/
integrate2.cpp
315 lines (288 loc) · 9.88 KB
/
integrate2.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
/* Copyright (C) 2005-2015 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 */
using namespace std;
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