1 = acos( DOT(ftp->r_i, ftp->r_i1) / sqrt(dot_r*dot_r1) ) * |
| 154 |
+ |
sqrt( ftp->nf ); |
| 155 |
|
ftp->I2 = ( DOT(ftp->e_i, ftp->r_i1)/dot_r1 - dot_er/dot_r + |
| 156 |
|
dot_e*ftp->I1 )*0.5*ftp->nf; |
| 157 |
< |
ftp->J2 = 0.25*ftp->nf*( 1.0/dot_r - 1.0/dot_r1 ) - |
| 157 |
> |
ftp->J2 = 0.5/dot_e*( 1.0/dot_r - 1.0/dot_r1 ) - |
| 158 |
|
dot_er/dot_e*ftp->I2; |
| 159 |
|
} |
| 160 |
|
|
| 161 |
|
|
| 162 |
< |
/* Compose matrix from two vectors */ |
| 162 |
> |
/* Compose 3x3 matrix from two vectors */ |
| 163 |
|
static void |
| 164 |
|
compose_matrix(FVECT mat[3], FVECT va, FVECT vb) |
| 165 |
|
{ |
| 187 |
|
d3 = 1.0/DOT(ftp->e_i,ftp->e_i); |
| 188 |
|
d4 = DOT(ftp->e_i, ftp->r_i); |
| 189 |
|
I3 = 0.25*ftp->nf*( DOT(ftp->e_i, ftp->r_i1)*d2*d2 - d4*d1*d1 + |
| 190 |
< |
3.0*ftp->I2*d3 ); |
| 190 |
> |
3.0/d3*ftp->I2 ); |
| 191 |
|
J3 = 0.25*d3*(d1*d1 - d2*d2) - d4*d3*I3; |
| 192 |
|
K3 = d3*(ftp->I2 - I3/d1 - 2.0*d4*J3); |
| 193 |
|
/* intermediate matrices */ |
| 194 |
|
VCROSS(v1, nrm, ftp->e_i); |
| 195 |
|
for (j = 3; j--; ) |
| 196 |
< |
v2[i] = ftp->I2*ftp->r_i[j] + ftp->J2*ftp->e_i[j]; |
| 196 |
> |
v2[j] = ftp->I2*ftp->r_i[j] + ftp->J2*ftp->e_i[j]; |
| 197 |
|
compose_matrix(m1, v1, v2); |
| 198 |
|
compose_matrix(m2, ftp->r_i, ftp->r_i); |
| 199 |
|
compose_matrix(m3, ftp->e_i, ftp->e_i); |
| 288 |
|
|
| 289 |
|
VSUB(vec, ap1->p, orig); |
| 290 |
|
d2best = DOT(vec,vec); |
| 291 |
< |
vback = ap1->v[CIEY]; |
| 291 |
> |
vback = colval(ap1->v,CIEY); |
| 292 |
|
VSUB(vec, ap2->p, orig); |
| 293 |
|
d2 = DOT(vec,vec); |
| 294 |
|
if (d2 > d2best) { |
| 295 |
|
d2best = d2; |
| 296 |
< |
vback = ap2->v[CIEY]; |
| 296 |
> |
vback = colval(ap2->v,CIEY); |
| 297 |
|
} |
| 298 |
|
VSUB(vec, ap3->p, orig); |
| 299 |
|
d2 = DOT(vec,vec); |
| 300 |
|
if (d2 > d2best) |
| 301 |
< |
return(ap3->v[CIEY]); |
| 301 |
> |
return(colval(ap3->v,CIEY)); |
| 302 |
|
return(vback); |
| 303 |
|
} |
| 304 |
|
|
| 321 |
|
hess2[1][0] = DOT(uv[1], a); |
| 322 |
|
hess2[1][1] = DOT(uv[1], b); |
| 323 |
|
/* compute eigenvalues */ |
| 324 |
< |
if (quadratic(evalue, 1.0, -hess2[0][0]-hess2[1][1], |
| 324 |
> |
if ( quadratic(evalue, 1.0, -hess2[0][0]-hess2[1][1], |
| 325 |
|
hess2[0][0]*hess2[1][1]-hess2[0][1]*hess2[1][0]) != 2 || |
| 326 |
< |
(evalue[0] = fabs(evalue[0])) <= FTINY*FTINY*FTINY || |
| 327 |
< |
(evalue[1] = fabs(evalue[1])) <= FTINY*FTINY*FTINY) |
| 326 |
> |
(evalue[0] = fabs(evalue[0])) <= FTINY*FTINY || |
| 327 |
> |
(evalue[1] = fabs(evalue[1])) <= FTINY*FTINY ) |
| 328 |
|
error(INTERNAL, "bad eigenvalue calculation"); |
| 329 |
|
|
| 330 |
|
if (evalue[0] > evalue[1]) { |
| 331 |
< |
ra[0] = 1.0/sqrt(sqrt(evalue[0])); |
| 332 |
< |
ra[1] = 1.0/sqrt(sqrt(evalue[1])); |
| 331 |
> |
ra[0] = sqrt(sqrt(4.0/evalue[0])); |
| 332 |
> |
ra[1] = sqrt(sqrt(4.0/evalue[1])); |
| 333 |
|
slope1 = evalue[1]; |
| 334 |
|
} else { |
| 335 |
< |
ra[0] = 1.0/sqrt(sqrt(evalue[1])); |
| 336 |
< |
ra[1] = 1.0/sqrt(sqrt(evalue[0])); |
| 335 |
> |
ra[0] = sqrt(sqrt(4.0/evalue[1])); |
| 336 |
> |
ra[1] = sqrt(sqrt(4.0/evalue[0])); |
| 337 |
|
slope1 = evalue[0]; |
| 338 |
|
} |
| 339 |
|
/* compute unit eigenvectors */ |
| 354 |
|
ambHessian( /* anisotropic radii & pos. gradient */ |
| 355 |
|
AMBHEMI *hp, |
| 356 |
|
FVECT uv[2], /* returned */ |
| 357 |
< |
float ra[2], /* returned */ |
| 358 |
< |
float pg[2] /* returned */ |
| 357 |
> |
float ra[2], /* returned (optional) */ |
| 358 |
> |
float pg[2] /* returned (optional) */ |
| 359 |
|
) |
| 360 |
|
{ |
| 361 |
|
static char memerrmsg[] = "out of memory in ambHessian()"; |
| 370 |
|
VCOPY(uv[1], hp->uy); |
| 371 |
|
/* clock-wise vertex traversal from sample POV */ |
| 372 |
|
if (ra != NULL) { /* initialize Hessian row buffer */ |
| 373 |
< |
hessrow = (FVECT (*)[3])malloc(sizeof(FVECT)*3*hp->ns); |
| 373 |
> |
hessrow = (FVECT (*)[3])malloc(sizeof(FVECT)*3*(hp->ns-1)); |
| 374 |
|
if (hessrow == NULL) |
| 375 |
|
error(SYSTEM, memerrmsg); |
| 376 |
|
memset(hessian, 0, sizeof(hessian)); |
| 377 |
|
} else if (pg == NULL) /* bogus call? */ |
| 378 |
|
return; |
| 379 |
|
if (pg != NULL) { /* initialize form factor row buffer */ |
| 380 |
< |
gradrow = (FVECT *)malloc(sizeof(FVECT)*hp->ns); |
| 380 |
> |
gradrow = (FVECT *)malloc(sizeof(FVECT)*(hp->ns-1)); |
| 381 |
|
if (gradrow == NULL) |
| 382 |
|
error(SYSTEM, memerrmsg); |
| 383 |
|
memset(gradient, 0, sizeof(gradient)); |
| 454 |
|
|
| 455 |
|
if (ra != NULL) /* extract eigenvectors & radii */ |
| 456 |
|
eigenvectors(uv, ra, hessian); |
| 457 |
< |
if (pg != NULL) { /* project position gradient */ |
| 458 |
< |
pg[0] = DOT(gradient, uv[0]); |
| 459 |
< |
pg[1] = DOT(gradient, uv[1]); |
| 457 |
> |
if (pg != NULL) { /* tangential position gradient/PI */ |
| 458 |
> |
pg[0] = DOT(gradient, uv[0]) / PI; |
| 459 |
> |
pg[1] = DOT(gradient, uv[1]) / PI; |
| 460 |
|
} |
| 461 |
|
} |
| 462 |
|
|
| 466 |
|
ambdirgrad(AMBHEMI *hp, FVECT uv[2], float dg[2]) |
| 467 |
|
{ |
| 468 |
|
struct s_ambsamp *ap; |
| 469 |
+ |
double dgsum[2]; |
| 470 |
|
int n; |
| 471 |
+ |
FVECT vd; |
| 472 |
+ |
double gfact; |
| 473 |
|
|
| 474 |
< |
dg[0] = dg[1] = 0; |
| 474 |
> |
dgsum[0] = dgsum[1] = 0.0; /* sum values times -tan(theta) */ |
| 475 |
|
for (ap = hp->sa, n = hp->ns*hp->ns; n--; ap++) { |
| 471 |
– |
FVECT vd; |
| 472 |
– |
double gfact; |
| 476 |
|
/* use vector for azimuth + 90deg */ |
| 477 |
|
VSUB(vd, ap->p, hp->rp->rop); |
| 478 |
< |
/* brightness with tangent factor */ |
| 479 |
< |
gfact = ap->v[CIEY] / DOT(hp->rp->ron, vd); |
| 480 |
< |
/* sine = proj_radius/vd_length */ |
| 481 |
< |
dg[0] -= DOT(uv[1], vd) * gfact ; |
| 482 |
< |
dg[1] += DOT(uv[0], vd) * gfact; |
| 478 |
> |
/* brightness over cosine factor */ |
| 479 |
> |
gfact = colval(ap->v,CIEY) / DOT(hp->rp->ron, vd); |
| 480 |
> |
/* -sine = -proj_radius/vd_length */ |
| 481 |
> |
dgsum[0] += DOT(uv[1], vd) * gfact; |
| 482 |
> |
dgsum[1] -= DOT(uv[0], vd) * gfact; |
| 483 |
|
} |
| 484 |
+ |
dg[0] = dgsum[0] / (hp->ns*hp->ns); |
| 485 |
+ |
dg[1] = dgsum[1] / (hp->ns*hp->ns); |
| 486 |
|
} |
| 487 |
|
|
| 488 |
|
|
| 497 |
|
float dg[2] /* returned (optional) */ |
| 498 |
|
) |
| 499 |
|
{ |
| 500 |
+ |
AMBHEMI *hp = inithemi(rcol, r, wt); |
| 501 |
|
int cnt = 0; |
| 502 |
|
FVECT my_uv[2]; |
| 497 |
– |
AMBHEMI *hp; |
| 503 |
|
double d, acol[3]; |
| 504 |
|
struct s_ambsamp *ap; |
| 505 |
|
int i, j; |
| 506 |
< |
/* initialize */ |
| 507 |
< |
if ((hp = inithemi(rcol, r, wt)) == NULL) |
| 506 |
> |
/* check/initialize */ |
| 507 |
> |
if (hp == NULL) |
| 508 |
|
return(0); |
| 509 |
|
if (uv != NULL) |
| 510 |
|
memset(uv, 0, sizeof(FVECT)*2); |
| 518 |
|
acol[0] = acol[1] = acol[2] = 0.0; |
| 519 |
|
for (i = hp->ns; i--; ) |
| 520 |
|
for (j = hp->ns; j--; ) |
| 521 |
< |
if (ambsample(hp, i, j)) { |
| 517 |
< |
ap = &ambsamp(hp,i,j); |
| 521 |
> |
if ((ap = ambsample(hp, i, j)) != NULL) { |
| 522 |
|
addcolor(acol, ap->v); |
| 523 |
|
++cnt; |
| 524 |
|
} |
| 527 |
|
free(hp); |
| 528 |
|
return(0); /* no valid samples */ |
| 529 |
|
} |
| 530 |
< |
d = 1.0 / cnt; /* final indirect irradiance/PI */ |
| 527 |
< |
acol[0] *= d; acol[1] *= d; acol[2] *= d; |
| 528 |
< |
copycolor(rcol, acol); |
| 530 |
> |
copycolor(rcol, acol); /* final indirect irradiance/PI */ |
| 531 |
|
if (cnt < hp->ns*hp->ns || /* incomplete sampling? */ |
| 532 |
|
(ra == NULL) & (pg == NULL) & (dg == NULL)) { |
| 533 |
|
free(hp); |
| 534 |
|
return(-1); /* no radius or gradient calc. */ |
| 535 |
|
} |
| 536 |
< |
d = 0.01 * bright(rcol); /* add in 1% before Hessian comp. */ |
| 537 |
< |
if (d < FTINY) d = FTINY; |
| 538 |
< |
ap = hp->sa; /* using Y channel from here on... */ |
| 536 |
> |
multcolor(acol, hp->acoef); /* normalize Y values */ |
| 537 |
> |
if ((d = bright(acol)) > FTINY) |
| 538 |
> |
d = 1.0/d; |
| 539 |
> |
else |
| 540 |
> |
d = 0.0; |
| 541 |
> |
ap = hp->sa; /* relative Y channel from here on... */ |
| 542 |
|
for (i = hp->ns*hp->ns; i--; ap++) |
| 543 |
< |
colval(ap->v,CIEY) = bright(ap->v) + d; |
| 543 |
> |
colval(ap->v,CIEY) = bright(ap->v)*d + 0.0314; |
| 544 |
|
|
| 545 |
|
if (uv == NULL) /* make sure we have axis pointers */ |
| 546 |
|
uv = my_uv; |
| 547 |
|
/* compute radii & pos. gradient */ |
| 548 |
|
ambHessian(hp, uv, ra, pg); |
| 549 |
+ |
|
| 550 |
|
if (dg != NULL) /* compute direction gradient */ |
| 551 |
|
ambdirgrad(hp, uv, dg); |
| 552 |
< |
if (ra != NULL) { /* adjust/clamp radii */ |
| 553 |
< |
d = sqrt(sqrt((4.0/PI)*bright(rcol)/wt)); |
| 554 |
< |
if ((ra[0] *= d) > maxarad) |
| 555 |
< |
ra[0] = maxarad; |
| 552 |
> |
|
| 553 |
> |
if (ra != NULL) { /* scale/clamp radii */ |
| 554 |
> |
if (ra[0] < minarad) { |
| 555 |
> |
ra[0] = minarad; |
| 556 |
> |
if (ra[1] < minarad) |
| 557 |
> |
ra[1] = minarad; |
| 558 |
> |
} |
| 559 |
> |
ra[0] *= d = 1.0/sqrt(sqrt(wt)); |
| 560 |
|
if ((ra[1] *= d) > 2.0*ra[0]) |
| 561 |
|
ra[1] = 2.0*ra[0]; |
| 562 |
+ |
if (ra[1] > maxarad) { |
| 563 |
+ |
ra[1] = maxarad; |
| 564 |
+ |
if (ra[0] > maxarad) |
| 565 |
+ |
ra[0] = maxarad; |
| 566 |
+ |
} |
| 567 |
|
} |
| 568 |
|
free(hp); /* clean up and return */ |
| 569 |
|
return(1); |