| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id: pabopto2xml.c,v 2.10 2012/09/18 02:50:13 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 |
#define _USE_MATH_DEFINES |
| 12 |
#include <stdio.h> |
| 13 |
#include <stdlib.h> |
| 14 |
#include <string.h> |
| 15 |
#include <ctype.h> |
| 16 |
#include <math.h> |
| 17 |
#include "bsdf.h" |
| 18 |
|
| 19 |
#define DEBUG 1 |
| 20 |
|
| 21 |
#ifndef GRIDRES |
| 22 |
#define GRIDRES 200 /* grid resolution per side */ |
| 23 |
#endif |
| 24 |
|
| 25 |
#define RSCA 2.7 /* radius scaling factor (empirical) */ |
| 26 |
|
| 27 |
/* convert to/from coded radians */ |
| 28 |
#define ANG2R(r) (int)((r)*((1<<16)/M_PI)) |
| 29 |
#define R2ANG(c) (((c)+.5)*(M_PI/(1<<16))) |
| 30 |
|
| 31 |
typedef struct { |
| 32 |
float vsum; /* DSF sum */ |
| 33 |
unsigned short nval; /* number of values in sum */ |
| 34 |
unsigned short crad; /* radius (coded angle) */ |
| 35 |
} GRIDVAL; /* grid value */ |
| 36 |
|
| 37 |
typedef struct { |
| 38 |
float peak; /* lobe value at peak */ |
| 39 |
unsigned short crad; /* radius (coded angle) */ |
| 40 |
unsigned char gx, gy; /* grid position */ |
| 41 |
} RBFVAL; /* radial basis function value */ |
| 42 |
|
| 43 |
struct s_rbfnode; /* forward declaration of RBF struct */ |
| 44 |
|
| 45 |
typedef struct s_migration { |
| 46 |
struct s_migration *next; /* next in global edge list */ |
| 47 |
struct s_rbfnode *rbfv[2]; /* from,to vertex */ |
| 48 |
struct s_migration *enxt[2]; /* next from,to sibling */ |
| 49 |
float mtx[1]; /* matrix (extends struct) */ |
| 50 |
} MIGRATION; /* migration link (winged edge structure) */ |
| 51 |
|
| 52 |
typedef struct s_rbfnode { |
| 53 |
struct s_rbfnode *next; /* next in global RBF list */ |
| 54 |
MIGRATION *ejl; /* edge list for this vertex */ |
| 55 |
FVECT invec; /* incident vector direction */ |
| 56 |
double vtotal; /* volume for normalization */ |
| 57 |
int nrbf; /* number of RBFs */ |
| 58 |
RBFVAL rbfa[1]; /* RBF array (extends struct) */ |
| 59 |
} RBFNODE; /* RBF representation of DSF @ 1 incidence */ |
| 60 |
|
| 61 |
/* our loaded grid for this incident angle */ |
| 62 |
static double theta_in_deg, phi_in_deg; |
| 63 |
static GRIDVAL dsf_grid[GRIDRES][GRIDRES]; |
| 64 |
|
| 65 |
/* all incident angles in-plane so far? */ |
| 66 |
static int single_plane_incident = -1; |
| 67 |
|
| 68 |
/* input/output orientations */ |
| 69 |
static int input_orient = 0; |
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static int output_orient = 0; |
| 71 |
|
| 72 |
/* processed incident DSF measurements */ |
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static RBFNODE *dsf_list = NULL; |
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|
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/* RBF-linking matrices (edges) */ |
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static MIGRATION *mig_list = NULL; |
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|
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/* migration edges drawn in raster fashion */ |
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static MIGRATION *mig_grid[GRIDRES][GRIDRES]; |
| 80 |
|
| 81 |
#define mtx_nrows(m) ((m)->rbfv[0]->nrbf) |
| 82 |
#define mtx_ncols(m) ((m)->rbfv[1]->nrbf) |
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#define mtx_ndx(m,i,j) ((i)*mtx_ncols(m) + (j)) |
| 84 |
#define is_src(rbf,m) ((rbf) == (m)->rbfv[0]) |
| 85 |
#define is_dest(rbf,m) ((rbf) == (m)->rbfv[1]) |
| 86 |
#define nextedge(rbf,m) (m)->enxt[is_dest(rbf,m)] |
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#define opp_rbf(rbf,m) (m)->rbfv[is_src(rbf,m)] |
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|
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#define round(v) (int)((v) + .5 - ((v) < -.5)) |
| 90 |
|
| 91 |
/* Compute volume associated with Gaussian lobe */ |
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static double |
| 93 |
rbf_volume(const RBFVAL *rbfp) |
| 94 |
{ |
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double rad = R2ANG(rbfp->crad); |
| 96 |
|
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return((2.*M_PI) * rbfp->peak * rad*rad); |
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} |
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|
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/* Compute outgoing vector from grid position */ |
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static void |
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ovec_from_pos(FVECT vec, int xpos, int ypos) |
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{ |
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double uv[2]; |
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double r2; |
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|
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SDsquare2disk(uv, (1./GRIDRES)*(xpos+.5), (1./GRIDRES)*(ypos+.5)); |
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/* uniform hemispherical projection */ |
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r2 = uv[0]*uv[0] + uv[1]*uv[1]; |
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vec[0] = vec[1] = sqrt(2. - r2); |
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vec[0] *= uv[0]; |
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vec[1] *= uv[1]; |
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vec[2] = output_orient*(1. - r2); |
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} |
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|
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/* Compute grid position from normalized input/output vector */ |
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static void |
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pos_from_vec(int pos[2], const FVECT vec) |
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{ |
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double sq[2]; /* uniform hemispherical projection */ |
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double norm = 1./sqrt(1. + fabs(vec[2])); |
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|
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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); |
| 127 |
} |
| 128 |
|
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/* Evaluate RBF for DSF at the given normalized outgoing direction */ |
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static double |
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eval_rbfrep(const RBFNODE *rp, const FVECT outvec) |
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{ |
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double res = .0; |
| 134 |
const RBFVAL *rbfp; |
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FVECT odir; |
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double sig2; |
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int n; |
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|
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rbfp = rp->rbfa; |
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for (n = rp->nrbf; n--; rbfp++) { |
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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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} |
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|
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/* Insert a new directional scattering function in our global list */ |
| 151 |
static void |
| 152 |
insert_dsf(RBFNODE *newrbf) |
| 153 |
{ |
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RBFNODE *rbf, *rbf_last; |
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|
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/* keep in ascending theta order */ |
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for (rbf_last = NULL, rbf = dsf_list; |
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single_plane_incident & (rbf != NULL); |
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rbf_last = rbf, rbf = rbf->next) |
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if (input_orient*rbf->invec[2] < input_orient*newrbf->invec[2]) |
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break; |
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if (rbf_last == NULL) { |
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newrbf->next = dsf_list; |
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dsf_list = newrbf; |
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return; |
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} |
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newrbf->next = rbf; |
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rbf_last->next = newrbf; |
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} |
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|
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/* Count up filled nodes and build RBF representation from current grid */ |
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static RBFNODE * |
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make_rbfrep(void) |
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{ |
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int niter = 16; |
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double lastVar, thisVar = 100.; |
| 177 |
int nn; |
| 178 |
RBFNODE *newnode; |
| 179 |
int i, j; |
| 180 |
|
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nn = 0; /* count selected bins */ |
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for (i = 0; i < GRIDRES; i++) |
| 183 |
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)); |
| 187 |
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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} |
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newnode->next = NULL; |
| 192 |
newnode->ejl = NULL; |
| 193 |
newnode->invec[2] = sin(M_PI/180.*theta_in_deg); |
| 194 |
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 */ |
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for (i = 0; i < GRIDRES; i++) |
| 201 |
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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++nn; |
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} |
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/* iterate to improve interpolation accuracy */ |
| 210 |
do { |
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double dsum = .0, dsum2 = .0; |
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nn = 0; |
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for (i = 0; i < GRIDRES; i++) |
| 214 |
for (j = 0; j < GRIDRES; j++) |
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if (dsf_grid[i][j].nval) { |
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FVECT odir; |
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double corr; |
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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); |
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dsum += corr - 1.; |
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dsum2 += (corr-1.)*(corr-1.); |
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} |
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lastVar = thisVar; |
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thisVar = dsum2/(double)nn; |
| 227 |
#ifdef DEBUG |
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fprintf(stderr, "Avg., RMS error: %.1f%% %.1f%%\n", |
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100.*dsum/(double)nn, |
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100.*sqrt(thisVar)); |
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#endif |
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} while (--niter > 0 && lastVar-thisVar > 0.02*lastVar); |
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|
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nn = 0; /* compute sum for normalization */ |
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while (nn < newnode->nrbf) |
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newnode->vtotal += rbf_volume(&newnode->rbfa[nn++]); |
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|
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insert_dsf(newnode); |
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return(newnode); |
| 240 |
} |
| 241 |
|
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/* Load a set of measurements corresponding to a particular incident angle */ |
| 243 |
static int |
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load_pabopto_meas(const char *fname) |
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{ |
| 246 |
FILE *fp = fopen(fname, "r"); |
| 247 |
int inp_is_DSF = -1; |
| 248 |
double new_phi, theta_out, phi_out, val; |
| 249 |
char buf[2048]; |
| 250 |
int n, c; |
| 251 |
|
| 252 |
if (fp == NULL) { |
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fputs(fname, stderr); |
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fputs(": cannot open\n", stderr); |
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return(0); |
| 256 |
} |
| 257 |
memset(dsf_grid, 0, sizeof(dsf_grid)); |
| 258 |
#ifdef DEBUG |
| 259 |
fprintf(stderr, "Loading measurement file '%s'...\n", fname); |
| 260 |
#endif |
| 261 |
/* read header information */ |
| 262 |
while ((c = getc(fp)) == '#' || c == EOF) { |
| 263 |
if (fgets(buf, sizeof(buf), fp) == NULL) { |
| 264 |
fputs(fname, stderr); |
| 265 |
fputs(": unexpected EOF\n", stderr); |
| 266 |
fclose(fp); |
| 267 |
return(0); |
| 268 |
} |
| 269 |
if (!strcmp(buf, "format: theta phi DSF\n")) { |
| 270 |
inp_is_DSF = 1; |
| 271 |
continue; |
| 272 |
} |
| 273 |
if (!strcmp(buf, "format: theta phi BSDF\n")) { |
| 274 |
inp_is_DSF = 0; |
| 275 |
continue; |
| 276 |
} |
| 277 |
if (sscanf(buf, "intheta %lf", &theta_in_deg) == 1) |
| 278 |
continue; |
| 279 |
if (sscanf(buf, "inphi %lf", &new_phi) == 1) |
| 280 |
continue; |
| 281 |
if (sscanf(buf, "incident_angle %lf %lf", |
| 282 |
&theta_in_deg, &new_phi) == 2) |
| 283 |
continue; |
| 284 |
} |
| 285 |
if (inp_is_DSF < 0) { |
| 286 |
fputs(fname, stderr); |
| 287 |
fputs(": unknown format\n", stderr); |
| 288 |
fclose(fp); |
| 289 |
return(0); |
| 290 |
} |
| 291 |
if (!input_orient) /* check input orientation */ |
| 292 |
input_orient = 1 - 2*(theta_in_deg > 90.); |
| 293 |
else if (input_orient > 0 ^ theta_in_deg < 90.) { |
| 294 |
fputs("Cannot handle input angles on both sides of surface\n", |
| 295 |
stderr); |
| 296 |
exit(1); |
| 297 |
} |
| 298 |
if (single_plane_incident > 0) /* check if still in plane */ |
| 299 |
single_plane_incident = (round(new_phi) == round(phi_in_deg)); |
| 300 |
else if (single_plane_incident < 0) |
| 301 |
single_plane_incident = 1; |
| 302 |
phi_in_deg = new_phi; |
| 303 |
ungetc(c, fp); /* read actual data */ |
| 304 |
while (fscanf(fp, "%lf %lf %lf\n", &theta_out, &phi_out, &val) == 3) { |
| 305 |
FVECT ovec; |
| 306 |
int pos[2]; |
| 307 |
|
| 308 |
if (!output_orient) /* check output orientation */ |
| 309 |
output_orient = 1 - 2*(theta_out > 90.); |
| 310 |
else if (output_orient > 0 ^ theta_out < 90.) { |
| 311 |
fputs("Cannot handle output angles on both sides of surface\n", |
| 312 |
stderr); |
| 313 |
exit(1); |
| 314 |
} |
| 315 |
ovec[2] = sin(M_PI/180.*theta_out); |
| 316 |
ovec[0] = cos(M_PI/180.*phi_out) * ovec[2]; |
| 317 |
ovec[1] = sin(M_PI/180.*phi_out) * ovec[2]; |
| 318 |
ovec[2] = sqrt(1. - ovec[2]*ovec[2]); |
| 319 |
|
| 320 |
if (!inp_is_DSF) |
| 321 |
val *= ovec[2]; /* convert from BSDF to DSF */ |
| 322 |
|
| 323 |
pos_from_vec(pos, ovec); |
| 324 |
|
| 325 |
dsf_grid[pos[0]][pos[1]].vsum += val; |
| 326 |
dsf_grid[pos[0]][pos[1]].nval++; |
| 327 |
} |
| 328 |
n = 0; |
| 329 |
while ((c = getc(fp)) != EOF) |
| 330 |
n += !isspace(c); |
| 331 |
if (n) |
| 332 |
fprintf(stderr, |
| 333 |
"%s: warning: %d unexpected characters past EOD\n", |
| 334 |
fname, n); |
| 335 |
fclose(fp); |
| 336 |
return(1); |
| 337 |
} |
| 338 |
|
| 339 |
/* Compute radii for non-empty bins */ |
| 340 |
/* (distance to furthest empty bin for which non-empty bin is the closest) */ |
| 341 |
static void |
| 342 |
compute_radii(void) |
| 343 |
{ |
| 344 |
unsigned int fill_grid[GRIDRES][GRIDRES]; |
| 345 |
unsigned short fill_cnt[GRIDRES][GRIDRES]; |
| 346 |
FVECT ovec0, ovec1; |
| 347 |
double ang2, lastang2; |
| 348 |
int r, i, j, jn, ii, jj, inear, jnear; |
| 349 |
|
| 350 |
r = GRIDRES/2; /* proceed in zig-zag */ |
| 351 |
for (i = 0; i < GRIDRES; i++) |
| 352 |
for (jn = 0; jn < GRIDRES; jn++) { |
| 353 |
j = (i&1) ? jn : GRIDRES-1-jn; |
| 354 |
if (dsf_grid[i][j].nval) /* find empty grid pos. */ |
| 355 |
continue; |
| 356 |
ovec_from_pos(ovec0, i, j); |
| 357 |
inear = jnear = -1; /* find nearest non-empty */ |
| 358 |
lastang2 = M_PI*M_PI; |
| 359 |
for (ii = i-r; ii <= i+r; ii++) { |
| 360 |
if (ii < 0) continue; |
| 361 |
if (ii >= GRIDRES) break; |
| 362 |
for (jj = j-r; jj <= j+r; jj++) { |
| 363 |
if (jj < 0) continue; |
| 364 |
if (jj >= GRIDRES) break; |
| 365 |
if (!dsf_grid[ii][jj].nval) |
| 366 |
continue; |
| 367 |
ovec_from_pos(ovec1, ii, jj); |
| 368 |
ang2 = 2. - 2.*DOT(ovec0,ovec1); |
| 369 |
if (ang2 >= lastang2) |
| 370 |
continue; |
| 371 |
lastang2 = ang2; |
| 372 |
inear = ii; jnear = jj; |
| 373 |
} |
| 374 |
} |
| 375 |
if (inear < 0) { |
| 376 |
fputs("Could not find non-empty neighbor!\n", stderr); |
| 377 |
exit(1); |
| 378 |
} |
| 379 |
ang2 = sqrt(lastang2); |
| 380 |
r = ANG2R(ang2); /* record if > previous */ |
| 381 |
if (r > dsf_grid[inear][jnear].crad) |
| 382 |
dsf_grid[inear][jnear].crad = r; |
| 383 |
/* next search radius */ |
| 384 |
r = ang2*(2.*GRIDRES/M_PI) + 3; |
| 385 |
} |
| 386 |
/* blur radii over hemisphere */ |
| 387 |
memset(fill_grid, 0, sizeof(fill_grid)); |
| 388 |
memset(fill_cnt, 0, sizeof(fill_cnt)); |
| 389 |
for (i = 0; i < GRIDRES; i++) |
| 390 |
for (j = 0; j < GRIDRES; j++) { |
| 391 |
if (!dsf_grid[i][j].crad) |
| 392 |
continue; /* missing distance */ |
| 393 |
r = R2ANG(dsf_grid[i][j].crad)*(2.*RSCA*GRIDRES/M_PI); |
| 394 |
for (ii = i-r; ii <= i+r; ii++) { |
| 395 |
if (ii < 0) continue; |
| 396 |
if (ii >= GRIDRES) break; |
| 397 |
for (jj = j-r; jj <= j+r; jj++) { |
| 398 |
if (jj < 0) continue; |
| 399 |
if (jj >= GRIDRES) break; |
| 400 |
if ((ii-i)*(ii-i) + (jj-j)*(jj-j) > r*r) |
| 401 |
continue; |
| 402 |
fill_grid[ii][jj] += dsf_grid[i][j].crad; |
| 403 |
fill_cnt[ii][jj]++; |
| 404 |
} |
| 405 |
} |
| 406 |
} |
| 407 |
/* copy back blurred radii */ |
| 408 |
for (i = 0; i < GRIDRES; i++) |
| 409 |
for (j = 0; j < GRIDRES; j++) |
| 410 |
if (fill_cnt[i][j]) |
| 411 |
dsf_grid[i][j].crad = fill_grid[i][j]/fill_cnt[i][j]; |
| 412 |
} |
| 413 |
|
| 414 |
/* Cull points for more uniform distribution, leave all nval 0 or 1 */ |
| 415 |
static void |
| 416 |
cull_values(void) |
| 417 |
{ |
| 418 |
FVECT ovec0, ovec1; |
| 419 |
double maxang, maxang2; |
| 420 |
int i, j, ii, jj, r; |
| 421 |
/* simple greedy algorithm */ |
| 422 |
for (i = 0; i < GRIDRES; i++) |
| 423 |
for (j = 0; j < GRIDRES; j++) { |
| 424 |
if (!dsf_grid[i][j].nval) |
| 425 |
continue; |
| 426 |
if (!dsf_grid[i][j].crad) |
| 427 |
continue; /* shouldn't happen */ |
| 428 |
ovec_from_pos(ovec0, i, j); |
| 429 |
maxang = 2.*R2ANG(dsf_grid[i][j].crad); |
| 430 |
if (maxang > ovec0[2]) /* clamp near horizon */ |
| 431 |
maxang = ovec0[2]; |
| 432 |
r = maxang*(2.*GRIDRES/M_PI) + 1; |
| 433 |
maxang2 = maxang*maxang; |
| 434 |
for (ii = i-r; ii <= i+r; ii++) { |
| 435 |
if (ii < 0) continue; |
| 436 |
if (ii >= GRIDRES) break; |
| 437 |
for (jj = j-r; jj <= j+r; jj++) { |
| 438 |
if (jj < 0) continue; |
| 439 |
if (jj >= GRIDRES) break; |
| 440 |
if (!dsf_grid[ii][jj].nval) |
| 441 |
continue; |
| 442 |
if ((ii == i) & (jj == j)) |
| 443 |
continue; /* don't get self-absorbed */ |
| 444 |
ovec_from_pos(ovec1, ii, jj); |
| 445 |
if (2. - 2.*DOT(ovec0,ovec1) >= maxang2) |
| 446 |
continue; |
| 447 |
/* absorb sum */ |
| 448 |
dsf_grid[i][j].vsum += dsf_grid[ii][jj].vsum; |
| 449 |
dsf_grid[i][j].nval += dsf_grid[ii][jj].nval; |
| 450 |
/* keep value, though */ |
| 451 |
dsf_grid[ii][jj].vsum /= (float)dsf_grid[ii][jj].nval; |
| 452 |
dsf_grid[ii][jj].nval = 0; |
| 453 |
} |
| 454 |
} |
| 455 |
} |
| 456 |
/* final averaging pass */ |
| 457 |
for (i = 0; i < GRIDRES; i++) |
| 458 |
for (j = 0; j < GRIDRES; j++) |
| 459 |
if (dsf_grid[i][j].nval > 1) { |
| 460 |
dsf_grid[i][j].vsum /= (float)dsf_grid[i][j].nval; |
| 461 |
dsf_grid[i][j].nval = 1; |
| 462 |
} |
| 463 |
} |
| 464 |
|
| 465 |
/* Compute (and allocate) migration price matrix for optimization */ |
| 466 |
static float * |
| 467 |
price_routes(const RBFNODE *from_rbf, const RBFNODE *to_rbf) |
| 468 |
{ |
| 469 |
float *pmtx = (float *)malloc(sizeof(float) * |
| 470 |
from_rbf->nrbf * to_rbf->nrbf); |
| 471 |
FVECT *vto = (FVECT *)malloc(sizeof(FVECT) * to_rbf->nrbf); |
| 472 |
int i, j; |
| 473 |
|
| 474 |
if ((pmtx == NULL) | (vto == NULL)) { |
| 475 |
fputs("Out of memory in migration_costs()\n", stderr); |
| 476 |
exit(1); |
| 477 |
} |
| 478 |
for (j = to_rbf->nrbf; j--; ) /* save repetitive ops. */ |
| 479 |
ovec_from_pos(vto[j], to_rbf->rbfa[j].gx, to_rbf->rbfa[j].gy); |
| 480 |
|
| 481 |
for (i = from_rbf->nrbf; i--; ) { |
| 482 |
const double from_ang = R2ANG(from_rbf->rbfa[i].crad); |
| 483 |
FVECT vfrom; |
| 484 |
ovec_from_pos(vfrom, from_rbf->rbfa[i].gx, from_rbf->rbfa[i].gy); |
| 485 |
for (j = to_rbf->nrbf; j--; ) |
| 486 |
pmtx[i*to_rbf->nrbf + j] = acos(DOT(vfrom, vto[j])) + |
| 487 |
fabs(R2ANG(to_rbf->rbfa[j].crad) - from_ang); |
| 488 |
} |
| 489 |
free(vto); |
| 490 |
return(pmtx); |
| 491 |
} |
| 492 |
|
| 493 |
/* Comparison routine needed for sorting price row */ |
| 494 |
static const float *price_arr; |
| 495 |
static int |
| 496 |
msrt_cmp(const void *p1, const void *p2) |
| 497 |
{ |
| 498 |
float c1 = price_arr[*(const int *)p1]; |
| 499 |
float c2 = price_arr[*(const int *)p2]; |
| 500 |
|
| 501 |
if (c1 > c2) return(1); |
| 502 |
if (c1 < c2) return(-1); |
| 503 |
return(0); |
| 504 |
} |
| 505 |
|
| 506 |
/* Compute minimum (optimistic) cost for moving the given source material */ |
| 507 |
static double |
| 508 |
min_cost(double amt2move, const double *avail, const float *price, int n) |
| 509 |
{ |
| 510 |
static int *price_sort = NULL; |
| 511 |
static int n_alloc = 0; |
| 512 |
double total_cost = 0; |
| 513 |
int i; |
| 514 |
|
| 515 |
if (amt2move <= FTINY) /* pre-emptive check */ |
| 516 |
return(0.); |
| 517 |
if (n > n_alloc) { /* (re)allocate sort array */ |
| 518 |
if (n_alloc) free(price_sort); |
| 519 |
price_sort = (int *)malloc(sizeof(int)*n); |
| 520 |
if (price_sort == NULL) { |
| 521 |
fputs("Out of memory in min_cost()\n", stderr); |
| 522 |
exit(1); |
| 523 |
} |
| 524 |
n_alloc = n; |
| 525 |
} |
| 526 |
for (i = n; i--; ) |
| 527 |
price_sort[i] = i; |
| 528 |
price_arr = price; |
| 529 |
qsort(price_sort, n, sizeof(int), &msrt_cmp); |
| 530 |
/* move cheapest first */ |
| 531 |
for (i = 0; i < n && amt2move > FTINY; i++) { |
| 532 |
int d = price_sort[i]; |
| 533 |
double amt = (amt2move < avail[d]) ? amt2move : avail[d]; |
| 534 |
|
| 535 |
total_cost += amt * price[d]; |
| 536 |
amt2move -= amt; |
| 537 |
} |
| 538 |
return(total_cost); |
| 539 |
} |
| 540 |
|
| 541 |
/* Take a step in migration by choosing optimal bucket to transfer */ |
| 542 |
static double |
| 543 |
migration_step(MIGRATION *mig, double *src_rem, double *dst_rem, const float *pmtx) |
| 544 |
{ |
| 545 |
static double *src_cost = NULL; |
| 546 |
int n_alloc = 0; |
| 547 |
const double maxamt = 2./(mtx_nrows(mig)*mtx_ncols(mig)); |
| 548 |
double amt = 0; |
| 549 |
struct { |
| 550 |
int s, d; /* source and destination */ |
| 551 |
double price; /* price estimate per amount moved */ |
| 552 |
double amt; /* amount we can move */ |
| 553 |
} cur, best; |
| 554 |
int i; |
| 555 |
|
| 556 |
if (mtx_nrows(mig) > n_alloc) { /* allocate cost array */ |
| 557 |
if (n_alloc) |
| 558 |
free(src_cost); |
| 559 |
src_cost = (double *)malloc(sizeof(double)*mtx_nrows(mig)); |
| 560 |
if (src_cost == NULL) { |
| 561 |
fputs("Out of memory in migration_step()\n", stderr); |
| 562 |
exit(1); |
| 563 |
} |
| 564 |
n_alloc = mtx_nrows(mig); |
| 565 |
} |
| 566 |
for (i = mtx_nrows(mig); i--; ) /* starting costs for diff. */ |
| 567 |
src_cost[i] = min_cost(src_rem[i], dst_rem, |
| 568 |
pmtx+i*mtx_ncols(mig), mtx_ncols(mig)); |
| 569 |
|
| 570 |
/* find best source & dest. */ |
| 571 |
best.s = best.d = -1; best.price = FHUGE; best.amt = 0; |
| 572 |
for (cur.s = mtx_nrows(mig); cur.s--; ) { |
| 573 |
const float *price = pmtx + cur.s*mtx_ncols(mig); |
| 574 |
double cost_others = 0; |
| 575 |
if (src_rem[cur.s] <= FTINY) |
| 576 |
continue; |
| 577 |
cur.d = -1; /* examine cheapest dest. */ |
| 578 |
for (i = mtx_ncols(mig); i--; ) |
| 579 |
if (dst_rem[i] > FTINY && |
| 580 |
(cur.d < 0 || price[i] < price[cur.d])) |
| 581 |
cur.d = i; |
| 582 |
if (cur.d < 0) |
| 583 |
return(.0); |
| 584 |
if ((cur.price = price[cur.d]) >= best.price) |
| 585 |
continue; /* no point checking further */ |
| 586 |
cur.amt = (src_rem[cur.s] < dst_rem[cur.d]) ? |
| 587 |
src_rem[cur.s] : dst_rem[cur.d]; |
| 588 |
if (cur.amt > maxamt) cur.amt = maxamt; |
| 589 |
dst_rem[cur.d] -= cur.amt; /* add up differential costs */ |
| 590 |
for (i = mtx_nrows(mig); i--; ) { |
| 591 |
if (i == cur.s) continue; |
| 592 |
cost_others += min_cost(src_rem[i], dst_rem, price, mtx_ncols(mig)) |
| 593 |
- src_cost[i]; |
| 594 |
} |
| 595 |
dst_rem[cur.d] += cur.amt; /* undo trial move */ |
| 596 |
cur.price += cost_others/cur.amt; /* adjust effective price */ |
| 597 |
if (cur.price < best.price) /* are we better than best? */ |
| 598 |
best = cur; |
| 599 |
} |
| 600 |
if ((best.s < 0) | (best.d < 0)) |
| 601 |
return(.0); |
| 602 |
/* make the actual move */ |
| 603 |
mig->mtx[mtx_ndx(mig,best.s,best.d)] += best.amt; |
| 604 |
src_rem[best.s] -= best.amt; |
| 605 |
dst_rem[best.d] -= best.amt; |
| 606 |
return(best.amt); |
| 607 |
} |
| 608 |
|
| 609 |
/* Compute (and insert) migration along directed edge */ |
| 610 |
static MIGRATION * |
| 611 |
make_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
| 612 |
{ |
| 613 |
const double end_thresh = 0.02/(from_rbf->nrbf*to_rbf->nrbf); |
| 614 |
float *pmtx = price_routes(from_rbf, to_rbf); |
| 615 |
MIGRATION *newmig = (MIGRATION *)malloc(sizeof(MIGRATION) + |
| 616 |
sizeof(float) * |
| 617 |
(from_rbf->nrbf*to_rbf->nrbf - 1)); |
| 618 |
double *src_rem = (double *)malloc(sizeof(double)*from_rbf->nrbf); |
| 619 |
double *dst_rem = (double *)malloc(sizeof(double)*to_rbf->nrbf); |
| 620 |
double total_rem = 1.; |
| 621 |
int i; |
| 622 |
|
| 623 |
if ((newmig == NULL) | (src_rem == NULL) | (dst_rem == NULL)) { |
| 624 |
fputs("Out of memory in make_migration()\n", stderr); |
| 625 |
exit(1); |
| 626 |
} |
| 627 |
#ifdef DEBUG |
| 628 |
{ |
| 629 |
double theta, phi; |
| 630 |
theta = acos(from_rbf->invec[2])*(180./M_PI); |
| 631 |
phi = atan2(from_rbf->invec[1],from_rbf->invec[0])*(180./M_PI); |
| 632 |
fprintf(stderr, "Building path from (theta,phi) (%d,%d) to ", |
| 633 |
round(theta), round(phi)); |
| 634 |
theta = acos(to_rbf->invec[2])*(180./M_PI); |
| 635 |
phi = atan2(to_rbf->invec[1],to_rbf->invec[0])*(180./M_PI); |
| 636 |
fprintf(stderr, "(%d,%d)\n", round(theta), round(phi)); |
| 637 |
} |
| 638 |
#endif |
| 639 |
newmig->next = NULL; |
| 640 |
newmig->rbfv[0] = from_rbf; |
| 641 |
newmig->rbfv[1] = to_rbf; |
| 642 |
newmig->enxt[0] = newmig->enxt[1] = NULL; |
| 643 |
memset(newmig->mtx, 0, sizeof(float)*from_rbf->nrbf*to_rbf->nrbf); |
| 644 |
/* starting quantities */ |
| 645 |
for (i = from_rbf->nrbf; i--; ) |
| 646 |
src_rem[i] = rbf_volume(&from_rbf->rbfa[i]) / from_rbf->vtotal; |
| 647 |
for (i = to_rbf->nrbf; i--; ) |
| 648 |
dst_rem[i] = rbf_volume(&to_rbf->rbfa[i]) / to_rbf->vtotal; |
| 649 |
/* move a bit at a time */ |
| 650 |
while (total_rem > end_thresh) |
| 651 |
total_rem -= migration_step(newmig, src_rem, dst_rem, pmtx); |
| 652 |
|
| 653 |
free(pmtx); /* free working arrays */ |
| 654 |
free(src_rem); |
| 655 |
free(dst_rem); |
| 656 |
for (i = from_rbf->nrbf; i--; ) { /* normalize final matrix */ |
| 657 |
float nf = rbf_volume(&from_rbf->rbfa[i]); |
| 658 |
int j; |
| 659 |
if (nf <= FTINY) continue; |
| 660 |
nf = from_rbf->vtotal / nf; |
| 661 |
for (j = to_rbf->nrbf; j--; ) |
| 662 |
newmig->mtx[mtx_ndx(newmig,i,j)] *= nf; |
| 663 |
} |
| 664 |
/* insert in edge lists */ |
| 665 |
newmig->enxt[0] = from_rbf->ejl; |
| 666 |
from_rbf->ejl = newmig; |
| 667 |
newmig->enxt[1] = to_rbf->ejl; |
| 668 |
to_rbf->ejl = newmig; |
| 669 |
newmig->next = mig_list; |
| 670 |
return(mig_list = newmig); |
| 671 |
} |
| 672 |
|
| 673 |
/* Get triangle surface orientation (unnormalized) */ |
| 674 |
static void |
| 675 |
tri_orient(FVECT vres, const FVECT v1, const FVECT v2, const FVECT v3) |
| 676 |
{ |
| 677 |
FVECT v2minus1, v3minus2; |
| 678 |
|
| 679 |
VSUB(v2minus1, v2, v1); |
| 680 |
VSUB(v3minus2, v3, v2); |
| 681 |
VCROSS(vres, v2minus1, v3minus2); |
| 682 |
} |
| 683 |
|
| 684 |
/* Determine if vertex order is reversed (inward normal) */ |
| 685 |
static int |
| 686 |
is_rev_tri(const FVECT v1, const FVECT v2, const FVECT v3) |
| 687 |
{ |
| 688 |
FVECT tor; |
| 689 |
|
| 690 |
tri_orient(tor, v1, v2, v3); |
| 691 |
|
| 692 |
return(DOT(tor, v2) < 0.); |
| 693 |
} |
| 694 |
|
| 695 |
/* Find vertices completing triangles on either side of the given edge */ |
| 696 |
static int |
| 697 |
get_triangles(RBFNODE *rbfv[2], const MIGRATION *mig) |
| 698 |
{ |
| 699 |
const MIGRATION *ej, *ej2; |
| 700 |
RBFNODE *tv; |
| 701 |
|
| 702 |
rbfv[0] = rbfv[1] = NULL; |
| 703 |
for (ej = mig->rbfv[0]->ejl; ej != NULL; |
| 704 |
ej = nextedge(mig->rbfv[0],ej)) { |
| 705 |
if (ej == mig) |
| 706 |
continue; |
| 707 |
tv = opp_rbf(mig->rbfv[0],ej); |
| 708 |
for (ej2 = tv->ejl; ej2 != NULL; ej2 = nextedge(tv,ej2)) |
| 709 |
if (opp_rbf(tv,ej2) == mig->rbfv[1]) { |
| 710 |
rbfv[is_rev_tri(mig->rbfv[0]->invec, |
| 711 |
mig->rbfv[1]->invec, |
| 712 |
tv->invec)] = tv; |
| 713 |
break; |
| 714 |
} |
| 715 |
} |
| 716 |
return((rbfv[0] != NULL) + (rbfv[1] != NULL)); |
| 717 |
} |
| 718 |
|
| 719 |
/* Find context hull vertex to complete triangle (oriented call) */ |
| 720 |
static RBFNODE * |
| 721 |
find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1) |
| 722 |
{ |
| 723 |
FVECT vmid, vor; |
| 724 |
RBFNODE *rbf, *rbfbest = NULL; |
| 725 |
double dprod2, bestdprod2 = 0.5; |
| 726 |
|
| 727 |
VADD(vmid, rbf0->invec, rbf1->invec); |
| 728 |
if (normalize(vmid) == 0) |
| 729 |
return(NULL); |
| 730 |
/* XXX exhaustive search */ |
| 731 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
| 732 |
if ((rbf == rbf0) | (rbf == rbf1)) |
| 733 |
continue; |
| 734 |
tri_orient(vor, rbf0->invec, rbf1->invec, rbf->invec); |
| 735 |
dprod2 = DOT(vor, vmid); |
| 736 |
if (dprod2 <= FTINY) |
| 737 |
continue; /* wrong orientation */ |
| 738 |
dprod2 *= dprod2 / DOT(vor,vor); |
| 739 |
if (dprod2 > bestdprod2) { /* more convex than prev? */ |
| 740 |
rbfbest = rbf; |
| 741 |
bestdprod2 = dprod2; |
| 742 |
} |
| 743 |
} |
| 744 |
return(rbf); |
| 745 |
} |
| 746 |
|
| 747 |
/* Create new migration edge and grow mesh recursively around it */ |
| 748 |
static void |
| 749 |
mesh_from_edge(RBFNODE *rbf0, RBFNODE *rbf1) |
| 750 |
{ |
| 751 |
MIGRATION *newej; |
| 752 |
RBFNODE *tvert[2]; |
| 753 |
|
| 754 |
if (rbf0 < rbf1) /* avoid migration loops */ |
| 755 |
newej = make_migration(rbf0, rbf1); |
| 756 |
else |
| 757 |
newej = make_migration(rbf1, rbf0); |
| 758 |
/* triangle on either side? */ |
| 759 |
get_triangles(tvert, newej); |
| 760 |
if (tvert[0] == NULL) { /* recurse on new right edge */ |
| 761 |
tvert[0] = find_chull_vert(newej->rbfv[0], newej->rbfv[1]); |
| 762 |
if (tvert[0] != NULL) { |
| 763 |
mesh_from_edge(rbf0, tvert[0]); |
| 764 |
mesh_from_edge(rbf1, tvert[0]); |
| 765 |
} |
| 766 |
} |
| 767 |
if (tvert[1] == NULL) { /* recurse on new left edge */ |
| 768 |
tvert[1] = find_chull_vert(newej->rbfv[1], newej->rbfv[0]); |
| 769 |
if (tvert[1] != NULL) { |
| 770 |
mesh_from_edge(rbf0, tvert[1]); |
| 771 |
mesh_from_edge(rbf1, tvert[1]); |
| 772 |
} |
| 773 |
} |
| 774 |
} |
| 775 |
|
| 776 |
/* Draw edge list into mig_grid array */ |
| 777 |
static void |
| 778 |
draw_edges() |
| 779 |
{ |
| 780 |
int nnull = 0, ntot = 0; |
| 781 |
MIGRATION *ej; |
| 782 |
int p0[2], p1[2]; |
| 783 |
|
| 784 |
/* memset(mig_grid, 0, sizeof(mig_grid)); */ |
| 785 |
for (ej = mig_list; ej != NULL; ej = ej->next) { |
| 786 |
++ntot; |
| 787 |
pos_from_vec(p0, ej->rbfv[0]->invec); |
| 788 |
pos_from_vec(p1, ej->rbfv[1]->invec); |
| 789 |
if ((p0[0] == p1[0]) & (p0[1] == p1[1])) { |
| 790 |
++nnull; |
| 791 |
mig_grid[p0[0]][p0[1]] = ej; |
| 792 |
continue; |
| 793 |
} |
| 794 |
if (abs(p1[0]-p0[0]) > abs(p1[1]-p0[1])) { |
| 795 |
const int xstep = 2*(p1[0] > p0[0]) - 1; |
| 796 |
const double ystep = (double)((p1[1]-p0[1])*xstep) / |
| 797 |
(double)(p1[0]-p0[0]); |
| 798 |
int x; |
| 799 |
double y; |
| 800 |
for (x = p0[0], y = p0[1]+.5; x != p1[0]; |
| 801 |
x += xstep, y += ystep) |
| 802 |
mig_grid[x][(int)y] = ej; |
| 803 |
mig_grid[x][(int)y] = ej; |
| 804 |
} else { |
| 805 |
const int ystep = 2*(p1[1] > p0[1]) - 1; |
| 806 |
const double xstep = (double)((p1[0]-p0[0])*ystep) / |
| 807 |
(double)(p1[1]-p0[1]); |
| 808 |
int y; |
| 809 |
double x; |
| 810 |
for (y = p0[1], x = p0[0]+.5; y != p1[1]; |
| 811 |
y += ystep, x += xstep) |
| 812 |
mig_grid[(int)x][y] = ej; |
| 813 |
mig_grid[(int)x][y] = ej; |
| 814 |
} |
| 815 |
} |
| 816 |
if (nnull) |
| 817 |
fprintf(stderr, "Warning: %d of %d edges are null\n", |
| 818 |
nnull, ntot); |
| 819 |
} |
| 820 |
|
| 821 |
/* Build our triangle mesh from recorded RBFs */ |
| 822 |
static void |
| 823 |
build_mesh() |
| 824 |
{ |
| 825 |
double best2 = M_PI*M_PI; |
| 826 |
RBFNODE *rbf, *rbf_near = NULL; |
| 827 |
/* check if isotropic */ |
| 828 |
if (single_plane_incident) { |
| 829 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) |
| 830 |
if (rbf->next != NULL) |
| 831 |
make_migration(rbf, rbf->next); |
| 832 |
return; |
| 833 |
} |
| 834 |
/* find RBF nearest to head */ |
| 835 |
if (dsf_list == NULL) |
| 836 |
return; |
| 837 |
for (rbf = dsf_list->next; rbf != NULL; rbf = rbf->next) { |
| 838 |
double dist2 = 2. - 2.*DOT(dsf_list->invec,rbf->invec); |
| 839 |
if (dist2 < best2) { |
| 840 |
rbf_near = rbf; |
| 841 |
best2 = dist2; |
| 842 |
} |
| 843 |
} |
| 844 |
if (rbf_near == NULL) { |
| 845 |
fputs("Cannot find nearest point for first edge\n", stderr); |
| 846 |
exit(1); |
| 847 |
} |
| 848 |
/* build mesh from this edge */ |
| 849 |
mesh_from_edge(dsf_list, rbf_near); |
| 850 |
/* draw edge list into grid */ |
| 851 |
draw_edges(); |
| 852 |
} |
| 853 |
|
| 854 |
/* Identify enclosing triangle for this position (flood fill raster check) */ |
| 855 |
static int |
| 856 |
identify_tri(MIGRATION *miga[3], unsigned char vmap[GRIDRES][(GRIDRES+7)/8], |
| 857 |
int px, int py) |
| 858 |
{ |
| 859 |
const int btest = 1<<(py&07); |
| 860 |
|
| 861 |
if (vmap[px][py>>3] & btest) /* already visited here? */ |
| 862 |
return(1); |
| 863 |
/* else mark it */ |
| 864 |
vmap[px][py>>3] |= btest; |
| 865 |
|
| 866 |
if (mig_grid[px][py] != NULL) { /* are we on an edge? */ |
| 867 |
int i; |
| 868 |
for (i = 0; i < 3; i++) { |
| 869 |
if (miga[i] == mig_grid[px][py]) |
| 870 |
return(1); |
| 871 |
if (miga[i] != NULL) |
| 872 |
continue; |
| 873 |
miga[i] = mig_grid[px][py]; |
| 874 |
return(1); |
| 875 |
} |
| 876 |
return(0); /* outside triangle! */ |
| 877 |
} |
| 878 |
/* check neighbors (flood) */ |
| 879 |
if (px > 0 && !identify_tri(miga, vmap, px-1, py)) |
| 880 |
return(0); |
| 881 |
if (px < GRIDRES-1 && !identify_tri(miga, vmap, px+1, py)) |
| 882 |
return(0); |
| 883 |
if (py > 0 && !identify_tri(miga, vmap, px, py-1)) |
| 884 |
return(0); |
| 885 |
if (py < GRIDRES-1 && !identify_tri(miga, vmap, px, py+1)) |
| 886 |
return(0); |
| 887 |
return(1); /* this neighborhood done */ |
| 888 |
} |
| 889 |
|
| 890 |
/* Find edge(s) for interpolating the given incident vector */ |
| 891 |
static int |
| 892 |
get_interp(MIGRATION *miga[3], const FVECT invec) |
| 893 |
{ |
| 894 |
miga[0] = miga[1] = miga[2] = NULL; |
| 895 |
if (single_plane_incident) { /* isotropic BSDF? */ |
| 896 |
RBFNODE *rbf; /* find edge we're on */ |
| 897 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
| 898 |
if (input_orient*rbf->invec[2] < input_orient*invec[2]) |
| 899 |
break; |
| 900 |
if (rbf->next != NULL && |
| 901 |
input_orient*rbf->next->invec[2] < |
| 902 |
input_orient*invec[2]) { |
| 903 |
for (miga[0] = rbf->ejl; miga[0] != NULL; |
| 904 |
miga[0] = nextedge(rbf,miga[0])) |
| 905 |
if (opp_rbf(rbf,miga[0]) == rbf->next) |
| 906 |
return(1); |
| 907 |
break; |
| 908 |
} |
| 909 |
} |
| 910 |
return(0); /* outside range! */ |
| 911 |
} |
| 912 |
{ /* else use triagnle mesh */ |
| 913 |
unsigned char floodmap[GRIDRES][(GRIDRES+7)/8]; |
| 914 |
int pstart[2]; |
| 915 |
|
| 916 |
pos_from_vec(pstart, invec); |
| 917 |
memset(floodmap, 0, sizeof(floodmap)); |
| 918 |
/* call flooding function */ |
| 919 |
if (!identify_tri(miga, floodmap, pstart[0], pstart[1])) |
| 920 |
return(0); /* outside mesh */ |
| 921 |
if ((miga[0] == NULL) | (miga[2] == NULL)) |
| 922 |
return(0); /* should never happen */ |
| 923 |
if (miga[1] == NULL) |
| 924 |
return(1); /* on edge */ |
| 925 |
return(3); /* else in triangle */ |
| 926 |
} |
| 927 |
} |
| 928 |
|
| 929 |
/* Advect and allocate new RBF along edge */ |
| 930 |
static RBFNODE * |
| 931 |
e_advect_rbf(const MIGRATION *mig, const FVECT invec) |
| 932 |
{ |
| 933 |
RBFNODE *rbf; |
| 934 |
int n, i, j; |
| 935 |
double t, full_dist; |
| 936 |
/* get relative position */ |
| 937 |
t = acos(DOT(invec, mig->rbfv[0]->invec)); |
| 938 |
if (t < M_PI/GRIDRES) { /* near first DSF */ |
| 939 |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(mig->rbfv[0]->nrbf-1); |
| 940 |
rbf = (RBFNODE *)malloc(n); |
| 941 |
if (rbf == NULL) |
| 942 |
goto memerr; |
| 943 |
memcpy(rbf, mig->rbfv[0], n); /* just duplicate */ |
| 944 |
return(rbf); |
| 945 |
} |
| 946 |
full_dist = acos(DOT(mig->rbfv[0]->invec, mig->rbfv[1]->invec)); |
| 947 |
if (t > full_dist-M_PI/GRIDRES) { /* near second DSF */ |
| 948 |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(mig->rbfv[1]->nrbf-1); |
| 949 |
rbf = (RBFNODE *)malloc(n); |
| 950 |
if (rbf == NULL) |
| 951 |
goto memerr; |
| 952 |
memcpy(rbf, mig->rbfv[1], n); /* just duplicate */ |
| 953 |
return(rbf); |
| 954 |
} |
| 955 |
t /= full_dist; |
| 956 |
n = 0; /* count migrating particles */ |
| 957 |
for (i = 0; i < mtx_nrows(mig); i++) |
| 958 |
for (j = 0; j < mtx_ncols(mig); j++) |
| 959 |
n += (mig->mtx[mtx_ndx(mig,i,j)] > FTINY); |
| 960 |
|
| 961 |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
| 962 |
if (rbf == NULL) |
| 963 |
goto memerr; |
| 964 |
rbf->next = NULL; rbf->ejl = NULL; |
| 965 |
VCOPY(rbf->invec, invec); |
| 966 |
rbf->nrbf = n; |
| 967 |
rbf->vtotal = 1.-t + t*mig->rbfv[1]->vtotal/mig->rbfv[0]->vtotal; |
| 968 |
n = 0; /* advect RBF lobes */ |
| 969 |
for (i = 0; i < mtx_nrows(mig); i++) { |
| 970 |
const RBFVAL *rbf0i = &mig->rbfv[0]->rbfa[i]; |
| 971 |
const float peak0 = rbf0i->peak; |
| 972 |
const double rad0 = R2ANG(rbf0i->crad); |
| 973 |
FVECT v0; |
| 974 |
float mv; |
| 975 |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
| 976 |
for (j = 0; j < mtx_ncols(mig); j++) |
| 977 |
if ((mv = mig->mtx[mtx_ndx(mig,i,j)]) > FTINY) { |
| 978 |
const RBFVAL *rbf1j = &mig->rbfv[1]->rbfa[j]; |
| 979 |
double rad1 = R2ANG(rbf1j->crad); |
| 980 |
FVECT v; |
| 981 |
int pos[2]; |
| 982 |
rbf->rbfa[n].peak = peak0 * mv * rbf->vtotal; |
| 983 |
rbf->rbfa[n].crad = ANG2R(sqrt(rad0*rad0*(1.-t) + |
| 984 |
rad1*rad1*t)); |
| 985 |
ovec_from_pos(v, rbf1j->gx, rbf1j->gy); |
| 986 |
geodesic(v, v0, v, t, GEOD_REL); |
| 987 |
pos_from_vec(pos, v); |
| 988 |
rbf->rbfa[n].gx = pos[0]; |
| 989 |
rbf->rbfa[n].gy = pos[1]; |
| 990 |
++n; |
| 991 |
} |
| 992 |
} |
| 993 |
rbf->vtotal *= mig->rbfv[0]->vtotal; /* turn ratio into actual */ |
| 994 |
return(rbf); |
| 995 |
memerr: |
| 996 |
fputs("Out of memory in e_advect_rbf()\n", stderr); |
| 997 |
exit(1); |
| 998 |
return(NULL); /* pro forma return */ |
| 999 |
} |
| 1000 |
|
| 1001 |
/* Insert vertex in ordered list */ |
| 1002 |
static void |
| 1003 |
insert_vert(RBFNODE **vlist, RBFNODE *v) |
| 1004 |
{ |
| 1005 |
int i, j; |
| 1006 |
|
| 1007 |
for (i = 0; vlist[i] != NULL; i++) { |
| 1008 |
if (v == vlist[i]) |
| 1009 |
return; |
| 1010 |
if (v < vlist[i]) |
| 1011 |
break; |
| 1012 |
} |
| 1013 |
for (j = i; vlist[j] != NULL; j++) |
| 1014 |
; |
| 1015 |
while (j > i) { |
| 1016 |
vlist[j] = vlist[j-1]; |
| 1017 |
--j; |
| 1018 |
} |
| 1019 |
vlist[i] = v; |
| 1020 |
} |
| 1021 |
|
| 1022 |
/* Sort triangle edges in standard order */ |
| 1023 |
static void |
| 1024 |
order_triangle(MIGRATION *miga[3]) |
| 1025 |
{ |
| 1026 |
RBFNODE *vert[4]; |
| 1027 |
MIGRATION *ord[3]; |
| 1028 |
int i; |
| 1029 |
/* order vertices, first */ |
| 1030 |
memset(vert, 0, sizeof(vert)); |
| 1031 |
for (i = 0; i < 3; i++) { |
| 1032 |
insert_vert(vert, miga[i]->rbfv[0]); |
| 1033 |
insert_vert(vert, miga[i]->rbfv[1]); |
| 1034 |
} |
| 1035 |
/* identify edge 0 */ |
| 1036 |
for (i = 0; i < 3; i++) |
| 1037 |
if (miga[i]->rbfv[0] == vert[0] && |
| 1038 |
miga[i]->rbfv[1] == vert[1]) { |
| 1039 |
ord[0] = miga[i]; |
| 1040 |
break; |
| 1041 |
} |
| 1042 |
/* identify edge 1 */ |
| 1043 |
for (i = 0; i < 3; i++) |
| 1044 |
if (miga[i]->rbfv[0] == vert[1] && |
| 1045 |
miga[i]->rbfv[1] == vert[2]) { |
| 1046 |
ord[1] = miga[i]; |
| 1047 |
break; |
| 1048 |
} |
| 1049 |
/* identify edge 2 */ |
| 1050 |
for (i = 0; i < 3; i++) |
| 1051 |
if (miga[i]->rbfv[0] == vert[0] && |
| 1052 |
miga[i]->rbfv[1] == vert[2]) { |
| 1053 |
ord[2] = miga[i]; |
| 1054 |
break; |
| 1055 |
} |
| 1056 |
miga[0] = ord[0]; miga[1] = ord[1]; miga[2] = ord[2]; |
| 1057 |
} |
| 1058 |
|
| 1059 |
/* Partially advect between recorded incident angles and allocate new RBF */ |
| 1060 |
static RBFNODE * |
| 1061 |
advect_rbf(const FVECT invec) |
| 1062 |
{ |
| 1063 |
MIGRATION *miga[3]; |
| 1064 |
RBFNODE *rbf; |
| 1065 |
float mbfact, mcfact; |
| 1066 |
int n, i, j, k; |
| 1067 |
FVECT v0, v1, v2; |
| 1068 |
double s, t; |
| 1069 |
|
| 1070 |
if (!get_interp(miga, invec)) /* can't interpolate? */ |
| 1071 |
return(NULL); |
| 1072 |
if (miga[1] == NULL) /* along edge? */ |
| 1073 |
return(e_advect_rbf(miga[0], invec)); |
| 1074 |
/* put in standard order */ |
| 1075 |
order_triangle(miga); |
| 1076 |
/* figure out position */ |
| 1077 |
fcross(v0, miga[2]->rbfv[0]->invec, miga[2]->rbfv[1]->invec); |
| 1078 |
normalize(v0); |
| 1079 |
fcross(v2, miga[1]->rbfv[0]->invec, miga[1]->rbfv[1]->invec); |
| 1080 |
normalize(v2); |
| 1081 |
fcross(v1, invec, miga[1]->rbfv[1]->invec); |
| 1082 |
normalize(v1); |
| 1083 |
s = acos(DOT(v0,v1)) / acos(DOT(v0,v2)); |
| 1084 |
geodesic(v1, miga[0]->rbfv[0]->invec, miga[0]->rbfv[1]->invec, |
| 1085 |
s, GEOD_REL); |
| 1086 |
t = acos(DOT(v1,invec)) / acos(DOT(v1,miga[1]->rbfv[1]->invec)); |
| 1087 |
n = 0; /* count migrating particles */ |
| 1088 |
for (i = 0; i < mtx_nrows(miga[0]); i++) |
| 1089 |
for (j = 0; j < mtx_ncols(miga[0]); j++) |
| 1090 |
for (k = (miga[0]->mtx[mtx_ndx(miga[0],i,j)] > FTINY) * |
| 1091 |
mtx_ncols(miga[2]); k--; ) |
| 1092 |
n += (miga[2]->mtx[mtx_ndx(miga[2],i,k)] > FTINY && |
| 1093 |
miga[1]->mtx[mtx_ndx(miga[1],j,k)] > FTINY); |
| 1094 |
|
| 1095 |
rbf = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(n-1)); |
| 1096 |
if (rbf == NULL) { |
| 1097 |
fputs("Out of memory in advect_rbf()\n", stderr); |
| 1098 |
exit(1); |
| 1099 |
} |
| 1100 |
rbf->next = NULL; rbf->ejl = NULL; |
| 1101 |
VCOPY(rbf->invec, invec); |
| 1102 |
rbf->nrbf = n; |
| 1103 |
n = 0; /* compute RBF lobes */ |
| 1104 |
mbfact = s * miga[0]->rbfv[1]->vtotal/miga[0]->rbfv[0]->vtotal * |
| 1105 |
(1.-t + t*miga[1]->rbfv[1]->vtotal/miga[1]->rbfv[0]->vtotal); |
| 1106 |
mcfact = (1.-s) * |
| 1107 |
(1.-t + t*miga[2]->rbfv[1]->vtotal/miga[2]->rbfv[0]->vtotal); |
| 1108 |
for (i = 0; i < mtx_nrows(miga[0]); i++) { |
| 1109 |
const RBFVAL *rbf0i = &miga[0]->rbfv[0]->rbfa[i]; |
| 1110 |
const float w0i = rbf0i->peak; |
| 1111 |
const double rad0i = R2ANG(rbf0i->crad); |
| 1112 |
ovec_from_pos(v0, rbf0i->gx, rbf0i->gy); |
| 1113 |
for (j = 0; j < mtx_ncols(miga[0]); j++) { |
| 1114 |
const float ma = miga[0]->mtx[mtx_ndx(miga[0],i,j)]; |
| 1115 |
const RBFVAL *rbf1j; |
| 1116 |
double rad1j, srad2; |
| 1117 |
if (ma <= FTINY) |
| 1118 |
continue; |
| 1119 |
rbf1j = &miga[0]->rbfv[1]->rbfa[j]; |
| 1120 |
rad1j = R2ANG(rbf1j->crad); |
| 1121 |
srad2 = (1.-s)*(1.-t)*rad0i*rad0i + s*(1.-t)*rad1j*rad1j; |
| 1122 |
ovec_from_pos(v1, rbf1j->gx, rbf1j->gy); |
| 1123 |
geodesic(v1, v0, v1, s, GEOD_REL); |
| 1124 |
for (k = 0; k < mtx_ncols(miga[2]); k++) { |
| 1125 |
float mb = miga[1]->mtx[mtx_ndx(miga[1],j,k)]; |
| 1126 |
float mc = miga[2]->mtx[mtx_ndx(miga[2],i,k)]; |
| 1127 |
const RBFVAL *rbf2k; |
| 1128 |
double rad2k; |
| 1129 |
FVECT vout; |
| 1130 |
int pos[2]; |
| 1131 |
if ((mb <= FTINY) | (mc <= FTINY)) |
| 1132 |
continue; |
| 1133 |
rbf2k = &miga[2]->rbfv[1]->rbfa[k]; |
| 1134 |
rbf->rbfa[n].peak = w0i * ma * (mb*mbfact + mc*mcfact); |
| 1135 |
rad2k = R2ANG(rbf2k->crad); |
| 1136 |
rbf->rbfa[n].crad = RAD2R(sqrt(srad2 + t*rad2k*rad2k)); |
| 1137 |
ovec_from_pos(v2, rbf2k->gx, rbf2k->gy); |
| 1138 |
geodesic(vout, v1, v2, t, GEOD_REL); |
| 1139 |
pos_from_vec(pos, vout); |
| 1140 |
rbf->rbfa[n].gx = pos[0]; |
| 1141 |
rbf->rbfa[n].gy = pos[1]; |
| 1142 |
++n; |
| 1143 |
} |
| 1144 |
} |
| 1145 |
} |
| 1146 |
rbf->vtotal = miga[0]->rbfv[0]->vtotal * (mbfact + mcfact); |
| 1147 |
return(rbf); |
| 1148 |
} |
| 1149 |
|
| 1150 |
#if 1 |
| 1151 |
/* Test main produces a Radiance model from the given input file */ |
| 1152 |
int |
| 1153 |
main(int argc, char *argv[]) |
| 1154 |
{ |
| 1155 |
char buf[128]; |
| 1156 |
FILE *pfp; |
| 1157 |
double bsdf; |
| 1158 |
FVECT dir; |
| 1159 |
int i, j, n; |
| 1160 |
|
| 1161 |
if (argc != 2) { |
| 1162 |
fprintf(stderr, "Usage: %s input.dat > output.rad\n", argv[0]); |
| 1163 |
return(1); |
| 1164 |
} |
| 1165 |
if (!load_pabopto_meas(argv[1])) |
| 1166 |
return(1); |
| 1167 |
|
| 1168 |
compute_radii(); |
| 1169 |
cull_values(); |
| 1170 |
make_rbfrep(); |
| 1171 |
/* produce spheres at meas. */ |
| 1172 |
puts("void plastic yellow\n0\n0\n5 .6 .4 .01 .04 .08\n"); |
| 1173 |
puts("void plastic pink\n0\n0\n5 .5 .05 .9 .04 .08\n"); |
| 1174 |
n = 0; |
| 1175 |
for (i = 0; i < GRIDRES; i++) |
| 1176 |
for (j = 0; j < GRIDRES; j++) |
| 1177 |
if (dsf_grid[i][j].vsum > .0f) { |
| 1178 |
ovec_from_pos(dir, i, j); |
| 1179 |
bsdf = dsf_grid[i][j].vsum / dir[2]; |
| 1180 |
if (dsf_grid[i][j].nval) { |
| 1181 |
printf("pink cone c%04d\n0\n0\n8\n", ++n); |
| 1182 |
printf("\t%.6g %.6g %.6g\n", |
| 1183 |
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
| 1184 |
printf("\t%.6g %.6g %.6g\n", |
| 1185 |
dir[0]*(bsdf+.005), dir[1]*(bsdf+.005), |
| 1186 |
dir[2]*(bsdf+.005)); |
| 1187 |
puts("\t.003\t0\n"); |
| 1188 |
} else { |
| 1189 |
ovec_from_pos(dir, i, j); |
| 1190 |
printf("yellow sphere s%04d\n0\n0\n", ++n); |
| 1191 |
printf("4 %.6g %.6g %.6g .0015\n\n", |
| 1192 |
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
| 1193 |
} |
| 1194 |
} |
| 1195 |
/* output continuous surface */ |
| 1196 |
puts("void trans tgreen\n0\n0\n7 .7 1 .7 .04 .04 .9 .9\n"); |
| 1197 |
fflush(stdout); |
| 1198 |
sprintf(buf, "gensurf tgreen bsdf - - - %d %d", GRIDRES-1, GRIDRES-1); |
| 1199 |
pfp = popen(buf, "w"); |
| 1200 |
if (pfp == NULL) { |
| 1201 |
fputs(buf, stderr); |
| 1202 |
fputs(": cannot start command\n", stderr); |
| 1203 |
return(1); |
| 1204 |
} |
| 1205 |
for (i = 0; i < GRIDRES; i++) |
| 1206 |
for (j = 0; j < GRIDRES; j++) { |
| 1207 |
ovec_from_pos(dir, i, j); |
| 1208 |
bsdf = eval_rbfrep(dsf_list, dir) / dir[2]; |
| 1209 |
fprintf(pfp, "%.8e %.8e %.8e\n", |
| 1210 |
dir[0]*bsdf, dir[1]*bsdf, dir[2]*bsdf); |
| 1211 |
} |
| 1212 |
return(pclose(pfp)==0 ? 0 : 1); |
| 1213 |
} |
| 1214 |
#endif |
