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[LbmBenchmarkKernelsPublic.git] / src / BenchKernelD3Q19ListAaPvGatherAoSoA.c
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MW		 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// Michael Hussnaetter, 2017-2018
12// University of Erlangen-Nuremberg, Germany
13// michael.hussnaetter -at- fau.de
14//
15// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
16//
17// LbmBenchKernels is free software: you can redistribute it and/or modify
18// it under the terms of the GNU General Public License as published by
19// the Free Software Foundation, either version 3 of the License, or
20// (at your option) any later version.
21//
22// LbmBenchKernels is distributed in the hope that it will be useful,
23// but WITHOUT ANY WARRANTY; without even the implied warranty of
24// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
25// GNU General Public License for more details.
26//
27// You should have received a copy of the GNU General Public License
28// along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
29//
30// --------------------------------------------------------------------------
31#include "BenchKernelD3Q19ListAaPvGatherAoSoACommon.h"
32
33#include "Base.h"
34#include "Memory.h"
35#include "Vtk.h"
36#include "Vector.h"
37
38#include <inttypes.h>
39#include <math.h>
40
41#ifdef _OPENMP
42#include <omp.h>
43#endif
44
45#ifdef LIKWID_PERFMON
46#include <likwid.h>
47#else
48#define LIKWID_MARKER_INIT
49#define LIKWID_MARKER_THREADINIT
50#define LIKWID_MARKER_SWITCH
51#define LIKWID_MARKER_REGISTER(regionTag)
52#define LIKWID_MARKER_START(regionTag)
53#define LIKWID_MARKER_STOP(regionTag)
54#define LIKWID_MARKER_CLOSE
55#define LIKWID_MARKER_GET(regionTag, nevents, events, time, count)
56#endif
57
58//enable software prefetchting for vectorized gather/scatter loop in odd kernel
59#ifndef SOFTWARE_PREFETCH_LOOKAHEAD_L2
60#define SOFTWARE_PREFETCH_LOOKAHEAD_L2 (0) //prefetchting X SIMD widths ahead
61#endif
62
63#ifndef SOFTWARE_PREFETCH_LOOKAHEAD_L1
64#define SOFTWARE_PREFETCH_LOOKAHEAD_L1 (0) //prefetchting X SIMD widths ahead
65#endif
66
67static void KernelEven(LatticeDesc * ld, KernelData * kernelData, CaseData * cd, int * threadIndices);
68static void KernelOdd( LatticeDesc * ld, KernelData * kernelData, CaseData * cd, int * threadIndices);
69
70void FNAME(D3Q19ListAaPvGatherAoSoAKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd)
71{
72
73 Assert(ld != NULL);
74 Assert(kernelData != NULL);
75 Assert(cd != NULL);
76
77 Assert(cd->Omega > 0.0);
78 Assert(cd->Omega < 2.0);
79
80#if defined(VTK_OUTPUT) || defined(STATISTICS) || defined(VERIFICATION)
81 KernelData * kd = (KernelData *)kernelData;
82#endif
83 KernelDataList * kdl = KDL(kernelData);
84
85 int maxIterations = cd->MaxIterations;
86 int nFluid = kdl->nFluid;
87
88 printf("\n");
89#if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0) || (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0)
90 printf("# Software prefetching enabled:\n");
91 printf("# Gather/Scatter prefetch lookahead L2: \t%d\n", SOFTWARE_PREFETCH_LOOKAHEAD_L2);
92 printf("# Gather/Scatter prefetch lookahead L1: \t%d\n", SOFTWARE_PREFETCH_LOOKAHEAD_L1);
93#else
94 printf("# Software prefetching disabled.\n");
95#endif
96 printf("\n");
97
98 int nThreads = 1;
99#ifdef _OPENMP
100 nThreads = omp_get_max_threads();
101#endif
102
103 int * threadIndices = (int *)malloc(sizeof(int) * (nThreads + 1));
104 for (int i = 0; i < nThreads; ++i) {
105 threadIndices[i] = i * (nFluid / nThreads) + MinI(i, nFluid % nThreads);
106 }
107
108 threadIndices[nThreads] = nFluid;
109
110#ifdef VTK_OUTPUT
111 if (cd->VtkOutput) {
112 kd->PdfsActive = kd->Pdfs[0];
113 VtkWrite(ld, kd, cd, -1);
114 }
115#endif
116
117#ifdef STATISTICS
118 kd->PdfsActive = kd->Pdfs[0];
119 KernelStatistics(kd, ld, cd, 0);
120#endif
121
122 LIKWID_MARKER_INIT;
123
124 X_KERNEL_START(kernelData);
125
126 // TODO: outer openmp parallel
127
128 LIKWID_MARKER_START("OuterLoop");
129 for(int iter = 0; iter < maxIterations; iter += 2) {
130
131 // even time step
132
133#ifdef _OPENMP
134#pragma omp parallel default(none) shared(ld, kernelData, cd, threadIndices)
135#endif
136 {
137 KernelEven(ld, kernelData, cd, threadIndices);
138 }
139
140
141#ifdef VERIFICATION
142 kdl->Iteration = iter;
143 kd->PdfsActive = kd->Pdfs[0];
144 KernelAddBodyForce(kd, ld, cd);
145#endif
146
147 // odd time step
148
149#ifdef _OPENMP
150#pragma omp parallel default(none) shared(ld, kernelData, cd, threadIndices)
151#endif
152 {
153 KernelOdd(ld, kernelData, cd, threadIndices);
154 }
155
156
157#ifdef VERIFICATION
158 kdl->Iteration = iter + 1;
159 kd->PdfsActive = kd->Pdfs[0];
160 KernelAddBodyForce(kd, ld, cd);
161#endif
162
163#ifdef VTK_OUTPUT
164 if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
165 kdl->Iteration = iter + 1;
166 kd->PdfsActive = kd->Pdfs[0];
167 VtkWrite(ld, kd, cd, iter);
168 }
169#endif
170
171#ifdef STATISTICS
172 kdl->Iteration = iter + 1;
173 kd->PdfsActive = kd->Pdfs[0];
174 KernelStatistics(kd, ld, cd, iter);
175#endif
176
177 } // for (int iter = 0; ...
178 LIKWID_MARKER_STOP("OuterLoop");
179
180 X_KERNEL_END(kernelData);
181
182#ifdef VTK_OUTPUT
183 if (cd->VtkOutput) {
184 kd->PdfsActive = kd->Pdfs[0];
185 VtkWrite(ld, kd, cd, maxIterations);
186 }
187#endif
188
189#ifdef STATISTICS
190 kd->PdfsActive = kd->Pdfs[0];
191 KernelStatistics(kd, ld, cd, maxIterations);
192#endif
193
194 LIKWID_MARKER_CLOSE;
195 free(threadIndices);
196
197 return;
198}
199
200static void KernelEven(LatticeDesc * ld, KernelData * kernelData, CaseData * cd, int * threadIndices)
201{
202 Assert(ld != NULL);
203 Assert(kernelData != NULL);
204 Assert(cd != NULL);
205
206 Assert(cd->Omega > 0.0);
207 Assert(cd->Omega < 2.0);
208
209 KernelData * kd = (KernelData *)kernelData;
210 KernelDataList * kdl = KDL(kernelData);
211
212 PdfT omega = cd->Omega;
213 PdfT omegaEven = omega;
214
215 PdfT magicParam = 1.0 / 12.0;
216 PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
217
218 PdfT evenPart = 0.0;
219 PdfT oddPart = 0.0;
220 PdfT dir_indep_trm = 0.0;
221
222 const PdfT w_0 = 1.0 / 3.0;
223 const PdfT w_1 = 1.0 / 18.0;
224 const PdfT w_2 = 1.0 / 36.0;
225
226 const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0; PdfT w_1_indep = 0.0;
227 const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0; PdfT w_2_indep = 0.0;
228
229 PdfT ux, uy, uz, ui;
230 PdfT dens;
231
232 VPDFT VONE_HALF = VSET(0.5);
233 VPDFT VTHREE_HALF = VSET(3.0 / 2.0);
234
235 VPDFT vw_1_indep, vw_2_indep;
236 VPDFT vw_0 = VSET(w_0);
237 VPDFT vw_1 = VSET(w_1);
238 VPDFT vw_2 = VSET(w_2);
239
240 VPDFT vw_1_x3 = VSET(w_1_x3);
241 VPDFT vw_2_x3 = VSET(w_2_x3);
242 VPDFT vw_1_nine_half = VSET(w_1_nine_half);
243 VPDFT vw_2_nine_half = VSET(w_2_nine_half);
244
245 VPDFT vui, vux, vuy, vuz, vdens;
246
247 VPDFT vevenPart, voddPart, vdir_indep_trm;
248
249 VPDFT vomegaEven = VSET(omegaEven);
250 VPDFT vomegaOdd = VSET(omegaOdd);
251
252 // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
253 #define X(name, idx, idxinv, x, y, z) \
254 PdfT JOIN(pdf_,name); \
255 PdfT * JOIN(ppdf_,name); \
256 VPDFT JOIN(vpdf_,name);
257 D3Q19_LIST
258 #undef X
259
260 PdfT * src = kd->Pdfs[0];
261
262 int nCells = kdl->nCells;
263
264 int threadId = 0;
265#ifdef _OPENMP
266 threadId = omp_get_thread_num();
267#endif
268
269
270 int indexStart = threadIndices[threadId];
271 int nFluidThread = threadIndices[threadId + 1] - threadIndices[threadId];
272 int indexStop = indexStart + nFluidThread;
273
274 int indexStartVec = ((indexStart + VSIZE - 1) / VSIZE) * VSIZE;
275 int nFluidVec = (indexStop / VSIZE) * VSIZE - indexStartVec;
276 int indexStopVec = indexStartVec + nFluidVec;
277
278 #define I(index, dir) P_INDEX_3((nCells), (index), (dir))
279
280 #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[I(indexStart, idx)]);
281 D3Q19_LIST
282 #undef X
283
284 for (int index = indexStart; index < indexStartVec; ++index) {
285
286 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = *(JOIN(ppdf_,name));
287 D3Q19_LIST
288 #undef X
289
290 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
291 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
292 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
293 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
294 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
295 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
296
297 dens = pdf_C +
298 pdf_N + pdf_E + pdf_S + pdf_W +
299 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
300 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
301 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
302
303 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
304
305 // direction: w_0
306 *ppdf_C = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
307
308 // direction: w_1
309 w_1_indep = w_1*dir_indep_trm;
310
311 #define COLLIDE_AA_S(tmpUi, dir1, dir2) \
312 ui = tmpUi; \
313 evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
314 oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_1_x3); \
315 *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \
316 *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart;
317
318 COLLIDE_AA_S(uy, N, S)
319 COLLIDE_AA_S(ux, E, W)
320 COLLIDE_AA_S(uz, T, B)
321
322 #undef COLLIDE_AA_S
323
324 // direction: w_2
325 w_2_indep = w_2*dir_indep_trm;
326
327 #define COLLIDE_UA_S(tmpUi, dir1, dir2) \
328 ui = tmpUi; \
329 evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
330 oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_2_x3); \
331 *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \
332 *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart;
333
334 COLLIDE_UA_S((-ux + uy), NW, SE)
335 COLLIDE_UA_S(( ux + uy), NE, SW)
336 COLLIDE_UA_S((-ux + uz), TW, BE)
337 COLLIDE_UA_S(( ux + uz), TE, BW)
338 COLLIDE_UA_S((-uy + uz), TS, BN)
339 COLLIDE_UA_S(( uy + uz), TN, BS)
340
341 #undef COLLIDE_UA_S
342
343 #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name)++;
344 D3Q19_LIST
345 #undef X
346 }
347
348 #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[I(indexStartVec, idx)]);
349 D3Q19_LIST
350 #undef X
351
352 for (int index = indexStartVec; index < indexStopVec; index += VSIZE) {
353
354 #if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0)
355 #define X(name, idx, idxinv, _x, _y, _z) _mm_prefetch((char const *)(JOIN(ppdf_,name) + SOFTWARE_PREFETCH_LOOKAHEAD_L2 * VSIZE * N_D3Q19), _MM_HINT_T1);
356 D3Q19_LIST
357 #undef X
358 #endif
359
360 #if (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0)
361 #define X(name, idx, idxinv, _x, _y, _z) _mm_prefetch((char const *)(JOIN(ppdf_,name) + SOFTWARE_PREFETCH_LOOKAHEAD_L1 * VSIZE * N_D3Q19), _MM_HINT_T0);
362 D3Q19_LIST
363 #undef X
364 #endif
365
366 #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,name));
367 D3Q19_LIST
368 #undef X
369
370 //vux = vpdf_E + vpdf_NE + vpdf_SE + vpdf_TE + vpdf_BE -
371 // vpdf_W - vpdf_NW - vpdf_SW - vpdf_TW - vpdf_BW;
372 vux = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_E,VADD(vpdf_NE,vpdf_SE)),VADD(vpdf_TE,vpdf_BE)),vpdf_W),vpdf_NW),vpdf_SW),vpdf_TW),vpdf_BW);
373 //vuy = vpdf_N + vpdf_NE + vpdf_NW + vpdf_TN + vpdf_BN -
374 // vpdf_S - vpdf_SE - vpdf_SW - vpdf_TS - vpdf_BS;
375 vuy = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_N,VADD(vpdf_NE,vpdf_NW)),VADD(vpdf_TN,vpdf_BN)),vpdf_S),vpdf_SE),vpdf_SW),vpdf_TS),vpdf_BS);
376 //vuz = vpdf_T + vpdf_TE + vpdf_TW + vpdf_TN + vpdf_TS -
377 // vpdf_B - vpdf_BE - vpdf_BW - vpdf_BN - vpdf_BS;
378 vuz = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_T,VADD(vpdf_TE,vpdf_TW)),VADD(vpdf_TN,vpdf_TS)),vpdf_B),vpdf_BE),vpdf_BW),vpdf_BN),vpdf_BS);
379
380 //vdens = vpdf_C +
381 // vpdf_N + vpdf_E + vpdf_S + vpdf_W +
382 // vpdf_NE + vpdf_SE + vpdf_SW + vpdf_NW +
383 // vpdf_T + vpdf_TN + vpdf_TE + vpdf_TS + vpdf_TW +
384 // vpdf_B + vpdf_BN + vpdf_BE + vpdf_BS + vpdf_BW;
385 vdens = VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(vpdf_C,VADD(vpdf_N,vpdf_E)),VADD(vpdf_S,vpdf_W)),VADD(vpdf_NE,vpdf_SE)),VADD(vpdf_SW,vpdf_NW)),VADD(vpdf_T,vpdf_TN)),VADD(vpdf_TE,vpdf_TS)),VADD(vpdf_TW,vpdf_B)),VADD(vpdf_BN,vpdf_BE)),VADD(vpdf_BS,vpdf_BW));
386
387 //vdir_indep_trm = vdens - (vux * vux + vuy * vuy + vuz * vuz) * VTHREE_HALF;
388 vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF));
389
390 //src[I(index, D3Q19_C)] =[UA] vpdf_C - vomegaEven * (vpdf_C - vw_0 * vdir_indep_trm);
391 VSTU(ppdf_C,VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm)))));
392
393 //vw_1_indep = vw_1 * vdir_indep_trm;
394 vw_1_indep = VMUL(vw_1,vdir_indep_trm);
395
396 #define COLLIDE_AA_V(tmpVui, dir1, dir2) \
397 vui = tmpVui; \
398 vevenPart = VMUL(vomegaEven,VSUB(VSUB(VMUL(VONE_HALF,VADD(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,VMUL(vui,vw_1_nine_half))),vw_1_indep));\
399 voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_1_x3)));\
400 VSTU(JOIN(ppdf_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart));\
401 VSTU(JOIN(ppdf_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart));
402
403 COLLIDE_AA_V(vuy, N, S)
404 COLLIDE_AA_V(vux, E, W)
405 COLLIDE_AA_V(vuz, T, B)
406
407 #undef COLLIDE_AA_V
408
409 //vw_2_indep = vw_2 * vdir_indep_trm;
410 vw_2_indep = VMUL(vw_2,vdir_indep_trm);
411
412 // collide axis unaligned pdfs vectorized
413 #define COLLIDE_UA_V(tmpVui, dir1, dir2) \
414 vui = tmpVui; \
415 vevenPart = VMUL(vomegaEven,VSUB(VSUB(VMUL(VONE_HALF,VADD(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,VMUL(vui,vw_2_nine_half))),vw_2_indep));\
416 voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_2_x3)));\
417 VSTU(JOIN(ppdf_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart)); \
418 VSTU(JOIN(ppdf_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart));
419
420 COLLIDE_UA_V(VSUB(vuy,vux), NW, SE)
421 COLLIDE_UA_V(VADD(vux,vuy), NE, SW)
422 COLLIDE_UA_V(VSUB(vuz,vux), TW, BE)
423 COLLIDE_UA_V(VADD(vux,vuz), TE, BW)
424 COLLIDE_UA_V(VSUB(vuz,vuy), TS, BN)
425 COLLIDE_UA_V(VADD(vuy,vuz), TN, BS)
426
427 #undef COLLIDE_UA_V
428
429 #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) +=(VSIZE * N_D3Q19);
430 D3Q19_LIST
431 #undef X
432 } // loop over fluid nodes
433
434 for (int index = indexStopVec; index < indexStop; ++index) {
435
436 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = *(JOIN(ppdf_,name));
437 D3Q19_LIST
438 #undef X
439
440 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
441 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
442 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
443 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
444 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
445 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
446
447 dens = pdf_C +
448 pdf_N + pdf_E + pdf_S + pdf_W +
449 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
450 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
451 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
452
453 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
454
455 // direction: w_0
456 *ppdf_C = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm);
457
458 // direction: w_1
459 w_1_indep = w_1*dir_indep_trm;
460
461 #define COLLIDE_AA_S(tmpUi, dir1, dir2) \
462 ui = tmpUi; \
463 evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
464 oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_1_x3); \
465 *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \
466 *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart;
467
468 COLLIDE_AA_S(uy, N, S)
469 COLLIDE_AA_S(ux, E, W)
470 COLLIDE_AA_S(uz, T, B)
471
472 #undef COLLIDE_AA_S
473
474 // direction: w_2
475 w_2_indep = w_2*dir_indep_trm;
476
477 #define COLLIDE_UA_S(tmpUi, dir1, dir2) \
478 ui = tmpUi; \
479 evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
480 oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_2_x3); \
481 *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \
482 *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart;
483
484 COLLIDE_UA_S((-ux + uy), NW, SE)
485 COLLIDE_UA_S(( ux + uy), NE, SW)
486 COLLIDE_UA_S((-ux + uz), TW, BE)
487 COLLIDE_UA_S(( ux + uz), TE, BW)
488 COLLIDE_UA_S((-uy + uz), TS, BN)
489 COLLIDE_UA_S(( uy + uz), TN, BS)
490
491 #undef COLLIDE_UA_S
492
493 #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name)++;
494 D3Q19_LIST
495 #undef X
496 } // loop over fluid nodes
497
498 #undef I
499
500 return;
501}
502
503static void KernelOdd(LatticeDesc * ld, KernelData * kernelData, CaseData * cd, int * threadIndices)
504{
505
506 Assert(ld != NULL);
507 Assert(kernelData != NULL);
508 Assert(cd != NULL);
509
510 Assert(cd->Omega > 0.0);
511 Assert(cd->Omega < 2.0);
512
513 KernelData * kd = (KernelData *)kernelData;
514 KernelDataList * kdl = KDL(kernelData);
515 KernelDataListRia * kdlr = KDLR(kernelData);
516 PdfT omega = cd->Omega;
517 PdfT omegaEven = omega;
518
519 PdfT magicParam = 1.0 / 12.0;
520 PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5));
521
522 PdfT evenPart = 0.0;
523 PdfT oddPart = 0.0;
524 PdfT dir_indep_trm = 0.0;
525
526 const PdfT w_0 = 1.0 / 3.0;
527 const PdfT w_1 = 1.0 / 18.0;
528 const PdfT w_2 = 1.0 / 36.0;
529
530 const PdfT w_1_x3 = w_1 * 3.0; const PdfT w_1_nine_half = w_1 * 9.0 / 2.0; PdfT w_1_indep = 0.0;
531 const PdfT w_2_x3 = w_2 * 3.0; const PdfT w_2_nine_half = w_2 * 9.0 / 2.0; PdfT w_2_indep = 0.0;
532
533 PdfT ux, uy, uz, ui;
534 PdfT dens;
535
536 VPDFT VONE_HALF = VSET(0.5);
537 VPDFT VTHREE_HALF = VSET(3.0 / 2.0);
538
539 VPDFT vw_1_indep, vw_2_indep;
540 VPDFT vw_0 = VSET(w_0);
541 VPDFT vw_1 = VSET(w_1);
542 VPDFT vw_2 = VSET(w_2);
543
544 VPDFT vw_1_x3 = VSET(w_1_x3);
545 VPDFT vw_2_x3 = VSET(w_2_x3);
546 VPDFT vw_1_nine_half = VSET(w_1_nine_half);
547 VPDFT vw_2_nine_half = VSET(w_2_nine_half);
548
549 VPDFT vux, vuy, vuz, vui;
550 VPDFT vdens;
551
552 VPDFT vevenPart, voddPart, vdir_indep_trm;
553
554 VPDFT vomegaEven = VSET(omegaEven);
555 VPDFT vomegaOdd = VSET(omegaOdd);
556
557 // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
558 #define X(name, idx, idxinv, x, y, z) \
559 PdfT JOIN(pdf_,name) = 0; \
560 PdfT * JOIN(ppdf_,name) = NULL; \
561 VPDFT JOIN(vpdf_,name);
562 D3Q19_LIST
563 #undef X
564
565 #define X(name, idx, idxinv, x, y, z) \
566 __m256i JOIN(vgatheridx_,name) = _mm256_set1_epi32(0);
567 D3Q19_LIST_WO_C
568 #undef X
569
570 __m256i vgatherinc = VSETI32(VSIZE * N_D3Q19);
571
572 uint32_t * consecNodes = kdlr->ConsecNodes;
573 uint32_t consecIndex = 0;
574 uint32_t consecValue = 0;
575
576 PdfT * src = kd->Pdfs[0];
577
578 int nCells = kdl->nCells;
579
580 int adjListIndex;
581 uint32_t * adjList = kdl->AdjList;
582
583 int threadId = 0;
584
585#ifdef _OPENMP
586 threadId = omp_get_thread_num();
587#endif
588 consecIndex = kdlr->ConsecThreadIndices[threadId];
589 consecValue = 0;
590
591 int nFluidThread = threadIndices[threadId + 1] - threadIndices[threadId];
592
593 int indexStart = threadIndices[threadId];
594 int indexStop = threadIndices[threadId] + nFluidThread;
595
596 #define I(index, dir) P_INDEX_3((nCells), (index), (dir))
597 #define ADJ_LIST(dir) adjList[adjListIndex + (dir * VSIZE)]
598
599 int offset_ppdf_C = -1; //dummy init to detect errors
600
601 for (int index = indexStart; index < indexStop; index += 1) {
602
603 if (consecValue > 0) {
604 --consecValue;
605 // Increment all pdf pointers by an offset. If the previous iteration was
606 // scalar, increment only by one. If the previous iteration was vectorized,
607 // increment by the vector width. These offsets are set in the corresponding
608 // if branches.
609
610 //increment offsets
611
612 #define X(name, idx, idxinv, _x, _y, _z) JOIN(vgatheridx_,name) = VADDI32(JOIN(vgatheridx_,name), vgatherinc);
613 D3Q19_LIST_WO_C
614 #undef X
615
616 //printVector(vgatheridx_N);
617
618 ppdf_C += offset_ppdf_C;
619
620 }
621 else {
622 // Load new pointers to PDFs of local cell:
623 Assert(consecIndex < nConsecNodes);
624
625 consecValue = consecNodes[consecIndex] - 1;
626
627 adjListIndex = (index - (index % VSIZE)) * N_D3Q19_IDX + (index % VSIZE);
628 #define X(name, idx, idxinv, _x, _y, _z) JOIN(vgatheridx_,name) = VLIU(&(ADJ_LIST(idxinv)));
629 D3Q19_LIST_WO_C
630 #undef X
631
632 ppdf_C = &(src[P_INDEX_3(nCells, index, D3Q19_C)]);
633 ++consecIndex;
634 }
635
636 if (consecValue >= (VSIZE - 1)) {
637 // Vectorized part.
638
639 #if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0)
640 int const indexPrefetchL2 = index + VSIZE * SOFTWARE_PREFETCH_LOOKAHEAD_L2;
641 // make sure that adjList access is never out of bounds since it is an actual memory access and no prefetch
642 if (indexPrefetchL2 < indexStop){
643 // update pointers from adjacency list only if necessary
644 if (consecValue >= (SOFTWARE_PREFETCH_LOOKAHEAD_L2 * VSIZE + VSIZE - 1)) {
645 #define INCR_PTR(name) (VADDI32(JOIN(vgatheridx_,name), VMULI32(vgatherinc, VSETI32(SOFTWARE_PREFETCH_LOOKAHEAD_L2))))
646 #define X(name, idx, idxinv, _x, _y, _z) VPG32(INCR_PTR(name), (char const *) src, 8, _MM_HINT_T1);
647 D3Q19_LIST_WO_C
648 #undef X
649 #undef INCR_PTR
650 }
651 else {
652 adjListIndex = (indexPrefetchL2 - (indexPrefetchL2 % VSIZE)) * N_D3Q19_IDX + (indexPrefetchL2 % VSIZE);
653 #define X(name, idx, idxinv, _x, _y, _z) VPG32(VLIU(&ADJ_LIST(idxinv)), (char const *) src, 8, _MM_HINT_T1);
654 D3Q19_LIST_WO_C
655 #undef X
656 }
657
658 _mm_prefetch((char const *) &(src[P_INDEX_3(nCells, indexPrefetchL2, D3Q19_C)]), _MM_HINT_T1);
659 }
660 #endif
661
662 #if (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0)
663 int const indexPrefetchL1 = index + VSIZE * SOFTWARE_PREFETCH_LOOKAHEAD_L1;
664 // make sure that adjList access is never out of bounds since it is an actual memory access and no prefetch
665 if (indexPrefetchL1 < indexStop){
666 // update pointers from adjacency list only if necessary
667 if (consecValue > (SOFTWARE_PREFETCH_LOOKAHEAD_L1 * VSIZE + VSIZE - 1)) {
668 #define INCR_PTR(name) (VADDI32(JOIN(vgatheridx_,name), VMULI32(vgatherinc, VSETI32(SOFTWARE_PREFETCH_LOOKAHEAD_L1))))
669 #define X(name, idx, idxinv, _x, _y, _z) VPG32(INCR_PTR(name), (char const *) src, 8, _MM_HINT_T0);
670 D3Q19_LIST_WO_C
671 #undef X
672 #undef INCR_PTR
673 }
674 else {
675 adjListIndex = (indexPrefetchL1 - (indexPrefetchL1 % VSIZE)) * N_D3Q19_IDX + (indexPrefetchL1 % VSIZE);
676 #define X(name, idx, idxinv, _x, _y, _z) VPG32(VLIU(&ADJ_LIST(idxinv)), (char const *) src, 8, _MM_HINT_T0);
677 D3Q19_LIST_WO_C
678 #undef X
679 }
680
681 _mm_prefetch((char const *) &(src[P_INDEX_3(nCells, indexPrefetchL1, D3Q19_C)]), _MM_HINT_T0);
682 }
683 #endif
684
685 #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VG32(JOIN(vgatheridx_,name), src, 8);
686 D3Q19_LIST_WO_C
687 #undef X
688
689 vpdf_C = VLDU(ppdf_C);
690
691 //vux = vpdf_E + vpdf_NE + vpdf_SE + vpdf_TE + vpdf_BE -
692 // vpdf_W - vpdf_NW - vpdf_SW - vpdf_TW - vpdf_BW;
693 vux = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_E,VADD(vpdf_NE,vpdf_SE)),VADD(vpdf_TE,vpdf_BE)),vpdf_W),vpdf_NW),vpdf_SW),vpdf_TW),vpdf_BW);
694 //vuy = vpdf_N + vpdf_NE + vpdf_NW + vpdf_TN + vpdf_BN -
695 // vpdf_S - vpdf_SE - vpdf_SW - vpdf_TS - vpdf_BS;
696 vuy = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_N,VADD(vpdf_NE,vpdf_NW)),VADD(vpdf_TN,vpdf_BN)),vpdf_S),vpdf_SE),vpdf_SW),vpdf_TS),vpdf_BS);
697 //vuz = vpdf_T + vpdf_TE + vpdf_TW + vpdf_TN + vpdf_TS -
698 // vpdf_B - vpdf_BE - vpdf_BW - vpdf_BN - vpdf_BS;
699 vuz = VSUB(VSUB(VSUB(VSUB(VSUB(VADD(VADD(vpdf_T,VADD(vpdf_TE,vpdf_TW)),VADD(vpdf_TN,vpdf_TS)),vpdf_B),vpdf_BE),vpdf_BW),vpdf_BN),vpdf_BS);
700
701 //vdens = vpdf_C +
702 // vpdf_N + vpdf_E + vpdf_S + vpdf_W +
703 // vpdf_NE + vpdf_SE + vpdf_SW + vpdf_NW +
704 // vpdf_T + vpdf_TN + vpdf_TE + vpdf_TS + vpdf_TW +
705 // vpdf_B + vpdf_BN + vpdf_BE + vpdf_BS + vpdf_BW;
706 vdens = VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(VADD(vpdf_C,VADD(vpdf_N,vpdf_E)),VADD(vpdf_S,vpdf_W)),VADD(vpdf_NE,vpdf_SE)),
707 VADD(vpdf_SW,vpdf_NW)),VADD(vpdf_T,vpdf_TN)),VADD(vpdf_TE,vpdf_TS)),VADD(vpdf_TW,vpdf_B)),VADD(vpdf_BN,vpdf_BE)),VADD(vpdf_BS,vpdf_BW));
708
709 //vdir_indep_trm = vdens - (vux * vux + vuy * vuy + vuz * vuz) * VTHREE_HALF;
710 vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF));
711
712 //src[I(index, D3Q19_C)] =[UA] vpdf_C - vomegaEven * (vpdf_C - vw_0 * vdir_indep_trm);
713 VSTU(ppdf_C,VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm)))));
714
715 // collide axis aligend pdfs vectorized
716 #define SCAT(offsets, vsrc) VS32(src, offsets, vsrc, 8)
717
718 //vw_1_indep = vw_1 * vdir_indep_trm;
719 vw_1_indep = VMUL(vw_1,vdir_indep_trm);
720
721 // collide axis aligend pdfs vectorized
722 #define COLLIDE_AA_V(tmpVui, dir1, dir2) \
723 vui = tmpVui; \
724 vevenPart = VMUL(vomegaEven,VSUB(VSUB(VMUL(VONE_HALF,VADD(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,VMUL(vui,vw_1_nine_half))),vw_1_indep));\
725 voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_1_x3)));\
726 SCAT(JOIN(vgatheridx_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart));\
727 SCAT(JOIN(vgatheridx_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart));
728
729 COLLIDE_AA_V(vuy, N, S)
730 COLLIDE_AA_V(vux, E, W)
731 COLLIDE_AA_V(vuz, T, B)
732
733 #undef COLLIDE_AA_V
734
735 //vw_2_indep = vw_2 * vdir_indep_trm;
736 vw_2_indep = VMUL(vw_2,vdir_indep_trm);
737
738 // collide axis unaligned pdfs vectorized
739 #define COLLIDE_UA_V(tmpVui, dir1, dir2) \
740 vui = tmpVui; \
741 vevenPart = VMUL(vomegaEven,VSUB(VSUB(VMUL(VONE_HALF,VADD(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,VMUL(vui,vw_2_nine_half))),vw_2_indep));\
742 voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_2_x3)));\
743 SCAT(JOIN(vgatheridx_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart)); \
744 SCAT(JOIN(vgatheridx_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart));
745
746 COLLIDE_UA_V(VSUB(vuy,vux), NW, SE)
747 COLLIDE_UA_V(VADD(vux,vuy), NE, SW)
748 COLLIDE_UA_V(VSUB(vuz,vux), TW, BE)
749 COLLIDE_UA_V(VADD(vux,vuz), TE, BW)
750 COLLIDE_UA_V(VSUB(vuz,vuy), TS, BN)
751 COLLIDE_UA_V(VADD(vuy,vuz), TN, BS)
752
753 #undef COLLIDE_UA_V
754 #undef SCAT
755
756 consecValue -= (VSIZE - 1);
757 index += (VSIZE - 1);
758 offset_ppdf_C = VSIZE * N_D3Q19;
759
760 }
761 else {
762 // Scalar part.
763
764 adjListIndex = (index - (index % VSIZE)) * N_D3Q19_IDX + (index % VSIZE);
765 #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[ADJ_LIST(idxinv)]);
766 D3Q19_LIST_WO_C
767 #undef X
768 #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = *(JOIN(ppdf_,name));
769 D3Q19_LIST_WO_C
770 #undef X
771
772 pdf_C = *ppdf_C;
773
774 ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE -
775 pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW;
776 uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN -
777 pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS;
778 uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS -
779 pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS;
780
781 dens = pdf_C +
782 pdf_N + pdf_E + pdf_S + pdf_W +
783 pdf_NE + pdf_SE + pdf_SW + pdf_NW +
784 pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW +
785 pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW;
786
787 dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0;
788
789 // direction: w_0
790 *ppdf_C = pdf_C - omegaEven * (pdf_C - w_0 * dir_indep_trm);
791
792 // direction: w_1
793 w_1_indep = w_1 * dir_indep_trm;
794
795 #define COLLIDE_AA_S(tmpUi, dir1, dir2) \
796 ui = tmpUi; \
797 evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_1_nine_half - w_1_indep); \
798 oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_1_x3); \
799 *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \
800 *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart;
801
802 COLLIDE_AA_S(uy, N, S)
803 COLLIDE_AA_S(ux, E, W)
804 COLLIDE_AA_S(uz, T, B)
805
806 #undef COLLIDE_AA_S
807
808 // direction: w_2
809 w_2_indep = w_2 * dir_indep_trm;
810
811 #define COLLIDE_UA_S(tmpUi, dir1, dir2) \
812 ui = tmpUi; \
813 evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_2_nine_half - w_2_indep); \
814 oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_2_x3); \
815 *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \
816 *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart;
817
818 COLLIDE_UA_S((-ux + uy), NW, SE)
819 COLLIDE_UA_S(( ux + uy), NE, SW)
820 COLLIDE_UA_S((-ux + uz), TW, BE)
821 COLLIDE_UA_S(( ux + uz), TE, BW)
822 COLLIDE_UA_S((-uy + uz), TS, BN)
823 COLLIDE_UA_S(( uy + uz), TN, BS)
824
825 #undef COLLIDE_UA_S
826
827 offset_ppdf_C = 1;
828 }
829
830 } // loop over fluid nodes
831
832#undef ADJ_LIST
833#undef I
834}
LBM benchmark kernels
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