static void test_accuracy(){
rand_t rstat;
int seed=4;
double r0=0.2;
double dx=1./64.;
long N=1+64;
long nx=N;
long ny=N;
seed_rand(&rstat, seed);
map_t *atm=mapnew(nx, ny, dx, dx,NULL);
for(long i=0; i<nx*ny; i++){
atm->p[i]=randn(&rstat);
}
map_t *atm2=mapnew(nx, ny, dx, dx,NULL);
for(long i=0; i<nx*ny; i++){
atm2->p[i]=randn(&rstat);
}
mapwrite(atm, "atm_rand.bin");
mapwrite(atm2, "atm2_rand.bin");
fractal_do((dmat*)atm, dx, r0,L0,ninit);
mapwrite(atm, "atm_frac.bin");
fractal_inv((dmat*)atm, dx, r0,L0,ninit);
mapwrite(atm, "atm_frac_inv.bin");
fractal_trans((dmat*)atm2, dx, r0,L0,ninit);
mapwrite(atm2, "atm2_frac_trans.bin");
fractal_inv_trans((dmat*)atm2, dx, r0,L0,ninit);
mapwrite(atm2, "atm2_frac_inv_trans.bin");
/*
atm2 is u, atm is v, now comparing u'Av against v'A'u. they should be the same.
A^-1Av should be the same as v
A'^-1A'u should be the same as u.
*/
dmat *u=dread("atm2_rand.bin");
dmat *Atu=dread("atm2_frac_trans.bin");
dmat *Av=dread("atm_frac.bin");
dmat *v=dread("atm_rand.bin");
double dot1=dotdbl(u->p, Av->p, NULL, nx*ny);
double dot2=dotdbl(v->p, Atu->p, NULL, nx*ny);
info("dot1=%g, dot2=%g, diff=%g\n", dot1, dot2, dot1-dot2);
dmat *u2=dread("atm2_frac_inv_trans.bin");
dmat *v2=dread("atm_frac_inv.bin");
double d1=ddiff(u, u2);
double d2=ddiff(v, v2);
info("d1=%g, d2=%g\n", d1, d2);
}
static void test_accuracy(int argc, char **argv){
double displacex=0.01;
double displacey=0.05;
double scale=1.01;/*.414065; */
int wrap=0;
double D=30;
double D2=32;
int save=1;
if(argc>1){
scale=strtod(argv[1], 0);
}
if(argc>2){
displacex=strtod(argv[2], 0);
}
if(argc>3){
displacey=strtod(argv[3], 0);
}
if(argc>4){
wrap=strtol(argv[4], 0, 10);
}
if(argc>5){
D=strtod(argv[5], 0);
}
if(argc>6){
D2=strtod(argv[6], 0);
}
if(argc>7){
save=strtol(argv[7], 0, 10);
}
double dx=1/64.;
double dsa=0.5;
map_t *screen=mapnew(D2/dx, D2/dx, dx, dx, 0);
dset((dmat*)screen, 1);
for(long iy=0; iy<screen->ny; iy++){
for(long ix=0; ix<screen->nx; ix++){
screen->p[ix+iy*screen->nx]=sin((double)ix/screen->nx*2*M_PI)*sin((double)iy/screen->ny*2*M_PI);
}
}
/*loc for the map */
loc_t *locin=mksqloc(screen->nx,screen->ny,dx,dx,screen->ox,screen->oy);
//pts_t *pts=realloc(mkannloc(D, 0, 1./2.,0), sizeof(pts_t));
pts_t *pts=realloc(mksqloc_auto(D/dsa, D/dsa, dsa, dsa), sizeof(pts_t));
pts->dx=dx;
pts->dy=dx;
pts->nx=dsa/dx;
pts->ny=pts->nx;
loc_t *loc=pts2loc(pts);
loc_create_map(locin);
loc_create_stat(loc);
loc_create_map(loc);
locstat_t *locstat=loc->stat;
map_t *screen2=mapnew2(locin->map);
dset((dmat*)screen2, NAN);
loc_embed(screen2, locin, screen->p);
double *phi_pts, *phi_loc, *phi_stat;
double *phi_loc2loc, *phi_h, *phi_cub, *phi_cub2, *phi_cubh;
double cubic=0.3;
int ii;
info("displacex=%g, displacey=%g, scale=%g, wrap=%d\n",
displacex, displacey,scale,wrap);
double diff1, diff2,diff3,diff14,diff15;
diff1=0;
diff2=0;
diff3=0;
diff14=0;
diff15=0;
phi_pts=calloc(loc->nloc, sizeof(double));
phi_loc=calloc(loc->nloc, sizeof(double));
phi_stat=calloc(loc->nloc, sizeof(double));
phi_loc2loc=calloc(loc->nloc, sizeof(double));
map_t *map1=mapnew2(loc->map);
prop_grid_map(screen, map1, -2, displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid_map(screen, map1, 1, displacex, displacey, scale, wrap, 0,0);
toc("map\t\t");
prop_grid_pts(screen, pts, phi_pts, -2, displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid_pts(screen, pts, phi_pts, 1, displacex, displacey, scale, wrap, 0,0);
toc("pts\t\t");
prop_grid_stat(screen, locstat, phi_stat, -2,displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid_stat(screen, locstat, phi_stat , 1, displacex, displacey, scale, wrap, 0,0);
toc("stat\t");tic;
prop_grid(screen, loc, phi_loc, -2,displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid(screen, loc, phi_loc, 1,displacex, displacey, scale, wrap, 0,0);
toc("loc\t\t");
prop_nongrid(locin, screen->p,loc, phi_loc2loc, -2,displacex, displacey, scale,0,0);
toc("nongrid\t"); tic;
prop_nongrid(locin, screen->p,loc, phi_loc2loc, 1,displacex, displacey, scale,0,0);
toc("nongrid\t");
phi_h=calloc(loc->nloc,sizeof(double));
tic;
dsp *hfor=mkh(locin, loc, displacex, displacey, scale);
toc("mkh\t\t\t");
dspmulvec(phi_h,hfor, screen->p, 'n', -2);
tic;
dspmulvec(phi_h,hfor, screen->p, 'n', 1);
toc("mul h\t\t");
phi_cub=calloc(loc->nloc,sizeof(double));
phi_cub2=calloc(loc->nloc,sizeof(double));
double *phi_cub3=calloc(loc->nloc,sizeof(double));
double *phi_cub4=calloc(loc->nloc,sizeof(double));
phi_cubh=calloc(loc->nloc, sizeof(double));
prop_nongrid_cubic(locin,screen->p,loc,phi_cub,-2, displacex, displacey, scale, cubic,0,0);
tic;
prop_nongrid_cubic(locin,screen->p,loc,phi_cub,1, displacex, displacey, scale, cubic,0,0);
toc("nongrid, cubic\t");
prop_grid_cubic(screen, loc, phi_cub2, -2,displacex, displacey, scale, cubic, 0,0);
tic;
prop_grid_cubic(screen, loc, phi_cub2, 1,displacex, displacey, scale, cubic, 0,0);
toc("grid, cubic\t");
prop_grid_cubic(screen2, loc,phi_cub3, -2,displacex, displacey, scale, cubic, 0,0);
tic;
prop_grid_cubic(screen2, loc,phi_cub3, 1,displacex, displacey, scale, cubic, 0,0);
toc("grid2, cubic\t");
prop_grid_stat_cubic(screen, locstat,phi_cub4, -2,displacex, displacey, scale, cubic, 0,0);
tic;
prop_grid_stat_cubic(screen, locstat,phi_cub4, 1,displacex, displacey, scale, cubic, 0,0);
toc("grid 2stat, cubic\t");
dsp *hforcubic;
tic;
hforcubic=mkh_cubic(locin, loc, displacex, displacey, scale, cubic);
toc("mkh cubic \t\t");
dspmulvec(phi_cubh, hforcubic,screen->p,'n',-2);
tic;
dspmulvec(phi_cubh, hforcubic,screen->p,'n',1);
toc("cubic mul h\t\t");
double diffc12=0,diff45=0,diff46=0,diff47=0;
for(ii=0; ii<loc->nloc; ii++){
diff1+=fabs(phi_loc[ii]-phi_pts[ii]);
diff2+=fabs(phi_stat[ii]-phi_loc[ii]);
diff3+=fabs(phi_stat[ii]-phi_pts[ii]);
diff14+=fabs(phi_loc2loc[ii]-phi_pts[ii]);
diff15+=fabs(phi_h[ii]-phi_pts[ii]);
diff45+=fabs(phi_loc2loc[ii]-phi_h[ii]);
diffc12+=fabs(phi_cub[ii]-phi_cubh[ii]);
diff46+=fabs(phi_cub[ii]-phi_cub2[ii]);
diff47+=fabs(phi_cub[ii]-phi_cub3[ii]);
}
info2("(pts-loc)=\t%g\n(loc-stat)=\t%g\n(stat-pts)=\t%g\n"
"(loc2loc-pts)=\t%g\n(h-pts)=\t%g\n"
"(loc2loc-h)=\t%g\n"
"(cub:h-loc2loc)=\t%g\n"
"(cub:map2loc-loc2loc)=\t%g\n"
"(cub:locmap2loc-loc2loc=\t%g\n"
,diff1, diff2,diff3,diff14,diff15,diff45,diffc12,
diff46, diff47);
// exit(0);
if(!save) return;
mapwrite(screen2,"accphi_screen2");
mapwrite(screen,"accphi_screen");
locwrite((loc_t*)pts,"accphi_pts");
locwrite(loc,"accphi_loc");
locwrite(locin, "accphi_locin");
loc_create_map_npad(locin, 0, 0, 0);
mapwrite(locin->map, "accphi_locin_map");
mapwrite(loc->map, "accphi_loc_map");
mapwrite(map1, "accphi_map2map.bin");
writedbl(phi_pts,loc->nloc,1,"accphi_pts1.bin");
writedbl(phi_loc,loc->nloc,1,"accphi_loc0.bin");
writedbl(phi_stat,loc->nloc,1,"accphi_stat.bin");
writedbl(phi_loc2loc,loc->nloc,1,"accphi_loc2loc.bin");
writedbl(phi_h,loc->nloc,1,"accphi_loc2h.bin");
writedbl(phi_cub,loc->nloc,1,"accphi_cub_loc2loc.bin");
writedbl(phi_cub2,loc->nloc,1,"accphi_cub_map2loc.bin");
writedbl(phi_cub3,loc->nloc,1,"accphi_cub_locmap2loc.bin");
writedbl(phi_cub4,loc->nloc,1,"accphi_cub_locmap2stat.bin");
writedbl(phi_cubh,loc->nloc,1,"accphi_cub_loc2h.bin");
info("saved\n");
writedbl(phi_pts,loc->nloc,1,"accphi_pts.bin");
writedbl(phi_cub,loc->nloc,1,"accphi_cub.bin");
writebin(hfor, "accphi_hfor");
writebin(hforcubic, "accphi_cub_hfor");
dspfree(hfor);
dspfree(hforcubic);
free(phi_loc); free(phi_stat);
free(phi_loc2loc);
free(phi_pts);
free(phi_h);
free(phi_cub);
free(phi_cubh);
cellfree(screen);
locfree(locin);
}
