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#include <string.h> |
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#include <math.h> |
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#include "bsdfrep.h" |
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|
22 |
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#ifndef NEIGH_FACT2 |
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#define NEIGH_FACT2 0.1 /* empirical neighborhood distance weight */ |
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#endif |
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/* number of processes to run */ |
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int nprocs = 1; |
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/* number of children (-1 in child) */ |
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|
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#endif /* ! _WIN32 */ |
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|
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/* Compute normalized distribution scattering functions for comparison */ |
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static void |
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compute_nDSFs(const RBFNODE *rbf0, const RBFNODE *rbf1) |
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{ |
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const double nf0 = (GRIDRES*GRIDRES) / rbf0->vtotal; |
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const double nf1 = (GRIDRES*GRIDRES) / rbf1->vtotal; |
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int x, y; |
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FVECT dv; |
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|
151 |
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for (x = GRIDRES; x--; ) |
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for (y = GRIDRES; y--; ) { |
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ovec_from_pos(dv, x, y); /* cube root (brightness) */ |
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dsf_grid[x][y].val[0] = pow(nf0*eval_rbfrep(rbf0, dv), .3333); |
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dsf_grid[x][y].val[1] = pow(nf1*eval_rbfrep(rbf1, dv), .3333); |
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} |
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} |
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|
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/* Compute neighborhood distance-squared (dissimilarity) */ |
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static double |
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neighborhood_dist2(int x0, int y0, int x1, int y1) |
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{ |
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int rad = GRIDRES>>5; |
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double sum2 = 0.; |
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double d; |
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int p[4]; |
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int i, j; |
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/* check radius */ |
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p[0] = x0; p[1] = y0; p[2] = x1; p[3] = y1; |
170 |
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for (i = 4; i--; ) { |
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if (p[i] < rad) rad = p[i]; |
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if (GRIDRES-1-p[i] < rad) rad = GRIDRES-1-p[i]; |
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} |
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for (i = -rad; i <= rad; i++) |
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for (j = -rad; j <= rad; j++) { |
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d = dsf_grid[x0+i][y0+j].val[0] - |
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dsf_grid[x1+i][y1+j].val[1]; |
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sum2 += d*d; |
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} |
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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; |
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pm->prow[j] += d*d; |
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pm->prow[j] += d*d; |
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/* neighborhood difference */ |
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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) |
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{ |
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PRICEMAT *pm = (PRICEMAT *)b; |
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const short *ij1 = (const short *)p1; |
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const short *ij2 = (const short *)p2; |
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float price_diff; |
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const ROWSENT *re1 = (const ROWSENT *)p1; |
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const ROWSENT *re2 = (const ROWSENT *)p2; |
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double price_diff; |
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|
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if (ij1[1] < 0) return(ij2[1] >= 0); |
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if (ij2[1] < 0) return(-1); |
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price_diff = pricerow(pm,ij1[0])[ij1[1]] - pricerow(pm,ij2[0])[ij2[1]]; |
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if (re1->d < 0) return(re2->d >= 0); |
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if (re2->d < 0) return(-1); |
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price_diff = re1->dc*pricerow(pm,re1->s)[re1->d] - |
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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; |
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const double minamt = maxamt*1e-4; |
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double *src_cost; |
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short (*rord)[2]; |
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ROWSENT *rord; |
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struct { |
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int s, d; /* source and destination */ |
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< |
double price; /* price estimate per amount moved */ |
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double price; /* cost per amount moved */ |
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double amt; /* amount we can move */ |
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} cur, best; |
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int r2check, i, ri; |
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* destination price implies that another source is closer, so |
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* we can hold off considering more expensive options until |
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* some other (hopefully better) moves have been made. |
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* A discount based on source remaining is supposed to prioritize |
312 |
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* movement from large lobes, but it doesn't seem to do much, |
313 |
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* so we have it set to 1.0 at the moment. |
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*/ |
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#define discount(qr) 1.0 |
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/* most promising row order */ |
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rord = (short (*)[2])malloc(sizeof(short)*2*pm->nrows); |
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rord = (ROWSENT *)malloc(sizeof(ROWSENT)*pm->nrows); |
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if (rord == NULL) |
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goto memerr; |
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for (ri = pm->nrows; ri--; ) { |
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rord[ri][0] = ri; |
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rord[ri][1] = -1; |
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rord[ri].s = ri; |
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> |
rord[ri].d = -1; |
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rord[ri].dc = 1.f; |
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if (src_rem[ri] <= minamt) /* enough source material? */ |
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continue; |
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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) |
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break; |
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if (i >= pm->ncols) { /* moved all we can? */ |
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free(rord); |
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return(.0); |
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} |
333 |
+ |
rord[ri].dc = discount(src_rem[ri]); |
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} |
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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 |
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/* allocate cost array */ |
338 |
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src_cost = (double *)malloc(sizeof(double)*pm->nrows); |
339 |
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if (src_cost == NULL) |
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r2check = max2check; /* put a limit on search */ |
347 |
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for (ri = 0; ri < r2check; ri++) { /* check each source row */ |
348 |
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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 |
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if (pm->nrows > max2check) break; /* sorted end */ |
353 |
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continue; /* else skip this one */ |
354 |
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} |
362 |
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cost_others += min_cost(src_rem[i], dst_rem, pm, i) |
363 |
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- src_cost[i]; |
364 |
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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 |
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best = cur; |
370 |
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} |
380 |
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memerr: |
381 |
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fprintf(stderr, "%s: Out of memory in migration_step()\n", progname); |
382 |
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exit(1); |
383 |
+ |
#undef discount |
384 |
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} |
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 |
< |
static const FVECT norm_vec = {.0, .0, 1.}; |
595 |
> |
static FVECT norm_vec = {.0, .0, 1.}; |
596 |
|
const int saved_nprocs = nprocs; |
597 |
|
RBFNODE *near_rbf, *mir_rbf, *rbf; |
598 |
|
double bestd; |
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 |
< |
/* interpolate normal dist. */ |
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); |