template <int dim>
bool operator() (const Point<dim> p, const Point<dim> q) const
{
+ // avoid distinguishing points by roundoff
for (unsigned int d=0; d<dim; ++d)
- if (p(d) < q(d))
+ if (p(d) < q(d) - 1e-14)
return true;
- else if (p(d) > q(d))
+ else if (p(d) > q(d) + 1e-14)
return false;
return false;
DEAL::0.0 1.0 0.50 6
DEAL::0.25 0.0 0.0 25
DEAL::0.25 0.0 0.50 40
-DEAL::0.25 0.25 0.50 42
+DEAL::0.25 0.25 0.25 31
DEAL::0.25 0.50 0.0 36
DEAL::0.25 0.50 0.50 44
DEAL::0.50 0.0 0.25 34
DEAL::0.50 0.0 1.0 15
DEAL::0.50 0.25 0.25 35
DEAL::0.50 0.50 0.0 1
-DEAL::0.50 0.50 1.0 17
+DEAL::0.50 0.50 0.50 5
DEAL::0.50 1.0 0.0 3
DEAL::0.50 1.0 1.0 22
DEAL::0.75 0.0 0.25 47
DEAL::0.75 0.25 0.0 46
-DEAL::0.75 0.25 0.25 48
+DEAL::0.75 0.25 0.50 57
DEAL::0.75 0.50 0.25 54
DEAL::1.0 0.0 0.0 49
DEAL::1.0 0.0 0.50 18
DEAL::0.12 0.0 0.12 127
DEAL::0.12 0.0 0.38 191
DEAL::0.12 0.12 0.0 129
+DEAL::0.12 0.12 0.25 130
DEAL::0.12 0.12 0.50 193
-DEAL::0.12 0.13 0.38 194
DEAL::0.12 0.25 0.12 128
DEAL::0.12 0.25 0.38 192
DEAL::0.12 0.38 0.0 164
DEAL::0.25 0.0 0.50 178
DEAL::0.25 0.0 1.0 56
DEAL::0.25 0.12 0.12 126
-DEAL::0.25 0.12 0.50 182
+DEAL::0.25 0.12 0.38 190
DEAL::0.25 0.25 0.0 108
-DEAL::0.25 0.25 0.38 188
+DEAL::0.25 0.25 0.25 112
+DEAL::0.25 0.25 0.50 180
DEAL::0.25 0.25 1.0 67
-DEAL::0.25 0.25 0.75 68
DEAL::0.25 0.38 0.12 162
DEAL::0.25 0.38 0.38 213
DEAL::0.25 0.50 0.0 150
DEAL::0.38 0.0 0.12 145
DEAL::0.38 0.0 0.38 202
DEAL::0.38 0.12 0.0 147
+DEAL::0.38 0.12 0.25 148
DEAL::0.38 0.12 0.50 204
-DEAL::0.38 0.13 0.38 205
DEAL::0.38 0.25 0.12 146
DEAL::0.38 0.25 0.38 203
DEAL::0.38 0.38 0.0 175
DEAL::0.50 0.12 0.38 201
DEAL::0.50 0.25 0.0 133
DEAL::0.50 0.25 0.25 135
-DEAL::0.50 0.25 0.75 63
DEAL::0.50 0.25 0.50 195
+DEAL::0.50 0.25 1.0 55
DEAL::0.50 0.38 0.12 173
DEAL::0.50 0.38 0.38 220
DEAL::0.50 0.50 0.0 1
DEAL::0.50 0.50 0.25 167
-DEAL::0.50 0.50 0.75 61
DEAL::0.50 0.50 0.50 5
+DEAL::0.50 0.50 1.0 50
DEAL::0.50 0.75 0.25 21
DEAL::0.50 0.75 0.75 93
DEAL::0.50 1.0 0.0 3
DEAL::0.62 0.0 0.12 237
DEAL::0.62 0.0 0.38 291
DEAL::0.62 0.12 0.0 239
+DEAL::0.62 0.12 0.25 240
DEAL::0.62 0.12 0.50 293
DEAL::0.62 0.25 0.12 238
DEAL::0.62 0.25 0.38 292
DEAL::0.62 0.38 0.0 269
-DEAL::0.62 0.38 0.38 313
-DEAL::0.62 0.50 0.0 263
-DEAL::0.62 0.50 0.25 265
-DEAL::0.62 0.50 0.50 308
-DEAL::0.63 0.13 0.38 294
+DEAL::0.62 0.38 0.25 270
+DEAL::0.62 0.38 0.50 312
+DEAL::0.62 0.50 0.12 268
+DEAL::0.62 0.50 0.38 311
DEAL::0.75 0.0 0.0 224
DEAL::0.75 0.0 0.25 226
DEAL::0.75 0.0 0.50 283
DEAL::0.75 0.0 1.0 75
DEAL::0.75 0.12 0.12 236
-DEAL::0.75 0.12 0.50 285
+DEAL::0.75 0.12 0.38 290
DEAL::0.75 0.25 0.0 225
-DEAL::0.75 0.25 0.38 289
+DEAL::0.75 0.25 0.25 227
+DEAL::0.75 0.25 0.50 284
DEAL::0.75 0.25 1.0 83
-DEAL::0.75 0.25 0.75 84
DEAL::0.75 0.38 0.12 267
DEAL::0.75 0.38 0.38 310
DEAL::0.75 0.50 0.0 260
DEAL::0.75 1.0 0.0 33
DEAL::0.75 1.0 0.50 36
DEAL::0.75 1.0 1.0 99
-DEAL::0.87 0.13 0.38 305
-DEAL::0.87 0.38 0.38 320
DEAL::0.88 0.0 0.12 255
DEAL::0.88 0.0 0.38 302
DEAL::0.88 0.12 0.0 257
+DEAL::0.88 0.12 0.25 258
DEAL::0.88 0.12 0.50 304
DEAL::0.88 0.25 0.12 256
DEAL::0.88 0.25 0.38 303
DEAL::0.88 0.38 0.0 280
+DEAL::0.88 0.38 0.25 281
DEAL::0.88 0.38 0.50 319
DEAL::0.88 0.50 0.12 279
DEAL::0.88 0.50 0.38 318
DEAL::0.0 0.33 57
DEAL::0.0 0.50 0
DEAL::0.0 0.83 5
-DEAL::0.083 0.17 42
DEAL::0.083 0.0 36
-DEAL::0.083 0.25 38
+DEAL::0.083 0.17 42
+DEAL::0.083 0.33 63
DEAL::0.083 0.50 61
-DEAL::0.17 0.42 66
+DEAL::0.17 0.083 41
DEAL::0.17 0.25 39
-DEAL::0.17 0.83 14
-DEAL::0.17 0.33 64
+DEAL::0.17 0.42 66
DEAL::0.17 0.67 12
-DEAL::0.25 0.0 29
-DEAL::0.25 0.17 35
-DEAL::0.25 0.33 59
-DEAL::0.25 0.50 56
+DEAL::0.17 1.0 10
+DEAL::0.25 0.083 34
+DEAL::0.25 0.25 31
+DEAL::0.25 0.42 60
+DEAL::0.33 0.0 48
DEAL::0.33 0.17 54
-DEAL::0.33 1.0 11
-DEAL::0.33 0.083 52
DEAL::0.33 0.33 71
DEAL::0.33 0.50 69
+DEAL::0.33 0.83 15
DEAL::0.42 0.0 49
-DEAL::0.42 0.25 51
-DEAL::0.42 0.50 70
+DEAL::0.42 0.17 55
DEAL::0.42 0.33 72
+DEAL::0.42 0.50 70
DEAL::0.50 0.083 46
DEAL::0.50 0.25 45
DEAL::0.50 0.42 68
DEAL::0.50 0.67 6
DEAL::0.50 1.0 3
-DEAL::0.58 0.0 79
+DEAL::0.58 0.083 83
DEAL::0.58 0.25 81
-DEAL::0.58 0.50 102
+DEAL::0.58 0.42 106
+DEAL::0.67 0.0 80
DEAL::0.67 0.17 86
-DEAL::0.67 0.083 84
-DEAL::0.67 0.25 82
-DEAL::0.67 0.42 107
-DEAL::0.67 0.67 24
+DEAL::0.67 0.33 105
+DEAL::0.67 0.50 103
+DEAL::0.67 0.83 26
DEAL::0.75 0.0 75
DEAL::0.75 0.17 78
DEAL::0.75 0.33 100
DEAL::0.75 0.50 99
-DEAL::0.83 0.42 114
-DEAL::0.83 0.83 27
-DEAL::0.83 0.0 91
+DEAL::0.83 0.083 95
DEAL::0.83 0.25 93
-DEAL::0.83 0.50 110
-DEAL::0.92 0.0 92
+DEAL::0.83 0.42 114
+DEAL::0.83 0.67 25
+DEAL::0.83 1.0 23
+DEAL::0.92 0.083 96
DEAL::0.92 0.25 94
-DEAL::0.92 0.50 111
-DEAL::0.92 0.33 113
-DEAL::1.0 0.083 89
-DEAL::1.0 0.25 88
-DEAL::1.0 0.42 109
-DEAL::1.0 0.67 18
-DEAL::1.0 1.0 17
+DEAL::0.92 0.42 115
+DEAL::1.0 0.0 87
+DEAL::1.0 0.17 90
+DEAL::1.0 0.33 108
+DEAL::1.0 0.50 16
+DEAL::1.0 0.83 19
DEAL::
DEAL::Checking Q3 in 3d:
DEAL::0.0 0.0 0.0 280
DEAL::0.0 0.0 0.33 485
DEAL::0.0 0.0 0.50 112
DEAL::0.0 0.0 0.83 133
-DEAL::0.0 0.083 0.17 314
DEAL::0.0 0.083 0.0 288
-DEAL::0.0 0.083 0.25 296
+DEAL::0.0 0.083 0.17 314
+DEAL::0.0 0.083 0.33 493
DEAL::0.0 0.083 0.50 477
-DEAL::0.0 0.17 0.42 496
DEAL::0.0 0.17 0.083 313
-DEAL::0.0 0.17 0.33 494
-DEAL::0.0 0.17 0.83 142
+DEAL::0.0 0.17 0.25 297
+DEAL::0.0 0.17 0.42 496
DEAL::0.0 0.17 0.67 140
-DEAL::0.0 0.25 0.0 282
-DEAL::0.0 0.25 0.17 309
-DEAL::0.0 0.25 0.33 489
-DEAL::0.0 0.25 0.50 475
+DEAL::0.0 0.17 1.0 124
+DEAL::0.0 0.25 0.083 308
+DEAL::0.0 0.25 0.25 286
+DEAL::0.0 0.25 0.42 490
+DEAL::0.0 0.33 0.0 395
DEAL::0.0 0.33 0.17 413
-DEAL::0.0 0.33 0.50 119
-DEAL::0.0 0.33 1.0 125
-DEAL::0.0 0.33 0.083 411
DEAL::0.0 0.33 0.33 567
+DEAL::0.0 0.33 0.50 557
+DEAL::0.0 0.33 0.83 143
DEAL::0.0 0.42 0.0 396
DEAL::0.0 0.42 0.17 414
DEAL::0.0 0.42 0.33 568
DEAL::0.0 0.42 0.50 558
DEAL::0.0 0.50 0.083 407
-DEAL::0.0 0.50 0.17 24
-DEAL::0.0 0.50 0.33 25
+DEAL::0.0 0.50 0.25 393
DEAL::0.0 0.50 0.42 564
DEAL::0.0 0.50 0.67 136
DEAL::0.0 0.50 1.0 116
-DEAL::0.0 0.67 0.83 231
DEAL::0.0 0.67 0.17 32
-DEAL::0.0 0.67 0.67 229
+DEAL::0.0 0.67 0.50 16
+DEAL::0.0 0.67 0.83 231
DEAL::0.0 0.83 0.0 9
DEAL::0.0 0.83 0.33 35
DEAL::0.0 0.83 0.67 230
DEAL::0.0 1.0 0.17 28
DEAL::0.0 1.0 0.50 6
DEAL::0.0 1.0 0.83 226
-DEAL::0.083 0.17 0.17 342
-DEAL::0.083 0.42 0.17 437
-DEAL::0.083 0.0 0.17 321
-DEAL::0.083 0.083 0.17 340
-DEAL::0.083 0.17 0.0 330
-DEAL::0.083 0.17 0.50 511
-DEAL::0.083 0.17 0.33 515
-DEAL::0.083 0.25 0.42 506
-DEAL::0.083 0.33 0.42 587
-DEAL::0.083 0.42 0.083 433
-DEAL::0.083 0.42 0.33 585
-DEAL::0.083 0.50 0.17 420
DEAL::0.083 0.0 0.0 292
-DEAL::0.083 0.0 0.25 300
+DEAL::0.083 0.0 0.17 321
+DEAL::0.083 0.0 0.33 501
DEAL::0.083 0.0 0.50 481
-DEAL::0.083 0.083 0.0 328
DEAL::0.083 0.083 0.083 336
-DEAL::0.083 0.25 0.0 294
+DEAL::0.083 0.083 0.25 332
+DEAL::0.083 0.083 0.42 517
+DEAL::0.083 0.17 0.0 330
+DEAL::0.083 0.17 0.17 342
+DEAL::0.083 0.17 0.33 515
+DEAL::0.083 0.17 0.50 511
+DEAL::0.083 0.25 0.083 324
DEAL::0.083 0.25 0.25 302
-DEAL::0.083 0.25 0.50 483
-DEAL::0.083 0.33 0.083 431
+DEAL::0.083 0.25 0.42 506
+DEAL::0.083 0.33 0.0 423
+DEAL::0.083 0.33 0.17 435
DEAL::0.083 0.33 0.33 583
+DEAL::0.083 0.33 0.50 579
+DEAL::0.083 0.42 0.083 433
+DEAL::0.083 0.42 0.25 429
+DEAL::0.083 0.42 0.42 589
DEAL::0.083 0.50 0.0 399
-DEAL::0.083 0.50 0.25 405
+DEAL::0.083 0.50 0.17 420
+DEAL::0.083 0.50 0.33 575
DEAL::0.083 0.50 0.50 561
+DEAL::0.17 0.0 0.083 322
+DEAL::0.17 0.0 0.25 301
DEAL::0.17 0.0 0.42 504
+DEAL::0.17 0.0 0.67 148
+DEAL::0.17 0.0 1.0 128
+DEAL::0.17 0.083 0.083 337
+DEAL::0.17 0.083 0.25 333
DEAL::0.17 0.083 0.42 518
+DEAL::0.17 0.17 0.0 331
DEAL::0.17 0.17 0.17 343
+DEAL::0.17 0.17 0.33 516
DEAL::0.17 0.17 0.50 512
-DEAL::0.17 0.25 0.17 327
-DEAL::0.17 0.33 0.17 436
-DEAL::0.17 0.33 0.83 170
-DEAL::0.17 0.42 0.42 590
-DEAL::0.17 0.42 0.25 430
-DEAL::0.17 0.50 0.17 422
-DEAL::0.17 0.83 0.33 62
-DEAL::0.17 0.0 0.0 293
-DEAL::0.17 0.0 0.25 301
-DEAL::0.17 0.0 0.50 482
-DEAL::0.17 0.083 0.083 337
-DEAL::0.17 0.17 0.083 339
DEAL::0.17 0.17 0.83 168
-DEAL::0.17 0.25 0.083 326
+DEAL::0.17 0.25 0.0 295
+DEAL::0.17 0.25 0.17 327
DEAL::0.17 0.25 0.33 507
+DEAL::0.17 0.25 0.50 484
DEAL::0.17 0.33 0.083 432
-DEAL::0.17 0.33 0.50 158
+DEAL::0.17 0.33 0.25 428
+DEAL::0.17 0.33 0.42 588
DEAL::0.17 0.33 0.67 166
-DEAL::0.17 0.42 0.33 586
-DEAL::0.17 0.50 0.083 421
+DEAL::0.17 0.33 1.0 162
+DEAL::0.17 0.42 0.083 434
+DEAL::0.17 0.42 0.25 430
+DEAL::0.17 0.42 0.42 590
+DEAL::0.17 0.50 0.0 400
+DEAL::0.17 0.50 0.17 422
DEAL::0.17 0.50 0.33 577
+DEAL::0.17 0.50 0.50 562
DEAL::0.17 0.50 0.83 153
-DEAL::0.17 0.67 0.83 249
-DEAL::0.17 0.83 0.17 58
-DEAL::0.17 0.83 0.67 247
-DEAL::0.17 1.0 0.33 45
-DEAL::0.17 0.0 0.50 122
-DEAL::0.17 0.0 1.0 128
-DEAL::0.17 0.083 0.50 510
-DEAL::0.17 0.17 0.50 156
-DEAL::0.17 0.17 0.67 164
-DEAL::0.17 0.33 0.25 428
-DEAL::0.17 0.50 0.0 12
-DEAL::0.17 0.50 0.50 20
-DEAL::0.17 0.50 1.0 130
-DEAL::0.17 0.67 0.17 56
+DEAL::0.17 0.67 0.0 48
+DEAL::0.17 0.67 0.33 60
DEAL::0.17 0.67 0.67 245
+DEAL::0.17 0.67 1.0 241
+DEAL::0.17 0.83 0.17 58
+DEAL::0.17 0.83 0.50 54
+DEAL::0.17 0.83 0.83 251
DEAL::0.17 1.0 0.0 14
-DEAL::0.17 1.0 0.50 22
+DEAL::0.17 1.0 0.33 45
+DEAL::0.17 1.0 0.67 237
DEAL::0.17 1.0 1.0 223
-DEAL::0.25 0.17 0.17 319
-DEAL::0.25 0.0 0.0 281
-DEAL::0.25 0.0 0.17 307
-DEAL::0.25 0.0 0.33 487
-DEAL::0.25 0.0 0.50 474
-DEAL::0.25 0.083 0.42 499
+DEAL::0.25 0.0 0.083 306
+DEAL::0.25 0.0 0.25 285
+DEAL::0.25 0.0 0.42 488
+DEAL::0.25 0.083 0.0 290
DEAL::0.25 0.083 0.17 318
+DEAL::0.25 0.083 0.33 497
DEAL::0.25 0.083 0.50 479
-DEAL::0.25 0.17 0.0 291
-DEAL::0.25 0.17 0.50 480
-DEAL::0.25 0.17 0.33 498
-DEAL::0.25 0.25 0.083 310
-DEAL::0.25 0.25 0.42 492
-DEAL::0.25 0.25 0.25 287
-DEAL::0.25 0.33 0.17 417
+DEAL::0.25 0.17 0.083 317
+DEAL::0.25 0.17 0.25 299
+DEAL::0.25 0.17 0.42 500
+DEAL::0.25 0.25 0.0 283
+DEAL::0.25 0.25 0.17 311
+DEAL::0.25 0.25 0.33 491
+DEAL::0.25 0.25 0.50 476
DEAL::0.25 0.33 0.083 415
-DEAL::0.25 0.33 0.33 571
-DEAL::0.25 0.33 0.50 559
-DEAL::0.25 0.42 0.083 416
-DEAL::0.25 0.42 0.50 560
+DEAL::0.25 0.33 0.25 403
+DEAL::0.25 0.33 0.42 573
+DEAL::0.25 0.42 0.0 398
+DEAL::0.25 0.42 0.17 418
DEAL::0.25 0.42 0.33 572
+DEAL::0.25 0.42 0.50 560
DEAL::0.25 0.50 0.083 409
DEAL::0.25 0.50 0.25 394
DEAL::0.25 0.50 0.42 566
+DEAL::0.33 0.0 0.0 350
+DEAL::0.33 0.0 0.17 369
+DEAL::0.33 0.0 0.33 536
+DEAL::0.33 0.0 0.50 524
DEAL::0.33 0.0 0.83 151
-DEAL::0.33 0.17 0.17 390
-DEAL::0.33 0.33 0.83 171
-DEAL::0.33 0.33 0.50 159
-DEAL::0.33 0.50 0.33 43
-DEAL::0.33 0.67 0.33 61
-DEAL::0.33 0.83 0.33 63
-DEAL::0.33 0.83 0.0 51
-DEAL::0.33 0.83 1.0 244
-DEAL::0.33 1.0 0.83 240
-DEAL::0.33 0.0 0.42 537
-DEAL::0.33 0.0 0.67 150
+DEAL::0.33 0.083 0.0 376
DEAL::0.33 0.083 0.17 388
-DEAL::0.33 0.17 0.0 378
-DEAL::0.33 0.17 0.083 386
-DEAL::0.33 0.17 0.33 550
-DEAL::0.33 0.25 0.17 373
-DEAL::0.33 0.33 0.67 167
-DEAL::0.33 0.42 0.083 468
-DEAL::0.33 0.50 0.17 455
-DEAL::0.33 0.50 0.67 154
-DEAL::0.33 0.67 0.17 57
-DEAL::0.33 0.83 0.17 59
-DEAL::0.33 1.0 0.0 15
-DEAL::0.33 1.0 0.50 23
-DEAL::0.33 1.0 1.0 224
-DEAL::0.33 0.0 0.083 368
-DEAL::0.33 0.0 0.33 536
-DEAL::0.33 0.083 0.50 544
-DEAL::0.33 0.083 0.25 380
DEAL::0.33 0.083 0.33 548
-DEAL::0.33 0.17 0.50 157
+DEAL::0.33 0.083 0.50 544
+DEAL::0.33 0.17 0.083 386
+DEAL::0.33 0.17 0.25 382
+DEAL::0.33 0.17 0.42 554
+DEAL::0.33 0.17 0.67 165
+DEAL::0.33 0.17 1.0 161
DEAL::0.33 0.25 0.083 372
DEAL::0.33 0.25 0.25 358
DEAL::0.33 0.25 0.42 541
-DEAL::0.33 0.33 0.083 466
-DEAL::0.33 0.33 0.42 613
+DEAL::0.33 0.33 0.0 458
+DEAL::0.33 0.33 0.17 470
+DEAL::0.33 0.33 0.33 609
DEAL::0.33 0.33 0.50 605
-DEAL::0.33 0.42 0.42 615
+DEAL::0.33 0.33 0.83 171
+DEAL::0.33 0.42 0.0 460
+DEAL::0.33 0.42 0.17 472
+DEAL::0.33 0.42 0.33 611
DEAL::0.33 0.42 0.50 607
DEAL::0.33 0.50 0.083 454
-DEAL::0.33 0.50 0.33 601
+DEAL::0.33 0.50 0.25 446
DEAL::0.33 0.50 0.42 602
+DEAL::0.33 0.50 0.67 154
+DEAL::0.33 0.50 1.0 131
+DEAL::0.33 0.67 0.17 57
DEAL::0.33 0.67 0.50 53
-DEAL::0.42 0.17 0.17 391
-DEAL::0.42 0.42 0.17 473
-DEAL::0.42 0.0 0.083 370
-DEAL::0.42 0.0 0.25 357
-DEAL::0.42 0.0 0.42 539
+DEAL::0.33 0.67 0.83 250
+DEAL::0.33 0.83 0.0 51
+DEAL::0.33 0.83 0.33 63
+DEAL::0.33 0.83 0.67 248
+DEAL::0.33 0.83 1.0 244
+DEAL::0.33 1.0 0.17 46
+DEAL::0.33 1.0 0.50 23
+DEAL::0.33 1.0 0.83 240
+DEAL::0.42 0.0 0.0 351
+DEAL::0.42 0.0 0.17 371
+DEAL::0.42 0.0 0.33 538
+DEAL::0.42 0.0 0.50 525
DEAL::0.42 0.083 0.083 385
-DEAL::0.42 0.083 0.33 549
+DEAL::0.42 0.083 0.25 381
+DEAL::0.42 0.083 0.42 553
DEAL::0.42 0.17 0.0 379
-DEAL::0.42 0.17 0.083 387
+DEAL::0.42 0.17 0.17 391
+DEAL::0.42 0.17 0.33 551
DEAL::0.42 0.17 0.50 547
-DEAL::0.42 0.25 0.0 353
+DEAL::0.42 0.25 0.083 374
DEAL::0.42 0.25 0.25 359
-DEAL::0.42 0.25 0.50 527
-DEAL::0.42 0.33 0.083 467
-DEAL::0.42 0.42 0.0 461
-DEAL::0.42 0.42 0.42 616
-DEAL::0.42 0.42 0.33 612
-DEAL::0.42 0.50 0.17 457
-DEAL::0.42 0.50 0.083 456
-DEAL::0.42 0.50 0.42 604
-DEAL::0.42 0.083 0.0 377
-DEAL::0.42 0.083 0.50 545
+DEAL::0.42 0.25 0.42 543
DEAL::0.42 0.33 0.0 459
-DEAL::0.42 0.33 0.50 606
+DEAL::0.42 0.33 0.17 471
DEAL::0.42 0.33 0.33 610
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-DEAL::0.50 0.42 0.17 453
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DEAL::0.50 0.67 1.0 221
DEAL::0.50 0.83 0.17 37
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DEAL::0.50 1.0 0.0 3
DEAL::0.50 1.0 0.33 31
DEAL::0.50 1.0 0.67 227
DEAL::0.50 1.0 1.0 218
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DEAL::0.58 0.0 0.083 641
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DEAL::0.58 0.083 0.17 661
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DEAL::0.58 0.083 0.33 812
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DEAL::0.58 0.33 0.42 878
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DEAL::0.58 0.42 0.33 876
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DEAL::0.67 0.0 0.0 624
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DEAL::0.67 0.0 0.50 789
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DEAL::0.67 0.083 0.0 650
DEAL::0.67 0.083 0.17 662
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-DEAL::0.67 0.25 0.0 626
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-DEAL::0.67 0.50 0.0 718
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-DEAL::0.67 0.83 0.0 98
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-DEAL::0.67 0.083 0.083 658
-DEAL::0.67 0.17 0.50 201
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DEAL::0.67 0.17 0.67 209
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DEAL::0.67 0.25 0.42 807
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-DEAL::0.67 0.33 0.25 738
-DEAL::0.67 0.33 0.42 879
-DEAL::0.67 0.42 0.25 740
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-DEAL::0.67 0.50 0.0 70
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DEAL::0.67 0.50 0.25 722
DEAL::0.67 0.50 0.42 869
DEAL::0.67 0.50 0.67 197
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DEAL::0.67 0.67 0.50 100
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DEAL::0.67 1.0 0.17 92
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DEAL::0.75 0.0 0.0 617
DEAL::0.75 0.0 0.17 634
DEAL::0.75 0.0 0.33 792
DEAL::0.75 0.0 0.50 784
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DEAL::0.75 0.083 0.42 798
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DEAL::0.75 0.17 0.0 622
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DEAL::0.75 0.17 0.33 797
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DEAL::0.75 0.33 0.0 715
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DEAL::0.75 0.33 0.50 856
DEAL::0.75 0.42 0.083 726
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DEAL::0.75 0.50 0.0 713
DEAL::0.75 0.50 0.17 724
DEAL::0.75 0.50 0.33 860
DEAL::0.75 0.50 0.50 855
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DEAL::0.83 0.083 0.083 705
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DEAL::0.83 0.17 0.0 699
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DEAL::0.83 0.17 0.83 214
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DEAL::0.83 0.25 0.0 673
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DEAL::0.83 0.25 0.50 825
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DEAL::0.83 0.33 0.25 772
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DEAL::0.83 0.50 0.0 752
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DEAL::0.83 0.50 0.50 884
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DEAL::0.92 0.083 0.33 848
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DEAL::0.92 0.17 0.25 704
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DEAL::0.92 0.25 0.17 696
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DEAL::0.92 0.25 0.50 826
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DEAL::1.0 0.0 0.0 665
DEAL::1.0 0.0 0.17 682
DEAL::1.0 0.0 0.33 827
DEAL::1.0 0.0 0.50 172
DEAL::1.0 0.0 0.83 186
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DEAL::1.0 0.083 0.0 669
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DEAL::1.0 0.083 0.50 821
DEAL::1.0 0.17 0.083 686
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DEAL::1.0 0.17 0.67 189
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DEAL::1.0 0.33 0.0 750
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DEAL::1.0 0.33 0.50 882
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DEAL::1.0 0.42 0.33 889
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DEAL::1.0 0.50 0.25 749
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DEAL::1.0 0.67 0.50 74
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DEAL::1.0 0.83 0.67 261
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DEAL::
DEAL::Checking DGQ0 in 1d:
DEAL::0.12 0
DEAL::0.25 0.75 0.75 4
DEAL::0.38 0.13 0.38 11
DEAL::0.38 0.38 0.38 13
-DEAL::0.63 0.13 0.13 14
-DEAL::0.63 0.38 0.13 16
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DEAL::0.75 0.75 0.25 1
DEAL::0.87 0.13 0.13 15
DEAL::0.87 0.38 0.13 17
DEAL::0.0 1.0 0.50 34
DEAL::0.25 0.0 0.0 56
DEAL::0.25 0.0 0.50 92
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DEAL::0.25 0.50 0.0 74
DEAL::0.25 0.50 0.50 110
DEAL::0.50 0.0 0.25 144
DEAL::0.50 0.0 1.0 28
DEAL::0.50 0.25 0.25 160
DEAL::0.50 0.50 0.0 130
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DEAL::0.50 1.0 0.0 10
DEAL::0.50 1.0 1.0 46
DEAL::0.75 0.0 0.25 152
DEAL::0.75 0.25 0.0 136
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DEAL::0.75 0.50 0.25 170
DEAL::1.0 0.0 0.0 121
DEAL::1.0 0.0 0.50 157
DEAL::0.0 0.33 68
DEAL::0.0 0.50 76
DEAL::0.0 0.83 8
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DEAL::0.083 0.0 33
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DEAL::0.083 0.50 77
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DEAL::0.17 0.25 66
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DEAL::0.17 0.67 5
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DEAL::0.33 0.33 85
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DEAL::0.42 0.0 50
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DEAL::0.42 0.33 86
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DEAL::0.50 0.083 100
DEAL::0.50 0.25 128
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DEAL::0.50 0.67 20
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DEAL::0.58 0.25 129
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DEAL::0.67 0.33 134
DEAL::0.67 0.50 142
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DEAL::0.83 0.083 117
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DEAL::0.83 0.67 22
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+DEAL::0.67 0.42 0.0 1034
+DEAL::0.67 0.42 0.17 1066
+DEAL::0.67 0.42 0.33 1306
+DEAL::0.67 0.42 0.50 1338
+DEAL::0.67 0.50 0.083 1054
DEAL::0.67 0.50 0.25 1294
DEAL::0.67 0.50 0.42 1326
DEAL::0.67 0.50 0.67 337
-DEAL::0.67 0.67 0.0 69
+DEAL::0.67 0.50 1.0 369
+DEAL::0.67 0.67 0.17 85
DEAL::0.67 0.67 0.50 325
-DEAL::0.67 0.67 1.0 373
+DEAL::0.67 0.67 0.83 357
+DEAL::0.67 0.83 0.0 73
+DEAL::0.67 0.83 0.33 105
+DEAL::0.67 0.83 0.67 345
+DEAL::0.67 0.83 1.0 377
DEAL::0.67 1.0 0.17 93
-DEAL::0.67 1.0 0.67 349
-DEAL::0.75 0.17 0.42 1256
-DEAL::0.75 0.42 0.17 1128
+DEAL::0.67 1.0 0.50 333
+DEAL::0.67 1.0 0.83 365
DEAL::0.75 0.0 0.0 960
DEAL::0.75 0.0 0.17 992
DEAL::0.75 0.0 0.33 1232
DEAL::0.75 0.0 0.50 1264
+DEAL::0.75 0.083 0.083 980
+DEAL::0.75 0.083 0.25 1220
DEAL::0.75 0.083 0.42 1252
-DEAL::0.75 0.083 0.17 996
-DEAL::0.75 0.083 0.50 1268
DEAL::0.75 0.17 0.0 968
-DEAL::0.75 0.17 0.50 1272
+DEAL::0.75 0.17 0.17 1000
DEAL::0.75 0.17 0.33 1240
-DEAL::0.75 0.25 0.0 1088
-DEAL::0.75 0.25 0.17 1120
-DEAL::0.75 0.25 0.42 1315
+DEAL::0.75 0.17 0.50 1272
+DEAL::0.75 0.25 0.083 1104
DEAL::0.75 0.25 0.25 1344
-DEAL::0.75 0.33 0.17 1124
+DEAL::0.75 0.25 0.42 1376
DEAL::0.75 0.33 0.0 1092
-DEAL::0.75 0.33 0.25 1348
+DEAL::0.75 0.33 0.17 1124
DEAL::0.75 0.33 0.33 1364
DEAL::0.75 0.33 0.50 1396
DEAL::0.75 0.42 0.083 1112
-DEAL::0.75 0.42 0.33 1368
-DEAL::0.75 0.42 0.50 1400
-DEAL::0.75 0.42 0.33 1307
-DEAL::0.75 0.50 0.083 1116
-DEAL::0.75 0.50 0.25 1356
-DEAL::0.75 0.50 0.42 1388
-DEAL::0.75 0.33 0.33 1303
-DEAL::0.83 0.17 0.17 1001
-DEAL::0.83 0.42 0.42 1385
-DEAL::0.83 0.083 0.42 1253
-DEAL::0.83 0.17 0.33 1241
-DEAL::0.83 0.33 0.17 1125
-DEAL::0.83 0.42 0.083 1113
-DEAL::0.83 0.83 0.33 106
-DEAL::0.83 0.0 0.17 993
-DEAL::0.83 0.0 0.50 194
-DEAL::0.83 0.0 0.83 226
+DEAL::0.75 0.42 0.25 1352
+DEAL::0.75 0.42 0.42 1384
+DEAL::0.75 0.50 0.0 1100
+DEAL::0.75 0.50 0.17 1132
+DEAL::0.75 0.50 0.33 1372
+DEAL::0.75 0.50 0.50 1404
+DEAL::0.83 0.0 0.083 977
+DEAL::0.83 0.0 0.25 1217
+DEAL::0.83 0.0 0.42 1249
+DEAL::0.83 0.0 0.67 210
+DEAL::0.83 0.0 1.0 242
DEAL::0.83 0.083 0.083 981
+DEAL::0.83 0.083 0.25 1221
+DEAL::0.83 0.083 0.42 1253
DEAL::0.83 0.17 0.0 969
-DEAL::0.83 0.17 0.25 1225
+DEAL::0.83 0.17 0.17 1001
+DEAL::0.83 0.17 0.33 1241
+DEAL::0.83 0.17 0.50 1273
DEAL::0.83 0.17 0.83 230
-DEAL::0.83 0.25 0.42 1377
-DEAL::0.83 0.33 1.0 250
-DEAL::0.83 0.33 0.083 1109
-DEAL::0.83 0.42 0.0 1097
-DEAL::0.83 0.42 0.50 1401
-DEAL::0.83 0.50 0.50 322
-DEAL::0.83 0.50 0.0 66
-DEAL::0.83 0.50 0.17 1133
-DEAL::0.83 0.50 0.67 338
-DEAL::0.83 0.67 0.33 102
-DEAL::0.83 0.67 0.17 86
-DEAL::0.83 0.83 0.0 74
-DEAL::0.83 0.83 0.50 330
-DEAL::0.83 0.83 1.0 378
-DEAL::0.83 1.0 0.83 366
-DEAL::0.83 1.0 0.17 94
-DEAL::0.83 1.0 0.67 350
-DEAL::0.83 0.0 0.0 961
-DEAL::0.83 0.0 0.25 1217
-DEAL::0.83 0.0 0.50 1265
-DEAL::0.83 0.083 0.25 1221
-DEAL::0.83 0.17 0.50 198
DEAL::0.83 0.25 0.0 1089
-DEAL::0.83 0.25 0.25 1345
+DEAL::0.83 0.25 0.17 1121
+DEAL::0.83 0.25 0.33 1361
DEAL::0.83 0.25 0.50 1393
+DEAL::0.83 0.33 0.083 1109
DEAL::0.83 0.33 0.25 1349
+DEAL::0.83 0.33 0.42 1381
+DEAL::0.83 0.33 0.67 218
+DEAL::0.83 0.33 1.0 250
+DEAL::0.83 0.42 0.083 1113
+DEAL::0.83 0.42 0.25 1353
+DEAL::0.83 0.42 0.42 1385
DEAL::0.83 0.50 0.0 1101
-DEAL::0.83 0.50 0.25 1357
+DEAL::0.83 0.50 0.17 1133
+DEAL::0.83 0.50 0.33 1373
DEAL::0.83 0.50 0.50 1405
-DEAL::0.83 0.67 0.50 326
-DEAL::0.92 0.17 0.17 1002
-DEAL::0.92 0.42 0.17 1130
-DEAL::0.92 0.083 0.17 998
-DEAL::0.92 0.17 0.083 986
-DEAL::0.92 0.33 0.17 1126
-DEAL::0.92 0.42 0.083 1114
-DEAL::0.92 0.0 0.0 962
+DEAL::0.83 0.50 0.83 354
+DEAL::0.83 0.67 0.0 70
+DEAL::0.83 0.67 0.33 102
+DEAL::0.83 0.67 0.67 342
+DEAL::0.83 0.67 1.0 374
+DEAL::0.83 0.83 0.17 90
+DEAL::0.83 0.83 0.50 330
+DEAL::0.83 0.83 0.83 362
+DEAL::0.83 1.0 0.0 78
+DEAL::0.83 1.0 0.33 110
+DEAL::0.83 1.0 0.67 350
+DEAL::0.83 1.0 1.0 382
+DEAL::0.92 0.0 0.083 978
DEAL::0.92 0.0 0.25 1218
-DEAL::0.92 0.0 0.50 1266
+DEAL::0.92 0.0 0.42 1250
+DEAL::0.92 0.083 0.0 966
+DEAL::0.92 0.083 0.17 998
DEAL::0.92 0.083 0.33 1238
+DEAL::0.92 0.083 0.50 1270
+DEAL::0.92 0.17 0.083 986
DEAL::0.92 0.17 0.25 1226
+DEAL::0.92 0.17 0.42 1258
+DEAL::0.92 0.25 0.0 1090
DEAL::0.92 0.25 0.17 1122
-DEAL::0.92 0.25 0.42 1378
+DEAL::0.92 0.25 0.33 1362
DEAL::0.92 0.25 0.50 1394
-DEAL::0.92 0.33 0.33 1366
-DEAL::0.92 0.42 0.25 1354
-DEAL::0.92 0.50 0.17 1134
-DEAL::0.92 0.50 0.0 1102
-DEAL::0.92 0.50 0.50 1406
-DEAL::0.92 0.0 0.33 1234
-DEAL::0.92 0.083 0.25 1222
-DEAL::0.92 0.25 0.083 1106
-DEAL::0.92 0.33 0.0 1094
-DEAL::0.92 0.33 0.50 1398
-DEAL::0.92 0.50 0.33 1374
-DEAL::1.0 0.17 0.42 1259
-DEAL::1.0 0.42 0.17 1131
-DEAL::1.0 0.83 0.33 107
+DEAL::0.92 0.33 0.083 1110
+DEAL::0.92 0.33 0.25 1350
+DEAL::0.92 0.33 0.42 1382
+DEAL::0.92 0.42 0.0 1098
+DEAL::0.92 0.42 0.17 1130
+DEAL::0.92 0.42 0.33 1370
+DEAL::0.92 0.42 0.50 1402
+DEAL::0.92 0.50 0.083 1118
+DEAL::0.92 0.50 0.25 1358
+DEAL::0.92 0.50 0.42 1390
DEAL::1.0 0.0 0.0 963
DEAL::1.0 0.0 0.17 995
DEAL::1.0 0.0 0.33 1235
DEAL::1.0 0.0 0.50 1267
DEAL::1.0 0.0 0.83 227
-DEAL::1.0 0.083 0.17 999
DEAL::1.0 0.083 0.0 967
-DEAL::1.0 0.083 0.25 1223
+DEAL::1.0 0.083 0.17 999
+DEAL::1.0 0.083 0.33 1239
DEAL::1.0 0.083 0.50 1271
DEAL::1.0 0.17 0.083 987
-DEAL::1.0 0.17 0.33 1243
-DEAL::1.0 0.17 0.83 231
+DEAL::1.0 0.17 0.25 1227
+DEAL::1.0 0.17 0.42 1259
DEAL::1.0 0.17 0.67 215
-DEAL::1.0 0.25 0.0 1091
-DEAL::1.0 0.25 0.17 1123
-DEAL::1.0 0.25 0.33 1363
-DEAL::1.0 0.25 0.50 1395
-DEAL::1.0 0.33 0.42 1383
-DEAL::1.0 0.33 0.67 219
+DEAL::1.0 0.17 1.0 247
+DEAL::1.0 0.25 0.083 1107
+DEAL::1.0 0.25 0.25 1347
+DEAL::1.0 0.25 0.42 1379
DEAL::1.0 0.33 0.0 1095
-DEAL::1.0 0.33 0.25 1351
+DEAL::1.0 0.33 0.17 1127
+DEAL::1.0 0.33 0.33 1367
DEAL::1.0 0.33 0.50 1399
-DEAL::1.0 0.42 0.083 1115
+DEAL::1.0 0.33 0.83 235
+DEAL::1.0 0.42 0.0 1099
+DEAL::1.0 0.42 0.17 1131
DEAL::1.0 0.42 0.33 1371
-DEAL::1.0 0.50 0.0 1103
-DEAL::1.0 0.50 0.17 1135
+DEAL::1.0 0.42 0.50 1403
+DEAL::1.0 0.50 0.083 1119
DEAL::1.0 0.50 0.25 1359
-DEAL::1.0 0.50 0.33 1375
-DEAL::1.0 0.50 0.50 1407
-DEAL::1.0 0.50 0.83 355
-DEAL::1.0 0.67 0.33 103
-DEAL::1.0 0.67 0.0 71
+DEAL::1.0 0.50 0.42 1391
+DEAL::1.0 0.50 0.67 339
+DEAL::1.0 0.50 1.0 371
+DEAL::1.0 0.67 0.17 87
DEAL::1.0 0.67 0.50 327
-DEAL::1.0 0.67 1.0 375
-DEAL::1.0 0.83 0.17 91
+DEAL::1.0 0.67 0.83 359
+DEAL::1.0 0.83 0.0 75
+DEAL::1.0 0.83 0.33 107
DEAL::1.0 0.83 0.67 347
-DEAL::1.0 1.0 0.0 79
-DEAL::1.0 1.0 0.33 111
-DEAL::1.0 1.0 0.67 351
-DEAL::1.0 1.0 1.0 383
+DEAL::1.0 0.83 1.0 379
+DEAL::1.0 1.0 0.17 95
+DEAL::1.0 1.0 0.50 335
+DEAL::1.0 1.0 0.83 367
DEAL::
DEAL::Checking DGP0 in 1d:
DEAL::Checking DGP0 in 2d:
DEAL::0.0 1.0 0.50 20
DEAL::0.25 0.0 0.0 77
DEAL::0.25 0.0 0.50 122
-DEAL::0.25 0.25 0.50 128
+DEAL::0.25 0.25 0.25 95
DEAL::0.25 0.50 0.0 110
DEAL::0.25 0.50 0.50 134
DEAL::0.50 0.0 0.25 104
DEAL::0.50 0.0 1.0 47
DEAL::0.50 0.25 0.25 107
DEAL::0.50 0.50 0.0 5
-DEAL::0.50 0.50 1.0 53
+DEAL::0.50 0.50 0.50 17
DEAL::0.50 1.0 0.0 11
DEAL::0.50 1.0 1.0 68
DEAL::0.75 0.0 0.25 143
DEAL::0.75 0.25 0.0 140
-DEAL::0.75 0.25 0.25 146
+DEAL::0.75 0.25 0.50 173
DEAL::0.75 0.50 0.25 164
DEAL::1.0 0.0 0.0 149
DEAL::1.0 0.0 0.50 56
DEAL::0.12 0.0 0.12 361
DEAL::0.12 0.0 0.38 577
DEAL::0.12 0.12 0.0 355
+DEAL::0.12 0.12 0.25 571
DEAL::0.12 0.12 0.50 589
-DEAL::0.12 0.13 0.38 580
DEAL::0.12 0.25 0.12 469
DEAL::0.12 0.25 0.38 685
DEAL::0.12 0.38 0.0 463
DEAL::0.25 0.0 0.50 639
DEAL::0.25 0.0 1.0 154
DEAL::0.25 0.12 0.12 417
-DEAL::0.25 0.12 0.50 642
+DEAL::0.25 0.12 0.38 633
DEAL::0.25 0.25 0.0 513
-DEAL::0.25 0.25 0.38 738
+DEAL::0.25 0.25 0.25 729
+DEAL::0.25 0.25 0.50 747
DEAL::0.25 0.25 1.0 157
-DEAL::0.25 0.25 0.75 148
DEAL::0.25 0.38 0.12 525
DEAL::0.25 0.38 0.38 741
DEAL::0.25 0.50 0.0 519
DEAL::0.38 0.0 0.12 415
DEAL::0.38 0.0 0.38 631
DEAL::0.38 0.12 0.0 409
+DEAL::0.38 0.12 0.25 625
DEAL::0.38 0.12 0.50 643
-DEAL::0.38 0.13 0.38 634
DEAL::0.38 0.25 0.12 523
DEAL::0.38 0.25 0.38 739
DEAL::0.38 0.38 0.0 517
DEAL::0.50 0.12 0.38 1011
DEAL::0.50 0.25 0.0 891
DEAL::0.50 0.25 0.25 1107
-DEAL::0.50 0.25 0.75 201
DEAL::0.50 0.25 0.50 1125
+DEAL::0.50 0.25 1.0 210
DEAL::0.50 0.38 0.12 903
DEAL::0.50 0.38 0.38 1119
DEAL::0.50 0.50 0.0 897
DEAL::0.50 0.50 0.25 1113
-DEAL::0.50 0.50 0.75 306
DEAL::0.50 0.50 0.50 1131
+DEAL::0.50 0.50 1.0 315
DEAL::0.50 0.75 0.25 93
DEAL::0.50 0.75 0.75 309
DEAL::0.50 1.0 0.0 87
DEAL::0.62 0.0 0.12 793
DEAL::0.62 0.0 0.38 1009
DEAL::0.62 0.12 0.0 787
+DEAL::0.62 0.12 0.25 1003
DEAL::0.62 0.12 0.50 1021
DEAL::0.62 0.25 0.12 901
DEAL::0.62 0.25 0.38 1117
DEAL::0.62 0.38 0.0 895
-DEAL::0.62 0.38 0.38 1120
-DEAL::0.62 0.50 0.0 898
-DEAL::0.62 0.50 0.25 1114
-DEAL::0.62 0.50 0.50 1132
-DEAL::0.63 0.13 0.38 1012
+DEAL::0.62 0.38 0.25 1111
+DEAL::0.62 0.38 0.50 1129
+DEAL::0.62 0.50 0.12 907
+DEAL::0.62 0.50 0.38 1123
DEAL::0.75 0.0 0.0 837
DEAL::0.75 0.0 0.25 1053
DEAL::0.75 0.0 0.50 1071
DEAL::0.75 0.0 1.0 208
DEAL::0.75 0.12 0.12 849
-DEAL::0.75 0.12 0.50 1074
+DEAL::0.75 0.12 0.38 1065
DEAL::0.75 0.25 0.0 945
-DEAL::0.75 0.25 0.38 1170
+DEAL::0.75 0.25 0.25 1161
+DEAL::0.75 0.25 0.50 1179
DEAL::0.75 0.25 1.0 211
-DEAL::0.75 0.25 0.75 202
DEAL::0.75 0.38 0.12 957
DEAL::0.75 0.38 0.38 1173
DEAL::0.75 0.50 0.0 951
DEAL::0.75 1.0 0.0 88
DEAL::0.75 1.0 0.50 304
DEAL::0.75 1.0 1.0 322
-DEAL::0.87 0.13 0.38 1066
-DEAL::0.87 0.38 0.38 1174
DEAL::0.88 0.0 0.12 847
DEAL::0.88 0.0 0.38 1063
DEAL::0.88 0.12 0.0 841
+DEAL::0.88 0.12 0.25 1057
DEAL::0.88 0.12 0.50 1075
DEAL::0.88 0.25 0.12 955
DEAL::0.88 0.25 0.38 1171
DEAL::0.88 0.38 0.0 949
+DEAL::0.88 0.38 0.25 1165
DEAL::0.88 0.38 0.50 1183
DEAL::0.88 0.50 0.12 961
DEAL::0.88 0.50 0.38 1177
DEAL::0.0 0.50 366
DEAL::0.0 0.75 66
DEAL::0.0 1.0 69
-DEAL::0.083 0.42 379
DEAL::0.083 0.083 236
-DEAL::0.083 0.33 377
+DEAL::0.083 0.25 190
+DEAL::0.083 0.42 379
DEAL::0.12 0.0 220
DEAL::0.12 0.25 361
DEAL::0.12 0.50 367
-DEAL::0.17 0.42 380
+DEAL::0.17 0.083 237
DEAL::0.17 0.25 191
-DEAL::0.17 0.83 82
-DEAL::0.17 0.33 378
+DEAL::0.17 0.42 380
DEAL::0.17 0.67 80
-DEAL::0.25 0.0 291
-DEAL::0.25 0.12 294
-DEAL::0.25 0.25 420
-DEAL::0.25 0.38 423
-DEAL::0.25 0.50 426
-DEAL::0.25 1.0 70
+DEAL::0.17 1.0 34
+DEAL::0.25 0.083 178
+DEAL::0.25 0.17 179
+DEAL::0.25 0.33 325
+DEAL::0.25 0.42 326
+DEAL::0.25 0.75 67
+DEAL::0.33 0.0 256
DEAL::0.33 0.17 310
-DEAL::0.33 1.0 35
-DEAL::0.33 0.083 308
DEAL::0.33 0.33 437
DEAL::0.33 0.50 391
+DEAL::0.33 0.83 83
DEAL::0.38 0.0 292
DEAL::0.38 0.25 421
DEAL::0.38 0.50 427
-DEAL::0.42 0.17 311
-DEAL::0.42 0.42 440
DEAL::0.42 0.083 309
+DEAL::0.42 0.25 263
+DEAL::0.42 0.42 440
DEAL::0.50 0.0 492
DEAL::0.50 0.12 495
DEAL::0.50 0.25 627
DEAL::0.50 0.50 633
DEAL::0.50 0.75 138
DEAL::0.50 1.0 141
-DEAL::0.58 0.0 457
+DEAL::0.58 0.083 509
DEAL::0.58 0.25 463
-DEAL::0.58 0.50 598
+DEAL::0.58 0.42 646
DEAL::0.62 0.0 493
DEAL::0.62 0.25 628
DEAL::0.62 0.50 634
-DEAL::0.67 0.0 458
-DEAL::0.67 0.83 154
-DEAL::0.67 0.33 645
-DEAL::0.67 0.50 599
+DEAL::0.67 0.083 510
+DEAL::0.67 0.25 464
+DEAL::0.67 0.42 647
+DEAL::0.67 0.67 152
DEAL::0.67 1.0 106
DEAL::0.75 0.083 451
DEAL::0.75 0.17 452
DEAL::0.75 0.33 592
DEAL::0.75 0.42 593
DEAL::0.75 0.75 139
+DEAL::0.83 0.0 529
DEAL::0.83 0.17 583
-DEAL::0.83 0.50 101
-DEAL::0.83 1.0 107
-DEAL::0.83 0.083 581
DEAL::0.83 0.33 704
-DEAL::0.83 0.67 153
-DEAL::0.88 0.12 568
-DEAL::0.88 0.38 691
-DEAL::0.92 0.0 530
+DEAL::0.83 0.50 658
+DEAL::0.83 0.83 155
+DEAL::0.88 0.0 565
+DEAL::0.88 0.25 688
+DEAL::0.88 0.50 694
+DEAL::0.92 0.083 582
DEAL::0.92 0.25 536
-DEAL::0.92 0.50 659
-DEAL::0.92 0.33 705
-DEAL::1.0 0.083 523
-DEAL::1.0 0.17 524
-DEAL::1.0 0.33 652
-DEAL::1.0 0.42 653
-DEAL::1.0 0.67 94
-DEAL::1.0 0.83 95
+DEAL::0.92 0.42 707
+DEAL::1.0 0.0 566
+DEAL::1.0 0.12 569
+DEAL::1.0 0.25 689
+DEAL::1.0 0.38 692
+DEAL::1.0 0.50 695
+DEAL::1.0 0.75 140
+DEAL::1.0 1.0 143
DEAL::
DEAL::Checking FE_DGP<2>(3)1FE_DGP<2>(3)1FE_Q<2>(2)3 in 2d:
DEAL::Checking FE_DGQ<3>(1)3FE_DGP<3>(3)1FE_Q<3>(1)3 in 3d:
DEAL::0.0 0.50 164
DEAL::0.0 0.75 9
DEAL::0.0 1.0 28
-DEAL::0.083 0.42 161
DEAL::0.083 0.083 93
-DEAL::0.083 0.33 157
+DEAL::0.083 0.25 153
+DEAL::0.083 0.42 161
DEAL::0.12 0.0 85
DEAL::0.12 0.25 87
DEAL::0.12 0.50 151
-DEAL::0.17 0.42 162
+DEAL::0.17 0.083 94
DEAL::0.17 0.25 154
-DEAL::0.17 0.83 25
-DEAL::0.17 0.33 158
+DEAL::0.17 0.42 162
DEAL::0.17 0.67 21
-DEAL::0.25 0.0 121
-DEAL::0.25 0.12 83
-DEAL::0.25 0.25 179
-DEAL::0.25 0.38 149
-DEAL::0.25 0.50 191
-DEAL::0.25 1.0 15
+DEAL::0.17 1.0 29
+DEAL::0.25 0.083 125
+DEAL::0.25 0.17 129
+DEAL::0.25 0.33 183
+DEAL::0.25 0.42 187
+DEAL::0.25 0.75 38
+DEAL::0.33 0.0 122
DEAL::0.33 0.17 130
-DEAL::0.33 1.0 30
-DEAL::0.33 0.083 126
DEAL::0.33 0.33 184
DEAL::0.33 0.50 192
+DEAL::0.33 0.83 26
DEAL::0.38 0.0 118
DEAL::0.38 0.25 120
DEAL::0.38 0.50 178
-DEAL::0.42 0.17 131
-DEAL::0.42 0.42 189
DEAL::0.42 0.083 127
+DEAL::0.42 0.25 181
+DEAL::0.42 0.42 189
DEAL::0.50 0.0 212
DEAL::0.50 0.12 116
DEAL::0.50 0.25 274
DEAL::0.50 0.50 286
DEAL::0.50 0.75 11
DEAL::0.50 1.0 61
-DEAL::0.58 0.0 213
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DEAL::0.58 0.25 275
-DEAL::0.58 0.50 287
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DEAL::0.62 0.0 209
DEAL::0.62 0.25 211
DEAL::0.62 0.50 273
-DEAL::0.67 0.0 214
-DEAL::0.67 0.25 226
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DEAL::0.67 0.25 276
DEAL::0.67 0.42 284
DEAL::0.67 0.67 54
-DEAL::0.75 0.0 245
-DEAL::0.75 0.12 207
-DEAL::0.75 0.25 301
-DEAL::0.75 0.38 271
-DEAL::0.75 0.50 313
-DEAL::0.75 1.0 48
-DEAL::0.83 0.42 310
-DEAL::0.83 0.83 59
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DEAL::0.83 0.0 246
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DEAL::0.83 0.50 314
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DEAL::0.88 0.0 242
DEAL::0.88 0.25 244
DEAL::0.88 0.50 300
-DEAL::0.92 0.17 255
-DEAL::0.92 0.42 311
DEAL::0.92 0.083 251
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DEAL::1.0 0.0 248
DEAL::1.0 0.12 240
DEAL::1.0 0.25 304
DEAL::2.66
DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.65685e-08 1.00000 ] 0
DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 2.34856e-08 0.0800000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 3.81711e-08 0.160000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 5.00262e-08 0.240000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 4.96716e-08 0.320000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 4.27679e-08 0.400000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 3.77733e-08 0.480000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 3.93838e-08 0.560000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 4.58814e-08 0.640000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 5.01488e-08 0.720000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 4.42919e-08 0.800000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 2.83600e-08 0.880000 ] 0
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DEAL::2.72
-DEAL::<0.00000 1.00000> <0.00000 0.823223> <0.382683 0.923880> <0.316342 0.748551> [ 2.65247e-08 0.960000 ] 0
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DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 2.66998e-08 0.0400000 ] 0
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DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 2.88843e-08 0.120000 ] 0
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DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.56048e-08 0.200000 ] 0
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DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 5.21899e-08 0.280000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 5.74673e-08 0.280000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.82665e-08 0.360000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.42359e-08 0.360000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.18907e-08 0.440000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 3.15324e-08 0.440000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.06374e-08 0.520000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 2.87645e-08 0.520000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.65634e-08 0.600000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 3.85539e-08 0.600000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 5.47787e-08 0.680000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 5.52215e-08 0.680000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 5.59718e-08 0.760000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 6.72057e-08 0.760000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.34617e-08 0.840000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 6.38246e-08 0.840000 ] 0
DEAL::2.74
-DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 2.73696e-08 0.920000 ] 0
+DEAL::<0.382683 0.923880> <0.316342 0.748551> <0.707107 0.707107> <0.603553 0.603553> [ 4.84102e-08 0.920000 ] 0
DEAL::2.53
DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 1.00000 6.82843e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.920000 2.73696e-08 ] 0
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DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.840000 4.34617e-08 ] 0
+DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.840000 6.38246e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.760000 5.59718e-08 ] 0
+DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.760000 6.72057e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.680000 5.47787e-08 ] 0
+DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.680000 5.52215e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.600000 4.65634e-08 ] 0
+DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.600000 3.85539e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.520000 4.06374e-08 ] 0
+DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.520000 2.87645e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.440000 4.18907e-08 ] 0
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DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.360000 4.82665e-08 ] 0
+DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.360000 4.42359e-08 ] 0
DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.280000 5.21899e-08 ] 0
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DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.200000 4.56048e-08 ] 0
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DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.120000 2.88843e-08 ] 0
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DEAL::2.53
-DEAL::<0.923880 0.382683> <0.707107 0.707107> <0.748551 0.316342> <0.603553 0.603553> [ 0.0400000 2.66998e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.960000 2.65247e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.880000 2.83600e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.800000 4.42919e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.720000 5.01488e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.640000 4.58814e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.560000 3.93838e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.480000 3.77733e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.400000 4.27679e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.320000 4.96716e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.240000 5.00262e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.160000 3.81711e-08 ] 0
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DEAL::2.52
-DEAL::<1.00000 0.00000> <0.923880 0.382683> <0.823223 0.00000> <0.748551 0.316342> [ 0.0800000 2.34856e-08 ] 0
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DEAL::2.49
DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 1.00000 5.65685e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.920000 2.34856e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.920000 4.15405e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.840000 3.81711e-08 ] 0
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DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.760000 5.00262e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.760000 6.00668e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.680000 4.96716e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.680000 5.00731e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.600000 4.27679e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.600000 3.54112e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.520000 3.77733e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.520000 2.67373e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.440000 3.93838e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.440000 2.96454e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.360000 4.58814e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.360000 4.20500e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.280000 5.01488e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.280000 5.52198e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.200000 4.42919e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.200000 5.83660e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.120000 2.83600e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.120000 4.70544e-08 ] 0
DEAL::2.49
-DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.0400000 2.65247e-08 ] 0
+DEAL::<0.923880 -0.382683> <1.00000 0.00000> <0.748551 -0.316342> <0.823223 0.00000> [ 0.0400000 3.82186e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.960000 2.66998e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.960000 3.84709e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.880000 2.88843e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.880000 4.79242e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.800000 4.56048e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.800000 6.00960e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.720000 5.21899e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.720000 5.74673e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.640000 4.82665e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.640000 4.42359e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.560000 4.18907e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.560000 3.15324e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.480000 4.06374e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.480000 2.87645e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.400000 4.65634e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.400000 3.85539e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.320000 5.47787e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.320000 5.52215e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.240000 5.59718e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.240000 6.72057e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.160000 4.34617e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.160000 6.38246e-08 ] 0
DEAL::2.48
-DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.0800000 2.73696e-08 ] 0
+DEAL::<0.707107 -0.707107> <0.923880 -0.382683> <0.603553 -0.603553> <0.748551 -0.316342> [ 0.0800000 4.84102e-08 ] 0
DEAL::2.5
DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 1.00000 6.82843e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.920000 2.73696e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.920000 4.84102e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.840000 4.34617e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.840000 6.38246e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.760000 5.59718e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.760000 6.72057e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.680000 5.47787e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.680000 5.52215e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.600000 4.65634e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.600000 3.85539e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.520000 4.06374e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.520000 2.87645e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.440000 4.18907e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.440000 3.15324e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.360000 4.82665e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.360000 4.42359e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.280000 5.21899e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.280000 5.74673e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.200000 4.56048e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.200000 6.00960e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.120000 2.88843e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.120000 4.79242e-08 ] 0
DEAL::2.5
-DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.0400000 2.66998e-08 ] 0
+DEAL::<0.382683 -0.923880> <0.707107 -0.707107> <0.316342 -0.748551> <0.603553 -0.603553> [ 0.0400000 3.84709e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.960000 2.65247e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.960000 3.82186e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.880000 2.83600e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.880000 4.70544e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.800000 4.42919e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.800000 5.83660e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.720000 5.01488e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.720000 5.52198e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.640000 4.58814e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.640000 4.20500e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.560000 3.93838e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.560000 2.96454e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.480000 3.77733e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.480000 2.67373e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.400000 4.27679e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.400000 3.54112e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.320000 4.96716e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.320000 5.00731e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.240000 5.00262e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.240000 6.00667e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.160000 3.81711e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.160000 5.60557e-08 ] 0
DEAL::2.4
-DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.0800000 2.34857e-08 ] 0
+DEAL::<0.00000 -1.00000> <0.382683 -0.923880> <0.00000 -0.823223> <0.316342 -0.748551> [ 0.0800000 4.15405e-08 ] 0
DEAL::2.1
DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 1.00000 5.65685e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.920000 2.34856e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.920000 4.15405e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.840000 3.81711e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.840000 5.60557e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.760000 5.00262e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.760000 6.00668e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.680000 4.96716e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.680000 5.00731e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.600000 4.27679e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.600000 3.54112e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.520000 3.77733e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.520000 2.67373e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.440000 3.93838e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.440000 2.96454e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.360000 4.58814e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.360000 4.20500e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.280000 5.01488e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.280000 5.52198e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.200000 4.42919e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.200000 5.83660e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.120000 2.83600e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.120000 4.70544e-08 ] 0
DEAL::2.1
-DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.0400000 2.65247e-08 ] 0
+DEAL::<-0.382683 -0.923880> <0.00000 -1.00000> <-0.316342 -0.748551> <0.00000 -0.823223> [ 0.0400000 3.82186e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.960000 2.66998e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.960000 3.84709e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.880000 2.88843e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.880000 4.79242e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.800000 4.56048e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.800000 6.00960e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.720000 5.21899e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.720000 5.74673e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.640000 4.82665e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.640000 4.42359e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.560000 4.18907e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.560000 3.15324e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.480000 4.06374e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.480000 2.87645e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.400000 4.65634e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.400000 3.85539e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.320000 5.47787e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.320000 5.52215e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.240000 5.59718e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.240000 6.72057e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.160000 4.34617e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.160000 6.38246e-08 ] 0
DEAL::2.0
-DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.0800000 2.73696e-08 ] 0
+DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 0.0800000 4.84102e-08 ] 0
DEAL::2.0
DEAL::<-0.707107 -0.707107> <-0.382683 -0.923880> <-0.603553 -0.603553> <-0.316342 -0.748551> [ 4.13471e-15 6.82843e-08 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 2.73696e-08 0.0800000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.84102e-08 0.0800000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.34617e-08 0.160000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 6.38246e-08 0.160000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 5.59718e-08 0.240000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 6.72057e-08 0.240000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 5.47787e-08 0.320000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 5.52215e-08 0.320000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.65634e-08 0.400000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 3.85539e-08 0.400000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.06374e-08 0.480000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 2.87645e-08 0.480000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.18907e-08 0.560000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 3.15324e-08 0.560000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.82665e-08 0.640000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.42359e-08 0.640000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 5.21899e-08 0.720000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 5.74673e-08 0.720000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.56048e-08 0.800000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 6.00960e-08 0.800000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 2.88843e-08 0.880000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 4.79242e-08 0.880000 ] 0
DEAL::2.16
-DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 2.66998e-08 0.960000 ] 0
+DEAL::<-0.707107 -0.707107> <-0.603553 -0.603553> <-0.923880 -0.382683> <-0.748551 -0.316342> [ 3.84709e-08 0.960000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 2.65247e-08 0.0400000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 3.82186e-08 0.0400000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 2.83600e-08 0.120000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.70544e-08 0.120000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.42919e-08 0.200000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.83660e-08 0.200000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.01488e-08 0.280000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.52198e-08 0.280000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.58814e-08 0.360000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.20500e-08 0.360000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 3.93838e-08 0.440000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 2.96454e-08 0.440000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 3.77733e-08 0.520000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 2.67373e-08 0.520000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.27679e-08 0.600000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 3.54112e-08 0.600000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.96716e-08 0.680000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.00731e-08 0.680000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.00262e-08 0.760000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 6.00667e-08 0.760000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 3.81711e-08 0.840000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.60557e-08 0.840000 ] 0
DEAL::2.18
-DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 2.34856e-08 0.920000 ] 0
+DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 4.15405e-08 0.920000 ] 0
DEAL::2.18
DEAL::<-0.923880 -0.382683> <-0.748551 -0.316342> <-1.00000 0.00000> <-0.823223 0.00000> [ 5.65685e-08 1.00000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 2.34856e-08 0.0800000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.15405e-08 0.0800000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 3.81711e-08 0.160000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 5.60557e-08 0.160000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 5.00262e-08 0.240000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 6.00668e-08 0.240000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.96716e-08 0.320000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 5.00731e-08 0.320000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.27679e-08 0.400000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 3.54112e-08 0.400000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 3.77733e-08 0.480000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 2.67373e-08 0.480000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 3.93838e-08 0.560000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 2.96454e-08 0.560000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.58814e-08 0.640000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.20500e-08 0.640000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 5.01488e-08 0.720000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 5.52198e-08 0.720000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.42919e-08 0.800000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 5.83660e-08 0.800000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 2.83600e-08 0.880000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 4.70544e-08 0.880000 ] 0
DEAL::2.24
-DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 2.65247e-08 0.960000 ] 0
+DEAL::<-1.00000 0.00000> <-0.823223 0.00000> <-0.923880 0.382683> <-0.748551 0.316342> [ 3.82186e-08 0.960000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 2.66998e-08 0.0400000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 3.84709e-08 0.0400000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 2.88843e-08 0.120000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.79242e-08 0.120000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.56048e-08 0.200000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 6.00960e-08 0.200000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 5.21899e-08 0.280000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 5.74673e-08 0.280000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.82665e-08 0.360000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.42359e-08 0.360000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.18907e-08 0.440000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 3.15324e-08 0.440000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.06374e-08 0.520000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 2.87645e-08 0.520000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.65634e-08 0.600000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 3.85539e-08 0.600000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 5.47787e-08 0.680000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 5.52215e-08 0.680000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 5.59718e-08 0.760000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 6.72057e-08 0.760000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.34617e-08 0.840000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 6.38246e-08 0.840000 ] 0
DEAL::2.26
-DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 2.73696e-08 0.920000 ] 0
+DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 4.84102e-08 0.920000 ] 0
DEAL::2.26
DEAL::<-0.923880 0.382683> <-0.748551 0.316342> <-0.707107 0.707107> <-0.603553 0.603553> [ 6.82843e-08 1.00000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 2.73696e-08 0.0800000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.84102e-08 0.0800000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.34617e-08 0.160000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 6.38246e-08 0.160000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 5.59718e-08 0.240000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 6.72057e-08 0.240000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 5.47787e-08 0.320000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 5.52215e-08 0.320000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.65634e-08 0.400000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 3.85539e-08 0.400000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.06374e-08 0.480000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 2.87645e-08 0.480000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.18907e-08 0.560000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 3.15324e-08 0.560000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.82665e-08 0.640000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.42359e-08 0.640000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 5.21899e-08 0.720000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 5.74673e-08 0.720000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.56048e-08 0.800000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 6.00960e-08 0.800000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 2.88843e-08 0.880000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 4.79242e-08 0.880000 ] 0
DEAL::2.64
-DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 2.66998e-08 0.960000 ] 0
+DEAL::<-0.707107 0.707107> <-0.603553 0.603553> <-0.382683 0.923880> <-0.316342 0.748551> [ 3.84709e-08 0.960000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 2.65247e-08 0.0400000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 3.82186e-08 0.0400000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 2.83600e-08 0.120000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.70544e-08 0.120000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.42919e-08 0.200000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.83660e-08 0.200000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.01488e-08 0.280000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.52198e-08 0.280000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.58814e-08 0.360000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.20500e-08 0.360000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 3.93838e-08 0.440000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 2.96454e-08 0.440000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 3.77733e-08 0.520000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 2.67373e-08 0.520000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.27679e-08 0.600000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 3.54112e-08 0.600000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.96716e-08 0.680000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.00731e-08 0.680000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.00262e-08 0.760000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 6.00667e-08 0.760000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 3.81711e-08 0.840000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 5.60557e-08 0.840000 ] 0
DEAL::2.66
-DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 2.34856e-08 0.920000 ] 0
+DEAL::<-0.382683 0.923880> <-0.316342 0.748551> <0.00000 1.00000> <0.00000 0.823223> [ 4.15405e-08 0.920000 ] 0
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2002 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+// check the Patterns::Map pattern with a separator other than the default ','
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/parameter_handler.h>
+#include <fstream>
+
+void check (const char *p)
+{
+ ParameterHandler prm;
+ prm.declare_entry ("test_13", "-1:a xyz 0:b xyz 1:c",
+ Patterns::Map(Patterns::Integer(-1,1),
+ Patterns::Selection("a|b|c"),
+ 2,3, "xyz"));
+
+ std::ifstream in(p);
+ prm.read_input (in);
+
+ deallog << "test_13=" << prm.get ("test_13") << std::endl;
+}
+
+
+int main ()
+{
+ std::ofstream logfile("parameter_handler_13a/output");
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ check ("parameter_handler_13a/prm");
+
+ return 0;
+}
--- /dev/null
+
+DEAL::test_13=1 : b xyz 0: a xyz 1 : c
--- /dev/null
+set test_13 = 1 : b xyz 0: a xyz 1 : c
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2002 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+// ParameterHandler::declare_entry throws an exception if the default
+// value of an entry doesn't match the pattern; but it should still
+// yield a properly declared entry
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/parameter_handler.h>
+#include <fstream>
+
+void check (const char *p)
+{
+ ParameterHandler prm;
+ try
+ {
+ prm.declare_entry ("test_1", "abc",
+ Patterns::List(Patterns::Integer(-1,1),2,3));
+ }
+ catch (const ParameterHandler::ExcValueDoesNotMatchPattern &)
+ {
+ deallog << "Exception caught as expected." << std::endl;
+ }
+
+ std::ifstream in(p);
+ prm.read_input (in);
+
+ deallog << "test_1=" << prm.get ("test_1") << std::endl;
+}
+
+
+int main ()
+{
+ std::ofstream logfile("parameter_handler_1_exception/output");
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ check ("parameter_handler_1_exception/prm");
+
+ return 0;
+}
--- /dev/null
+
+DEAL::Exception caught as expected.
+DEAL::test_1=1,0,1
--- /dev/null
+set test_1 = 1,0,1
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2002 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+// check the Patterns::List pattern with a separator different from the
+// default ','
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/parameter_handler.h>
+#include <fstream>
+
+void check (const char *p)
+{
+ ParameterHandler prm;
+ prm.declare_entry ("test_1", "-1 xyz 0",
+ Patterns::List(Patterns::Integer(-1,1),2,3,"xyz"));
+
+ std::ifstream in(p);
+ prm.read_input (in);
+
+ deallog << "test_1=" << prm.get ("test_1") << std::endl;
+}
+
+
+int main ()
+{
+ std::ofstream logfile("parameter_handler_1a/output");
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ check ("parameter_handler_1a/prm");
+
+ return 0;
+}
--- /dev/null
+
+DEAL::test_1=1 xyz 0 xyz 1
--- /dev/null
+set test_1 = 1 xyz 0 xyz 1
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2003 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+// like _02, but use the read_input_from_string function
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/parameter_handler.h>
+#include <fstream>
+
+
+int main ()
+{
+ std::ofstream logfile("parameter_handler_2_read_from_string/output");
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ ParameterHandler prm;
+ prm.enter_subsection ("Testing");
+ prm.declare_entry ("Function",
+ "a",
+ Patterns::List(Patterns::Selection("a|b|c|d|e|f|g|h")));
+ prm.leave_subsection ();
+
+ std::string input;
+ std::ifstream in("parameter_handler_2_read_from_string/prm");
+ while (in)
+ {
+ std::string s;
+ std::getline (in, s);
+ input += s;
+ input += '\n';
+ }
+ prm.read_input_from_string(input.c_str());
+
+ std::string list;
+ prm.enter_subsection ("Testing");
+ list = prm.get ("Function");
+ prm.leave_subsection ();
+
+ deallog << list << std::endl;
+
+ return 0;
+}
--- /dev/null
+
+DEAL::a, b, c
--- /dev/null
+#Listing of Parameters
+#---------------------
+subsection Testing
+ set Function = a, b, c
+end
-0.23 -0.97 0 0
-0.18 -0.98 0 0
-0.13 -0.99 0 0
--0.076 -1.0 0 0
+-0.076 -0.99 0 0
-0.025 -1.0 0 0
0.025 -1.0 0 0
-0.076 -1.0 0 0
+0.076 -0.99 0 0
0.13 -0.99 0 0
0.18 -0.98 0 0
0.23 -0.97 0 0
-0.97 -0.23 0 0
-0.98 -0.18 0 0
-0.99 -0.13 0 0
--1.0 -0.076 0 0
+-0.99 -0.076 0 0
-1.0 -0.025 0 0
-1.0 0.025 0 0
--1.0 0.076 0 0
+-0.99 0.076 0 0
-0.99 0.13 0 0
-0.98 0.18 0 0
-0.97 0.23 0 0
0.97 -0.23 0 0
0.98 -0.18 0 0
0.99 -0.13 0 0
-1.0 -0.076 0 0
+0.99 -0.076 0 0
1.0 -0.025 0 0
1.0 0.025 0 0
-1.0 0.076 0 0
+0.99 0.076 0 0
0.99 0.13 0 0
0.98 0.18 0 0
0.97 0.23 0 0
-0.23 0.97 0 0
-0.18 0.98 0 0
-0.13 0.99 0 0
--0.076 1.0 0 0
+-0.076 0.99 0 0
-0.025 1.0 0 0
0.025 1.0 0 0
-0.076 1.0 0 0
+0.076 0.99 0 0
0.13 0.99 0 0
0.18 0.98 0 0
0.23 0.97 0 0
-0.61 -0.79 1 0
-0.59 -0.81 1 0
-0.57 -0.82 1 0
--0.55 -0.84 1 0
+-0.55 -0.83 1 0
-0.53 -0.85 1 0
-0.51 -0.86 1 0
-0.49 -0.87 1 0
0.49 -0.87 1 0
0.51 -0.86 1 0
0.53 -0.85 1 0
-0.55 -0.84 1 0
+0.55 -0.83 1 0
0.57 -0.82 1 0
0.59 -0.81 1 0
0.61 -0.79 1 0
-0.79 -0.61 1 0
-0.81 -0.59 1 0
-0.82 -0.57 1 0
--0.84 -0.55 1 0
+-0.83 -0.55 1 0
-0.85 -0.53 1 0
-0.86 -0.51 1 0
-0.87 -0.49 1 0
-0.87 0.49 1 0
-0.86 0.51 1 0
-0.85 0.53 1 0
--0.84 0.55 1 0
+-0.83 0.55 1 0
-0.82 0.57 1 0
-0.81 0.59 1 0
-0.79 0.61 1 0
0.79 -0.61 1 0
0.81 -0.59 1 0
0.82 -0.57 1 0
-0.84 -0.55 1 0
+0.83 -0.55 1 0
0.85 -0.53 1 0
0.86 -0.51 1 0
0.87 -0.49 1 0
0.87 0.49 1 0
0.86 0.51 1 0
0.85 0.53 1 0
-0.84 0.55 1 0
+0.83 0.55 1 0
0.82 0.57 1 0
0.81 0.59 1 0
0.79 0.61 1 0
-0.61 0.79 1 0
-0.59 0.81 1 0
-0.57 0.82 1 0
--0.55 0.84 1 0
+-0.55 0.83 1 0
-0.53 0.85 1 0
-0.51 0.86 1 0
-0.49 0.87 1 0
0.49 0.87 1 0
0.51 0.86 1 0
0.53 0.85 1 0
-0.55 0.84 1 0
+0.55 0.83 1 0
0.57 0.82 1 0
0.59 0.81 1 0
0.61 0.79 1 0
20 3.1391475703122271 2.4451e-03 3.92
80 3.1414377167038303 1.5494e-04 3.98
320 3.1415829366419015 9.7169e-06 4.00
-1280 3.1415920457576916 6.0783e-07 4.00
+1280 3.1415920457576911 6.0783e-07 4.00
5120 3.1415926155921139 3.7998e-08 4.00
DEAL::
DEAL::Degree = 3
cells eval.pi error
-5 3.1465390309173462 4.9464e-03 -
-20 3.1419461263297381 3.5347e-04 3.81
-80 3.1416154689089395 2.2815e-05 3.95
-320 3.1415940909713300 1.4374e-06 3.99
-1280 3.1415927436051261 9.0015e-08 4.00
-5120 3.1415926592185532 5.6288e-09 4.00
+5 3.1410033851499310 5.8927e-04 -
+20 3.1415830393583861 9.6142e-06 5.94
+80 3.1415925017363837 1.5185e-07 5.98
+320 3.1415926512106722 2.3791e-09 6.00
+1280 3.1415926535525962 3.7197e-11 6.00
+5120 3.1415926535892140 5.7923e-13 6.00
DEAL::
DEAL::Degree = 4
-cells eval.pi error
-5 3.1418185737114031 2.2592e-04 -
-20 3.1415963919525285 3.7384e-06 5.92
-80 3.1415927128398162 5.9250e-08 5.98
-320 3.1415926545188730 9.2908e-10 5.99
-1280 3.1415926536043233 1.4530e-11 6.00
-5120 3.1415926535900214 2.2823e-13 5.99
+cells eval.pi error
+5 3.1415871927401127 5.4608e-06 -
+20 3.1415926314742437 2.2116e-08 7.95
+80 3.1415926535026228 8.7170e-11 7.99
+320 3.1415926535894529 3.4036e-13 8.00
+1280 3.1415926535897927 2.9187e-16 10.19
+5120 3.1415926535897944 1.3509e-15 -2.21
DEAL::
DEAL::Computation of Pi by the perimeter:
DEAL::===================================
20 3.1404050605605449 1.1876e-03 3.81
80 3.1415157631807014 7.6890e-05 3.95
320 3.1415878042798617 4.8493e-06 3.99
-1280 3.1415923498174538 3.0377e-07 4.00
+1280 3.1415923498174534 3.0377e-07 4.00
5120 3.1415926345932004 1.8997e-08 4.00
DEAL::
DEAL::Degree = 3
cells eval.pi error
-5 3.1442603311164290 2.6677e-03 -
-20 3.1417729561193593 1.8030e-04 3.89
-80 3.1416041192612361 1.1466e-05 3.98
-320 3.1415933731961765 7.1961e-07 3.99
-1280 3.1415926986118001 4.5022e-08 4.00
-5120 3.1415926564043968 2.8146e-09 4.00
+5 3.1414940401456057 9.8613e-05 -
+20 3.1415913432549156 1.3103e-06 6.23
+80 3.1415926341726914 1.9417e-08 6.08
+320 3.1415926532906893 2.9910e-10 6.02
+1280 3.1415926535851360 4.6571e-12 6.01
+5120 3.1415926535897203 7.2845e-14 6.00
DEAL::
DEAL::Degree = 4
cells eval.pi error
-5 3.1417078926581148 1.1524e-04 -
-20 3.1415945317216059 1.8781e-06 5.94
-80 3.1415926832497778 2.9660e-08 5.98
-320 3.1415926540544703 4.6468e-10 6.00
-1280 3.1415926535970597 7.2668e-12 6.00
-5120 3.1415926535899090 1.1580e-13 5.97
+5 3.1415921029432576 5.5065e-07 -
+20 3.1415926513737600 2.2160e-09 7.96
+80 3.1415926535810712 8.7218e-12 7.99
+320 3.1415926535897594 3.3668e-14 8.02
+1280 3.1415926535897922 1.0617e-15 4.99
+5120 3.1415926535897931 1.0061e-16 3.40
DEAL::
DEAL:cg::Starting value 0.094
DEAL:cg::Convergence step 233 value 0
cells |u|_1 error
-5 1.086161 0.167153
-20 1.207309 0.046005
-80 1.241652 0.011662
+5 1.084317 0.168997
+20 1.207179 0.046135
+80 1.241643 0.011671
320 1.250384 0.002930
1280 1.252580 0.000734
5120 1.253130 0.000184
AssertThrow (total_volume > 0,
ExcEvaluationPointNotFound(evaluation_point));
- rhs.scale (1./total_volume);
+ rhs /= total_volume;
}
DEAL:: subface integration: 2.00000
DEAL:: face integration: 3.10457
DEAL:: subface integration: 3.10457
-DEAL:: face integration: 3.14171
-DEAL:: subface integration: 3.14182
+DEAL:: face integration: 3.14148
+DEAL:: subface integration: 3.14159
DEAL:: face integration: 1.53960
DEAL:: subface integration: 1.53960
DEAL:: face integration: 4.07680
DEAL:: subface integration: 4.07680
-DEAL:: face integration: 4.22719
-DEAL:: subface integration: 4.22557
+DEAL:: face integration: 4.17508
+DEAL:: subface integration: 4.17357
DEAL:2d::1 168.29
DEAL:2d::2 84.15
DEAL:2d::3 168.29
-DEAL:2d::10 84.12
+DEAL:2d::10 84.09
DEAL:2d::29 84.15
DEAL:2d::30 168.29
DEAL:2d::31 84.15
DEAL:2d::32 168.29
-DEAL:2d::35 84.12
+DEAL:2d::35 84.09
DEAL:2d::45 84.15
DEAL:2d::46 168.29
-DEAL:2d::49 84.12
+DEAL:2d::49 84.09
DEAL:2d::78 84.15
DEAL:2d::79 168.29
-DEAL:2d::83 84.12
+DEAL:2d::83 84.09
DEAL:2d::86 84.15
DEAL:2d::87 168.29
-DEAL:2d::91 84.12
+DEAL:2d::91 84.09
DEAL:2d::98 84.15
DEAL:2d::99 168.29
-DEAL:2d::102 84.12
-DEAL:2d::108 84.12
+DEAL:2d::102 84.09
+DEAL:2d::108 84.09
DEAL:2d::112 84.15
DEAL:2d::113 168.29
-DEAL:2d::120 84.15
-DEAL:2d::126 84.15
+DEAL:2d::120 84.14
+DEAL:2d::126 84.14
DEAL:2d::Projected boundary values
DEAL:2d::0 84.19
-DEAL:2d::1 168.32
+DEAL:2d::1 168.29
DEAL:2d::2 84.20
-DEAL:2d::3 168.33
-DEAL:2d::10 84.14
+DEAL:2d::3 168.29
+DEAL:2d::10 84.12
DEAL:2d::29 84.19
-DEAL:2d::30 168.32
+DEAL:2d::30 168.29
DEAL:2d::31 84.20
-DEAL:2d::32 168.33
-DEAL:2d::35 84.14
+DEAL:2d::32 168.29
+DEAL:2d::35 84.12
DEAL:2d::45 84.21
-DEAL:2d::46 168.32
-DEAL:2d::49 84.14
+DEAL:2d::46 168.29
+DEAL:2d::49 84.12
DEAL:2d::78 84.21
-DEAL:2d::79 168.32
-DEAL:2d::83 84.14
+DEAL:2d::79 168.29
+DEAL:2d::83 84.12
DEAL:2d::86 84.21
-DEAL:2d::87 168.33
-DEAL:2d::91 84.14
+DEAL:2d::87 168.29
+DEAL:2d::91 84.12
DEAL:2d::98 84.21
-DEAL:2d::99 168.33
-DEAL:2d::102 84.14
-DEAL:2d::108 84.14
+DEAL:2d::99 168.29
+DEAL:2d::102 84.12
+DEAL:2d::108 84.12
DEAL:2d::112 84.16
DEAL:2d::113 168.29
DEAL:2d::120 84.14
DEAL:3d::11 168.29
DEAL:3d::14 84.15
DEAL:3d::15 168.29
-DEAL:3d::16 84.12
-DEAL:3d::17 84.14
-DEAL:3d::18 84.14
-DEAL:3d::19 84.12
-DEAL:3d::21 84.12
-DEAL:3d::22 84.12
-DEAL:3d::24 84.12
-DEAL:3d::25 84.14
-DEAL:3d::27 84.12
-DEAL:3d::29 84.08
-DEAL:3d::30 84.08
-DEAL:3d::32 84.08
+DEAL:3d::16 84.09
+DEAL:3d::17 84.13
+DEAL:3d::18 84.13
+DEAL:3d::19 84.09
+DEAL:3d::21 84.09
+DEAL:3d::22 84.09
+DEAL:3d::24 84.09
+DEAL:3d::25 84.13
+DEAL:3d::27 84.09
+DEAL:3d::29 84.03
+DEAL:3d::30 84.03
+DEAL:3d::32 84.03
DEAL:3d::35 84.15
DEAL:3d::36 168.29
DEAL:3d::37 84.15
DEAL:3d::44 168.29
DEAL:3d::45 84.15
DEAL:3d::46 168.29
-DEAL:3d::47 84.14
-DEAL:3d::48 84.12
-DEAL:3d::49 84.12
-DEAL:3d::50 84.14
-DEAL:3d::51 84.12
-DEAL:3d::54 84.12
-DEAL:3d::55 84.12
-DEAL:3d::56 84.14
-DEAL:3d::57 84.12
-DEAL:3d::58 84.08
-DEAL:3d::61 84.08
-DEAL:3d::62 84.08
+DEAL:3d::47 84.13
+DEAL:3d::48 84.09
+DEAL:3d::49 84.09
+DEAL:3d::50 84.13
+DEAL:3d::51 84.09
+DEAL:3d::54 84.09
+DEAL:3d::55 84.09
+DEAL:3d::56 84.13
+DEAL:3d::57 84.09
+DEAL:3d::58 84.03
+DEAL:3d::61 84.03
+DEAL:3d::62 84.03
DEAL:3d::65 84.15
DEAL:3d::66 168.29
DEAL:3d::67 84.15
DEAL:3d::68 168.29
-DEAL:3d::69 84.14
-DEAL:3d::70 84.14
-DEAL:3d::71 84.12
-DEAL:3d::72 84.12
-DEAL:3d::73 84.14
-DEAL:3d::74 84.08
-DEAL:3d::75 84.08
-DEAL:3d::76 84.08
+DEAL:3d::69 84.13
+DEAL:3d::70 84.13
+DEAL:3d::71 84.09
+DEAL:3d::72 84.09
+DEAL:3d::73 84.13
+DEAL:3d::74 84.03
+DEAL:3d::75 84.03
+DEAL:3d::76 84.03
DEAL:3d::79 84.15
DEAL:3d::80 168.29
DEAL:3d::81 84.15
DEAL:3d::86 168.29
DEAL:3d::87 84.15
DEAL:3d::88 168.29
-DEAL:3d::89 84.12
-DEAL:3d::90 84.12
-DEAL:3d::91 84.14
-DEAL:3d::92 84.12
-DEAL:3d::93 84.14
-DEAL:3d::94 84.12
-DEAL:3d::95 84.14
-DEAL:3d::96 84.12
-DEAL:3d::97 84.12
-DEAL:3d::99 84.08
-DEAL:3d::101 84.08
-DEAL:3d::104 84.08
+DEAL:3d::89 84.09
+DEAL:3d::90 84.09
+DEAL:3d::91 84.13
+DEAL:3d::92 84.09
+DEAL:3d::93 84.13
+DEAL:3d::94 84.09
+DEAL:3d::95 84.13
+DEAL:3d::96 84.09
+DEAL:3d::97 84.09
+DEAL:3d::99 84.03
+DEAL:3d::101 84.03
+DEAL:3d::104 84.03
DEAL:3d::106 84.15
DEAL:3d::107 168.29
DEAL:3d::108 84.15
DEAL:3d::109 168.29
-DEAL:3d::110 84.14
-DEAL:3d::111 84.14
-DEAL:3d::112 84.12
-DEAL:3d::113 84.14
-DEAL:3d::114 84.12
-DEAL:3d::115 84.08
-DEAL:3d::116 84.08
-DEAL:3d::118 84.08
+DEAL:3d::110 84.13
+DEAL:3d::111 84.13
+DEAL:3d::112 84.09
+DEAL:3d::113 84.13
+DEAL:3d::114 84.09
+DEAL:3d::115 84.03
+DEAL:3d::116 84.03
+DEAL:3d::118 84.03
DEAL:3d::120 84.15
DEAL:3d::121 168.29
DEAL:3d::122 84.15
DEAL:3d::123 168.29
-DEAL:3d::124 84.14
-DEAL:3d::125 84.12
-DEAL:3d::126 84.14
-DEAL:3d::127 84.14
-DEAL:3d::128 84.12
-DEAL:3d::129 84.08
-DEAL:3d::131 84.08
-DEAL:3d::132 84.08
+DEAL:3d::124 84.13
+DEAL:3d::125 84.09
+DEAL:3d::126 84.13
+DEAL:3d::127 84.13
+DEAL:3d::128 84.09
+DEAL:3d::129 84.03
+DEAL:3d::131 84.03
+DEAL:3d::132 84.03
DEAL:3d::134 84.15
DEAL:3d::135 168.29
-DEAL:3d::136 84.14
-DEAL:3d::137 84.14
-DEAL:3d::138 84.14
-DEAL:3d::139 84.08
-DEAL:3d::140 84.08
-DEAL:3d::141 84.08
+DEAL:3d::136 84.13
+DEAL:3d::137 84.13
+DEAL:3d::138 84.13
+DEAL:3d::139 84.03
+DEAL:3d::140 84.03
+DEAL:3d::141 84.03
DEAL:3d::143 84.15
DEAL:3d::144 168.29
DEAL:3d::145 84.15
DEAL:3d::155 84.15
DEAL:3d::156 168.29
DEAL:3d::159 84.15
-DEAL:3d::160 84.15
+DEAL:3d::160 84.14
DEAL:3d::161 84.15
-DEAL:3d::162 84.15
-DEAL:3d::163 84.15
-DEAL:3d::165 84.15
+DEAL:3d::162 84.14
+DEAL:3d::163 84.14
+DEAL:3d::165 84.14
DEAL:3d::167 84.15
-DEAL:3d::168 84.15
-DEAL:3d::169 84.15
+DEAL:3d::168 84.14
+DEAL:3d::169 84.14
DEAL:3d::171 84.14
DEAL:3d::173 84.14
DEAL:3d::175 84.14
DEAL:3d::179 168.29
DEAL:3d::180 84.15
DEAL:3d::181 168.29
-DEAL:3d::184 84.15
+DEAL:3d::184 84.14
DEAL:3d::185 84.15
-DEAL:3d::186 84.15
-DEAL:3d::188 84.15
-DEAL:3d::190 84.15
+DEAL:3d::186 84.14
+DEAL:3d::188 84.14
+DEAL:3d::190 84.14
DEAL:3d::193 84.14
DEAL:3d::195 84.14
DEAL:3d::198 84.15
DEAL:3d::200 84.15
DEAL:3d::201 168.29
DEAL:3d::204 84.15
-DEAL:3d::205 84.15
-DEAL:3d::206 84.15
-DEAL:3d::207 84.15
-DEAL:3d::210 84.15
+DEAL:3d::205 84.14
+DEAL:3d::206 84.14
+DEAL:3d::207 84.14
+DEAL:3d::210 84.14
DEAL:3d::212 84.14
DEAL:3d::215 84.14
-DEAL:3d::220 84.15
-DEAL:3d::221 84.15
+DEAL:3d::220 84.14
+DEAL:3d::221 84.14
DEAL:3d::227 84.14
DEAL:3d::230 84.15
DEAL:3d::231 168.29
DEAL:3d::232 84.15
DEAL:3d::233 168.29
-DEAL:3d::236 84.15
-DEAL:3d::238 84.15
+DEAL:3d::236 84.14
+DEAL:3d::238 84.14
DEAL:3d::240 84.15
-DEAL:3d::241 84.15
-DEAL:3d::242 84.15
+DEAL:3d::241 84.14
+DEAL:3d::242 84.14
DEAL:3d::244 84.14
DEAL:3d::246 84.14
-DEAL:3d::253 84.15
-DEAL:3d::255 84.15
+DEAL:3d::253 84.14
+DEAL:3d::255 84.14
DEAL:3d::258 84.14
-DEAL:3d::264 84.15
-DEAL:3d::267 84.15
+DEAL:3d::264 84.14
+DEAL:3d::267 84.14
DEAL:3d::269 84.14
DEAL:3d::Interpolated boundary values
DEAL:3d::0 1.00
DEAL::Memory consumption -- Matrix: 1400
DEAL::Memory consumption -- Solution: 416
DEAL::Memory consumption -- Rhs: 416
-DEAL::Memory consumption -- DataOut: 3321
+DEAL::Memory consumption -- DataOut: 3329
DEAL::2d
DEAL::Cycle 0:
DEAL:: Number of active cells: 20
DEAL::Memory consumption -- Matrix: 120824
DEAL::Memory consumption -- Solution: 7456
DEAL::Memory consumption -- Rhs: 7456
-DEAL::Memory consumption -- DataOut: 42781
+DEAL::Memory consumption -- DataOut: 42789
DEAL::3d
DEAL::Cycle 0:
DEAL:: Number of active cells: 56
DEAL::Memory consumption -- Matrix: 16383928
DEAL::Memory consumption -- Solution: 259552
DEAL::Memory consumption -- Rhs: 259552
-DEAL::Memory consumption -- DataOut: 1159717
+DEAL::Memory consumption -- DataOut: 1159725
-0.2236 -0.2236 0.3873 0 0
-0.2556 -0.2556 0.4426 0 0
--0.2583 -0.1831 0.4473 0 0
+-0.2567 -0.1828 0.4446 0 0
-0.2364 -0.1626 0.4095 0 0
-0.2236 -0.2236 0.3873 0 0
-0.2364 -0.1626 0.4095 0 0
--0.2583 -0.1831 0.4473 0 0
--0.2601 -0.1101 0.4505 0 0
+-0.2567 -0.1828 0.4446 0 0
+-0.2574 -0.1098 0.4459 0 0
-0.2451 -0.0987 0.4245 0 0
-0.2364 -0.1626 0.4095 0 0
-0.2451 -0.0987 0.4245 0 0
--0.2601 -0.1101 0.4505 0 0
--0.2610 -0.0368 0.4521 0 0
+-0.2574 -0.1098 0.4459 0 0
+-0.2578 -0.0366 0.4465 0 0
-0.2495 -0.0331 0.4321 0 0
-0.2451 -0.0987 0.4245 0 0
-0.2495 -0.0331 0.4321 0 0
--0.2610 -0.0368 0.4521 0 0
--0.2610 0.0368 0.4521 0 0
+-0.2578 -0.0366 0.4465 0 0
+-0.2578 0.0366 0.4465 0 0
-0.2495 0.0331 0.4321 0 0
-0.2495 -0.0331 0.4321 0 0
-0.2495 0.0331 0.4321 0 0
--0.2610 0.0368 0.4521 0 0
--0.2601 0.1101 0.4505 0 0
+-0.2578 0.0366 0.4465 0 0
+-0.2574 0.1098 0.4459 0 0
-0.2451 0.0987 0.4245 0 0
-0.2495 0.0331 0.4321 0 0
-0.2451 0.0987 0.4245 0 0
--0.2601 0.1101 0.4505 0 0
--0.2583 0.1831 0.4473 0 0
+-0.2574 0.1098 0.4459 0 0
+-0.2567 0.1828 0.4446 0 0
-0.2364 0.1626 0.4095 0 0
-0.2451 0.0987 0.4245 0 0
-0.2364 0.1626 0.4095 0 0
--0.2583 0.1831 0.4473 0 0
+-0.2567 0.1828 0.4446 0 0
-0.2556 0.2556 0.4426 0 0
-0.2236 0.2236 0.3873 0 0
-0.2364 0.1626 0.4095 0 0
-0.2556 -0.2556 0.4426 0 0
-0.2875 -0.2875 0.4980 0 0
--0.2871 -0.2053 0.4974 0 0
--0.2583 -0.1831 0.4473 0 0
+-0.2858 -0.2050 0.4950 0 0
+-0.2567 -0.1828 0.4446 0 0
-0.2556 -0.2556 0.4426 0 0
--0.2583 -0.1831 0.4473 0 0
--0.2871 -0.2053 0.4974 0 0
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--0.2583 -0.1831 0.4473 0 0
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+-0.2858 -0.2050 0.4950 0 0
+-0.2847 -0.1228 0.4931 0 0
+-0.2574 -0.1098 0.4459 0 0
+-0.2567 -0.1828 0.4446 0 0
--0.2601 -0.1101 0.4505 0 0
--0.2869 -0.1231 0.4969 0 0
--0.2868 -0.0410 0.4967 0 0
--0.2610 -0.0368 0.4521 0 0
--0.2601 -0.1101 0.4505 0 0
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+-0.2574 -0.1098 0.4459 0 0
--0.2610 -0.0368 0.4521 0 0
--0.2868 -0.0410 0.4967 0 0
--0.2868 0.0410 0.4967 0 0
--0.2610 0.0368 0.4521 0 0
--0.2610 -0.0368 0.4521 0 0
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+-0.2841 0.0409 0.4921 0 0
+-0.2578 0.0366 0.4465 0 0
+-0.2578 -0.0366 0.4465 0 0
--0.2610 0.0368 0.4521 0 0
--0.2868 0.0410 0.4967 0 0
--0.2869 0.1231 0.4969 0 0
--0.2601 0.1101 0.4505 0 0
--0.2610 0.0368 0.4521 0 0
+-0.2578 0.0366 0.4465 0 0
+-0.2841 0.0409 0.4921 0 0
+-0.2847 0.1228 0.4931 0 0
+-0.2574 0.1098 0.4459 0 0
+-0.2578 0.0366 0.4465 0 0
--0.2601 0.1101 0.4505 0 0
--0.2869 0.1231 0.4969 0 0
--0.2871 0.2053 0.4974 0 0
--0.2583 0.1831 0.4473 0 0
--0.2601 0.1101 0.4505 0 0
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+-0.2567 0.1828 0.4446 0 0
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--0.2583 0.1831 0.4473 0 0
--0.2871 0.2053 0.4974 0 0
+-0.2567 0.1828 0.4446 0 0
+-0.2858 0.2050 0.4950 0 0
-0.2875 0.2875 0.4980 0 0
-0.2556 0.2556 0.4426 0 0
--0.2583 0.1831 0.4473 0 0
+-0.2567 0.1828 0.4446 0 0
-0.2875 -0.2875 0.4980 0 0
-0.3194 -0.3194 0.5533 0 0
--0.3191 -0.2281 0.5527 0 0
--0.2871 -0.2053 0.4974 0 0
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+-0.2858 -0.2050 0.4950 0 0
-0.2875 -0.2875 0.4980 0 0
--0.2871 -0.2053 0.4974 0 0
--0.3191 -0.2281 0.5527 0 0
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--0.2871 -0.2053 0.4974 0 0
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--0.2869 -0.1231 0.4969 0 0
--0.3189 -0.1368 0.5524 0 0
--0.3188 -0.0456 0.5522 0 0
--0.2868 -0.0410 0.4967 0 0
--0.2869 -0.1231 0.4969 0 0
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+-0.2841 -0.0409 0.4921 0 0
+-0.2847 -0.1228 0.4931 0 0
--0.2868 -0.0410 0.4967 0 0
--0.3188 -0.0456 0.5522 0 0
--0.3188 0.0456 0.5522 0 0
--0.2868 0.0410 0.4967 0 0
--0.2868 -0.0410 0.4967 0 0
+-0.2841 -0.0409 0.4921 0 0
+-0.3179 -0.0456 0.5507 0 0
+-0.3179 0.0456 0.5507 0 0
+-0.2841 0.0409 0.4921 0 0
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--0.2868 0.0410 0.4967 0 0
--0.3188 0.0456 0.5522 0 0
--0.3189 0.1368 0.5524 0 0
--0.2869 0.1231 0.4969 0 0
--0.2868 0.0410 0.4967 0 0
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--0.2869 0.1231 0.4969 0 0
--0.3189 0.1368 0.5524 0 0
--0.3191 0.2281 0.5527 0 0
--0.2871 0.2053 0.4974 0 0
--0.2869 0.1231 0.4969 0 0
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--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2007 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+// check the creation of normal flux boundary conditions for a finite
+// element that consists of only a single set of vector components
+// (i.e. it has dim components). Similar as the no-flux test in no_flux_01.cc
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/mapping_q1.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <fstream>
+
+
+template<int dim>
+void test (const Triangulation<dim> &tr,
+ const FiniteElement<dim> &fe)
+{
+ DoFHandler<dim> dof(tr);
+ dof.distribute_dofs(fe);
+
+ for (unsigned int i=0; i<GeometryInfo<dim>::faces_per_cell; ++i)
+ {
+ deallog << "FE=" << fe.get_name()
+ << ", case=" << i
+ << std::endl;
+
+ std::set<types::boundary_id> boundary_ids;
+ for (unsigned int j=0; j<=i; ++j)
+ boundary_ids.insert (j);
+
+ ConstraintMatrix cm;
+ VectorTools::compute_normal_flux_constraints (dof, 0, boundary_ids, cm);
+
+ cm.print (deallog.get_file_stream ());
+ }
+}
+
+
+template<int dim>
+void test_hyper_cube()
+{
+ Triangulation<dim> tr;
+ GridGenerator::hyper_cube(tr);
+
+ for (unsigned int i=0; i<GeometryInfo<dim>::faces_per_cell; ++i)
+ tr.begin_active()->face(i)->set_boundary_indicator (i);
+
+ tr.refine_global(2);
+
+ for (unsigned int degree=1; degree<4; ++degree)
+ {
+ FESystem<dim> fe (FE_Q<dim>(degree), dim);
+ test(tr, fe);
+ }
+}
+
+
+int main()
+{
+ std::ofstream logfile ("normal_flux_01/output");
+ deallog << std::setprecision (2);
+ deallog << std::fixed;
+ deallog.attach(logfile);
+ deallog.depth_console (0);
+ deallog.threshold_double(1.e-12);
+
+ test_hyper_cube<2>();
+ test_hyper_cube<3>();
+}
--- /dev/null
+
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=0
+ 1 = 0
+ 5 = 0
+ 13 = 0
+ 31 = 0
+ 37 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=1
+ 1 = 0
+ 5 = 0
+ 13 = 0
+ 23 = 0
+ 25 = 0
+ 29 = 0
+ 31 = 0
+ 37 = 0
+ 45 = 0
+ 49 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=2
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 8 = 0
+ 13 = 0
+ 18 = 0
+ 22 = 0
+ 23 = 0
+ 25 = 0
+ 29 = 0
+ 31 = 0
+ 37 = 0
+ 45 = 0
+ 49 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=3
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 8 = 0
+ 13 = 0
+ 18 = 0
+ 22 = 0
+ 23 = 0
+ 25 = 0
+ 29 = 0
+ 31 = 0
+ 36 = 0
+ 37 = 0
+ 38 = 0
+ 40 = 0
+ 45 = 0
+ 46 = 0
+ 48 = 0
+ 49 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=0
+ 1 = 0
+ 5 = 0
+ 9 = 0
+ 31 = 0
+ 35 = 0
+ 91 = 0
+ 95 = 0
+ 111 = 0
+ 115 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=1
+ 1 = 0
+ 5 = 0
+ 9 = 0
+ 31 = 0
+ 35 = 0
+ 63 = 0
+ 65 = 0
+ 67 = 0
+ 83 = 0
+ 85 = 0
+ 91 = 0
+ 95 = 0
+ 111 = 0
+ 115 = 0
+ 139 = 0
+ 141 = 0
+ 155 = 0
+ 157 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=2
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 9 = 0
+ 12 = 0
+ 18 = 0
+ 24 = 0
+ 31 = 0
+ 35 = 0
+ 50 = 0
+ 56 = 0
+ 62 = 0
+ 63 = 0
+ 65 = 0
+ 67 = 0
+ 68 = 0
+ 83 = 0
+ 85 = 0
+ 91 = 0
+ 95 = 0
+ 111 = 0
+ 115 = 0
+ 139 = 0
+ 141 = 0
+ 155 = 0
+ 157 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=3
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 9 = 0
+ 12 = 0
+ 18 = 0
+ 24 = 0
+ 31 = 0
+ 35 = 0
+ 50 = 0
+ 56 = 0
+ 62 = 0
+ 63 = 0
+ 65 = 0
+ 67 = 0
+ 68 = 0
+ 83 = 0
+ 85 = 0
+ 91 = 0
+ 95 = 0
+ 110 = 0
+ 111 = 0
+ 112 = 0
+ 115 = 0
+ 118 = 0
+ 122 = 0
+ 126 = 0
+ 139 = 0
+ 141 = 0
+ 146 = 0
+ 150 = 0
+ 154 = 0
+ 155 = 0
+ 157 = 0
+ 158 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=0
+ 1 = 0
+ 5 = 0
+ 10 = 0
+ 11 = 0
+ 57 = 0
+ 62 = 0
+ 63 = 0
+ 183 = 0
+ 188 = 0
+ 189 = 0
+ 225 = 0
+ 230 = 0
+ 231 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=1
+ 1 = 0
+ 5 = 0
+ 10 = 0
+ 11 = 0
+ 57 = 0
+ 62 = 0
+ 63 = 0
+ 123 = 0
+ 125 = 0
+ 128 = 0
+ 129 = 0
+ 165 = 0
+ 168 = 0
+ 169 = 0
+ 183 = 0
+ 188 = 0
+ 189 = 0
+ 225 = 0
+ 230 = 0
+ 231 = 0
+ 285 = 0
+ 288 = 0
+ 289 = 0
+ 321 = 0
+ 324 = 0
+ 325 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=2
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 11 = 0
+ 16 = 0
+ 17 = 0
+ 32 = 0
+ 40 = 0
+ 41 = 0
+ 57 = 0
+ 62 = 0
+ 63 = 0
+ 98 = 0
+ 106 = 0
+ 107 = 0
+ 122 = 0
+ 123 = 0
+ 125 = 0
+ 128 = 0
+ 129 = 0
+ 130 = 0
+ 131 = 0
+ 165 = 0
+ 168 = 0
+ 169 = 0
+ 183 = 0
+ 188 = 0
+ 189 = 0
+ 225 = 0
+ 230 = 0
+ 231 = 0
+ 285 = 0
+ 288 = 0
+ 289 = 0
+ 321 = 0
+ 324 = 0
+ 325 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=3
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 11 = 0
+ 16 = 0
+ 17 = 0
+ 32 = 0
+ 40 = 0
+ 41 = 0
+ 57 = 0
+ 62 = 0
+ 63 = 0
+ 98 = 0
+ 106 = 0
+ 107 = 0
+ 122 = 0
+ 123 = 0
+ 125 = 0
+ 128 = 0
+ 129 = 0
+ 130 = 0
+ 131 = 0
+ 165 = 0
+ 168 = 0
+ 169 = 0
+ 183 = 0
+ 188 = 0
+ 189 = 0
+ 224 = 0
+ 225 = 0
+ 226 = 0
+ 230 = 0
+ 231 = 0
+ 236 = 0
+ 237 = 0
+ 248 = 0
+ 254 = 0
+ 255 = 0
+ 285 = 0
+ 288 = 0
+ 289 = 0
+ 302 = 0
+ 308 = 0
+ 309 = 0
+ 320 = 0
+ 321 = 0
+ 324 = 0
+ 325 = 0
+ 326 = 0
+ 327 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=0
+ 1 = 0
+ 2 = 0
+ 7 = 0
+ 8 = 0
+ 13 = 0
+ 14 = 0
+ 19 = 0
+ 20 = 0
+ 37 = 0
+ 38 = 0
+ 43 = 0
+ 44 = 0
+ 55 = 0
+ 56 = 0
+ 61 = 0
+ 62 = 0
+ 73 = 0
+ 74 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 154 = 0
+ 155 = 0
+ 160 = 0
+ 161 = 0
+ 172 = 0
+ 173 = 0
+ 181 = 0
+ 182 = 0
+ 226 = 0
+ 227 = 0
+ 232 = 0
+ 233 = 0
+ 244 = 0
+ 245 = 0
+ 253 = 0
+ 254 = 0
+ 259 = 0
+ 260 = 0
+ 271 = 0
+ 272 = 0
+ 316 = 0
+ 317 = 0
+ 325 = 0
+ 326 = 0
+ 334 = 0
+ 335 = 0
+ 343 = 0
+ 344 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=1
+ 1 = 0
+ 2 = 0
+ 7 = 0
+ 8 = 0
+ 13 = 0
+ 14 = 0
+ 19 = 0
+ 20 = 0
+ 37 = 0
+ 38 = 0
+ 43 = 0
+ 44 = 0
+ 55 = 0
+ 56 = 0
+ 61 = 0
+ 62 = 0
+ 73 = 0
+ 74 = 0
+ 94 = 0
+ 95 = 0
+ 97 = 0
+ 98 = 0
+ 100 = 0
+ 101 = 0
+ 103 = 0
+ 104 = 0
+ 112 = 0
+ 113 = 0
+ 115 = 0
+ 116 = 0
+ 124 = 0
+ 125 = 0
+ 127 = 0
+ 128 = 0
+ 133 = 0
+ 134 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 154 = 0
+ 155 = 0
+ 160 = 0
+ 161 = 0
+ 172 = 0
+ 173 = 0
+ 181 = 0
+ 182 = 0
+ 196 = 0
+ 197 = 0
+ 199 = 0
+ 200 = 0
+ 208 = 0
+ 209 = 0
+ 211 = 0
+ 212 = 0
+ 217 = 0
+ 218 = 0
+ 223 = 0
+ 224 = 0
+ 226 = 0
+ 227 = 0
+ 232 = 0
+ 233 = 0
+ 244 = 0
+ 245 = 0
+ 253 = 0
+ 254 = 0
+ 259 = 0
+ 260 = 0
+ 271 = 0
+ 272 = 0
+ 286 = 0
+ 287 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 304 = 0
+ 305 = 0
+ 307 = 0
+ 308 = 0
+ 313 = 0
+ 314 = 0
+ 316 = 0
+ 317 = 0
+ 325 = 0
+ 326 = 0
+ 334 = 0
+ 335 = 0
+ 343 = 0
+ 344 = 0
+ 355 = 0
+ 356 = 0
+ 361 = 0
+ 362 = 0
+ 367 = 0
+ 368 = 0
+ 373 = 0
+ 374 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=2
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 5 = 0
+ 7 = 0
+ 8 = 0
+ 12 = 0
+ 13 = 0
+ 14 = 0
+ 15 = 0
+ 17 = 0
+ 19 = 0
+ 20 = 0
+ 24 = 0
+ 26 = 0
+ 30 = 0
+ 32 = 0
+ 37 = 0
+ 38 = 0
+ 43 = 0
+ 44 = 0
+ 54 = 0
+ 55 = 0
+ 56 = 0
+ 57 = 0
+ 59 = 0
+ 61 = 0
+ 62 = 0
+ 66 = 0
+ 68 = 0
+ 73 = 0
+ 74 = 0
+ 81 = 0
+ 83 = 0
+ 87 = 0
+ 89 = 0
+ 93 = 0
+ 94 = 0
+ 95 = 0
+ 97 = 0
+ 98 = 0
+ 99 = 0
+ 100 = 0
+ 101 = 0
+ 103 = 0
+ 104 = 0
+ 112 = 0
+ 113 = 0
+ 115 = 0
+ 116 = 0
+ 117 = 0
+ 119 = 0
+ 123 = 0
+ 124 = 0
+ 125 = 0
+ 127 = 0
+ 128 = 0
+ 133 = 0
+ 134 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 154 = 0
+ 155 = 0
+ 160 = 0
+ 161 = 0
+ 172 = 0
+ 173 = 0
+ 181 = 0
+ 182 = 0
+ 196 = 0
+ 197 = 0
+ 199 = 0
+ 200 = 0
+ 208 = 0
+ 209 = 0
+ 211 = 0
+ 212 = 0
+ 217 = 0
+ 218 = 0
+ 223 = 0
+ 224 = 0
+ 225 = 0
+ 226 = 0
+ 227 = 0
+ 228 = 0
+ 230 = 0
+ 232 = 0
+ 233 = 0
+ 237 = 0
+ 239 = 0
+ 244 = 0
+ 245 = 0
+ 252 = 0
+ 253 = 0
+ 254 = 0
+ 255 = 0
+ 257 = 0
+ 259 = 0
+ 260 = 0
+ 264 = 0
+ 266 = 0
+ 271 = 0
+ 272 = 0
+ 279 = 0
+ 281 = 0
+ 285 = 0
+ 286 = 0
+ 287 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 297 = 0
+ 299 = 0
+ 303 = 0
+ 304 = 0
+ 305 = 0
+ 307 = 0
+ 308 = 0
+ 313 = 0
+ 314 = 0
+ 316 = 0
+ 317 = 0
+ 325 = 0
+ 326 = 0
+ 334 = 0
+ 335 = 0
+ 343 = 0
+ 344 = 0
+ 355 = 0
+ 356 = 0
+ 361 = 0
+ 362 = 0
+ 367 = 0
+ 368 = 0
+ 373 = 0
+ 374 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=3
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 5 = 0
+ 7 = 0
+ 8 = 0
+ 12 = 0
+ 13 = 0
+ 14 = 0
+ 15 = 0
+ 17 = 0
+ 19 = 0
+ 20 = 0
+ 24 = 0
+ 26 = 0
+ 30 = 0
+ 32 = 0
+ 37 = 0
+ 38 = 0
+ 43 = 0
+ 44 = 0
+ 54 = 0
+ 55 = 0
+ 56 = 0
+ 57 = 0
+ 59 = 0
+ 61 = 0
+ 62 = 0
+ 66 = 0
+ 68 = 0
+ 73 = 0
+ 74 = 0
+ 81 = 0
+ 83 = 0
+ 87 = 0
+ 89 = 0
+ 93 = 0
+ 94 = 0
+ 95 = 0
+ 97 = 0
+ 98 = 0
+ 99 = 0
+ 100 = 0
+ 101 = 0
+ 103 = 0
+ 104 = 0
+ 112 = 0
+ 113 = 0
+ 115 = 0
+ 116 = 0
+ 117 = 0
+ 119 = 0
+ 123 = 0
+ 124 = 0
+ 125 = 0
+ 127 = 0
+ 128 = 0
+ 133 = 0
+ 134 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 153 = 0
+ 154 = 0
+ 155 = 0
+ 156 = 0
+ 158 = 0
+ 159 = 0
+ 160 = 0
+ 161 = 0
+ 162 = 0
+ 164 = 0
+ 165 = 0
+ 167 = 0
+ 168 = 0
+ 170 = 0
+ 172 = 0
+ 173 = 0
+ 180 = 0
+ 181 = 0
+ 182 = 0
+ 183 = 0
+ 185 = 0
+ 186 = 0
+ 188 = 0
+ 196 = 0
+ 197 = 0
+ 199 = 0
+ 200 = 0
+ 201 = 0
+ 203 = 0
+ 204 = 0
+ 206 = 0
+ 207 = 0
+ 208 = 0
+ 209 = 0
+ 210 = 0
+ 211 = 0
+ 212 = 0
+ 217 = 0
+ 218 = 0
+ 219 = 0
+ 221 = 0
+ 222 = 0
+ 223 = 0
+ 224 = 0
+ 225 = 0
+ 226 = 0
+ 227 = 0
+ 228 = 0
+ 230 = 0
+ 232 = 0
+ 233 = 0
+ 237 = 0
+ 239 = 0
+ 244 = 0
+ 245 = 0
+ 252 = 0
+ 253 = 0
+ 254 = 0
+ 255 = 0
+ 257 = 0
+ 259 = 0
+ 260 = 0
+ 264 = 0
+ 266 = 0
+ 271 = 0
+ 272 = 0
+ 279 = 0
+ 281 = 0
+ 285 = 0
+ 286 = 0
+ 287 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 297 = 0
+ 299 = 0
+ 303 = 0
+ 304 = 0
+ 305 = 0
+ 307 = 0
+ 308 = 0
+ 313 = 0
+ 314 = 0
+ 316 = 0
+ 317 = 0
+ 324 = 0
+ 325 = 0
+ 326 = 0
+ 327 = 0
+ 329 = 0
+ 330 = 0
+ 332 = 0
+ 334 = 0
+ 335 = 0
+ 342 = 0
+ 343 = 0
+ 344 = 0
+ 345 = 0
+ 347 = 0
+ 348 = 0
+ 350 = 0
+ 355 = 0
+ 356 = 0
+ 357 = 0
+ 359 = 0
+ 360 = 0
+ 361 = 0
+ 362 = 0
+ 367 = 0
+ 368 = 0
+ 369 = 0
+ 371 = 0
+ 372 = 0
+ 373 = 0
+ 374 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=4
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 4 = 0
+ 5 = 0
+ 6 = 0
+ 7 = 0
+ 8 = 0
+ 9 = 0
+ 10 = 0
+ 12 = 0
+ 13 = 0
+ 14 = 0
+ 15 = 0
+ 17 = 0
+ 19 = 0
+ 20 = 0
+ 24 = 0
+ 25 = 0
+ 26 = 0
+ 27 = 0
+ 28 = 0
+ 30 = 0
+ 32 = 0
+ 36 = 0
+ 37 = 0
+ 38 = 0
+ 39 = 0
+ 40 = 0
+ 43 = 0
+ 44 = 0
+ 48 = 0
+ 49 = 0
+ 54 = 0
+ 55 = 0
+ 56 = 0
+ 57 = 0
+ 59 = 0
+ 61 = 0
+ 62 = 0
+ 66 = 0
+ 68 = 0
+ 73 = 0
+ 74 = 0
+ 81 = 0
+ 82 = 0
+ 83 = 0
+ 84 = 0
+ 85 = 0
+ 87 = 0
+ 89 = 0
+ 93 = 0
+ 94 = 0
+ 95 = 0
+ 96 = 0
+ 97 = 0
+ 98 = 0
+ 99 = 0
+ 100 = 0
+ 101 = 0
+ 103 = 0
+ 104 = 0
+ 105 = 0
+ 106 = 0
+ 111 = 0
+ 112 = 0
+ 113 = 0
+ 115 = 0
+ 116 = 0
+ 117 = 0
+ 119 = 0
+ 123 = 0
+ 124 = 0
+ 125 = 0
+ 127 = 0
+ 128 = 0
+ 133 = 0
+ 134 = 0
+ 135 = 0
+ 136 = 0
+ 137 = 0
+ 138 = 0
+ 139 = 0
+ 142 = 0
+ 143 = 0
+ 147 = 0
+ 148 = 0
+ 153 = 0
+ 154 = 0
+ 155 = 0
+ 156 = 0
+ 157 = 0
+ 158 = 0
+ 159 = 0
+ 160 = 0
+ 161 = 0
+ 162 = 0
+ 164 = 0
+ 165 = 0
+ 166 = 0
+ 167 = 0
+ 168 = 0
+ 170 = 0
+ 172 = 0
+ 173 = 0
+ 180 = 0
+ 181 = 0
+ 182 = 0
+ 183 = 0
+ 185 = 0
+ 186 = 0
+ 188 = 0
+ 189 = 0
+ 190 = 0
+ 195 = 0
+ 196 = 0
+ 197 = 0
+ 199 = 0
+ 200 = 0
+ 201 = 0
+ 202 = 0
+ 203 = 0
+ 204 = 0
+ 206 = 0
+ 207 = 0
+ 208 = 0
+ 209 = 0
+ 210 = 0
+ 211 = 0
+ 212 = 0
+ 217 = 0
+ 218 = 0
+ 219 = 0
+ 221 = 0
+ 222 = 0
+ 223 = 0
+ 224 = 0
+ 225 = 0
+ 226 = 0
+ 227 = 0
+ 228 = 0
+ 230 = 0
+ 232 = 0
+ 233 = 0
+ 237 = 0
+ 239 = 0
+ 244 = 0
+ 245 = 0
+ 252 = 0
+ 253 = 0
+ 254 = 0
+ 255 = 0
+ 257 = 0
+ 259 = 0
+ 260 = 0
+ 264 = 0
+ 266 = 0
+ 271 = 0
+ 272 = 0
+ 279 = 0
+ 281 = 0
+ 285 = 0
+ 286 = 0
+ 287 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 297 = 0
+ 299 = 0
+ 303 = 0
+ 304 = 0
+ 305 = 0
+ 307 = 0
+ 308 = 0
+ 313 = 0
+ 314 = 0
+ 316 = 0
+ 317 = 0
+ 324 = 0
+ 325 = 0
+ 326 = 0
+ 327 = 0
+ 329 = 0
+ 330 = 0
+ 332 = 0
+ 334 = 0
+ 335 = 0
+ 342 = 0
+ 343 = 0
+ 344 = 0
+ 345 = 0
+ 347 = 0
+ 348 = 0
+ 350 = 0
+ 355 = 0
+ 356 = 0
+ 357 = 0
+ 359 = 0
+ 360 = 0
+ 361 = 0
+ 362 = 0
+ 367 = 0
+ 368 = 0
+ 369 = 0
+ 371 = 0
+ 372 = 0
+ 373 = 0
+ 374 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=5
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 4 = 0
+ 5 = 0
+ 6 = 0
+ 7 = 0
+ 8 = 0
+ 9 = 0
+ 10 = 0
+ 12 = 0
+ 13 = 0
+ 14 = 0
+ 15 = 0
+ 17 = 0
+ 19 = 0
+ 20 = 0
+ 24 = 0
+ 25 = 0
+ 26 = 0
+ 27 = 0
+ 28 = 0
+ 30 = 0
+ 32 = 0
+ 36 = 0
+ 37 = 0
+ 38 = 0
+ 39 = 0
+ 40 = 0
+ 43 = 0
+ 44 = 0
+ 48 = 0
+ 49 = 0
+ 54 = 0
+ 55 = 0
+ 56 = 0
+ 57 = 0
+ 59 = 0
+ 61 = 0
+ 62 = 0
+ 66 = 0
+ 68 = 0
+ 73 = 0
+ 74 = 0
+ 81 = 0
+ 82 = 0
+ 83 = 0
+ 84 = 0
+ 85 = 0
+ 87 = 0
+ 89 = 0
+ 93 = 0
+ 94 = 0
+ 95 = 0
+ 96 = 0
+ 97 = 0
+ 98 = 0
+ 99 = 0
+ 100 = 0
+ 101 = 0
+ 103 = 0
+ 104 = 0
+ 105 = 0
+ 106 = 0
+ 111 = 0
+ 112 = 0
+ 113 = 0
+ 115 = 0
+ 116 = 0
+ 117 = 0
+ 119 = 0
+ 123 = 0
+ 124 = 0
+ 125 = 0
+ 127 = 0
+ 128 = 0
+ 133 = 0
+ 134 = 0
+ 135 = 0
+ 136 = 0
+ 137 = 0
+ 138 = 0
+ 139 = 0
+ 142 = 0
+ 143 = 0
+ 147 = 0
+ 148 = 0
+ 153 = 0
+ 154 = 0
+ 155 = 0
+ 156 = 0
+ 157 = 0
+ 158 = 0
+ 159 = 0
+ 160 = 0
+ 161 = 0
+ 162 = 0
+ 164 = 0
+ 165 = 0
+ 166 = 0
+ 167 = 0
+ 168 = 0
+ 170 = 0
+ 172 = 0
+ 173 = 0
+ 180 = 0
+ 181 = 0
+ 182 = 0
+ 183 = 0
+ 185 = 0
+ 186 = 0
+ 188 = 0
+ 189 = 0
+ 190 = 0
+ 195 = 0
+ 196 = 0
+ 197 = 0
+ 199 = 0
+ 200 = 0
+ 201 = 0
+ 202 = 0
+ 203 = 0
+ 204 = 0
+ 206 = 0
+ 207 = 0
+ 208 = 0
+ 209 = 0
+ 210 = 0
+ 211 = 0
+ 212 = 0
+ 217 = 0
+ 218 = 0
+ 219 = 0
+ 221 = 0
+ 222 = 0
+ 223 = 0
+ 224 = 0
+ 225 = 0
+ 226 = 0
+ 227 = 0
+ 228 = 0
+ 230 = 0
+ 232 = 0
+ 233 = 0
+ 237 = 0
+ 239 = 0
+ 244 = 0
+ 245 = 0
+ 252 = 0
+ 253 = 0
+ 254 = 0
+ 255 = 0
+ 256 = 0
+ 257 = 0
+ 258 = 0
+ 259 = 0
+ 260 = 0
+ 261 = 0
+ 262 = 0
+ 264 = 0
+ 265 = 0
+ 266 = 0
+ 267 = 0
+ 268 = 0
+ 270 = 0
+ 271 = 0
+ 272 = 0
+ 273 = 0
+ 274 = 0
+ 276 = 0
+ 277 = 0
+ 279 = 0
+ 281 = 0
+ 285 = 0
+ 286 = 0
+ 287 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 297 = 0
+ 298 = 0
+ 299 = 0
+ 300 = 0
+ 301 = 0
+ 303 = 0
+ 304 = 0
+ 305 = 0
+ 306 = 0
+ 307 = 0
+ 308 = 0
+ 309 = 0
+ 310 = 0
+ 312 = 0
+ 313 = 0
+ 314 = 0
+ 316 = 0
+ 317 = 0
+ 324 = 0
+ 325 = 0
+ 326 = 0
+ 327 = 0
+ 329 = 0
+ 330 = 0
+ 332 = 0
+ 333 = 0
+ 334 = 0
+ 335 = 0
+ 336 = 0
+ 337 = 0
+ 339 = 0
+ 340 = 0
+ 342 = 0
+ 343 = 0
+ 344 = 0
+ 345 = 0
+ 346 = 0
+ 347 = 0
+ 348 = 0
+ 349 = 0
+ 350 = 0
+ 355 = 0
+ 356 = 0
+ 357 = 0
+ 359 = 0
+ 360 = 0
+ 361 = 0
+ 362 = 0
+ 363 = 0
+ 364 = 0
+ 366 = 0
+ 367 = 0
+ 368 = 0
+ 369 = 0
+ 370 = 0
+ 371 = 0
+ 372 = 0
+ 373 = 0
+ 374 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=0
+ 1 = 0
+ 2 = 0
+ 7 = 0
+ 8 = 0
+ 13 = 0
+ 14 = 0
+ 19 = 0
+ 20 = 0
+ 25 = 0
+ 26 = 0
+ 37 = 0
+ 38 = 0
+ 49 = 0
+ 50 = 0
+ 55 = 0
+ 56 = 0
+ 61 = 0
+ 62 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 148 = 0
+ 149 = 0
+ 157 = 0
+ 158 = 0
+ 166 = 0
+ 167 = 0
+ 172 = 0
+ 173 = 0
+ 226 = 0
+ 227 = 0
+ 232 = 0
+ 233 = 0
+ 238 = 0
+ 239 = 0
+ 250 = 0
+ 251 = 0
+ 256 = 0
+ 257 = 0
+ 262 = 0
+ 263 = 0
+ 316 = 0
+ 317 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=1
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+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=2
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+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=3
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+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=4
+ 0 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=5
+ 0 = 0
+ 1 = 0
+ 2 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=0
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=1
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=2
+ 0 = 0
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=3
+ 0 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=4
+ 0 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=5
+ 0 = 0
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+ 5761 = 0
+ 5763 = 0
+ 5765 = 0
+ 5766 = 0
+ 5768 = 0
+ 5767 = 0
+ 5769 = 0
+ 5772 = 0
+ 5774 = 0
+ 5776 = 0
+ 5773 = 0
+ 5775 = 0
+ 5777 = 0
+ 5778 = 0
+ 5780 = 0
+ 5782 = 0
+ 5779 = 0
+ 5781 = 0
+ 5783 = 0
+ 5784 = 0
+ 5788 = 0
+ 5785 = 0
+ 5789 = 0
+ 5794 = 0
+ 5798 = 0
+ 5795 = 0
+ 5799 = 0
+ 5796 = 0
+ 5800 = 0
+ 5797 = 0
+ 5801 = 0
+ 5814 = 0
+ 5822 = 0
+ 5815 = 0
+ 5823 = 0
+ 5816 = 0
+ 5824 = 0
+ 5817 = 0
+ 5825 = 0
+ 5826 = 0
+ 5830 = 0
+ 5827 = 0
+ 5831 = 0
+ 5828 = 0
+ 5832 = 0
+ 5829 = 0
+ 5833 = 0
+ 5862 = 0
+ 5863 = 0
+ 5864 = 0
+ 5865 = 0
+ 5867 = 0
+ 5866 = 0
+ 5868 = 0
+ 5871 = 0
+ 5873 = 0
+ 5875 = 0
+ 5872 = 0
+ 5874 = 0
+ 5876 = 0
+ 5877 = 0
+ 5881 = 0
+ 5878 = 0
+ 5882 = 0
+ 5895 = 0
+ 5903 = 0
+ 5896 = 0
+ 5904 = 0
+ 5897 = 0
+ 5905 = 0
+ 5898 = 0
+ 5906 = 0
+ 5907 = 0
+ 5911 = 0
+ 5908 = 0
+ 5912 = 0
+ 5909 = 0
+ 5913 = 0
+ 5910 = 0
+ 5914 = 0
+ 6025 = 0
+ 6026 = 0
+ 6029 = 0
+ 6031 = 0
+ 6030 = 0
+ 6032 = 0
+ 6041 = 0
+ 6043 = 0
+ 6042 = 0
+ 6044 = 0
+ 6049 = 0
+ 6053 = 0
+ 6050 = 0
+ 6054 = 0
+ 6051 = 0
+ 6055 = 0
+ 6052 = 0
+ 6056 = 0
+ 6105 = 0
+ 6107 = 0
+ 6114 = 0
+ 6118 = 0
+ 6115 = 0
+ 6119 = 0
+ 6120 = 0
+ 6124 = 0
+ 6121 = 0
+ 6125 = 0
+ 6138 = 0
+ 6146 = 0
+ 6139 = 0
+ 6147 = 0
+ 6140 = 0
+ 6148 = 0
+ 6141 = 0
+ 6149 = 0
+ 6186 = 0
+ 6187 = 0
+ 6188 = 0
+ 6191 = 0
+ 6193 = 0
+ 6192 = 0
+ 6194 = 0
+ 6195 = 0
+ 6199 = 0
+ 6196 = 0
+ 6200 = 0
+ 6201 = 0
+ 6203 = 0
+ 6205 = 0
+ 6202 = 0
+ 6204 = 0
+ 6206 = 0
+ 6211 = 0
+ 6215 = 0
+ 6212 = 0
+ 6216 = 0
+ 6213 = 0
+ 6217 = 0
+ 6214 = 0
+ 6218 = 0
+ 6219 = 0
+ 6227 = 0
+ 6220 = 0
+ 6228 = 0
+ 6221 = 0
+ 6229 = 0
+ 6222 = 0
+ 6230 = 0
+ 6267 = 0
+ 6268 = 0
+ 6270 = 0
+ 6272 = 0
+ 6271 = 0
+ 6273 = 0
+ 6276 = 0
+ 6278 = 0
+ 6277 = 0
+ 6279 = 0
+ 6312 = 0
+ 6316 = 0
+ 6313 = 0
+ 6317 = 0
+ 6314 = 0
+ 6318 = 0
+ 6315 = 0
+ 6319 = 0
+ 6348 = 0
+ 6349 = 0
+ 6350 = 0
+ 6351 = 0
+ 6353 = 0
+ 6355 = 0
+ 6352 = 0
+ 6354 = 0
+ 6356 = 0
+ 6357 = 0
+ 6359 = 0
+ 6358 = 0
+ 6360 = 0
+ 6365 = 0
+ 6367 = 0
+ 6366 = 0
+ 6368 = 0
+ 6373 = 0
+ 6377 = 0
+ 6374 = 0
+ 6378 = 0
+ 6375 = 0
+ 6379 = 0
+ 6376 = 0
+ 6380 = 0
+ 6393 = 0
+ 6397 = 0
+ 6394 = 0
+ 6398 = 0
+ 6395 = 0
+ 6399 = 0
+ 6396 = 0
+ 6400 = 0
+ 6429 = 0
+ 6430 = 0
+ 6431 = 0
+ 6432 = 0
+ 6434 = 0
+ 6433 = 0
+ 6435 = 0
+ 6438 = 0
+ 6440 = 0
+ 6442 = 0
+ 6439 = 0
+ 6441 = 0
+ 6443 = 0
+ 6444 = 0
+ 6448 = 0
+ 6445 = 0
+ 6449 = 0
+ 6462 = 0
+ 6470 = 0
+ 6463 = 0
+ 6471 = 0
+ 6464 = 0
+ 6472 = 0
+ 6465 = 0
+ 6473 = 0
+ 6474 = 0
+ 6478 = 0
+ 6475 = 0
+ 6479 = 0
+ 6476 = 0
+ 6480 = 0
+ 6477 = 0
+ 6481 = 0
+ 6510 = 0
+ 6511 = 0
+ 6512 = 0
+ 6513 = 0
+ 6515 = 0
+ 6517 = 0
+ 6514 = 0
+ 6516 = 0
+ 6518 = 0
+ 6519 = 0
+ 6521 = 0
+ 6523 = 0
+ 6520 = 0
+ 6522 = 0
+ 6524 = 0
+ 6525 = 0
+ 6527 = 0
+ 6529 = 0
+ 6526 = 0
+ 6528 = 0
+ 6530 = 0
+ 6535 = 0
+ 6539 = 0
+ 6536 = 0
+ 6540 = 0
+ 6537 = 0
+ 6541 = 0
+ 6538 = 0
+ 6542 = 0
+ 6543 = 0
+ 6551 = 0
+ 6544 = 0
+ 6552 = 0
+ 6545 = 0
+ 6553 = 0
+ 6546 = 0
+ 6554 = 0
+ 6555 = 0
+ 6559 = 0
+ 6556 = 0
+ 6560 = 0
+ 6557 = 0
+ 6561 = 0
+ 6558 = 0
+ 6562 = 0
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2007 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// check the creation of normal flux boundary conditions for a finite
+// element that consists of more than dim components and where
+// therefore we have to pick the vector components from somewhere in
+// the middle (opposite constraints as no_flux_02.cc does).
+
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/mapping_q1.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <fstream>
+
+
+
+template<int dim>
+void test (const Triangulation<dim> &tr,
+ const FiniteElement<dim> &fe)
+{
+ DoFHandler<dim> dof(tr);
+ dof.distribute_dofs(fe);
+
+ for (unsigned int i=0; i<GeometryInfo<dim>::faces_per_cell; ++i)
+ {
+ deallog << "FE=" << fe.get_name()
+ << ", case=" << i
+ << std::endl;
+
+ std::set<types::boundary_id> boundary_ids;
+ for (unsigned int j=0; j<=i; ++j)
+ boundary_ids.insert (j);
+
+ ConstraintMatrix cm;
+ VectorTools::compute_normal_flux_constraints (dof, 1, boundary_ids, cm);
+
+ cm.print (deallog.get_file_stream ());
+ }
+}
+
+
+template<int dim>
+void test_hyper_cube()
+{
+ Triangulation<dim> tr;
+ GridGenerator::hyper_cube(tr);
+
+ for (unsigned int i=0; i<GeometryInfo<dim>::faces_per_cell; ++i)
+ tr.begin_active()->face(i)->set_boundary_indicator (i);
+
+ tr.refine_global(2);
+
+ for (unsigned int degree=1; degree<4; ++degree)
+ {
+ FESystem<dim> fe (FE_Q<dim>(degree+1), 1,
+ FE_Q<dim>(degree), dim,
+ FE_Q<dim>(degree+1), 1);
+ test(tr, fe);
+ }
+}
+
+
+int main()
+{
+ std::ofstream logfile ("normal_flux_02/output");
+ deallog << std::setprecision (2);
+ deallog << std::fixed;
+ deallog.attach(logfile);
+ deallog.depth_console (0);
+ deallog.threshold_double(1.e-12);
+
+ test_hyper_cube<2>();
+ test_hyper_cube<3>();
+}
--- /dev/null
+
+DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=0
+ 2 = 0
+ 10 = 0
+ 44 = 0
+ 122 = 0
+ 148 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=1
+ 2 = 0
+ 10 = 0
+ 44 = 0
+ 86 = 0
+ 90 = 0
+ 112 = 0
+ 122 = 0
+ 148 = 0
+ 184 = 0
+ 204 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=2
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 27 = 0
+ 44 = 0
+ 69 = 0
+ 85 = 0
+ 86 = 0
+ 90 = 0
+ 112 = 0
+ 122 = 0
+ 148 = 0
+ 184 = 0
+ 204 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(2)-FE_Q<2>(1)^2-FE_Q<2>(2)], case=3
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 27 = 0
+ 44 = 0
+ 69 = 0
+ 85 = 0
+ 86 = 0
+ 90 = 0
+ 112 = 0
+ 122 = 0
+ 147 = 0
+ 148 = 0
+ 151 = 0
+ 163 = 0
+ 184 = 0
+ 193 = 0
+ 203 = 0
+ 204 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=0
+ 2 = 0
+ 10 = 0
+ 19 = 0
+ 88 = 0
+ 97 = 0
+ 274 = 0
+ 283 = 0
+ 336 = 0
+ 345 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=1
+ 2 = 0
+ 10 = 0
+ 19 = 0
+ 88 = 0
+ 97 = 0
+ 186 = 0
+ 190 = 0
+ 195 = 0
+ 248 = 0
+ 253 = 0
+ 274 = 0
+ 283 = 0
+ 336 = 0
+ 345 = 0
+ 424 = 0
+ 429 = 0
+ 476 = 0
+ 481 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=2
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 19 = 0
+ 30 = 0
+ 51 = 0
+ 66 = 0
+ 88 = 0
+ 97 = 0
+ 149 = 0
+ 164 = 0
+ 185 = 0
+ 186 = 0
+ 190 = 0
+ 195 = 0
+ 200 = 0
+ 248 = 0
+ 253 = 0
+ 274 = 0
+ 283 = 0
+ 336 = 0
+ 345 = 0
+ 424 = 0
+ 429 = 0
+ 476 = 0
+ 481 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(3)-FE_Q<2>(2)^2-FE_Q<2>(3)], case=3
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 19 = 0
+ 30 = 0
+ 51 = 0
+ 66 = 0
+ 88 = 0
+ 97 = 0
+ 149 = 0
+ 164 = 0
+ 185 = 0
+ 186 = 0
+ 190 = 0
+ 195 = 0
+ 200 = 0
+ 248 = 0
+ 253 = 0
+ 274 = 0
+ 283 = 0
+ 335 = 0
+ 336 = 0
+ 339 = 0
+ 345 = 0
+ 356 = 0
+ 371 = 0
+ 382 = 0
+ 424 = 0
+ 429 = 0
+ 449 = 0
+ 460 = 0
+ 475 = 0
+ 476 = 0
+ 481 = 0
+ 486 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=0
+ 2 = 0
+ 10 = 0
+ 21 = 0
+ 22 = 0
+ 148 = 0
+ 159 = 0
+ 160 = 0
+ 490 = 0
+ 501 = 0
+ 502 = 0
+ 604 = 0
+ 615 = 0
+ 616 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=1
+ 2 = 0
+ 10 = 0
+ 21 = 0
+ 22 = 0
+ 148 = 0
+ 159 = 0
+ 160 = 0
+ 326 = 0
+ 330 = 0
+ 337 = 0
+ 338 = 0
+ 440 = 0
+ 447 = 0
+ 448 = 0
+ 490 = 0
+ 501 = 0
+ 502 = 0
+ 604 = 0
+ 615 = 0
+ 616 = 0
+ 768 = 0
+ 775 = 0
+ 776 = 0
+ 868 = 0
+ 875 = 0
+ 876 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=2
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 21 = 0
+ 22 = 0
+ 39 = 0
+ 40 = 0
+ 83 = 0
+ 103 = 0
+ 104 = 0
+ 148 = 0
+ 159 = 0
+ 160 = 0
+ 261 = 0
+ 281 = 0
+ 282 = 0
+ 325 = 0
+ 326 = 0
+ 330 = 0
+ 337 = 0
+ 338 = 0
+ 345 = 0
+ 346 = 0
+ 440 = 0
+ 447 = 0
+ 448 = 0
+ 490 = 0
+ 501 = 0
+ 502 = 0
+ 604 = 0
+ 615 = 0
+ 616 = 0
+ 768 = 0
+ 775 = 0
+ 776 = 0
+ 868 = 0
+ 875 = 0
+ 876 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(4)-FE_Q<2>(3)^2-FE_Q<2>(4)], case=3
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 10 = 0
+ 21 = 0
+ 22 = 0
+ 39 = 0
+ 40 = 0
+ 83 = 0
+ 103 = 0
+ 104 = 0
+ 148 = 0
+ 159 = 0
+ 160 = 0
+ 261 = 0
+ 281 = 0
+ 282 = 0
+ 325 = 0
+ 326 = 0
+ 330 = 0
+ 337 = 0
+ 338 = 0
+ 345 = 0
+ 346 = 0
+ 440 = 0
+ 447 = 0
+ 448 = 0
+ 490 = 0
+ 501 = 0
+ 502 = 0
+ 603 = 0
+ 604 = 0
+ 607 = 0
+ 615 = 0
+ 616 = 0
+ 633 = 0
+ 634 = 0
+ 667 = 0
+ 683 = 0
+ 684 = 0
+ 768 = 0
+ 775 = 0
+ 776 = 0
+ 817 = 0
+ 833 = 0
+ 834 = 0
+ 867 = 0
+ 868 = 0
+ 875 = 0
+ 876 = 0
+ 883 = 0
+ 884 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=0
+ 2 = 0
+ 3 = 0
+ 12 = 0
+ 13 = 0
+ 22 = 0
+ 23 = 0
+ 32 = 0
+ 33 = 0
+ 128 = 0
+ 129 = 0
+ 138 = 0
+ 139 = 0
+ 206 = 0
+ 207 = 0
+ 216 = 0
+ 217 = 0
+ 284 = 0
+ 285 = 0
+ 587 = 0
+ 588 = 0
+ 597 = 0
+ 598 = 0
+ 665 = 0
+ 666 = 0
+ 675 = 0
+ 676 = 0
+ 743 = 0
+ 744 = 0
+ 792 = 0
+ 793 = 0
+ 1037 = 0
+ 1038 = 0
+ 1047 = 0
+ 1048 = 0
+ 1115 = 0
+ 1116 = 0
+ 1164 = 0
+ 1165 = 0
+ 1174 = 0
+ 1175 = 0
+ 1242 = 0
+ 1243 = 0
+ 1487 = 0
+ 1488 = 0
+ 1536 = 0
+ 1537 = 0
+ 1585 = 0
+ 1586 = 0
+ 1634 = 0
+ 1635 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=1
+ 2 = 0
+ 3 = 0
+ 12 = 0
+ 13 = 0
+ 22 = 0
+ 23 = 0
+ 32 = 0
+ 33 = 0
+ 128 = 0
+ 129 = 0
+ 138 = 0
+ 139 = 0
+ 206 = 0
+ 207 = 0
+ 216 = 0
+ 217 = 0
+ 284 = 0
+ 285 = 0
+ 381 = 0
+ 382 = 0
+ 386 = 0
+ 387 = 0
+ 391 = 0
+ 392 = 0
+ 396 = 0
+ 397 = 0
+ 459 = 0
+ 460 = 0
+ 464 = 0
+ 465 = 0
+ 519 = 0
+ 520 = 0
+ 524 = 0
+ 525 = 0
+ 568 = 0
+ 569 = 0
+ 587 = 0
+ 588 = 0
+ 597 = 0
+ 598 = 0
+ 665 = 0
+ 666 = 0
+ 675 = 0
+ 676 = 0
+ 743 = 0
+ 744 = 0
+ 792 = 0
+ 793 = 0
+ 871 = 0
+ 872 = 0
+ 876 = 0
+ 877 = 0
+ 931 = 0
+ 932 = 0
+ 936 = 0
+ 937 = 0
+ 980 = 0
+ 981 = 0
+ 1018 = 0
+ 1019 = 0
+ 1037 = 0
+ 1038 = 0
+ 1047 = 0
+ 1048 = 0
+ 1115 = 0
+ 1116 = 0
+ 1164 = 0
+ 1165 = 0
+ 1174 = 0
+ 1175 = 0
+ 1242 = 0
+ 1243 = 0
+ 1321 = 0
+ 1322 = 0
+ 1326 = 0
+ 1327 = 0
+ 1370 = 0
+ 1371 = 0
+ 1419 = 0
+ 1420 = 0
+ 1424 = 0
+ 1425 = 0
+ 1468 = 0
+ 1469 = 0
+ 1487 = 0
+ 1488 = 0
+ 1536 = 0
+ 1537 = 0
+ 1585 = 0
+ 1586 = 0
+ 1634 = 0
+ 1635 = 0
+ 1702 = 0
+ 1703 = 0
+ 1740 = 0
+ 1741 = 0
+ 1778 = 0
+ 1779 = 0
+ 1816 = 0
+ 1817 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=2
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 6 = 0
+ 8 = 0
+ 12 = 0
+ 13 = 0
+ 21 = 0
+ 22 = 0
+ 23 = 0
+ 26 = 0
+ 28 = 0
+ 32 = 0
+ 33 = 0
+ 79 = 0
+ 81 = 0
+ 89 = 0
+ 91 = 0
+ 128 = 0
+ 129 = 0
+ 138 = 0
+ 139 = 0
+ 205 = 0
+ 206 = 0
+ 207 = 0
+ 210 = 0
+ 212 = 0
+ 216 = 0
+ 217 = 0
+ 253 = 0
+ 255 = 0
+ 284 = 0
+ 285 = 0
+ 332 = 0
+ 334 = 0
+ 342 = 0
+ 344 = 0
+ 380 = 0
+ 381 = 0
+ 382 = 0
+ 386 = 0
+ 387 = 0
+ 390 = 0
+ 391 = 0
+ 392 = 0
+ 396 = 0
+ 397 = 0
+ 459 = 0
+ 460 = 0
+ 464 = 0
+ 465 = 0
+ 488 = 0
+ 490 = 0
+ 518 = 0
+ 519 = 0
+ 520 = 0
+ 524 = 0
+ 525 = 0
+ 568 = 0
+ 569 = 0
+ 587 = 0
+ 588 = 0
+ 597 = 0
+ 598 = 0
+ 665 = 0
+ 666 = 0
+ 675 = 0
+ 676 = 0
+ 743 = 0
+ 744 = 0
+ 792 = 0
+ 793 = 0
+ 871 = 0
+ 872 = 0
+ 876 = 0
+ 877 = 0
+ 931 = 0
+ 932 = 0
+ 936 = 0
+ 937 = 0
+ 980 = 0
+ 981 = 0
+ 1018 = 0
+ 1019 = 0
+ 1036 = 0
+ 1037 = 0
+ 1038 = 0
+ 1041 = 0
+ 1043 = 0
+ 1047 = 0
+ 1048 = 0
+ 1084 = 0
+ 1086 = 0
+ 1115 = 0
+ 1116 = 0
+ 1163 = 0
+ 1164 = 0
+ 1165 = 0
+ 1168 = 0
+ 1170 = 0
+ 1174 = 0
+ 1175 = 0
+ 1211 = 0
+ 1213 = 0
+ 1242 = 0
+ 1243 = 0
+ 1290 = 0
+ 1292 = 0
+ 1320 = 0
+ 1321 = 0
+ 1322 = 0
+ 1326 = 0
+ 1327 = 0
+ 1370 = 0
+ 1371 = 0
+ 1388 = 0
+ 1390 = 0
+ 1418 = 0
+ 1419 = 0
+ 1420 = 0
+ 1424 = 0
+ 1425 = 0
+ 1468 = 0
+ 1469 = 0
+ 1487 = 0
+ 1488 = 0
+ 1536 = 0
+ 1537 = 0
+ 1585 = 0
+ 1586 = 0
+ 1634 = 0
+ 1635 = 0
+ 1702 = 0
+ 1703 = 0
+ 1740 = 0
+ 1741 = 0
+ 1778 = 0
+ 1779 = 0
+ 1816 = 0
+ 1817 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=3
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 6 = 0
+ 8 = 0
+ 12 = 0
+ 13 = 0
+ 21 = 0
+ 22 = 0
+ 23 = 0
+ 26 = 0
+ 28 = 0
+ 32 = 0
+ 33 = 0
+ 79 = 0
+ 81 = 0
+ 89 = 0
+ 91 = 0
+ 128 = 0
+ 129 = 0
+ 138 = 0
+ 139 = 0
+ 205 = 0
+ 206 = 0
+ 207 = 0
+ 210 = 0
+ 212 = 0
+ 216 = 0
+ 217 = 0
+ 253 = 0
+ 255 = 0
+ 284 = 0
+ 285 = 0
+ 332 = 0
+ 334 = 0
+ 342 = 0
+ 344 = 0
+ 380 = 0
+ 381 = 0
+ 382 = 0
+ 386 = 0
+ 387 = 0
+ 390 = 0
+ 391 = 0
+ 392 = 0
+ 396 = 0
+ 397 = 0
+ 459 = 0
+ 460 = 0
+ 464 = 0
+ 465 = 0
+ 488 = 0
+ 490 = 0
+ 518 = 0
+ 519 = 0
+ 520 = 0
+ 524 = 0
+ 525 = 0
+ 568 = 0
+ 569 = 0
+ 587 = 0
+ 588 = 0
+ 597 = 0
+ 598 = 0
+ 664 = 0
+ 665 = 0
+ 666 = 0
+ 669 = 0
+ 671 = 0
+ 674 = 0
+ 675 = 0
+ 676 = 0
+ 679 = 0
+ 681 = 0
+ 712 = 0
+ 714 = 0
+ 717 = 0
+ 719 = 0
+ 743 = 0
+ 744 = 0
+ 791 = 0
+ 792 = 0
+ 793 = 0
+ 796 = 0
+ 798 = 0
+ 821 = 0
+ 823 = 0
+ 871 = 0
+ 872 = 0
+ 876 = 0
+ 877 = 0
+ 900 = 0
+ 902 = 0
+ 905 = 0
+ 907 = 0
+ 930 = 0
+ 931 = 0
+ 932 = 0
+ 935 = 0
+ 936 = 0
+ 937 = 0
+ 980 = 0
+ 981 = 0
+ 998 = 0
+ 1000 = 0
+ 1017 = 0
+ 1018 = 0
+ 1019 = 0
+ 1036 = 0
+ 1037 = 0
+ 1038 = 0
+ 1041 = 0
+ 1043 = 0
+ 1047 = 0
+ 1048 = 0
+ 1084 = 0
+ 1086 = 0
+ 1115 = 0
+ 1116 = 0
+ 1163 = 0
+ 1164 = 0
+ 1165 = 0
+ 1168 = 0
+ 1170 = 0
+ 1174 = 0
+ 1175 = 0
+ 1211 = 0
+ 1213 = 0
+ 1242 = 0
+ 1243 = 0
+ 1290 = 0
+ 1292 = 0
+ 1320 = 0
+ 1321 = 0
+ 1322 = 0
+ 1326 = 0
+ 1327 = 0
+ 1370 = 0
+ 1371 = 0
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+ 1817 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=4
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 6 = 0
+ 7 = 0
+ 8 = 0
+ 11 = 0
+ 12 = 0
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+ 16 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(2)-FE_Q<3>(1)^3-FE_Q<3>(2)], case=5
+ 1 = 0
+ 2 = 0
+ 3 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=0
+ 2 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=1
+ 2 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=2
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=3
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=4
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(3)-FE_Q<3>(2)^3-FE_Q<3>(3)], case=5
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(4)-FE_Q<3>(3)^3-FE_Q<3>(4)], case=0
+ 2 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(4)-FE_Q<3>(3)^3-FE_Q<3>(4)], case=1
+ 2 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(4)-FE_Q<3>(3)^3-FE_Q<3>(4)], case=2
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(4)-FE_Q<3>(3)^3-FE_Q<3>(4)], case=3
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(4)-FE_Q<3>(3)^3-FE_Q<3>(4)], case=4
+ 1 = 0
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+DEAL::FE=FESystem<3>[FE_Q<3>(4)-FE_Q<3>(3)^3-FE_Q<3>(4)], case=5
+ 1 = 0
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+ 8421 = 0
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+ 12188 = 0
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+ 14282 = 0
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+ 14407 = 0
+ 14415 = 0
+ 14408 = 0
+ 14416 = 0
+ 14409 = 0
+ 14417 = 0
+ 14410 = 0
+ 14418 = 0
+ 14437 = 0
+ 14441 = 0
+ 14438 = 0
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+ 14443 = 0
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+ 14556 = 0
+ 14558 = 0
+ 14560 = 0
+ 14557 = 0
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+ 14956 = 0
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+ 14964 = 0
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+ 14965 = 0
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+ 14990 = 0
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+ 14991 = 0
+ 15008 = 0
+ 15012 = 0
+ 15009 = 0
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+ 15010 = 0
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+ 15011 = 0
+ 15015 = 0
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+ 15166 = 0
+ 15183 = 0
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+ 15195 = 0
+ 15199 = 0
+ 15196 = 0
+ 15200 = 0
+ 15243 = 0
+ 15251 = 0
+ 15244 = 0
+ 15252 = 0
+ 15245 = 0
+ 15253 = 0
+ 15246 = 0
+ 15254 = 0
+ 15373 = 0
+ 15374 = 0
+ 15375 = 0
+ 15382 = 0
+ 15384 = 0
+ 15383 = 0
+ 15385 = 0
+ 15392 = 0
+ 15396 = 0
+ 15393 = 0
+ 15397 = 0
+ 15404 = 0
+ 15406 = 0
+ 15408 = 0
+ 15405 = 0
+ 15407 = 0
+ 15409 = 0
+ 15426 = 0
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+ 15452 = 0
+ 15460 = 0
+ 15453 = 0
+ 15461 = 0
+ 15454 = 0
+ 15462 = 0
+ 15455 = 0
+ 15463 = 0
+ 15582 = 0
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+ 15591 = 0
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+ 15592 = 0
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+ 15603 = 0
+ 15602 = 0
+ 15604 = 0
+ 15691 = 0
+ 15695 = 0
+ 15692 = 0
+ 15696 = 0
+ 15693 = 0
+ 15697 = 0
+ 15694 = 0
+ 15698 = 0
+ 15791 = 0
+ 15792 = 0
+ 15793 = 0
+ 15798 = 0
+ 15800 = 0
+ 15802 = 0
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+ 15803 = 0
+ 15810 = 0
+ 15812 = 0
+ 15811 = 0
+ 15813 = 0
+ 15824 = 0
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+ 15825 = 0
+ 15827 = 0
+ 15844 = 0
+ 15848 = 0
+ 15845 = 0
+ 15849 = 0
+ 15846 = 0
+ 15850 = 0
+ 15847 = 0
+ 15851 = 0
+ 15900 = 0
+ 15904 = 0
+ 15901 = 0
+ 15905 = 0
+ 15902 = 0
+ 15906 = 0
+ 15903 = 0
+ 15907 = 0
+ 16000 = 0
+ 16001 = 0
+ 16002 = 0
+ 16007 = 0
+ 16009 = 0
+ 16008 = 0
+ 16010 = 0
+ 16019 = 0
+ 16021 = 0
+ 16023 = 0
+ 16020 = 0
+ 16022 = 0
+ 16024 = 0
+ 16031 = 0
+ 16035 = 0
+ 16032 = 0
+ 16036 = 0
+ 16079 = 0
+ 16087 = 0
+ 16080 = 0
+ 16088 = 0
+ 16081 = 0
+ 16089 = 0
+ 16082 = 0
+ 16090 = 0
+ 16109 = 0
+ 16113 = 0
+ 16110 = 0
+ 16114 = 0
+ 16111 = 0
+ 16115 = 0
+ 16112 = 0
+ 16116 = 0
+ 16209 = 0
+ 16210 = 0
+ 16211 = 0
+ 16216 = 0
+ 16218 = 0
+ 16220 = 0
+ 16217 = 0
+ 16219 = 0
+ 16221 = 0
+ 16228 = 0
+ 16230 = 0
+ 16232 = 0
+ 16229 = 0
+ 16231 = 0
+ 16233 = 0
+ 16240 = 0
+ 16242 = 0
+ 16244 = 0
+ 16241 = 0
+ 16243 = 0
+ 16245 = 0
+ 16262 = 0
+ 16266 = 0
+ 16263 = 0
+ 16267 = 0
+ 16264 = 0
+ 16268 = 0
+ 16265 = 0
+ 16269 = 0
+ 16288 = 0
+ 16296 = 0
+ 16289 = 0
+ 16297 = 0
+ 16290 = 0
+ 16298 = 0
+ 16291 = 0
+ 16299 = 0
+ 16318 = 0
+ 16322 = 0
+ 16319 = 0
+ 16323 = 0
+ 16320 = 0
+ 16324 = 0
+ 16321 = 0
+ 16325 = 0
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2007 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// like normal_flux_01 but check on a hyper_sphere geometry
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria_boundary_lib.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/mapping_q1.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <fstream>
+
+
+template<int dim>
+void test (const Triangulation<dim> &tr,
+ const FiniteElement<dim> &fe)
+{
+ DoFHandler<dim> dof(tr);
+ dof.distribute_dofs(fe);
+
+ deallog << "FE=" << fe.get_name()
+ << std::endl;
+
+ std::set<types::boundary_id> boundary_ids;
+ boundary_ids.insert (0);
+
+ ConstraintMatrix cm;
+ VectorTools::compute_normal_flux_constraints (dof, 0, boundary_ids, cm);
+
+ cm.print (deallog.get_file_stream ());
+}
+
+
+
+template<int dim>
+void test_hyper_sphere()
+{
+ Triangulation<dim> tr;
+ GridGenerator::hyper_ball(tr);
+
+ static const HyperBallBoundary<dim> boundary;
+ tr.set_boundary (0, boundary);
+
+ tr.refine_global(2);
+
+ for (unsigned int degree=1; degree<4; ++degree)
+ {
+ FESystem<dim> fe (FE_Q<dim>(degree), dim);
+ test(tr, fe);
+ }
+}
+
+
+int main()
+{
+ std::ofstream logfile ("normal_flux_03/output");
+ deallog << std::setprecision (2);
+
+ deallog.attach(logfile);
+ deallog.depth_console (0);
+ deallog.threshold_double(1.e-12);
+
+ test_hyper_sphere<2>();
+ test_hyper_sphere<3>();
+}
--- /dev/null
+
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2]
+ 0 1: 1.00000
+ 2 3: 0.414214
+ 8 = 0
+ 18 19: -0.414214
+ 22 23: -1.00000
+ 51 50: 0.414214
+ 57 = 0
+ 71 70: -0.414214
+ 76 77: -1.00000
+ 123 122: -0.414214
+ 127 = 0
+ 135 134: 0.414214
+ 138 139: 1.00000
+ 154 155: -0.414214
+ 160 = 0
+ 170 171: 0.414214
+DEAL::FE=FESystem<2>[FE_Q<2>(2)^2]
+ 0 1: 1.00000
+ 2 3: 0.414214
+ 12 13: 0.668179
+ 18 = 0
+ 24 25: 0.198912
+ 50 51: -0.414214
+ 56 57: -0.198912
+ 62 63: -1.00000
+ 68 69: -0.668179
+ 163 162: 0.414214
+ 167 166: 0.668179
+ 183 = 0
+ 187 186: 0.198912
+ 235 234: -0.414214
+ 239 238: -0.198912
+ 254 255: -1.00000
+ 259 258: -0.668179
+ 435 434: -0.414214
+ 441 440: -0.668179
+ 447 = 0
+ 453 452: -0.198912
+ 475 474: 0.414214
+ 481 480: 0.198912
+ 486 487: 1.00000
+ 493 492: 0.668179
+ 562 563: -0.414214
+ 566 567: -0.668179
+ 582 = 0
+ 586 587: -0.198912
+ 626 627: 0.414214
+ 630 631: 0.198912
+ 646 647: 0.668179
+DEAL::FE=FESystem<2>[FE_Q<2>(3)^2]
+ 0 1: 1.00000
+ 2 3: 0.414214
+ 16 18: 0.768531
+ 17 19: 0.576341
+ 32 = 0
+ 40 42: 0.268761
+ 41 43: 0.130882
+ 98 99: -0.414214
+ 106 108: -0.130882
+ 107 109: -0.268761
+ 122 123: -1.00000
+ 130 132: -0.576341
+ 131 133: -0.768531
+ 339 338: 0.414214
+ 344 342: 0.768531
+ 345 343: 0.576341
+ 381 = 0
+ 386 384: 0.268761
+ 387 385: 0.130882
+ 495 494: -0.414214
+ 500 498: -0.130882
+ 501 499: -0.268761
+ 536 537: -1.00000
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+ 543 541: -0.768531
+ 939 938: -0.414214
+ 948 946: -0.768531
+ 949 947: -0.576341
+ 963 = 0
+ 972 970: -0.268761
+ 973 971: -0.130882
+ 1023 1022: 0.414214
+ 1032 1030: 0.130882
+ 1033 1031: 0.268761
+ 1046 1047: 1.00000
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+ 1057 1055: 0.768531
+ 1226 1227: -0.414214
+ 1230 1232: -0.768531
+ 1231 1233: -0.576341
+ 1268 = 0
+ 1272 1274: -0.268761
+ 1273 1275: -0.130882
+ 1370 1371: 0.414214
+ 1374 1376: 0.130882
+ 1375 1377: 0.268761
+ 1412 1414: 0.576341
+ 1413 1415: 0.768531
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3]
+ 375 377: 1.00000
+ 376 377: 1.00000
+ 378 380: 0.449490
+ 379 380: 1.00000
+ 381 383: 1.00000
+ 382 383: 0.449490
+ 384 386: 0.427330
+ 385 386: 0.427330
+ 399 = 0
+ 400 401: 1.00000
+ 402 = 0
+ 403 404: 0.414214
+ 411 413: 1.00000
+ 412 = 0
+ 414 416: 0.414214
+ 415 = 0
+ 423 = 0
+ 424 = 0
+ 456 458: -0.449490
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+ 460 461: 0.427330
+ 468 470: -1.00000
+ 469 470: 1.00000
+ 471 473: -1.00000
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+ 480 482: -0.414214
+ 481 = 0
+ 486 488: -1.00000
+ 487 = 0
+ 510 512: 1.00000
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+ 513 515: 0.427330
+ 514 515: -0.427330
+ 522 = 0
+ 523 524: -0.414214
+ 528 530: 1.00000
+ 529 530: -1.00000
+ 531 533: 0.449490
+ 532 533: -1.00000
+ 540 = 0
+ 541 542: -1.00000
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+ 565 566: -0.427330
+ 570 572: -1.00000
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+ 576 578: -0.449490
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+ 675 676: -1.00000
+ 677 676: 0.449490
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+ 680 678: -0.427330
+ 688 = 0
+ 689 687: -0.414214
+ 702 703: -1.00000
+ 704 = 0
+ 706 705: -0.414214
+ 707 = 0
+ 715 = 0
+ 716 = 0
+ 730 729: 0.427330
+ 731 729: -0.427330
+ 735 736: 1.00000
+ 737 736: -0.449490
+ 748 747: 0.414214
+ 749 = 0
+ 753 754: 1.00000
+ 755 = 0
+ 795 796: -1.00000
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+ 799 798: -0.427330
+ 800 798: 0.427330
+ 808 = 0
+ 809 807: 0.414214
+ 822 824: 1.00000
+ 823 824: -1.00000
+ 825 827: 1.00000
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+ 834 836: 1.00000
+ 835 = 0
+ 850 849: 0.427330
+ 851 849: 0.427330
+ 855 856: 1.00000
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+ 867 869: 1.00000
+ 868 869: 0.449490
+ 873 875: 1.00000
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+ 915 917: -1.00000
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+ 927 929: -1.00000
+ 928 929: -0.449490
+ 930 932: -0.427330
+ 931 932: -0.427330
+ 939 = 0
+ 940 941: -1.00000
+ 945 = 0
+ 946 947: -0.414214
+ 969 971: -1.00000
+ 970 = 0
+ 972 974: -0.414214
+ 973 = 0
+ 981 = 0
+ 982 = 0
+ 996 998: 0.449490
+ 997 998: -1.00000
+ 1002 1004: 0.427330
+ 1003 1004: -0.427330
+ 1014 1016: 0.414214
+ 1015 = 0
+ 1059 1061: -1.00000
+ 1060 1061: 0.449490
+ 1062 1064: -0.427330
+ 1063 1064: 0.427330
+ 1071 = 0
+ 1072 1073: 0.414214
+ 1086 1088: -1.00000
+ 1087 1088: 1.00000
+ 1089 1091: -0.449490
+ 1090 1091: 1.00000
+ 1098 = 0
+ 1099 1100: 1.00000
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+ 1122 1124: 0.449490
+ 1123 1124: 1.00000
+ 1155 1156: 1.00000
+ 1157 1156: 0.449490
+ 1162 1161: 0.427330
+ 1163 1161: 0.427330
+ 1174 = 0
+ 1175 1173: 0.414214
+ 1182 1183: 1.00000
+ 1184 = 0
+ 1189 1188: 0.414214
+ 1190 = 0
+ 1201 = 0
+ 1202 = 0
+ 1228 1227: -0.427330
+ 1229 1227: 0.427330
+ 1236 1237: -1.00000
+ 1238 1237: -0.449490
+ 1246 1245: -0.414214
+ 1247 = 0
+ 1254 1255: -1.00000
+ 1256 = 0
+ 1275 1276: 1.00000
+ 1277 1276: -0.449490
+ 1282 1281: 0.427330
+ 1283 1281: -0.427330
+ 1294 = 0
+ 1295 1293: -0.414214
+ 1312 1311: -0.427330
+ 1313 1311: -0.427330
+ 1320 1321: -1.00000
+ 1322 1321: 0.449490
+ 1335 1336: 0.427330
+ 1337 1336: 0.427330
+ 1341 = 0
+ 1343 1342: 0.414214
+ 1353 1354: 0.414214
+ 1355 = 0
+ 1359 = 0
+ 1361 = 0
+ 1371 1372: -0.427330
+ 1373 1372: 0.427330
+ 1380 1381: -0.414214
+ 1382 = 0
+ 1407 1408: 0.427330
+ 1409 1408: -0.427330
+ 1413 = 0
+ 1415 1414: -0.414214
+ 1425 1426: -0.427330
+ 1427 1426: -0.427330
+ 1443 1444: -0.427330
+ 1445 1444: -0.427330
+ 1452 = 0
+ 1454 1453: -0.414214
+ 1461 1462: -0.414214
+ 1463 = 0
+ 1470 = 0
+ 1472 = 0
+ 1491 1492: 0.427330
+ 1493 1492: -0.427330
+ 1500 1501: 0.414214
+ 1502 = 0
+ 1515 1516: -0.427330
+ 1517 1516: 0.427330
+ 1524 = 0
+ 1526 1525: 0.414214
+ 1539 1540: 0.427330
+ 1541 1540: 0.427330
+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3]
+ 2187 2189: 1.00000
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+ 2197 2198: 0.427330
+ 2211 2213: 1.00000
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+ 2215 2216: 0.679605
+ 2217 2219: 0.703508
+ 2218 2219: 1.00000
+ 2220 2222: 0.679605
+ 2221 2222: 0.437092
+ 2259 2261: 0.690360
+ 2260 2261: 0.690360
+ 2268 = 0
+ 2269 2270: 1.00000
+ 2271 = 0
+ 2272 2273: 0.414214
+ 2280 = 0
+ 2281 2282: 0.668179
+ 2283 2285: 0.219339
+ 2284 2285: 1.00000
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+ 2313 2315: 0.211545
+ 2314 2315: 0.673709
+ 2322 2324: 1.00000
+ 2323 = 0
+ 2325 2327: 0.414214
+ 2326 = 0
+ 2334 2336: 1.00000
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+ 2337 2339: 0.420521
+ 2338 2339: 0.205498
+ 2340 2342: 0.668179
+ 2341 = 0
+ 2367 2369: 0.673709
+ 2368 2369: 0.211545
+ 2376 = 0
+ 2377 = 0
+ 2382 = 0
+ 2383 2384: 0.198912
+ 2385 2387: 0.198912
+ 2386 = 0
+ 2403 2405: 0.202077
+ 2404 2405: 0.202077
+ 2562 2564: -0.449490
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+ 2616 2618: -1.00000
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+ 2661 2663: -0.690360
+ 2662 2663: 0.690360
+ 2670 2672: -0.414214
+ 2671 = 0
+ 2676 2678: -0.420521
+ 2677 2678: 0.205498
+ 2679 2681: -0.198912
+ 2680 = 0
+ 2697 2699: -0.202077
+ 2698 2699: 0.202077
+ 2706 2708: -1.00000
+ 2707 = 0
+ 2712 2714: -1.00000
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+ 2715 2717: -0.668179
+ 2716 = 0
+ 2733 2735: -0.673709
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+ 2862 2864: 1.00000
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+ 2907 2909: 0.673709
+ 2908 2909: -0.211545
+ 2916 = 0
+ 2917 2918: -0.414214
+ 2922 = 0
+ 2923 2924: -0.198912
+ 2925 2927: 0.205498
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+ 2943 2945: 0.202077
+ 2944 2945: -0.202077
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+ 2971 2972: -1.00000
+ 2997 2999: 0.690360
+ 2998 2999: -0.690360
+ 3006 = 0
+ 3007 3008: -1.00000
+ 3012 = 0
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+ 4175 4173: -0.690360
+ 4186 = 0
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+ 4201 = 0
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+ 4281 4282: -1.00000
+ 4283 = 0
+ 4285 4284: -0.414214
+ 4286 = 0
+ 4300 4299: -0.668179
+ 4301 = 0
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+ 4325 4323: -0.211545
+ 4336 = 0
+ 4337 = 0
+ 4345 4344: -0.198912
+ 4346 = 0
+ 4351 = 0
+ 4352 4350: -0.198912
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+ 4493 4491: -0.690360
+ 4552 4551: 0.414214
+ 4553 = 0
+ 4561 4560: 0.198912
+ 4562 = 0
+ 4567 4566: 0.420521
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+ 4577 4575: -0.202077
+ 4587 4588: 1.00000
+ 4589 = 0
+ 4597 4596: 0.668179
+ 4598 = 0
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+ 5039 5037: 0.211545
+ 5050 = 0
+ 5051 5049: 0.414214
+ 5059 5058: -0.205498
+ 5060 5058: 0.420521
+ 5065 = 0
+ 5066 5064: 0.198912
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+ 5145 5147: 1.00000
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+ 5189 5187: 0.690360
+ 5199 5201: 1.00000
+ 5200 = 0
+ 5208 5210: 1.00000
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+ 5215 = 0
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+ 5925 5927: -0.690360
+ 5926 5927: -0.690360
+ 5940 = 0
+ 5941 5942: -1.00000
+ 5946 = 0
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+ 5956 5957: -1.00000
+ 5964 5966: -0.205498
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+ 5970 = 0
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+ 6084 6086: -1.00000
+ 6085 = 0
+ 6087 6089: -0.414214
+ 6088 = 0
+ 6102 6104: -0.668179
+ 6103 = 0
+ 6108 6110: -1.00000
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+ 6127 6128: -0.211545
+ 6138 = 0
+ 6139 = 0
+ 6147 6149: -0.198912
+ 6148 = 0
+ 6153 = 0
+ 6154 6155: -0.198912
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+ 6369 6371: 0.414214
+ 6370 = 0
+ 6378 6380: 0.198912
+ 6379 = 0
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+ 6393 6395: 0.202077
+ 6394 6395: -0.202077
+ 6405 6407: 0.668179
+ 6406 = 0
+ 6411 6413: 0.673709
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+ 6819 6821: -1.00000
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+ 6862 6863: 0.211545
+ 6873 = 0
+ 6874 6875: 0.414214
+ 6882 6884: -0.205498
+ 6883 6884: 0.420521
+ 6888 = 0
+ 6889 6890: 0.198912
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+ 6969 6971: -1.00000
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+ 7011 7013: -0.690360
+ 7012 7013: 0.690360
+ 7023 = 0
+ 7024 7025: 1.00000
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+ 7033 7034: 1.00000
+ 7038 = 0
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+ 7625 7623: 0.690360
+ 7678 = 0
+ 7679 7677: 0.414214
+ 7684 7683: 0.205498
+ 7685 7683: 0.420521
+ 7693 = 0
+ 7694 7692: 0.668179
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+ 7737 7738: 1.00000
+ 7739 = 0
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+ 7745 = 0
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+ 7751 = 0
+ 7761 7762: 1.00000
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+ 7828 = 0
+ 7829 = 0
+ 7834 7833: 0.198912
+ 7835 = 0
+ 7843 = 0
+ 7844 7842: 0.198912
+ 7849 7848: 0.202077
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+ 8150 8148: 0.690360
+ 8188 8187: -0.414214
+ 8189 = 0
+ 8194 8193: -0.198912
+ 8195 = 0
+ 8203 8202: -0.420521
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+ 8210 8208: 0.202077
+ 8247 8248: -1.00000
+ 8249 = 0
+ 8254 8253: -0.668179
+ 8255 = 0
+ 8262 8263: -1.00000
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+ 8542 = 0
+ 8543 8541: -0.414214
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+ 8557 = 0
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+ 8614 8613: 0.690360
+ 8615 8613: -0.690360
+ 8647 = 0
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+ 9114 9115: 0.437092
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+ 9125 9124: 0.690360
+ 9135 = 0
+ 9137 9136: 0.414214
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+ 9150 = 0
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+ 9219 9220: 0.414214
+ 9221 = 0
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+ 9245 9244: 0.211545
+ 9255 = 0
+ 9257 = 0
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+ 9266 = 0
+ 9270 = 0
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+ 9429 9430: -0.414214
+ 9431 = 0
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+ 9455 9454: 0.202077
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+ 9467 = 0
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+ 9807 = 0
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+ 9822 = 0
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+ 9902 9901: -0.690360
+ 9909 = 0
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+ 10298 10297: -0.690360
+ 10335 = 0
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+ 10350 = 0
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+ 10395 10396: -0.414214
+ 10397 = 0
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+ 10403 = 0
+ 10410 10411: -0.420521
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+ 10455 = 0
+ 10457 = 0
+ 10461 10462: -0.198912
+ 10463 = 0
+ 10470 = 0
+ 10472 10471: -0.198912
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+ 10749 10750: 0.414214
+ 10751 = 0
+ 10755 10756: 0.198912
+ 10757 = 0
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+ 10809 10810: 0.668179
+ 10811 = 0
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+ 11007 = 0
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+ 11022 = 0
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+ 11075 11074: 0.690360
+ 11097 = 0
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+ 11357 11356: 0.690360
+DEAL::FE=FESystem<3>[FE_Q<3>(3)^3]
+ 6591 6593: 1.00000
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+ 6742 6746: 0.596427
+ 6783 = 0
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+ 6796 = 0
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+ 6927 6929: 1.00000
+ 6928 = 0
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+ 6931 = 0
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+ 6953 = 0
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+ 7023 7031: 0.774446
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+ 7071 = 0
+ 7072 = 0
+ 7077 = 0
+ 7079 7081: 0.268761
+ 7078 = 0
+ 7080 7082: 0.130882
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+ 7085 = 0
+ 7084 7088: 0.130882
+ 7086 = 0
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+ 7909 = 0
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+ 7922 = 0
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+ 8016 8018: -1.00000
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+ 8646 = 0
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+ 8898 = 0
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+ 12820 = 0
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+ 12845 = 0
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+ 12846 = 0
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+ 13116 13117: -1.00000
+ 13118 = 0
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+ 13121 = 0
+ 13142 13140: -0.768531
+ 13144 = 0
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+ 13145 = 0
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+ 13261 = 0
+ 13262 = 0
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+ 13276 = 0
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+ 13277 = 0
+ 13286 = 0
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+ 13287 = 0
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+ 13937 = 0
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+ 13952 = 0
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+ 14043 14044: 1.00000
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+ 15628 = 0
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+ 15653 = 0
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+ 15654 = 0
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+ 16068 16070: 1.00000
+ 16069 = 0
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+ 16094 = 0
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+ 16095 = 0
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+ 18483 = 0
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+ 18531 = 0
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+ 18880 = 0
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+ 19023 = 0
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+ 19038 = 0
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+ 19741 = 0
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+ 19850 = 0
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+ 21459 = 0
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+ 21483 = 0
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+ 21900 = 0
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+ 21924 = 0
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+ 23973 23969: 0.783313
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+ 23974 23970: 0.596427
+ 23978 23970: 0.596427
+ 24160 = 0
+ 24161 24159: 0.414214
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+ 24168 24166: 0.135275
+ 24170 24166: 0.418366
+ 24185 = 0
+ 24187 24183: 0.768531
+ 24186 = 0
+ 24188 24184: 0.576341
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+ 24348 24349: 1.00000
+ 24350 = 0
+ 24355 24354: 0.414214
+ 24356 = 0
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+ 24364 = 0
+ 24363 24361: 0.576341
+ 24365 = 0
+ 24384 24386: 1.00000
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+ 24415 24411: 0.580402
+ 24419 24411: 0.138002
+ 24601 = 0
+ 24602 = 0
+ 24608 24606: 0.268761
+ 24610 = 0
+ 24609 24607: 0.130882
+ 24611 = 0
+ 24626 = 0
+ 24628 24624: 0.268761
+ 24627 = 0
+ 24629 24625: 0.130882
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+ 25798 25797: -0.414214
+ 25799 = 0
+ 25805 25803: -0.130882
+ 25807 = 0
+ 25806 25804: -0.268761
+ 25808 = 0
+ 25823 25821: -0.422732
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+ 25986 25987: -1.00000
+ 25988 = 0
+ 25994 25992: -0.576341
+ 25996 = 0
+ 25995 25993: -0.768531
+ 25997 = 0
+ 26010 26012: -1.00000
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+ 26968 = 0
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+ 26993 = 0
+ 26995 26991: -0.130882
+ 26994 = 0
+ 26996 26992: -0.268761
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+ 27187 27183: 0.604838
+ 27191 27183: -0.783313
+ 27326 = 0
+ 27328 27324: -0.576341
+ 27327 = 0
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+ 29105 29109: 0.604838
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+ 29106 29110: 0.596427
+ 29114 29110: 0.596427
+ 29163 = 0
+ 29165 29164: 0.414214
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+ 29187 = 0
+ 29191 29189: 0.768531
+ 29188 = 0
+ 29192 29190: 0.576341
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+ 29433 29434: 0.414214
+ 29435 = 0
+ 29445 29447: 0.768531
+ 29449 = 0
+ 29446 29448: 0.576341
+ 29450 = 0
+ 29457 29459: 0.422732
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+ 29541 = 0
+ 29543 = 0
+ 29553 29555: 0.268761
+ 29557 = 0
+ 29554 29556: 0.130882
+ 29558 = 0
+ 29565 = 0
+ 29569 29567: 0.268761
+ 29566 = 0
+ 29570 29568: 0.130882
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+ 30126 30127: -0.414214
+ 30128 = 0
+ 30138 30140: -0.130882
+ 30142 = 0
+ 30139 30141: -0.268761
+ 30143 = 0
+ 30150 30152: -0.422732
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+ 30234 30236: -0.576341
+ 30238 = 0
+ 30235 30237: -0.768531
+ 30239 = 0
+ 30246 30250: -0.584650
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+ 31539 = 0
+ 31541 31540: -0.414214
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+ 31563 = 0
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+ 31564 = 0
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+ 31881 = 0
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+ 31882 = 0
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+ 33458 33454: -0.596427
+ 33600 = 0
+ 33602 33601: -0.414214
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+ 33624 = 0
+ 33628 33626: -0.768531
+ 33625 = 0
+ 33629 33627: -0.576341
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+ 33789 33790: -0.414214
+ 33791 = 0
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+ 33799 = 0
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+ 33800 = 0
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+ 33978 = 0
+ 33980 = 0
+ 33984 33986: -0.268761
+ 33988 = 0
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+ 33989 = 0
+ 34002 = 0
+ 34006 34004: -0.268761
+ 34003 = 0
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+ 35022 35023: 0.414214
+ 35024 = 0
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+ 35033 = 0
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+ 35211 35213: 0.576341
+ 35215 = 0
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+ 35216 = 0
+ 35223 35227: 0.584650
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+ 35797 35795: 0.440883
+ 35794 35796: -0.589099
+ 35798 35796: 0.433590
+ 35811 35813: -0.418366
+ 35815 35813: 0.135275
+ 35812 35814: -0.422732
+ 35816 35814: 0.277533
+ 35823 35827: -0.771431
+ 35831 35827: 0.141216
+ 35824 35828: -0.580402
+ 35832 35828: 0.138002
+ 35825 35829: -0.774446
+ 35833 35829: 0.288063
+ 35826 35830: -0.584650
+ 35834 35830: 0.282381
+ 35976 = 0
+ 35978 35977: 0.414214
+ 35982 35984: -0.277533
+ 35986 35984: 0.422732
+ 35983 35985: -0.135275
+ 35987 35985: 0.418366
+ 36000 = 0
+ 36004 36002: 0.130882
+ 36001 = 0
+ 36005 36003: 0.268761
+ 36012 36016: -0.271536
+ 36020 36016: 0.133733
+ 36013 36017: -0.132271
+ 36021 36017: 0.132271
+ 36014 36018: -0.274456
+ 36022 36018: 0.274456
+ 36015 36019: -0.133733
+ 36023 36019: 0.271536
+ 36165 36167: -0.433590
+ 36169 36167: 0.589099
+ 36166 36168: -0.440883
+ 36170 36168: 0.777585
+ 36177 36181: -0.783313
+ 36185 36181: 0.604838
+ 36178 36182: -0.596427
+ 36186 36182: 0.596427
+ 36179 36183: -0.789776
+ 36187 36183: 0.789776
+ 36180 36184: -0.604838
+ 36188 36184: 0.783313
+ 36291 = 0
+ 36295 36293: 0.576341
+ 36292 = 0
+ 36296 36294: 0.768531
+ 36303 36307: -0.282381
+ 36311 36307: 0.584650
+ 36304 36308: -0.138002
+ 36312 36308: 0.580402
+ 36305 36309: -0.288063
+ 36313 36309: 0.774446
+ 36306 36310: -0.141216
+ 36314 36310: 0.771431
+ 36867 36868: 0.427330
+ 36869 36868: 0.427330
+ 36873 36875: 0.135275
+ 36877 36875: 0.418366
+ 36874 36876: 0.277533
+ 36878 36876: 0.422732
+ 36891 36893: 0.418366
+ 36895 36893: 0.135275
+ 36892 36894: 0.422732
+ 36896 36894: 0.277533
+ 36903 36907: 0.132271
+ 36911 36907: 0.132271
+ 36904 36908: 0.271536
+ 36912 36908: 0.133733
+ 36905 36909: 0.133733
+ 36913 36909: 0.271536
+ 36906 36910: 0.274456
+ 36914 36910: 0.274456
+ 37056 37058: 0.589099
+ 37060 37058: 0.433590
+ 37057 37059: 0.777585
+ 37061 37059: 0.440883
+ 37068 37072: 0.580402
+ 37076 37072: 0.138002
+ 37069 37073: 0.771431
+ 37077 37073: 0.141216
+ 37070 37074: 0.584650
+ 37078 37074: 0.282381
+ 37071 37075: 0.774446
+ 37079 37075: 0.288063
+ 37182 37184: 0.433590
+ 37186 37184: 0.589099
+ 37183 37185: 0.440883
+ 37187 37185: 0.777585
+ 37194 37198: 0.138002
+ 37202 37198: 0.580402
+ 37195 37199: 0.282381
+ 37203 37199: 0.584650
+ 37196 37200: 0.141216
+ 37204 37200: 0.771431
+ 37197 37201: 0.288063
+ 37205 37201: 0.774446
+ 37308 37312: 0.596427
+ 37316 37312: 0.596427
+ 37309 37313: 0.783313
+ 37317 37313: 0.604838
+ 37310 37314: 0.604838
+ 37318 37314: 0.783313
+ 37311 37315: 0.789776
+ 37319 37315: 0.789776
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/mapping_q1.h>
+#include <deal.II/hp/fe_collection.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <fstream>
+
+
+template<int dim>
+void test (const Triangulation<dim> &tr,
+ const hp::FECollection<dim> &fe)
+{
+ hp::DoFHandler<dim> dof(tr);
+ for (typename hp::DoFHandler<dim>::active_cell_iterator
+ cell = dof.begin_active(); cell != dof.end(); ++cell)
+ cell->set_active_fe_index (cell->index() % 2);
+ dof.distribute_dofs(fe);
+
+ for (unsigned int i=0; i<GeometryInfo<dim>::faces_per_cell; ++i)
+ {
+ deallog << "FE=" << fe[0].get_name()
+ << ", case=" << i
+ << std::endl;
+
+ std::set<types::boundary_id> boundary_ids;
+ for (unsigned int j=0; j<=i; ++j)
+ boundary_ids.insert (j);
+
+ ConstraintMatrix cm;
+ VectorTools::compute_normal_flux_constraints (dof, 0, boundary_ids, cm);
+
+ cm.print (deallog.get_file_stream ());
+ }
+}
+
+
+template<int dim>
+void test_hyper_cube()
+{
+ Triangulation<dim> tr;
+ GridGenerator::hyper_cube(tr);
+
+ for (unsigned int i=0; i<GeometryInfo<dim>::faces_per_cell; ++i)
+ tr.begin_active()->face(i)->set_boundary_indicator (i);
+
+ tr.refine_global(2);
+
+ for (unsigned int degree=1; degree<2; ++degree)
+ {
+ hp::FECollection<dim> fe;
+ for (unsigned int deg=degree; deg<degree+2; ++deg)
+ fe.push_back (FESystem<dim> (FE_Q<dim>(deg), dim));
+ test(tr, fe);
+ }
+}
+
+
+int main()
+{
+ std::ofstream logfile ("normal_flux_hp_01/output");
+ deallog << std::setprecision (2);
+ deallog << std::fixed;
+ deallog.attach(logfile);
+ deallog.depth_console (0);
+ deallog.threshold_double(1.e-12);
+
+ test_hyper_cube<2>();
+ test_hyper_cube<3>();
+}
--- /dev/null
+
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=0
+ 1 = 0
+ 5 = 0
+ 19 = 0
+ 67 = 0
+ 79 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=1
+ 1 = 0
+ 5 = 0
+ 19 = 0
+ 39 = 0
+ 41 = 0
+ 45 = 0
+ 57 = 0
+ 61 = 0
+ 67 = 0
+ 79 = 0
+ 95 = 0
+ 99 = 0
+ 109 = 0
+ 113 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=2
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 12 = 0
+ 19 = 0
+ 30 = 0
+ 32 = 0
+ 38 = 0
+ 39 = 0
+ 41 = 0
+ 45 = 0
+ 46 = 0
+ 57 = 0
+ 61 = 0
+ 67 = 0
+ 79 = 0
+ 95 = 0
+ 99 = 0
+ 109 = 0
+ 113 = 0
+DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=3
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 5 = 0
+ 12 = 0
+ 19 = 0
+ 30 = 0
+ 32 = 0
+ 38 = 0
+ 39 = 0
+ 41 = 0
+ 45 = 0
+ 46 = 0
+ 57 = 0
+ 61 = 0
+ 67 = 0
+ 78 = 0
+ 79 = 0
+ 80 = 0
+ 86 = 0
+ 95 = 0
+ 99 = 0
+ 104 = 0
+ 106 = 0
+ 108 = 0
+ 109 = 0
+ 113 = 0
+ 114 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=0
+ 1 = 0
+ 2 = 0
+ 7 = 0
+ 8 = 0
+ 13 = 0
+ 14 = 0
+ 19 = 0
+ 20 = 0
+ 82 = 0
+ 83 = 0
+ 88 = 0
+ 89 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 190 = 0
+ 191 = 0
+ 478 = 0
+ 479 = 0
+ 484 = 0
+ 485 = 0
+ 532 = 0
+ 533 = 0
+ 538 = 0
+ 539 = 0
+ 586 = 0
+ 587 = 0
+ 622 = 0
+ 623 = 0
+ 856 = 0
+ 857 = 0
+ 862 = 0
+ 863 = 0
+ 910 = 0
+ 911 = 0
+ 946 = 0
+ 947 = 0
+ 952 = 0
+ 953 = 0
+ 1000 = 0
+ 1001 = 0
+ 1234 = 0
+ 1235 = 0
+ 1270 = 0
+ 1271 = 0
+ 1306 = 0
+ 1307 = 0
+ 1342 = 0
+ 1343 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=1
+ 1 = 0
+ 2 = 0
+ 7 = 0
+ 8 = 0
+ 13 = 0
+ 14 = 0
+ 19 = 0
+ 20 = 0
+ 82 = 0
+ 83 = 0
+ 88 = 0
+ 89 = 0
+ 136 = 0
+ 137 = 0
+ 142 = 0
+ 143 = 0
+ 190 = 0
+ 191 = 0
+ 250 = 0
+ 251 = 0
+ 253 = 0
+ 254 = 0
+ 256 = 0
+ 257 = 0
+ 259 = 0
+ 260 = 0
+ 265 = 0
+ 266 = 0
+ 277 = 0
+ 278 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 301 = 0
+ 302 = 0
+ 331 = 0
+ 332 = 0
+ 334 = 0
+ 335 = 0
+ 340 = 0
+ 341 = 0
+ 349 = 0
+ 350 = 0
+ 358 = 0
+ 359 = 0
+ 364 = 0
+ 365 = 0
+ 391 = 0
+ 392 = 0
+ 394 = 0
+ 395 = 0
+ 400 = 0
+ 401 = 0
+ 412 = 0
+ 413 = 0
+ 418 = 0
+ 419 = 0
+ 424 = 0
+ 425 = 0
+ 445 = 0
+ 446 = 0
+ 451 = 0
+ 452 = 0
+ 460 = 0
+ 461 = 0
+ 466 = 0
+ 467 = 0
+ 478 = 0
+ 479 = 0
+ 484 = 0
+ 485 = 0
+ 532 = 0
+ 533 = 0
+ 538 = 0
+ 539 = 0
+ 586 = 0
+ 587 = 0
+ 622 = 0
+ 623 = 0
+ 670 = 0
+ 671 = 0
+ 673 = 0
+ 674 = 0
+ 679 = 0
+ 680 = 0
+ 688 = 0
+ 689 = 0
+ 697 = 0
+ 698 = 0
+ 703 = 0
+ 704 = 0
+ 730 = 0
+ 731 = 0
+ 733 = 0
+ 734 = 0
+ 739 = 0
+ 740 = 0
+ 748 = 0
+ 749 = 0
+ 757 = 0
+ 758 = 0
+ 763 = 0
+ 764 = 0
+ 784 = 0
+ 785 = 0
+ 790 = 0
+ 791 = 0
+ 799 = 0
+ 800 = 0
+ 805 = 0
+ 806 = 0
+ 823 = 0
+ 824 = 0
+ 829 = 0
+ 830 = 0
+ 838 = 0
+ 839 = 0
+ 844 = 0
+ 845 = 0
+ 856 = 0
+ 857 = 0
+ 862 = 0
+ 863 = 0
+ 910 = 0
+ 911 = 0
+ 946 = 0
+ 947 = 0
+ 952 = 0
+ 953 = 0
+ 1000 = 0
+ 1001 = 0
+ 1048 = 0
+ 1049 = 0
+ 1051 = 0
+ 1052 = 0
+ 1057 = 0
+ 1058 = 0
+ 1069 = 0
+ 1070 = 0
+ 1075 = 0
+ 1076 = 0
+ 1081 = 0
+ 1082 = 0
+ 1102 = 0
+ 1103 = 0
+ 1108 = 0
+ 1109 = 0
+ 1117 = 0
+ 1118 = 0
+ 1123 = 0
+ 1124 = 0
+ 1147 = 0
+ 1148 = 0
+ 1150 = 0
+ 1151 = 0
+ 1156 = 0
+ 1157 = 0
+ 1168 = 0
+ 1169 = 0
+ 1174 = 0
+ 1175 = 0
+ 1180 = 0
+ 1181 = 0
+ 1201 = 0
+ 1202 = 0
+ 1207 = 0
+ 1208 = 0
+ 1216 = 0
+ 1217 = 0
+ 1222 = 0
+ 1223 = 0
+ 1234 = 0
+ 1235 = 0
+ 1270 = 0
+ 1271 = 0
+ 1306 = 0
+ 1307 = 0
+ 1342 = 0
+ 1343 = 0
+ 1384 = 0
+ 1385 = 0
+ 1390 = 0
+ 1391 = 0
+ 1399 = 0
+ 1400 = 0
+ 1405 = 0
+ 1406 = 0
+ 1423 = 0
+ 1424 = 0
+ 1429 = 0
+ 1430 = 0
+ 1438 = 0
+ 1439 = 0
+ 1444 = 0
+ 1445 = 0
+ 1462 = 0
+ 1463 = 0
+ 1468 = 0
+ 1469 = 0
+ 1477 = 0
+ 1478 = 0
+ 1483 = 0
+ 1484 = 0
+ 1501 = 0
+ 1502 = 0
+ 1507 = 0
+ 1508 = 0
+ 1516 = 0
+ 1517 = 0
+ 1522 = 0
+ 1523 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=2
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 5 = 0
+ 7 = 0
+ 8 = 0
+ 12 = 0
+ 13 = 0
+ 14 = 0
+ 15 = 0
+ 17 = 0
+ 19 = 0
+ 20 = 0
+ 30 = 0
+ 32 = 0
+ 42 = 0
+ 44 = 0
+ 48 = 0
+ 50 = 0
+ 51 = 0
+ 53 = 0
+ 66 = 0
+ 68 = 0
+ 82 = 0
+ 83 = 0
+ 88 = 0
+ 89 = 0
+ 135 = 0
+ 136 = 0
+ 137 = 0
+ 138 = 0
+ 140 = 0
+ 142 = 0
+ 143 = 0
+ 153 = 0
+ 155 = 0
+ 159 = 0
+ 161 = 0
+ 162 = 0
+ 164 = 0
+ 177 = 0
+ 179 = 0
+ 190 = 0
+ 191 = 0
+ 225 = 0
+ 227 = 0
+ 228 = 0
+ 230 = 0
+ 237 = 0
+ 239 = 0
+ 240 = 0
+ 242 = 0
+ 249 = 0
+ 250 = 0
+ 251 = 0
+ 253 = 0
+ 254 = 0
+ 255 = 0
+ 256 = 0
+ 257 = 0
+ 259 = 0
+ 260 = 0
+ 265 = 0
+ 266 = 0
+ 267 = 0
+ 269 = 0
+ 277 = 0
+ 278 = 0
+ 279 = 0
+ 281 = 0
+ 285 = 0
+ 287 = 0
+ 288 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 301 = 0
+ 302 = 0
+ 303 = 0
+ 305 = 0
+ 331 = 0
+ 332 = 0
+ 334 = 0
+ 335 = 0
+ 340 = 0
+ 341 = 0
+ 349 = 0
+ 350 = 0
+ 358 = 0
+ 359 = 0
+ 364 = 0
+ 365 = 0
+ 378 = 0
+ 380 = 0
+ 381 = 0
+ 383 = 0
+ 390 = 0
+ 391 = 0
+ 392 = 0
+ 394 = 0
+ 395 = 0
+ 400 = 0
+ 401 = 0
+ 402 = 0
+ 404 = 0
+ 408 = 0
+ 410 = 0
+ 411 = 0
+ 412 = 0
+ 413 = 0
+ 418 = 0
+ 419 = 0
+ 424 = 0
+ 425 = 0
+ 426 = 0
+ 428 = 0
+ 445 = 0
+ 446 = 0
+ 451 = 0
+ 452 = 0
+ 460 = 0
+ 461 = 0
+ 466 = 0
+ 467 = 0
+ 478 = 0
+ 479 = 0
+ 484 = 0
+ 485 = 0
+ 532 = 0
+ 533 = 0
+ 538 = 0
+ 539 = 0
+ 586 = 0
+ 587 = 0
+ 622 = 0
+ 623 = 0
+ 670 = 0
+ 671 = 0
+ 673 = 0
+ 674 = 0
+ 679 = 0
+ 680 = 0
+ 688 = 0
+ 689 = 0
+ 697 = 0
+ 698 = 0
+ 703 = 0
+ 704 = 0
+ 730 = 0
+ 731 = 0
+ 733 = 0
+ 734 = 0
+ 739 = 0
+ 740 = 0
+ 748 = 0
+ 749 = 0
+ 757 = 0
+ 758 = 0
+ 763 = 0
+ 764 = 0
+ 784 = 0
+ 785 = 0
+ 790 = 0
+ 791 = 0
+ 799 = 0
+ 800 = 0
+ 805 = 0
+ 806 = 0
+ 823 = 0
+ 824 = 0
+ 829 = 0
+ 830 = 0
+ 838 = 0
+ 839 = 0
+ 844 = 0
+ 845 = 0
+ 855 = 0
+ 856 = 0
+ 857 = 0
+ 858 = 0
+ 860 = 0
+ 862 = 0
+ 863 = 0
+ 873 = 0
+ 875 = 0
+ 879 = 0
+ 881 = 0
+ 882 = 0
+ 884 = 0
+ 897 = 0
+ 899 = 0
+ 910 = 0
+ 911 = 0
+ 945 = 0
+ 946 = 0
+ 947 = 0
+ 948 = 0
+ 950 = 0
+ 952 = 0
+ 953 = 0
+ 963 = 0
+ 965 = 0
+ 969 = 0
+ 971 = 0
+ 972 = 0
+ 974 = 0
+ 987 = 0
+ 989 = 0
+ 1000 = 0
+ 1001 = 0
+ 1035 = 0
+ 1037 = 0
+ 1038 = 0
+ 1040 = 0
+ 1047 = 0
+ 1048 = 0
+ 1049 = 0
+ 1051 = 0
+ 1052 = 0
+ 1057 = 0
+ 1058 = 0
+ 1059 = 0
+ 1061 = 0
+ 1065 = 0
+ 1067 = 0
+ 1068 = 0
+ 1069 = 0
+ 1070 = 0
+ 1075 = 0
+ 1076 = 0
+ 1081 = 0
+ 1082 = 0
+ 1083 = 0
+ 1085 = 0
+ 1102 = 0
+ 1103 = 0
+ 1108 = 0
+ 1109 = 0
+ 1117 = 0
+ 1118 = 0
+ 1123 = 0
+ 1124 = 0
+ 1134 = 0
+ 1136 = 0
+ 1137 = 0
+ 1139 = 0
+ 1146 = 0
+ 1147 = 0
+ 1148 = 0
+ 1150 = 0
+ 1151 = 0
+ 1156 = 0
+ 1157 = 0
+ 1158 = 0
+ 1160 = 0
+ 1164 = 0
+ 1166 = 0
+ 1167 = 0
+ 1168 = 0
+ 1169 = 0
+ 1174 = 0
+ 1175 = 0
+ 1180 = 0
+ 1181 = 0
+ 1182 = 0
+ 1184 = 0
+ 1201 = 0
+ 1202 = 0
+ 1207 = 0
+ 1208 = 0
+ 1216 = 0
+ 1217 = 0
+ 1222 = 0
+ 1223 = 0
+ 1234 = 0
+ 1235 = 0
+ 1270 = 0
+ 1271 = 0
+ 1306 = 0
+ 1307 = 0
+ 1342 = 0
+ 1343 = 0
+ 1384 = 0
+ 1385 = 0
+ 1390 = 0
+ 1391 = 0
+ 1399 = 0
+ 1400 = 0
+ 1405 = 0
+ 1406 = 0
+ 1423 = 0
+ 1424 = 0
+ 1429 = 0
+ 1430 = 0
+ 1438 = 0
+ 1439 = 0
+ 1444 = 0
+ 1445 = 0
+ 1462 = 0
+ 1463 = 0
+ 1468 = 0
+ 1469 = 0
+ 1477 = 0
+ 1478 = 0
+ 1483 = 0
+ 1484 = 0
+ 1501 = 0
+ 1502 = 0
+ 1507 = 0
+ 1508 = 0
+ 1516 = 0
+ 1517 = 0
+ 1522 = 0
+ 1523 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=3
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
+ 5 = 0
+ 7 = 0
+ 8 = 0
+ 12 = 0
+ 13 = 0
+ 14 = 0
+ 15 = 0
+ 17 = 0
+ 19 = 0
+ 20 = 0
+ 30 = 0
+ 32 = 0
+ 42 = 0
+ 44 = 0
+ 48 = 0
+ 50 = 0
+ 51 = 0
+ 53 = 0
+ 66 = 0
+ 68 = 0
+ 82 = 0
+ 83 = 0
+ 88 = 0
+ 89 = 0
+ 135 = 0
+ 136 = 0
+ 137 = 0
+ 138 = 0
+ 140 = 0
+ 142 = 0
+ 143 = 0
+ 153 = 0
+ 155 = 0
+ 159 = 0
+ 161 = 0
+ 162 = 0
+ 164 = 0
+ 177 = 0
+ 179 = 0
+ 190 = 0
+ 191 = 0
+ 225 = 0
+ 227 = 0
+ 228 = 0
+ 230 = 0
+ 237 = 0
+ 239 = 0
+ 240 = 0
+ 242 = 0
+ 249 = 0
+ 250 = 0
+ 251 = 0
+ 253 = 0
+ 254 = 0
+ 255 = 0
+ 256 = 0
+ 257 = 0
+ 259 = 0
+ 260 = 0
+ 265 = 0
+ 266 = 0
+ 267 = 0
+ 269 = 0
+ 277 = 0
+ 278 = 0
+ 279 = 0
+ 281 = 0
+ 285 = 0
+ 287 = 0
+ 288 = 0
+ 289 = 0
+ 290 = 0
+ 295 = 0
+ 296 = 0
+ 301 = 0
+ 302 = 0
+ 303 = 0
+ 305 = 0
+ 331 = 0
+ 332 = 0
+ 334 = 0
+ 335 = 0
+ 340 = 0
+ 341 = 0
+ 349 = 0
+ 350 = 0
+ 358 = 0
+ 359 = 0
+ 364 = 0
+ 365 = 0
+ 378 = 0
+ 380 = 0
+ 381 = 0
+ 383 = 0
+ 390 = 0
+ 391 = 0
+ 392 = 0
+ 394 = 0
+ 395 = 0
+ 400 = 0
+ 401 = 0
+ 402 = 0
+ 404 = 0
+ 408 = 0
+ 410 = 0
+ 411 = 0
+ 412 = 0
+ 413 = 0
+ 418 = 0
+ 419 = 0
+ 424 = 0
+ 425 = 0
+ 426 = 0
+ 428 = 0
+ 445 = 0
+ 446 = 0
+ 451 = 0
+ 452 = 0
+ 460 = 0
+ 461 = 0
+ 466 = 0
+ 467 = 0
+ 478 = 0
+ 479 = 0
+ 484 = 0
+ 485 = 0
+ 531 = 0
+ 532 = 0
+ 533 = 0
+ 534 = 0
+ 536 = 0
+ 537 = 0
+ 538 = 0
+ 539 = 0
+ 540 = 0
+ 542 = 0
+ 549 = 0
+ 551 = 0
+ 558 = 0
+ 560 = 0
+ 561 = 0
+ 563 = 0
+ 564 = 0
+ 566 = 0
+ 573 = 0
+ 575 = 0
+ 586 = 0
+ 587 = 0
+ 621 = 0
+ 622 = 0
+ 623 = 0
+ 624 = 0
+ 626 = 0
+ 633 = 0
+ 635 = 0
+ 636 = 0
+ 638 = 0
+ 639 = 0
+ 641 = 0
+ 648 = 0
+ 650 = 0
+ 670 = 0
+ 671 = 0
+ 673 = 0
+ 674 = 0
+ 679 = 0
+ 680 = 0
+ 688 = 0
+ 689 = 0
+ 697 = 0
+ 698 = 0
+ 703 = 0
+ 704 = 0
+ 717 = 0
+ 719 = 0
+ 720 = 0
+ 722 = 0
+ 723 = 0
+ 725 = 0
+ 726 = 0
+ 728 = 0
+ 729 = 0
+ 730 = 0
+ 731 = 0
+ 732 = 0
+ 733 = 0
+ 734 = 0
+ 739 = 0
+ 740 = 0
+ 741 = 0
+ 743 = 0
+ 748 = 0
+ 749 = 0
+ 750 = 0
+ 752 = 0
+ 753 = 0
+ 755 = 0
+ 756 = 0
+ 757 = 0
+ 758 = 0
+ 763 = 0
+ 764 = 0
+ 765 = 0
+ 767 = 0
+ 784 = 0
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+ 1526 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=4
+ 0 = 0
+ 1 = 0
+ 2 = 0
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+ 1526 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=5
+ 0 = 0
+ 1 = 0
+ 2 = 0
+ 3 = 0
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+ 1343 = 0
+ 1344 = 0
+ 1345 = 0
+ 1346 = 0
+ 1347 = 0
+ 1348 = 0
+ 1350 = 0
+ 1351 = 0
+ 1353 = 0
+ 1354 = 0
+ 1355 = 0
+ 1356 = 0
+ 1358 = 0
+ 1359 = 0
+ 1361 = 0
+ 1368 = 0
+ 1370 = 0
+ 1371 = 0
+ 1372 = 0
+ 1384 = 0
+ 1385 = 0
+ 1390 = 0
+ 1391 = 0
+ 1399 = 0
+ 1400 = 0
+ 1405 = 0
+ 1406 = 0
+ 1416 = 0
+ 1418 = 0
+ 1419 = 0
+ 1421 = 0
+ 1422 = 0
+ 1423 = 0
+ 1424 = 0
+ 1429 = 0
+ 1430 = 0
+ 1431 = 0
+ 1433 = 0
+ 1434 = 0
+ 1436 = 0
+ 1437 = 0
+ 1438 = 0
+ 1439 = 0
+ 1444 = 0
+ 1445 = 0
+ 1446 = 0
+ 1448 = 0
+ 1455 = 0
+ 1456 = 0
+ 1458 = 0
+ 1459 = 0
+ 1461 = 0
+ 1462 = 0
+ 1463 = 0
+ 1464 = 0
+ 1465 = 0
+ 1467 = 0
+ 1468 = 0
+ 1469 = 0
+ 1470 = 0
+ 1471 = 0
+ 1477 = 0
+ 1478 = 0
+ 1483 = 0
+ 1484 = 0
+ 1488 = 0
+ 1489 = 0
+ 1494 = 0
+ 1495 = 0
+ 1496 = 0
+ 1497 = 0
+ 1498 = 0
+ 1499 = 0
+ 1500 = 0
+ 1501 = 0
+ 1502 = 0
+ 1503 = 0
+ 1504 = 0
+ 1506 = 0
+ 1507 = 0
+ 1508 = 0
+ 1509 = 0
+ 1510 = 0
+ 1511 = 0
+ 1512 = 0
+ 1514 = 0
+ 1515 = 0
+ 1516 = 0
+ 1517 = 0
+ 1522 = 0
+ 1523 = 0
+ 1524 = 0
+ 1526 = 0
+ 1527 = 0
+ 1528 = 0
AssertThrow (total_volume > 0,
ExcEvaluationPointNotFound(evaluation_point));
- rhs.scale (1./total_volume);
+ rhs /= total_volume;
}
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 1998 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// Test the cell matrices generated in FETools and the local renumbering vector.
+
+#include "../tests.h"
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+
+#include <deal.II/base/logstream.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/fe/fe_dgp.h>
+#include <deal.II/fe/fe_raviart_thomas.h>
+#include <deal.II/fe/fe_nedelec.h>
+#include <deal.II/fe/fe_system.h>
+
+#include <deal.II/fe/fe_tools.h>
+
+void logvec (const std::vector<types::global_dof_index>& v, const std::vector<types::global_dof_index>& w)
+{
+ deallog << '[';
+ for (unsigned int i=0; i<w.size(); ++i)
+ deallog << ' ' << w[i];
+ deallog << " ]" << std::endl << '[';;
+ for (unsigned int i=0; i<v.size(); ++i)
+ deallog << ' ' << v[i];
+ deallog << " ]" << std::endl;
+}
+
+
+template<int dim>
+void test_renumbering(const FiniteElement<dim> &fe)
+{
+ std::vector<types::global_dof_index> v(fe.dofs_per_cell);
+ std::vector<types::global_dof_index> w(fe.n_blocks());
+
+ deallog << fe.get_name() << std::endl;
+
+ FETools::compute_block_renumbering(fe, v, w, false);
+ logvec(v,w);
+ FETools::compute_block_renumbering(fe, v, w, true);
+ logvec(v,w);
+}
+
+
+template<int dim>
+void test_renumbering()
+{
+ deallog.push("Renumber");
+
+ FE_Q<dim> q1(1);
+ FE_Q<dim> q3(3);
+ FE_DGQ<dim> dg1(1);
+ FE_RaviartThomas<dim> rt1(1);
+ FE_Nedelec<dim> n1(1);
+ test_renumbering(q1);
+ test_renumbering(q3);
+ test_renumbering(dg1);
+ test_renumbering(rt1);
+ test_renumbering(n1);
+
+ FESystem<dim> q1_3(q1,3);
+ test_renumbering(q1_3);
+ FESystem<dim> q3_3(q3,3);
+ test_renumbering(q3_3);
+ FESystem<dim> q3_2_q1_3(q3, 2, q1, 3);
+ test_renumbering(q3_2_q1_3);
+ test_renumbering(FESystem<dim>(rt1,1,dg1,1));
+ test_renumbering(FESystem<dim>(rt1,1,q1,1));
+ test_renumbering(FESystem<dim>(rt1,2,q1,2));
+ test_renumbering(FESystem<dim>(n1,1,q1,1));
+
+ deallog.pop();
+}
+
+
+int main()
+{
+ initlog(__FILE__);
+// test_renumbering<1>();
+ test_renumbering<2>();
+ test_renumbering<3>();
+}
--- /dev/null
+
+DEAL:Renumber::FE_Q<2>(1)
+DEAL:Renumber::[ 4 ]
+DEAL:Renumber::[ 0 1 2 3 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 ]
+DEAL:Renumber::FE_Q<2>(3)
+DEAL:Renumber::[ 16 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ]
+DEAL:Renumber::FE_DGQ<2>(1)
+DEAL:Renumber::[ 4 ]
+DEAL:Renumber::[ 0 1 2 3 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 ]
+DEAL:Renumber::FE_RaviartThomas<2>(1)
+DEAL:Renumber::[ 12 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::FE_Nedelec<2>(1)
+DEAL:Renumber::[ 12 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::FESystem<2>[FE_Q<2>(1)^3]
+DEAL:Renumber::[ 4 4 4 ]
+DEAL:Renumber::[ 0 4 8 1 5 9 2 6 10 3 7 11 ]
+DEAL:Renumber::[ 0 4 8 ]
+DEAL:Renumber::[ 0 4 8 1 5 9 2 6 10 3 7 11 ]
+DEAL:Renumber::FESystem<2>[FE_Q<2>(3)^3]
+DEAL:Renumber::[ 16 16 16 ]
+DEAL:Renumber::[ 0 16 32 1 17 33 2 18 34 3 19 35 4 5 20 21 36 37 6 7 22 23 38 39 8 9 24 25 40 41 10 11 26 27 42 43 12 13 14 15 28 29 30 31 44 45 46 47 ]
+DEAL:Renumber::[ 0 16 32 ]
+DEAL:Renumber::[ 0 16 32 1 17 33 2 18 34 3 19 35 4 5 20 21 36 37 6 7 22 23 38 39 8 9 24 25 40 41 10 11 26 27 42 43 12 13 14 15 28 29 30 31 44 45 46 47 ]
+DEAL:Renumber::FESystem<2>[FE_Q<2>(3)^2-FE_Q<2>(1)^3]
+DEAL:Renumber::[ 16 16 4 4 4 ]
+DEAL:Renumber::[ 0 16 32 36 40 1 17 33 37 41 2 18 34 38 42 3 19 35 39 43 4 5 20 21 6 7 22 23 8 9 24 25 10 11 26 27 12 13 14 15 28 29 30 31 ]
+DEAL:Renumber::[ 0 16 32 36 40 ]
+DEAL:Renumber::[ 0 16 32 36 40 1 17 33 37 41 2 18 34 38 42 3 19 35 39 43 4 5 20 21 6 7 22 23 8 9 24 25 10 11 26 27 12 13 14 15 28 29 30 31 ]
+DEAL:Renumber::FESystem<2>[FE_RaviartThomas<2>(1)-FE_DGQ<2>(1)]
+DEAL:Renumber::[ 12 4 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ]
+DEAL:Renumber::[ 0 12 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ]
+DEAL:Renumber::FESystem<2>[FE_RaviartThomas<2>(1)-FE_Q<2>(1)]
+DEAL:Renumber::[ 12 4 ]
+DEAL:Renumber::[ 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::[ 0 12 ]
+DEAL:Renumber::[ 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::FESystem<2>[FE_RaviartThomas<2>(1)^2-FE_Q<2>(1)^2]
+DEAL:Renumber::[ 12 12 4 4 ]
+DEAL:Renumber::[ 24 28 25 29 26 30 27 31 0 1 12 13 2 3 14 15 4 5 16 17 6 7 18 19 8 9 10 11 20 21 22 23 ]
+DEAL:Renumber::[ 0 12 24 28 ]
+DEAL:Renumber::[ 24 28 25 29 26 30 27 31 0 1 12 13 2 3 14 15 4 5 16 17 6 7 18 19 8 9 10 11 20 21 22 23 ]
+DEAL:Renumber::FESystem<2>[FE_Nedelec<2>(1)-FE_Q<2>(1)]
+DEAL:Renumber::[ 12 4 ]
+DEAL:Renumber::[ 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::[ 0 12 ]
+DEAL:Renumber::[ 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 ]
+DEAL:Renumber::FE_Q<3>(1)
+DEAL:Renumber::[ 8 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 ]
+DEAL:Renumber::FE_Q<3>(3)
+DEAL:Renumber::[ 64 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::FE_DGQ<3>(1)
+DEAL:Renumber::[ 8 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 1 2 3 4 5 6 7 ]
+DEAL:Renumber::FE_RaviartThomas<3>(1)
+DEAL:Renumber::[ 36 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::FE_Nedelec<3>(1)
+DEAL:Renumber::[ 54 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::[ 0 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::FESystem<3>[FE_Q<3>(1)^3]
+DEAL:Renumber::[ 8 8 8 ]
+DEAL:Renumber::[ 0 8 16 1 9 17 2 10 18 3 11 19 4 12 20 5 13 21 6 14 22 7 15 23 ]
+DEAL:Renumber::[ 0 8 16 ]
+DEAL:Renumber::[ 0 8 16 1 9 17 2 10 18 3 11 19 4 12 20 5 13 21 6 14 22 7 15 23 ]
+DEAL:Renumber::FESystem<3>[FE_Q<3>(3)^3]
+DEAL:Renumber::[ 64 64 64 ]
+DEAL:Renumber::[ 0 64 128 1 65 129 2 66 130 3 67 131 4 68 132 5 69 133 6 70 134 7 71 135 8 9 72 73 136 137 10 11 74 75 138 139 12 13 76 77 140 141 14 15 78 79 142 143 16 17 80 81 144 145 18 19 82 83 146 147 20 21 84 85 148 149 22 23 86 87 150 151 24 25 88 89 152 153 26 27 90 91 154 155 28 29 92 93 156 157 30 31 94 95 158 159 32 33 34 35 96 97 98 99 160 161 162 163 36 37 38 39 100 101 102 103 164 165 166 167 40 41 42 43 104 105 106 107 168 169 170 171 44 45 46 47 108 109 110 111 172 173 174 175 48 49 50 51 112 113 114 115 176 177 178 179 52 53 54 55 116 117 118 119 180 181 182 183 56 57 58 59 60 61 62 63 120 121 122 123 124 125 126 127 184 185 186 187 188 189 190 191 ]
+DEAL:Renumber::[ 0 64 128 ]
+DEAL:Renumber::[ 0 64 128 1 65 129 2 66 130 3 67 131 4 68 132 5 69 133 6 70 134 7 71 135 8 9 72 73 136 137 10 11 74 75 138 139 12 13 76 77 140 141 14 15 78 79 142 143 16 17 80 81 144 145 18 19 82 83 146 147 20 21 84 85 148 149 22 23 86 87 150 151 24 25 88 89 152 153 26 27 90 91 154 155 28 29 92 93 156 157 30 31 94 95 158 159 32 33 34 35 96 97 98 99 160 161 162 163 36 37 38 39 100 101 102 103 164 165 166 167 40 41 42 43 104 105 106 107 168 169 170 171 44 45 46 47 108 109 110 111 172 173 174 175 48 49 50 51 112 113 114 115 176 177 178 179 52 53 54 55 116 117 118 119 180 181 182 183 56 57 58 59 60 61 62 63 120 121 122 123 124 125 126 127 184 185 186 187 188 189 190 191 ]
+DEAL:Renumber::FESystem<3>[FE_Q<3>(3)^2-FE_Q<3>(1)^3]
+DEAL:Renumber::[ 64 64 8 8 8 ]
+DEAL:Renumber::[ 0 64 128 136 144 1 65 129 137 145 2 66 130 138 146 3 67 131 139 147 4 68 132 140 148 5 69 133 141 149 6 70 134 142 150 7 71 135 143 151 8 9 72 73 10 11 74 75 12 13 76 77 14 15 78 79 16 17 80 81 18 19 82 83 20 21 84 85 22 23 86 87 24 25 88 89 26 27 90 91 28 29 92 93 30 31 94 95 32 33 34 35 96 97 98 99 36 37 38 39 100 101 102 103 40 41 42 43 104 105 106 107 44 45 46 47 108 109 110 111 48 49 50 51 112 113 114 115 52 53 54 55 116 117 118 119 56 57 58 59 60 61 62 63 120 121 122 123 124 125 126 127 ]
+DEAL:Renumber::[ 0 64 128 136 144 ]
+DEAL:Renumber::[ 0 64 128 136 144 1 65 129 137 145 2 66 130 138 146 3 67 131 139 147 4 68 132 140 148 5 69 133 141 149 6 70 134 142 150 7 71 135 143 151 8 9 72 73 10 11 74 75 12 13 76 77 14 15 78 79 16 17 80 81 18 19 82 83 20 21 84 85 22 23 86 87 24 25 88 89 26 27 90 91 28 29 92 93 30 31 94 95 32 33 34 35 96 97 98 99 36 37 38 39 100 101 102 103 40 41 42 43 104 105 106 107 44 45 46 47 108 109 110 111 48 49 50 51 112 113 114 115 52 53 54 55 116 117 118 119 56 57 58 59 60 61 62 63 120 121 122 123 124 125 126 127 ]
+DEAL:Renumber::FESystem<3>[FE_RaviartThomas<3>(1)-FE_DGQ<3>(1)]
+DEAL:Renumber::[ 36 8 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::[ 0 36 ]
+DEAL:Renumber::[ 0 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 ]
+DEAL:Renumber::FESystem<3>[FE_RaviartThomas<3>(1)-FE_Q<3>(1)]
+DEAL:Renumber::[ 36 8 ]
+DEAL:Renumber::[ 36 37 38 39 40 41 42 43 0 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 ]
+DEAL:Renumber::[ 0 36 ]
+DEAL:Renumber::[ 36 37 38 39 40 41 42 43 0 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 ]
+DEAL:Renumber::FESystem<3>[FE_RaviartThomas<3>(1)^2-FE_Q<3>(1)^2]
+DEAL:Renumber::[ 36 36 8 8 ]
+DEAL:Renumber::[ 72 80 73 81 74 82 75 83 76 84 77 85 78 86 79 87 0 1 2 3 36 37 38 39 4 5 6 7 40 41 42 43 8 9 10 11 44 45 46 47 12 13 14 15 48 49 50 51 16 17 18 19 52 53 54 55 20 21 22 23 56 57 58 59 24 25 26 27 28 29 30 31 32 33 34 35 60 61 62 63 64 65 66 67 68 69 70 71 ]
+DEAL:Renumber::[ 0 36 72 80 ]
+DEAL:Renumber::[ 72 80 73 81 74 82 75 83 76 84 77 85 78 86 79 87 0 1 2 3 36 37 38 39 4 5 6 7 40 41 42 43 8 9 10 11 44 45 46 47 12 13 14 15 48 49 50 51 16 17 18 19 52 53 54 55 20 21 22 23 56 57 58 59 24 25 26 27 28 29 30 31 32 33 34 35 60 61 62 63 64 65 66 67 68 69 70 71 ]
+DEAL:Renumber::FESystem<3>[FE_Nedelec<3>(1)-FE_Q<3>(1)]
+DEAL:Renumber::[ 54 8 ]
+DEAL:Renumber::[ 54 55 56 57 58 59 60 61 0 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 ]
+DEAL:Renumber::[ 0 54 ]
+DEAL:Renumber::[ 54 55 56 57 58 59 60 61 0 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 ]
DEAL::2d Jacobians:
-DEAL::0.9742 0.0664 -0.0314 0.5822
-DEAL::0.6722 0.0174 -0.0273 1.0693
+DEAL::0.9742 0.0664 -0.0313 0.5814
+DEAL::0.6710 0.0173 -0.0272 1.0693
DEAL::0.5858 0 0 0.5858
-DEAL::0.0314 -0.5822 0.9742 0.0664
-DEAL::-0.0273 1.0693 -0.6722 -0.0174
+DEAL::0.0313 -0.5814 0.9742 0.0664
+DEAL::-0.0272 1.0693 -0.6710 -0.0173
DEAL::
DEAL::2d inverse Jacobians:
-DEAL::1.0228 -0.1167 0.0552 1.7113
-DEAL::1.4866 -0.0242 0.0379 0.9345
+DEAL::1.0228 -0.1169 0.0550 1.7137
+DEAL::1.4893 -0.0241 0.0380 0.9345
DEAL::1.7071 0 0 1.7071
-DEAL::0.1167 1.0228 -1.7113 0.0552
-DEAL::-0.0242 -1.4866 0.9345 -0.0379
+DEAL::0.1169 1.0228 -1.7137 0.0550
+DEAL::-0.0241 -1.4893 0.9345 -0.0380
DEAL::
DEAL::3d Jacobians:
DEAL::0.4226 0 0 0 0.4226 0 0 0 0.4226
-DEAL::0.7166 0.0006 0.0633 0.0006 0.7163 -0.0221 -0.0143 0.0053 0.4812
-DEAL::0.0204 -0.5582 -0.0364 0.8017 0.0685 0.0034 0.0038 -0.1227 0.8075
-DEAL::0.8017 0.0685 0.0034 0.0038 -0.1227 0.8075 0.0204 -0.5582 -0.0364
-DEAL::0.6915 0.0121 0.0583 -0.0304 0.9077 -0.0021 -0.1531 -0.0021 0.9115
-DEAL::0.8017 0.0685 0.0034 -0.0204 0.5582 0.0364 0.0038 -0.1227 0.8075
-DEAL::-0.0304 0.9077 -0.0021 -0.6915 -0.0121 -0.0583 -0.1531 -0.0021 0.9115
+DEAL::0.7165 0.0006 0.0634 0.0006 0.7162 -0.0222 -0.0141 0.0052 0.4802
+DEAL::0.0201 -0.5556 -0.0358 0.8018 0.0685 0.0034 0.0038 -0.1227 0.8074
+DEAL::0.8018 0.0685 0.0034 0.0038 -0.1227 0.8074 0.0201 -0.5556 -0.0358
+DEAL::0.6859 0.0119 0.0572 -0.0304 0.9075 -0.0021 -0.1524 -0.0021 0.9114
+DEAL::0.8018 0.0685 0.0034 -0.0201 0.5556 0.0358 0.0038 -0.1227 0.8074
+DEAL::-0.0304 0.9075 -0.0021 -0.6859 -0.0119 -0.0572 -0.1524 -0.0021 0.9114
DEAL::
DEAL::3d inverse Jacobians:
DEAL::2.3660 0 0 0 2.3660 0 0 0 2.3660
-DEAL::1.3918 0.0002 -0.1831 0.0002 1.3957 0.0642 0.0414 -0.0155 2.0720
-DEAL::0.1523 1.2434 0.0016 -1.7683 0.0455 -0.0800 -0.2694 0.0011 1.2263
-DEAL::1.2434 0.0016 0.1523 0.0455 -0.0800 -1.7683 0.0011 1.2263 -0.2694
-DEAL::1.4251 -0.0193 -0.0912 0.0483 1.1010 -0.0005 0.2394 -0.0007 1.0818
-DEAL::1.2434 -0.1523 0.0016 0.0455 1.7683 -0.0800 0.0011 0.2694 1.2263
-DEAL::-0.0193 -1.4251 -0.0912 1.1010 -0.0483 -0.0005 -0.0007 -0.2394 1.0818
+DEAL::1.3921 0.0002 -0.1837 0.0001 1.3959 0.0646 0.0408 -0.0152 2.0764
+DEAL::0.1531 1.2433 0.0015 -1.7770 0.0449 -0.0790 -0.2707 0.0010 1.2265
+DEAL::1.2433 0.0015 0.1531 0.0449 -0.0790 -1.7770 0.0010 1.2265 -0.2707
+DEAL::1.4370 -0.0191 -0.0902 0.0487 1.1012 -0.0005 0.2404 -0.0006 1.0822
+DEAL::1.2433 -0.1531 0.0015 0.0449 1.7770 -0.0790 0.0010 0.2707 1.2265
+DEAL::-0.0191 -1.4370 -0.0902 1.1012 -0.0487 -0.0005 -0.0006 -0.2404 1.0822
DEAL::
DEAL:: area=6.8
DEAL::MappingFace2d-2-Q2
DEAL:MappingFace2d-2-Q2::1.0 1.1 -1.0 0.0 0.35
-DEAL:MappingFace2d-2-Q2::1.0 1.7 -1.0 -1.1e-16 0.65
+DEAL:MappingFace2d-2-Q2::1.0 1.7 -1.0 0.0 0.65
DEAL:MappingFace2d-2-Q2::1.0 2.3 -1.0 0.0 0.65
DEAL:MappingFace2d-2-Q2::1.0 2.9 -1.0 0.0 0.35
DEAL:MappingFace2d-2-Q2::
DEAL:MappingFace2d-2-Q2::
DEAL:MappingFace2d-2-Q2::
DEAL:MappingFace2d-2-Q2::1.3 1.0 0.0 -1.0 0.70
-DEAL:MappingFace2d-2-Q2::2.3 1.0 -5.6e-17 -1.0 1.3
+DEAL:MappingFace2d-2-Q2::2.3 1.0 0.0 -1.0 1.3
DEAL:MappingFace2d-2-Q2::3.7 1.0 0.0 -1.0 1.3
DEAL:MappingFace2d-2-Q2::4.7 1.0 0.0 -1.0 0.70
DEAL:MappingFace2d-2-Q2::
DEAL:MappingFace2d-2-Q2::
DEAL:MappingFace2d-2-Q2::
DEAL::MappingSubface2d-2-Q2
-DEAL:MappingSubface2d-2-Q2::1.0 1.1 -1.0 -2.2e-16
+DEAL:MappingSubface2d-2-Q2::1.0 1.1 -1.0 0.0
DEAL:MappingSubface2d-2-Q2::1.0 1.3 -1.0 0.0
DEAL:MappingSubface2d-2-Q2::1.0 1.7 -1.0 0.0
-DEAL:MappingSubface2d-2-Q2::1.0 1.9 -1.0 -1.1e-16
+DEAL:MappingSubface2d-2-Q2::1.0 1.9 -1.0 0.0
DEAL:MappingSubface2d-2-Q2::
DEAL:MappingSubface2d-2-Q2::
DEAL:MappingSubface2d-2-Q2::1.0 2.1 -1.0 0.0
DEAL:MappingSubface2d-2-Q2::3.1 3.0 0.13 0.99
DEAL:MappingSubface2d-2-Q2::
DEAL:MappingSubface2d-2-Q2::
-DEAL:MappingSubface2d-2-Q2::1.1 1.0 -1.1e-16 -1.0
+DEAL:MappingSubface2d-2-Q2::1.1 1.0 0.0 -1.0
DEAL:MappingSubface2d-2-Q2::1.7 1.0 0.0 -1.0
DEAL:MappingSubface2d-2-Q2::2.3 1.0 0.0 -1.0
-DEAL:MappingSubface2d-2-Q2::2.9 1.0 -5.6e-17 -1.0
+DEAL:MappingSubface2d-2-Q2::2.9 1.0 0.0 -1.0
DEAL:MappingSubface2d-2-Q2::
DEAL:MappingSubface2d-2-Q2::
DEAL:MappingSubface2d-2-Q2::3.1 1.0 0.0 -1.0
DEAL:Mapping2d-2-Q3::2.0 1.6 7.1
DEAL:Mapping2d-2-Q3::2.5 1.6 7.4
DEAL:Mapping2d-2-Q3::3.0 1.6 8.1
-DEAL:Mapping2d-2-Q3::3.6 1.7 9.4
+DEAL:Mapping2d-2-Q3::3.6 1.7 9.3
DEAL:Mapping2d-2-Q3::4.2 1.8 11.
DEAL:Mapping2d-2-Q3::4.8 1.9 14.
DEAL:Mapping2d-2-Q3::
-DEAL:Mapping2d-2-Q3::1.0 1.9 6.7
+DEAL:Mapping2d-2-Q3::1.0 1.9 6.6
DEAL:Mapping2d-2-Q3::1.5 1.9 6.4
DEAL:Mapping2d-2-Q3::1.9 1.9 6.3
DEAL:Mapping2d-2-Q3::2.4 1.9 6.6
DEAL:Mapping2d-2-Q3::2.3 2.1 5.6
DEAL:Mapping2d-2-Q3::2.7 2.2 6.1
DEAL:Mapping2d-2-Q3::3.2 2.3 7.1
-DEAL:Mapping2d-2-Q3::3.7 2.4 8.8
+DEAL:Mapping2d-2-Q3::3.7 2.4 8.7
DEAL:Mapping2d-2-Q3::4.2 2.6 11.
DEAL:Mapping2d-2-Q3::
DEAL:Mapping2d-2-Q3::1.0 2.4 5.3
DEAL:Mapping2d-2-Q3::1.3 2.7 3.8
DEAL:Mapping2d-2-Q3::1.7 2.6 3.4
DEAL:Mapping2d-2-Q3::2.0 2.6 3.3
-DEAL:Mapping2d-2-Q3::2.4 2.6 3.4
+DEAL:Mapping2d-2-Q3::2.4 2.6 3.5
DEAL:Mapping2d-2-Q3::2.7 2.7 3.9
DEAL:Mapping2d-2-Q3::3.1 2.8 4.7
DEAL:Mapping2d-2-Q3::3.4 3.0 6.1
DEAL:Mapping2d-2-Q3::
DEAL:: area=6.8
DEAL::MappingFace2d-2-Q3
-DEAL:MappingFace2d-2-Q3::1.0 1.1 -1.0 4.4e-16 0.35
+DEAL:MappingFace2d-2-Q3::1.0 1.1 -1.0 -7.8e-16 0.35
DEAL:MappingFace2d-2-Q3::1.0 1.7 -1.0 0.0 0.65
-DEAL:MappingFace2d-2-Q3::1.0 2.3 -1.0 -6.7e-16 0.65
+DEAL:MappingFace2d-2-Q3::1.0 2.3 -1.0 5.6e-17 0.65
DEAL:MappingFace2d-2-Q3::1.0 2.9 -1.0 0.0 0.35
DEAL:MappingFace2d-2-Q3::
DEAL:MappingFace2d-2-Q3::
-DEAL:MappingFace2d-2-Q3::5.0 1.2 1.0 0.098 0.55
+DEAL:MappingFace2d-2-Q3::5.0 1.2 0.99 0.10 0.55
DEAL:MappingFace2d-2-Q3::4.7 2.0 0.86 0.51 1.0
DEAL:MappingFace2d-2-Q3::4.0 2.7 0.51 0.86 1.0
-DEAL:MappingFace2d-2-Q3::3.2 3.0 0.098 1.0 0.55
+DEAL:MappingFace2d-2-Q3::3.2 3.0 0.10 0.99 0.55
DEAL:MappingFace2d-2-Q3::
DEAL:MappingFace2d-2-Q3::
-DEAL:MappingFace2d-2-Q3::1.3 1.0 2.2e-16 -1.0 0.70
+DEAL:MappingFace2d-2-Q3::1.3 1.0 -3.9e-16 -1.0 0.70
DEAL:MappingFace2d-2-Q3::2.3 1.0 0.0 -1.0 1.3
-DEAL:MappingFace2d-2-Q3::3.7 1.0 -3.3e-16 -1.0 1.3
+DEAL:MappingFace2d-2-Q3::3.7 1.0 2.8e-17 -1.0 1.3
DEAL:MappingFace2d-2-Q3::4.7 1.0 0.0 -1.0 0.70
DEAL:MappingFace2d-2-Q3::
DEAL:MappingFace2d-2-Q3::
DEAL:MappingFace2d-2-Q3::
DEAL:MappingFace2d-2-Q3::
DEAL::MappingSubface2d-2-Q3
-DEAL:MappingSubface2d-2-Q3::1.0 1.1 -1.0 -4.4e-16
-DEAL:MappingSubface2d-2-Q3::1.0 1.3 -1.0 -2.2e-16
-DEAL:MappingSubface2d-2-Q3::1.0 1.7 -1.0 -4.4e-16
-DEAL:MappingSubface2d-2-Q3::1.0 1.9 -1.0 2.2e-16
+DEAL:MappingSubface2d-2-Q3::1.0 1.1 -1.0 -8.9e-16
+DEAL:MappingSubface2d-2-Q3::1.0 1.3 -1.0 -5.0e-16
+DEAL:MappingSubface2d-2-Q3::1.0 1.7 -1.0 0.0
+DEAL:MappingSubface2d-2-Q3::1.0 1.9 -1.0 -2.2e-16
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::
-DEAL:MappingSubface2d-2-Q3::1.0 2.1 -1.0 -8.9e-16
-DEAL:MappingSubface2d-2-Q3::1.0 2.3 -1.0 -1.1e-16
+DEAL:MappingSubface2d-2-Q3::1.0 2.1 -1.0 2.2e-16
+DEAL:MappingSubface2d-2-Q3::1.0 2.3 -1.0 0.0
DEAL:MappingSubface2d-2-Q3::1.0 2.7 -1.0 0.0
-DEAL:MappingSubface2d-2-Q3::1.0 2.9 -1.0 -4.4e-16
+DEAL:MappingSubface2d-2-Q3::1.0 2.9 -1.0 4.4e-16
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::
-DEAL:MappingSubface2d-2-Q3::5.0 1.1 1.0 0.036
-DEAL:MappingSubface2d-2-Q3::4.9 1.5 0.97 0.26
+DEAL:MappingSubface2d-2-Q3::5.0 1.1 1.0 0.039
+DEAL:MappingSubface2d-2-Q3::4.9 1.5 0.96 0.26
DEAL:MappingSubface2d-2-Q3::4.7 2.0 0.86 0.51
DEAL:MappingSubface2d-2-Q3::4.5 2.3 0.74 0.67
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::4.3 2.5 0.67 0.74
DEAL:MappingSubface2d-2-Q3::4.0 2.7 0.51 0.86
-DEAL:MappingSubface2d-2-Q3::3.5 2.9 0.26 0.97
-DEAL:MappingSubface2d-2-Q3::3.1 3.0 0.036 1.0
+DEAL:MappingSubface2d-2-Q3::3.5 2.9 0.26 0.96
+DEAL:MappingSubface2d-2-Q3::3.1 3.0 0.039 1.0
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::
-DEAL:MappingSubface2d-2-Q3::1.1 1.0 -2.2e-16 -1.0
-DEAL:MappingSubface2d-2-Q3::1.7 1.0 -1.1e-16 -1.0
-DEAL:MappingSubface2d-2-Q3::2.3 1.0 -2.2e-16 -1.0
-DEAL:MappingSubface2d-2-Q3::2.9 1.0 1.1e-16 -1.0
+DEAL:MappingSubface2d-2-Q3::1.1 1.0 -4.4e-16 -1.0
+DEAL:MappingSubface2d-2-Q3::1.7 1.0 -2.5e-16 -1.0
+DEAL:MappingSubface2d-2-Q3::2.3 1.0 0.0 -1.0
+DEAL:MappingSubface2d-2-Q3::2.9 1.0 -1.1e-16 -1.0
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::
-DEAL:MappingSubface2d-2-Q3::3.1 1.0 -4.4e-16 -1.0
-DEAL:MappingSubface2d-2-Q3::3.7 1.0 -5.6e-17 -1.0
+DEAL:MappingSubface2d-2-Q3::3.1 1.0 1.1e-16 -1.0
+DEAL:MappingSubface2d-2-Q3::3.7 1.0 0.0 -1.0
DEAL:MappingSubface2d-2-Q3::4.3 1.0 0.0 -1.0
-DEAL:MappingSubface2d-2-Q3::4.9 1.0 -2.2e-16 -1.0
+DEAL:MappingSubface2d-2-Q3::4.9 1.0 2.2e-16 -1.0
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::
DEAL:MappingSubface2d-2-Q3::1.1 3.0 0.42 0.91
4 162 3.14159639 1.1900e-06 5.92
16 578 3.14159271 1.8860e-08 5.98
64 2178 3.14159265 2.9574e-10 5.99
-256 8450 3.14159265 4.6257e-12 6.00
+256 8450 3.14159265 4.6356e-12 6.00
DEAL::
// initial guess for the inverse Q4 mapping by running an inverse Q1
// mapping, and we failed to find a solution in the latter.
//
+// todo: this test used to fail before r30450 but the new mapping support
+// points seem to fix this
+//
// a redux of this test is in the mapping_real_to_unit_q4_sphere_*
// tests
(52,68) -0.49
(52,69) 0.00
(52,70) -1.32
-(52,71) 3.38
+(52,71) 3.37
(52,72) 0.00
(52,73) -0.06
(52,74) 0.18
(71,41) -0.21
(71,42) 1.65
(71,51) 0.00
-(71,52) 3.38
+(71,52) 3.37
(71,55) 0.00
(71,56) -0.41
(71,57) 1.26
triangulation.refine_global (1);
- hp::DoFHandler<2> dof_handler(triangulation);
hp::FECollection<2> fe_collection;
-
-
fe_collection.push_back(FE_Q<2>(1));
fe_collection.push_back(FE_Nothing<2>());
+ hp::DoFHandler<2> dof_handler(triangulation);
// Assign FE to cells
hp::DoFHandler<2>::active_cell_iterator cell;
data_out.write_vtu (deallog.get_file_stream());
+ // Interpoalte solution
+ SolutionTransfer<2, Vector<double>, hp::DoFHandler<2> > solultion_trans(dof_handler);
+ solultion_trans.prepare_for_coarsening_and_refinement(solution);
+
+ triangulation.execute_coarsening_and_refinement ();
// Assign FE_Q_ to all cells
cell = dof_handler.begin_active();
for( ; cell != endc; ++cell){
cell->set_active_fe_index(0);
}
-
-
- // Interpoalte solution
- SolutionTransfer<2, Vector<double>, hp::DoFHandler<2> > solultion_trans(dof_handler);
- solultion_trans.prepare_for_coarsening_and_refinement(solution);
- triangulation.execute_coarsening_and_refinement ();
dof_handler.distribute_dofs (fe_collection);
+
Vector<double> new_solution(dof_handler.n_dofs());
solultion_trans.interpolate(solution, new_solution);
</Piece>
</UnstructuredGrid>
</VTKFile>
+<?xml version="1.0" ?>
+<!--
+# vtk DataFile Version 3.0
+#This file was generated
+-->
+<VTKFile type="UnstructuredGrid" version="0.1" compressor="vtkZLibDataCompressor" byte_order="LittleEndian">
+<UnstructuredGrid>
+<Piece NumberOfPoints="16" NumberOfCells="4" >
+ <Points>
+ <DataArray type="Float64" NumberOfComponents="3" format="binary">
+AQAAAIABAACAAQAAMwAAAA==eNpjYMAHHtgzkCQP4+MSRwcf7PGbi67vgz1+84h1Dy77Yeo+2FPmHlzmfMAQBwBtNxtp
+ </DataArray>
+ </Points>
+
+ <Cells>
+ <DataArray type="Int32" Name="connectivity" format="binary">
+AQAAAEAAAABAAAAAKAAAAA==eNoNwwkSwBAQALB1VIvi/7+VzCQiIlnMVh9fm5/d6fB3edxeCvAAeQ==
+ </DataArray>
+ <DataArray type="Int32" Name="offsets" format="binary">
+AQAAABAAAAAQAAAAEwAAAA==eNpjYWBg4ABiHiAWAGIAAVAAKQ==
+ </DataArray>
+ <DataArray type="UInt8" Name="types" format="binary">
+AQAAAAQAAAAEAAAADAAAAA==eNrj5OTkBAAAXgAl
+ </DataArray>
+ </Cells>
+ <PointData Scalars="scalars">
+ <DataArray type="Float64" Name="Solution" format="binary">
+AQAAAIAAAACAAAAAEwAAAA==eNpjYMAGPtij0oTkyacBsOIONQ== </DataArray>
+ </PointData>
+ </Piece>
+ </UnstructuredGrid>
+</VTKFile>
-0.23 -0.97 0 0
-0.18 -0.98 0 0
-0.13 -0.99 0 0
--0.076 -1.0 0 0
+-0.076 -0.99 0 0
-0.025 -1.0 0 0
0.025 -1.0 0 0
-0.076 -1.0 0 0
+0.076 -0.99 0 0
0.13 -0.99 0 0
0.18 -0.98 0 0
0.23 -0.97 0 0
-0.97 -0.23 0 0
-0.98 -0.18 0 0
-0.99 -0.13 0 0
--1.0 -0.076 0 0
+-0.99 -0.076 0 0
-1.0 -0.025 0 0
-1.0 0.025 0 0
--1.0 0.076 0 0
+-0.99 0.076 0 0
-0.99 0.13 0 0
-0.98 0.18 0 0
-0.97 0.23 0 0
0.97 -0.23 0 0
0.98 -0.18 0 0
0.99 -0.13 0 0
-1.0 -0.076 0 0
+0.99 -0.076 0 0
1.0 -0.025 0 0
1.0 0.025 0 0
-1.0 0.076 0 0
+0.99 0.076 0 0
0.99 0.13 0 0
0.98 0.18 0 0
0.97 0.23 0 0
-0.23 0.97 0 0
-0.18 0.98 0 0
-0.13 0.99 0 0
--0.076 1.0 0 0
+-0.076 0.99 0 0
-0.025 1.0 0 0
0.025 1.0 0 0
-0.076 1.0 0 0
+0.076 0.99 0 0
0.13 0.99 0 0
0.18 0.98 0 0
0.23 0.97 0 0
-0.61 -0.79 1 0
-0.59 -0.81 1 0
-0.57 -0.82 1 0
--0.55 -0.84 1 0
+-0.55 -0.83 1 0
-0.53 -0.85 1 0
-0.51 -0.86 1 0
-0.49 -0.87 1 0
0.49 -0.87 1 0
0.51 -0.86 1 0
0.53 -0.85 1 0
-0.55 -0.84 1 0
+0.55 -0.83 1 0
0.57 -0.82 1 0
0.59 -0.81 1 0
0.61 -0.79 1 0
-0.79 -0.61 1 0
-0.81 -0.59 1 0
-0.82 -0.57 1 0
--0.84 -0.55 1 0
+-0.83 -0.55 1 0
-0.85 -0.53 1 0
-0.86 -0.51 1 0
-0.87 -0.49 1 0
-0.87 0.49 1 0
-0.86 0.51 1 0
-0.85 0.53 1 0
--0.84 0.55 1 0
+-0.83 0.55 1 0
-0.82 0.57 1 0
-0.81 0.59 1 0
-0.79 0.61 1 0
0.79 -0.61 1 0
0.81 -0.59 1 0
0.82 -0.57 1 0
-0.84 -0.55 1 0
+0.83 -0.55 1 0
0.85 -0.53 1 0
0.86 -0.51 1 0
0.87 -0.49 1 0
0.87 0.49 1 0
0.86 0.51 1 0
0.85 0.53 1 0
-0.84 0.55 1 0
+0.83 0.55 1 0
0.82 0.57 1 0
0.81 0.59 1 0
0.79 0.61 1 0
-0.61 0.79 1 0
-0.59 0.81 1 0
-0.57 0.82 1 0
--0.55 0.84 1 0
+-0.55 0.83 1 0
-0.53 0.85 1 0
-0.51 0.86 1 0
-0.49 0.87 1 0
0.49 0.87 1 0
0.51 0.86 1 0
0.53 0.85 1 0
-0.55 0.84 1 0
+0.55 0.83 1 0
0.57 0.82 1 0
0.59 0.81 1 0
0.61 0.79 1 0
20 3.1391475703122271 2.4451e-03 3.92
80 3.1414377167038303 1.5494e-04 3.98
320 3.1415829366419015 9.7169e-06 4.00
-1280 3.1415920457576916 6.0783e-07 4.00
+1280 3.1415920457576911 6.0783e-07 4.00
5120 3.1415926155921139 3.7998e-08 4.00
DEAL::
DEAL::Degree = 3
cells eval.pi error
-5 3.1465390309173462 4.9464e-03 -
-20 3.1419461263297381 3.5347e-04 3.81
-80 3.1416154689089395 2.2815e-05 3.95
-320 3.1415940909713300 1.4374e-06 3.99
-1280 3.1415927436051261 9.0015e-08 4.00
-5120 3.1415926592185532 5.6288e-09 4.00
+5 3.1410033851499310 5.8927e-04 -
+20 3.1415830393583861 9.6142e-06 5.94
+80 3.1415925017363837 1.5185e-07 5.98
+320 3.1415926512106722 2.3791e-09 6.00
+1280 3.1415926535525962 3.7197e-11 6.00
+5120 3.1415926535892140 5.7923e-13 6.00
DEAL::
DEAL::Degree = 4
-cells eval.pi error
-5 3.1418185737114031 2.2592e-04 -
-20 3.1415963919525285 3.7384e-06 5.92
-80 3.1415927128398162 5.9250e-08 5.98
-320 3.1415926545188730 9.2908e-10 5.99
-1280 3.1415926536043233 1.4530e-11 6.00
-5120 3.1415926535900214 2.2823e-13 5.99
+cells eval.pi error
+5 3.1415871927401127 5.4608e-06 -
+20 3.1415926314742437 2.2116e-08 7.95
+80 3.1415926535026228 8.7170e-11 7.99
+320 3.1415926535894529 3.4036e-13 8.00
+1280 3.1415926535897927 2.9187e-16 10.19
+5120 3.1415926535897944 1.3509e-15 -2.21
DEAL::
DEAL::Computation of Pi by the perimeter:
DEAL::===================================
20 3.1404050605605449 1.1876e-03 3.81
80 3.1415157631807014 7.6890e-05 3.95
320 3.1415878042798617 4.8493e-06 3.99
-1280 3.1415923498174538 3.0377e-07 4.00
+1280 3.1415923498174534 3.0377e-07 4.00
5120 3.1415926345932004 1.8997e-08 4.00
DEAL::
DEAL::Degree = 3
cells eval.pi error
-5 3.1442603311164290 2.6677e-03 -
-20 3.1417729561193593 1.8030e-04 3.89
-80 3.1416041192612361 1.1466e-05 3.98
-320 3.1415933731961765 7.1961e-07 3.99
-1280 3.1415926986118001 4.5022e-08 4.00
-5120 3.1415926564043968 2.8146e-09 4.00
+5 3.1414940401456057 9.8613e-05 -
+20 3.1415913432549156 1.3103e-06 6.23
+80 3.1415926341726914 1.9417e-08 6.08
+320 3.1415926532906893 2.9910e-10 6.02
+1280 3.1415926535851360 4.6571e-12 6.01
+5120 3.1415926535897203 7.2845e-14 6.00
DEAL::
DEAL::Degree = 4
cells eval.pi error
-5 3.1417078926581148 1.1524e-04 -
-20 3.1415945317216059 1.8781e-06 5.94
-80 3.1415926832497778 2.9660e-08 5.98
-320 3.1415926540544703 4.6468e-10 6.00
-1280 3.1415926535970597 7.2668e-12 6.00
-5120 3.1415926535899090 1.1580e-13 5.97
+5 3.1415921029432576 5.5065e-07 -
+20 3.1415926513737600 2.2160e-09 7.96
+80 3.1415926535810712 8.7218e-12 7.99
+320 3.1415926535897594 3.3668e-14 8.02
+1280 3.1415926535897922 1.0617e-15 4.99
+5120 3.1415926535897931 1.0061e-16 3.40
DEAL::
DEAL:cg::Starting value 0.094
DEAL:cg::Convergence step 233 value 0
cells |u|_1 error
-5 1.086161 0.167153
-20 1.207309 0.046005
-80 1.241652 0.011662
+5 1.084317 0.168997
+20 1.207179 0.046135
+80 1.241643 0.011671
320 1.250384 0.002930
1280 1.252580 0.000734
5120 1.253130 0.000184
DEAL:cg::Starting value 0.094
DEAL:cg::Convergence step 233 value 0
cells |u|_1 error
-5 1.086161 0.167153
-20 1.207309 0.046005
-80 1.241652 0.011662
+5 1.084317 0.168997
+20 1.207179 0.046135
+80 1.241643 0.011671
320 1.250384 0.002930
1280 1.252580 0.000734
5120 1.253130 0.000184
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2012 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+/**
+ * @file Test whether
+ */
+
+#include "../tests.h"
+#include <deal.II/base/function.h>
+#include <deal.II/base/function_lib.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+
+#include <deal.II/dofs/dof_handler.h>
+
+#include <deal.II/fe/fe_dgp.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_raviart_thomas.h>
+#include <deal.II/fe/fe_system.h>
+
+#include <deal.II/integrators/laplace.h>
+
+#include <deal.II/meshworker/dof_info.h>
+#include <deal.II/meshworker/integration_info.h>
+#include <deal.II/meshworker/local_integrator.h>
+#include <deal.II/meshworker/simple.h>
+#include <deal.II/meshworker/loop.h>
+
+#include <deal.II/multigrid/sparse_matrix_collection.h>
+
+using namespace dealii;
+using namespace LocalIntegrators;
+
+
+template <int dim>
+class LaplaceMatrix : public MeshWorker::LocalIntegrator<dim>
+{
+public:
+ LaplaceMatrix();
+ virtual void cell(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const;
+ virtual void boundary(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const;
+ virtual void face(MeshWorker::DoFInfo<dim>& dinfo1, MeshWorker::DoFInfo<dim>& dinfo2,
+ MeshWorker::IntegrationInfo<dim>& info1, MeshWorker::IntegrationInfo<dim>& info2) const;
+};
+
+
+template <int dim>
+LaplaceMatrix<dim>::LaplaceMatrix()
+{}
+
+
+template <int dim>
+void LaplaceMatrix<dim>::cell(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const
+{
+ Laplace::cell_matrix(dinfo.matrix(0,false).matrix, info.fe_values());
+}
+
+
+template <int dim>
+void LaplaceMatrix<dim>::boundary(MeshWorker::DoFInfo<dim>& dinfo,
+ typename MeshWorker::IntegrationInfo<dim>& info) const
+{
+ const unsigned int deg = info.fe_values().get_fe().tensor_degree();
+ Laplace::nitsche_matrix(dinfo.matrix(0,false).matrix, info.fe_values(),
+ Laplace::compute_penalty(dinfo, dinfo, deg, deg));
+}
+
+
+template <int dim>
+void LaplaceMatrix<dim>::face(
+ MeshWorker::DoFInfo<dim>& dinfo1, MeshWorker::DoFInfo<dim>& dinfo2,
+ MeshWorker::IntegrationInfo<dim>& info1, MeshWorker::IntegrationInfo<dim>& info2) const
+{
+ if (info1.fe_values().get_fe().conforms(FiniteElementData<dim>::H1))
+ return;
+
+ const unsigned int deg = info1.fe_values().get_fe().tensor_degree();
+
+ if (info1.fe_values().get_fe().conforms(FiniteElementData<dim>::Hdiv) &&
+ !info1.fe_values().get_fe().conforms(FiniteElementData<dim>::Hcurl))
+ Laplace::ip_tangential_matrix(dinfo1.matrix(0,false).matrix, dinfo1.matrix(0,true).matrix,
+ dinfo2.matrix(0,true).matrix, dinfo2.matrix(0,false).matrix,
+ info1.fe_values(), info2.fe_values(),
+ Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
+ else
+ Laplace::ip_matrix(dinfo1.matrix(0,false).matrix, dinfo1.matrix(0,true).matrix,
+ dinfo2.matrix(0,true).matrix, dinfo2.matrix(0,false).matrix,
+ info1.fe_values(), info2.fe_values(),
+ Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
+}
+
+
+template <int dim>
+void assemble_mg_matrix(DoFHandler<dim>& dof_handler,
+ MeshWorker::LocalIntegrator<dim>& matrix_integrator, mg::SparseMatrixCollection<double>& mg)
+{
+ MGConstrainedDoFs mg_constraints;
+ mg_constraints.clear();
+ mg_constraints.initialize(dof_handler);
+
+ mg.set_zero();
+
+ MappingQ1<dim> mapping;
+
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_values | update_gradients | update_hessians;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(dof_handler.get_fe(), mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::MGMatrixSimple<SparseMatrix<double> > assembler;
+ assembler.initialize(mg_constraints);
+ assembler.initialize(mg.matrix);
+ assembler.initialize_interfaces(mg.matrix_in, mg.matrix_out);
+ assembler.initialize_fluxes(mg.matrix_up, mg.matrix_down);
+
+ MeshWorker::integration_loop<dim, dim> (
+ dof_handler.begin_mg(), dof_handler.end_mg(),
+ dof_info, info_box, matrix_integrator, assembler);
+
+ const unsigned int nlevels = dof_handler.get_tria().n_levels();
+ for (unsigned int level=0;level<nlevels;++level)
+ {
+ for(unsigned int i=0; i<dof_handler.n_dofs(level); ++i)
+ if(mg.matrix[level].diag_element(i)==0)
+ mg.matrix[level].set(i,i,1.);
+ }
+}
+
+
+template <int dim>
+void test(FiniteElement<dim> &fe)
+{
+ deallog << fe.get_name() << std::endl;
+
+ Triangulation<dim> tr;
+ std::vector<unsigned int> repititions (dim, 1);
+ repititions[0] = 2;
+ const Point<dim> p1 = (dim == 1 ? Point<dim> (-1.) : (dim == 2 ? Point<dim>(-1.,-1.) : Point<dim> (-1.,-1.,-1.)));
+ const Point<dim> p2 = (dim == 1 ? Point<dim> (1.) : (dim == 2 ? Point<dim>(1.,1.) : Point<dim> (1.,1.,1.)));
+ GridGenerator::subdivided_hyper_rectangle(tr, repititions, p1, p2);
+ tr.begin_active()->set_refine_flag();
+ tr.execute_coarsening_and_refinement();
+
+ LaplaceMatrix<dim> matrix_integrator;
+
+ MGDoFHandler<dim> dof(tr);
+ dof.distribute_dofs(fe);
+ mg::SparseMatrixCollection<double> mg;
+ mg.resize(0,tr.n_levels()-1);
+ mg.reinit(dof);
+ assemble_mg_matrix(dof, matrix_integrator, mg);
+
+ for (unsigned int level=0;level<tr.n_levels();++level)
+ {
+ const unsigned int prec = 1;
+ const unsigned int wd = 5;
+
+ deallog << "Level " << level << std::endl << "mg" << std::endl;
+ mg.matrix[level].print_formatted(deallog.get_file_stream(), prec, false, wd, "0.");
+ if (level>0)
+ {
+ deallog << "in" << std::endl;
+ mg.matrix_in[level].print_formatted(deallog.get_file_stream(), prec, false, wd, "0.");
+ deallog << "out" << std::endl;
+ mg.matrix_out[level].print_formatted(deallog.get_file_stream(), prec, false, wd, "0.");
+ deallog << "up" << std::endl;
+ mg.matrix_up[level].print_formatted(deallog.get_file_stream(), prec, false, wd, "0.");
+ deallog << "down" << std::endl;
+ mg.matrix_down[level].print_formatted(deallog.get_file_stream(), prec, false, wd, "0.");
+ }
+ }
+}
+
+
+int main()
+{
+ const std::string logname = JobIdentifier::base_name(__FILE__) + std::string("/output");
+ std::ofstream logfile(logname.c_str());
+ deallog.attach(logfile);
+ deallog.depth_console (0);
+
+ FE_DGP<2> p0(0);
+ FE_DGP<2> p1(1);
+ FE_RaviartThomas<2> rt0(0);
+ FE_RaviartThomas<2> rt1(1);
+ FE_Q<2> q2(2);
+
+ FESystem<2> sys1(p0, 2, p1, 1);
+ FESystem<2> sys2(p0, 2, rt0, 1);
+ FESystem<2> sys3(rt0, 1, p0, 2);
+ FESystem<2> sys4(p1, 2, q2, 2);
+ FESystem<2> sys5(q2, 2, p1, 2);
+
+ test(rt0);
+ test(rt1);
+// test(sys2);
+// test(sys3);
+// test(sys4);
+// test(sys5);
+}
--- /dev/null
+
+DEAL::FE_RaviartThomas<2>(0)
+DEAL::Level 0
+DEAL::mg
+1.8 0.2 0.0 0.0 0.0 0.0 0.0
+0.2 1.7 0.0 0.0 0.2 0.0 0.0
+0.0 0.0 6.2 2.8 0.0 -2.0 -1.0
+0.0 0.0 2.8 6.2 0.0 -1.0 -2.0
+0.0 0.2 0.0 0.0 1.8 0.0 0.0
+0.0 0.0 -2.0 -1.0 0.0 6.2 2.8
+0.0 0.0 -1.0 -2.0 0.0 2.8 6.2
+DEAL::Level 1
+DEAL::mg
+7.0 0.5 0.0 0.0 0.0 0.0 0.0 -0.3 -0.2 0.0 0. 0.
+0.5 6.0 0.0 0.0 0.0 0.0 0.0 -0.2 -0.7 0.0 0.0 0.0
+0.0 0.0 22.0 8.0 0.0 -5.3 -2.7 0.0 0.0 0.0 0. 0.
+0.0 0.0 8.0 36.0 0.0 -2.7 -10.7 0.0 0.0 8.0 0.0 -2.7
+0.0 0.0 0.0 0.0 1.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0.0 0.0 -5.3 -2.7 0.0 11.3 2.7 0. 0.0 0. 0.0 0.0
+0.0 0.0 -2.7 -10.7 0.0 2.7 14.7 0.0 0.0 -2.7 0.0 2.7
+-0.3 -0.2 0.0 0.0 0. 0. 0.0 7.0 0.5 0.0 0.0 0.0
+-0.2 -0.7 0.0 0.0 0.0 0.0 0.0 0.5 6.0 0.0 0.0 0.0
+0.0 0.0 0.0 8.0 0. 0. -2.7 0.0 0.0 22.0 0.0 -5.3
+0. 0.0 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0
+0. 0.0 0. -2.7 0.0 0.0 2.7 0.0 0.0 -5.3 0.0 11.3
+DEAL::in
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0.
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0.
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 -1.7 0.0 0.0 0.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0
+0. 0.0 0. 0.0 0.0 0.0 0.0 0.0 -1.7 0.0 0.0 0.0
+0. 0.0 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+DEAL::out
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0.
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0.
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 -1.7 0.0 0.0 0.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0
+0. 0.0 0. 0.0 0.0 0.0 0.0 0.0 -1.7 0.0 0.0 0.0
+0. 0.0 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+DEAL::up
+0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
+0. -0.2 0. 0. 0.0 0.0 0.0 0. -0.2 0. 0.0 0.0
+0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
+0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
+0. 0.0 0. 0. 0.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0. 0.0 0. 0. 0.0 -2.5 -3.0 0. 0.0 0. 0.0 -0.5
+0. 0.0 0. 0. 0.0 -0.5 -3.0 0. 0.0 0. 0.0 -2.5
+DEAL::down
+0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
+0. -0.2 0. 0. 0.0 0.0 0.0 0. -0.2 0. 0.0 0.0
+0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
+0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
+0. 0.0 0. 0. 0.0 0.0 0.0 0. 0.0 0. 0.0 0.0
+0. 0.0 0. 0. 0.0 -2.5 -3.0 0. 0.0 0. 0.0 -0.5
+0. 0.0 0. 0. 0.0 -0.5 -3.0 0. 0.0 0. 0.0 -2.5
+DEAL::FE_RaviartThomas<2>(1)
+DEAL::Level 0
+DEAL::mg
+4.4 0.0 -0.1 0.0 0.0 0.0 0.0 0.0 -0.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 5.0 0.0 -0.2 0.0 0.0 0.0 0.0 0.0 0.0 -0.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+-0.1 0.0 4.8 0.0 0.0 0.0 0.0 0.0 -3.3 0.0 0.0 0.0 -0.1 0.0 0.0 0.0 0.0 0.0 -3.3 0.0 0.0 0.0
+0.0 -0.2 0.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8 0.0 0.0 -0.2 0.0 0.0 0.0 0.0 0.0 0.0 -3.8 0.0
+0.0 0.0 0.0 0.0 9.6 -0.9 -2.4 0.2 0.0 -4.2 0.0 0.7 0.0 0.0 -2.4 3.7 0.6 -0.9 0.0 1.8 0.0 -2.8
+0.0 0.0 0.0 0.0 -0.9 19.2 0.2 -4.8 0.0 0.7 0.0 -11.4 0.0 0.0 -3.7 5.6 0.9 -1.4 0.0 2.8 0.0 -4.2
+0.0 0.0 0.0 0.0 -2.4 0.2 9.6 -0.9 0.0 -4.2 0.0 0.7 0.0 0.0 0.6 -0.9 -2.4 3.7 0.0 1.8 0.0 -2.8
+0.0 0.0 0.0 0.0 0.2 -4.8 -0.9 19.2 0.0 0.7 0.0 -11.4 0.0 0.0 0.9 -1.4 -3.7 5.6 0.0 2.8 0.0 -4.2
+-0.3 0.0 -3.3 0.0 0.0 0.0 0.0 0.0 9.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0.0 0.0 0.0 0.0 -4.2 0.7 -4.2 0.7 0.0 56.4 0.0 -8.3 0.0 0.0 1.8 -2.8 1.8 -2.8 0.0 -21.6 0.0 33.3
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+DEAL::Level 1
+DEAL::mg
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+-0.9 0.4 -12.9 0.4 0.0 0.0 0.0 0.0 34.8 0.0 -5.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.3 -0.4 0.3 -0.4 0.0 0.0 -3.6 0.0 5.2 0.0 0. 0. 0. 0. 0. 0. 0. 0.
+0.0 0.0 0.0 0.0 -14.4 6.9 -26.4 6.9 0.0 196.8 0.0 -83.1 0.0 0.0 4.8 -6.9 4.8 -6.9 0.0 -57.6 0.0 83.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0.
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+0.0 0.0 0.0 0.0 6.9 -38.4 6.9 -50.4 0.0 -83.1 0.0 484.8 0.0 0.0 6.9 -9.6 6.9 -9.6 0.0 -83.1 0.0 115.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0.
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+DEAL::down
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+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 -2.1 -2.8 1.8 2.4 0.0 -4.0 0.0 -5.5 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 -0.6 -0.8 0.0 4.9 0.0 6.7
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 3.2 4.2 -2.8 -3.6 0.0 6.2 0.0 8.1 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 0.9 1.2 0.0 -7.6 0.0 -9.9
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 -0.6 -0.8 1.8 2.4 0.0 4.9 0.0 6.7 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 -2.1 -2.8 0.0 -4.0 0.0 -5.5
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 0.9 1.2 -2.8 -3.6 0.0 -7.6 0.0 -9.9 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 3.2 4.2 0.0 6.2 0.0 8.1
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 2.7 3.6 -3.6 -4.8 0.0 -18.9 0.0 -25.5 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 2.7 3.6 0.0 -18.9 0.0 -25.5
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0. 0. 0.0 0.0 -4.2 -5.4 5.5 7.2 0.0 29.1 0.0 37.8 0. 0. 0.0 0.0 0. 0. 0. 0. 0. 0. 0.0 0.0 -4.2 -5.4 0.0 29.1 0.0 37.8
std::transform (v1.begin(), v1.end(), v2.begin(),
std::bind2nd (std::multiplies<double>(),
2.0));
- v2.scale (1./2.);
+ v2 *= 1./2.;
deallog << "Check 7: " << (v1 == v2 ? "true" : "false") << std::endl;
std::transform (v1.begin(), v1.end(), v2.begin(),
std::bind2nd (std::multiplies<std::complex<double> >(),
2.0));
- v2.scale (std::complex<double>(1./2.));
+ v2 *= std::complex<double>(1./2.);
deallog << "Check 7: " << (v1 == v2 ? "true" : "false") << std::endl;
d1.sadd (2, 2, d2, 2, d3);
print (d1);
- d1.scale (4.);
+ d1 *= 4.;
print (d1);
deallog << "equ" << std::endl;
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2009 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+// check ConstraintMatrix for a distributed mesh on hyper shell with both
+// hanging nodes and normal-flux constraints on the outer boundary of the
+// shell.
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/tensor.h>
+#include <deal.II/distributed/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/grid/tria_accessor.h>
+#include <deal.II/grid/tria_iterator.h>
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/distributed/tria.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/mapping_q.h>
+#include <deal.II/lac/trilinos_vector.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <fstream>
+#include <sstream>
+
+template<int dim>
+void test()
+{
+ Assert (dim == 3, ExcNotImplemented());
+ unsigned int myid = Utilities::MPI::this_mpi_process (MPI_COMM_WORLD);
+ unsigned int numprocs = Utilities::MPI::n_mpi_processes (MPI_COMM_WORLD);
+
+ parallel::distributed::Triangulation<dim> triangulation(MPI_COMM_WORLD);
+
+ // create hypershell mesh and refine some cells. use some large numbers
+ // which make round-off influence more pronounced
+ const double R0 = 6371000.-2890000.; /* m */
+ const double R1 = 6371000.- 35000.; /* m */
+ GridGenerator::hyper_shell (triangulation,
+ Point<dim>(),
+ R0,
+ R1,
+ 96, true);
+ triangulation.refine_global (2);
+
+ for (typename Triangulation<dim>::active_cell_iterator
+ cell = triangulation.begin_active();
+ cell != triangulation.end(); ++cell)
+ if (!cell->is_ghost() && !cell->is_artificial())
+ if (cell->center()[2] > 0.75 * R1)
+ {
+ cell->set_refine_flag();
+ for (unsigned int c=0; c<8; ++c)
+ cell->parent()->child(c)->set_refine_flag();
+ }
+
+ {
+ unsigned int n_flagged_cells = 0;
+ for (typename Triangulation<dim>::active_cell_iterator
+ cell = triangulation.begin_active();
+ cell != triangulation.end(); ++cell)
+ if (!cell->is_ghost() && !cell->is_artificial())
+ if (cell->refine_flag_set())
+ ++n_flagged_cells;
+
+ unsigned int global_f_c = 0;
+ MPI_Allreduce (&n_flagged_cells, &global_f_c, 1, MPI_UNSIGNED,
+ MPI_SUM, MPI_COMM_WORLD);
+ if (myid == 0)
+ deallog << "# flagged cells = " << global_f_c << std::endl;
+ }
+
+ triangulation.prepare_coarsening_and_refinement();
+ triangulation.execute_coarsening_and_refinement ();
+
+ if (myid == 0)
+ deallog << "#cells = " << triangulation.n_global_active_cells()
+ << std::endl;
+
+ // create FE_System and fill in no-normal flux
+ // conditions on boundary 1 (outer)
+ static const FESystem<dim> fe(FE_Q<dim> (1), dim);
+ DoFHandler<dim> dofh(triangulation);
+ dofh.distribute_dofs (fe);
+ if (myid == 0)
+ deallog << "#dofs = " << dofh.locally_owned_dofs().size()
+ << std::endl;
+
+ IndexSet relevant_set;
+ DoFTools::extract_locally_relevant_dofs (dofh, relevant_set);
+
+ ConstraintMatrix constraints;
+ constraints.reinit(relevant_set);
+ DoFTools::make_hanging_node_constraints (dofh, constraints);
+ std::set<types::boundary_id> no_normal_flux_boundaries;
+ no_normal_flux_boundaries.insert (1);
+ const unsigned int degree = 1;
+ VectorTools::compute_normal_flux_constraints (dofh, 0,
+ no_normal_flux_boundaries,
+ constraints,
+ MappingQ<dim>(degree));
+ constraints.close();
+
+ // print the number of constraints. since
+ // processors might write info in different
+ // orders, copy all numbers to root processor
+ std::vector<unsigned int> n_constraints_glob (numprocs);
+ unsigned int n_constraints = constraints.n_constraints();
+ MPI_Gather (&n_constraints, 1, MPI_UNSIGNED,
+ &n_constraints_glob[0], 1, MPI_UNSIGNED, 0, MPI_COMM_WORLD);
+ if (myid == 0)
+ for (unsigned int i=0; i<numprocs; ++i)
+ deallog << "#constraints on " << i << ": " << n_constraints_glob[i]
+ << std::endl;
+
+ // dummy assembly: put 1 in all components of
+ // the vector
+ TrilinosWrappers::MPI::Vector vector;
+ vector.reinit (dofh.locally_owned_dofs(), MPI_COMM_WORLD);
+ {
+ const unsigned int dofs_per_cell = fe.dofs_per_cell;
+ std::vector<types::global_dof_index> local_dof_indices (dofs_per_cell);
+ Vector<double> local_vector (dofs_per_cell);
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ local_vector(i) = 1.;
+ typename DoFHandler<dim>::active_cell_iterator
+ cell = dofh.begin_active(),
+ endc = dofh.end();
+ for (; cell!=endc; ++cell)
+ if (cell->subdomain_id() == triangulation.locally_owned_subdomain())
+ {
+ cell->get_dof_indices (local_dof_indices);
+ constraints.distribute_local_to_global (local_vector,
+ local_dof_indices,
+ vector);
+ }
+ vector.compress (VectorOperation::add);
+ }
+
+ // now check that no entries were generated
+ // for constrained entries on the locally
+ // owned range.
+ const std::pair<unsigned int,unsigned int> range = vector.local_range();
+ for (unsigned int i=range.first; i<range.second; ++i)
+ if (constraints.is_constrained(i))
+ Assert (vector(i)==0, ExcInternalError());
+
+ if (myid==0)
+ deallog << "OK" << std::endl;
+}
+
+
+int main(int argc, char *argv[])
+{
+ {
+ Utilities::MPI::MPI_InitFinalize mpi_init (argc, argv);
+ unsigned int myid = Utilities::MPI::this_mpi_process (MPI_COMM_WORLD);
+
+
+ deallog.push(Utilities::int_to_string(myid));
+
+ if (myid == 0)
+ {
+ std::ofstream logfile(output_file_for_mpi("normal_flux_constraints").c_str());
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ deallog.push("3d");
+ test<3>();
+ deallog.pop();
+ }
+ else
+ test<3>();
+ }
+
+ return 0;
+}
--- /dev/null
+
+DEAL:0:3d::# flagged cells = 224
+DEAL:0:3d::#cells = 7712
+DEAL:0:3d::#dofs = 27018
+DEAL:0:3d::#constraints on 0: 297
+DEAL:0:3d::#constraints on 1: 1263
+DEAL:0:3d::#constraints on 2: 811
+DEAL:0:3d::#constraints on 3: 1376
+DEAL:0:3d::#constraints on 4: 841
+DEAL:0:3d::#constraints on 5: 1362
+DEAL:0:3d::#constraints on 6: 925
+DEAL:0:3d::#constraints on 7: 1217
+DEAL:0:3d::#constraints on 8: 577
+DEAL:0:3d::OK
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2000 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/multigrid/sparse_matrix_collection.h>
+
+#include <fstream>
+#include <iomanip>
+#include <iomanip>
+#include <algorithm>
+
+using namespace std;
+
+
+
+int main()
+{
+ initlog(__FILE__);
+
+ mg::SparseMatrixCollection<float> smc;
+ smc.resize(0, 5);
+
+ deallog << "matrix " << smc.matrix.min_level() << '-' << smc.matrix.max_level() << std::endl;
+ deallog << "matrix_in " << smc.matrix_in.min_level() << '-' << smc.matrix_in.max_level() << std::endl;
+ deallog << "matrix_out " << smc.matrix_out.min_level() << '-' << smc.matrix_out.max_level() << std::endl;
+ deallog << "matrix_up " << smc.matrix_up.min_level() << '-' << smc.matrix_up.max_level() << std::endl;
+ deallog << "matrix_down " << smc.matrix_down.min_level() << '-' << smc.matrix_down.max_level() << std::endl;
+}
--- /dev/null
+
+DEAL::matrix 0-5
+DEAL::matrix_in 0-5
+DEAL::matrix_out 0-5
+DEAL::matrix_up 1-5
+DEAL::matrix_down 1-5
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2003 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+/*
+ * Authors: Guido Kanschat, University of Heidelberg, 2003
+ * Baerbel Janssen, University of Heidelberg, 2010
+ * Wolfgang Bangerth, Texas A&M University, 2010
+ */
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/utilities.h>
+
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/lac/full_matrix.h>
+#include <deal.II/lac/sparse_matrix.h>
+#include <deal.II/lac/solver_cg.h>
+#include <deal.II/lac/precondition.h>
+
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/tria_accessor.h>
+#include <deal.II/grid/tria_iterator.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_refinement.h>
+#include <deal.II/grid/tria_boundary_lib.h>
+
+#include <deal.II/integrators/laplace.h>
+
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/dofs/dof_tools.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/data_out.h>
+#include <deal.II/numerics/error_estimator.h>
+
+#include <deal.II/multigrid/mg_dof_handler.h>
+#include <deal.II/multigrid/multigrid.h>
+#include <deal.II/multigrid/mg_transfer.h>
+#include <deal.II/multigrid/mg_tools.h>
+#include <deal.II/multigrid/mg_coarse.h>
+#include <deal.II/multigrid/mg_smoother.h>
+#include <deal.II/multigrid/mg_matrix.h>
+
+#include <deal.II/meshworker/dof_info.h>
+#include <deal.II/meshworker/integration_info.h>
+#include <deal.II/meshworker/simple.h>
+#include <deal.II/meshworker/output.h>
+#include <deal.II/meshworker/loop.h>
+
+#include <fstream>
+#include <sstream>
+
+using namespace dealii;
+using namespace LocalIntegrators;
+
+template <int dim>
+class LaplaceMatrix : public MeshWorker::LocalIntegrator<dim>
+{
+public:
+ LaplaceMatrix();
+ virtual void cell(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const;
+ virtual void boundary(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const;
+ virtual void face(MeshWorker::DoFInfo<dim>& dinfo1, MeshWorker::DoFInfo<dim>& dinfo2,
+ MeshWorker::IntegrationInfo<dim>& info1, MeshWorker::IntegrationInfo<dim>& info2) const;
+};
+
+
+template <int dim>
+LaplaceMatrix<dim>::LaplaceMatrix()
+ :
+ MeshWorker::LocalIntegrator<dim>(true, false, false)
+{}
+
+
+template <int dim>
+void LaplaceMatrix<dim>::cell(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const
+{
+ AssertDimension (dinfo.n_matrices(), 1);
+ Laplace::cell_matrix(dinfo.matrix(0,false).matrix, info.fe_values(0));
+}
+
+
+template <int dim>
+void LaplaceMatrix<dim>::boundary(MeshWorker::DoFInfo<dim>& dinfo,
+ typename MeshWorker::IntegrationInfo<dim>& info) const
+{
+ const unsigned int deg = info.fe_values(0).get_fe().tensor_degree();
+// Laplace::nitsche_matrix(dinfo.matrix(0,false).matrix, info.fe_values(0),
+// Laplace::compute_penalty(dinfo, dinfo, deg, deg));
+}
+
+
+template <int dim>
+void LaplaceMatrix<dim>::face(
+ MeshWorker::DoFInfo<dim>& dinfo1, MeshWorker::DoFInfo<dim>& dinfo2,
+ MeshWorker::IntegrationInfo<dim>& info1, MeshWorker::IntegrationInfo<dim>& info2) const
+{
+ const unsigned int deg = info1.fe_values(0).get_fe().tensor_degree();
+// Laplace::ip_matrix(dinfo1.matrix(0,false).matrix, dinfo1.matrix(0,true).matrix,
+// dinfo2.matrix(0,true).matrix, dinfo2.matrix(0,false).matrix,
+// info1.fe_values(0), info2.fe_values(0),
+// Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
+}
+
+template <int dim>
+class LaplaceProblem
+{
+public:
+ LaplaceProblem (const unsigned int deg);
+ void run ();
+
+private:
+ void setup_system ();
+ void assemble_system ();
+ void assemble_multigrid (const bool &use_mw);
+ void solve ();
+ void refine_grid (const std::string& reftype);
+ void output_results (const unsigned int cycle) const;
+
+ Triangulation<dim> triangulation;
+ FE_Q<dim> fe;
+ MGDoFHandler<dim> mg_dof_handler;
+
+ SparsityPattern sparsity_pattern;
+ SparseMatrix<double> system_matrix;
+
+ ConstraintMatrix hanging_node_constraints;
+ ConstraintMatrix constraints;
+
+ Vector<double> solution;
+ Vector<double> system_rhs;
+
+ const unsigned int degree;
+ LaplaceMatrix<dim> matrix_integrator;
+
+ MGLevelObject<SparsityPattern> mg_sparsity_patterns;
+ MGLevelObject<SparseMatrix<double> > mg_matrices;
+ MGLevelObject<SparseMatrix<double> > mg_interface_in;
+ MGLevelObject<SparseMatrix<double> > mg_interface_out;
+ MGConstrainedDoFs mg_constrained_dofs;
+};
+
+
+template <int dim>
+class Coefficient : public Function<dim>
+{
+public:
+ Coefficient () : Function<dim>() {}
+
+ virtual double value (const Point<dim> &p,
+ const unsigned int component = 0) const;
+
+ virtual void value_list (const std::vector<Point<dim> > &points,
+ std::vector<double> &values,
+ const unsigned int component = 0) const;
+};
+
+
+
+template <int dim>
+double Coefficient<dim>::value (const Point<dim> &p,
+ const unsigned int) const
+{
+// if (p.square() < 0.5*0.5)
+// return 20;
+// else
+ return 1;
+}
+
+
+
+template <int dim>
+void Coefficient<dim>::value_list (const std::vector<Point<dim> > &points,
+ std::vector<double> &values,
+ const unsigned int component) const
+{
+ const unsigned int n_points = points.size();
+
+ Assert (values.size() == n_points,
+ ExcDimensionMismatch (values.size(), n_points));
+
+ Assert (component == 0,
+ ExcIndexRange (component, 0, 1));
+
+ for (unsigned int i=0; i<n_points; ++i)
+ values[i] = Coefficient<dim>::value (points[i]);
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem (const unsigned int degree)
+ :
+ triangulation (Triangulation<dim>::
+ limit_level_difference_at_vertices),
+ fe (degree),
+ mg_dof_handler (triangulation),
+ degree(degree),
+ matrix_integrator()
+{}
+
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+ mg_dof_handler.distribute_dofs (fe);
+ deallog << "Number of degrees of freedom: "
+ << mg_dof_handler.n_dofs();
+
+ for (unsigned int l=0; l<triangulation.n_levels(); ++l)
+ deallog << " " << 'L' << l << ": "
+ << mg_dof_handler.n_dofs(l);
+ deallog << std::endl;
+
+ sparsity_pattern.reinit (mg_dof_handler.n_dofs(),
+ mg_dof_handler.n_dofs(),
+ mg_dof_handler.max_couplings_between_dofs());
+ DoFTools::make_sparsity_pattern (
+ static_cast<const DoFHandler<dim>&>(mg_dof_handler),
+ sparsity_pattern);
+
+ solution.reinit (mg_dof_handler.n_dofs());
+ system_rhs.reinit (mg_dof_handler.n_dofs());
+
+ constraints.clear ();
+ hanging_node_constraints.clear ();
+ DoFTools::make_hanging_node_constraints (mg_dof_handler, constraints);
+ DoFTools::make_hanging_node_constraints (mg_dof_handler, hanging_node_constraints);
+ typename FunctionMap<dim>::type dirichlet_boundary;
+ ZeroFunction<dim> homogeneous_dirichlet_bc (1);
+ dirichlet_boundary[0] = &homogeneous_dirichlet_bc;
+ MappingQ1<dim> mapping;
+ VectorTools::interpolate_boundary_values (mapping,
+ mg_dof_handler,
+ dirichlet_boundary,
+ constraints);
+ constraints.close ();
+ hanging_node_constraints.close ();
+ constraints.condense (sparsity_pattern);
+ sparsity_pattern.compress();
+ system_matrix.reinit (sparsity_pattern);
+
+ mg_constrained_dofs.clear();
+ mg_constrained_dofs.initialize(mg_dof_handler, dirichlet_boundary);
+ const unsigned int n_levels = triangulation.n_levels();
+
+ mg_interface_in.resize(0, n_levels-1);
+ mg_interface_in.clear ();
+ mg_interface_out.resize(0, n_levels-1);
+ mg_interface_out.clear ();
+ mg_matrices.resize(0, n_levels-1);
+ mg_matrices.clear ();
+ mg_sparsity_patterns.resize(0, n_levels-1);
+
+ for (unsigned int level=0; level<n_levels; ++level)
+ {
+ CompressedSparsityPattern csp;
+ csp.reinit(mg_dof_handler.n_dofs(level),
+ mg_dof_handler.n_dofs(level));
+ MGTools::make_sparsity_pattern(mg_dof_handler, csp, level);
+
+ mg_sparsity_patterns[level].copy_from (csp);
+
+ mg_matrices[level].reinit(mg_sparsity_patterns[level]);
+ mg_interface_in[level].reinit(mg_sparsity_patterns[level]);
+ mg_interface_out[level].reinit(mg_sparsity_patterns[level]);
+ }
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_system ()
+{
+ const QGauss<dim> quadrature_formula(degree+1);
+
+ FEValues<dim> fe_values (fe, quadrature_formula,
+ update_values | update_gradients |
+ update_quadrature_points | update_JxW_values);
+
+ const unsigned int dofs_per_cell = fe.dofs_per_cell;
+ const unsigned int n_q_points = quadrature_formula.size();
+
+ FullMatrix<double> cell_matrix (dofs_per_cell, dofs_per_cell);
+ Vector<double> cell_rhs (dofs_per_cell);
+
+ std::vector<types::global_dof_index> local_dof_indices (dofs_per_cell);
+
+ const Coefficient<dim> coefficient;
+ std::vector<double> coefficient_values (n_q_points);
+
+ typename MGDoFHandler<dim>::active_cell_iterator
+ cell = mg_dof_handler.begin_active(),
+ endc = mg_dof_handler.end();
+ for (; cell!=endc; ++cell)
+ {
+ cell_matrix = 0;
+ cell_rhs = 0;
+
+ fe_values.reinit (cell);
+
+ coefficient.value_list (fe_values.get_quadrature_points(),
+ coefficient_values);
+
+ for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ {
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ cell_matrix(i,j) += (coefficient_values[q_point] *
+ fe_values.shape_grad(i,q_point) *
+ fe_values.shape_grad(j,q_point) *
+ fe_values.JxW(q_point));
+
+ cell_rhs(i) += (fe_values.shape_value(i,q_point) *
+ 1.0 *
+ fe_values.JxW(q_point));
+ }
+
+ cell->get_dof_indices (local_dof_indices);
+ constraints.distribute_local_to_global (cell_matrix, cell_rhs,
+ local_dof_indices,
+ system_matrix, system_rhs);
+ }
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_multigrid (const bool& use_mw)
+{
+ if(use_mw == true)
+ {
+ mg_matrices = 0.;
+
+ MappingQ1<dim> mapping;
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_values | update_gradients | update_hessians;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(mg_dof_handler);
+
+ MeshWorker::Assembler::MGMatrixSimple<SparseMatrix<double> > assembler;
+ assembler.initialize(mg_constrained_dofs);
+ assembler.initialize(mg_matrices);
+ assembler.initialize_interfaces(mg_interface_in, mg_interface_out);
+
+ MeshWorker::integration_loop<dim, dim> (
+ mg_dof_handler.begin(), mg_dof_handler.end(),
+ dof_info, info_box, matrix_integrator, assembler);
+
+ const unsigned int nlevels = triangulation.n_levels();
+ for (unsigned int level=0;level<nlevels;++level)
+ {
+ for(unsigned int i=0; i<mg_dof_handler.n_dofs(level); ++i)
+ if(mg_matrices[level].diag_element(i)==0)
+ mg_matrices[level].set(i,i,1.);
+ }
+ }
+ else
+ {
+ QGauss<dim> quadrature_formula(1+degree);
+
+ FEValues<dim> fe_values (fe, quadrature_formula,
+ update_values | update_gradients |
+ update_quadrature_points | update_JxW_values);
+
+ const unsigned int dofs_per_cell = fe.dofs_per_cell;
+ const unsigned int n_q_points = quadrature_formula.size();
+
+ FullMatrix<double> cell_matrix (dofs_per_cell, dofs_per_cell);
+
+ std::vector<types::global_dof_index> local_dof_indices (dofs_per_cell);
+
+ const Coefficient<dim> coefficient;
+ std::vector<double> coefficient_values (n_q_points);
+
+ std::vector<std::vector<bool> > interface_dofs
+ = mg_constrained_dofs.get_refinement_edge_indices ();
+ std::vector<std::vector<bool> > boundary_interface_dofs
+ = mg_constrained_dofs.get_refinement_edge_boundary_indices ();
+
+ std::vector<ConstraintMatrix> boundary_constraints (triangulation.n_levels());
+ std::vector<ConstraintMatrix> boundary_interface_constraints (triangulation.n_levels());
+ for (unsigned int level=0; level<triangulation.n_levels(); ++level)
+ {
+ boundary_constraints[level].add_lines (interface_dofs[level]);
+ boundary_constraints[level].add_lines (mg_constrained_dofs.get_boundary_indices()[level]);
+ boundary_constraints[level].close ();
+
+ boundary_interface_constraints[level]
+ .add_lines (boundary_interface_dofs[level]);
+ boundary_interface_constraints[level].close ();
+ }
+
+ typename MGDoFHandler<dim>::cell_iterator cell = mg_dof_handler.begin(),
+ endc = mg_dof_handler.end();
+
+ for (; cell!=endc; ++cell)
+ {
+ cell_matrix = 0;
+ fe_values.reinit (cell);
+
+ coefficient.value_list (fe_values.get_quadrature_points(),
+ coefficient_values);
+
+ for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ cell_matrix(i,j) += (coefficient_values[q_point] *
+ fe_values.shape_grad(i,q_point) *
+ fe_values.shape_grad(j,q_point) *
+ fe_values.JxW(q_point));
+
+ cell->get_mg_dof_indices (local_dof_indices);
+
+ boundary_constraints[cell->level()]
+ .distribute_local_to_global (cell_matrix,
+ local_dof_indices,
+ mg_matrices[cell->level()]);
+
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ if ( !(interface_dofs[cell->level()][local_dof_indices[i]]==true &&
+ interface_dofs[cell->level()][local_dof_indices[j]]==false))
+ cell_matrix(i,j) = 0;
+
+ boundary_interface_constraints[cell->level()]
+ .distribute_local_to_global (cell_matrix,
+ local_dof_indices,
+ mg_interface_in[cell->level()]);
+ }
+ }
+
+ const unsigned int nlevels = triangulation.n_levels();
+ for (unsigned int level=1;level<nlevels;++level)
+ {
+ std::cout << "cG in " << mg_interface_in[level].l1_norm() << std::endl;
+// mg_interface_in[level].print(std::cout);
+ std::cout << "cG out " << mg_interface_out[level].l1_norm() << std::endl;
+// mg_interface_out[level].print(std::cout);
+ std::cout << std::endl;
+ }
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::solve ()
+{
+ MGTransferPrebuilt<Vector<double> > mg_transfer(hanging_node_constraints, mg_constrained_dofs);
+ mg_transfer.build_matrices(mg_dof_handler);
+
+ FullMatrix<double> coarse_matrix;
+ coarse_matrix.copy_from (mg_matrices[0]);
+ MGCoarseGridHouseholder<> coarse_grid_solver;
+ coarse_grid_solver.initialize (coarse_matrix);
+
+ typedef PreconditionSOR<SparseMatrix<double> > Smoother;
+ GrowingVectorMemory<> vector_memory;
+ MGSmootherRelaxation<SparseMatrix<double>, Smoother, Vector<double> >
+ mg_smoother;
+ mg_smoother.initialize(mg_matrices);
+ mg_smoother.set_steps(2);
+ mg_smoother.set_symmetric(true);
+
+ MGMatrix<> mg_matrix(&mg_matrices);
+ MGMatrix<> mg_interface_up(&mg_interface_in);
+ MGMatrix<> mg_interface_down(&mg_interface_in);
+
+ Multigrid<Vector<double> > mg(mg_dof_handler,
+ mg_matrix,
+ coarse_grid_solver,
+ mg_transfer,
+ mg_smoother,
+ mg_smoother);
+ mg.set_edge_matrices(mg_interface_down, mg_interface_up);
+
+ PreconditionMG<dim, Vector<double>, MGTransferPrebuilt<Vector<double> > >
+ preconditioner(mg_dof_handler, mg, mg_transfer);
+
+ SolverControl solver_control (1000, 1e-12);
+ SolverCG<> cg (solver_control);
+
+ solution = 0;
+
+ cg.solve (system_matrix, solution, system_rhs,
+ preconditioner);
+ constraints.distribute (solution);
+
+ deallog << " " << solver_control.last_step()
+ << " CG iterations needed to obtain convergence."
+ << std::endl;
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::refine_grid (const std::string& reftype)
+{
+ bool cell_refined = false;
+ if (reftype == "center" || !cell_refined)
+ {
+ for (typename Triangulation<dim>::active_cell_iterator
+ cell = triangulation.begin_active();
+ cell != triangulation.end(); ++cell)
+ for (unsigned int vertex=0;
+ vertex < GeometryInfo<dim>::vertices_per_cell;
+ ++vertex)
+ {
+ {
+ const Point<dim> p = cell->vertex(vertex);
+ const Point<dim> origin = (dim == 2 ?
+ Point<dim>(0,0) :
+ Point<dim>(0,0,0));
+ const double dist = p.distance(origin);
+ if(dist<0.25/M_PI)
+ {
+ cell->set_refine_flag ();
+ cell_refined = true;
+ break;
+ }
+ }
+ }
+ }
+ if (reftype=="global" || !cell_refined)
+ triangulation.refine_global(1);
+ else
+ triangulation.execute_coarsening_and_refinement ();
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::output_results (const unsigned int cycle) const
+{
+ DataOut<dim> data_out;
+
+ data_out.attach_dof_handler (mg_dof_handler);
+ data_out.add_data_vector (solution, "solution");
+ data_out.build_patches ();
+
+ std::ostringstream filename;
+ filename << "solution-"
+ << cycle
+ << ".vtk";
+
+ std::ofstream output (filename.str().c_str());
+ data_out.write_vtk (output);
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::run ()
+{
+ for (unsigned int cycle=0; cycle<8; ++cycle)
+ {
+ deallog << "Cycle " << cycle << ':' << std::endl;
+
+ if (cycle == 0)
+ {
+ GridGenerator::hyper_cube (triangulation, -1, 1);
+
+// static const HyperBallBoundary<dim> boundary;
+// triangulation.set_boundary (0, boundary);
+
+ triangulation.refine_global (1);
+ }
+ else
+ refine_grid ("center");
+
+
+ deallog << " Number of active cells: "
+ << triangulation.n_active_cells()
+ << std::endl;
+
+ setup_system ();
+
+ deallog << " Number of degrees of freedom: "
+ << mg_dof_handler.n_dofs()
+ << " (by level: ";
+ for (unsigned int level=0; level<triangulation.n_levels(); ++level)
+ deallog << mg_dof_handler.n_dofs(level)
+ << (level == triangulation.n_levels()-1
+ ? ")" : ", ");
+ deallog << std::endl;
+
+ assemble_system ();
+ assemble_multigrid (true);
+
+ solve ();
+// output_results (cycle);
+ }
+}
+
+
+int main ()
+{
+ initlog(__FILE__, true);
+ deallog << std::setprecision(4);
+ deallog.threshold_double(1.e-10);
+
+ try
+ {
+ deallog.depth_console (0);
+
+ LaplaceProblem<2> laplace_problem(1);
+ laplace_problem.run ();
+ }
+ catch (std::exception &exc)
+ {
+ std::cerr << std::endl << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ std::cerr << "Exception on processing: " << std::endl
+ << exc.what() << std::endl
+ << "Aborting!" << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+
+ return 1;
+ }
+ catch (...)
+ {
+ std::cerr << std::endl << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ std::cerr << "Unknown exception!" << std::endl
+ << "Aborting!" << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ return 1;
+ }
+
+ return 0;
+}
--- /dev/null
+
+DEAL::Cycle 0:
+DEAL:: Number of active cells: 20
+DEAL::Number of degrees of freedom: 25 L0: 8 L1: 25
+DEAL:: Number of degrees of freedom: 25 (by level: 8, 25)
+DEAL:cg::Starting value 0.5107
+DEAL:cg::Convergence step 7 value 0
+DEAL:: 7 CG iterations needed to obtain convergence.
+DEAL::Cycle 1:
+DEAL:: Number of active cells: 44
+DEAL::Number of degrees of freedom: 57 L0: 8 L1: 25 L2: 48
+DEAL:: Number of degrees of freedom: 57 (by level: 8, 25, 48)
+DEAL:cg::Starting value 0.4679
+DEAL:cg::Convergence step 8 value 0
+DEAL:: 8 CG iterations needed to obtain convergence.
+DEAL::Cycle 2:
+DEAL:: Number of active cells: 92
+DEAL::Number of degrees of freedom: 117 L0: 8 L1: 25 L2: 80 L3: 60
+DEAL:: Number of degrees of freedom: 117 (by level: 8, 25, 80, 60)
+DEAL:cg::Starting value 0.3390
+DEAL:cg::Convergence step 9 value 0
+DEAL:: 9 CG iterations needed to obtain convergence.
+DEAL::Cycle 3:
+DEAL:: Number of active cells: 188
+DEAL::Number of degrees of freedom: 221 L0: 8 L1: 25 L2: 80 L3: 200
+DEAL:: Number of degrees of freedom: 221 (by level: 8, 25, 80, 200)
+DEAL:cg::Starting value 0.2689
+DEAL:cg::Convergence step 12 value 0
+DEAL:: 12 CG iterations needed to obtain convergence.
+DEAL::Cycle 4:
+DEAL:: Number of active cells: 416
+DEAL::Number of degrees of freedom: 485 L0: 8 L1: 25 L2: 89 L3: 288 L4: 280
+DEAL:: Number of degrees of freedom: 485 (by level: 8, 25, 89, 288, 280)
+DEAL:cg::Starting value 0.1841
+DEAL:cg::Convergence step 13 value 0
+DEAL:: 13 CG iterations needed to obtain convergence.
+DEAL::Cycle 5:
+DEAL:: Number of active cells: 800
+DEAL::Number of degrees of freedom: 925 L0: 8 L1: 25 L2: 89 L3: 288 L4: 784 L5: 132
+DEAL:: Number of degrees of freedom: 925 (by level: 8, 25, 89, 288, 784, 132)
+DEAL:cg::Starting value 0.1440
+DEAL:cg::Convergence step 14 value 0
+DEAL:: 14 CG iterations needed to obtain convergence.
+DEAL::Cycle 6:
+DEAL:: Number of active cells: 1628
+DEAL::Number of degrees of freedom: 1865 L0: 8 L1: 25 L2: 89 L3: 304 L4: 1000 L5: 1164 L6: 72
+DEAL:: Number of degrees of freedom: 1865 (by level: 8, 25, 89, 304, 1000, 1164, 72)
+DEAL:cg::Starting value 0.1174
+DEAL:cg::Convergence step 14 value 0
+DEAL:: 14 CG iterations needed to obtain convergence.
+DEAL::Cycle 7:
+DEAL:: Number of active cells: 3194
+DEAL::Number of degrees of freedom: 3603 L0: 8 L1: 25 L2: 89 L3: 328 L4: 1032 L5: 2200 L6: 1392
+DEAL:: Number of degrees of freedom: 3603 (by level: 8, 25, 89, 328, 1032, 2200, 1392)
+DEAL:cg::Starting value 0.09098
+DEAL:cg::Convergence step 16 value 0
+DEAL:: 16 CG iterations needed to obtain convergence.
#include "../tests.h"
#include <deal.II/base/logstream.h>
-// As discussed in the introduction, most of
-// this program is copied almost verbatim
-// from step-6, which itself is only a slight
-// modification of step-5. Consequently, a
-// significant part of this program is not
-// new if you've read all the material up to
-// step-6, and we won't comment on that part
-// of the functionality that is
-// unchanged. Rather, we will focus on those
-// aspects of the program that have to do
-// with the multigrid functionality which
-// forms the new aspect of this tutorial
-// program.
-
-// @sect3{Include files}
-
-// Again, the first few include files
-// are already known, so we won't
-// comment on them:
#include <deal.II/base/quadrature_lib.h>
#include <deal.II/base/function.h>
#include <deal.II/base/logstream.h>
#include <deal.II/numerics/data_out.h>
#include <deal.II/numerics/error_estimator.h>
-// These, now, are the include necessary for
-// the multi-level methods. The first two
-// declare classes that allow us to enumerate
-// degrees of freedom not only on the finest
-// mesh level, but also on intermediate
-// levels (that's what the MGDoFHandler class
-// does) as well as allow to access this
-// information (iterators and accessors over
-// these cells).
-//
-// The rest of the include files deals with
-// the mechanics of multigrid as a linear
-// operator (solver or preconditioner).
#include <deal.II/multigrid/mg_dof_handler.h>
#include <deal.II/multigrid/multigrid.h>
#include <deal.II/multigrid/mg_transfer.h>
#include <deal.II/multigrid/mg_smoother.h>
#include <deal.II/multigrid/mg_matrix.h>
-// This is C++:
#include <fstream>
#include <sstream>
-// The last step is as in all
-// previous programs:
using namespace dealii;
-
-// @sect3{The <code>LaplaceProblem</code> class template}
-
-// This main class is basically the same
-// class as in step-6. As far as member
-// functions is concerned, the only addition
-// is the <code>assemble_multigrid</code>
-// function that assembles the matrices that
-// correspond to the discrete operators on
-// intermediate levels:
template <int dim>
class LaplaceProblem
{
const unsigned int degree;
- // The following three objects are the
- // only additional member variables,
- // compared to step-6. They represent the
- // operators that act on individual
- // levels of the multilevel hierarchy,
- // rather than on the finest mesh as do
- // the objects above.
- //
- // To facilitate having objects on each
- // level of a multilevel hierarchy,
- // deal.II has the MGLevelObject class
- // template that provides storage for
- // objects on each level. What we need
- // here are matrices on each level, which
- // implies that we also need sparsity
- // patterns on each level. As outlined in
- // the @ref mg_paper, the operators
- // (matrices) that we need are actually
- // twofold: one on the interior of each
- // level, and one at the interface
- // between each level and that part of
- // the domain where the mesh is
- // coarser. In fact, we will need the
- // latter in two versions: for the
- // direction from coarse to fine mesh and
- // from fine to coarse. Fortunately,
- // however, we here have a self-adjoint
- // problem for which one of these is the
- // transpose of the other, and so we only
- // have to build one; we choose the one
- // from coarse to fine.
MGLevelObject<SparsityPattern> mg_sparsity_patterns;
MGLevelObject<SparseMatrix<double> > mg_matrices;
MGLevelObject<SparseMatrix<double> > mg_interface_matrices;
};
-
-// @sect3{Nonconstant coefficients}
-
-// The implementation of nonconstant
-// coefficients is copied verbatim
-// from step-5 and step-6:
-
template <int dim>
class Coefficient : public Function<dim>
{
}
-// @sect3{The <code>LaplaceProblem</code> class implementation}
-
-// @sect4{LaplaceProblem::LaplaceProblem}
-
-// The constructor is left mostly
-// unchanged. We take the polynomial degree
-// of the finite elements to be used as a
-// constructor argument and store it in a
-// member variable.
-//
-// By convention, all adaptively refined
-// triangulations in deal.II never change by
-// more than one level across a face between
-// cells. For our multigrid algorithms,
-// however, we need a slightly stricter
-// guarantee, namely that the mesh also does
-// not change by more than refinement level
-// across vertices that might connect two
-// cells. In other words, we must prevent the
-// following situation:
-//
-// @image html limit_level_difference_at_vertices.png ""
-//
-// This is achieved by passing the
-// Triangulation::limit_level_difference_at_vertices
-// flag to the constructor of the
-// triangulation class.
template <int dim>
LaplaceProblem<dim>::LaplaceProblem (const unsigned int degree)
:
{}
-
-// @sect4{LaplaceProblem::setup_system}
-
-// The following function extends what the
-// corresponding one in step-6 did. The top
-// part, apart from the additional output,
-// does the same:
template <int dim>
void LaplaceProblem<dim>::setup_system ()
{
mg_dof_handler.distribute_dofs (fe);
-
- // Here we output not only the
- // degrees of freedom on the finest
- // level, but also in the
- // multilevel structure
deallog << "Number of degrees of freedom: "
<< mg_dof_handler.n_dofs();
solution.reinit (mg_dof_handler.n_dofs());
system_rhs.reinit (mg_dof_handler.n_dofs());
- // But it starts to be a wee bit different
- // here, although this still doesn't have
- // anything to do with multigrid
- // methods. step-6 took care of boundary
- // values and hanging nodes in a separate
- // step after assembling the global matrix
- // from local contributions. This works,
- // but the same can be done in a slightly
- // simpler way if we already take care of
- // these constraints at the time of copying
- // local contributions into the global
- // matrix. To this end, we here do not just
- // compute the constraints do to hanging
- // nodes, but also due to zero boundary
- // conditions. Both kinds of constraints
- // can be put into the same object
- // (<code>constraints</code>), and we will
- // use this set of constraints later on to
- // help us copy local contributions
- // correctly into the global linear system
- // right away, without the need for a later
- // clean-up stage:
constraints.clear ();
hanging_node_constraints.clear ();
DoFTools::make_hanging_node_constraints (mg_dof_handler, constraints);
mg_constrained_dofs.clear();
mg_constrained_dofs.initialize(mg_dof_handler, dirichlet_boundary);
- // Now for the things that concern the
- // multigrid data structures. First, we
- // resize the multi-level objects to hold
- // matrices and sparsity patterns for every
- // level. The coarse level is zero (this is
- // mandatory right now but may change in a
- // future revision). Note that these
- // functions take a complete, inclusive
- // range here (not a starting index and
- // size), so the finest level is
- // <code>n_levels-1</code>. We first have
- // to resize the container holding the
- // SparseMatrix classes, since they have to
- // release their SparsityPattern before the
- // can be destroyed upon resizing.
const unsigned int n_levels = triangulation.n_levels();
mg_interface_matrices.resize(0, n_levels-1);
mg_matrices.clear ();
mg_sparsity_patterns.resize(0, n_levels-1);
- // Now, we have to provide a matrix on each
- // level. To this end, we first use the
- // MGTools::make_sparsity_pattern function
- // to first generate a preliminary
- // compressed sparsity pattern on each
- // level (see the @ref Sparsity module for
- // more information on this topic) and then
- // copy it over to the one we really
- // want. The next step is to initialize
- // both kinds of level matrices with these
- // sparsity patterns.
- //
- // It may be worth pointing out that the
- // interface matrices only have entries for
- // degrees of freedom that sit at or next
- // to the interface between coarser and
- // finer levels of the mesh. They are
- // therefore even sparser than the matrices
- // on the individual levels of our
- // multigrid hierarchy. If we were more
- // concerned about memory usage (and
- // possibly the speed with which we can
- // multiply with these matrices), we should
- // use separate and different sparsity
- // patterns for these two kinds of
- // matrices.
for (unsigned int level=0; level<n_levels; ++level)
{
CompressedSparsityPattern csp;
}
-// @sect4{LaplaceProblem::assemble_system}
-
-// The following function assembles the
-// linear system on the finesh level of the
-// mesh. It is almost exactly the same as in
-// step-6, with the exception that we don't
-// eliminate hanging nodes and boundary
-// values after assembling, but while copying
-// local contributions into the global
-// matrix. This is not only simpler but also
-// more efficient for large problems.
template <int dim>
void LaplaceProblem<dim>::assemble_system ()
{
}
-// @sect4{LaplaceProblem::assemble_multigrid}
-
-// The next function is the one that builds
-// the linear operators (matrices) that
-// define the multigrid method on each level
-// of the mesh. The integration core is the
-// same as above, but the loop below will go
-// over all existing cells instead of just
-// the active ones, and the results must be
-// entered into the correct matrix. Note also
-// that since we only do multi-level
-// preconditioning, no right-hand side needs
-// to be assembled here.
-//
-// Before we go there, however, we have to
-// take care of a significant amount of book
-// keeping:
template <int dim>
void LaplaceProblem<dim>::assemble_multigrid ()
{
const Coefficient<dim> coefficient;
std::vector<double> coefficient_values (n_q_points);
- // Next a few things that are specific to
- // building the multigrid data structures
- // (since we only need them in the current
- // function, rather than also elsewhere, we
- // build them here instead of the
- // <code>setup_system</code>
- // function). Some of the following may be
- // a bit obscure if you're not familiar
- // with the algorithm actually implemented
- // in deal.II to support multilevel
- // algorithms on adaptive meshes; if some
- // of the things below seem strange, take a
- // look at the @ref mg_paper.
- //
- // Our first job is to identify those
- // degrees of freedom on each level that
- // are located on interfaces between
- // adaptively refined levels, and those
- // that lie on the interface but also on
- // the exterior boundary of the domain. As
- // in many other parts of the library, we
- // do this by using boolean masks,
- // i.e. vectors of booleans each element of
- // which indicates whether the
- // corresponding degree of freedom index is
- // an interface DoF or not:
std::vector<std::vector<bool> > interface_dofs
= mg_constrained_dofs.get_refinement_edge_indices ();
std::vector<std::vector<bool> > boundary_interface_dofs
= mg_constrained_dofs.get_refinement_edge_boundary_indices ();
-
- // The indices just identified will later
- // be used to impose zero boundary
- // conditions for the operator that we will
- // apply on each level. On the other hand,
- // we also have to impose zero boundary
- // conditions on the external boundary of
- // each level. So let's identify these
- // nodes as well (this time as a set of
- // degrees of freedom, rather than a
- // boolean mask; the reason for this being
- // that we will not need fast tests whether
- // a certain degree of freedom is in the
- // boundary list, though we will need such
- // access for the interface degrees of
- // freedom further down below):
-
- // The third step is to construct
- // constraints on all those degrees of
- // freedom: their value should be zero
- // after each application of the level
- // operators. To this end, we construct
- // ConstraintMatrix objects for each level,
- // and add to each of these constraints for
- // each degree of freedom. Due to the way
- // the ConstraintMatrix stores its data,
- // the function to add a constraint on a
- // single degree of freedom and force it to
- // be zero is called
- // Constraintmatrix::add_line(); doing so
- // for several degrees of freedom at once
- // can be done using
- // Constraintmatrix::add_lines():
std::vector<ConstraintMatrix> boundary_constraints (triangulation.n_levels());
std::vector<ConstraintMatrix> boundary_interface_constraints (triangulation.n_levels());
for (unsigned int level=0; level<triangulation.n_levels(); ++level)
boundary_interface_constraints[level].close ();
}
- // Now that we're done with most of our
- // preliminaries, let's start the
- // integration loop. It looks mostly like
- // the loop in
- // <code>assemble_system</code>, with two
- // exceptions: (i) we don't need a right
- // han side, and more significantly (ii) we
- // don't just loop over all active cells,
- // but in fact all cells, active or
- // not. Consequently, the correct iterator
- // to use is MGDoFHandler::cell_iterator
- // rather than
- // MGDoFHandler::active_cell_iterator. Let's
- // go about it:
typename MGDoFHandler<dim>::cell_iterator cell = mg_dof_handler.begin(),
endc = mg_dof_handler.end();
fe_values.shape_grad(j,q_point) *
fe_values.JxW(q_point));
- // The rest of the assembly is again
- // slightly different. This starts with
- // a gotcha that is easily forgotten:
- // The indices of global degrees of
- // freedom we want here are the ones
- // for current level, not for the
- // global matrix. We therefore need the
- // function
- // MGDoFAccessorLLget_mg_dof_indices,
- // not MGDoFAccessor::get_dof_indices
- // as used in the assembly of the
- // global system:
cell->get_mg_dof_indices (local_dof_indices);
- // Next, we need to copy local
- // contributions into the level
- // objects. We can do this in the same
- // way as in the global assembly, using
- // a constraint object that takes care
- // of constrained degrees (which here
- // are only boundary nodes, as the
- // individual levels have no hanging
- // node constraints). Note that the
- // <code>boundary_constraints</code>
- // object makes sure that the level
- // matrices contains no contributions
- // from degrees of freedom at the
- // interface between cells of different
- // refinement level.
boundary_constraints[cell->level()]
.distribute_local_to_global (cell_matrix,
local_dof_indices,
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// Add edge matrices and MGConstraints to make sure they are empty and do not mess things up
+
+#include "../tests.h"
+#include <deal.II/lac/sparse_matrix.h>
+#include <deal.II/lac/compressed_sparsity_pattern.h>
+#include <deal.II/lac/solver_cg.h>
+#include <deal.II/lac/precondition.h>
+#include <deal.II/lac/precondition_block.h>
+#include <deal.II/lac/block_vector.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_refinement.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_dgp.h>
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/multigrid/mg_dof_handler.h>
+
+#include <deal.II/meshworker/dof_info.h>
+#include <deal.II/meshworker/integration_info.h>
+#include <deal.II/meshworker/assembler.h>
+#include <deal.II/meshworker/loop.h>
+
+#include <deal.II/integrators/laplace.h>
+
+#include <deal.II/multigrid/mg_tools.h>
+#include <deal.II/multigrid/multigrid.h>
+#include <deal.II/multigrid/mg_matrix.h>
+#include <deal.II/multigrid/mg_transfer.h>
+#include <deal.II/multigrid/mg_coarse.h>
+#include <deal.II/multigrid/mg_smoother.h>
+#include <deal.II/multigrid/mg_constrained_dofs.h>
+
+#include <deal.II/base/function_lib.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/data_out.h>
+
+#include <iostream>
+#include <fstream>
+
+namespace Step39
+{
+ using namespace dealii;
+
+ Functions::SlitSingularityFunction<2> exact_solution;
+
+
+
+
+ template <int dim>
+ class MatrixIntegrator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void MatrixIntegrator<dim>::cell(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ LocalIntegrators::Laplace::cell_matrix(dinfo.matrix(0,false).matrix, info.fe_values());
+ }
+
+
+ template <int dim>
+ void MatrixIntegrator<dim>::boundary(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const unsigned int deg = info.fe_values(0).get_fe().tensor_degree();
+ LocalIntegrators::Laplace::nitsche_matrix(
+ dinfo.matrix(0,false).matrix, info.fe_values(0),
+ LocalIntegrators::Laplace::compute_penalty(dinfo, dinfo, deg, deg));
+ }
+
+ template <int dim>
+ void MatrixIntegrator<dim>::face(
+ MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const
+ {
+ const unsigned int deg = info1.fe_values(0).get_fe().tensor_degree();
+ LocalIntegrators::Laplace::ip_matrix(
+ dinfo1.matrix(0,false).matrix, dinfo1.matrix(0,true).matrix,
+ dinfo2.matrix(0,true).matrix, dinfo2.matrix(0,false).matrix,
+ info1.fe_values(0), info2.fe_values(0),
+ LocalIntegrators::Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
+ }
+
+ template <int dim>
+ class RHSIntegrator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void RHSIntegrator<dim>::cell(MeshWorker::DoFInfo<dim> &, typename MeshWorker::IntegrationInfo<dim> &) const
+ {}
+
+
+ template <int dim>
+ void RHSIntegrator<dim>::boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+ Vector<double> &local_vector = dinfo.vector(0).block(0);
+
+ std::vector<double> boundary_values(fe.n_quadrature_points);
+ exact_solution.value_list(fe.get_quadrature_points(), boundary_values);
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty = 2. * deg * (deg+1) * dinfo.face->measure() / dinfo.cell->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ for (unsigned int i=0; i<fe.dofs_per_cell; ++i)
+ local_vector(i) += (- fe.shape_value(i,k) * penalty * boundary_values[k]
+ + (fe.normal_vector(k) * fe.shape_grad(i,k)) * boundary_values[k])
+ * fe.JxW(k);
+ }
+
+
+ template <int dim>
+ void RHSIntegrator<dim>::face(MeshWorker::DoFInfo<dim> &,
+ MeshWorker::DoFInfo<dim> &,
+ typename MeshWorker::IntegrationInfo<dim> &,
+ typename MeshWorker::IntegrationInfo<dim> &) const
+ {}
+
+
+ template <int dim>
+ class Estimator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void Estimator<dim>::cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+
+ const std::vector<Tensor<2,dim> > &DDuh = info.hessians[0][0];
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ const double t = dinfo.cell->diameter() * trace(DDuh[k]);
+ dinfo.value(0) += t*t * fe.JxW(k);
+ }
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ }
+
+ template <int dim>
+ void Estimator<dim>::boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+
+ std::vector<double> boundary_values(fe.n_quadrature_points);
+ exact_solution.value_list(fe.get_quadrature_points(), boundary_values);
+
+ const std::vector<double> &uh = info.values[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty = 2. * deg * (deg+1) * dinfo.face->measure() / dinfo.cell->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ dinfo.value(0) += penalty * (boundary_values[k] - uh[k]) * (boundary_values[k] - uh[k])
+ * fe.JxW(k);
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ }
+
+
+ template <int dim>
+ void Estimator<dim>::face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const
+ {
+ const FEValuesBase<dim> &fe = info1.fe_values();
+ const std::vector<double> &uh1 = info1.values[0][0];
+ const std::vector<double> &uh2 = info2.values[0][0];
+ const std::vector<Tensor<1,dim> > &Duh1 = info1.gradients[0][0];
+ const std::vector<Tensor<1,dim> > &Duh2 = info2.gradients[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty1 = deg * (deg+1) * dinfo1.face->measure() / dinfo1.cell->measure();
+ const double penalty2 = deg * (deg+1) * dinfo2.face->measure() / dinfo2.cell->measure();
+ const double penalty = penalty1 + penalty2;
+ const double h = dinfo1.face->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ double diff1 = uh1[k] - uh2[k];
+ double diff2 = fe.normal_vector(k) * Duh1[k] - fe.normal_vector(k) * Duh2[k];
+ dinfo1.value(0) += (penalty * diff1*diff1 + h * diff2*diff2)
+ * fe.JxW(k);
+ }
+ dinfo1.value(0) = std::sqrt(dinfo1.value(0));
+ dinfo2.value(0) = dinfo1.value(0);
+ }
+
+
+
+ template <int dim>
+ class ErrorIntegrator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void ErrorIntegrator<dim>::cell(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+ std::vector<Tensor<1,dim> > exact_gradients(fe.n_quadrature_points);
+ std::vector<double> exact_values(fe.n_quadrature_points);
+
+ exact_solution.gradient_list(fe.get_quadrature_points(), exact_gradients);
+ exact_solution.value_list(fe.get_quadrature_points(), exact_values);
+
+ const std::vector<Tensor<1,dim> > &Duh = info.gradients[0][0];
+ const std::vector<double> &uh = info.values[0][0];
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ double sum = 0;
+ for (unsigned int d=0; d<dim; ++d)
+ {
+ const double diff = exact_gradients[k][d] - Duh[k][d];
+ sum += diff*diff;
+ }
+ const double diff = exact_values[k] - uh[k];
+ dinfo.value(0) += sum * fe.JxW(k);
+ dinfo.value(1) += diff*diff * fe.JxW(k);
+ }
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ dinfo.value(1) = std::sqrt(dinfo.value(1));
+ }
+
+
+ template <int dim>
+ void ErrorIntegrator<dim>::boundary(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+
+ std::vector<double> exact_values(fe.n_quadrature_points);
+ exact_solution.value_list(fe.get_quadrature_points(), exact_values);
+
+ const std::vector<double> &uh = info.values[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty = 2. * deg * (deg+1) * dinfo.face->measure() / dinfo.cell->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ const double diff = exact_values[k] - uh[k];
+ dinfo.value(0) += penalty * diff * diff * fe.JxW(k);
+ }
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ }
+
+
+ template <int dim>
+ void ErrorIntegrator<dim>::face(
+ MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const
+ {
+ const FEValuesBase<dim> &fe = info1.fe_values();
+ const std::vector<double> &uh1 = info1.values[0][0];
+ const std::vector<double> &uh2 = info2.values[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty1 = deg * (deg+1) * dinfo1.face->measure() / dinfo1.cell->measure();
+ const double penalty2 = deg * (deg+1) * dinfo2.face->measure() / dinfo2.cell->measure();
+ const double penalty = penalty1 + penalty2;
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ double diff = uh1[k] - uh2[k];
+ dinfo1.value(0) += (penalty * diff*diff)
+ * fe.JxW(k);
+ }
+ dinfo1.value(0) = std::sqrt(dinfo1.value(0));
+ dinfo2.value(0) = dinfo1.value(0);
+ }
+
+
+
+
+ template <int dim>
+ class InteriorPenaltyProblem
+ {
+ public:
+ typedef MeshWorker::IntegrationInfo<dim> CellInfo;
+
+ InteriorPenaltyProblem(const FiniteElement<dim> &fe);
+
+ void run(unsigned int n_steps);
+
+ private:
+ void setup_system ();
+ void assemble_matrix ();
+ void assemble_mg_matrix ();
+ void assemble_right_hand_side ();
+ void error ();
+ double estimate ();
+ void solve ();
+ void output_results (const unsigned int cycle) const;
+
+ Triangulation<dim> triangulation;
+ const MappingQ1<dim> mapping;
+ const FiniteElement<dim> &fe;
+ MGDoFHandler<dim> mg_dof_handler;
+ DoFHandler<dim> &dof_handler;
+ MGConstrainedDoFs mg_constraints;
+
+ SparsityPattern sparsity;
+ SparseMatrix<double> matrix;
+ Vector<double> solution;
+ Vector<double> right_hand_side;
+ BlockVector<double> estimates;
+
+ MGLevelObject<SparsityPattern> mg_sparsity;
+ MGLevelObject<SparseMatrix<double> > mg_matrix;
+
+ MGLevelObject<SparsityPattern> mg_sparsity_dg_interface;
+ MGLevelObject<SparseMatrix<double> > mg_matrix_dg_down;
+ MGLevelObject<SparseMatrix<double> > mg_matrix_dg_up;
+ MGLevelObject<SparseMatrix<double> > mg_matrix_in_out;
+ };
+
+
+ template <int dim>
+ InteriorPenaltyProblem<dim>::InteriorPenaltyProblem(const FiniteElement<dim> &fe)
+ :
+ mapping(),
+ fe(fe),
+ mg_dof_handler(triangulation),
+ dof_handler(mg_dof_handler),
+ estimates(1)
+ {
+ GridGenerator::hyper_cube_slit(triangulation, -1, 1);
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::setup_system()
+ {
+ dof_handler.distribute_dofs(fe);
+ unsigned int n_dofs = dof_handler.n_dofs();
+ solution.reinit(n_dofs);
+ right_hand_side.reinit(n_dofs);
+
+ mg_constraints.clear();
+ mg_constraints.initialize(dof_handler);
+
+ CompressedSparsityPattern c_sparsity(n_dofs);
+ DoFTools::make_flux_sparsity_pattern(dof_handler, c_sparsity);
+ sparsity.copy_from(c_sparsity);
+ matrix.reinit(sparsity);
+
+ const unsigned int n_levels = triangulation.n_levels();
+ mg_matrix.resize(0, n_levels-1);
+ mg_matrix.clear();
+ mg_matrix_dg_up.resize(0, n_levels-1);
+ mg_matrix_dg_up.clear();
+ mg_matrix_dg_down.resize(0, n_levels-1);
+ mg_matrix_dg_down.clear();
+ mg_matrix_in_out.resize(0, n_levels-1);
+ mg_matrix_in_out.clear();
+ mg_sparsity.resize(0, n_levels-1);
+ mg_sparsity_dg_interface.resize(0, n_levels-1);
+
+ for (unsigned int level=mg_sparsity.min_level();
+ level<=mg_sparsity.max_level(); ++level)
+ {
+ CompressedSparsityPattern c_sparsity(mg_dof_handler.n_dofs(level));
+ MGTools::make_flux_sparsity_pattern(mg_dof_handler, c_sparsity, level);
+ mg_sparsity[level].copy_from(c_sparsity);
+ mg_matrix[level].reinit(mg_sparsity[level]);
+ mg_matrix_in_out[level].reinit(mg_sparsity[level]);
+
+ if (level>0)
+ {
+ CompressedSparsityPattern ci_sparsity;
+ ci_sparsity.reinit(mg_dof_handler.n_dofs(level-1), mg_dof_handler.n_dofs(level));
+ MGTools::make_flux_sparsity_pattern_edge(mg_dof_handler, ci_sparsity, level);
+ mg_sparsity_dg_interface[level].copy_from(ci_sparsity);
+ mg_matrix_dg_up[level].reinit(mg_sparsity_dg_interface[level]);
+ mg_matrix_dg_down[level].reinit(mg_sparsity_dg_interface[level]);
+ }
+ }
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::assemble_matrix()
+ {
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_values | update_gradients;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::MatrixSimple<SparseMatrix<double> > assembler;
+ assembler.initialize(matrix);
+
+ MatrixIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim>(
+ dof_handler.begin_active(), dof_handler.end(),
+ dof_info, info_box,
+ integrator, assembler);
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::assemble_mg_matrix()
+ {
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_values | update_gradients;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(mg_dof_handler);
+
+ MeshWorker::Assembler::MGMatrixSimple<SparseMatrix<double> > assembler;
+ assembler.initialize(mg_matrix);
+ assembler.initialize(mg_constraints);
+ assembler.initialize_interfaces(mg_matrix_in_out, mg_matrix_in_out);
+ assembler.initialize_fluxes(mg_matrix_dg_up, mg_matrix_dg_down);
+
+ MatrixIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim> (
+ mg_dof_handler.begin(), mg_dof_handler.end(),
+ dof_info, info_box,
+ integrator, assembler);
+
+ for (unsigned int level=mg_matrix_in_out.min_level();
+ level<=mg_matrix_in_out.min_level(); ++level)
+ if (mg_matrix_in_out[level].frobenius_norm() != 0.)
+ deallog << "Oops!" << std::endl;
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::assemble_right_hand_side()
+ {
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_quadrature_points | update_values | update_gradients;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::ResidualSimple<Vector<double> > assembler;
+ NamedData<Vector<double>* > data;
+ Vector<double> *rhs = &right_hand_side;
+ data.add(rhs, "RHS");
+ assembler.initialize(data);
+
+ RHSIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim>(
+ dof_handler.begin_active(), dof_handler.end(),
+ dof_info, info_box,
+ integrator, assembler);
+
+ right_hand_side *= -1.;
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::solve()
+ {
+ SolverControl control(1000, 1.e-12);
+ SolverCG<Vector<double> > solver(control);
+
+ MGTransferPrebuilt<Vector<double> > mg_transfer;
+ mg_transfer.build_matrices(mg_dof_handler);
+
+ FullMatrix<double> coarse_matrix;
+ coarse_matrix.copy_from (mg_matrix[0]);
+ MGCoarseGridHouseholder<double, Vector<double> > mg_coarse;
+ mg_coarse.initialize(coarse_matrix);
+
+ GrowingVectorMemory<Vector<double> > mem;
+ typedef PreconditionSOR<SparseMatrix<double> > RELAXATION;
+ mg::SmootherRelaxation<RELAXATION, Vector<double> >
+ mg_smoother;
+ RELAXATION::AdditionalData smoother_data(1.);
+ mg_smoother.initialize(mg_matrix, smoother_data);
+
+ mg_smoother.set_steps(2);
+ mg_smoother.set_symmetric(true);
+ mg_smoother.set_variable(false);
+
+ MGMatrix<SparseMatrix<double>, Vector<double> > mgmatrix(&mg_matrix);
+ MGMatrix<SparseMatrix<double>, Vector<double> > mgdown(&mg_matrix_dg_down);
+ MGMatrix<SparseMatrix<double>, Vector<double> > mgup(&mg_matrix_dg_up);
+ MGMatrix<SparseMatrix<double>, Vector<double> > mgedge(&mg_matrix_in_out);
+
+ Multigrid<Vector<double> > mg(mg_dof_handler, mgmatrix,
+ mg_coarse, mg_transfer,
+ mg_smoother, mg_smoother);
+ mg.set_edge_flux_matrices(mgdown, mgup);
+ mg.set_edge_matrices(mgedge, mgedge);
+
+ PreconditionMG<dim, Vector<double>,
+ MGTransferPrebuilt<Vector<double> > >
+ preconditioner(mg_dof_handler, mg, mg_transfer);
+ solver.solve(matrix, solution, right_hand_side, preconditioner);
+ }
+
+
+ template <int dim>
+ double
+ InteriorPenaltyProblem<dim>::estimate()
+ {
+ std::vector<unsigned int> old_user_indices;
+ triangulation.save_user_indices(old_user_indices);
+
+ estimates.block(0).reinit(triangulation.n_active_cells());
+ unsigned int i=0;
+ for (typename Triangulation<dim>::active_cell_iterator cell = triangulation.begin_active();
+ cell != triangulation.end(); ++cell,++i)
+ cell->set_user_index(i);
+
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ const unsigned int n_gauss_points = dof_handler.get_fe().tensor_degree()+1;
+ info_box.initialize_gauss_quadrature(n_gauss_points, n_gauss_points+1, n_gauss_points);
+
+ NamedData<Vector<double>* > solution_data;
+ solution_data.add(&solution, "solution");
+
+ info_box.cell_selector.add("solution", false, false, true);
+ info_box.boundary_selector.add("solution", true, true, false);
+ info_box.face_selector.add("solution", true, true, false);
+
+ info_box.add_update_flags_boundary(update_quadrature_points);
+ info_box.initialize(fe, mapping, solution_data);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::CellsAndFaces<double> assembler;
+ NamedData<BlockVector<double>* > out_data;
+ BlockVector<double> *est = &estimates;
+ out_data.add(est, "cells");
+ assembler.initialize(out_data, false);
+
+ Estimator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim> (
+ dof_handler.begin_active(), dof_handler.end(),
+ dof_info, info_box,
+ integrator, assembler);
+
+ triangulation.load_user_indices(old_user_indices);
+ return estimates.block(0).l2_norm();
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::error()
+ {
+ BlockVector<double> errors(2);
+ errors.block(0).reinit(triangulation.n_active_cells());
+ errors.block(1).reinit(triangulation.n_active_cells());
+ unsigned int i=0;
+ for (typename Triangulation<dim>::active_cell_iterator cell = triangulation.begin_active();
+ cell != triangulation.end(); ++cell,++i)
+ cell->set_user_index(i);
+
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ const unsigned int n_gauss_points = dof_handler.get_fe().tensor_degree()+1;
+ info_box.initialize_gauss_quadrature(n_gauss_points, n_gauss_points+1, n_gauss_points);
+
+ NamedData<Vector<double>* > solution_data;
+ solution_data.add(&solution, "solution");
+
+ info_box.cell_selector.add("solution", true, true, false);
+ info_box.boundary_selector.add("solution", true, false, false);
+ info_box.face_selector.add("solution", true, false, false);
+
+ info_box.add_update_flags_cell(update_quadrature_points);
+ info_box.add_update_flags_boundary(update_quadrature_points);
+ info_box.initialize(fe, mapping, solution_data);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::CellsAndFaces<double> assembler;
+ NamedData<BlockVector<double>* > out_data;
+ BlockVector<double> *est = &errors;
+ out_data.add(est, "cells");
+ assembler.initialize(out_data, false);
+
+ ErrorIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim> (
+ dof_handler.begin_active(), dof_handler.end(),
+ dof_info, info_box,
+ integrator, assembler);
+
+ deallog << "energy-error: " << errors.block(0).l2_norm() << std::endl;
+ deallog << "L2-error: " << errors.block(1).l2_norm() << std::endl;
+ }
+
+
+ template <int dim>
+ void InteriorPenaltyProblem<dim>::output_results (const unsigned int cycle) const
+ {
+ char *fn = new char[100];
+ sprintf(fn, "step-39-02/sol-%02d", cycle);
+
+ std::string filename(fn);
+ filename += ".gnuplot";
+ deallog << "Writing solution to <" << filename << ">..."
+ << std::endl << std::endl;
+ std::ofstream gnuplot_output (filename.c_str());
+
+ DataOut<dim> data_out;
+ data_out.attach_dof_handler (dof_handler);
+ data_out.add_data_vector (solution, "u");
+ data_out.add_data_vector (estimates.block(0), "est");
+
+ data_out.build_patches ();
+
+ data_out.write_gnuplot(gnuplot_output);
+ }
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::run(unsigned int n_steps)
+ {
+ deallog << "Element: " << fe.get_name() << std::endl;
+ for (unsigned int s=0; s<n_steps; ++s)
+ {
+ deallog << "Step " << s << std::endl;
+ if (estimates.block(0).size() == 0)
+ triangulation.refine_global(1);
+ else
+ {
+ GridRefinement::refine_and_coarsen_fixed_fraction (triangulation,
+ estimates.block(0),
+ 0.5, 0.0);
+ triangulation.execute_coarsening_and_refinement ();
+ }
+
+ deallog << "Triangulation "
+ << triangulation.n_active_cells() << " cells, "
+ << triangulation.n_levels() << " levels" << std::endl;
+
+ setup_system();
+ deallog << "DoFHandler " << dof_handler.n_dofs() << " dofs, level dofs";
+ for (unsigned int l=0; l<triangulation.n_levels(); ++l)
+ deallog << ' ' << mg_dof_handler.n_dofs(l);
+ deallog << std::endl;
+
+ deallog << "Assemble matrix" << std::endl;
+ assemble_matrix();
+ deallog << "Assemble multilevel matrix" << std::endl;
+ assemble_mg_matrix();
+ deallog << "Assemble right hand side" << std::endl;
+ assemble_right_hand_side();
+ deallog << "Solve" << std::endl;
+ solve();
+ error();
+ deallog << "Estimate " << estimate() << std::endl;
+ //output_results(s);
+ }
+ }
+}
+
+
+
+int main()
+{
+ try
+ {
+ using namespace dealii;
+ using namespace Step39;
+ initlog(__FILE__);
+
+ FE_DGQ<2> fe1(2);
+ InteriorPenaltyProblem<2> test1(fe1);
+ test1.run(6);
+ }
+ catch (std::exception &exc)
+ {
+ std::cerr << std::endl << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ std::cerr << "Exception on processing: " << std::endl
+ << exc.what() << std::endl
+ << "Aborting!" << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ return 1;
+ }
+ catch (...)
+ {
+ std::cerr << std::endl << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ std::cerr << "Unknown exception!" << std::endl
+ << "Aborting!" << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ return 1;
+ }
+
+ return 0;
+}
--- /dev/null
+
+DEAL::Element: FE_DGQ<2>(2)
+DEAL::Step 0
+DEAL::Triangulation 16 cells, 2 levels
+DEAL::DoFHandler 144 dofs, level dofs 36 144
+DEAL::Assemble matrix
+DEAL::Assemble multilevel matrix
+DEAL::Assemble right hand side
+DEAL::Solve
+DEAL:cg::Starting value 23.0730
+DEAL:cg::Convergence step 11 value 5.78162e-14
+DEAL::energy-error: 0.439211
+DEAL::L2-error: 0.0109342
+DEAL::Estimate 0.979555
+DEAL::Step 1
+DEAL::Triangulation 25 cells, 3 levels
+DEAL::DoFHandler 225 dofs, level dofs 36 144 108
+DEAL::Assemble matrix
+DEAL::Assemble multilevel matrix
+DEAL::Assemble right hand side
+DEAL::Solve
+DEAL:cg::Starting value 23.0730
+DEAL:cg::Convergence step 11 value 9.37499e-13
+DEAL::energy-error: 0.332582
+DEAL::L2-error: 0.00548996
+DEAL::Estimate 0.838060
+DEAL::Step 2
+DEAL::Triangulation 37 cells, 4 levels
+DEAL::DoFHandler 333 dofs, level dofs 36 144 144 108
+DEAL::Assemble matrix
+DEAL::Assemble multilevel matrix
+DEAL::Assemble right hand side
+DEAL::Solve
+DEAL:cg::Starting value 23.0730
+DEAL:cg::Convergence step 12 value 3.41649e-13
+DEAL::energy-error: 0.237705
+DEAL::L2-error: 0.00250869
+DEAL::Estimate 0.611449
+DEAL::Step 3
+DEAL::Triangulation 58 cells, 5 levels
+DEAL::DoFHandler 522 dofs, level dofs 36 144 180 180 144
+DEAL::Assemble matrix
+DEAL::Assemble multilevel matrix
+DEAL::Assemble right hand side
+DEAL::Solve
+DEAL:cg::Starting value 23.4898
+DEAL:cg::Convergence step 12 value 5.58516e-13
+DEAL::energy-error: 0.170860
+DEAL::L2-error: 0.00120805
+DEAL::Estimate 0.452418
+DEAL::Step 4
+DEAL::Triangulation 85 cells, 6 levels
+DEAL::DoFHandler 765 dofs, level dofs 36 144 360 180 180 108
+DEAL::Assemble matrix
+DEAL::Assemble multilevel matrix
+DEAL::Assemble right hand side
+DEAL::Solve
+DEAL:cg::Starting value 25.9490
+DEAL:cg::Convergence step 13 value 2.71720e-13
+DEAL::energy-error: 0.122755
+DEAL::L2-error: 0.000602816
+DEAL::Estimate 0.332525
+DEAL::Step 5
+DEAL::Triangulation 130 cells, 7 levels
+DEAL::DoFHandler 1170 dofs, level dofs 36 144 432 432 180 180 144
+DEAL::Assemble matrix
+DEAL::Assemble multilevel matrix
+DEAL::Assemble right hand side
+DEAL::Solve
+DEAL:cg::Starting value 27.1421
+DEAL:cg::Convergence step 13 value 2.50045e-13
+DEAL::energy-error: 0.0869445
+DEAL::L2-error: 0.000292783
+DEAL::Estimate 0.236647