18 |
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#include <string.h> |
19 |
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#include <math.h> |
20 |
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#include "bsdfrep.h" |
21 |
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|
22 |
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#ifndef NEIGH_FACT2 |
23 |
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#define NEIGH_FACT2 15. /* empirical neighborhood distance weight */ |
24 |
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#endif |
25 |
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/* number of processes to run */ |
26 |
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int nprocs = 1; |
27 |
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/* number of children (-1 in child) */ |
139 |
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|
140 |
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#endif /* ! _WIN32 */ |
141 |
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|
142 |
+ |
/* Compute normalized distribution scattering functions for comparison */ |
143 |
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static void |
144 |
+ |
compute_nDSFs(const RBFNODE *rbf0, const RBFNODE *rbf1) |
145 |
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{ |
146 |
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const double nf0 = (GRIDRES*GRIDRES) / rbf0->vtotal; |
147 |
+ |
const double nf1 = (GRIDRES*GRIDRES) / rbf1->vtotal; |
148 |
+ |
int x, y; |
149 |
+ |
FVECT dv; |
150 |
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|
151 |
+ |
for (x = GRIDRES; x--; ) |
152 |
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for (y = GRIDRES; y--; ) { |
153 |
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ovec_from_pos(dv, x, y); /* cube root (brightness) */ |
154 |
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dsf_grid[x][y].val[0] = pow(nf0*eval_rbfrep(rbf0, dv), .3333); |
155 |
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dsf_grid[x][y].val[1] = pow(nf1*eval_rbfrep(rbf1, dv), .3333); |
156 |
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} |
157 |
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} |
158 |
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|
159 |
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/* Compute neighborhood distance-squared (dissimilarity) */ |
160 |
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static double |
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neighborhood_dist2(int x0, int y0, int x1, int y1) |
162 |
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{ |
163 |
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int rad = GRIDRES>>5; |
164 |
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double sum2 = 0.; |
165 |
+ |
double d; |
166 |
+ |
int p[4]; |
167 |
+ |
int i, j; |
168 |
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|
169 |
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if ((x0 == x1) & (y0 == y1)) |
170 |
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return(0.); |
171 |
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/* check radius */ |
172 |
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p[0] = x0; p[1] = y0; p[2] = x1; p[3] = y1; |
173 |
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for (i = 4; i--; ) { |
174 |
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if (p[i] < rad) rad = p[i]; |
175 |
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if (GRIDRES-1-p[i] < rad) rad = GRIDRES-1-p[i]; |
176 |
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} |
177 |
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for (i = -rad; i <= rad; i++) |
178 |
+ |
for (j = -rad; j <= rad; j++) { |
179 |
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d = dsf_grid[x0+i][y0+j].val[0] - |
180 |
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dsf_grid[x1+i][y1+j].val[1]; |
181 |
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sum2 += d*d; |
182 |
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} |
183 |
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return(sum2 / (4*rad*(rad+1) + 1)); |
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} |
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|
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/* Comparison routine needed for sorting price row */ |
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static int |
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msrt_cmp(void *b, const void *p1, const void *p2) |
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FVECT *vto = (FVECT *)malloc(sizeof(FVECT) * to_rbf->nrbf); |
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int i, j; |
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|
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compute_nDSFs(from_rbf, to_rbf); |
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pm->nrows = from_rbf->nrbf; |
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pm->ncols = to_rbf->nrbf; |
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pm->price = (float *)malloc(sizeof(float) * pm->nrows*pm->ncols); |
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pm->prow = pricerow(pm,i); |
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srow = psortrow(pm,i); |
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for (j = to_rbf->nrbf; j--; ) { |
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double d; /* quadratic cost function */ |
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d = DOT(vfrom, vto[j]); |
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d = (d >= 1.) ? .0 : acos(d); |
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double d; /* quadratic cost function */ |
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d = Acos(DOT(vfrom, vto[j])); |
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pm->prow[j] = d*d; |
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d = R2ANG(to_rbf->rbfa[j].crad) - from_ang; |
232 |
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pm->prow[j] += d*d; |
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pm->prow[j] += d*d; |
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/* neighborhood difference */ |
234 |
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pm->prow[j] += NEIGH_FACT2 * neighborhood_dist2( |
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from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy, |
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to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy ); |
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srow[j] = j; |
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} |
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qsort_r(srow, pm->ncols, sizeof(short), pm, &msrt_cmp); |
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return(total_cost); |
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} |
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|
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/* Compare entries by moving price */ |
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typedef struct { |
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short s, d; /* source and destination */ |
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float dc; /* discount to push inventory */ |
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} ROWSENT; /* row sort entry */ |
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|
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/* Compare entries by discounted moving price */ |
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static int |
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rmovcmp(void *b, const void *p1, const void *p2) |
279 |
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{ |
280 |
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PRICEMAT *pm = (PRICEMAT *)b; |
281 |
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const short *ij1 = (const short *)p1; |
282 |
< |
const short *ij2 = (const short *)p2; |
283 |
< |
float price_diff; |
281 |
> |
const ROWSENT *re1 = (const ROWSENT *)p1; |
282 |
> |
const ROWSENT *re2 = (const ROWSENT *)p2; |
283 |
> |
double price_diff; |
284 |
|
|
285 |
< |
if (ij1[1] < 0) return(ij2[1] >= 0); |
286 |
< |
if (ij2[1] < 0) return(-1); |
287 |
< |
price_diff = pricerow(pm,ij1[0])[ij1[1]] - pricerow(pm,ij2[0])[ij2[1]]; |
285 |
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if (re1->d < 0) return(re2->d >= 0); |
286 |
> |
if (re2->d < 0) return(-1); |
287 |
> |
price_diff = re1->dc*pricerow(pm,re1->s)[re1->d] - |
288 |
> |
re2->dc*pricerow(pm,re2->s)[re2->d]; |
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if (price_diff > 0) return(1); |
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if (price_diff < 0) return(-1); |
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return(0); |
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const double maxamt = 1./(double)pm->ncols; |
300 |
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const double minamt = maxamt*1e-4; |
301 |
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double *src_cost; |
302 |
< |
short (*rord)[2]; |
302 |
> |
ROWSENT *rord; |
303 |
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struct { |
304 |
|
int s, d; /* source and destination */ |
305 |
< |
double price; /* price estimate per amount moved */ |
305 |
> |
double price; /* cost per amount moved */ |
306 |
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double amt; /* amount we can move */ |
307 |
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} cur, best; |
308 |
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int r2check, i, ri; |
311 |
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* destination price implies that another source is closer, so |
312 |
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* we can hold off considering more expensive options until |
313 |
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* some other (hopefully better) moves have been made. |
314 |
+ |
* A discount based on source remaining is supposed to prioritize |
315 |
+ |
* movement from large lobes, but it doesn't seem to do much, |
316 |
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* so we have it set to 1.0 at the moment. |
317 |
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*/ |
318 |
+ |
#define discount(qr) 1.0 |
319 |
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/* most promising row order */ |
320 |
< |
rord = (short (*)[2])malloc(sizeof(short)*2*pm->nrows); |
320 |
> |
rord = (ROWSENT *)malloc(sizeof(ROWSENT)*pm->nrows); |
321 |
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if (rord == NULL) |
322 |
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goto memerr; |
323 |
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for (ri = pm->nrows; ri--; ) { |
324 |
< |
rord[ri][0] = ri; |
325 |
< |
rord[ri][1] = -1; |
324 |
> |
rord[ri].s = ri; |
325 |
> |
rord[ri].d = -1; |
326 |
> |
rord[ri].dc = 1.f; |
327 |
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if (src_rem[ri] <= minamt) /* enough source material? */ |
328 |
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continue; |
329 |
|
for (i = 0; i < pm->ncols; i++) |
330 |
< |
if (dst_rem[ rord[ri][1] = psortrow(pm,ri)[i] ] > minamt) |
330 |
> |
if (dst_rem[ rord[ri].d = psortrow(pm,ri)[i] ] > minamt) |
331 |
|
break; |
332 |
|
if (i >= pm->ncols) { /* moved all we can? */ |
333 |
|
free(rord); |
334 |
|
return(.0); |
335 |
|
} |
336 |
+ |
rord[ri].dc = discount(src_rem[ri]); |
337 |
|
} |
338 |
|
if (pm->nrows > max2check) /* sort if too many sources */ |
339 |
< |
qsort_r(rord, pm->nrows, sizeof(short)*2, pm, &rmovcmp); |
339 |
> |
qsort_r(rord, pm->nrows, sizeof(ROWSENT), pm, &rmovcmp); |
340 |
|
/* allocate cost array */ |
341 |
|
src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
342 |
|
if (src_cost == NULL) |
349 |
|
r2check = max2check; /* put a limit on search */ |
350 |
|
for (ri = 0; ri < r2check; ri++) { /* check each source row */ |
351 |
|
double cost_others = 0; |
352 |
< |
cur.s = rord[ri][0]; |
353 |
< |
if ((cur.d = rord[ri][1]) < 0 || |
354 |
< |
(cur.price = pricerow(pm,cur.s)[cur.d]) >= best.price) { |
352 |
> |
cur.s = rord[ri].s; |
353 |
> |
if ((cur.d = rord[ri].d) < 0 || |
354 |
> |
rord[ri].dc*pricerow(pm,cur.s)[cur.d] >= best.price) { |
355 |
|
if (pm->nrows > max2check) break; /* sorted end */ |
356 |
|
continue; /* else skip this one */ |
357 |
|
} |
365 |
|
cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
366 |
|
- src_cost[i]; |
367 |
|
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
368 |
< |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
368 |
> |
/* discount effective price */ |
369 |
> |
cur.price = ( pricerow(pm,cur.s)[cur.d] + cost_others/cur.amt ) * |
370 |
> |
rord[ri].dc; |
371 |
|
if (cur.price < best.price) /* are we better than best? */ |
372 |
|
best = cur; |
373 |
|
} |
383 |
|
memerr: |
384 |
|
fprintf(stderr, "%s: Out of memory in migration_step()\n", progname); |
385 |
|
exit(1); |
386 |
+ |
#undef discount |
387 |
|
} |
388 |
|
|
389 |
|
/* Compute and insert migration along directed edge (may fork child) */ |
556 |
|
static void |
557 |
|
check_normal_incidence(void) |
558 |
|
{ |
559 |
< |
const int saved_nprocs = nprocs; |
560 |
< |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
561 |
< |
double bestd; |
562 |
< |
int n, i, j; |
559 |
> |
static const FVECT norm_vec = {.0, .0, 1.}; |
560 |
> |
const int saved_nprocs = nprocs; |
561 |
> |
RBFNODE *near_rbf, *mir_rbf, *rbf; |
562 |
> |
double bestd; |
563 |
> |
int n; |
564 |
|
|
565 |
|
if (dsf_list == NULL) |
566 |
|
return; /* XXX should be error? */ |
610 |
|
nprocs = 1; /* compute migration matrix */ |
611 |
|
if (mig_list != create_migration(mir_rbf, near_rbf)) |
612 |
|
exit(1); /* XXX should never happen! */ |
613 |
< |
n = 0; /* count migrating particles */ |
614 |
< |
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; |
613 |
> |
/* interpolate normal dist. */ |
614 |
> |
rbf = e_advect_rbf(mig_list, norm_vec, 2*near_rbf->nrbf); |
615 |
|
nprocs = saved_nprocs; /* final clean-up */ |
616 |
|
free(mir_rbf); |
617 |
|
free(mig_list); |