| 18 |
|
#include <string.h> |
| 19 |
|
#include <math.h> |
| 20 |
|
#include "bsdfrep.h" |
| 21 |
+ |
|
| 22 |
+ |
#ifndef NEIGH_FACT2 |
| 23 |
+ |
#define NEIGH_FACT2 0.1 /* empirical neighborhood distance weight */ |
| 24 |
+ |
#endif |
| 25 |
|
/* number of processes to run */ |
| 26 |
|
int nprocs = 1; |
| 27 |
|
/* number of children (-1 in child) */ |
| 139 |
|
|
| 140 |
|
#endif /* ! _WIN32 */ |
| 141 |
|
|
| 142 |
+ |
/* Compute normalized distribution scattering functions for comparison */ |
| 143 |
+ |
static void |
| 144 |
+ |
compute_nDSFs(const RBFNODE *rbf0, const RBFNODE *rbf1) |
| 145 |
+ |
{ |
| 146 |
+ |
const double nf0 = (GRIDRES*GRIDRES) / rbf0->vtotal; |
| 147 |
+ |
const double nf1 = (GRIDRES*GRIDRES) / rbf1->vtotal; |
| 148 |
+ |
int x, y; |
| 149 |
+ |
FVECT dv; |
| 150 |
+ |
|
| 151 |
+ |
for (x = GRIDRES; x--; ) |
| 152 |
+ |
for (y = GRIDRES; y--; ) { |
| 153 |
+ |
ovec_from_pos(dv, x, y); /* cube root (brightness) */ |
| 154 |
+ |
dsf_grid[x][y].val[0] = pow(nf0*eval_rbfrep(rbf0, dv), .3333); |
| 155 |
+ |
dsf_grid[x][y].val[1] = pow(nf1*eval_rbfrep(rbf1, dv), .3333); |
| 156 |
+ |
} |
| 157 |
+ |
} |
| 158 |
+ |
|
| 159 |
+ |
/* Compute neighborhood distance-squared (dissimilarity) */ |
| 160 |
+ |
static double |
| 161 |
+ |
neighborhood_dist2(int x0, int y0, int x1, int y1) |
| 162 |
+ |
{ |
| 163 |
+ |
int rad = GRIDRES>>5; |
| 164 |
+ |
double sum2 = 0.; |
| 165 |
+ |
double d; |
| 166 |
+ |
int p[4]; |
| 167 |
+ |
int i, j; |
| 168 |
+ |
/* check radius */ |
| 169 |
+ |
p[0] = x0; p[1] = y0; p[2] = x1; p[3] = y1; |
| 170 |
+ |
for (i = 4; i--; ) { |
| 171 |
+ |
if (p[i] < rad) rad = p[i]; |
| 172 |
+ |
if (GRIDRES-1-p[i] < rad) rad = GRIDRES-1-p[i]; |
| 173 |
+ |
} |
| 174 |
+ |
for (i = -rad; i <= rad; i++) |
| 175 |
+ |
for (j = -rad; j <= rad; j++) { |
| 176 |
+ |
d = dsf_grid[x0+i][y0+j].val[0] - |
| 177 |
+ |
dsf_grid[x1+i][y1+j].val[1]; |
| 178 |
+ |
sum2 += d*d; |
| 179 |
+ |
} |
| 180 |
+ |
return(sum2 / (4*rad*(rad+1) + 1)); |
| 181 |
+ |
} |
| 182 |
+ |
|
| 183 |
|
/* Comparison routine needed for sorting price row */ |
| 184 |
|
static int |
| 185 |
|
msrt_cmp(void *b, const void *p1, const void *p2) |
| 200 |
|
FVECT *vto = (FVECT *)malloc(sizeof(FVECT) * to_rbf->nrbf); |
| 201 |
|
int i, j; |
| 202 |
|
|
| 203 |
+ |
compute_nDSFs(from_rbf, to_rbf); |
| 204 |
|
pm->nrows = from_rbf->nrbf; |
| 205 |
|
pm->ncols = to_rbf->nrbf; |
| 206 |
|
pm->price = (float *)malloc(sizeof(float) * pm->nrows*pm->ncols); |
| 222 |
|
pm->prow = pricerow(pm,i); |
| 223 |
|
srow = psortrow(pm,i); |
| 224 |
|
for (j = to_rbf->nrbf; j--; ) { |
| 225 |
< |
double d; /* quadratic cost function */ |
| 226 |
< |
d = DOT(vfrom, vto[j]); |
| 181 |
< |
d = (d >= 1.) ? .0 : acos(d); |
| 225 |
> |
double d; /* quadratic cost function */ |
| 226 |
> |
d = Acos(DOT(vfrom, vto[j])); |
| 227 |
|
pm->prow[j] = d*d; |
| 228 |
|
d = R2ANG(to_rbf->rbfa[j].crad) - from_ang; |
| 229 |
< |
pm->prow[j] += d*d; |
| 229 |
> |
pm->prow[j] += d*d; |
| 230 |
> |
/* neighborhood difference */ |
| 231 |
> |
pm->prow[j] += NEIGH_FACT2 * neighborhood_dist2( |
| 232 |
> |
from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy, |
| 233 |
> |
to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy ); |
| 234 |
|
srow[j] = j; |
| 235 |
|
} |
| 236 |
|
qsort_r(srow, pm->ncols, sizeof(short), pm, &msrt_cmp); |
| 265 |
|
return(total_cost); |
| 266 |
|
} |
| 267 |
|
|
| 268 |
< |
/* Compare entries by moving price */ |
| 268 |
> |
typedef struct { |
| 269 |
> |
short s, d; /* source and destination */ |
| 270 |
> |
float dc; /* discount to push inventory */ |
| 271 |
> |
} ROWSENT; /* row sort entry */ |
| 272 |
> |
|
| 273 |
> |
/* Compare entries by discounted moving price */ |
| 274 |
|
static int |
| 275 |
|
rmovcmp(void *b, const void *p1, const void *p2) |
| 276 |
|
{ |
| 277 |
|
PRICEMAT *pm = (PRICEMAT *)b; |
| 278 |
< |
const short *ij1 = (const short *)p1; |
| 279 |
< |
const short *ij2 = (const short *)p2; |
| 280 |
< |
float price_diff; |
| 278 |
> |
const ROWSENT *re1 = (const ROWSENT *)p1; |
| 279 |
> |
const ROWSENT *re2 = (const ROWSENT *)p2; |
| 280 |
> |
double price_diff; |
| 281 |
|
|
| 282 |
< |
if (ij1[1] < 0) return(ij2[1] >= 0); |
| 283 |
< |
if (ij2[1] < 0) return(-1); |
| 284 |
< |
price_diff = pricerow(pm,ij1[0])[ij1[1]] - pricerow(pm,ij2[0])[ij2[1]]; |
| 282 |
> |
if (re1->d < 0) return(re2->d >= 0); |
| 283 |
> |
if (re2->d < 0) return(-1); |
| 284 |
> |
price_diff = re1->dc*pricerow(pm,re1->s)[re1->d] - |
| 285 |
> |
re2->dc*pricerow(pm,re2->s)[re2->d]; |
| 286 |
|
if (price_diff > 0) return(1); |
| 287 |
|
if (price_diff < 0) return(-1); |
| 288 |
|
return(0); |
| 296 |
|
const double maxamt = 1./(double)pm->ncols; |
| 297 |
|
const double minamt = maxamt*1e-4; |
| 298 |
|
double *src_cost; |
| 299 |
< |
short (*rord)[2]; |
| 299 |
> |
ROWSENT *rord; |
| 300 |
|
struct { |
| 301 |
|
int s, d; /* source and destination */ |
| 302 |
< |
double price; /* price estimate per amount moved */ |
| 302 |
> |
double price; /* cost per amount moved */ |
| 303 |
|
double amt; /* amount we can move */ |
| 304 |
|
} cur, best; |
| 305 |
|
int r2check, i, ri; |
| 308 |
|
* destination price implies that another source is closer, so |
| 309 |
|
* we can hold off considering more expensive options until |
| 310 |
|
* some other (hopefully better) moves have been made. |
| 311 |
+ |
* A discount based on source remaining is supposed to prioritize |
| 312 |
+ |
* movement from large lobes, but it doesn't seem to do much, |
| 313 |
+ |
* so we have it set to 1.0 at the moment. |
| 314 |
|
*/ |
| 315 |
+ |
#define discount(qr) 1.0 |
| 316 |
|
/* most promising row order */ |
| 317 |
< |
rord = (short (*)[2])malloc(sizeof(short)*2*pm->nrows); |
| 317 |
> |
rord = (ROWSENT *)malloc(sizeof(ROWSENT)*pm->nrows); |
| 318 |
|
if (rord == NULL) |
| 319 |
|
goto memerr; |
| 320 |
|
for (ri = pm->nrows; ri--; ) { |
| 321 |
< |
rord[ri][0] = ri; |
| 322 |
< |
rord[ri][1] = -1; |
| 321 |
> |
rord[ri].s = ri; |
| 322 |
> |
rord[ri].d = -1; |
| 323 |
> |
rord[ri].dc = 1.f; |
| 324 |
|
if (src_rem[ri] <= minamt) /* enough source material? */ |
| 325 |
|
continue; |
| 326 |
|
for (i = 0; i < pm->ncols; i++) |
| 327 |
< |
if (dst_rem[ rord[ri][1] = psortrow(pm,ri)[i] ] > minamt) |
| 327 |
> |
if (dst_rem[ rord[ri].d = psortrow(pm,ri)[i] ] > minamt) |
| 328 |
|
break; |
| 329 |
|
if (i >= pm->ncols) { /* moved all we can? */ |
| 330 |
|
free(rord); |
| 331 |
|
return(.0); |
| 332 |
|
} |
| 333 |
+ |
rord[ri].dc = discount(src_rem[ri]); |
| 334 |
|
} |
| 335 |
|
if (pm->nrows > max2check) /* sort if too many sources */ |
| 336 |
< |
qsort_r(rord, pm->nrows, sizeof(short)*2, pm, &rmovcmp); |
| 336 |
> |
qsort_r(rord, pm->nrows, sizeof(ROWSENT), pm, &rmovcmp); |
| 337 |
|
/* allocate cost array */ |
| 338 |
|
src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
| 339 |
|
if (src_cost == NULL) |
| 346 |
|
r2check = max2check; /* put a limit on search */ |
| 347 |
|
for (ri = 0; ri < r2check; ri++) { /* check each source row */ |
| 348 |
|
double cost_others = 0; |
| 349 |
< |
cur.s = rord[ri][0]; |
| 350 |
< |
if ((cur.d = rord[ri][1]) < 0 || |
| 351 |
< |
(cur.price = pricerow(pm,cur.s)[cur.d]) >= best.price) { |
| 349 |
> |
cur.s = rord[ri].s; |
| 350 |
> |
if ((cur.d = rord[ri].d) < 0 || |
| 351 |
> |
rord[ri].dc*pricerow(pm,cur.s)[cur.d] >= best.price) { |
| 352 |
|
if (pm->nrows > max2check) break; /* sorted end */ |
| 353 |
|
continue; /* else skip this one */ |
| 354 |
|
} |
| 362 |
|
cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
| 363 |
|
- src_cost[i]; |
| 364 |
|
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
| 365 |
< |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
| 365 |
> |
/* discount effective price */ |
| 366 |
> |
cur.price = ( pricerow(pm,cur.s)[cur.d] + cost_others/cur.amt ) * |
| 367 |
> |
rord[ri].dc; |
| 368 |
|
if (cur.price < best.price) /* are we better than best? */ |
| 369 |
|
best = cur; |
| 370 |
|
} |
| 380 |
|
memerr: |
| 381 |
|
fprintf(stderr, "%s: Out of memory in migration_step()\n", progname); |
| 382 |
|
exit(1); |
| 383 |
+ |
#undef discount |
| 384 |
|
} |
| 385 |
|
|
| 386 |
+ |
#ifdef DUMP_MATRIX |
| 387 |
+ |
/* Dump transport plan and corresponding price matrix to a text file */ |
| 388 |
+ |
static void |
| 389 |
+ |
dump_matrix(const MIGRATION *me, const PRICEMAT *pm) |
| 390 |
+ |
{ |
| 391 |
+ |
char fname[256]; |
| 392 |
+ |
FILE *fp; |
| 393 |
+ |
int i, j; |
| 394 |
+ |
|
| 395 |
+ |
sprintf(fname, "edge_%d-%d.txt", me->rbfv[0]->ord, me->rbfv[1]->ord); |
| 396 |
+ |
if ((fp = fopen(fname, "w")) == NULL) |
| 397 |
+ |
return; |
| 398 |
+ |
for (j = 0; j < 2; j++) { |
| 399 |
+ |
fprintf(fp, "Available from %d source RBF lobes in node %d:\n", |
| 400 |
+ |
me->rbfv[j]->nrbf, me->rbfv[j]->ord); |
| 401 |
+ |
for (i = 0; i < me->rbfv[j]->nrbf; i++) |
| 402 |
+ |
fprintf(fp, " %.4e", rbf_volume(&me->rbfv[j]->rbfa[i]) / |
| 403 |
+ |
me->rbfv[j]->vtotal); |
| 404 |
+ |
fputc('\n', fp); |
| 405 |
+ |
} |
| 406 |
+ |
fprintf(fp, "Price (quadratic distance metric) matrix:\n"); |
| 407 |
+ |
for (i = 0; i < pm->nrows; i++) { |
| 408 |
+ |
for (j = 0; j < pm->ncols; j++) |
| 409 |
+ |
fprintf(fp, " %.4e", pricerow(pm,i)[j]); |
| 410 |
+ |
fputc('\n', fp); |
| 411 |
+ |
} |
| 412 |
+ |
fprintf(fp, "Solution matrix (transport plan):\n"); |
| 413 |
+ |
for (i = 0; i < mtx_nrows(me); i++) { |
| 414 |
+ |
for (j = 0; j < mtx_ncols(me); j++) |
| 415 |
+ |
fprintf(fp, " %.4e", mtx_coef(me,i,j)); |
| 416 |
+ |
fputc('\n', fp); |
| 417 |
+ |
} |
| 418 |
+ |
fclose(fp); |
| 419 |
+ |
} |
| 420 |
+ |
#endif |
| 421 |
+ |
|
| 422 |
|
/* Compute and insert migration along directed edge (may fork child) */ |
| 423 |
|
static MIGRATION * |
| 424 |
|
create_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
| 474 |
|
for (j = to_rbf->nrbf; j--; ) |
| 475 |
|
mtx_coef(newmig,i,j) *= nf; /* row now sums to 1.0 */ |
| 476 |
|
} |
| 477 |
+ |
#ifdef DUMP_MATRIX |
| 478 |
+ |
dump_matrix(newmig, &pmtx); |
| 479 |
+ |
#endif |
| 480 |
|
end_subprocess(); /* exit here if subprocess */ |
| 481 |
|
free_routes(&pmtx); /* free working arrays */ |
| 482 |
|
free(src_rem); |
| 592 |
|
static void |
| 593 |
|
check_normal_incidence(void) |
| 594 |
|
{ |
| 595 |
< |
const int saved_nprocs = nprocs; |
| 596 |
< |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
| 597 |
< |
double bestd; |
| 598 |
< |
int n, i, j; |
| 595 |
> |
static FVECT norm_vec = {.0, .0, 1.}; |
| 596 |
> |
const int saved_nprocs = nprocs; |
| 597 |
> |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
| 598 |
> |
double bestd; |
| 599 |
> |
int n; |
| 600 |
|
|
| 601 |
|
if (dsf_list == NULL) |
| 602 |
|
return; /* XXX should be error? */ |
| 642 |
|
memcpy(mir_rbf, near_rbf, n); |
| 643 |
|
mir_rbf->ord = near_rbf->ord - 1; /* not used, I think */ |
| 644 |
|
mir_rbf->next = NULL; |
| 645 |
+ |
mir_rbf->ejl = NULL; |
| 646 |
|
rev_rbf_symmetry(mir_rbf, MIRROR_X|MIRROR_Y); |
| 647 |
|
nprocs = 1; /* compute migration matrix */ |
| 648 |
< |
if (mig_list != create_migration(mir_rbf, near_rbf)) |
| 648 |
> |
if (create_migration(mir_rbf, near_rbf) == NULL) |
| 649 |
|
exit(1); /* XXX should never happen! */ |
| 650 |
< |
n = 0; /* count migrating particles */ |
| 651 |
< |
for (i = 0; i < mtx_nrows(mig_list); i++) |
| 547 |
< |
for (j = 0; j < mtx_ncols(mig_list); j++) |
| 548 |
< |
n += (mtx_coef(mig_list,i,j) > FTINY); |
| 549 |
< |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
| 550 |
< |
if (rbf == NULL) |
| 551 |
< |
goto memerr; |
| 552 |
< |
rbf->next = NULL; rbf->ejl = NULL; |
| 553 |
< |
rbf->invec[0] = rbf->invec[1] = 0; rbf->invec[2] = 1.; |
| 554 |
< |
rbf->nrbf = n; |
| 555 |
< |
rbf->vtotal = .5 + .5*mig_list->rbfv[1]->vtotal/mig_list->rbfv[0]->vtotal; |
| 556 |
< |
n = 0; /* advect RBF lobes halfway */ |
| 557 |
< |
for (i = 0; i < mtx_nrows(mig_list); i++) { |
| 558 |
< |
const RBFVAL *rbf0i = &mig_list->rbfv[0]->rbfa[i]; |
| 559 |
< |
const float peak0 = rbf0i->peak; |
| 560 |
< |
const double rad0 = R2ANG(rbf0i->crad); |
| 561 |
< |
FVECT v0; |
| 562 |
< |
float mv; |
| 563 |
< |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
| 564 |
< |
for (j = 0; j < mtx_ncols(mig_list); j++) |
| 565 |
< |
if ((mv = mtx_coef(mig_list,i,j)) > FTINY) { |
| 566 |
< |
const RBFVAL *rbf1j = &mig_list->rbfv[1]->rbfa[j]; |
| 567 |
< |
double rad2; |
| 568 |
< |
FVECT v; |
| 569 |
< |
int pos[2]; |
| 570 |
< |
rad2 = R2ANG(rbf1j->crad); |
| 571 |
< |
rad2 = .5*(rad0*rad0 + rad2*rad2); |
| 572 |
< |
rbf->rbfa[n].peak = peak0 * mv * rbf->vtotal * |
| 573 |
< |
rad0*rad0/rad2; |
| 574 |
< |
rbf->rbfa[n].crad = ANG2R(sqrt(rad2)); |
| 575 |
< |
ovec_from_pos(v, rbf1j->gx, rbf1j->gy); |
| 576 |
< |
geodesic(v, v0, v, .5, GEOD_REL); |
| 577 |
< |
pos_from_vec(pos, v); |
| 578 |
< |
rbf->rbfa[n].gx = pos[0]; |
| 579 |
< |
rbf->rbfa[n].gy = pos[1]; |
| 580 |
< |
++n; |
| 581 |
< |
} |
| 582 |
< |
} |
| 583 |
< |
rbf->vtotal *= mig_list->rbfv[0]->vtotal; |
| 650 |
> |
norm_vec[2] = input_orient; /* interpolate normal dist. */ |
| 651 |
> |
rbf = e_advect_rbf(mig_list, norm_vec, 2*near_rbf->nrbf); |
| 652 |
|
nprocs = saved_nprocs; /* final clean-up */ |
| 653 |
|
free(mir_rbf); |
| 654 |
|
free(mig_list); |
