| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id: pabopto2xml.c,v 2.16 2012/10/14 22:31:20 greg Exp $"; |
| 3 |
#endif |
| 4 |
/* |
| 5 |
* Convert PAB-Opto measurements to XML format using tensor tree representation |
| 6 |
* Employs Bonneel et al. Earth Mover's Distance interpolant. |
| 7 |
* |
| 8 |
* G.Ward |
| 9 |
*/ |
| 10 |
|
| 11 |
#ifndef _WIN32 |
| 12 |
#include <unistd.h> |
| 13 |
#include <sys/wait.h> |
| 14 |
#include <sys/mman.h> |
| 15 |
#endif |
| 16 |
#define _USE_MATH_DEFINES |
| 17 |
#include <stdio.h> |
| 18 |
#include <stdlib.h> |
| 19 |
#include <string.h> |
| 20 |
#include <ctype.h> |
| 21 |
#include <math.h> |
| 22 |
#include "bsdf.h" |
| 23 |
|
| 24 |
#define DEBUG 1 |
| 25 |
|
| 26 |
#ifndef GRIDRES |
| 27 |
#define GRIDRES 200 /* grid resolution per side */ |
| 28 |
#endif |
| 29 |
|
| 30 |
#define RSCA 2.7 /* radius scaling factor (empirical) */ |
| 31 |
|
| 32 |
/* convert to/from coded radians */ |
| 33 |
#define ANG2R(r) (int)((r)*((1<<16)/M_PI)) |
| 34 |
#define R2ANG(c) (((c)+.5)*(M_PI/(1<<16))) |
| 35 |
|
| 36 |
typedef struct { |
| 37 |
float vsum; /* DSF sum */ |
| 38 |
unsigned short nval; /* number of values in sum */ |
| 39 |
unsigned short crad; /* radius (coded angle) */ |
| 40 |
} GRIDVAL; /* grid value */ |
| 41 |
|
| 42 |
typedef struct { |
| 43 |
float peak; /* lobe value at peak */ |
| 44 |
unsigned short crad; /* radius (coded angle) */ |
| 45 |
unsigned char gx, gy; /* grid position */ |
| 46 |
} RBFVAL; /* radial basis function value */ |
| 47 |
|
| 48 |
struct s_rbfnode; /* forward declaration of RBF struct */ |
| 49 |
|
| 50 |
typedef struct s_migration { |
| 51 |
struct s_migration *next; /* next in global edge list */ |
| 52 |
struct s_rbfnode *rbfv[2]; /* from,to vertex */ |
| 53 |
struct s_migration *enxt[2]; /* next from,to sibling */ |
| 54 |
float mtx[1]; /* matrix (extends struct) */ |
| 55 |
} MIGRATION; /* migration link (winged edge structure) */ |
| 56 |
|
| 57 |
typedef struct s_rbfnode { |
| 58 |
struct s_rbfnode *next; /* next in global RBF list */ |
| 59 |
MIGRATION *ejl; /* edge list for this vertex */ |
| 60 |
FVECT invec; /* incident vector direction */ |
| 61 |
double vtotal; /* volume for normalization */ |
| 62 |
int nrbf; /* number of RBFs */ |
| 63 |
RBFVAL rbfa[1]; /* RBF array (extends struct) */ |
| 64 |
} RBFNODE; /* RBF representation of DSF @ 1 incidence */ |
| 65 |
|
| 66 |
/* our loaded grid for this incident angle */ |
| 67 |
static double theta_in_deg, phi_in_deg; |
| 68 |
static GRIDVAL dsf_grid[GRIDRES][GRIDRES]; |
| 69 |
|
| 70 |
/* all incident angles in-plane so far? */ |
| 71 |
static int single_plane_incident = -1; |
| 72 |
|
| 73 |
/* input/output orientations */ |
| 74 |
static int input_orient = 0; |
| 75 |
static int output_orient = 0; |
| 76 |
|
| 77 |
/* processed incident DSF measurements */ |
| 78 |
static RBFNODE *dsf_list = NULL; |
| 79 |
|
| 80 |
/* RBF-linking matrices (edges) */ |
| 81 |
static MIGRATION *mig_list = NULL; |
| 82 |
|
| 83 |
/* migration edges drawn in raster fashion */ |
| 84 |
static MIGRATION *mig_grid[GRIDRES][GRIDRES]; |
| 85 |
|
| 86 |
#define mtx_nrows(m) ((m)->rbfv[0]->nrbf) |
| 87 |
#define mtx_ncols(m) ((m)->rbfv[1]->nrbf) |
| 88 |
#define mtx_ndx(m,i,j) ((i)*mtx_ncols(m) + (j)) |
| 89 |
#define is_src(rbf,m) ((rbf) == (m)->rbfv[0]) |
| 90 |
#define is_dest(rbf,m) ((rbf) == (m)->rbfv[1]) |
| 91 |
#define nextedge(rbf,m) (m)->enxt[is_dest(rbf,m)] |
| 92 |
#define opp_rbf(rbf,m) (m)->rbfv[is_src(rbf,m)] |
| 93 |
|
| 94 |
#define round(v) (int)((v) + .5 - ((v) < -.5)) |
| 95 |
|
| 96 |
char *progname; |
| 97 |
|
| 98 |
#ifdef DEBUG /* percentage to cull (<0 to turn off) */ |
| 99 |
int pctcull = -1; |
| 100 |
#else |
| 101 |
int pctcull = 90; |
| 102 |
#endif |
| 103 |
/* number of processes to run */ |
| 104 |
int nprocs = 1; |
| 105 |
/* number of children (-1 in child) */ |
| 106 |
int nchild = 0; |
| 107 |
|
| 108 |
/* sampling order (set by data density) */ |
| 109 |
int samp_order = 0; |
| 110 |
|
| 111 |
/* Compute volume associated with Gaussian lobe */ |
| 112 |
static double |
| 113 |
rbf_volume(const RBFVAL *rbfp) |
| 114 |
{ |
| 115 |
double rad = R2ANG(rbfp->crad); |
| 116 |
|
| 117 |
return((2.*M_PI) * rbfp->peak * rad*rad); |
| 118 |
} |
| 119 |
|
| 120 |
/* Compute outgoing vector from grid position */ |
| 121 |
static void |
| 122 |
ovec_from_pos(FVECT vec, int xpos, int ypos) |
| 123 |
{ |
| 124 |
double uv[2]; |
| 125 |
double r2; |
| 126 |
|
| 127 |
SDsquare2disk(uv, (1./GRIDRES)*(xpos+.5), (1./GRIDRES)*(ypos+.5)); |
| 128 |
/* uniform hemispherical projection */ |
| 129 |
r2 = uv[0]*uv[0] + uv[1]*uv[1]; |
| 130 |
vec[0] = vec[1] = sqrt(2. - r2); |
| 131 |
vec[0] *= uv[0]; |
| 132 |
vec[1] *= uv[1]; |
| 133 |
vec[2] = output_orient*(1. - r2); |
| 134 |
} |
| 135 |
|
| 136 |
/* Compute grid position from normalized input/output vector */ |
| 137 |
static void |
| 138 |
pos_from_vec(int pos[2], const FVECT vec) |
| 139 |
{ |
| 140 |
double sq[2]; /* uniform hemispherical projection */ |
| 141 |
double norm = 1./sqrt(1. + fabs(vec[2])); |
| 142 |
|
| 143 |
SDdisk2square(sq, vec[0]*norm, vec[1]*norm); |
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|
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pos[0] = (int)(sq[0]*GRIDRES); |
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pos[1] = (int)(sq[1]*GRIDRES); |
| 147 |
} |
| 148 |
|
| 149 |
/* Evaluate RBF for DSF at the given normalized outgoing direction */ |
| 150 |
static double |
| 151 |
eval_rbfrep(const RBFNODE *rp, const FVECT outvec) |
| 152 |
{ |
| 153 |
double res = .0; |
| 154 |
const RBFVAL *rbfp; |
| 155 |
FVECT odir; |
| 156 |
double sig2; |
| 157 |
int n; |
| 158 |
|
| 159 |
if (rp == NULL) |
| 160 |
return(.0); |
| 161 |
rbfp = rp->rbfa; |
| 162 |
for (n = rp->nrbf; n--; rbfp++) { |
| 163 |
ovec_from_pos(odir, rbfp->gx, rbfp->gy); |
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sig2 = R2ANG(rbfp->crad); |
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sig2 = (DOT(odir,outvec) - 1.) / (sig2*sig2); |
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if (sig2 > -19.) |
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res += rbfp->peak * exp(sig2); |
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} |
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return(res); |
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} |
| 171 |
|
| 172 |
/* Insert a new directional scattering function in our global list */ |
| 173 |
static void |
| 174 |
insert_dsf(RBFNODE *newrbf) |
| 175 |
{ |
| 176 |
RBFNODE *rbf, *rbf_last; |
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/* check for redundant meas. */ |
| 178 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) |
| 179 |
if (DOT(rbf->invec, newrbf->invec) >= 1.-FTINY) { |
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fputs("Duplicate incident measurement (ignored)\n", stderr); |
| 181 |
free(newrbf); |
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return; |
| 183 |
} |
| 184 |
/* keep in ascending theta order */ |
| 185 |
for (rbf_last = NULL, rbf = dsf_list; |
| 186 |
single_plane_incident & (rbf != NULL); |
| 187 |
rbf_last = rbf, rbf = rbf->next) |
| 188 |
if (input_orient*rbf->invec[2] < input_orient*newrbf->invec[2]) |
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break; |
| 190 |
if (rbf_last == NULL) { |
| 191 |
newrbf->next = dsf_list; |
| 192 |
dsf_list = newrbf; |
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return; |
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} |
| 195 |
newrbf->next = rbf; |
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rbf_last->next = newrbf; |
| 197 |
} |
| 198 |
|
| 199 |
/* Count up filled nodes and build RBF representation from current grid */ |
| 200 |
static RBFNODE * |
| 201 |
make_rbfrep(void) |
| 202 |
{ |
| 203 |
int niter = 16; |
| 204 |
int minrad = ANG2R(pow(2., 1.-samp_order)); |
| 205 |
double lastVar, thisVar = 100.; |
| 206 |
int nn; |
| 207 |
RBFNODE *newnode; |
| 208 |
int i, j; |
| 209 |
|
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nn = 0; /* count selected bins */ |
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for (i = 0; i < GRIDRES; i++) |
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for (j = 0; j < GRIDRES; j++) |
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nn += dsf_grid[i][j].nval; |
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/* allocate RBF array */ |
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newnode = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(nn-1)); |
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if (newnode == NULL) { |
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fputs("Out of memory in make_rbfrep()\n", stderr); |
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exit(1); |
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} |
| 220 |
newnode->next = NULL; |
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newnode->ejl = NULL; |
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newnode->invec[2] = sin(M_PI/180.*theta_in_deg); |
| 223 |
newnode->invec[0] = cos(M_PI/180.*phi_in_deg)*newnode->invec[2]; |
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newnode->invec[1] = sin(M_PI/180.*phi_in_deg)*newnode->invec[2]; |
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newnode->invec[2] = input_orient*sqrt(1. - newnode->invec[2]*newnode->invec[2]); |
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newnode->vtotal = 0; |
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newnode->nrbf = nn; |
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nn = 0; /* fill RBF array */ |
| 229 |
for (i = 0; i < GRIDRES; i++) |
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for (j = 0; j < GRIDRES; j++) |
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if (dsf_grid[i][j].nval) { |
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newnode->rbfa[nn].peak = dsf_grid[i][j].vsum; |
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newnode->rbfa[nn].crad = RSCA*dsf_grid[i][j].crad + .5; |
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newnode->rbfa[nn].gx = i; |
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newnode->rbfa[nn].gy = j; |
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if (newnode->rbfa[nn].crad < minrad) |
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minrad = newnode->rbfa[nn].crad; |
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++nn; |
| 239 |
} |
| 240 |
/* iterate to improve interpolation accuracy */ |
| 241 |
do { |
| 242 |
double dsum = 0, dsum2 = 0; |
| 243 |
nn = 0; |
| 244 |
for (i = 0; i < GRIDRES; i++) |
| 245 |
for (j = 0; j < GRIDRES; j++) |
| 246 |
if (dsf_grid[i][j].nval) { |
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FVECT odir; |
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double corr; |
| 249 |
ovec_from_pos(odir, i, j); |
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newnode->rbfa[nn++].peak *= corr = |
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dsf_grid[i][j].vsum / |
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eval_rbfrep(newnode, odir); |
| 253 |
dsum += corr - 1.; |
| 254 |
dsum2 += (corr-1.)*(corr-1.); |
| 255 |
} |
| 256 |
lastVar = thisVar; |
| 257 |
thisVar = dsum2/(double)nn; |
| 258 |
#ifdef DEBUG |
| 259 |
fprintf(stderr, "Avg., RMS error: %.1f%% %.1f%%\n", |
| 260 |
100.*dsum/(double)nn, |
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100.*sqrt(thisVar)); |
| 262 |
#endif |
| 263 |
} while (--niter > 0 && lastVar-thisVar > 0.02*lastVar); |
| 264 |
|
| 265 |
nn = 0; /* compute sum for normalization */ |
| 266 |
while (nn < newnode->nrbf) |
| 267 |
newnode->vtotal += rbf_volume(&newnode->rbfa[nn++]); |
| 268 |
|
| 269 |
insert_dsf(newnode); |
| 270 |
/* adjust sampling resolution */ |
| 271 |
samp_order = log(2./R2ANG(minrad))/M_LN2 + .5; |
| 272 |
|
| 273 |
return(newnode); |
| 274 |
} |
| 275 |
|
| 276 |
/* Load a set of measurements corresponding to a particular incident angle */ |
| 277 |
static int |
| 278 |
load_pabopto_meas(const char *fname) |
| 279 |
{ |
| 280 |
FILE *fp = fopen(fname, "r"); |
| 281 |
int inp_is_DSF = -1; |
| 282 |
double new_phi, theta_out, phi_out, val; |
| 283 |
char buf[2048]; |
| 284 |
int n, c; |
| 285 |
|
| 286 |
if (fp == NULL) { |
| 287 |
fputs(fname, stderr); |
| 288 |
fputs(": cannot open\n", stderr); |
| 289 |
return(0); |
| 290 |
} |
| 291 |
memset(dsf_grid, 0, sizeof(dsf_grid)); |
| 292 |
#ifdef DEBUG |
| 293 |
fprintf(stderr, "Loading measurement file '%s'...\n", fname); |
| 294 |
#endif |
| 295 |
/* read header information */ |
| 296 |
while ((c = getc(fp)) == '#' || c == EOF) { |
| 297 |
if (fgets(buf, sizeof(buf), fp) == NULL) { |
| 298 |
fputs(fname, stderr); |
| 299 |
fputs(": unexpected EOF\n", stderr); |
| 300 |
fclose(fp); |
| 301 |
return(0); |
| 302 |
} |
| 303 |
if (!strcmp(buf, "format: theta phi DSF\n")) { |
| 304 |
inp_is_DSF = 1; |
| 305 |
continue; |
| 306 |
} |
| 307 |
if (!strcmp(buf, "format: theta phi BSDF\n")) { |
| 308 |
inp_is_DSF = 0; |
| 309 |
continue; |
| 310 |
} |
| 311 |
if (sscanf(buf, "intheta %lf", &theta_in_deg) == 1) |
| 312 |
continue; |
| 313 |
if (sscanf(buf, "inphi %lf", &new_phi) == 1) |
| 314 |
continue; |
| 315 |
if (sscanf(buf, "incident_angle %lf %lf", |
| 316 |
&theta_in_deg, &new_phi) == 2) |
| 317 |
continue; |
| 318 |
} |
| 319 |
if (inp_is_DSF < 0) { |
| 320 |
fputs(fname, stderr); |
| 321 |
fputs(": unknown format\n", stderr); |
| 322 |
fclose(fp); |
| 323 |
return(0); |
| 324 |
} |
| 325 |
if (!input_orient) /* check input orientation */ |
| 326 |
input_orient = 1 - 2*(theta_in_deg > 90.); |
| 327 |
else if (input_orient > 0 ^ theta_in_deg < 90.) { |
| 328 |
fputs("Cannot handle input angles on both sides of surface\n", |
| 329 |
stderr); |
| 330 |
exit(1); |
| 331 |
} |
| 332 |
if (single_plane_incident > 0) /* check if still in plane */ |
| 333 |
single_plane_incident = (round(new_phi) == round(phi_in_deg)); |
| 334 |
else if (single_plane_incident < 0) |
| 335 |
single_plane_incident = 1; |
| 336 |
phi_in_deg = new_phi; |
| 337 |
ungetc(c, fp); /* read actual data */ |
| 338 |
while (fscanf(fp, "%lf %lf %lf\n", &theta_out, &phi_out, &val) == 3) { |
| 339 |
FVECT ovec; |
| 340 |
int pos[2]; |
| 341 |
|
| 342 |
if (!output_orient) /* check output orientation */ |
| 343 |
output_orient = 1 - 2*(theta_out > 90.); |
| 344 |
else if (output_orient > 0 ^ theta_out < 90.) { |
| 345 |
fputs("Cannot handle output angles on both sides of surface\n", |
| 346 |
stderr); |
| 347 |
exit(1); |
| 348 |
} |
| 349 |
ovec[2] = sin(M_PI/180.*theta_out); |
| 350 |
ovec[0] = cos(M_PI/180.*phi_out) * ovec[2]; |
| 351 |
ovec[1] = sin(M_PI/180.*phi_out) * ovec[2]; |
| 352 |
ovec[2] = sqrt(1. - ovec[2]*ovec[2]); |
| 353 |
|
| 354 |
if (!inp_is_DSF) |
| 355 |
val *= ovec[2]; /* convert from BSDF to DSF */ |
| 356 |
|
| 357 |
pos_from_vec(pos, ovec); |
| 358 |
|
| 359 |
dsf_grid[pos[0]][pos[1]].vsum += val; |
| 360 |
dsf_grid[pos[0]][pos[1]].nval++; |
| 361 |
} |
| 362 |
n = 0; |
| 363 |
while ((c = getc(fp)) != EOF) |
| 364 |
n += !isspace(c); |
| 365 |
if (n) |
| 366 |
fprintf(stderr, |
| 367 |
"%s: warning: %d unexpected characters past EOD\n", |
| 368 |
fname, n); |
| 369 |
fclose(fp); |
| 370 |
return(1); |
| 371 |
} |
| 372 |
|
| 373 |
/* Compute radii for non-empty bins */ |
| 374 |
/* (distance to furthest empty bin for which non-empty bin is the closest) */ |
| 375 |
static void |
| 376 |
compute_radii(void) |
| 377 |
{ |
| 378 |
unsigned int fill_grid[GRIDRES][GRIDRES]; |
| 379 |
unsigned short fill_cnt[GRIDRES][GRIDRES]; |
| 380 |
FVECT ovec0, ovec1; |
| 381 |
double ang2, lastang2; |
| 382 |
int r, i, j, jn, ii, jj, inear, jnear; |
| 383 |
|
| 384 |
r = GRIDRES/2; /* proceed in zig-zag */ |
| 385 |
for (i = 0; i < GRIDRES; i++) |
| 386 |
for (jn = 0; jn < GRIDRES; jn++) { |
| 387 |
j = (i&1) ? jn : GRIDRES-1-jn; |
| 388 |
if (dsf_grid[i][j].nval) /* find empty grid pos. */ |
| 389 |
continue; |
| 390 |
ovec_from_pos(ovec0, i, j); |
| 391 |
inear = jnear = -1; /* find nearest non-empty */ |
| 392 |
lastang2 = M_PI*M_PI; |
| 393 |
for (ii = i-r; ii <= i+r; ii++) { |
| 394 |
if (ii < 0) continue; |
| 395 |
if (ii >= GRIDRES) break; |
| 396 |
for (jj = j-r; jj <= j+r; jj++) { |
| 397 |
if (jj < 0) continue; |
| 398 |
if (jj >= GRIDRES) break; |
| 399 |
if (!dsf_grid[ii][jj].nval) |
| 400 |
continue; |
| 401 |
ovec_from_pos(ovec1, ii, jj); |
| 402 |
ang2 = 2. - 2.*DOT(ovec0,ovec1); |
| 403 |
if (ang2 >= lastang2) |
| 404 |
continue; |
| 405 |
lastang2 = ang2; |
| 406 |
inear = ii; jnear = jj; |
| 407 |
} |
| 408 |
} |
| 409 |
if (inear < 0) { |
| 410 |
fputs("Could not find non-empty neighbor!\n", stderr); |
| 411 |
exit(1); |
| 412 |
} |
| 413 |
ang2 = sqrt(lastang2); |
| 414 |
r = ANG2R(ang2); /* record if > previous */ |
| 415 |
if (r > dsf_grid[inear][jnear].crad) |
| 416 |
dsf_grid[inear][jnear].crad = r; |
| 417 |
/* next search radius */ |
| 418 |
r = ang2*(2.*GRIDRES/M_PI) + 3; |
| 419 |
} |
| 420 |
/* blur radii over hemisphere */ |
| 421 |
memset(fill_grid, 0, sizeof(fill_grid)); |
| 422 |
memset(fill_cnt, 0, sizeof(fill_cnt)); |
| 423 |
for (i = 0; i < GRIDRES; i++) |
| 424 |
for (j = 0; j < GRIDRES; j++) { |
| 425 |
if (!dsf_grid[i][j].crad) |
| 426 |
continue; /* missing distance */ |
| 427 |
r = R2ANG(dsf_grid[i][j].crad)*(2.*RSCA*GRIDRES/M_PI); |
| 428 |
for (ii = i-r; ii <= i+r; ii++) { |
| 429 |
if (ii < 0) continue; |
| 430 |
if (ii >= GRIDRES) break; |
| 431 |
for (jj = j-r; jj <= j+r; jj++) { |
| 432 |
if (jj < 0) continue; |
| 433 |
if (jj >= GRIDRES) break; |
| 434 |
if ((ii-i)*(ii-i) + (jj-j)*(jj-j) > r*r) |
| 435 |
continue; |
| 436 |
fill_grid[ii][jj] += dsf_grid[i][j].crad; |
| 437 |
fill_cnt[ii][jj]++; |
| 438 |
} |
| 439 |
} |
| 440 |
} |
| 441 |
/* copy back blurred radii */ |
| 442 |
for (i = 0; i < GRIDRES; i++) |
| 443 |
for (j = 0; j < GRIDRES; j++) |
| 444 |
if (fill_cnt[i][j]) |
| 445 |
dsf_grid[i][j].crad = fill_grid[i][j]/fill_cnt[i][j]; |
| 446 |
} |
| 447 |
|
| 448 |
/* Cull points for more uniform distribution, leave all nval 0 or 1 */ |
| 449 |
static void |
| 450 |
cull_values(void) |
| 451 |
{ |
| 452 |
FVECT ovec0, ovec1; |
| 453 |
double maxang, maxang2; |
| 454 |
int i, j, ii, jj, r; |
| 455 |
/* simple greedy algorithm */ |
| 456 |
for (i = 0; i < GRIDRES; i++) |
| 457 |
for (j = 0; j < GRIDRES; j++) { |
| 458 |
if (!dsf_grid[i][j].nval) |
| 459 |
continue; |
| 460 |
if (!dsf_grid[i][j].crad) |
| 461 |
continue; /* shouldn't happen */ |
| 462 |
ovec_from_pos(ovec0, i, j); |
| 463 |
maxang = 2.*R2ANG(dsf_grid[i][j].crad); |
| 464 |
if (maxang > ovec0[2]) /* clamp near horizon */ |
| 465 |
maxang = ovec0[2]; |
| 466 |
r = maxang*(2.*GRIDRES/M_PI) + 1; |
| 467 |
maxang2 = maxang*maxang; |
| 468 |
for (ii = i-r; ii <= i+r; ii++) { |
| 469 |
if (ii < 0) continue; |
| 470 |
if (ii >= GRIDRES) break; |
| 471 |
for (jj = j-r; jj <= j+r; jj++) { |
| 472 |
if (jj < 0) continue; |
| 473 |
if (jj >= GRIDRES) break; |
| 474 |
if (!dsf_grid[ii][jj].nval) |
| 475 |
continue; |
| 476 |
if ((ii == i) & (jj == j)) |
| 477 |
continue; /* don't get self-absorbed */ |
| 478 |
ovec_from_pos(ovec1, ii, jj); |
| 479 |
if (2. - 2.*DOT(ovec0,ovec1) >= maxang2) |
| 480 |
continue; |
| 481 |
/* absorb sum */ |
| 482 |
dsf_grid[i][j].vsum += dsf_grid[ii][jj].vsum; |
| 483 |
dsf_grid[i][j].nval += dsf_grid[ii][jj].nval; |
| 484 |
/* keep value, though */ |
| 485 |
dsf_grid[ii][jj].vsum /= (float)dsf_grid[ii][jj].nval; |
| 486 |
dsf_grid[ii][jj].nval = 0; |
| 487 |
} |
| 488 |
} |
| 489 |
} |
| 490 |
/* final averaging pass */ |
| 491 |
for (i = 0; i < GRIDRES; i++) |
| 492 |
for (j = 0; j < GRIDRES; j++) |
| 493 |
if (dsf_grid[i][j].nval > 1) { |
| 494 |
dsf_grid[i][j].vsum /= (float)dsf_grid[i][j].nval; |
| 495 |
dsf_grid[i][j].nval = 1; |
| 496 |
} |
| 497 |
} |
| 498 |
|
| 499 |
/* Compute (and allocate) migration price matrix for optimization */ |
| 500 |
static float * |
| 501 |
price_routes(const RBFNODE *from_rbf, const RBFNODE *to_rbf) |
| 502 |
{ |
| 503 |
float *pmtx = (float *)malloc(sizeof(float) * |
| 504 |
from_rbf->nrbf * to_rbf->nrbf); |
| 505 |
FVECT *vto = (FVECT *)malloc(sizeof(FVECT) * to_rbf->nrbf); |
| 506 |
int i, j; |
| 507 |
|
| 508 |
if ((pmtx == NULL) | (vto == NULL)) { |
| 509 |
fputs("Out of memory in migration_costs()\n", stderr); |
| 510 |
exit(1); |
| 511 |
} |
| 512 |
for (j = to_rbf->nrbf; j--; ) /* save repetitive ops. */ |
| 513 |
ovec_from_pos(vto[j], to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy); |
| 514 |
|
| 515 |
for (i = from_rbf->nrbf; i--; ) { |
| 516 |
const double from_ang = R2ANG(from_rbf->rbfa[i].crad); |
| 517 |
FVECT vfrom; |
| 518 |
ovec_from_pos(vfrom, from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy); |
| 519 |
for (j = to_rbf->nrbf; j--; ) |
| 520 |
pmtx[i*to_rbf->nrbf + j] = acos(DOT(vfrom, vto[j])) + |
| 521 |
fabs(R2ANG(to_rbf->rbfa[j].crad) - from_ang); |
| 522 |
} |
| 523 |
free(vto); |
| 524 |
return(pmtx); |
| 525 |
} |
| 526 |
|
| 527 |
/* Comparison routine needed for sorting price row */ |
| 528 |
static const float *price_arr; |
| 529 |
static int |
| 530 |
msrt_cmp(const void *p1, const void *p2) |
| 531 |
{ |
| 532 |
float c1 = price_arr[*(const int *)p1]; |
| 533 |
float c2 = price_arr[*(const int *)p2]; |
| 534 |
|
| 535 |
if (c1 > c2) return(1); |
| 536 |
if (c1 < c2) return(-1); |
| 537 |
return(0); |
| 538 |
} |
| 539 |
|
| 540 |
/* Compute minimum (optimistic) cost for moving the given source material */ |
| 541 |
static double |
| 542 |
min_cost(double amt2move, const double *avail, const float *price, int n) |
| 543 |
{ |
| 544 |
static int *price_sort = NULL; |
| 545 |
static int n_alloc = 0; |
| 546 |
double total_cost = 0; |
| 547 |
int i; |
| 548 |
|
| 549 |
if (amt2move <= FTINY) /* pre-emptive check */ |
| 550 |
return(0.); |
| 551 |
if (n > n_alloc) { /* (re)allocate sort array */ |
| 552 |
if (n_alloc) free(price_sort); |
| 553 |
price_sort = (int *)malloc(sizeof(int)*n); |
| 554 |
if (price_sort == NULL) { |
| 555 |
fputs("Out of memory in min_cost()\n", stderr); |
| 556 |
exit(1); |
| 557 |
} |
| 558 |
n_alloc = n; |
| 559 |
} |
| 560 |
for (i = n; i--; ) |
| 561 |
price_sort[i] = i; |
| 562 |
price_arr = price; |
| 563 |
qsort(price_sort, n, sizeof(int), &msrt_cmp); |
| 564 |
/* move cheapest first */ |
| 565 |
for (i = 0; i < n && amt2move > FTINY; i++) { |
| 566 |
int d = price_sort[i]; |
| 567 |
double amt = (amt2move < avail[d]) ? amt2move : avail[d]; |
| 568 |
|
| 569 |
total_cost += amt * price[d]; |
| 570 |
amt2move -= amt; |
| 571 |
} |
| 572 |
return(total_cost); |
| 573 |
} |
| 574 |
|
| 575 |
/* Take a step in migration by choosing optimal bucket to transfer */ |
| 576 |
static double |
| 577 |
migration_step(MIGRATION *mig, double *src_rem, double *dst_rem, const float *pmtx) |
| 578 |
{ |
| 579 |
static double *src_cost = NULL; |
| 580 |
static int n_alloc = 0; |
| 581 |
const double maxamt = .1; /* 2./(mtx_nrows(mig)*mtx_ncols(mig)); */ |
| 582 |
double amt = 0; |
| 583 |
struct { |
| 584 |
int s, d; /* source and destination */ |
| 585 |
double price; /* price estimate per amount moved */ |
| 586 |
double amt; /* amount we can move */ |
| 587 |
} cur, best; |
| 588 |
int i; |
| 589 |
|
| 590 |
if (mtx_nrows(mig) > n_alloc) { /* allocate cost array */ |
| 591 |
if (n_alloc) |
| 592 |
free(src_cost); |
| 593 |
src_cost = (double *)malloc(sizeof(double)*mtx_nrows(mig)); |
| 594 |
if (src_cost == NULL) { |
| 595 |
fputs("Out of memory in migration_step()\n", stderr); |
| 596 |
exit(1); |
| 597 |
} |
| 598 |
n_alloc = mtx_nrows(mig); |
| 599 |
} |
| 600 |
for (i = mtx_nrows(mig); i--; ) /* starting costs for diff. */ |
| 601 |
src_cost[i] = min_cost(src_rem[i], dst_rem, |
| 602 |
pmtx+i*mtx_ncols(mig), mtx_ncols(mig)); |
| 603 |
|
| 604 |
/* find best source & dest. */ |
| 605 |
best.s = best.d = -1; best.price = FHUGE; best.amt = 0; |
| 606 |
for (cur.s = mtx_nrows(mig); cur.s--; ) { |
| 607 |
const float *price = pmtx + cur.s*mtx_ncols(mig); |
| 608 |
double cost_others = 0; |
| 609 |
if (src_rem[cur.s] <= FTINY) |
| 610 |
continue; |
| 611 |
cur.d = -1; /* examine cheapest dest. */ |
| 612 |
for (i = mtx_ncols(mig); i--; ) |
| 613 |
if (dst_rem[i] > FTINY && |
| 614 |
(cur.d < 0 || price[i] < price[cur.d])) |
| 615 |
cur.d = i; |
| 616 |
if (cur.d < 0) |
| 617 |
return(.0); |
| 618 |
if ((cur.price = price[cur.d]) >= best.price) |
| 619 |
continue; /* no point checking further */ |
| 620 |
cur.amt = (src_rem[cur.s] < dst_rem[cur.d]) ? |
| 621 |
src_rem[cur.s] : dst_rem[cur.d]; |
| 622 |
if (cur.amt > maxamt) cur.amt = maxamt; |
| 623 |
dst_rem[cur.d] -= cur.amt; /* add up differential costs */ |
| 624 |
for (i = mtx_nrows(mig); i--; ) { |
| 625 |
if (i == cur.s) continue; |
| 626 |
cost_others += min_cost(src_rem[i], dst_rem, price, mtx_ncols(mig)) |
| 627 |
- src_cost[i]; |
| 628 |
} |
| 629 |
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
| 630 |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
| 631 |
if (cur.price < best.price) /* are we better than best? */ |
| 632 |
best = cur; |
| 633 |
} |
| 634 |
if ((best.s < 0) | (best.d < 0)) |
| 635 |
return(.0); |
| 636 |
/* make the actual move */ |
| 637 |
mig->mtx[mtx_ndx(mig,best.s,best.d)] += best.amt; |
| 638 |
src_rem[best.s] -= best.amt; |
| 639 |
dst_rem[best.d] -= best.amt; |
| 640 |
return(best.amt); |
| 641 |
} |
| 642 |
|
| 643 |
#ifdef DEBUG |
| 644 |
static char * |
| 645 |
thetaphi(const FVECT v) |
| 646 |
{ |
| 647 |
static char buf[128]; |
| 648 |
double theta, phi; |
| 649 |
|
| 650 |
theta = 180./M_PI*acos(v[2]); |
| 651 |
phi = 180./M_PI*atan2(v[1],v[0]); |
| 652 |
sprintf(buf, "(%.0f,%.0f)", theta, phi); |
| 653 |
|
| 654 |
return(buf); |
| 655 |
} |
| 656 |
#endif |
| 657 |
|
| 658 |
/* Create a new migration holder (sharing memory for multiprocessing) */ |
| 659 |
static MIGRATION * |
| 660 |
new_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
| 661 |
{ |
| 662 |
size_t memlen = sizeof(MIGRATION) + |
| 663 |
sizeof(float)*(from_rbf->nrbf*to_rbf->nrbf - 1); |
| 664 |
MIGRATION *newmig; |
| 665 |
#ifdef _WIN32 |
| 666 |
newmig = (MIGRATION *)malloc(memlen); |
| 667 |
#else |
| 668 |
if (nprocs <= 1) { /* single process? */ |
| 669 |
newmig = (MIGRATION *)malloc(memlen); |
| 670 |
} else { /* else need to share memory */ |
| 671 |
newmig = (MIGRATION *)mmap(NULL, memlen, PROT_READ|PROT_WRITE, |
| 672 |
MAP_ANON|MAP_SHARED, -1, 0); |
| 673 |
if ((void *)newmig == MAP_FAILED) |
| 674 |
newmig = NULL; |
| 675 |
} |
| 676 |
#endif |
| 677 |
if (newmig == NULL) { |
| 678 |
fprintf(stderr, "%s: cannot allocate new migration\n", progname); |
| 679 |
exit(1); |
| 680 |
} |
| 681 |
newmig->rbfv[0] = from_rbf; |
| 682 |
newmig->rbfv[1] = to_rbf; |
| 683 |
/* insert in edge lists */ |
| 684 |
newmig->enxt[0] = from_rbf->ejl; |
| 685 |
from_rbf->ejl = newmig; |
| 686 |
newmig->enxt[1] = to_rbf->ejl; |
| 687 |
to_rbf->ejl = newmig; |
| 688 |
newmig->next = mig_list; /* push onto global list */ |
| 689 |
return(mig_list = newmig); |
| 690 |
} |
| 691 |
|
| 692 |
#ifdef _WIN32 |
| 693 |
#define await_children(n) (void)(n) |
| 694 |
#define run_subprocess() 0 |
| 695 |
#define end_subprocess() (void)0 |
| 696 |
#else |
| 697 |
|
| 698 |
/* Wait for the specified number of child processes to complete */ |
| 699 |
static void |
| 700 |
await_children(int n) |
| 701 |
{ |
| 702 |
int exit_status = 0; |
| 703 |
|
| 704 |
if (n > nchild) |
| 705 |
n = nchild; |
| 706 |
while (n-- > 0) { |
| 707 |
int status; |
| 708 |
if (wait(&status) < 0) { |
| 709 |
fprintf(stderr, "%s: missing child(ren)!\n", progname); |
| 710 |
nchild = 0; |
| 711 |
break; |
| 712 |
} |
| 713 |
--nchild; |
| 714 |
if (status) { /* something wrong */ |
| 715 |
if ((status = WEXITSTATUS(status))) |
| 716 |
exit_status = status; |
| 717 |
else |
| 718 |
exit_status += !exit_status; |
| 719 |
fprintf(stderr, "%s: subprocess died\n", progname); |
| 720 |
n = nchild; /* wait for the rest */ |
| 721 |
} |
| 722 |
} |
| 723 |
if (exit_status) |
| 724 |
exit(exit_status); |
| 725 |
} |
| 726 |
|
| 727 |
/* Start child process if multiprocessing selected */ |
| 728 |
static pid_t |
| 729 |
run_subprocess(void) |
| 730 |
{ |
| 731 |
int status; |
| 732 |
pid_t pid; |
| 733 |
|
| 734 |
if (nprocs <= 1) /* any children requested? */ |
| 735 |
return(0); |
| 736 |
await_children(nchild + 1 - nprocs); /* free up child process */ |
| 737 |
if ((pid = fork())) { |
| 738 |
if (pid < 0) { |
| 739 |
fprintf(stderr, "%s: cannot fork subprocess\n", |
| 740 |
progname); |
| 741 |
exit(1); |
| 742 |
} |
| 743 |
++nchild; /* subprocess started */ |
| 744 |
return(pid); |
| 745 |
} |
| 746 |
nchild = -1; |
| 747 |
return(0); /* put child to work */ |
| 748 |
} |
| 749 |
|
| 750 |
/* If we are in subprocess, call exit */ |
| 751 |
#define end_subprocess() if (nchild < 0) _exit(0); else |
| 752 |
|
| 753 |
#endif /* ! _WIN32 */ |
| 754 |
|
| 755 |
/* Compute and insert migration along directed edge (may fork child) */ |
| 756 |
static MIGRATION * |
| 757 |
create_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
| 758 |
{ |
| 759 |
const double end_thresh = 0.1/(from_rbf->nrbf*to_rbf->nrbf); |
| 760 |
const double rel_thresh = 0.0001; |
| 761 |
float *pmtx; |
| 762 |
MIGRATION *newmig; |
| 763 |
double *src_rem, *dst_rem; |
| 764 |
double total_rem = 1., move_amt; |
| 765 |
int i; |
| 766 |
/* check if exists already */ |
| 767 |
for (newmig = from_rbf->ejl; newmig != NULL; |
| 768 |
newmig = nextedge(from_rbf,newmig)) |
| 769 |
if (newmig->rbfv[1] == to_rbf) |
| 770 |
return(NULL); |
| 771 |
/* else allocate */ |
| 772 |
newmig = new_migration(from_rbf, to_rbf); |
| 773 |
if (run_subprocess()) |
| 774 |
return(newmig); /* child continues */ |
| 775 |
pmtx = price_routes(from_rbf, to_rbf); |
| 776 |
src_rem = (double *)malloc(sizeof(double)*from_rbf->nrbf); |
| 777 |
dst_rem = (double *)malloc(sizeof(double)*to_rbf->nrbf); |
| 778 |
if ((src_rem == NULL) | (dst_rem == NULL)) { |
| 779 |
fputs("Out of memory in create_migration()\n", stderr); |
| 780 |
exit(1); |
| 781 |
} |
| 782 |
#ifdef DEBUG |
| 783 |
fprintf(stderr, "Building path from (theta,phi) %s ", |
| 784 |
thetaphi(from_rbf->invec)); |
| 785 |
fprintf(stderr, "to %s", thetaphi(to_rbf->invec)); |
| 786 |
/* if (nchild) */ fputc('\n', stderr); |
| 787 |
#endif |
| 788 |
/* starting quantities */ |
| 789 |
memset(newmig->mtx, 0, sizeof(float)*from_rbf->nrbf*to_rbf->nrbf); |
| 790 |
for (i = from_rbf->nrbf; i--; ) |
| 791 |
src_rem[i] = rbf_volume(&from_rbf->rbfa[i]) / from_rbf->vtotal; |
| 792 |
for (i = to_rbf->nrbf; i--; ) |
| 793 |
dst_rem[i] = rbf_volume(&to_rbf->rbfa[i]) / to_rbf->vtotal; |
| 794 |
do { /* move a bit at a time */ |
| 795 |
move_amt = migration_step(newmig, src_rem, dst_rem, pmtx); |
| 796 |
total_rem -= move_amt; |
| 797 |
#ifdef DEBUG |
| 798 |
if (!nchild) |
| 799 |
/* fputc('.', stderr); */ |
| 800 |
fprintf(stderr, "%.9f remaining...\r", total_rem); |
| 801 |
#endif |
| 802 |
} while ((total_rem > end_thresh) & (move_amt > rel_thresh*total_rem)); |
| 803 |
#ifdef DEBUG |
| 804 |
if (!nchild) fputs("\ndone.\n", stderr); |
| 805 |
#endif |
| 806 |
|
| 807 |
free(pmtx); /* free working arrays */ |
| 808 |
free(src_rem); |
| 809 |
free(dst_rem); |
| 810 |
for (i = from_rbf->nrbf; i--; ) { /* normalize final matrix */ |
| 811 |
float nf = rbf_volume(&from_rbf->rbfa[i]); |
| 812 |
int j; |
| 813 |
if (nf <= FTINY) continue; |
| 814 |
nf = from_rbf->vtotal / nf; |
| 815 |
for (j = to_rbf->nrbf; j--; ) |
| 816 |
newmig->mtx[mtx_ndx(newmig,i,j)] *= nf; |
| 817 |
} |
| 818 |
end_subprocess(); /* exit here if subprocess */ |
| 819 |
return(newmig); |
| 820 |
} |
| 821 |
|
| 822 |
/* Get triangle surface orientation (unnormalized) */ |
| 823 |
static void |
| 824 |
tri_orient(FVECT vres, const FVECT v1, const FVECT v2, const FVECT v3) |
| 825 |
{ |
| 826 |
FVECT v2minus1, v3minus2; |
| 827 |
|
| 828 |
VSUB(v2minus1, v2, v1); |
| 829 |
VSUB(v3minus2, v3, v2); |
| 830 |
VCROSS(vres, v2minus1, v3minus2); |
| 831 |
} |
| 832 |
|
| 833 |
/* Determine if vertex order is reversed (inward normal) */ |
| 834 |
static int |
| 835 |
is_rev_tri(const FVECT v1, const FVECT v2, const FVECT v3) |
| 836 |
{ |
| 837 |
FVECT tor; |
| 838 |
|
| 839 |
tri_orient(tor, v1, v2, v3); |
| 840 |
|
| 841 |
return(DOT(tor, v2) < 0.); |
| 842 |
} |
| 843 |
|
| 844 |
/* Find vertices completing triangles on either side of the given edge */ |
| 845 |
static int |
| 846 |
get_triangles(RBFNODE *rbfv[2], const MIGRATION *mig) |
| 847 |
{ |
| 848 |
const MIGRATION *ej, *ej2; |
| 849 |
RBFNODE *tv; |
| 850 |
|
| 851 |
rbfv[0] = rbfv[1] = NULL; |
| 852 |
if (mig == NULL) |
| 853 |
return(0); |
| 854 |
for (ej = mig->rbfv[0]->ejl; ej != NULL; |
| 855 |
ej = nextedge(mig->rbfv[0],ej)) { |
| 856 |
if (ej == mig) |
| 857 |
continue; |
| 858 |
tv = opp_rbf(mig->rbfv[0],ej); |
| 859 |
for (ej2 = tv->ejl; ej2 != NULL; ej2 = nextedge(tv,ej2)) |
| 860 |
if (opp_rbf(tv,ej2) == mig->rbfv[1]) { |
| 861 |
rbfv[is_rev_tri(mig->rbfv[0]->invec, |
| 862 |
mig->rbfv[1]->invec, |
| 863 |
tv->invec)] = tv; |
| 864 |
break; |
| 865 |
} |
| 866 |
} |
| 867 |
return((rbfv[0] != NULL) + (rbfv[1] != NULL)); |
| 868 |
} |
| 869 |
|
| 870 |
/* Check if prospective vertex would create overlapping triangle */ |
| 871 |
static int |
| 872 |
overlaps_tri(const RBFNODE *bv0, const RBFNODE *bv1, const RBFNODE *pv) |
| 873 |
{ |
| 874 |
const MIGRATION *ej; |
| 875 |
RBFNODE *vother[2]; |
| 876 |
int im_rev; |
| 877 |
/* find shared edge in mesh */ |
| 878 |
for (ej = pv->ejl; ej != NULL; ej = nextedge(pv,ej)) { |
| 879 |
const RBFNODE *tv = opp_rbf(pv,ej); |
| 880 |
if (tv == bv0) { |
| 881 |
im_rev = is_rev_tri(ej->rbfv[0]->invec, |
| 882 |
ej->rbfv[1]->invec, bv1->invec); |
| 883 |
break; |
| 884 |
} |
| 885 |
if (tv == bv1) { |
| 886 |
im_rev = is_rev_tri(ej->rbfv[0]->invec, |
| 887 |
ej->rbfv[1]->invec, bv0->invec); |
| 888 |
break; |
| 889 |
} |
| 890 |
} |
| 891 |
if (!get_triangles(vother, ej)) /* triangle on same side? */ |
| 892 |
return(0); |
| 893 |
return(vother[im_rev] != NULL); |
| 894 |
} |
| 895 |
|
| 896 |
/* Find context hull vertex to complete triangle (oriented call) */ |
| 897 |
static RBFNODE * |
| 898 |
find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1) |
| 899 |
{ |
| 900 |
FVECT vmid, vejn, vp; |
| 901 |
RBFNODE *rbf, *rbfbest = NULL; |
| 902 |
double dprod, area2, bestarea2 = FHUGE, bestdprod = -.5; |
| 903 |
|
| 904 |
VSUB(vejn, rbf1->invec, rbf0->invec); |
| 905 |
VADD(vmid, rbf0->invec, rbf1->invec); |
| 906 |
if (normalize(vejn) == 0 || normalize(vmid) == 0) |
| 907 |
return(NULL); |
| 908 |
/* XXX exhaustive search */ |
| 909 |
/* Find triangle with minimum rotation from perpendicular */ |
| 910 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
| 911 |
if ((rbf == rbf0) | (rbf == rbf1)) |
| 912 |
continue; |
| 913 |
tri_orient(vp, rbf0->invec, rbf1->invec, rbf->invec); |
| 914 |
if (DOT(vp, vmid) <= FTINY) |
| 915 |
continue; /* wrong orientation */ |
| 916 |
area2 = .25*DOT(vp,vp); |
| 917 |
VSUB(vp, rbf->invec, rbf0->invec); |
| 918 |
dprod = -DOT(vp, vejn); |
| 919 |
VSUM(vp, vp, vejn, dprod); /* above guarantees non-zero */ |
| 920 |
dprod = DOT(vp, vmid) / VLEN(vp); |
| 921 |
if (dprod <= bestdprod + FTINY*(1 - 2*(area2 < bestarea2))) |
| 922 |
continue; /* found better already */ |
| 923 |
if (overlaps_tri(rbf0, rbf1, rbf)) |
| 924 |
continue; /* overlaps another triangle */ |
| 925 |
rbfbest = rbf; |
| 926 |
bestdprod = dprod; /* new one to beat */ |
| 927 |
bestarea2 = area2; |
| 928 |
} |
| 929 |
return(rbfbest); |
| 930 |
} |
| 931 |
|
| 932 |
/* Create new migration edge and grow mesh recursively around it */ |
| 933 |
static void |
| 934 |
mesh_from_edge(MIGRATION *edge) |
| 935 |
{ |
| 936 |
MIGRATION *ej0, *ej1; |
| 937 |
RBFNODE *tvert[2]; |
| 938 |
|
| 939 |
if (edge == NULL) |
| 940 |
return; |
| 941 |
/* triangle on either side? */ |
| 942 |
get_triangles(tvert, edge); |
| 943 |
if (tvert[0] == NULL) { /* grow mesh on right */ |
| 944 |
tvert[0] = find_chull_vert(edge->rbfv[0], edge->rbfv[1]); |
| 945 |
if (tvert[0] != NULL) { |
| 946 |
if (tvert[0] > edge->rbfv[0]) |
| 947 |
ej0 = create_migration(edge->rbfv[0], tvert[0]); |
| 948 |
else |
| 949 |
ej0 = create_migration(tvert[0], edge->rbfv[0]); |
| 950 |
if (tvert[0] > edge->rbfv[1]) |
| 951 |
ej1 = create_migration(edge->rbfv[1], tvert[0]); |
| 952 |
else |
| 953 |
ej1 = create_migration(tvert[0], edge->rbfv[1]); |
| 954 |
mesh_from_edge(ej0); |
| 955 |
mesh_from_edge(ej1); |
| 956 |
} |
| 957 |
} else if (tvert[1] == NULL) { /* grow mesh on left */ |
| 958 |
tvert[1] = find_chull_vert(edge->rbfv[1], edge->rbfv[0]); |
| 959 |
if (tvert[1] != NULL) { |
| 960 |
if (tvert[1] > edge->rbfv[0]) |
| 961 |
ej0 = create_migration(edge->rbfv[0], tvert[1]); |
| 962 |
else |
| 963 |
ej0 = create_migration(tvert[1], edge->rbfv[0]); |
| 964 |
if (tvert[1] > edge->rbfv[1]) |
| 965 |
ej1 = create_migration(edge->rbfv[1], tvert[1]); |
| 966 |
else |
| 967 |
ej1 = create_migration(tvert[1], edge->rbfv[1]); |
| 968 |
mesh_from_edge(ej0); |
| 969 |
mesh_from_edge(ej1); |
| 970 |
} |
| 971 |
} |
| 972 |
} |
| 973 |
|
| 974 |
#ifdef DEBUG |
| 975 |
#include "random.h" |
| 976 |
#include "bmpfile.h" |
| 977 |
/* Hash pointer to byte value (must return 0 for NULL) */ |
| 978 |
static int |
| 979 |
byte_hash(const void *p) |
| 980 |
{ |
| 981 |
size_t h = (size_t)p; |
| 982 |
h ^= (size_t)p >> 8; |
| 983 |
h ^= (size_t)p >> 16; |
| 984 |
h ^= (size_t)p >> 24; |
| 985 |
return(h & 0xff); |
| 986 |
} |
| 987 |
/* Write out BMP image showing edges */ |
| 988 |
static void |
| 989 |
write_edge_image(const char *fname) |
| 990 |
{ |
| 991 |
BMPHeader *hdr = BMPmappedHeader(GRIDRES, GRIDRES, 0, 256); |
| 992 |
BMPWriter *wtr; |
| 993 |
int i, j; |
| 994 |
|
| 995 |
fprintf(stderr, "Writing incident mesh drawing to '%s'\n", fname); |
| 996 |
hdr->compr = BI_RLE8; |
| 997 |
for (i = 256; --i; ) { /* assign random color map */ |
| 998 |
hdr->palette[i].r = random() & 0xff; |
| 999 |
hdr->palette[i].g = random() & 0xff; |
| 1000 |
hdr->palette[i].b = random() & 0xff; |
| 1001 |
/* reject dark colors */ |
| 1002 |
i += (hdr->palette[i].r + hdr->palette[i].g + |
| 1003 |
hdr->palette[i].b < 128); |
| 1004 |
} |
| 1005 |
hdr->palette[0].r = hdr->palette[0].g = hdr->palette[0].b = 0; |
| 1006 |
/* open output */ |
| 1007 |
wtr = BMPopenOutputFile(fname, hdr); |
| 1008 |
if (wtr == NULL) { |
| 1009 |
free(hdr); |
| 1010 |
return; |
| 1011 |
} |
| 1012 |
for (i = 0; i < GRIDRES; i++) { /* write scanlines */ |
| 1013 |
for (j = 0; j < GRIDRES; j++) |
| 1014 |
wtr->scanline[j] = byte_hash(mig_grid[i][j]); |
| 1015 |
if (BMPwriteScanline(wtr) != BIR_OK) |
| 1016 |
break; |
| 1017 |
} |
| 1018 |
BMPcloseOutput(wtr); /* close & clean up */ |
| 1019 |
} |
| 1020 |
#endif |
| 1021 |
|
| 1022 |
/* Draw edge list into mig_grid array */ |
| 1023 |
static void |
| 1024 |
draw_edges() |
| 1025 |
{ |
| 1026 |
int nnull = 0, ntot = 0; |
| 1027 |
MIGRATION *ej; |
| 1028 |
int p0[2], p1[2]; |
| 1029 |
|
| 1030 |
/* memset(mig_grid, 0, sizeof(mig_grid)); */ |
| 1031 |
for (ej = mig_list; ej != NULL; ej = ej->next) { |
| 1032 |
++ntot; |
| 1033 |
pos_from_vec(p0, ej->rbfv[0]->invec); |
| 1034 |
pos_from_vec(p1, ej->rbfv[1]->invec); |
| 1035 |
if ((p0[0] == p1[0]) & (p0[1] == p1[1])) { |
| 1036 |
++nnull; |
| 1037 |
mig_grid[p0[0]][p0[1]] = ej; |
| 1038 |
continue; |
| 1039 |
} |
| 1040 |
if (abs(p1[0]-p0[0]) > abs(p1[1]-p0[1])) { |
| 1041 |
const int xstep = 2*(p1[0] > p0[0]) - 1; |
| 1042 |
const double ystep = (double)((p1[1]-p0[1])*xstep) / |
| 1043 |
(double)(p1[0]-p0[0]); |
| 1044 |
int x; |
| 1045 |
double y; |
| 1046 |
for (x = p0[0], y = p0[1]+.5; x != p1[0]; |
| 1047 |
x += xstep, y += ystep) |
| 1048 |
mig_grid[x][(int)y] = ej; |
| 1049 |
mig_grid[x][(int)y] = ej; |
| 1050 |
} else { |
| 1051 |
const int ystep = 2*(p1[1] > p0[1]) - 1; |
| 1052 |
const double xstep = (double)((p1[0]-p0[0])*ystep) / |
| 1053 |
(double)(p1[1]-p0[1]); |
| 1054 |
int y; |
| 1055 |
double x; |
| 1056 |
for (y = p0[1], x = p0[0]+.5; y != p1[1]; |
| 1057 |
y += ystep, x += xstep) |
| 1058 |
mig_grid[(int)x][y] = ej; |
| 1059 |
mig_grid[(int)x][y] = ej; |
| 1060 |
} |
| 1061 |
} |
| 1062 |
if (nnull) |
| 1063 |
fprintf(stderr, "Warning: %d of %d edges are null\n", |
| 1064 |
nnull, ntot); |
| 1065 |
#ifdef DEBUG |
| 1066 |
write_edge_image("bsdf_edges.bmp"); |
| 1067 |
#endif |
| 1068 |
} |
| 1069 |
|
| 1070 |
/* Build our triangle mesh from recorded RBFs */ |
| 1071 |
static void |
| 1072 |
build_mesh() |
| 1073 |
{ |
| 1074 |
double best2 = M_PI*M_PI; |
| 1075 |
RBFNODE *shrt_edj[2]; |
| 1076 |
RBFNODE *rbf0, *rbf1; |
| 1077 |
/* check if isotropic */ |
| 1078 |
if (single_plane_incident) { |
| 1079 |
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
| 1080 |
if (rbf0->next != NULL) |
| 1081 |
create_migration(rbf0, rbf0->next); |
| 1082 |
await_children(nchild); |
| 1083 |
return; |
| 1084 |
} |
| 1085 |
/* start w/ shortest edge */ |
| 1086 |
shrt_edj[0] = shrt_edj[1] = NULL; |
| 1087 |
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
| 1088 |
for (rbf1 = rbf0->next; rbf1 != NULL; rbf1 = rbf1->next) { |
| 1089 |
double dist2 = 2. - 2.*DOT(rbf0->invec,rbf1->invec); |
| 1090 |
if (dist2 < best2) { |
| 1091 |
shrt_edj[0] = rbf0; |
| 1092 |
shrt_edj[1] = rbf1; |
| 1093 |
best2 = dist2; |
| 1094 |
} |
| 1095 |
} |
| 1096 |
if (shrt_edj[0] == NULL) { |
| 1097 |
fputs("Cannot find shortest edge\n", stderr); |
| 1098 |
exit(1); |
| 1099 |
} |
| 1100 |
/* build mesh from this edge */ |
| 1101 |
if (shrt_edj[0] < shrt_edj[1]) |
| 1102 |
mesh_from_edge(create_migration(shrt_edj[0], shrt_edj[1])); |
| 1103 |
else |
| 1104 |
mesh_from_edge(create_migration(shrt_edj[1], shrt_edj[0])); |
| 1105 |
/* complete migrations */ |
| 1106 |
await_children(nchild); |
| 1107 |
/* draw edge list into grid */ |
| 1108 |
draw_edges(); |
| 1109 |
} |
| 1110 |
|
| 1111 |
/* Identify enclosing triangle for this position (flood fill raster check) */ |
| 1112 |
static int |
| 1113 |
identify_tri(MIGRATION *miga[3], unsigned char vmap[GRIDRES][(GRIDRES+7)/8], |
| 1114 |
int px, int py) |
| 1115 |
{ |
| 1116 |
const int btest = 1<<(py&07); |
| 1117 |
|
| 1118 |
if (vmap[px][py>>3] & btest) /* already visited here? */ |
| 1119 |
return(1); |
| 1120 |
/* else mark it */ |
| 1121 |
vmap[px][py>>3] |= btest; |
| 1122 |
|
| 1123 |
if (mig_grid[px][py] != NULL) { /* are we on an edge? */ |
| 1124 |
int i; |
| 1125 |
for (i = 0; i < 3; i++) { |
| 1126 |
if (miga[i] == mig_grid[px][py]) |
| 1127 |
return(1); |
| 1128 |
if (miga[i] != NULL) |
| 1129 |
continue; |
| 1130 |
miga[i] = mig_grid[px][py]; |
| 1131 |
return(1); |
| 1132 |
} |
| 1133 |
return(0); /* outside triangle! */ |
| 1134 |
} |
| 1135 |
/* check neighbors (flood) */ |
| 1136 |
if (px > 0 && !identify_tri(miga, vmap, px-1, py)) |
| 1137 |
return(0); |
| 1138 |
if (px < GRIDRES-1 && !identify_tri(miga, vmap, px+1, py)) |
| 1139 |
return(0); |
| 1140 |
if (py > 0 && !identify_tri(miga, vmap, px, py-1)) |
| 1141 |
return(0); |
| 1142 |
if (py < GRIDRES-1 && !identify_tri(miga, vmap, px, py+1)) |
| 1143 |
return(0); |
| 1144 |
return(1); /* this neighborhood done */ |
| 1145 |
} |
| 1146 |
|
| 1147 |
/* Insert vertex in ordered list */ |
| 1148 |
static void |
| 1149 |
insert_vert(RBFNODE **vlist, RBFNODE *v) |
| 1150 |
{ |
| 1151 |
int i, j; |
| 1152 |
|
| 1153 |
for (i = 0; vlist[i] != NULL; i++) { |
| 1154 |
if (v == vlist[i]) |
| 1155 |
return; |
| 1156 |
if (v < vlist[i]) |
| 1157 |
break; |
| 1158 |
} |
| 1159 |
for (j = i; vlist[j] != NULL; j++) |
| 1160 |
; |
| 1161 |
while (j > i) { |
| 1162 |
vlist[j] = vlist[j-1]; |
| 1163 |
--j; |
| 1164 |
} |
| 1165 |
vlist[i] = v; |
| 1166 |
} |
| 1167 |
|
| 1168 |
/* Sort triangle edges in standard order */ |
| 1169 |
static int |
| 1170 |
order_triangle(MIGRATION *miga[3]) |
| 1171 |
{ |
| 1172 |
RBFNODE *vert[7]; |
| 1173 |
MIGRATION *ord[3]; |
| 1174 |
int i; |
| 1175 |
/* order vertices, first */ |
| 1176 |
memset(vert, 0, sizeof(vert)); |
| 1177 |
for (i = 3; i--; ) { |
| 1178 |
if (miga[i] == NULL) |
| 1179 |
return(0); |
| 1180 |
insert_vert(vert, miga[i]->rbfv[0]); |
| 1181 |
insert_vert(vert, miga[i]->rbfv[1]); |
| 1182 |
} |
| 1183 |
/* should be just 3 vertices */ |
| 1184 |
if ((vert[3] == NULL) | (vert[4] != NULL)) |
| 1185 |
return(0); |
| 1186 |
/* identify edge 0 */ |
| 1187 |
for (i = 3; i--; ) |
| 1188 |
if (miga[i]->rbfv[0] == vert[0] && |
| 1189 |
miga[i]->rbfv[1] == vert[1]) { |
| 1190 |
ord[0] = miga[i]; |
| 1191 |
break; |
| 1192 |
} |
| 1193 |
if (i < 0) |
| 1194 |
return(0); |
| 1195 |
/* identify edge 1 */ |
| 1196 |
for (i = 3; i--; ) |
| 1197 |
if (miga[i]->rbfv[0] == vert[1] && |
| 1198 |
miga[i]->rbfv[1] == vert[2]) { |
| 1199 |
ord[1] = miga[i]; |
| 1200 |
break; |
| 1201 |
} |
| 1202 |
if (i < 0) |
| 1203 |
return(0); |
| 1204 |
/* identify edge 2 */ |
| 1205 |
for (i = 3; i--; ) |
| 1206 |
if (miga[i]->rbfv[0] == vert[0] && |
| 1207 |
miga[i]->rbfv[1] == vert[2]) { |
| 1208 |
ord[2] = miga[i]; |
| 1209 |
break; |
| 1210 |
} |
| 1211 |
if (i < 0) |
| 1212 |
return(0); |
| 1213 |
/* reassign order */ |
| 1214 |
miga[0] = ord[0]; miga[1] = ord[1]; miga[2] = ord[2]; |
| 1215 |
return(1); |
| 1216 |
} |
| 1217 |
|
| 1218 |
/* Find edge(s) for interpolating the given incident vector */ |
| 1219 |
static int |
| 1220 |
get_interp(MIGRATION *miga[3], const FVECT invec) |
| 1221 |
{ |
| 1222 |
miga[0] = miga[1] = miga[2] = NULL; |
| 1223 |
if (single_plane_incident) { /* isotropic BSDF? */ |
| 1224 |
RBFNODE *rbf; /* find edge we're on */ |
| 1225 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
| 1226 |
if (input_orient*rbf->invec[2] < input_orient*invec[2]) |
| 1227 |
break; |
| 1228 |
if (rbf->next != NULL && |
| 1229 |
input_orient*rbf->next->invec[2] < |
| 1230 |
input_orient*invec[2]) { |
| 1231 |
for (miga[0] = rbf->ejl; miga[0] != NULL; |
| 1232 |
miga[0] = nextedge(rbf,miga[0])) |
| 1233 |
if (opp_rbf(rbf,miga[0]) == rbf->next) |
| 1234 |
return(1); |
| 1235 |
break; |
| 1236 |
} |
| 1237 |
} |
| 1238 |
return(0); /* outside range! */ |
| 1239 |
} |
| 1240 |
{ /* else use triangle mesh */ |
| 1241 |
unsigned char floodmap[GRIDRES][(GRIDRES+7)/8]; |
| 1242 |
int pstart[2]; |
| 1243 |
RBFNODE *vother; |
| 1244 |
MIGRATION *ej; |
| 1245 |
int i; |
| 1246 |
|
| 1247 |
pos_from_vec(pstart, invec); |
| 1248 |
memset(floodmap, 0, sizeof(floodmap)); |
| 1249 |
/* call flooding function */ |
| 1250 |
if (!identify_tri(miga, floodmap, pstart[0], pstart[1])) |
| 1251 |
return(0); /* outside mesh */ |
| 1252 |
if ((miga[0] == NULL) | (miga[2] == NULL)) |
| 1253 |
return(0); /* should never happen */ |
| 1254 |
if (miga[1] == NULL) |
| 1255 |
return(1); /* on edge */ |
| 1256 |
/* verify triangle */ |
| 1257 |
if (!order_triangle(miga)) { |
| 1258 |
#ifdef DEBUG |
| 1259 |
fputs("Munged triangle in get_interp()\n", stderr); |
| 1260 |
#endif |
| 1261 |
vother = NULL; /* find triangle from edge */ |
| 1262 |
for (i = 3; i--; ) { |
| 1263 |
RBFNODE *tpair[2]; |
| 1264 |
if (get_triangles(tpair, miga[i]) && |
| 1265 |
(vother = tpair[ is_rev_tri( |
| 1266 |
miga[i]->rbfv[0]->invec, |
| 1267 |
miga[i]->rbfv[1]->invec, |
| 1268 |
invec) ]) != NULL) |
| 1269 |
break; |
| 1270 |
} |
| 1271 |
if (vother == NULL) { /* couldn't find 3rd vertex */ |
| 1272 |
#ifdef DEBUG |
| 1273 |
fputs("No triangle in get_interp()\n", stderr); |
| 1274 |
#endif |
| 1275 |
return(0); |
| 1276 |
} |
| 1277 |
/* reassign other two edges */ |
| 1278 |
for (ej = vother->ejl; ej != NULL; |
| 1279 |
ej = nextedge(vother,ej)) { |
| 1280 |
RBFNODE *vorig = opp_rbf(vother,ej); |
| 1281 |
if (vorig == miga[i]->rbfv[0]) |
| 1282 |
miga[(i+1)%3] = ej; |
| 1283 |
else if (vorig == miga[i]->rbfv[1]) |
| 1284 |
miga[(i+2)%3] = ej; |
| 1285 |
} |
| 1286 |
if (!order_triangle(miga)) { |
| 1287 |
#ifdef DEBUG |
| 1288 |
fputs("Bad triangle in get_interp()\n", stderr); |
| 1289 |
#endif |
| 1290 |
return(0); |
| 1291 |
} |
| 1292 |
} |
| 1293 |
return(3); /* return in standard order */ |
| 1294 |
} |
| 1295 |
} |
| 1296 |
|
| 1297 |
/* Advect and allocate new RBF along edge */ |
| 1298 |
static RBFNODE * |
| 1299 |
e_advect_rbf(const MIGRATION *mig, const FVECT invec) |
| 1300 |
{ |
| 1301 |
RBFNODE *rbf; |
| 1302 |
int n, i, j; |
| 1303 |
double t, full_dist; |
| 1304 |
/* get relative position */ |
| 1305 |
t = acos(DOT(invec, mig->rbfv[0]->invec)); |
| 1306 |
if (t < M_PI/GRIDRES) { /* near first DSF */ |
| 1307 |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(mig->rbfv[0]->nrbf-1); |
| 1308 |
rbf = (RBFNODE *)malloc(n); |
| 1309 |
if (rbf == NULL) |
| 1310 |
goto memerr; |
| 1311 |
memcpy(rbf, mig->rbfv[0], n); /* just duplicate */ |
| 1312 |
return(rbf); |
| 1313 |
} |
| 1314 |
full_dist = acos(DOT(mig->rbfv[0]->invec, mig->rbfv[1]->invec)); |
| 1315 |
if (t > full_dist-M_PI/GRIDRES) { /* near second DSF */ |
| 1316 |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(mig->rbfv[1]->nrbf-1); |
| 1317 |
rbf = (RBFNODE *)malloc(n); |
| 1318 |
if (rbf == NULL) |
| 1319 |
goto memerr; |
| 1320 |
memcpy(rbf, mig->rbfv[1], n); /* just duplicate */ |
| 1321 |
return(rbf); |
| 1322 |
} |
| 1323 |
t /= full_dist; |
| 1324 |
n = 0; /* count migrating particles */ |
| 1325 |
for (i = 0; i < mtx_nrows(mig); i++) |
| 1326 |
for (j = 0; j < mtx_ncols(mig); j++) |
| 1327 |
n += (mig->mtx[mtx_ndx(mig,i,j)] > FTINY); |
| 1328 |
#ifdef DEBUG |
| 1329 |
fprintf(stderr, "Input RBFs have %d, %d nodes -> output has %d\n", |
| 1330 |
mig->rbfv[0]->nrbf, mig->rbfv[1]->nrbf, n); |
| 1331 |
#endif |
| 1332 |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
| 1333 |
if (rbf == NULL) |
| 1334 |
goto memerr; |
| 1335 |
rbf->next = NULL; rbf->ejl = NULL; |
| 1336 |
VCOPY(rbf->invec, invec); |
| 1337 |
rbf->nrbf = n; |
| 1338 |
rbf->vtotal = 1.-t + t*mig->rbfv[1]->vtotal/mig->rbfv[0]->vtotal; |
| 1339 |
n = 0; /* advect RBF lobes */ |
| 1340 |
for (i = 0; i < mtx_nrows(mig); i++) { |
| 1341 |
const RBFVAL *rbf0i = &mig->rbfv[0]->rbfa[i]; |
| 1342 |
const float peak0 = rbf0i->peak; |
| 1343 |
const double rad0 = R2ANG(rbf0i->crad); |
| 1344 |
FVECT v0; |
| 1345 |
float mv; |
| 1346 |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
| 1347 |
for (j = 0; j < mtx_ncols(mig); j++) |
| 1348 |
if ((mv = mig->mtx[mtx_ndx(mig,i,j)]) > FTINY) { |
| 1349 |
const RBFVAL *rbf1j = &mig->rbfv[1]->rbfa[j]; |
| 1350 |
double rad1 = R2ANG(rbf1j->crad); |
| 1351 |
FVECT v; |
| 1352 |
int pos[2]; |
| 1353 |
rbf->rbfa[n].peak = peak0 * mv * rbf->vtotal; |
| 1354 |
rbf->rbfa[n].crad = ANG2R(sqrt(rad0*rad0*(1.-t) + |
| 1355 |
rad1*rad1*t)); |
| 1356 |
ovec_from_pos(v, rbf1j->gx, rbf1j->gy); |
| 1357 |
geodesic(v, v0, v, t, GEOD_REL); |
| 1358 |
pos_from_vec(pos, v); |
| 1359 |
rbf->rbfa[n].gx = pos[0]; |
| 1360 |
rbf->rbfa[n].gy = pos[1]; |
| 1361 |
++n; |
| 1362 |
} |
| 1363 |
} |
| 1364 |
rbf->vtotal *= mig->rbfv[0]->vtotal; /* turn ratio into actual */ |
| 1365 |
return(rbf); |
| 1366 |
memerr: |
| 1367 |
fputs("Out of memory in e_advect_rbf()\n", stderr); |
| 1368 |
exit(1); |
| 1369 |
return(NULL); /* pro forma return */ |
| 1370 |
} |
| 1371 |
|
| 1372 |
/* Partially advect between recorded incident angles and allocate new RBF */ |
| 1373 |
static RBFNODE * |
| 1374 |
advect_rbf(const FVECT invec) |
| 1375 |
{ |
| 1376 |
MIGRATION *miga[3]; |
| 1377 |
RBFNODE *rbf; |
| 1378 |
float mbfact, mcfact; |
| 1379 |
int n, i, j, k; |
| 1380 |
FVECT v0, v1, v2; |
| 1381 |
double s, t; |
| 1382 |
|
| 1383 |
if (!get_interp(miga, invec)) /* can't interpolate? */ |
| 1384 |
return(NULL); |
| 1385 |
if (miga[1] == NULL) /* advect along edge? */ |
| 1386 |
return(e_advect_rbf(miga[0], invec)); |
| 1387 |
#ifdef DEBUG |
| 1388 |
if (miga[0]->rbfv[0] != miga[2]->rbfv[0] | |
| 1389 |
miga[0]->rbfv[1] != miga[1]->rbfv[0] | |
| 1390 |
miga[1]->rbfv[1] != miga[2]->rbfv[1]) { |
| 1391 |
fputs("Triangle vertex screw-up!\n", stderr); |
| 1392 |
exit(1); |
| 1393 |
} |
| 1394 |
#endif |
| 1395 |
/* figure out position */ |
| 1396 |
fcross(v0, miga[2]->rbfv[0]->invec, miga[2]->rbfv[1]->invec); |
| 1397 |
normalize(v0); |
| 1398 |
fcross(v2, miga[1]->rbfv[0]->invec, miga[1]->rbfv[1]->invec); |
| 1399 |
normalize(v2); |
| 1400 |
fcross(v1, invec, miga[1]->rbfv[1]->invec); |
| 1401 |
normalize(v1); |
| 1402 |
s = acos(DOT(v0,v1)) / acos(DOT(v0,v2)); |
| 1403 |
geodesic(v1, miga[0]->rbfv[0]->invec, miga[0]->rbfv[1]->invec, |
| 1404 |
s, GEOD_REL); |
| 1405 |
t = acos(DOT(v1,invec)) / acos(DOT(v1,miga[1]->rbfv[1]->invec)); |
| 1406 |
n = 0; /* count migrating particles */ |
| 1407 |
for (i = 0; i < mtx_nrows(miga[0]); i++) |
| 1408 |
for (j = 0; j < mtx_ncols(miga[0]); j++) |
| 1409 |
for (k = (miga[0]->mtx[mtx_ndx(miga[0],i,j)] > FTINY) * |
| 1410 |
mtx_ncols(miga[2]); k--; ) |
| 1411 |
n += (miga[2]->mtx[mtx_ndx(miga[2],i,k)] > FTINY && |
| 1412 |
miga[1]->mtx[mtx_ndx(miga[1],j,k)] > FTINY); |
| 1413 |
#ifdef DEBUG |
| 1414 |
fprintf(stderr, "Input RBFs have %d, %d, %d nodes -> output has %d\n", |
| 1415 |
miga[0]->rbfv[0]->nrbf, miga[0]->rbfv[1]->nrbf, |
| 1416 |
miga[2]->rbfv[1]->nrbf, n); |
| 1417 |
#endif |
| 1418 |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
| 1419 |
if (rbf == NULL) { |
| 1420 |
fputs("Out of memory in advect_rbf()\n", stderr); |
| 1421 |
exit(1); |
| 1422 |
} |
| 1423 |
rbf->next = NULL; rbf->ejl = NULL; |
| 1424 |
VCOPY(rbf->invec, invec); |
| 1425 |
rbf->nrbf = n; |
| 1426 |
n = 0; /* compute RBF lobes */ |
| 1427 |
mbfact = s * miga[0]->rbfv[1]->vtotal/miga[0]->rbfv[0]->vtotal * |
| 1428 |
(1.-t + t*miga[1]->rbfv[1]->vtotal/miga[1]->rbfv[0]->vtotal); |
| 1429 |
mcfact = (1.-s) * |
| 1430 |
(1.-t + t*miga[2]->rbfv[1]->vtotal/miga[2]->rbfv[0]->vtotal); |
| 1431 |
for (i = 0; i < mtx_nrows(miga[0]); i++) { |
| 1432 |
const RBFVAL *rbf0i = &miga[0]->rbfv[0]->rbfa[i]; |
| 1433 |
const float w0i = rbf0i->peak; |
| 1434 |
const double rad0i = R2ANG(rbf0i->crad); |
| 1435 |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
| 1436 |
for (j = 0; j < mtx_ncols(miga[0]); j++) { |
| 1437 |
const float ma = miga[0]->mtx[mtx_ndx(miga[0],i,j)]; |
| 1438 |
const RBFVAL *rbf1j; |
| 1439 |
double rad1j, srad2; |
| 1440 |
if (ma <= FTINY) |
| 1441 |
continue; |
| 1442 |
rbf1j = &miga[0]->rbfv[1]->rbfa[j]; |
| 1443 |
rad1j = R2ANG(rbf1j->crad); |
| 1444 |
srad2 = (1.-s)*(1.-t)*rad0i*rad0i + s*(1.-t)*rad1j*rad1j; |
| 1445 |
ovec_from_pos(v1, rbf1j->gx, rbf1j->gy); |
| 1446 |
geodesic(v1, v0, v1, s, GEOD_REL); |
| 1447 |
for (k = 0; k < mtx_ncols(miga[2]); k++) { |
| 1448 |
float mb = miga[1]->mtx[mtx_ndx(miga[1],j,k)]; |
| 1449 |
float mc = miga[2]->mtx[mtx_ndx(miga[2],i,k)]; |
| 1450 |
const RBFVAL *rbf2k; |
| 1451 |
double rad2k; |
| 1452 |
FVECT vout; |
| 1453 |
int pos[2]; |
| 1454 |
if ((mb <= FTINY) | (mc <= FTINY)) |
| 1455 |
continue; |
| 1456 |
rbf2k = &miga[2]->rbfv[1]->rbfa[k]; |
| 1457 |
rbf->rbfa[n].peak = w0i * ma * (mb*mbfact + mc*mcfact); |
| 1458 |
rad2k = R2ANG(rbf2k->crad); |
| 1459 |
rbf->rbfa[n].crad = ANG2R(sqrt(srad2 + t*rad2k*rad2k)); |
| 1460 |
ovec_from_pos(v2, rbf2k->gx, rbf2k->gy); |
| 1461 |
geodesic(vout, v1, v2, t, GEOD_REL); |
| 1462 |
pos_from_vec(pos, vout); |
| 1463 |
rbf->rbfa[n].gx = pos[0]; |
| 1464 |
rbf->rbfa[n].gy = pos[1]; |
| 1465 |
++n; |
| 1466 |
} |
| 1467 |
} |
| 1468 |
} |
| 1469 |
rbf->vtotal = miga[0]->rbfv[0]->vtotal * (mbfact + mcfact); |
| 1470 |
return(rbf); |
| 1471 |
} |
| 1472 |
|
| 1473 |
/* Interpolate and output isotropic BSDF data */ |
| 1474 |
static void |
| 1475 |
interp_isotropic() |
| 1476 |
{ |
| 1477 |
const int sqres = 1<<samp_order; |
| 1478 |
FILE *ofp = NULL; |
| 1479 |
char cmd[128]; |
| 1480 |
int ix, ox, oy; |
| 1481 |
FVECT ivec, ovec; |
| 1482 |
double bsdf; |
| 1483 |
#if DEBUG |
| 1484 |
fprintf(stderr, "Writing isotropic order %d ", samp_order); |
| 1485 |
if (pctcull >= 0) fprintf(stderr, "data with %d%% culling\n", pctcull); |
| 1486 |
else fputs("raw data\n", stderr); |
| 1487 |
#endif |
| 1488 |
if (pctcull >= 0) { /* begin output */ |
| 1489 |
sprintf(cmd, "rttree_reduce -h -a -fd -r 3 -t %d -g %d", |
| 1490 |
pctcull, samp_order); |
| 1491 |
fflush(stdout); |
| 1492 |
ofp = popen(cmd, "w"); |
| 1493 |
if (ofp == NULL) { |
| 1494 |
fprintf(stderr, "%s: cannot create pipe to rttree_reduce\n", |
| 1495 |
progname); |
| 1496 |
exit(1); |
| 1497 |
} |
| 1498 |
} else |
| 1499 |
fputs("{\n", stdout); |
| 1500 |
/* run through directions */ |
| 1501 |
for (ix = 0; ix < sqres/2; ix++) { |
| 1502 |
RBFNODE *rbf; |
| 1503 |
SDsquare2disk(ivec, (ix+.5)/sqres, .5); |
| 1504 |
ivec[2] = input_orient * |
| 1505 |
sqrt(1. - ivec[0]*ivec[0] - ivec[1]*ivec[1]); |
| 1506 |
rbf = advect_rbf(ivec); |
| 1507 |
for (ox = 0; ox < sqres; ox++) |
| 1508 |
for (oy = 0; oy < sqres; oy++) { |
| 1509 |
SDsquare2disk(ovec, (ox+.5)/sqres, (oy+.5)/sqres); |
| 1510 |
ovec[2] = output_orient * |
| 1511 |
sqrt(1. - ovec[0]*ovec[0] - ovec[1]*ovec[1]); |
| 1512 |
bsdf = eval_rbfrep(rbf, ovec) / fabs(ovec[2]); |
| 1513 |
if (pctcull >= 0) |
| 1514 |
fwrite(&bsdf, sizeof(bsdf), 1, ofp); |
| 1515 |
else |
| 1516 |
printf("\t%.3e\n", bsdf); |
| 1517 |
} |
| 1518 |
free(rbf); |
| 1519 |
} |
| 1520 |
if (pctcull >= 0) { /* finish output */ |
| 1521 |
if (pclose(ofp)) { |
| 1522 |
fprintf(stderr, "%s: error running '%s'\n", |
| 1523 |
progname, cmd); |
| 1524 |
exit(1); |
| 1525 |
} |
| 1526 |
} else { |
| 1527 |
for (ix = sqres*sqres*sqres/2; ix--; ) |
| 1528 |
fputs("\t0\n", stdout); |
| 1529 |
fputs("}\n", stdout); |
| 1530 |
} |
| 1531 |
} |
| 1532 |
|
| 1533 |
/* Interpolate and output anisotropic BSDF data */ |
| 1534 |
static void |
| 1535 |
interp_anisotropic() |
| 1536 |
{ |
| 1537 |
const int sqres = 1<<samp_order; |
| 1538 |
FILE *ofp = NULL; |
| 1539 |
char cmd[128]; |
| 1540 |
int ix, iy, ox, oy; |
| 1541 |
FVECT ivec, ovec; |
| 1542 |
double bsdf; |
| 1543 |
#if DEBUG |
| 1544 |
fprintf(stderr, "Writing anisotropic order %d ", samp_order); |
| 1545 |
if (pctcull >= 0) fprintf(stderr, "data with %d%% culling\n", pctcull); |
| 1546 |
else fputs("raw data\n", stderr); |
| 1547 |
#endif |
| 1548 |
if (pctcull >= 0) { /* begin output */ |
| 1549 |
sprintf(cmd, "rttree_reduce -h -a -fd -r 4 -t %d -g %d", |
| 1550 |
pctcull, samp_order); |
| 1551 |
fflush(stdout); |
| 1552 |
ofp = popen(cmd, "w"); |
| 1553 |
if (ofp == NULL) { |
| 1554 |
fprintf(stderr, "%s: cannot create pipe to rttree_reduce\n", |
| 1555 |
progname); |
| 1556 |
exit(1); |
| 1557 |
} |
| 1558 |
} else |
| 1559 |
fputs("{\n", stdout); |
| 1560 |
/* run through directions */ |
| 1561 |
for (ix = 0; ix < sqres; ix++) |
| 1562 |
for (iy = 0; iy < sqres; iy++) { |
| 1563 |
RBFNODE *rbf; |
| 1564 |
SDsquare2disk(ivec, (ix+.5)/sqres, (iy+.5)/sqres); |
| 1565 |
ivec[2] = input_orient * |
| 1566 |
sqrt(1. - ivec[0]*ivec[0] - ivec[1]*ivec[1]); |
| 1567 |
rbf = advect_rbf(ivec); |
| 1568 |
for (ox = 0; ox < sqres; ox++) |
| 1569 |
for (oy = 0; oy < sqres; oy++) { |
| 1570 |
SDsquare2disk(ovec, (ox+.5)/sqres, (oy+.5)/sqres); |
| 1571 |
ovec[2] = output_orient * |
| 1572 |
sqrt(1. - ovec[0]*ovec[0] - ovec[1]*ovec[1]); |
| 1573 |
bsdf = eval_rbfrep(rbf, ovec) / fabs(ovec[2]); |
| 1574 |
if (pctcull >= 0) |
| 1575 |
fwrite(&bsdf, sizeof(bsdf), 1, ofp); |
| 1576 |
else |
| 1577 |
printf("\t%.3e\n", bsdf); |
| 1578 |
} |
| 1579 |
free(rbf); |
| 1580 |
} |
| 1581 |
if (pctcull >= 0) { /* finish output */ |
| 1582 |
if (pclose(ofp)) { |
| 1583 |
fprintf(stderr, "%s: error running '%s'\n", |
| 1584 |
progname, cmd); |
| 1585 |
exit(1); |
| 1586 |
} |
| 1587 |
} else |
| 1588 |
fputs("}\n", stdout); |
| 1589 |
} |
| 1590 |
|
| 1591 |
#if 1 |
| 1592 |
/* Read in BSDF files and interpolate as tensor tree representation */ |
| 1593 |
int |
| 1594 |
main(int argc, char *argv[]) |
| 1595 |
{ |
| 1596 |
RBFNODE *rbf; |
| 1597 |
double bsdf; |
| 1598 |
int i; |
| 1599 |
|
| 1600 |
progname = argv[0]; /* get options */ |
| 1601 |
while (argc > 2 && argv[1][0] == '-') { |
| 1602 |
switch (argv[1][1]) { |
| 1603 |
case 'n': |
| 1604 |
nprocs = atoi(argv[2]); |
| 1605 |
break; |
| 1606 |
case 't': |
| 1607 |
pctcull = atoi(argv[2]); |
| 1608 |
break; |
| 1609 |
default: |
| 1610 |
goto userr; |
| 1611 |
} |
| 1612 |
argv += 2; argc -= 2; |
| 1613 |
} |
| 1614 |
if (argc < 3) |
| 1615 |
goto userr; |
| 1616 |
#ifdef _WIN32 |
| 1617 |
if (nprocs > 1) { |
| 1618 |
fprintf(stderr, "%s: multiprocessing not supported\n", |
| 1619 |
progname); |
| 1620 |
return(1); |
| 1621 |
} |
| 1622 |
#endif |
| 1623 |
for (i = 1; i < argc; i++) { /* compile measurements */ |
| 1624 |
if (!load_pabopto_meas(argv[i])) |
| 1625 |
return(1); |
| 1626 |
compute_radii(); |
| 1627 |
cull_values(); |
| 1628 |
make_rbfrep(); |
| 1629 |
} |
| 1630 |
build_mesh(); /* create interpolation */ |
| 1631 |
/* xml_prologue(); /* start XML output */ |
| 1632 |
if (single_plane_incident) /* resample dist. */ |
| 1633 |
interp_isotropic(); |
| 1634 |
else |
| 1635 |
interp_anisotropic(); |
| 1636 |
/* xml_epilogue(); /* finish XML output */ |
| 1637 |
return(0); |
| 1638 |
userr: |
| 1639 |
fprintf(stderr, |
| 1640 |
"Usage: %s [-n nprocs][-t pctcull] meas1.dat meas2.dat .. > bsdf.xml\n", |
| 1641 |
progname); |
| 1642 |
return(1); |
| 1643 |
} |
| 1644 |
#else |
| 1645 |
/* Test main produces a Radiance model from the given input file */ |
| 1646 |
int |
| 1647 |
main(int argc, char *argv[]) |
| 1648 |
{ |
| 1649 |
char buf[128]; |
| 1650 |
FILE *pfp; |
| 1651 |
double bsdf; |
| 1652 |
FVECT dir; |
| 1653 |
int i, j, n; |
| 1654 |
|
| 1655 |
if (argc != 2) { |
| 1656 |
fprintf(stderr, "Usage: %s input.dat > output.rad\n", argv[0]); |
| 1657 |
return(1); |
| 1658 |
} |
| 1659 |
if (!load_pabopto_meas(argv[1])) |
| 1660 |
return(1); |
| 1661 |
|
| 1662 |
compute_radii(); |
| 1663 |
cull_values(); |
| 1664 |
make_rbfrep(); |
| 1665 |
/* produce spheres at meas. */ |
| 1666 |
puts("void plastic yellow\n0\n0\n5 .6 .4 .01 .04 .08\n"); |
| 1667 |
puts("void plastic pink\n0\n0\n5 .5 .05 .9 .04 .08\n"); |
| 1668 |
n = 0; |
| 1669 |
for (i = 0; i < GRIDRES; i++) |
| 1670 |
for (j = 0; j < GRIDRES; j++) |
| 1671 |
if (dsf_grid[i][j].vsum > .0f) { |
| 1672 |
ovec_from_pos(dir, i, j); |
| 1673 |
bsdf = dsf_grid[i][j].vsum / dir[2]; |
| 1674 |
if (dsf_grid[i][j].nval) { |
| 1675 |
printf("pink cone c%04d\n0\n0\n8\n", ++n); |
| 1676 |
printf("\t%.6g %.6g %.6g\n", |
| 1677 |
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
| 1678 |
printf("\t%.6g %.6g %.6g\n", |
| 1679 |
dir[0]*(bsdf+.005), dir[1]*(bsdf+.005), |
| 1680 |
dir[2]*(bsdf+.005)); |
| 1681 |
puts("\t.003\t0\n"); |
| 1682 |
} else { |
| 1683 |
ovec_from_pos(dir, i, j); |
| 1684 |
printf("yellow sphere s%04d\n0\n0\n", ++n); |
| 1685 |
printf("4 %.6g %.6g %.6g .0015\n\n", |
| 1686 |
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
| 1687 |
} |
| 1688 |
} |
| 1689 |
/* output continuous surface */ |
| 1690 |
puts("void trans tgreen\n0\n0\n7 .7 1 .7 .04 .04 .9 .9\n"); |
| 1691 |
fflush(stdout); |
| 1692 |
sprintf(buf, "gensurf tgreen bsdf - - - %d %d", GRIDRES-1, GRIDRES-1); |
| 1693 |
pfp = popen(buf, "w"); |
| 1694 |
if (pfp == NULL) { |
| 1695 |
fputs(buf, stderr); |
| 1696 |
fputs(": cannot start command\n", stderr); |
| 1697 |
return(1); |
| 1698 |
} |
| 1699 |
for (i = 0; i < GRIDRES; i++) |
| 1700 |
for (j = 0; j < GRIDRES; j++) { |
| 1701 |
ovec_from_pos(dir, i, j); |
| 1702 |
bsdf = eval_rbfrep(dsf_list, dir) / dir[2]; |
| 1703 |
fprintf(pfp, "%.8e %.8e %.8e\n", |
| 1704 |
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
| 1705 |
} |
| 1706 |
return(pclose(pfp)==0 ? 0 : 1); |
| 1707 |
} |
| 1708 |
#endif |
