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integrate.cpp
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integrate.cpp
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/* Copyright (C) 2005-2021 Massachusetts Institute of Technology.
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#include "meep.hpp"
#include "meep_internals.hpp"
/* generic integration and related routines, based fields::loop_in_chunk */
using namespace std;
namespace meep {
struct integrate_data {
int num_fvals;
const component *components;
component *cS;
complex<double> *ph;
complex<double> *fvals;
ptrdiff_t *offsets;
int ninveps;
component inveps_cs[3];
direction inveps_ds[3];
int ninvmu;
component invmu_cs[3];
direction invmu_ds[3];
complex<long double> sum;
double maxabs;
field_function integrand;
void *integrand_data_;
};
static void integrate_chunkloop(fields_chunk *fc, int ichunk, component cgrid, ivec is, ivec ie,
vec s0, vec s1, vec e0, vec e1, double dV0, double dV1, ivec shift,
complex<double> shift_phase, const symmetry &S, int sn,
void *data_) {
(void)ichunk; // unused
integrate_data *data = (integrate_data *)data_;
ptrdiff_t *off = data->offsets;
component *cS = data->cS;
complex<double> *fvals = data->fvals, *ph = data->ph;
complex<long double> sum = 0.0;
double maxabs = 0;
const component *iecs = data->inveps_cs;
const direction *ieds = data->inveps_ds;
ptrdiff_t ieos[6];
const component *imcs = data->invmu_cs;
const direction *imds = data->invmu_ds;
ptrdiff_t imos[6];
for (int i = 0; i < data->num_fvals; ++i) {
cS[i] = S.transform(data->components[i], -sn);
if (cS[i] == Dielectric || cS[i] == Permeability)
ph[i] = 1.0;
else {
if (cgrid == Centered) fc->gv.yee2cent_offsets(cS[i], off[2 * i], off[2 * i + 1]);
ph[i] = shift_phase * S.phase_shift(cS[i], sn);
}
}
for (int k = 0; k < data->ninveps; ++k)
fc->gv.yee2cent_offsets(iecs[k], ieos[2 * k], ieos[2 * k + 1]);
for (int k = 0; k < data->ninvmu; ++k)
fc->gv.yee2cent_offsets(imcs[k], imos[2 * k], imos[2 * k + 1]);
vec rshift(shift * (0.5 * fc->gv.inva));
LOOP_OVER_IVECS(fc->gv, is, ie, idx) {
IVEC_LOOP_LOC(fc->gv, loc);
loc = S.transform(loc, sn) + rshift;
for (int i = 0; i < data->num_fvals; ++i) {
if (cS[i] == Dielectric) {
double tr = 0.0;
for (int k = 0; k < data->ninveps; ++k) {
const realnum *ie = fc->s->chi1inv[iecs[k]][ieds[k]];
if (ie)
tr += (ie[idx] + ie[idx + ieos[2 * k]] + ie[idx + ieos[1 + 2 * k]] +
ie[idx + ieos[2 * k] + ieos[1 + 2 * k]]);
else
tr += 4; // default inveps == 1
}
fvals[i] = (4 * data->ninveps) / tr;
}
else if (cS[i] == Permeability) {
double tr = 0.0;
for (int k = 0; k < data->ninvmu; ++k) {
const realnum *im = fc->s->chi1inv[imcs[k]][imds[k]];
if (im)
tr += (im[idx] + im[idx + imos[2 * k]] + im[idx + imos[1 + 2 * k]] +
im[idx + imos[2 * k] + imos[1 + 2 * k]]);
else
tr += 4; // default invmu == 1
}
fvals[i] = (4 * data->ninvmu) / tr;
}
else {
double f[2];
for (int k = 0; k < 2; ++k)
if (fc->f[cS[i]][k])
f[k] = 0.25 * (fc->f[cS[i]][k][idx] + fc->f[cS[i]][k][idx + off[2 * i]] +
fc->f[cS[i]][k][idx + off[2 * i + 1]] +
fc->f[cS[i]][k][idx + off[2 * i] + off[2 * i + 1]]);
else
f[k] = 0;
fvals[i] = complex<double>(f[0], f[1]) * ph[i];
}
}
complex<double> integrand = data->integrand(fvals, loc, data->integrand_data_);
maxabs = max(maxabs, abs(integrand));
sum += integrand * IVEC_LOOP_WEIGHT(s0, s1, e0, e1, dV0 + dV1 * loop_i2);
}
data->maxabs = max(data->maxabs, maxabs);
data->sum += sum;
}
complex<double> fields::integrate(int num_fvals, const component *components,
field_function integrand, void *integrand_data_,
const volume &where, double *maxabs) {
// check if components are all on the same grid:
bool same_grid = true;
for (int i = 1; i < num_fvals; ++i)
if (gv.iyee_shift(components[i]) != gv.iyee_shift(components[0])) {
same_grid = false;
break;
}
component cgrid = Centered;
if (same_grid && num_fvals > 0) cgrid = components[0];
integrate_data data;
data.num_fvals = num_fvals;
data.components = components;
data.cS = new component[num_fvals];
data.ph = new complex<double>[num_fvals];
data.fvals = new complex<double>[num_fvals];
data.sum = 0;
data.maxabs = 0;
data.integrand = integrand;
data.integrand_data_ = integrand_data_;
/* compute inverse-epsilon directions for computing Dielectric fields */
data.ninveps = 0;
bool needs_dielectric = false;
for (int i = 0; i < num_fvals; ++i)
if (components[i] == Dielectric) {
needs_dielectric = true;
break;
}
if (needs_dielectric) FOR_ELECTRIC_COMPONENTS(c) if (gv.has_field(c)) {
if (data.ninveps == 3) abort("more than 3 field components??");
data.inveps_cs[data.ninveps] = c;
data.inveps_ds[data.ninveps] = component_direction(c);
++data.ninveps;
}
/* compute inverse-mu directions for computing Permeability fields */
data.ninvmu = 0;
bool needs_permeability = false;
for (int i = 0; i < num_fvals; ++i)
if (components[i] == Permeability) {
needs_permeability = true;
break;
}
if (needs_permeability) FOR_MAGNETIC_COMPONENTS(c) if (gv.has_field(c)) {
if (data.ninvmu == 3) abort("more than 3 field components??");
data.invmu_cs[data.ninvmu] = c;
data.invmu_ds[data.ninvmu] = component_direction(c);
++data.ninvmu;
}
data.offsets = new ptrdiff_t[2 * num_fvals];
for (int i = 0; i < 2 * num_fvals; ++i)
data.offsets[i] = 0;
loop_in_chunks(integrate_chunkloop, (void *)&data, where, cgrid);
delete[] data.offsets;
delete[] data.fvals;
delete[] data.ph;
delete[] data.cS;
if (maxabs) *maxabs = max_to_all(data.maxabs);
data.sum = sum_to_all(data.sum);
return complex<double>(real(data.sum), imag(data.sum));
}
typedef struct {
field_rfunction integrand;
void *integrand_data;
} rfun_wrap_data;
static complex<double> rfun_wrap(const complex<double> *fvals, const vec &loc, void *data_) {
rfun_wrap_data *data = (rfun_wrap_data *)data_;
return data->integrand(fvals, loc, data->integrand_data);
}
double fields::integrate(int num_fvals, const component *components, field_rfunction integrand,
void *integrand_data_, const volume &where, double *maxabs) {
rfun_wrap_data data;
data.integrand = integrand;
data.integrand_data = integrand_data_;
return real(integrate(num_fvals, components, rfun_wrap, &data, where, maxabs));
}
double fields::max_abs(int num_fvals, const component *components, field_function integrand,
void *integrand_data_, const volume &where) {
double maxabs;
integrate(num_fvals, components, integrand, integrand_data_, where, &maxabs);
return maxabs;
}
double fields::max_abs(int num_fvals, const component *components, field_rfunction integrand,
void *integrand_data_, const volume &where) {
rfun_wrap_data data;
data.integrand = integrand;
data.integrand_data = integrand_data_;
return max_abs(num_fvals, components, rfun_wrap, &data, where);
}
static complex<double> return_the_field(const complex<double> *fields, const vec &loc,
void *integrand_data_) {
(void)integrand_data_;
(void)loc; // unused
return fields[0];
}
double fields::max_abs(int c, const volume &where) {
if (is_derived(c))
return max_abs(derived_component(c), where);
else
return max_abs(component(c), where);
}
double fields::max_abs(component c, const volume &where) {
if (is_derived(int(c))) return max_abs(derived_component(c), where);
return max_abs(1, &c, return_the_field, 0, where);
}
double fields::max_abs(derived_component c, const volume &where) {
if (!is_derived(int(c))) return max_abs(component(c), where);
int nfields;
component cs[12];
field_rfunction fun = derived_component_func(c, gv, nfields, cs);
return max_abs(nfields, cs, fun, &nfields, where);
}
} // namespace meep