Plane wave decomposition now works for the transversal part (not yet longitudinal)
Former-commit-id: 83dadf35d24a66c7576395f6f156f5e7586551cd
This commit is contained in:
Marek Nečada
parent
6198a992f9
commit
dbc118e712
|
|
@ -22,30 +22,64 @@ char *normstr(qpms_normalisation_t norm) {
|
|||
}
|
||||
}
|
||||
int test_planewave_decomposition(cart3_t k, ccart3_t E, qpms_l_t lMax, qpms_normalisation_t norm, int npoints, cart3_t *points);
|
||||
int test_planewave_decomposition_silent(cart3_t k, ccart3_t E, qpms_l_t lMax, qpms_normalisation_t norm, int npoints, cart3_t *points, double relerrthreshold, double *relerrs);
|
||||
|
||||
int main() {
|
||||
gsl_rng *rng = gsl_rng_alloc(gsl_rng_ranlxs0);
|
||||
gsl_rng_set(rng, 666);
|
||||
|
||||
qpms_l_t lMax = 20;
|
||||
qpms_l_t lMax = 50;
|
||||
int npoints = 10;
|
||||
double sigma = 1.3;
|
||||
cart3_t points[npoints];
|
||||
double relerrs[npoints];
|
||||
memset(points, 0, npoints * sizeof(cart3_t));
|
||||
points[0].x = points[1].y = points[2].z = 1.;
|
||||
for (unsigned i = 3; i < npoints; ++i) {
|
||||
points[1].x = points[2].y = points[3].z = 1.;
|
||||
double relerrthreshold = 1e-11;
|
||||
for (unsigned i = 4; i < npoints; ++i) {
|
||||
cart3_t *w = points+i;
|
||||
w->x = gsl_ran_gaussian(rng, sigma);
|
||||
w->y = gsl_ran_gaussian(rng, sigma);
|
||||
w->z = gsl_ran_gaussian(rng, sigma);
|
||||
}
|
||||
|
||||
double ksigma = 15;
|
||||
|
||||
for(int i = 1; i < 2; ++i) {
|
||||
cart3_t k = {0, 0, 2};
|
||||
ccart3_t E = {0., 1.1+I, 0.};
|
||||
if(i){
|
||||
k.x = gsl_ran_gaussian(rng, ksigma);
|
||||
k.y = gsl_ran_gaussian(rng, ksigma);
|
||||
k.z = gsl_ran_gaussian(rng, ksigma);
|
||||
E.x = gsl_ran_gaussian(rng, ksigma);
|
||||
E.x += I* gsl_ran_gaussian(rng, ksigma);
|
||||
E.y = gsl_ran_gaussian(rng, ksigma);
|
||||
E.y += I* gsl_ran_gaussian(rng, ksigma);
|
||||
E.z = gsl_ran_gaussian(rng, ksigma);
|
||||
E.z += I* gsl_ran_gaussian(rng, ksigma);
|
||||
}
|
||||
#if 0
|
||||
printf("Test wave k = %gx̂ + %gŷ + %gẑ", k.x, k.y, k.z);
|
||||
printf(", E_0 = (%g+%gj)x̂ + (%g+%gj)ŷ + (%g+%gj)ẑ\n",
|
||||
creal(E.x),cimag(E.x),
|
||||
creal(E.y),cimag(E.y),
|
||||
creal(E.z),cimag(E.z));
|
||||
printf("%d points, sigma = %g, rel. err. threshold = %g\n", npoints, sigma, relerrthreshold);
|
||||
for(int i = 1; i <= 3; ++i){
|
||||
int res = test_planewave_decomposition_silent(k, E, lMax, i, npoints, points, relerrthreshold, relerrs);
|
||||
printf("\n%s %d/%d %s %s\n", res ? "!!" : "OK", npoints-res, npoints, normstr(i), "");
|
||||
for(int p = 0; p < npoints; ++p) printf("%.3g ", relerrs[p]);
|
||||
res = test_planewave_decomposition_silent(k, E, lMax, i |QPMS_NORMALISATION_T_CSBIT, npoints, points, relerrthreshold, relerrs);
|
||||
printf("\n%s %d/%d %s %s\n", res ? "!!" : "OK", npoints-res, npoints, normstr(i), "with C.-S. phase");
|
||||
for(int p = 0; p < npoints; ++p) printf("%.3g ", relerrs[p]);
|
||||
}
|
||||
#endif
|
||||
for(int i = 1; i <= 3; ++i){
|
||||
test_planewave_decomposition(k, E, lMax, i, npoints, points);
|
||||
test_planewave_decomposition(k, E, lMax, i | QPMS_NORMALISATION_T_CSBIT, npoints, points);
|
||||
}
|
||||
|
||||
cart3_t k = {0, 0, 1};
|
||||
ccart3_t E = {0., 1., 0.};
|
||||
for(int i = 1; i <= 3; ++i){
|
||||
test_planewave_decomposition(k, E, lMax, i, npoints, points);
|
||||
test_planewave_decomposition(k, E, lMax, i | QPMS_NORMALISATION_T_CSBIT, npoints, points);
|
||||
}
|
||||
gsl_rng_free(rng);
|
||||
}
|
||||
|
|
@ -84,9 +118,9 @@ int test_planewave_decomposition(cart3_t k, ccart3_t E, qpms_l_t lMax, qpms_norm
|
|||
sph_t w_sph = cart2sph(w);
|
||||
printf("Point %d: x = %f, y = %f, z = %f,\n", i, w.x, w.y, w.z);
|
||||
printf(" |r| = %f, θ = %f, φ = %f:\n", w_sph.r, w_sph.theta, w_sph.phi);
|
||||
double ph_2pi = cart3_dot(k,w);
|
||||
printf(" k.r = %f\n", ph_2pi);
|
||||
double phfac = cexp(2 * M_PI * ph_2pi * I);
|
||||
double phase = cart3_dot(k,w);
|
||||
printf(" k.r = %f\n", phase);
|
||||
complex double phfac = cexp(phase * I);
|
||||
ccart3_t Ew = ccart3_scale(phfac, E);
|
||||
printf(" pw E(r) = (%f+%fj)x̂ + (%f+%fj)ŷ + (%f+%fj)ẑ",
|
||||
creal(Ew.x),cimag(Ew.x),
|
||||
|
|
@ -97,6 +131,7 @@ int test_planewave_decomposition(cart3_t k, ccart3_t E, qpms_l_t lMax, qpms_norm
|
|||
creal(Ew_s.rc), cimag(Ew_s.rc),
|
||||
creal(Ew_s.thetac), cimag(Ew_s.thetac),
|
||||
creal(Ew_s.phic), cimag(Ew_s.phic));
|
||||
w_sph.r *= k_sph.r; /// NEVER FORGET THIS!!!
|
||||
csphvec_t Ew_s_recomp = qpms_eval_vswf(w_sph,
|
||||
lc, mc, ec, lMax, QPMS_BESSEL_REGULAR, norm);
|
||||
ccart3_t Ew_recomp = csphvec2ccart(Ew_s_recomp, w_sph);
|
||||
|
|
@ -108,13 +143,50 @@ int test_planewave_decomposition(cart3_t k, ccart3_t E, qpms_l_t lMax, qpms_norm
|
|||
creal(Ew_s_recomp.rc), cimag(Ew_s_recomp.rc),
|
||||
creal(Ew_s_recomp.thetac), cimag(Ew_s_recomp.thetac),
|
||||
creal(Ew_s_recomp.phic), cimag(Ew_s_recomp.phic));
|
||||
printf(" rel. err. magnitude: %e @ r̂, %e @ θ̂, %e @ φ̂\n",
|
||||
2. * cabs(Ew_s_recomp.rc - Ew_s.rc)
|
||||
/(cabs(Ew_s_recomp.rc) + cabs(Ew_s.rc)),
|
||||
2. * cabs(Ew_s_recomp.thetac - Ew_s.thetac)
|
||||
/(cabs(Ew_s_recomp.thetac) + cabs(Ew_s.thetac)),
|
||||
2. * cabs(Ew_s_recomp.phic - Ew_s.phic)
|
||||
/(cabs(Ew_s_recomp.phic) + cabs(Ew_s.phic)));
|
||||
double relerrfac = 2/(cabs(Ew_s_recomp.rc) + cabs(Ew_s.rc)
|
||||
+cabs(Ew_s_recomp.thetac) + cabs(Ew_s.thetac)
|
||||
+cabs(Ew_s_recomp.phic) + cabs(Ew_s.phic));
|
||||
printf(" rel. err. magnitude: %g @ r̂, %g @ θ̂, %g @ φ̂\n",
|
||||
cabs(Ew_s_recomp.rc - Ew_s.rc) * relerrfac,
|
||||
cabs(Ew_s_recomp.thetac - Ew_s.thetac) * relerrfac,
|
||||
cabs(Ew_s_recomp.phic - Ew_s.phic) * relerrfac
|
||||
);
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
int test_planewave_decomposition_silent(cart3_t k, ccart3_t E, qpms_l_t lMax, qpms_normalisation_t norm, int npoints, cart3_t *points, double relerrthreshold, double *relerrs) {
|
||||
qpms_y_t nelem = qpms_lMax2nelem(lMax);
|
||||
int failcount = 0;
|
||||
complex double lc[nelem], mc[nelem], ec[nelem];
|
||||
if (QPMS_SUCCESS !=
|
||||
qpms_planewave2vswf_fill_cart(k, E, lc, mc, ec, lMax, norm)) {
|
||||
printf("Error\n");
|
||||
return -1;
|
||||
}
|
||||
sph_t k_sph = cart2sph(k);
|
||||
csphvec_t E_s = ccart2csphvec(E, k_sph);
|
||||
for (int i = 0; i < npoints; i++) {
|
||||
cart3_t w = points[i];
|
||||
sph_t w_sph = cart2sph(w);
|
||||
w_sph.r *= k_sph.r;
|
||||
double phase = cart3_dot(k,w);
|
||||
complex double phfac = cexp(phase * I);
|
||||
ccart3_t Ew = ccart3_scale(phfac, E);
|
||||
csphvec_t Ew_s = ccart2csphvec(Ew, w_sph);
|
||||
csphvec_t Ew_s_recomp = qpms_eval_vswf(w_sph,
|
||||
lc, mc, ec, lMax, QPMS_BESSEL_REGULAR, norm);
|
||||
ccart3_t Ew_recomp = csphvec2ccart(Ew_s_recomp, w_sph);
|
||||
double relerrfac = 2/(cabs(Ew_s_recomp.rc) + cabs(Ew_s.rc)
|
||||
+cabs(Ew_s_recomp.thetac) + cabs(Ew_s.thetac)
|
||||
+cabs(Ew_s_recomp.phic) + cabs(Ew_s.phic));
|
||||
|
||||
double relerr = (cabs(Ew_s_recomp.rc - Ew_s.rc)
|
||||
+ cabs(Ew_s_recomp.thetac - Ew_s.thetac)
|
||||
+ cabs(Ew_s_recomp.phic - Ew_s.phic)
|
||||
) * relerrfac;
|
||||
if(relerrs) relerrs[i] = relerr;
|
||||
if(relerr > relerrthreshold) ++failcount;
|
||||
}
|
||||
return failcount;
|
||||
}
|
||||
|
|
|
|||
|
|
@ -0,0 +1,33 @@
|
|||
#include <assert.h>
|
||||
#include "vectors.h"
|
||||
#include "complex.h"
|
||||
#include <stdio.h>
|
||||
|
||||
void print_csphvec(csphvec_t v)
|
||||
{
|
||||
printf("(%f+%fj)r̂ + (%f+%fj)θ̂ + (%f+%fj)φ̂",
|
||||
creal(v.rc), cimag(v.rc),
|
||||
creal(v.thetac), cimag(v.thetac),
|
||||
creal(v.phic), cimag(v.phic)
|
||||
);
|
||||
}
|
||||
|
||||
|
||||
void print_cart3(cart3_t v)
|
||||
{
|
||||
printf("%fx̂ + %fŷ + %fẑ", v.x, v.y, v.z);
|
||||
}
|
||||
|
||||
void print_ccart3(ccart3_t v)
|
||||
{
|
||||
printf("(%f+%fj)x̂ + (%f+%fj)ŷ + (%f+%fj)ẑ",
|
||||
creal(v.x), cimag(v.x),
|
||||
creal(v.y), cimag(v.y),
|
||||
creal(v.z), cimag(v.z)
|
||||
);
|
||||
}
|
||||
|
||||
void print_sph(sph_t r)
|
||||
{
|
||||
printf("(r=%g, θ=%g, φ=%g)", r.r, r.theta, r.phi);
|
||||
}
|
||||
|
|
@ -107,4 +107,9 @@ static inline csphvec_t ccart2csphvec(const ccart3_t cartvec, const sph_t at) {
|
|||
return res;
|
||||
}
|
||||
|
||||
void print_csphvec(csphvec_t);
|
||||
void print_ccart3(ccart3_t);
|
||||
void print_cart3(cart3_t);
|
||||
void print_sph(sph_t);
|
||||
|
||||
#endif //VECTORS_H
|
||||
|
|
|
|||
|
|
@ -374,8 +374,8 @@ qpms_errno_t qpms_vecspharm_dual_fill(csphvec_t *const a1target, csphvec_t *cons
|
|||
p3->phic = 0;
|
||||
++p3;
|
||||
}
|
||||
++pleg; ++ppi; ++ptau;
|
||||
}
|
||||
++pleg; ++ppi; ++ptau;
|
||||
}
|
||||
qpms_pitau_free(pt);
|
||||
return QPMS_SUCCESS;
|
||||
|
|
|
|||
Loading…
Reference in New Issue