| 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) */ |
| 28 |
|
static int nchild = 0; |
| 29 |
|
|
| 26 |
– |
typedef struct { |
| 27 |
– |
int nrows, ncols; /* array size (matches migration) */ |
| 28 |
– |
float *price; /* migration prices */ |
| 29 |
– |
short *sord; /* sort for each row, low to high */ |
| 30 |
– |
float *prow; /* current price row */ |
| 31 |
– |
} PRICEMAT; /* sorted pricing matrix */ |
| 32 |
– |
|
| 33 |
– |
#define pricerow(p,i) ((p)->price + (i)*(p)->ncols) |
| 34 |
– |
#define psortrow(p,i) ((p)->sord + (i)*(p)->ncols) |
| 35 |
– |
|
| 30 |
|
/* Create a new migration holder (sharing memory for multiprocessing) */ |
| 31 |
|
static MIGRATION * |
| 32 |
|
new_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
| 129 |
|
|
| 130 |
|
#endif /* ! _WIN32 */ |
| 131 |
|
|
| 132 |
< |
/* Comparison routine needed for sorting price row */ |
| 139 |
< |
static int |
| 140 |
< |
msrt_cmp(void *b, const void *p1, const void *p2) |
| 141 |
< |
{ |
| 142 |
< |
PRICEMAT *pm = (PRICEMAT *)b; |
| 143 |
< |
float c1 = pm->prow[*(const short *)p1]; |
| 144 |
< |
float c2 = pm->prow[*(const short *)p2]; |
| 145 |
< |
|
| 146 |
< |
if (c1 > c2) return(1); |
| 147 |
< |
if (c1 < c2) return(-1); |
| 148 |
< |
return(0); |
| 149 |
< |
} |
| 150 |
< |
|
| 151 |
< |
/* Compute (and allocate) migration price matrix for optimization */ |
| 132 |
> |
/* Compute normalized distribution scattering functions for comparison */ |
| 133 |
|
static void |
| 134 |
< |
price_routes(PRICEMAT *pm, const RBFNODE *from_rbf, const RBFNODE *to_rbf) |
| 134 |
> |
compute_nDSFs(const RBFNODE *rbf0, const RBFNODE *rbf1) |
| 135 |
|
{ |
| 136 |
< |
FVECT *vto = (FVECT *)malloc(sizeof(FVECT) * to_rbf->nrbf); |
| 137 |
< |
int i, j; |
| 136 |
> |
const double nf0 = (GRIDRES*GRIDRES) / rbf0->vtotal; |
| 137 |
> |
const double nf1 = (GRIDRES*GRIDRES) / rbf1->vtotal; |
| 138 |
> |
int x, y; |
| 139 |
> |
FVECT dv; |
| 140 |
|
|
| 141 |
< |
pm->nrows = from_rbf->nrbf; |
| 142 |
< |
pm->ncols = to_rbf->nrbf; |
| 143 |
< |
pm->price = (float *)malloc(sizeof(float) * pm->nrows*pm->ncols); |
| 144 |
< |
pm->sord = (short *)malloc(sizeof(short) * pm->nrows*pm->ncols); |
| 145 |
< |
|
| 163 |
< |
if ((pm->price == NULL) | (pm->sord == NULL) | (vto == NULL)) { |
| 164 |
< |
fprintf(stderr, "%s: Out of memory in migration_costs()\n", |
| 165 |
< |
progname); |
| 166 |
< |
exit(1); |
| 167 |
< |
} |
| 168 |
< |
for (j = to_rbf->nrbf; j--; ) /* save repetitive ops. */ |
| 169 |
< |
ovec_from_pos(vto[j], to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy); |
| 170 |
< |
|
| 171 |
< |
for (i = from_rbf->nrbf; i--; ) { |
| 172 |
< |
const double from_ang = R2ANG(from_rbf->rbfa[i].crad); |
| 173 |
< |
FVECT vfrom; |
| 174 |
< |
short *srow; |
| 175 |
< |
ovec_from_pos(vfrom, from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy); |
| 176 |
< |
pm->prow = pricerow(pm,i); |
| 177 |
< |
srow = psortrow(pm,i); |
| 178 |
< |
for (j = to_rbf->nrbf; j--; ) { |
| 179 |
< |
double d; /* quadratic cost function */ |
| 180 |
< |
d = DOT(vfrom, vto[j]); |
| 181 |
< |
d = (d >= 1.) ? .0 : acos(d); |
| 182 |
< |
pm->prow[j] = d*d; |
| 183 |
< |
d = R2ANG(to_rbf->rbfa[j].crad) - from_ang; |
| 184 |
< |
pm->prow[j] += d*d; |
| 185 |
< |
srow[j] = j; |
| 141 |
> |
for (x = GRIDRES; x--; ) |
| 142 |
> |
for (y = GRIDRES; y--; ) { |
| 143 |
> |
ovec_from_pos(dv, x, y); /* cube root (brightness) */ |
| 144 |
> |
dsf_grid[x][y].val[0] = pow(nf0*eval_rbfrep(rbf0, dv), .3333); |
| 145 |
> |
dsf_grid[x][y].val[1] = pow(nf1*eval_rbfrep(rbf1, dv), .3333); |
| 146 |
|
} |
| 147 |
< |
qsort_r(srow, pm->ncols, sizeof(short), pm, &msrt_cmp); |
| 188 |
< |
} |
| 189 |
< |
free(vto); |
| 190 |
< |
} |
| 147 |
> |
} |
| 148 |
|
|
| 149 |
< |
/* Free price matrix */ |
| 193 |
< |
static void |
| 194 |
< |
free_routes(PRICEMAT *pm) |
| 195 |
< |
{ |
| 196 |
< |
free(pm->price); pm->price = NULL; |
| 197 |
< |
free(pm->sord); pm->sord = NULL; |
| 198 |
< |
} |
| 199 |
< |
|
| 200 |
< |
/* Compute minimum (optimistic) cost for moving the given source material */ |
| 149 |
> |
/* Compute neighborhood distance-squared (dissimilarity) */ |
| 150 |
|
static double |
| 151 |
< |
min_cost(double amt2move, const double *avail, const PRICEMAT *pm, int s) |
| 151 |
> |
neighborhood_dist2(int x0, int y0, int x1, int y1) |
| 152 |
|
{ |
| 153 |
< |
const short *srow = psortrow(pm,s); |
| 154 |
< |
const float *prow = pricerow(pm,s); |
| 155 |
< |
double total_cost = 0; |
| 156 |
< |
int j; |
| 157 |
< |
/* move cheapest first */ |
| 158 |
< |
for (j = 0; (j < pm->ncols) & (amt2move > FTINY); j++) { |
| 159 |
< |
int d = srow[j]; |
| 160 |
< |
double amt = (amt2move < avail[d]) ? amt2move : avail[d]; |
| 161 |
< |
|
| 162 |
< |
total_cost += amt * prow[d]; |
| 214 |
< |
amt2move -= amt; |
| 153 |
> |
int rad = GRIDRES>>5; |
| 154 |
> |
double sum2 = 0.; |
| 155 |
> |
double d; |
| 156 |
> |
int p[4]; |
| 157 |
> |
int i, j; |
| 158 |
> |
/* check radius */ |
| 159 |
> |
p[0] = x0; p[1] = y0; p[2] = x1; p[3] = y1; |
| 160 |
> |
for (i = 4; i--; ) { |
| 161 |
> |
if (p[i] < rad) rad = p[i]; |
| 162 |
> |
if (GRIDRES-1-p[i] < rad) rad = GRIDRES-1-p[i]; |
| 163 |
|
} |
| 164 |
< |
return(total_cost); |
| 164 |
> |
for (i = -rad; i <= rad; i++) |
| 165 |
> |
for (j = -rad; j <= rad; j++) { |
| 166 |
> |
d = dsf_grid[x0+i][y0+j].val[0] - |
| 167 |
> |
dsf_grid[x1+i][y1+j].val[1]; |
| 168 |
> |
sum2 += d*d; |
| 169 |
> |
} |
| 170 |
> |
return(sum2 / (4*rad*(rad+1) + 1)); |
| 171 |
|
} |
| 172 |
|
|
| 173 |
< |
/* Compare entries by moving price */ |
| 174 |
< |
static int |
| 175 |
< |
rmovcmp(void *b, const void *p1, const void *p2) |
| 173 |
> |
/* Compute distance between two RBF lobes */ |
| 174 |
> |
double |
| 175 |
> |
lobe_distance(RBFVAL *rbf1, RBFVAL *rbf2) |
| 176 |
|
{ |
| 177 |
< |
PRICEMAT *pm = (PRICEMAT *)b; |
| 178 |
< |
const short *ij1 = (const short *)p1; |
| 179 |
< |
const short *ij2 = (const short *)p2; |
| 180 |
< |
float price_diff; |
| 181 |
< |
|
| 182 |
< |
if (ij1[1] < 0) return(ij2[1] >= 0); |
| 183 |
< |
if (ij2[1] < 0) return(-1); |
| 184 |
< |
price_diff = pricerow(pm,ij1[0])[ij1[1]] - pricerow(pm,ij2[0])[ij2[1]]; |
| 185 |
< |
if (price_diff > 0) return(1); |
| 186 |
< |
if (price_diff < 0) return(-1); |
| 187 |
< |
return(0); |
| 177 |
> |
FVECT vfrom, vto; |
| 178 |
> |
double d, res; |
| 179 |
> |
/* quadratic cost function */ |
| 180 |
> |
ovec_from_pos(vfrom, rbf1->gx, rbf1->gy); |
| 181 |
> |
ovec_from_pos(vto, rbf2->gx, rbf2->gy); |
| 182 |
> |
d = Acos(DOT(vfrom, vto)); |
| 183 |
> |
res = d*d; |
| 184 |
> |
d = R2ANG(rbf2->crad) - R2ANG(rbf1->crad); |
| 185 |
> |
res += d*d; |
| 186 |
> |
/* neighborhood difference */ |
| 187 |
> |
res += NEIGH_FACT2 * neighborhood_dist2( rbf1->gx, rbf1->gy, |
| 188 |
> |
rbf2->gx, rbf2->gy ); |
| 189 |
> |
return(res); |
| 190 |
|
} |
| 191 |
|
|
| 236 |
– |
/* Take a step in migration by choosing reasonable bucket to transfer */ |
| 237 |
– |
static double |
| 238 |
– |
migration_step(MIGRATION *mig, double *src_rem, double *dst_rem, PRICEMAT *pm) |
| 239 |
– |
{ |
| 240 |
– |
const int max2check = 100; |
| 241 |
– |
const double maxamt = 1./(double)pm->ncols; |
| 242 |
– |
const double minamt = maxamt*1e-4; |
| 243 |
– |
double *src_cost; |
| 244 |
– |
short (*rord)[2]; |
| 245 |
– |
struct { |
| 246 |
– |
int s, d; /* source and destination */ |
| 247 |
– |
double price; /* price estimate per amount moved */ |
| 248 |
– |
double amt; /* amount we can move */ |
| 249 |
– |
} cur, best; |
| 250 |
– |
int r2check, i, ri; |
| 251 |
– |
/* |
| 252 |
– |
* Check cheapest available routes only -- a higher adjusted |
| 253 |
– |
* destination price implies that another source is closer, so |
| 254 |
– |
* we can hold off considering more expensive options until |
| 255 |
– |
* some other (hopefully better) moves have been made. |
| 256 |
– |
*/ |
| 257 |
– |
/* most promising row order */ |
| 258 |
– |
rord = (short (*)[2])malloc(sizeof(short)*2*pm->nrows); |
| 259 |
– |
if (rord == NULL) |
| 260 |
– |
goto memerr; |
| 261 |
– |
for (ri = pm->nrows; ri--; ) { |
| 262 |
– |
rord[ri][0] = ri; |
| 263 |
– |
rord[ri][1] = -1; |
| 264 |
– |
if (src_rem[ri] <= minamt) /* enough source material? */ |
| 265 |
– |
continue; |
| 266 |
– |
for (i = 0; i < pm->ncols; i++) |
| 267 |
– |
if (dst_rem[ rord[ri][1] = psortrow(pm,ri)[i] ] > minamt) |
| 268 |
– |
break; |
| 269 |
– |
if (i >= pm->ncols) { /* moved all we can? */ |
| 270 |
– |
free(rord); |
| 271 |
– |
return(.0); |
| 272 |
– |
} |
| 273 |
– |
} |
| 274 |
– |
if (pm->nrows > max2check) /* sort if too many sources */ |
| 275 |
– |
qsort_r(rord, pm->nrows, sizeof(short)*2, pm, &rmovcmp); |
| 276 |
– |
/* allocate cost array */ |
| 277 |
– |
src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
| 278 |
– |
if (src_cost == NULL) |
| 279 |
– |
goto memerr; |
| 280 |
– |
for (i = pm->nrows; i--; ) /* starting costs for diff. */ |
| 281 |
– |
src_cost[i] = min_cost(src_rem[i], dst_rem, pm, i); |
| 282 |
– |
/* find best source & dest. */ |
| 283 |
– |
best.s = best.d = -1; best.price = FHUGE; best.amt = 0; |
| 284 |
– |
if ((r2check = pm->nrows) > max2check) |
| 285 |
– |
r2check = max2check; /* put a limit on search */ |
| 286 |
– |
for (ri = 0; ri < r2check; ri++) { /* check each source row */ |
| 287 |
– |
double cost_others = 0; |
| 288 |
– |
cur.s = rord[ri][0]; |
| 289 |
– |
if ((cur.d = rord[ri][1]) < 0 || |
| 290 |
– |
(cur.price = pricerow(pm,cur.s)[cur.d]) >= best.price) { |
| 291 |
– |
if (pm->nrows > max2check) break; /* sorted end */ |
| 292 |
– |
continue; /* else skip this one */ |
| 293 |
– |
} |
| 294 |
– |
cur.amt = (src_rem[cur.s] < dst_rem[cur.d]) ? |
| 295 |
– |
src_rem[cur.s] : dst_rem[cur.d]; |
| 296 |
– |
/* don't just leave smidgen */ |
| 297 |
– |
if (cur.amt > maxamt*1.02) cur.amt = maxamt; |
| 298 |
– |
dst_rem[cur.d] -= cur.amt; /* add up opportunity costs */ |
| 299 |
– |
for (i = pm->nrows; i--; ) |
| 300 |
– |
if (i != cur.s) |
| 301 |
– |
cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
| 302 |
– |
- src_cost[i]; |
| 303 |
– |
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
| 304 |
– |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
| 305 |
– |
if (cur.price < best.price) /* are we better than best? */ |
| 306 |
– |
best = cur; |
| 307 |
– |
} |
| 308 |
– |
free(src_cost); /* clean up */ |
| 309 |
– |
free(rord); |
| 310 |
– |
if ((best.s < 0) | (best.d < 0)) /* nothing left to move? */ |
| 311 |
– |
return(.0); |
| 312 |
– |
/* else make the actual move */ |
| 313 |
– |
mtx_coef(mig,best.s,best.d) += best.amt; |
| 314 |
– |
src_rem[best.s] -= best.amt; |
| 315 |
– |
dst_rem[best.d] -= best.amt; |
| 316 |
– |
return(best.amt); |
| 317 |
– |
memerr: |
| 318 |
– |
fprintf(stderr, "%s: Out of memory in migration_step()\n", progname); |
| 319 |
– |
exit(1); |
| 320 |
– |
} |
| 192 |
|
|
| 193 |
|
/* Compute and insert migration along directed edge (may fork child) */ |
| 194 |
|
static MIGRATION * |
| 195 |
|
create_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
| 196 |
|
{ |
| 326 |
– |
const double end_thresh = 5e-6; |
| 327 |
– |
PRICEMAT pmtx; |
| 197 |
|
MIGRATION *newmig; |
| 329 |
– |
double *src_rem, *dst_rem; |
| 330 |
– |
double total_rem = 1., move_amt; |
| 198 |
|
int i, j; |
| 199 |
|
/* check if exists already */ |
| 200 |
|
for (newmig = from_rbf->ejl; newmig != NULL; |
| 214 |
|
newmig = new_migration(from_rbf, to_rbf); |
| 215 |
|
if (run_subprocess()) |
| 216 |
|
return(newmig); /* child continues */ |
| 350 |
– |
price_routes(&pmtx, from_rbf, to_rbf); |
| 351 |
– |
src_rem = (double *)malloc(sizeof(double)*from_rbf->nrbf); |
| 352 |
– |
dst_rem = (double *)malloc(sizeof(double)*to_rbf->nrbf); |
| 353 |
– |
if ((src_rem == NULL) | (dst_rem == NULL)) { |
| 354 |
– |
fprintf(stderr, "%s: Out of memory in create_migration()\n", |
| 355 |
– |
progname); |
| 356 |
– |
exit(1); |
| 357 |
– |
} |
| 358 |
– |
/* starting quantities */ |
| 359 |
– |
memset(newmig->mtx, 0, sizeof(float)*from_rbf->nrbf*to_rbf->nrbf); |
| 360 |
– |
for (i = from_rbf->nrbf; i--; ) |
| 361 |
– |
src_rem[i] = rbf_volume(&from_rbf->rbfa[i]) / from_rbf->vtotal; |
| 362 |
– |
for (j = to_rbf->nrbf; j--; ) |
| 363 |
– |
dst_rem[j] = rbf_volume(&to_rbf->rbfa[j]) / to_rbf->vtotal; |
| 217 |
|
|
| 218 |
< |
do { /* move a bit at a time */ |
| 219 |
< |
move_amt = migration_step(newmig, src_rem, dst_rem, &pmtx); |
| 220 |
< |
total_rem -= move_amt; |
| 368 |
< |
} while ((total_rem > end_thresh) & (move_amt > 0)); |
| 218 |
> |
/* compute transport plan */ |
| 219 |
> |
compute_nDSFs(from_rbf, to_rbf); |
| 220 |
> |
plan_transport(newmig); |
| 221 |
|
|
| 222 |
|
for (i = from_rbf->nrbf; i--; ) { /* normalize final matrix */ |
| 223 |
|
double nf = rbf_volume(&from_rbf->rbfa[i]); |
| 227 |
|
mtx_coef(newmig,i,j) *= nf; /* row now sums to 1.0 */ |
| 228 |
|
} |
| 229 |
|
end_subprocess(); /* exit here if subprocess */ |
| 378 |
– |
free_routes(&pmtx); /* free working arrays */ |
| 379 |
– |
free(src_rem); |
| 380 |
– |
free(dst_rem); |
| 230 |
|
return(newmig); |
| 231 |
|
} |
| 232 |
|
|
| 338 |
|
static void |
| 339 |
|
check_normal_incidence(void) |
| 340 |
|
{ |
| 341 |
< |
const int saved_nprocs = nprocs; |
| 342 |
< |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
| 343 |
< |
double bestd; |
| 344 |
< |
int n, i, j; |
| 341 |
> |
static FVECT norm_vec = {.0, .0, 1.}; |
| 342 |
> |
const int saved_nprocs = nprocs; |
| 343 |
> |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
| 344 |
> |
double bestd; |
| 345 |
> |
int n; |
| 346 |
|
|
| 347 |
|
if (dsf_list == NULL) |
| 348 |
|
return; /* XXX should be error? */ |
| 388 |
|
memcpy(mir_rbf, near_rbf, n); |
| 389 |
|
mir_rbf->ord = near_rbf->ord - 1; /* not used, I think */ |
| 390 |
|
mir_rbf->next = NULL; |
| 391 |
+ |
mir_rbf->ejl = NULL; |
| 392 |
|
rev_rbf_symmetry(mir_rbf, MIRROR_X|MIRROR_Y); |
| 393 |
|
nprocs = 1; /* compute migration matrix */ |
| 394 |
< |
if (mig_list != create_migration(mir_rbf, near_rbf)) |
| 394 |
> |
if (create_migration(mir_rbf, near_rbf) == NULL) |
| 395 |
|
exit(1); /* XXX should never happen! */ |
| 396 |
< |
n = 0; /* count migrating particles */ |
| 397 |
< |
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; |
| 396 |
> |
norm_vec[2] = input_orient; /* interpolate normal dist. */ |
| 397 |
> |
rbf = e_advect_rbf(mig_list, norm_vec, 2*near_rbf->nrbf); |
| 398 |
|
nprocs = saved_nprocs; /* final clean-up */ |
| 399 |
|
free(mir_rbf); |
| 400 |
|
free(mig_list); |
