245c2a539eda2c9fedd439b55d0db619dd64babd
[LbmBenchmarkKernelsPublic.git] / src / BenchKernelD3Q19ListAaRia.c
1 // --------------------------------------------------------------------------
2 //
3 // Copyright
4 //   Markus Wittmann, 2016-2017
5 //   RRZE, University of Erlangen-Nuremberg, Germany
6 //   markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
7 //
8 //   Viktor Haag, 2016
9 //   LSS, University of Erlangen-Nuremberg, Germany
10 //
11 //  This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
12 //
13 //  LbmBenchKernels is free software: you can redistribute it and/or modify
14 //  it under the terms of the GNU General Public License as published by
15 //  the Free Software Foundation, either version 3 of the License, or
16 //  (at your option) any later version.
17 //
18 //  LbmBenchKernels is distributed in the hope that it will be useful,
19 //  but WITHOUT ANY WARRANTY; without even the implied warranty of
20 //  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
21 //  GNU General Public License for more details.
22 //
23 //  You should have received a copy of the GNU General Public License
24 //  along with LbmBenchKernels.  If not, see <http://www.gnu.org/licenses/>.
25 //
26 // --------------------------------------------------------------------------
27 #include "BenchKernelD3Q19ListAaRiaCommon.h"
28
29 #include "Memory.h"
30 #include "Vtk.h"
31 #include "LikwidIf.h"
32
33 #include <inttypes.h>
34 #include <math.h>
35
36 #ifdef _OPENMP
37         #include <omp.h>
38 #endif
39
40 void FNAME(D3Q19ListAaRiaKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
41 {
42         Assert(ld != NULL);
43         Assert(kernelData != NULL);
44         Assert(cd != NULL);
45
46         Assert(cd->Omega > 0.0);
47         Assert(cd->Omega < 2.0);
48
49         KernelData * kd = (KernelData *)kernelData;
50         KernelDataList * kdl = KDL(kernelData);
51         KernelDataListRia * kdlr = KDLR(kernelData);
52         PdfT omega = cd->Omega;
53         PdfT omegaEven = omega;
54         // 1/ 4: best stability;
55         // 1/12: removes third-order advection error (best advection);
56         // 1/ 6: removes fourth-order diffusion error (best diffusion);
57         // 3/16: exact location of bounce back for poiseuille flow
58         PdfT magicParam = F(1.0) / F(12.0);
59         PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
60
61         PdfT evenPart = F(0.0);
62         PdfT oddPart = F(0.0);
63         PdfT dir_indep_trm = F(0.0);
64
65         const PdfT w_0 = F(1.0) /  F(3.0);
66         const PdfT w_1 = F(1.0) / F(18.0);
67         const PdfT w_2 = F(1.0) / F(36.0);
68
69         const PdfT w_1_x3 = w_1 * F(3.0);       const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);       PdfT w_1_indep = F(0.0);
70         const PdfT w_2_x3 = w_2 * F(3.0);       const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);       PdfT w_2_indep = F(0.0);
71
72         PdfT ui;
73
74         PdfT ux, uy, uz;
75         PdfT dens;
76
77         // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
78         #define X(name, idx, idxinv, x, y, z)   PdfT JOIN(pdf_,name);
79         D3Q19_LIST
80         #undef X
81
82         // Declare pointers to pdfs ppdf_N, ppdf_E, ppdf_S, ppdf_W, ...
83         #define X(name, idx, idxinv, x, y, z)   PdfT * JOIN(ppdf_,name) = NULL;
84         D3Q19_LIST
85         #undef X
86
87         uint32_t nConsecNodes = kdlr->nConsecNodes;
88         uint32_t * consecNodes = kdlr->ConsecNodes;
89         uint32_t consecIndex = 0;
90         uint32_t consecValue = 0;
91
92 #ifndef DEBUG
93         UNUSED(nConsecNodes);
94 #endif
95
96         PdfT * src = kd->Pdfs[0];
97
98         int maxIterations = cd->MaxIterations;
99         int nFluid = kdl->nFluid;
100         int nCells = kdl->nCells;
101
102         uint32_t adjListIndex;
103         uint32_t * adjList = kdl->AdjList;
104
105
106
107         #ifdef VTK_OUTPUT
108                 if (cd->VtkOutput) {
109                         kd->PdfsActive = src;
110                         VtkWrite(ld, kd, cd, -1);
111                 }
112         #endif
113
114         #ifdef STATISTICS
115                 kd->PdfsActive = src;
116                 KernelStatistics(kd, ld, cd, 0);
117         #endif
118
119         // TODO: outer openmp parallel
120         for(int iter = 0; iter < maxIterations; iter += 2) {
121
122                 X_LIKWID_START("list-aa-ria-even");
123
124                 // --------------------------------------------------------------------
125                 // even time step
126                 // --------------------------------------------------------------------
127                 #ifdef _OPENMP
128                         #pragma omp parallel for default(none) \
129                                         shared(stderr, nFluid, nCells, kd, kdl, adjList, omegaOdd, omegaEven, src) \
130                                         private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
131                                                 pdf_C, \
132                                                 pdf_N, pdf_E, pdf_S, pdf_W, \
133                                                 pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
134                                                 pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
135                                                 pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW)
136                 #endif
137                 #ifdef INTEL_OPT_DIRECTIVES
138                         #pragma ivdep
139                         #pragma vector always
140                         #pragma simd
141                 #endif
142                 for (int index = 0; index < nFluid; ++index) {
143
144                         #define I(index, dir)   P_INDEX_3((nCells), (index), (dir))
145
146                         #define X(name, idx, idxinv, _x, _y, _z)        JOIN(pdf_,name) = src[I(index, idx)];
147                         D3Q19_LIST
148                         #undef X
149
150 // #define LID_DRIVEN_CAVITY
151
152 #ifdef LID_DRIVEN_CAVITY
153                         int nX = kd->Dims[0];
154                         int nY = kd->Dims[1];
155                         int nZ = kd->Dims[2];
156
157                         int x = kdl->Coords[C_INDEX_X(index)];
158                         int y = kdl->Coords[C_INDEX_Y(index)];
159                         int z = kdl->Coords[C_INDEX_Z(index)];
160
161                         if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
162                                 ux = F(0.1) * F(0.5)77;
163                                 uy = F(0.0);
164                                 uz = F(0.0);
165                         } else {
166 #endif
167                                 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
168                                          pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
169                                 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
170                                          pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
171                                 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
172                                          pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
173 #ifdef LID_DRIVEN_CAVITY
174                         }
175 #endif
176
177                         dens = pdf_C +
178                                    pdf_N  + pdf_E  + pdf_S  + pdf_W  +
179                                    pdf_NE + pdf_SE + pdf_SW + pdf_NW +
180                                    pdf_T  + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
181                                    pdf_B  + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
182
183                         dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
184
185                         // direction: w_0
186                         src[I(index, D3Q19_C)             ]  = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
187
188                         // direction: w_1
189                         w_1_indep = w_1*dir_indep_trm;
190
191                         ui = uy;
192                         evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
193                         oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
194                         src[I(index, D3Q19_S)]  = pdf_N - evenPart - oddPart;
195                         src[I(index, D3Q19_N)]  = pdf_S - evenPart + oddPart;
196
197                         ui = ux;
198                         evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
199                         oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
200                         src[I(index, D3Q19_W)]  = pdf_E - evenPart - oddPart;
201                         src[I(index, D3Q19_E)]  = pdf_W - evenPart + oddPart;
202
203                         ui = uz;
204                         evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
205                         oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
206                         src[I(index, D3Q19_B)]  = pdf_T - evenPart - oddPart;
207                         src[I(index, D3Q19_T)]  = pdf_B - evenPart + oddPart;
208
209                         // direction: w_2
210                         w_2_indep = w_2*dir_indep_trm;
211
212                         ui = -ux + uy;
213                         evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
214                         oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
215                         src[I(index, D3Q19_SE)] = pdf_NW - evenPart - oddPart;
216                         src[I(index, D3Q19_NW)] = pdf_SE - evenPart + oddPart;
217
218                         ui = ux + uy;
219                         evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
220                         oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
221                         src[I(index, D3Q19_SW)] = pdf_NE - evenPart - oddPart;
222                         src[I(index, D3Q19_NE)] = pdf_SW - evenPart + oddPart;
223
224                         ui = -ux + uz;
225                         evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
226                         oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
227                         src[I(index, D3Q19_BE)] = pdf_TW - evenPart - oddPart;
228                         src[I(index, D3Q19_TW)] = pdf_BE - evenPart + oddPart;
229
230                         ui = ux + uz;
231                         evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
232                         oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
233                         src[I(index, D3Q19_BW)] = pdf_TE - evenPart - oddPart;
234                         src[I(index, D3Q19_TE)] = pdf_BW - evenPart + oddPart;
235
236                         ui = -uy + uz;
237                         evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
238                         oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
239                         src[I(index, D3Q19_BN)] = pdf_TS - evenPart - oddPart;
240                         src[I(index, D3Q19_TS)] = pdf_BN - evenPart + oddPart;
241
242                         ui = uy + uz;
243                         evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
244                         oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
245                         src[I(index, D3Q19_BS)] = pdf_TN - evenPart - oddPart;
246                         src[I(index, D3Q19_TN)] = pdf_BS - evenPart + oddPart;
247
248                 } // (parallel) loop over fluid nodes
249
250                 X_LIKWID_STOP("list-aa-ria-even");
251
252                 // save current iteration
253                 kdl->Iteration = iter;
254                 #ifdef VERIFICATION
255                         kd->PdfsActive = src;
256                         KernelAddBodyForce(kd, ld, cd);
257                 #endif
258
259                 // --------------------------------------------------------------------
260                 // odd time step
261                 // --------------------------------------------------------------------
262
263                 X_LIKWID_START("list-aa-ria-odd");
264
265                 #ifdef _OPENMP
266                         #pragma omp parallel default(none) \
267                                         shared(stderr, nFluid, nCells, kd, kdl, kdlr, adjList, omegaOdd, omegaEven, src, consecNodes, nConsecNodes) \
268                                         private(ux, uy, uz, dens, adjListIndex, evenPart, oddPart, dir_indep_trm, w_1_indep, w_2_indep, ui,\
269                                                 pdf_C, \
270                                                 pdf_N, pdf_E, pdf_S, pdf_W, \
271                                                 pdf_NE, pdf_SE, pdf_SW, pdf_NW, \
272                                                 pdf_T, pdf_TN, pdf_TE, pdf_TS, pdf_TW, \
273                                                 pdf_B, pdf_BN, pdf_BE, pdf_BS, pdf_BW, \
274                                                 ppdf_C, \
275                                                 ppdf_N, ppdf_E, ppdf_S, ppdf_W, \
276                                                 ppdf_NE, ppdf_SE, ppdf_SW, ppdf_NW, \
277                                                 ppdf_T, ppdf_TN, ppdf_TE, ppdf_TS, ppdf_TW, \
278                                                 ppdf_B, ppdf_BN, ppdf_BE, ppdf_BS, ppdf_BW, \
279                                                 consecValue, consecIndex)
280                 #endif
281                 {
282                         int threadId = 0;
283
284                         #ifdef _OPENMP
285                                 threadId = omp_get_thread_num();
286                         #endif
287
288                         consecIndex = kdlr->ConsecThreadIndices[threadId];
289                         consecValue = 0;
290
291                         int * threadIndices = kdlr->FluidNodeThreadIndices;
292
293                         int nFluidThread = threadIndices[threadId + 1] - threadIndices[threadId];
294
295                         int indexStart = threadIndices[threadId];
296                         int indexStop  = threadIndices[threadId] + nFluidThread;
297
298                         // Because of runlength coding iterations are not independent.
299                         for (int index = indexStart; index < indexStop; ++index) {
300
301                                 #define I(index, dir)   P_INDEX_3((nCells), (index), (dir))
302
303 #if 1
304                                 if (consecValue > 0) {
305                                         --consecValue;
306                                         // Increment all pdf pointers.
307                                         #define X(name, idx, idxinv, _x, _y, _z)        ++JOIN(ppdf_,name);
308                                         D3Q19_LIST
309                                         #undef X
310                                 }
311                                 else {
312                                         Assert(consecIndex < nConsecNodes);
313
314                                         consecValue = consecNodes[consecIndex] - 1;
315                                         // Load new pointers to PDFs of local cell:
316
317                                         adjListIndex = index * N_D3Q19_IDX;
318
319                                         #define X(name, idx, idxinv, _x, _y, _z)        JOIN(ppdf_,name) = &(src[adjList[adjListIndex + idxinv]]);
320                                         D3Q19_LIST_WO_C
321                                         #undef X
322
323                                         ppdf_C = &(src[P_INDEX_3(nCells, index, D3Q19_C)]);
324                                         ++consecIndex;
325                                 }
326
327                                 #define X(name, idx, idxinv, _x, _y, _z)        JOIN(pdf_,name) = *JOIN(ppdf_,name);
328                                 D3Q19_LIST
329                                 #undef X
330 #else
331                                 adjListIndex = index * N_D3Q19_IDX;
332
333                                 // Load PDFs of local cell: pdf_N = src[adjList[adjListIndex + D3Q19_S]]; ...
334                                 pdf_C = src[P_INDEX_3(nCells, index, D3Q19_C)];
335
336                                 #define X(name, idx, idxinv, _x, _y, _z)        JOIN(ppdf_,name) = &(src[adjList[adjListIndex + idxinv]]);
337                                 D3Q19_LIST_WO_C
338                                 #undef X
339
340                                 #define X(name, idx, idxinv, _x, _y, _z)        JOIN(pdf_,name) = src[adjList[adjListIndex + idxinv]];
341                                 D3Q19_LIST_WO_C
342                                 #undef X
343 #endif
344
345 #ifdef LID_DRIVEN_CAVITY
346                                 int nX = kd->Dims[0];
347                                 int nY = kd->Dims[1];
348                                 int nZ = kd->Dims[2];
349
350                                 int x = kdl->Coords[C_INDEX_X(index)];
351                                 int y = kdl->Coords[C_INDEX_Y(index)];
352                                 int z = kdl->Coords[C_INDEX_Z(index)];
353
354                                 if (z == nZ - 4 && x > 3 && x < (nX - 4) && y > 3 && y < (nY - 4)) {
355                                         ux = F(0.1) * F(0.5)77;
356                                         uy = F(0.0);
357                                         uz = F(0.0);
358                                 } else {
359 #endif
360                                         ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
361                                                  pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
362                                         uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
363                                                  pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
364                                         uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
365                                                  pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
366 #ifdef LID_DRIVEN_CAVITY
367                                 }
368 #endif
369
370                                 dens = pdf_C +
371                                            pdf_N  + pdf_E  + pdf_S  + pdf_W  +
372                                            pdf_NE + pdf_SE + pdf_SW + pdf_NW +
373                                            pdf_T  + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
374                                            pdf_B  + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
375
376                                 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*F(3.0)/F(2.0);
377
378                                 adjListIndex = index * N_D3Q19_IDX;
379
380                                 // direction: w_0
381                                 src[I(index, D3Q19_C)             ]  = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
382
383                                 // direction: w_1
384                                 w_1_indep = w_1*dir_indep_trm;
385
386                                 ui = uy;
387                                 evenPart = omegaEven*( F(0.5)*(pdf_N + pdf_S) - ui*ui*w_1_nine_half - w_1_indep );
388                                 oddPart = omegaOdd*(F(0.5)*(pdf_N - pdf_S) - ui*w_1_x3 );
389                                 *ppdf_S  = pdf_N - evenPart - oddPart;
390                                 *ppdf_N  = pdf_S - evenPart + oddPart;
391
392                                 ui = ux;
393                                 evenPart = omegaEven*( F(0.5)*(pdf_E + pdf_W) - ui*ui*w_1_nine_half - w_1_indep );
394                                 oddPart = omegaOdd*(F(0.5)*(pdf_E - pdf_W) - ui*w_1_x3 );
395                                 *ppdf_W  = pdf_E - evenPart - oddPart;
396                                 *ppdf_E  = pdf_W - evenPart + oddPart;
397
398                                 ui = uz;
399                                 evenPart = omegaEven*( F(0.5)*(pdf_T + pdf_B) - ui*ui*w_1_nine_half - w_1_indep );
400                                 oddPart = omegaOdd*(F(0.5)*(pdf_T - pdf_B) - ui*w_1_x3 );
401                                 *ppdf_B  = pdf_T - evenPart - oddPart;
402                                 *ppdf_T  = pdf_B - evenPart + oddPart;
403
404                                 // direction: w_2
405                                 w_2_indep = w_2*dir_indep_trm;
406
407                                 ui = -ux + uy;
408                                 evenPart = omegaEven*( F(0.5)*(pdf_NW + pdf_SE) - ui*ui*w_2_nine_half - w_2_indep );
409                                 oddPart = omegaOdd*(F(0.5)*(pdf_NW - pdf_SE) - ui*w_2_x3 );
410                                 *ppdf_SE = pdf_NW - evenPart - oddPart;
411                                 *ppdf_NW = pdf_SE - evenPart + oddPart;
412
413                                 ui = ux + uy;
414                                 evenPart = omegaEven*( F(0.5)*(pdf_NE + pdf_SW) - ui*ui*w_2_nine_half - w_2_indep );
415                                 oddPart = omegaOdd*(F(0.5)*(pdf_NE - pdf_SW) - ui*w_2_x3 );
416                                 *ppdf_SW = pdf_NE - evenPart - oddPart;
417                                 *ppdf_NE = pdf_SW - evenPart + oddPart;
418
419                                 ui = -ux + uz;
420                                 evenPart = omegaEven*( F(0.5)*(pdf_TW + pdf_BE) - ui*ui*w_2_nine_half - w_2_indep );
421                                 oddPart = omegaOdd*(F(0.5)*(pdf_TW - pdf_BE) - ui*w_2_x3 );
422                                 *ppdf_BE = pdf_TW - evenPart - oddPart;
423                                 *ppdf_TW = pdf_BE - evenPart + oddPart;
424
425                                 ui = ux + uz;
426                                 evenPart = omegaEven*( F(0.5)*(pdf_TE + pdf_BW) - ui*ui*w_2_nine_half - w_2_indep );
427                                 oddPart = omegaOdd*(F(0.5)*(pdf_TE - pdf_BW) - ui*w_2_x3 );
428                                 *ppdf_BW = pdf_TE - evenPart - oddPart;
429                                 *ppdf_TE = pdf_BW - evenPart + oddPart;
430
431                                 ui = -uy + uz;
432                                 evenPart = omegaEven*( F(0.5)*(pdf_TS + pdf_BN) - ui*ui*w_2_nine_half - w_2_indep );
433                                 oddPart = omegaOdd*(F(0.5)*(pdf_TS - pdf_BN) - ui*w_2_x3 );
434                                 *ppdf_BN = pdf_TS - evenPart - oddPart;
435                                 *ppdf_TS = pdf_BN - evenPart + oddPart;
436
437                                 ui = uy + uz;
438                                 evenPart = omegaEven*( F(0.5)*(pdf_TN + pdf_BS) - ui*ui*w_2_nine_half - w_2_indep );
439                                 oddPart = omegaOdd*(F(0.5)*(pdf_TN - pdf_BS) - ui*w_2_x3 );
440                                 *ppdf_BS = pdf_TN - evenPart - oddPart;
441                                 *ppdf_TN = pdf_BS - evenPart + oddPart;
442
443                                 #undef I
444                         } // loop over fluid nodes
445                 } // end pragma omp parallel
446
447                 X_LIKWID_STOP("list-aa-ria-odd");
448
449                 // save current iteration
450                 kdl->Iteration = iter + 1;
451
452                 #ifdef VERIFICATION
453                         kd->PdfsActive = src;
454                         KernelAddBodyForce(kd, ld, cd);
455                 #endif
456
457                 #ifdef VTK_OUTPUT
458                         if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
459                                 kd->PdfsActive = src;
460                                 VtkWrite(ld, kd, cd, iter);
461                         }
462                 #endif
463
464                 #ifdef STATISTICS
465                         kd->PdfsActive = src;
466                         KernelStatistics(kd, ld, cd, iter);
467                 #endif
468
469
470         } // for (int iter = 0; ...
471
472 #ifdef VTK_OUTPUT
473         if (cd->VtkOutput) {
474                 kd->PdfsActive = src;
475                 VtkWrite(ld, kd, cd, maxIterations);
476         }
477 #endif
478
479 #ifdef STATISTICS
480         kd->PdfsActive = src;
481         KernelStatistics(kd, ld, cd, maxIterations);
482 #endif
483
484         return;
485 }
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