| 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 |
– |
} PRICEMAT; /* sorted pricing matrix */ |
| 31 |
– |
|
| 32 |
– |
#define pricerow(p,i) ((p)->price + (i)*(p)->ncols) |
| 33 |
– |
#define psortrow(p,i) ((p)->sord + (i)*(p)->ncols) |
| 34 |
– |
|
| 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 */ |
| 138 |
< |
static int |
| 139 |
< |
msrt_cmp(void *b, const void *p1, const void *p2) |
| 140 |
< |
{ |
| 141 |
< |
PRICEMAT *pm = (PRICEMAT *)b; |
| 142 |
< |
int ri = ((const short *)p1 - pm->sord) / pm->ncols; |
| 143 |
< |
float c1 = pricerow(pm,ri)[*(const short *)p1]; |
| 144 |
< |
float c2 = pricerow(pm,ri)[*(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 |
< |
ovec_from_pos(vfrom, from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy); |
| 175 |
< |
for (j = to_rbf->nrbf; j--; ) { |
| 176 |
< |
double dprod = DOT(vfrom, vto[j]); |
| 177 |
< |
pricerow(pm,i)[j] = ((dprod >= 1.) ? .0 : acos(dprod)) + |
| 178 |
< |
fabs(R2ANG(to_rbf->rbfa[j].crad) - from_ang); |
| 179 |
< |
psortrow(pm,i)[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(psortrow(pm,i), pm->ncols, sizeof(short), pm, &msrt_cmp); |
| 182 |
< |
} |
| 183 |
< |
free(vto); |
| 184 |
< |
} |
| 147 |
> |
} |
| 148 |
|
|
| 149 |
< |
/* Free price matrix */ |
| 187 |
< |
static void |
| 188 |
< |
free_routes(PRICEMAT *pm) |
| 189 |
< |
{ |
| 190 |
< |
free(pm->price); pm->price = NULL; |
| 191 |
< |
free(pm->sord); pm->sord = NULL; |
| 192 |
< |
} |
| 193 |
< |
|
| 194 |
< |
/* 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 |
< |
double total_cost = 0; |
| 154 |
< |
int j; |
| 155 |
< |
|
| 156 |
< |
if (amt2move <= FTINY) /* pre-emptive check */ |
| 157 |
< |
return(.0); |
| 158 |
< |
/* move cheapest first */ |
| 159 |
< |
for (j = 0; j < pm->ncols && amt2move > FTINY; j++) { |
| 160 |
< |
int d = psortrow(pm,s)[j]; |
| 161 |
< |
double amt = (amt2move < avail[d]) ? amt2move : avail[d]; |
| 162 |
< |
|
| 208 |
< |
total_cost += amt * pricerow(pm,s)[d]; |
| 209 |
< |
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 |
< |
/* Take a step in migration by choosing optimal bucket to transfer */ |
| 174 |
< |
static double |
| 175 |
< |
migration_step(MIGRATION *mig, double *src_rem, double *dst_rem, const PRICEMAT *pm) |
| 173 |
> |
/* Compute distance between two RBF lobes */ |
| 174 |
> |
double |
| 175 |
> |
lobe_distance(RBFVAL *rbf1, RBFVAL *rbf2) |
| 176 |
|
{ |
| 177 |
< |
const double maxamt = 1./(double)pm->ncols; |
| 178 |
< |
const double minamt = maxamt*5e-6; |
| 179 |
< |
double *src_cost; |
| 180 |
< |
struct { |
| 181 |
< |
int s, d; /* source and destination */ |
| 182 |
< |
double price; /* price estimate per amount moved */ |
| 183 |
< |
double amt; /* amount we can move */ |
| 184 |
< |
} cur, best; |
| 185 |
< |
int i; |
| 186 |
< |
/* allocate cost array */ |
| 187 |
< |
src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
| 188 |
< |
if (src_cost == NULL) { |
| 189 |
< |
fprintf(stderr, "%s: Out of memory in migration_step()\n", |
| 231 |
< |
progname); |
| 232 |
< |
exit(1); |
| 233 |
< |
} |
| 234 |
< |
for (i = pm->nrows; i--; ) /* starting costs for diff. */ |
| 235 |
< |
src_cost[i] = min_cost(src_rem[i], dst_rem, pm, i); |
| 236 |
< |
|
| 237 |
< |
/* find best source & dest. */ |
| 238 |
< |
best.s = best.d = -1; best.price = FHUGE; best.amt = 0; |
| 239 |
< |
for (cur.s = pm->nrows; cur.s--; ) { |
| 240 |
< |
double cost_others = 0; |
| 241 |
< |
|
| 242 |
< |
if (src_rem[cur.s] <= minamt) |
| 243 |
< |
continue; |
| 244 |
< |
/* examine cheapest dest. */ |
| 245 |
< |
for (i = 0; i < pm->ncols; i++) |
| 246 |
< |
if (dst_rem[ cur.d = psortrow(pm,cur.s)[i] ] > minamt) |
| 247 |
< |
break; |
| 248 |
< |
if (i >= pm->ncols) |
| 249 |
< |
break; |
| 250 |
< |
if ((cur.price = pricerow(pm,cur.s)[cur.d]) >= best.price) |
| 251 |
< |
continue; /* no point checking further */ |
| 252 |
< |
cur.amt = (src_rem[cur.s] < dst_rem[cur.d]) ? |
| 253 |
< |
src_rem[cur.s] : dst_rem[cur.d]; |
| 254 |
< |
if (cur.amt > maxamt) cur.amt = maxamt; |
| 255 |
< |
dst_rem[cur.d] -= cur.amt; /* add up differential costs */ |
| 256 |
< |
for (i = pm->nrows; i--; ) |
| 257 |
< |
if (i != cur.s) |
| 258 |
< |
cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
| 259 |
< |
- src_cost[i]; |
| 260 |
< |
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
| 261 |
< |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
| 262 |
< |
if (cur.price < best.price) /* are we better than best? */ |
| 263 |
< |
best = cur; |
| 264 |
< |
} |
| 265 |
< |
free(src_cost); /* finish up */ |
| 266 |
< |
|
| 267 |
< |
if ((best.s < 0) | (best.d < 0)) /* nothing left to move? */ |
| 268 |
< |
return(.0); |
| 269 |
< |
/* else make the actual move */ |
| 270 |
< |
mtx_coef(mig,best.s,best.d) += best.amt; |
| 271 |
< |
src_rem[best.s] -= best.amt; |
| 272 |
< |
dst_rem[best.d] -= best.amt; |
| 273 |
< |
return(best.amt); |
| 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 |
|
|
| 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 |
|
{ |
| 280 |
– |
const double end_thresh = 5e-6; |
| 281 |
– |
PRICEMAT pmtx; |
| 197 |
|
MIGRATION *newmig; |
| 283 |
– |
double *src_rem, *dst_rem; |
| 284 |
– |
double total_rem = 1., move_amt; |
| 198 |
|
int i, j; |
| 199 |
|
/* check if exists already */ |
| 200 |
|
for (newmig = from_rbf->ejl; newmig != NULL; |
| 203 |
|
return(NULL); |
| 204 |
|
/* else allocate */ |
| 205 |
|
#ifdef DEBUG |
| 206 |
< |
fprintf(stderr, "Building path from (theta,phi) (%.0f,%.0f) ", |
| 206 |
> |
fprintf(stderr, "Building path from (theta,phi) (%.1f,%.1f) ", |
| 207 |
|
get_theta180(from_rbf->invec), |
| 208 |
|
get_phi360(from_rbf->invec)); |
| 209 |
< |
fprintf(stderr, "to (%.0f,%.0f) with %d x %d matrix\n", |
| 209 |
> |
fprintf(stderr, "to (%.1f,%.1f) with %d x %d matrix\n", |
| 210 |
|
get_theta180(to_rbf->invec), |
| 211 |
|
get_phi360(to_rbf->invec), |
| 212 |
|
from_rbf->nrbf, to_rbf->nrbf); |
| 214 |
|
newmig = new_migration(from_rbf, to_rbf); |
| 215 |
|
if (run_subprocess()) |
| 216 |
|
return(newmig); /* child continues */ |
| 304 |
– |
price_routes(&pmtx, from_rbf, to_rbf); |
| 305 |
– |
src_rem = (double *)malloc(sizeof(double)*from_rbf->nrbf); |
| 306 |
– |
dst_rem = (double *)malloc(sizeof(double)*to_rbf->nrbf); |
| 307 |
– |
if ((src_rem == NULL) | (dst_rem == NULL)) { |
| 308 |
– |
fprintf(stderr, "%s: Out of memory in create_migration()\n", |
| 309 |
– |
progname); |
| 310 |
– |
exit(1); |
| 311 |
– |
} |
| 312 |
– |
/* starting quantities */ |
| 313 |
– |
memset(newmig->mtx, 0, sizeof(float)*from_rbf->nrbf*to_rbf->nrbf); |
| 314 |
– |
for (i = from_rbf->nrbf; i--; ) |
| 315 |
– |
src_rem[i] = rbf_volume(&from_rbf->rbfa[i]) / from_rbf->vtotal; |
| 316 |
– |
for (j = to_rbf->nrbf; j--; ) |
| 317 |
– |
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; |
| 322 |
< |
} 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 */ |
| 332 |
– |
free_routes(&pmtx); /* free working arrays */ |
| 333 |
– |
free(src_rem); |
| 334 |
– |
free(dst_rem); |
| 230 |
|
return(newmig); |
| 231 |
|
} |
| 232 |
|
|
| 256 |
|
return(vother[im_rev] != NULL); |
| 257 |
|
} |
| 258 |
|
|
| 259 |
< |
/* Find context hull vertex to complete triangle (oriented call) */ |
| 259 |
> |
/* Find convex hull vertex to complete triangle (oriented call) */ |
| 260 |
|
static RBFNODE * |
| 261 |
|
find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1) |
| 262 |
|
{ |
| 277 |
|
if (DOT(vp, vmid) <= FTINY) |
| 278 |
|
continue; /* wrong orientation */ |
| 279 |
|
area2 = .25*DOT(vp,vp); |
| 280 |
< |
VSUB(vp, rbf->invec, rbf0->invec); |
| 280 |
> |
VSUB(vp, rbf->invec, vmid); |
| 281 |
|
dprod = -DOT(vp, vejn); |
| 282 |
|
VSUM(vp, vp, vejn, dprod); /* above guarantees non-zero */ |
| 283 |
|
dprod = DOT(vp, vmid) / VLEN(vp); |
| 316 |
|
ej1 = create_migration(tvert[0], edge->rbfv[1]); |
| 317 |
|
mesh_from_edge(ej0); |
| 318 |
|
mesh_from_edge(ej1); |
| 319 |
+ |
return; |
| 320 |
|
} |
| 321 |
< |
} else if (tvert[1] == NULL) { /* grow mesh on left */ |
| 321 |
> |
} |
| 322 |
> |
if (tvert[1] == NULL) { /* grow mesh on left */ |
| 323 |
|
tvert[1] = find_chull_vert(edge->rbfv[1], edge->rbfv[0]); |
| 324 |
|
if (tvert[1] != NULL) { |
| 325 |
|
if (tvert[1]->ord > edge->rbfv[0]->ord) |
| 335 |
|
} |
| 336 |
|
} |
| 337 |
|
} |
| 338 |
+ |
|
| 339 |
+ |
/* Add normal direction if missing */ |
| 340 |
+ |
static void |
| 341 |
+ |
check_normal_incidence(void) |
| 342 |
+ |
{ |
| 343 |
+ |
static FVECT norm_vec = {.0, .0, 1.}; |
| 344 |
+ |
const int saved_nprocs = nprocs; |
| 345 |
+ |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
| 346 |
+ |
double bestd; |
| 347 |
+ |
int n; |
| 348 |
+ |
|
| 349 |
+ |
if (dsf_list == NULL) |
| 350 |
+ |
return; /* XXX should be error? */ |
| 351 |
+ |
near_rbf = dsf_list; |
| 352 |
+ |
bestd = input_orient*near_rbf->invec[2]; |
| 353 |
+ |
if (single_plane_incident) { /* ordered plane incidence? */ |
| 354 |
+ |
if (bestd >= 1.-2.*FTINY) |
| 355 |
+ |
return; /* already have normal */ |
| 356 |
+ |
} else { |
| 357 |
+ |
switch (inp_coverage) { |
| 358 |
+ |
case INP_QUAD1: |
| 359 |
+ |
case INP_QUAD2: |
| 360 |
+ |
case INP_QUAD3: |
| 361 |
+ |
case INP_QUAD4: |
| 362 |
+ |
break; /* quadrilateral symmetry? */ |
| 363 |
+ |
default: |
| 364 |
+ |
return; /* else we can interpolate */ |
| 365 |
+ |
} |
| 366 |
+ |
for (rbf = near_rbf->next; rbf != NULL; rbf = rbf->next) { |
| 367 |
+ |
const double d = input_orient*rbf->invec[2]; |
| 368 |
+ |
if (d >= 1.-2.*FTINY) |
| 369 |
+ |
return; /* seems we have normal */ |
| 370 |
+ |
if (d > bestd) { |
| 371 |
+ |
near_rbf = rbf; |
| 372 |
+ |
bestd = d; |
| 373 |
+ |
} |
| 374 |
+ |
} |
| 375 |
+ |
} |
| 376 |
+ |
if (mig_list != NULL) { /* need to be called first */ |
| 377 |
+ |
fprintf(stderr, "%s: Late call to check_normal_incidence()\n", |
| 378 |
+ |
progname); |
| 379 |
+ |
exit(1); |
| 380 |
+ |
} |
| 381 |
+ |
#ifdef DEBUG |
| 382 |
+ |
fprintf(stderr, "Interpolating normal incidence by mirroring (%.1f,%.1f)\n", |
| 383 |
+ |
get_theta180(near_rbf->invec), get_phi360(near_rbf->invec)); |
| 384 |
+ |
#endif |
| 385 |
+ |
/* mirror nearest incidence */ |
| 386 |
+ |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(near_rbf->nrbf-1); |
| 387 |
+ |
mir_rbf = (RBFNODE *)malloc(n); |
| 388 |
+ |
if (mir_rbf == NULL) |
| 389 |
+ |
goto memerr; |
| 390 |
+ |
memcpy(mir_rbf, near_rbf, n); |
| 391 |
+ |
mir_rbf->ord = near_rbf->ord - 1; /* not used, I think */ |
| 392 |
+ |
mir_rbf->next = NULL; |
| 393 |
+ |
mir_rbf->ejl = NULL; |
| 394 |
+ |
rev_rbf_symmetry(mir_rbf, MIRROR_X|MIRROR_Y); |
| 395 |
+ |
nprocs = 1; /* compute migration matrix */ |
| 396 |
+ |
if (create_migration(mir_rbf, near_rbf) == NULL) |
| 397 |
+ |
exit(1); /* XXX should never happen! */ |
| 398 |
+ |
norm_vec[2] = input_orient; /* interpolate normal dist. */ |
| 399 |
+ |
rbf = e_advect_rbf(mig_list, norm_vec, 2*near_rbf->nrbf); |
| 400 |
+ |
nprocs = saved_nprocs; /* final clean-up */ |
| 401 |
+ |
free(mir_rbf); |
| 402 |
+ |
free(mig_list); |
| 403 |
+ |
mig_list = near_rbf->ejl = NULL; |
| 404 |
+ |
insert_dsf(rbf); /* insert interpolated normal */ |
| 405 |
+ |
return; |
| 406 |
+ |
memerr: |
| 407 |
+ |
fprintf(stderr, "%s: Out of memory in check_normal_incidence()\n", |
| 408 |
+ |
progname); |
| 409 |
+ |
exit(1); |
| 410 |
+ |
} |
| 411 |
|
|
| 412 |
|
/* Build our triangle mesh from recorded RBFs */ |
| 413 |
|
void |
| 416 |
|
double best2 = M_PI*M_PI; |
| 417 |
|
RBFNODE *shrt_edj[2]; |
| 418 |
|
RBFNODE *rbf0, *rbf1; |
| 419 |
+ |
/* add normal if needed */ |
| 420 |
+ |
check_normal_incidence(); |
| 421 |
|
/* check if isotropic */ |
| 422 |
|
if (single_plane_incident) { |
| 423 |
|
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
