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integrate2.cpp
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integrate2.cpp
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/* Copyright (C) 2005-2012 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"
/* integration routine similar to those in integrate.cpp, but
integrating a combination of two fields from two different
simulations (assumed to have identical grids etcetera), based on
fields::loop_in_chunk */
namespace meep {
struct integrate_data {
int num_fvals;
const component *components;
const fields *fields2;
int num_fvals2;
const component *components2;
component *cS;
complex<double> *ph;
complex<double> *fvals;
int *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_;
int *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;
int ieos[6];
const component *imcs = data->invmu_cs;
const direction *imds = data->invmu_ds;
int num_fvals1 = data->num_fvals;
int num_fvals2 = data->num_fvals2;
int imos[6];
const fields_chunk *fc2 = data->fields2->chunks[ichunk];
for (int i = 0; i < num_fvals1; ++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 i = 0; i < num_fvals2; ++i) {
int j = i + num_fvals1;
cS[j] = S.transform(data->components2[i], -sn);
if (cS[j] == Dielectric || cS[j] == Permeability)
ph[j] = 1.0;
else {
if (cgrid == Centered)
fc->gv.yee2cent_offsets(cS[j], off[2*j], off[2*j+1]);
ph[j] = shift_phase * S.phase_shift(cS[j], 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];
}
}
for (int j = 0; j < num_fvals2; ++j) {
int i = j + num_fvals1;
if (cS[i] == Dielectric) {
double tr = 0.0;
for (int k = 0; k < data->ninveps; ++k) {
const realnum *ie = fc2->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 = fc2->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 (fc2->f[cS[i]][k])
f[k] = 0.25 * (fc2->f[cS[i]][k][idx]
+ fc2->f[cS[i]][k][idx+off[2*i]]
+ fc2->f[cS[i]][k][idx+off[2*i+1]]
+ fc2->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::integrate2(const fields &fields2,
int num_fvals1,
const component *components1,
int num_fvals2,
const component *components2,
field_function integrand,
void *integrand_data_,
const volume &where,
double *maxabs)
{
if (!equal_layout(fields2))
abort("invalid call to integrate2: fields must have equal grid layout");
if (num_fvals2 == 0)
return integrate(num_fvals1, components1, integrand, integrand_data_,
where, maxabs);
if (num_fvals1 == 0)
return const_cast<fields&>(fields2).integrate(num_fvals2, components2,
integrand, integrand_data_, where, maxabs);
// check if components are all on the same grid:
bool same_grid = true;
for (int i = 1; i < num_fvals1; ++i)
if (gv.iyee_shift(components1[i]) != gv.iyee_shift(components1[0])) {
same_grid = false;
break;
}
if (same_grid)
for (int i = 0; i < num_fvals2; ++i)
if (gv.iyee_shift(components2[i]) != gv.iyee_shift(components1[0])) {
same_grid = false;
break;
}
component cgrid = Centered;
if (same_grid)
cgrid = components1[0];
integrate_data data;
data.num_fvals = num_fvals1;
data.components = components1;
data.fields2 = &fields2;
data.num_fvals2 = num_fvals2;
data.components2 = components2;
data.cS = new component[num_fvals1 + num_fvals2];
data.ph = new complex<double>[num_fvals1 + num_fvals2];
data.fvals = new complex<double>[num_fvals1 + num_fvals2];
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_fvals1; ++i)
if (components1[i] == Dielectric) { needs_dielectric = true; break; }
if (!needs_dielectric) for (int i = 0; i < num_fvals2; ++i)
if (components2[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_fvals1; ++i)
if (components1[i] == Permeability) { needs_permeability = true; break; }
if (!needs_permeability) for (int i = 0; i < num_fvals2; ++i)
if (components2[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 int[2 * (num_fvals1 + num_fvals2)];
for (int i = 0; i < 2 * (num_fvals1 + num_fvals2); ++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> *fields,
const vec &loc, void *data_) {
rfun_wrap_data *data = (rfun_wrap_data *) data_;
return data->integrand(fields, loc, data->integrand_data);
}
double fields::integrate2(const fields &fields2,
int num_fvals1, const component *components1,
int num_fvals2, const component *components2,
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(integrate2(fields2, num_fvals1, components1,
num_fvals2, components2,
rfun_wrap,
&data, where, maxabs));
}
} // namespace meep