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authorThomas White <taw@physics.org>2010-10-27 20:02:59 +0200
committerThomas White <taw@physics.org>2012-02-22 15:27:04 +0100
commit533c10431f319c5cc943e49e4cefe58e8ce6c2cf (patch)
treefeae83731545f90d9a0b0105ba0a333e9815726c /src/geometry.c
parentf47803a3d004131493b20f9a3a3b5d9cccdaaf2a (diff)
facetron: Work on geometry
Diffstat (limited to 'src/geometry.c')
-rw-r--r--src/geometry.c188
1 files changed, 128 insertions, 60 deletions
diff --git a/src/geometry.c b/src/geometry.c
index cca2d050..2b94e7ba 100644
--- a/src/geometry.c
+++ b/src/geometry.c
@@ -15,18 +15,93 @@
#include <stdlib.h>
+#include <gsl/gsl_poly.h>
+#include <assert.h>
#include "utils.h"
#include "cell.h"
#include "image.h"
#include "peaks.h"
+#include "beam-parameters.h"
-#define MAX_CPEAKS (1024)
+#define MAX_CPEAKS (256 * 256)
+
+
+static signed int locate_peak(double x, double y, double z, double lambda,
+ struct detector *det, double *xdap, double *ydap)
+{
+ int p;
+ signed int found = -1;
+ const double den = 1.0/lambda + z;
+
+ for ( p=0; p<det->n_panels; p++ ) {
+
+ double xd, yd, cl;
+ double xda, yda;
+
+ /* Camera length for this panel */
+ cl = det->panels[p].clen;
+
+ /* Coordinates of peak relative to central beam, in m */
+ xd = cl * x / den;
+ yd = cl * y / den;
+
+ /* Convert to pixels */
+ xd *= det->panels[p].res;
+ yd *= det->panels[p].res;
+
+ /* Add the coordinates of the central beam */
+ xda = xd + det->panels[p].cx;
+ yda = yd + det->panels[p].cy;
+
+ /* Now, is this on this panel? */
+ if ( xda < det->panels[p].min_x ) continue;
+ if ( xda > det->panels[p].max_x ) continue;
+ if ( yda < det->panels[p].min_y ) continue;
+ if ( yda > det->panels[p].max_y ) continue;
+
+ /* If peak appears on multiple panels, reject it */
+ if ( found != -1 ) return -1;
+
+ /* Woohoo! */
+ found = p;
+ *xdap = xda;
+ *ydap = yda;
+
+ }
+
+ return found;
+}
+
+
+static double excitation_error(double xl, double yl, double zl,
+ double ds_sq, double lambda)
+{
+ double tt;
+ double a, b, c;
+ double r1, r2;
+ int n;
+
+ tt = angle_between(0.0, 0.0, 1.0, xl, yl, zl+1.0/lambda);
+
+ a = 1.0;
+ b = - cos(tt) * 2.0/lambda;
+ c = pow(lambda, -2.0) - ds_sq;
+
+ /* FIXME: I don't trust GSL's quadratic solver */
+ n = gsl_poly_solve_quadratic(a, b, c, &r1, &r2);
+ assert(n == 2);
+
+ r1 -= 1.0/lambda;
+ r2 -= 1.0/lambda;
+
+ if ( r1 > r2 ) return r2;
+ return r1;
+}
struct cpeak *find_intersections(struct image *image, UnitCell *cell,
- double divergence, double bandwidth,
int *n, int output)
{
double asx, asy, asz;
@@ -37,6 +112,11 @@ struct cpeak *find_intersections(struct image *image, UnitCell *cell,
int hmax, kmax, lmax;
double mres;
signed int h, k, l;
+ double bandwidth = image->bw;
+ double divergence = image->div;
+ double lambda = image->lambda;
+ const double profile_cutoff = 0.05e9; /* 0.1 nm^-1 */
+ double llow, lhigh; /* Wavelength */
cpeaks = malloc(sizeof(struct cpeak)*MAX_CPEAKS);
if ( cpeaks == NULL ) {
@@ -48,103 +128,91 @@ struct cpeak *find_intersections(struct image *image, UnitCell *cell,
&bsx, &bsy, &bsz,
&csx, &csy, &csz);
+ /* FIXME: Account for left-handed indexing */
+ asz = -asz; bsz = -bsz; csz = -csz;
+
mres = 1.0 / 8.0e-10; /* 8 Angstroms */
hmax = mres / modulus(asx, asy, asz);
kmax = mres / modulus(bsx, bsy, bsz);
lmax = mres / modulus(csx, csy, csz);
+ /* "low" gives the largest Ewald sphere,
+ * "high" gives the smallest Ewald sphere. */
+ llow = lambda - lambda*bandwidth/2.0;
+ lhigh = lambda + lambda*bandwidth/2.0;
+
for ( h=-hmax; h<hmax; h++ ) {
for ( k=-kmax; k<kmax; k++ ) {
for ( l=-lmax; l<lmax; l++ ) {
double xl, yl, zl;
- double ds_sq, dps_sq;
- double delta, divfact;
- double llow, lhigh;
- double xd, yd, cl;
+ double ds, ds_sq;
+ double rlow, rhigh; /* "Excitation error" */
+ signed int plow, phigh;
+ double xdalow, xdahigh;
+ double ydalow, ydahigh;
double xda, yda;
- int p;
- int found = 0;
+ /* Ignore central beam */
if ( (h==0) && (k==0) && (l==0) ) continue;
- llow = image->lambda - image->lambda*bandwidth/2.0;
- lhigh = image->lambda + image->lambda*bandwidth/2.0;
-
/* Get the coordinates of the reciprocal lattice point */
zl = h*asz + k*bsz + l*csz;
- if ( zl < 0.0 ) continue; /* Do this check very early */
+ if ( zl > 0.0 ) continue; /* Throw out if it's "in front" */
xl = h*asx + k*bsx + l*csx;
yl = h*asy + k*bsy + l*csy;
+ /* Calculate reciprocal lattice point modulus (and square) */
ds_sq = modulus_squared(xl, yl, zl); /* d*^2 */
- delta = divergence/image->lambda;
- dps_sq = ds_sq + pow(delta, 2.0); /* d'*^2 */
-
- /* In range? */
- divfact = 2.0 * delta * sqrt(xl*xl + yl*yl);
- if ( ds_sq - 2.0*zl/llow > 0.0 ) continue;
- if ( ds_sq - 2.0*zl/lhigh < 0.0 ) continue;
-
- /* Work out which panel this peak would fall on */
- for ( p=0; p<image->det->n_panels; p++ ) {
-
- /* Camera length for this panel */
- cl = image->det->panels[p].clen;
-
- /* Coordinates of peak relative to central beam, in m */
- xd = cl*xl / (ds_sq/(2.0*zl) - zl);
- yd = cl*yl / (ds_sq/(2.0*zl) - zl);
-
- /* Convert to pixels */
- xd *= image->det->panels[p].res;
- yd *= image->det->panels[p].res;
-
- /* Add the coordinates of the central beam */
- xda = xd + image->det->panels[p].cx;
- yda = yd + image->det->panels[p].cy;
-
- /* Now, is this on this panel? */
- if ( xda < image->det->panels[p].min_x ) continue;
- if ( xda > image->det->panels[p].max_x ) continue;
- if ( yda < image->det->panels[p].min_y ) continue;
- if ( yda > image->det->panels[p].max_y ) continue;
-
- /* Woohoo! */
- found = 1;
- break;
-
+ ds = sqrt(ds_sq);
+ if ( ds > mres ) continue; /* Outside resolution range */
+
+ /* Calculate excitation errors */
+ rlow = excitation_error(xl, yl, zl, ds_sq, llow);
+ rhigh = excitation_error(xl, yl, zl, ds_sq, lhigh);
+
+ if ( (fabs(rlow) > profile_cutoff)
+ && (fabs(rhigh) > profile_cutoff) ) {
+ /* Reflection is not close to Bragg at either of
+ * the two extremes of wavelength, so skip it. */
+ continue;
}
- if ( !found ) continue;
-
+ /* Locate peak on detector, and check it doesn't span panels */
+ plow = locate_peak(xl, yl, zl, llow, image->det,
+ &xdalow, &ydalow);
+ if ( plow == -1 ) continue;
+ phigh = locate_peak(xl, yl, zl, lhigh, image->det,
+ &xdahigh, &ydahigh);
+ if ( phigh == -1 ) continue;
+ if ( plow != phigh ) continue;
+
+ xda = xdahigh;
+ yda = ydahigh;
cpeaks[np].h = h;
cpeaks[np].k = k;
cpeaks[np].l = l;
- cpeaks[np].x = xda;
- cpeaks[np].y = yda;
+ cpeaks[np].x = xdahigh;
+ cpeaks[np].y = ydahigh;
np++;
if ( output ) {
- printf("%i %i %i 0.0 (at %f,%f)\n", h, k, l, xda, yda);
+ printf("%3i %3i %3i %6f (at %5.2f,%5.2f) %9e %9e\n",
+ h, k, l, 0.0, xda, yda, rlow, rhigh);
}
+ if ( np == MAX_CPEAKS ) goto out;
+
}
}
}
+out:
*n = np;
return cpeaks;
}
-/* Return the partiality of this reflection in this image */
-double partiality(struct image *image, signed int h, signed int k, signed int l)
-{
- return 1.0;
-}
-
-
double integrate_all(struct image *image, struct cpeak *cpeaks, int n)
{
double itot = 0.0;