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) |
120 |
|
if (pid < 0) { |
121 |
|
fprintf(stderr, "%s: cannot fork subprocess\n", |
122 |
|
progname); |
123 |
+ |
await_children(nchild); |
124 |
|
exit(1); |
125 |
|
} |
126 |
|
++nchild; /* subprocess started */ |
140 |
|
msrt_cmp(void *b, const void *p1, const void *p2) |
141 |
|
{ |
142 |
|
PRICEMAT *pm = (PRICEMAT *)b; |
143 |
< |
int ri = ((const short *)p1 - pm->sord) / pm->ncols; |
144 |
< |
float c1 = pricerow(pm,ri)[*(const short *)p1]; |
143 |
< |
float c2 = pricerow(pm,ri)[*(const short *)p2]; |
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); |
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 |
< |
pricerow(pm,i)[j] = acos(DOT(vfrom, vto[j])) + |
180 |
< |
fabs(R2ANG(to_rbf->rbfa[j].crad) - from_ang); |
181 |
< |
psortrow(pm,i)[j] = 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; |
186 |
|
} |
187 |
< |
qsort_r(psortrow(pm,i), pm->ncols, sizeof(short), pm, &msrt_cmp); |
187 |
> |
qsort_r(srow, pm->ncols, sizeof(short), pm, &msrt_cmp); |
188 |
|
} |
189 |
|
free(vto); |
190 |
|
} |
201 |
|
static double |
202 |
|
min_cost(double amt2move, const double *avail, const PRICEMAT *pm, int s) |
203 |
|
{ |
204 |
+ |
const short *srow = psortrow(pm,s); |
205 |
+ |
const float *prow = pricerow(pm,s); |
206 |
|
double total_cost = 0; |
207 |
|
int j; |
198 |
– |
|
199 |
– |
if (amt2move <= FTINY) /* pre-emptive check */ |
200 |
– |
return(0.); |
208 |
|
/* move cheapest first */ |
209 |
< |
for (j = 0; j < pm->ncols && amt2move > FTINY; j++) { |
210 |
< |
int d = psortrow(pm,s)[j]; |
209 |
> |
for (j = 0; (j < pm->ncols) & (amt2move > FTINY); j++) { |
210 |
> |
int d = srow[j]; |
211 |
|
double amt = (amt2move < avail[d]) ? amt2move : avail[d]; |
212 |
|
|
213 |
< |
total_cost += amt * pricerow(pm,s)[d]; |
213 |
> |
total_cost += amt * prow[d]; |
214 |
|
amt2move -= amt; |
215 |
|
} |
216 |
|
return(total_cost); |
217 |
|
} |
218 |
|
|
219 |
< |
/* Take a step in migration by choosing optimal bucket to transfer */ |
219 |
> |
typedef struct { |
220 |
> |
short s, d; /* source and destination */ |
221 |
> |
float dc; /* discount to push inventory */ |
222 |
> |
} ROWSENT; /* row sort entry */ |
223 |
> |
|
224 |
> |
/* Compare entries by discounted moving price */ |
225 |
> |
static int |
226 |
> |
rmovcmp(void *b, const void *p1, const void *p2) |
227 |
> |
{ |
228 |
> |
PRICEMAT *pm = (PRICEMAT *)b; |
229 |
> |
const ROWSENT *re1 = (const ROWSENT *)p1; |
230 |
> |
const ROWSENT *re2 = (const ROWSENT *)p2; |
231 |
> |
double price_diff; |
232 |
> |
|
233 |
> |
if (re1->d < 0) return(re2->d >= 0); |
234 |
> |
if (re2->d < 0) return(-1); |
235 |
> |
price_diff = re1->dc*pricerow(pm,re1->s)[re1->d] - |
236 |
> |
re2->dc*pricerow(pm,re2->s)[re2->d]; |
237 |
> |
if (price_diff > 0) return(1); |
238 |
> |
if (price_diff < 0) return(-1); |
239 |
> |
return(0); |
240 |
> |
} |
241 |
> |
|
242 |
> |
/* Take a step in migration by choosing reasonable bucket to transfer */ |
243 |
|
static double |
244 |
< |
migration_step(MIGRATION *mig, double *src_rem, double *dst_rem, const PRICEMAT *pm) |
244 |
> |
migration_step(MIGRATION *mig, double *src_rem, double *dst_rem, PRICEMAT *pm) |
245 |
|
{ |
246 |
+ |
const int max2check = 100; |
247 |
|
const double maxamt = 1./(double)pm->ncols; |
248 |
< |
const double minamt = maxamt*5e-6; |
249 |
< |
static double *src_cost = NULL; |
250 |
< |
static int n_alloc = 0; |
248 |
> |
const double minamt = maxamt*1e-4; |
249 |
> |
double *src_cost; |
250 |
> |
ROWSENT *rord; |
251 |
|
struct { |
252 |
|
int s, d; /* source and destination */ |
253 |
< |
double price; /* price estimate per amount moved */ |
253 |
> |
double price; /* cost per amount moved */ |
254 |
|
double amt; /* amount we can move */ |
255 |
|
} cur, best; |
256 |
< |
int i; |
257 |
< |
|
258 |
< |
if (pm->nrows > n_alloc) { /* allocate cost array */ |
259 |
< |
if (n_alloc) |
260 |
< |
free(src_cost); |
261 |
< |
src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
262 |
< |
if (src_cost == NULL) { |
263 |
< |
fprintf(stderr, "%s: Out of memory in migration_step()\n", |
264 |
< |
progname); |
265 |
< |
exit(1); |
266 |
< |
} |
267 |
< |
n_alloc = pm->nrows; |
256 |
> |
int r2check, i, ri; |
257 |
> |
/* |
258 |
> |
* Check cheapest available routes only -- a higher adjusted |
259 |
> |
* destination price implies that another source is closer, so |
260 |
> |
* we can hold off considering more expensive options until |
261 |
> |
* some other (hopefully better) moves have been made. |
262 |
> |
* A discount based on source remaining is supposed to prioritize |
263 |
> |
* movement from large lobes, but it doesn't seem to do much, |
264 |
> |
* so we have it set to 1.0 at the moment. |
265 |
> |
*/ |
266 |
> |
#define discount(qr) 1.0 |
267 |
> |
/* most promising row order */ |
268 |
> |
rord = (ROWSENT *)malloc(sizeof(ROWSENT)*pm->nrows); |
269 |
> |
if (rord == NULL) |
270 |
> |
goto memerr; |
271 |
> |
for (ri = pm->nrows; ri--; ) { |
272 |
> |
rord[ri].s = ri; |
273 |
> |
rord[ri].d = -1; |
274 |
> |
rord[ri].dc = 1.f; |
275 |
> |
if (src_rem[ri] <= minamt) /* enough source material? */ |
276 |
> |
continue; |
277 |
> |
for (i = 0; i < pm->ncols; i++) |
278 |
> |
if (dst_rem[ rord[ri].d = psortrow(pm,ri)[i] ] > minamt) |
279 |
> |
break; |
280 |
> |
if (i >= pm->ncols) { /* moved all we can? */ |
281 |
> |
free(rord); |
282 |
> |
return(.0); |
283 |
> |
} |
284 |
> |
rord[ri].dc = discount(src_rem[ri]); |
285 |
|
} |
286 |
+ |
if (pm->nrows > max2check) /* sort if too many sources */ |
287 |
+ |
qsort_r(rord, pm->nrows, sizeof(ROWSENT), pm, &rmovcmp); |
288 |
+ |
/* allocate cost array */ |
289 |
+ |
src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
290 |
+ |
if (src_cost == NULL) |
291 |
+ |
goto memerr; |
292 |
|
for (i = pm->nrows; i--; ) /* starting costs for diff. */ |
293 |
|
src_cost[i] = min_cost(src_rem[i], dst_rem, pm, i); |
240 |
– |
|
294 |
|
/* find best source & dest. */ |
295 |
|
best.s = best.d = -1; best.price = FHUGE; best.amt = 0; |
296 |
< |
for (cur.s = pm->nrows; cur.s--; ) { |
296 |
> |
if ((r2check = pm->nrows) > max2check) |
297 |
> |
r2check = max2check; /* put a limit on search */ |
298 |
> |
for (ri = 0; ri < r2check; ri++) { /* check each source row */ |
299 |
|
double cost_others = 0; |
300 |
< |
if (src_rem[cur.s] <= minamt) |
301 |
< |
continue; |
302 |
< |
/* examine cheapest dest. */ |
303 |
< |
for (i = 0; i < pm->ncols; i++) |
304 |
< |
if (dst_rem[cur.d = psortrow(pm,cur.s)[i]] > minamt) |
305 |
< |
break; |
251 |
< |
if (i >= pm->ncols) |
252 |
< |
return(.0); |
253 |
< |
if ((cur.price = pricerow(pm,cur.s)[cur.d]) >= best.price) |
254 |
< |
continue; /* no point checking further */ |
300 |
> |
cur.s = rord[ri].s; |
301 |
> |
if ((cur.d = rord[ri].d) < 0 || |
302 |
> |
rord[ri].dc*pricerow(pm,cur.s)[cur.d] >= best.price) { |
303 |
> |
if (pm->nrows > max2check) break; /* sorted end */ |
304 |
> |
continue; /* else skip this one */ |
305 |
> |
} |
306 |
|
cur.amt = (src_rem[cur.s] < dst_rem[cur.d]) ? |
307 |
|
src_rem[cur.s] : dst_rem[cur.d]; |
308 |
< |
if (cur.amt > maxamt) cur.amt = maxamt; |
309 |
< |
dst_rem[cur.d] -= cur.amt; /* add up differential costs */ |
308 |
> |
/* don't just leave smidgen */ |
309 |
> |
if (cur.amt > maxamt*1.02) cur.amt = maxamt; |
310 |
> |
dst_rem[cur.d] -= cur.amt; /* add up opportunity costs */ |
311 |
|
for (i = pm->nrows; i--; ) |
312 |
|
if (i != cur.s) |
313 |
< |
cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
313 |
> |
cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
314 |
|
- src_cost[i]; |
315 |
|
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
316 |
< |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
316 |
> |
/* discount effective price */ |
317 |
> |
cur.price = ( pricerow(pm,cur.s)[cur.d] + cost_others/cur.amt ) * |
318 |
> |
rord[ri].dc; |
319 |
|
if (cur.price < best.price) /* are we better than best? */ |
320 |
< |
best = cur; |
320 |
> |
best = cur; |
321 |
|
} |
322 |
< |
if ((best.s < 0) | (best.d < 0)) |
322 |
> |
free(src_cost); /* clean up */ |
323 |
> |
free(rord); |
324 |
> |
if ((best.s < 0) | (best.d < 0)) /* nothing left to move? */ |
325 |
|
return(.0); |
326 |
< |
/* make the actual move */ |
326 |
> |
/* else make the actual move */ |
327 |
|
mtx_coef(mig,best.s,best.d) += best.amt; |
328 |
|
src_rem[best.s] -= best.amt; |
329 |
|
dst_rem[best.d] -= best.amt; |
330 |
|
return(best.amt); |
331 |
+ |
memerr: |
332 |
+ |
fprintf(stderr, "%s: Out of memory in migration_step()\n", progname); |
333 |
+ |
exit(1); |
334 |
+ |
#undef discount |
335 |
|
} |
336 |
|
|
277 |
– |
#ifdef DEBUG |
278 |
– |
static char * |
279 |
– |
thetaphi(const FVECT v) |
280 |
– |
{ |
281 |
– |
static char buf[128]; |
282 |
– |
double theta, phi; |
283 |
– |
|
284 |
– |
theta = 180./M_PI*acos(v[2]); |
285 |
– |
phi = 180./M_PI*atan2(v[1],v[0]); |
286 |
– |
sprintf(buf, "(%.0f,%.0f)", theta, phi); |
287 |
– |
|
288 |
– |
return(buf); |
289 |
– |
} |
290 |
– |
#endif |
291 |
– |
|
337 |
|
/* Compute and insert migration along directed edge (may fork child) */ |
338 |
|
static MIGRATION * |
339 |
|
create_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
343 |
|
MIGRATION *newmig; |
344 |
|
double *src_rem, *dst_rem; |
345 |
|
double total_rem = 1., move_amt; |
346 |
< |
int i; |
346 |
> |
int i, j; |
347 |
|
/* check if exists already */ |
348 |
|
for (newmig = from_rbf->ejl; newmig != NULL; |
349 |
|
newmig = nextedge(from_rbf,newmig)) |
350 |
|
if (newmig->rbfv[1] == to_rbf) |
351 |
|
return(NULL); |
352 |
|
/* else allocate */ |
353 |
+ |
#ifdef DEBUG |
354 |
+ |
fprintf(stderr, "Building path from (theta,phi) (%.1f,%.1f) ", |
355 |
+ |
get_theta180(from_rbf->invec), |
356 |
+ |
get_phi360(from_rbf->invec)); |
357 |
+ |
fprintf(stderr, "to (%.1f,%.1f) with %d x %d matrix\n", |
358 |
+ |
get_theta180(to_rbf->invec), |
359 |
+ |
get_phi360(to_rbf->invec), |
360 |
+ |
from_rbf->nrbf, to_rbf->nrbf); |
361 |
+ |
#endif |
362 |
|
newmig = new_migration(from_rbf, to_rbf); |
363 |
|
if (run_subprocess()) |
364 |
|
return(newmig); /* child continues */ |
370 |
|
progname); |
371 |
|
exit(1); |
372 |
|
} |
319 |
– |
#ifdef DEBUG |
320 |
– |
fprintf(stderr, "Building path from (theta,phi) %s ", |
321 |
– |
thetaphi(from_rbf->invec)); |
322 |
– |
fprintf(stderr, "to %s with %d x %d matrix\n", |
323 |
– |
thetaphi(to_rbf->invec), |
324 |
– |
from_rbf->nrbf, to_rbf->nrbf); |
325 |
– |
#endif |
373 |
|
/* starting quantities */ |
374 |
|
memset(newmig->mtx, 0, sizeof(float)*from_rbf->nrbf*to_rbf->nrbf); |
375 |
|
for (i = from_rbf->nrbf; i--; ) |
376 |
|
src_rem[i] = rbf_volume(&from_rbf->rbfa[i]) / from_rbf->vtotal; |
377 |
< |
for (i = to_rbf->nrbf; i--; ) |
378 |
< |
dst_rem[i] = rbf_volume(&to_rbf->rbfa[i]) / to_rbf->vtotal; |
377 |
> |
for (j = to_rbf->nrbf; j--; ) |
378 |
> |
dst_rem[j] = rbf_volume(&to_rbf->rbfa[j]) / to_rbf->vtotal; |
379 |
> |
|
380 |
|
do { /* move a bit at a time */ |
381 |
|
move_amt = migration_step(newmig, src_rem, dst_rem, &pmtx); |
382 |
|
total_rem -= move_amt; |
335 |
– |
#ifdef DEBUG |
336 |
– |
if (!nchild) |
337 |
– |
fprintf(stderr, "\r%.9f remaining...", total_rem); |
338 |
– |
#endif |
383 |
|
} while ((total_rem > end_thresh) & (move_amt > 0)); |
384 |
< |
#ifdef DEBUG |
341 |
< |
if (!nchild) fputs("done.\n", stderr); |
342 |
< |
else fprintf(stderr, "finished with %.9f remaining\n", total_rem); |
343 |
< |
#endif |
384 |
> |
|
385 |
|
for (i = from_rbf->nrbf; i--; ) { /* normalize final matrix */ |
386 |
< |
float nf = rbf_volume(&from_rbf->rbfa[i]); |
346 |
< |
int j; |
386 |
> |
double nf = rbf_volume(&from_rbf->rbfa[i]); |
387 |
|
if (nf <= FTINY) continue; |
388 |
|
nf = from_rbf->vtotal / nf; |
389 |
|
for (j = to_rbf->nrbf; j--; ) |
390 |
< |
mtx_coef(newmig,i,j) *= nf; |
390 |
> |
mtx_coef(newmig,i,j) *= nf; /* row now sums to 1.0 */ |
391 |
|
} |
392 |
|
end_subprocess(); /* exit here if subprocess */ |
393 |
|
free_routes(&pmtx); /* free working arrays */ |
422 |
|
return(vother[im_rev] != NULL); |
423 |
|
} |
424 |
|
|
425 |
< |
/* Find context hull vertex to complete triangle (oriented call) */ |
425 |
> |
/* Find convex hull vertex to complete triangle (oriented call) */ |
426 |
|
static RBFNODE * |
427 |
|
find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1) |
428 |
|
{ |
443 |
|
if (DOT(vp, vmid) <= FTINY) |
444 |
|
continue; /* wrong orientation */ |
445 |
|
area2 = .25*DOT(vp,vp); |
446 |
< |
VSUB(vp, rbf->invec, rbf0->invec); |
446 |
> |
VSUB(vp, rbf->invec, vmid); |
447 |
|
dprod = -DOT(vp, vejn); |
448 |
|
VSUM(vp, vp, vejn, dprod); /* above guarantees non-zero */ |
449 |
|
dprod = DOT(vp, vmid) / VLEN(vp); |
499 |
|
} |
500 |
|
} |
501 |
|
} |
502 |
+ |
|
503 |
+ |
/* Add normal direction if missing */ |
504 |
+ |
static void |
505 |
+ |
check_normal_incidence(void) |
506 |
+ |
{ |
507 |
+ |
static const FVECT norm_vec = {.0, .0, 1.}; |
508 |
+ |
const int saved_nprocs = nprocs; |
509 |
+ |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
510 |
+ |
double bestd; |
511 |
+ |
int n; |
512 |
+ |
|
513 |
+ |
if (dsf_list == NULL) |
514 |
+ |
return; /* XXX should be error? */ |
515 |
+ |
near_rbf = dsf_list; |
516 |
+ |
bestd = input_orient*near_rbf->invec[2]; |
517 |
+ |
if (single_plane_incident) { /* ordered plane incidence? */ |
518 |
+ |
if (bestd >= 1.-2.*FTINY) |
519 |
+ |
return; /* already have normal */ |
520 |
+ |
} else { |
521 |
+ |
switch (inp_coverage) { |
522 |
+ |
case INP_QUAD1: |
523 |
+ |
case INP_QUAD2: |
524 |
+ |
case INP_QUAD3: |
525 |
+ |
case INP_QUAD4: |
526 |
+ |
break; /* quadrilateral symmetry? */ |
527 |
+ |
default: |
528 |
+ |
return; /* else we can interpolate */ |
529 |
+ |
} |
530 |
+ |
for (rbf = near_rbf->next; rbf != NULL; rbf = rbf->next) { |
531 |
+ |
const double d = input_orient*rbf->invec[2]; |
532 |
+ |
if (d >= 1.-2.*FTINY) |
533 |
+ |
return; /* seems we have normal */ |
534 |
+ |
if (d > bestd) { |
535 |
+ |
near_rbf = rbf; |
536 |
+ |
bestd = d; |
537 |
+ |
} |
538 |
+ |
} |
539 |
+ |
} |
540 |
+ |
if (mig_list != NULL) { /* need to be called first */ |
541 |
+ |
fprintf(stderr, "%s: Late call to check_normal_incidence()\n", |
542 |
+ |
progname); |
543 |
+ |
exit(1); |
544 |
+ |
} |
545 |
+ |
#ifdef DEBUG |
546 |
+ |
fprintf(stderr, "Interpolating normal incidence by mirroring (%.1f,%.1f)\n", |
547 |
+ |
get_theta180(near_rbf->invec), get_phi360(near_rbf->invec)); |
548 |
+ |
#endif |
549 |
+ |
/* mirror nearest incidence */ |
550 |
+ |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(near_rbf->nrbf-1); |
551 |
+ |
mir_rbf = (RBFNODE *)malloc(n); |
552 |
+ |
if (mir_rbf == NULL) |
553 |
+ |
goto memerr; |
554 |
+ |
memcpy(mir_rbf, near_rbf, n); |
555 |
+ |
mir_rbf->ord = near_rbf->ord - 1; /* not used, I think */ |
556 |
+ |
mir_rbf->next = NULL; |
557 |
+ |
rev_rbf_symmetry(mir_rbf, MIRROR_X|MIRROR_Y); |
558 |
+ |
nprocs = 1; /* compute migration matrix */ |
559 |
+ |
if (mig_list != create_migration(mir_rbf, near_rbf)) |
560 |
+ |
exit(1); /* XXX should never happen! */ |
561 |
+ |
/* interpolate normal dist. */ |
562 |
+ |
rbf = e_advect_rbf(mig_list, norm_vec, 2*near_rbf->nrbf); |
563 |
+ |
nprocs = saved_nprocs; /* final clean-up */ |
564 |
+ |
free(mir_rbf); |
565 |
+ |
free(mig_list); |
566 |
+ |
mig_list = near_rbf->ejl = NULL; |
567 |
+ |
insert_dsf(rbf); /* insert interpolated normal */ |
568 |
+ |
return; |
569 |
+ |
memerr: |
570 |
+ |
fprintf(stderr, "%s: Out of memory in check_normal_incidence()\n", |
571 |
+ |
progname); |
572 |
+ |
exit(1); |
573 |
+ |
} |
574 |
|
|
575 |
|
/* Build our triangle mesh from recorded RBFs */ |
576 |
|
void |
579 |
|
double best2 = M_PI*M_PI; |
580 |
|
RBFNODE *shrt_edj[2]; |
581 |
|
RBFNODE *rbf0, *rbf1; |
582 |
+ |
/* add normal if needed */ |
583 |
+ |
check_normal_incidence(); |
584 |
|
/* check if isotropic */ |
585 |
|
if (single_plane_incident) { |
586 |
|
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |