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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 "BenchKernelD3Q19ListAaPvGatherHybridCommon.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 loop iterations ahead | |
61 | #endif | |
62 | ||
63 | #ifndef SOFTWARE_PREFETCH_LOOKAHEAD_L1 | |
64 | #define SOFTWARE_PREFETCH_LOOKAHEAD_L1 (0) //prefetchting X loop iterations ahead | |
65 | #endif | |
66 | ||
67 | static void KernelEven(LatticeDesc * ld, KernelData * kernelData, CaseData * cd, int * threadIndices); | |
68 | static void KernelOdd( LatticeDesc * ld, KernelData * kernelData, CaseData * cd); | |
69 | ||
70 | void FNAME(D3Q19ListAaPvGatherHybridKernel)(LatticeDesc * ld, KernelData * kernelData, CaseData * cd) | |
71 | { | |
72 | Assert(ld != NULL); | |
73 | Assert(kernelData != NULL); | |
74 | Assert(cd != NULL); | |
75 | ||
76 | Assert(cd->Omega > 0.0); | |
77 | Assert(cd->Omega < 2.0); | |
78 | ||
79 | #if defined(VTK_OUTPUT) || defined(STATISTICS) || defined(VERIFICATION) | |
80 | KernelData * kd = (KernelData *)kernelData; | |
81 | #endif | |
82 | KernelDataList * kdl = KDL(kernelData); | |
83 | ||
84 | int maxIterations = cd->MaxIterations; | |
85 | int nFluid = kdl->nFluid; | |
86 | ||
87 | printf("\n"); | |
88 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0) || (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0) | |
89 | printf("# Software prefetching enabled:\n"); | |
90 | printf("# Gather/Scatter + Load/Store prefetch lookahead L2: \t%d\n", SOFTWARE_PREFETCH_LOOKAHEAD_L2); | |
91 | printf("# Gather/Scatter + Load/Store prefetch lookahead L1: \t%d\n", SOFTWARE_PREFETCH_LOOKAHEAD_L1); | |
92 | #else | |
93 | printf("# Software prefetching disabled.\n"); | |
94 | #endif | |
95 | printf("\n"); | |
96 | ||
97 | int nThreads = 1; | |
98 | #ifdef _OPENMP | |
99 | nThreads = omp_get_max_threads(); | |
100 | #endif | |
101 | ||
102 | int * threadStartIndices = (int *)malloc(sizeof(int) * (nThreads + 1)); | |
103 | ||
104 | for (int i = 0; i < nThreads; ++i) { | |
105 | threadStartIndices[i] = i * (nFluid / nThreads) + MinI(i, nFluid % nThreads); | |
106 | } | |
107 | ||
108 | threadStartIndices[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 | // TODO: outer openmp parallel | |
125 | ||
126 | X_KERNEL_START(kernelData); | |
127 | ||
128 | LIKWID_MARKER_START("OuterLoop"); | |
129 | ||
130 | for(int iter = 0; iter < maxIterations; iter += 2) { | |
131 | ||
132 | // even time step | |
133 | ||
134 | #ifdef _OPENMP | |
135 | #pragma omp parallel default(none) shared(ld, kernelData, cd, threadStartIndices) | |
136 | #endif | |
137 | { | |
138 | //LIKWID_MARKER_START("KernelEven"); | |
139 | KernelEven(ld, kernelData, cd, threadStartIndices); | |
140 | //LIKWID_MARKER_STOP("KernelEven"); | |
141 | } | |
142 | ||
143 | ||
144 | #ifdef VERIFICATION | |
145 | kdl->Iteration = iter; | |
146 | kd->PdfsActive = kd->Pdfs[0]; | |
147 | KernelAddBodyForce(kd, ld, cd); | |
148 | #endif | |
149 | ||
150 | // odd time step | |
151 | ||
152 | #ifdef _OPENMP | |
153 | #pragma omp parallel default(none) shared(ld, kernelData, cd, threadStartIndices) | |
154 | #endif | |
155 | { | |
156 | //LIKWID_MARKER_START("KernelOdd"); | |
157 | KernelOdd(ld, kernelData, cd); | |
158 | //LIKWID_MARKER_STOP("KernelOdd"); | |
159 | } | |
160 | ||
161 | ||
162 | #ifdef VERIFICATION | |
163 | kdl->Iteration = iter + 1; | |
164 | kd->PdfsActive = kd->Pdfs[0]; | |
165 | KernelAddBodyForce(kd, ld, cd); | |
166 | #endif | |
167 | ||
168 | #ifdef VTK_OUTPUT | |
169 | if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) { | |
170 | kdl->Iteration = iter + 1; | |
171 | kd->PdfsActive = kd->Pdfs[0]; | |
172 | VtkWrite(ld, kd, cd, iter); | |
173 | } | |
174 | #endif | |
175 | ||
176 | #ifdef STATISTICS | |
177 | kdl->Iteration = iter + 1; | |
178 | kd->PdfsActive = kd->Pdfs[0]; | |
179 | KernelStatistics(kd, ld, cd, iter); | |
180 | #endif | |
181 | ||
182 | } // for (int iter = 0; ... | |
183 | LIKWID_MARKER_STOP("OuterLoop"); | |
184 | ||
185 | X_KERNEL_END(kernelData); | |
186 | ||
187 | #ifdef VTK_OUTPUT | |
188 | if (cd->VtkOutput) { | |
189 | kd->PdfsActive = kd->Pdfs[0]; | |
190 | VtkWrite(ld, kd, cd, maxIterations); | |
191 | } | |
192 | #endif | |
193 | ||
194 | #ifdef STATISTICS | |
195 | kd->PdfsActive = kd->Pdfs[0]; | |
196 | KernelStatistics(kd, ld, cd, maxIterations); | |
197 | #endif | |
198 | ||
199 | LIKWID_MARKER_CLOSE; | |
200 | free(threadStartIndices); | |
201 | ||
202 | return; | |
203 | } | |
204 | ||
205 | static void KernelEven(LatticeDesc * ld, KernelData * kernelData, CaseData * cd, int * threadIndices) | |
206 | { | |
207 | Assert(ld != NULL); | |
208 | Assert(kernelData != NULL); | |
209 | Assert(cd != NULL); | |
210 | ||
211 | Assert(cd->Omega > 0.0); | |
212 | Assert(cd->Omega < 2.0); | |
213 | ||
214 | KernelData * kd = (KernelData *)kernelData; | |
215 | KernelDataList * kdl = KDL(kernelData); | |
216 | ||
217 | PdfT omega = cd->Omega; | |
218 | PdfT omegaEven = omega; | |
219 | ||
220 | PdfT magicParam = 1.0 / 12.0; | |
221 | PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5)); | |
222 | ||
223 | PdfT evenPart = 0.0; | |
224 | PdfT oddPart = 0.0; | |
225 | PdfT dir_indep_trm = 0.0; | |
226 | ||
227 | const PdfT w_0 = 1.0 / 3.0; | |
228 | const PdfT w_1 = 1.0 / 18.0; | |
229 | const PdfT w_2 = 1.0 / 36.0; | |
230 | ||
231 | 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; | |
232 | 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; | |
233 | ||
234 | PdfT ux, uy, uz, ui; | |
235 | PdfT dens; | |
236 | ||
237 | VPDFT VONE_HALF = VSET(0.5); | |
238 | VPDFT VTHREE_HALF = VSET(3.0 / 2.0); | |
239 | ||
240 | VPDFT vw_1_indep, vw_2_indep; | |
241 | VPDFT vw_0 = VSET(w_0); | |
242 | VPDFT vw_1 = VSET(w_1); | |
243 | VPDFT vw_2 = VSET(w_2); | |
244 | ||
245 | VPDFT vw_1_x3 = VSET(w_1_x3); | |
246 | VPDFT vw_2_x3 = VSET(w_2_x3); | |
247 | VPDFT vw_1_nine_half = VSET(w_1_nine_half); | |
248 | VPDFT vw_2_nine_half = VSET(w_2_nine_half); | |
249 | ||
250 | VPDFT vui, vux, vuy, vuz, vdens; | |
251 | ||
252 | VPDFT vevenPart, voddPart, vdir_indep_trm; | |
253 | ||
254 | VPDFT vomegaEven = VSET(omegaEven); | |
255 | VPDFT vomegaOdd = VSET(omegaOdd); | |
256 | ||
257 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... | |
258 | #define X(name, idx, idxinv, x, y, z) \ | |
259 | PdfT JOIN(pdf_,name); \ | |
260 | PdfT * JOIN(ppdf_,name); \ | |
261 | VPDFT JOIN(vpdf_,name); | |
262 | D3Q19_LIST | |
263 | #undef X | |
264 | ||
265 | PdfT * src = kd->Pdfs[0]; | |
266 | ||
267 | int nCells = kdl->nCells; | |
268 | ||
269 | int threadId = 0; | |
270 | #ifdef _OPENMP | |
271 | threadId = omp_get_thread_num(); | |
272 | #endif | |
273 | ||
274 | int nFluidThread = threadIndices[threadId + 1] - threadIndices[threadId]; | |
275 | int nFluidVec = nFluidThread - (nFluidThread % VSIZE); | |
276 | ||
277 | int indexStartVec = threadIndices[threadId]; | |
278 | int indexStopVec = threadIndices[threadId] + nFluidVec; | |
279 | int indexStop = threadIndices[threadId] + nFluidThread; | |
280 | ||
281 | #define I(index, dir) P_INDEX_3((nCells), (index), (dir)) | |
282 | ||
283 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[I(indexStartVec, idx)]); | |
284 | D3Q19_LIST | |
285 | #undef X | |
286 | ||
287 | for (int index = indexStartVec; index < indexStopVec; index += VSIZE) { | |
288 | ||
289 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0) | |
290 | #define X(name, idx, idxinv, _x, _y, _z) _mm_prefetch((char const *)(JOIN(ppdf_,name) + SOFTWARE_PREFETCH_LOOKAHEAD_L2 * VSIZE), _MM_HINT_T1); | |
291 | D3Q19_LIST | |
292 | #undef X | |
293 | #endif | |
294 | ||
295 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0) | |
296 | #define X(name, idx, idxinv, _x, _y, _z) _mm_prefetch((char const *)(JOIN(ppdf_,name) + SOFTWARE_PREFETCH_LOOKAHEAD_L1 * VSIZE), _MM_HINT_T0); | |
297 | D3Q19_LIST | |
298 | #undef X | |
299 | #endif | |
300 | ||
301 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,name)); | |
302 | D3Q19_LIST | |
303 | #undef X | |
304 | ||
305 | //vux = vpdf_E + vpdf_NE + vpdf_SE + vpdf_TE + vpdf_BE - | |
306 | // vpdf_W - vpdf_NW - vpdf_SW - vpdf_TW - vpdf_BW; | |
307 | 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); | |
308 | //vuy = vpdf_N + vpdf_NE + vpdf_NW + vpdf_TN + vpdf_BN - | |
309 | // vpdf_S - vpdf_SE - vpdf_SW - vpdf_TS - vpdf_BS; | |
310 | 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); | |
311 | //vuz = vpdf_T + vpdf_TE + vpdf_TW + vpdf_TN + vpdf_TS - | |
312 | // vpdf_B - vpdf_BE - vpdf_BW - vpdf_BN - vpdf_BS; | |
313 | 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); | |
314 | ||
315 | //vdens = vpdf_C + | |
316 | // vpdf_N + vpdf_E + vpdf_S + vpdf_W + | |
317 | // vpdf_NE + vpdf_SE + vpdf_SW + vpdf_NW + | |
318 | // vpdf_T + vpdf_TN + vpdf_TE + vpdf_TS + vpdf_TW + | |
319 | // vpdf_B + vpdf_BN + vpdf_BE + vpdf_BS + vpdf_BW; | |
320 | 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)); | |
321 | ||
322 | //vdir_indep_trm = vdens - (vux * vux + vuy * vuy + vuz * vuz) * VTHREE_HALF; | |
323 | vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF)); | |
324 | ||
325 | //src[I(index, D3Q19_C)] =[UA] vpdf_C - vomegaEven * (vpdf_C - vw_0 * vdir_indep_trm); | |
326 | VSTU(ppdf_C,VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm))))); | |
327 | ||
328 | //vw_1_indep = vw_1 * vdir_indep_trm; | |
329 | vw_1_indep = VMUL(vw_1,vdir_indep_trm); | |
330 | ||
331 | #define COLLIDE_AA_V(tmpVui, dir1, dir2) \ | |
332 | vui = tmpVui; \ | |
333 | 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));\ | |
334 | voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_1_x3)));\ | |
335 | VSTU(JOIN(ppdf_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart));\ | |
336 | VSTU(JOIN(ppdf_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart)); | |
337 | ||
338 | COLLIDE_AA_V(vuy, N, S) | |
339 | COLLIDE_AA_V(vux, E, W) | |
340 | COLLIDE_AA_V(vuz, T, B) | |
341 | ||
342 | #undef COLLIDE_AA_V | |
343 | ||
344 | //vw_2_indep = vw_2 * vdir_indep_trm; | |
345 | vw_2_indep = VMUL(vw_2,vdir_indep_trm); | |
346 | ||
347 | // collide axis unaligned pdfs vectorized | |
348 | #define COLLIDE_UA_V(tmpVui, dir1, dir2) \ | |
349 | vui = tmpVui; \ | |
350 | 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));\ | |
351 | voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_2_x3)));\ | |
352 | VSTU(JOIN(ppdf_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart)); \ | |
353 | VSTU(JOIN(ppdf_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart)); | |
354 | ||
355 | COLLIDE_UA_V(VSUB(vuy,vux), NW, SE) | |
356 | COLLIDE_UA_V(VADD(vux,vuy), NE, SW) | |
357 | COLLIDE_UA_V(VSUB(vuz,vux), TW, BE) | |
358 | COLLIDE_UA_V(VADD(vux,vuz), TE, BW) | |
359 | COLLIDE_UA_V(VSUB(vuz,vuy), TS, BN) | |
360 | COLLIDE_UA_V(VADD(vuy,vuz), TN, BS) | |
361 | ||
362 | #undef COLLIDE_UA_V | |
363 | ||
364 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) +=VSIZE; | |
365 | D3Q19_LIST | |
366 | #undef X | |
367 | } // loop over fluid nodes | |
368 | ||
369 | for (int index = indexStopVec; index < indexStop; ++index) { | |
370 | ||
371 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = *(JOIN(ppdf_,name)); | |
372 | D3Q19_LIST | |
373 | #undef X | |
374 | ||
375 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - | |
376 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; | |
377 | uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN - | |
378 | pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS; | |
379 | uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS - | |
380 | pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS; | |
381 | ||
382 | dens = pdf_C + | |
383 | pdf_N + pdf_E + pdf_S + pdf_W + | |
384 | pdf_NE + pdf_SE + pdf_SW + pdf_NW + | |
385 | pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW + | |
386 | pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW; | |
387 | ||
388 | dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0; | |
389 | ||
390 | // direction: w_0 | |
391 | *ppdf_C = pdf_C - omegaEven*(pdf_C - w_0*dir_indep_trm); | |
392 | ||
393 | // direction: w_1 | |
394 | w_1_indep = w_1*dir_indep_trm; | |
395 | ||
396 | #define COLLIDE_AA_S(tmpUi, dir1, dir2) \ | |
397 | ui = tmpUi; \ | |
398 | evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_1_nine_half - w_1_indep); \ | |
399 | oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_1_x3); \ | |
400 | *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \ | |
401 | *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart; | |
402 | ||
403 | COLLIDE_AA_S(uy, N, S) | |
404 | COLLIDE_AA_S(ux, E, W) | |
405 | COLLIDE_AA_S(uz, T, B) | |
406 | ||
407 | #undef COLLIDE_AA_S | |
408 | ||
409 | // direction: w_2 | |
410 | w_2_indep = w_2*dir_indep_trm; | |
411 | ||
412 | #define COLLIDE_UA_S(tmpUi, dir1, dir2) \ | |
413 | ui = tmpUi; \ | |
414 | evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_2_nine_half - w_2_indep); \ | |
415 | oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_2_x3); \ | |
416 | *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \ | |
417 | *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart; | |
418 | ||
419 | COLLIDE_UA_S((-ux + uy), NW, SE) | |
420 | COLLIDE_UA_S(( ux + uy), NE, SW) | |
421 | COLLIDE_UA_S((-ux + uz), TW, BE) | |
422 | COLLIDE_UA_S(( ux + uz), TE, BW) | |
423 | COLLIDE_UA_S((-uy + uz), TS, BN) | |
424 | COLLIDE_UA_S(( uy + uz), TN, BS) | |
425 | ||
426 | #undef COLLIDE_UA_S | |
427 | ||
428 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name)++; | |
429 | D3Q19_LIST | |
430 | #undef X | |
431 | } // loop over fluid nodes | |
432 | ||
433 | #undef I | |
434 | ||
435 | return; | |
436 | } | |
437 | ||
438 | ||
439 | static void KernelOdd(LatticeDesc * ld, KernelData * kernelData, CaseData * cd) | |
440 | { | |
441 | ||
442 | Assert(ld != NULL); | |
443 | Assert(kernelData != NULL); | |
444 | Assert(cd != NULL); | |
445 | ||
446 | Assert(cd->Omega > 0.0); | |
447 | Assert(cd->Omega < 2.0); | |
448 | ||
449 | KernelData * kd = (KernelData *)kernelData; | |
450 | KernelDataList * kdl = KDL(kernelData); | |
451 | KernelDataListRia * kdlr = KDLR(kernelData); | |
452 | ||
453 | PdfT omega = cd->Omega; | |
454 | PdfT omegaEven = omega; | |
455 | ||
456 | PdfT magicParam = 1.0 / 12.0; | |
457 | PdfT omegaOdd = 1.0 / (0.5 + magicParam / (1.0 / omega - 0.5)); | |
458 | ||
459 | PdfT evenPart = 0.0; | |
460 | PdfT oddPart = 0.0; | |
461 | PdfT dir_indep_trm = 0.0; | |
462 | ||
463 | const PdfT w_0 = 1.0 / 3.0; | |
464 | const PdfT w_1 = 1.0 / 18.0; | |
465 | const PdfT w_2 = 1.0 / 36.0; | |
466 | ||
467 | 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; | |
468 | 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; | |
469 | ||
470 | PdfT ux, uy, uz, ui; | |
471 | PdfT dens; | |
472 | ||
473 | VPDFT VONE_HALF = VSET(0.5); | |
474 | VPDFT VTHREE_HALF = VSET(3.0 / 2.0); | |
475 | ||
476 | VPDFT vw_1_indep, vw_2_indep; | |
477 | VPDFT vw_0 = VSET(w_0); | |
478 | VPDFT vw_1 = VSET(w_1); | |
479 | VPDFT vw_2 = VSET(w_2); | |
480 | ||
481 | VPDFT vw_1_x3 = VSET(w_1_x3); | |
482 | VPDFT vw_2_x3 = VSET(w_2_x3); | |
483 | VPDFT vw_1_nine_half = VSET(w_1_nine_half); | |
484 | VPDFT vw_2_nine_half = VSET(w_2_nine_half); | |
485 | ||
486 | VPDFT vux, vuy, vuz, vui; | |
487 | VPDFT vdens; | |
488 | ||
489 | VPDFT vevenPart, voddPart, vdir_indep_trm; | |
490 | ||
491 | VPDFT vomegaEven = VSET(omegaEven); | |
492 | VPDFT vomegaOdd = VSET(omegaOdd); | |
493 | ||
494 | ||
495 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... | |
496 | #define X(name, idx, idxinv, x, y, z) \ | |
497 | PdfT JOIN(pdf_,name); \ | |
498 | PdfT * JOIN(ppdf_,name) = NULL; \ | |
499 | VPDFT JOIN(vpdf_,name); | |
500 | D3Q19_LIST | |
501 | #undef X | |
502 | #define X(name, idx, idxinv, x, y, z) __m256i JOIN(vgatheridx_,name); | |
503 | D3Q19_LIST_WO_C | |
504 | #undef X | |
505 | ||
506 | PdfT * src = kd->Pdfs[0]; | |
507 | ||
508 | int nCells = kdl->nCells; | |
509 | ||
510 | int adjListIndex; | |
511 | uint32_t * adjList = kdl->AdjList; | |
512 | ||
513 | int * oddKernelThreadStartIndices = kdlr->oddKernelThreadStartIndices; | |
514 | int * loopStartIndices = kdlr->loopStartIndices; | |
515 | ||
516 | int threadId = 0; | |
517 | ||
518 | #ifdef _OPENMP | |
519 | threadId = omp_get_thread_num(); | |
520 | #endif | |
521 | ||
522 | int threadStartIndex = oddKernelThreadStartIndices[threadId + 0]; | |
523 | int threadStopIndex = oddKernelThreadStartIndices[threadId + 1]; | |
524 | ||
525 | int indexStart = loopStartIndices[threadStartIndex]; | |
526 | int indexStop = loopStartIndices[threadStopIndex ]; | |
527 | ||
528 | int consecStartIndex = threadStartIndex + 1; | |
529 | int consecStopIndex = threadStopIndex - 1; | |
530 | ||
531 | #define I(index, dir) P_INDEX_3((nCells), (index), (dir)) | |
532 | #define ADJ_LIST(dir) adjList[adjListIndex + (dir * VSIZE)] | |
533 | ||
534 | // scalar peel loop | |
535 | #pragma novector | |
536 | #pragma loop_count max=7 | |
537 | for (int index = indexStart; index < loopStartIndices[consecStartIndex]; ++index) { | |
538 | ||
539 | adjListIndex = (index - (index % VSIZE)) * N_D3Q19_IDX + (index % VSIZE); | |
540 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[ADJ_LIST(idxinv)]); | |
541 | D3Q19_LIST_WO_C | |
542 | #undef X | |
543 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = *(JOIN(ppdf_,name)); | |
544 | D3Q19_LIST_WO_C | |
545 | #undef X | |
546 | ||
547 | ppdf_C = &(src[P_INDEX_3(nCells, index, D3Q19_C)]); | |
548 | pdf_C = *ppdf_C; | |
549 | ||
550 | // macroscopic values | |
551 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - | |
552 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; | |
553 | uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN - | |
554 | pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS; | |
555 | uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS - | |
556 | pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS; | |
557 | ||
558 | dens = pdf_C + | |
559 | pdf_N + pdf_E + pdf_S + pdf_W + | |
560 | pdf_NE + pdf_SE + pdf_SW + pdf_NW + | |
561 | pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW + | |
562 | pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW; | |
563 | ||
564 | dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0; | |
565 | ||
566 | // collide direction: w_0 | |
567 | *ppdf_C = pdf_C - omegaEven * (pdf_C - w_0 * dir_indep_trm); | |
568 | ||
569 | // collide direction: w_1 | |
570 | w_1_indep = w_1 * dir_indep_trm; | |
571 | ||
572 | #define COLLIDE_AA_S(tmpUi, dir1, dir2) \ | |
573 | ui = tmpUi; \ | |
574 | evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_1_nine_half - w_1_indep); \ | |
575 | oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_1_x3); \ | |
576 | *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \ | |
577 | *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart; | |
578 | ||
579 | COLLIDE_AA_S(uy, N, S) | |
580 | COLLIDE_AA_S(ux, E, W) | |
581 | COLLIDE_AA_S(uz, T, B) | |
582 | ||
583 | #undef COLLIDE_AA_S | |
584 | ||
585 | // collide direction: w_2 | |
586 | w_2_indep = w_2 * dir_indep_trm; | |
587 | ||
588 | #define COLLIDE_UA_S(tmpUi, dir1, dir2) \ | |
589 | ui = tmpUi; \ | |
590 | evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_2_nine_half - w_2_indep); \ | |
591 | oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_2_x3); \ | |
592 | *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \ | |
593 | *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart; | |
594 | ||
595 | COLLIDE_UA_S((-ux + uy), NW, SE) | |
596 | COLLIDE_UA_S(( ux + uy), NE, SW) | |
597 | COLLIDE_UA_S((-ux + uz), TW, BE) | |
598 | COLLIDE_UA_S(( ux + uz), TE, BW) | |
599 | COLLIDE_UA_S((-uy + uz), TS, BN) | |
600 | COLLIDE_UA_S(( uy + uz), TN, BS) | |
601 | ||
602 | #undef COLLIDE_UA_S | |
603 | ||
604 | } // scalar peel loop | |
605 | ||
606 | // vectorized loop | |
607 | for (int consecIndex = consecStartIndex; consecIndex < consecStopIndex; /* increment in loop body */) { | |
608 | ||
609 | int index = loopStartIndices[consecIndex]; | |
610 | adjListIndex = (index - (index % VSIZE)) * N_D3Q19_IDX + (index % VSIZE); | |
611 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[ADJ_LIST(idxinv)]); | |
612 | D3Q19_LIST_WO_C | |
613 | #undef X | |
614 | ppdf_C = &(src[P_INDEX_3(nCells, index, D3Q19_C)]); | |
615 | ||
616 | // loop for consecutive access pattern -> load & store | |
617 | ++consecIndex; | |
618 | ||
619 | for (; index < loopStartIndices[consecIndex]; index+=VSIZE){ | |
620 | ||
621 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0) | |
622 | #define X(name, idx, idxinv, _x, _y, _z) _mm_prefetch((char const *)(JOIN(ppdf_,name) + SOFTWARE_PREFETCH_LOOKAHEAD_L2 * VSIZE), _MM_HINT_T1); | |
623 | D3Q19_LIST | |
624 | #undef X | |
625 | #endif | |
626 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0) | |
627 | #define X(name, idx, idxinv, _x, _y, _z) _mm_prefetch((char const *)(JOIN(ppdf_,name) + SOFTWARE_PREFETCH_LOOKAHEAD_L1 * VSIZE), _MM_HINT_T0); | |
628 | D3Q19_LIST | |
629 | #undef X | |
630 | #endif | |
631 | ||
632 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,name)); | |
633 | D3Q19_LIST | |
634 | #undef X | |
635 | ||
636 | // macroscopic values | |
637 | //vux = vpdf_E + vpdf_NE + vpdf_SE + vpdf_TE + vpdf_BE - | |
638 | // vpdf_W - vpdf_NW - vpdf_SW - vpdf_TW - vpdf_BW; | |
639 | 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); | |
640 | //vuy = vpdf_N + vpdf_NE + vpdf_NW + vpdf_TN + vpdf_BN - | |
641 | // vpdf_S - vpdf_SE - vpdf_SW - vpdf_TS - vpdf_BS; | |
642 | 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); | |
643 | //vuz = vpdf_T + vpdf_TE + vpdf_TW + vpdf_TN + vpdf_TS - | |
644 | // vpdf_B - vpdf_BE - vpdf_BW - vpdf_BN - vpdf_BS; | |
645 | 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); | |
646 | ||
647 | //vdens = vpdf_C + | |
648 | // vpdf_N + vpdf_E + vpdf_S + vpdf_W + | |
649 | // vpdf_NE + vpdf_SE + vpdf_SW + vpdf_NW + | |
650 | // vpdf_T + vpdf_TN + vpdf_TE + vpdf_TS + vpdf_TW + | |
651 | // vpdf_B + vpdf_BN + vpdf_BE + vpdf_BS + vpdf_BW; | |
652 | 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)), | |
653 | 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)); | |
654 | ||
655 | //vdir_indep_trm = vdens - (vux * vux + vuy * vuy + vuz * vuz) * VTHREE_HALF; | |
656 | vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF)); | |
657 | ||
658 | // collide direction: w_0 | |
659 | //src[I(index, D3Q19_C)] =[UA] vpdf_C - vomegaEven * (vpdf_C - vw_0 * vdir_indep_trm); | |
660 | VSTU(ppdf_C,VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm))))); | |
661 | ||
662 | // collide direction: w_1 | |
663 | vw_1_indep = VMUL(vw_1,vdir_indep_trm); | |
664 | ||
665 | #define COLLIDE_AA_V(tmpVui, dir1, dir2) \ | |
666 | vui = tmpVui; \ | |
667 | 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));\ | |
668 | voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_1_x3)));\ | |
669 | VSTU(JOIN(ppdf_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart));\ | |
670 | VSTU(JOIN(ppdf_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart)); | |
671 | ||
672 | COLLIDE_AA_V(vuy, N, S) | |
673 | COLLIDE_AA_V(vux, E, W) | |
674 | COLLIDE_AA_V(vuz, T, B) | |
675 | ||
676 | #undef COLLIDE_AA_V | |
677 | ||
678 | // collide direction: w_2 | |
679 | vw_2_indep = VMUL(vw_2,vdir_indep_trm); | |
680 | ||
681 | #define COLLIDE_UA_V(tmpVui, dir1, dir2) \ | |
682 | vui = tmpVui; \ | |
683 | 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));\ | |
684 | voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_2_x3)));\ | |
685 | VSTU(JOIN(ppdf_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart)); \ | |
686 | VSTU(JOIN(ppdf_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart)); | |
687 | ||
688 | COLLIDE_UA_V(VSUB(vuy,vux), NW, SE) | |
689 | COLLIDE_UA_V(VADD(vux,vuy), NE, SW) | |
690 | COLLIDE_UA_V(VSUB(vuz,vux), TW, BE) | |
691 | COLLIDE_UA_V(VADD(vux,vuz), TE, BW) | |
692 | COLLIDE_UA_V(VSUB(vuz,vuy), TS, BN) | |
693 | COLLIDE_UA_V(VADD(vuy,vuz), TN, BS) | |
694 | ||
695 | #undef COLLIDE_UA_V | |
696 | ||
697 | //increment pointer | |
698 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) += VSIZE; | |
699 | D3Q19_LIST | |
700 | #undef X | |
701 | } | |
702 | ||
703 | // loop for irregular access pattern -> gather & scatter | |
704 | index = loopStartIndices[consecIndex]; | |
705 | ++consecIndex; | |
706 | for (; index < loopStartIndices[consecIndex]; index+=VSIZE){ | |
707 | ||
708 | ||
709 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L2 > 0) | |
710 | int const indexPrefetchL2 = index + VSIZE * SOFTWARE_PREFETCH_LOOKAHEAD_L2; | |
711 | // make sure that adjList access is never out of bounds since it is an actual memory access and no prefetch | |
712 | if (indexPrefetchL2 < indexStop){ | |
713 | adjListIndex = (indexPrefetchL2 - (indexPrefetchL2 % VSIZE)) * N_D3Q19_IDX + (indexPrefetchL2 % VSIZE); | |
714 | #define X(name, idx, idxinv, _x, _y, _z) VPG32(VLIU(&ADJ_LIST(idxinv)), (char const *) src, 8, _MM_HINT_T1); | |
715 | D3Q19_LIST_WO_C | |
716 | #undef X | |
717 | ||
718 | _mm_prefetch((char const *) &(src[P_INDEX_3(nCells, indexPrefetchL2, D3Q19_C)]), _MM_HINT_T1); | |
719 | } | |
720 | #endif | |
721 | ||
722 | #if (SOFTWARE_PREFETCH_LOOKAHEAD_L1 > 0) | |
723 | int const indexPrefetchL1 = index + VSIZE * SOFTWARE_PREFETCH_LOOKAHEAD_L1; | |
724 | // make sure that adjList access is never out of bounds since it is an actual memory access and no prefetch | |
725 | if (indexPrefetchL1 < indexStop){ | |
726 | adjListIndex = (indexPrefetchL1 - (indexPrefetchL1 % VSIZE)) * N_D3Q19_IDX + (indexPrefetchL1 % VSIZE); | |
727 | #define X(name, idx, idxinv, _x, _y, _z) VPG32(VLIU(&ADJ_LIST(idxinv)), (char const *) src, 8, _MM_HINT_T0); | |
728 | D3Q19_LIST_WO_C | |
729 | #undef X | |
730 | ||
731 | _mm_prefetch((char const *) &(src[P_INDEX_3(nCells, indexPrefetchL1, D3Q19_C)]), _MM_HINT_T0); | |
732 | } | |
733 | #endif | |
734 | ||
735 | adjListIndex = (index - (index % VSIZE)) * N_D3Q19_IDX + (index % VSIZE); | |
736 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(vgatheridx_,name) = VLIU(&(ADJ_LIST(idxinv))); | |
737 | D3Q19_LIST_WO_C | |
738 | #undef X | |
739 | ||
740 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VG32(JOIN(vgatheridx_,name), src, 8); | |
741 | D3Q19_LIST_WO_C | |
742 | #undef X | |
743 | ||
744 | ppdf_C = &(src[P_INDEX_3(nCells, index, D3Q19_C)]); | |
745 | vpdf_C = VLDU(ppdf_C); | |
746 | ||
747 | // macroscopic values | |
748 | //vux = vpdf_E + vpdf_NE + vpdf_SE + vpdf_TE + vpdf_BE - | |
749 | // vpdf_W - vpdf_NW - vpdf_SW - vpdf_TW - vpdf_BW; | |
750 | 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); | |
751 | //vuy = vpdf_N + vpdf_NE + vpdf_NW + vpdf_TN + vpdf_BN - | |
752 | // vpdf_S - vpdf_SE - vpdf_SW - vpdf_TS - vpdf_BS; | |
753 | 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); | |
754 | //vuz = vpdf_T + vpdf_TE + vpdf_TW + vpdf_TN + vpdf_TS - | |
755 | // vpdf_B - vpdf_BE - vpdf_BW - vpdf_BN - vpdf_BS; | |
756 | 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); | |
757 | ||
758 | //vdens = vpdf_C + | |
759 | // vpdf_N + vpdf_E + vpdf_S + vpdf_W + | |
760 | // vpdf_NE + vpdf_SE + vpdf_SW + vpdf_NW + | |
761 | // vpdf_T + vpdf_TN + vpdf_TE + vpdf_TS + vpdf_TW + | |
762 | // vpdf_B + vpdf_BN + vpdf_BE + vpdf_BS + vpdf_BW; | |
763 | 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)), | |
764 | 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)); | |
765 | ||
766 | //vdir_indep_trm = vdens - (vux * vux + vuy * vuy + vuz * vuz) * VTHREE_HALF; | |
767 | vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF)); | |
768 | ||
769 | // collide direction: w_0 | |
770 | //src[I(index, D3Q19_C)] =[UA] vpdf_C - vomegaEven * (vpdf_C - vw_0 * vdir_indep_trm); | |
771 | VSTU(ppdf_C,VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm))))); | |
772 | ||
773 | ||
774 | // collide axis aligend pdfs vectorized | |
775 | #define SCAT(offsets, vsrc) VS32(src, offsets, vsrc, 8) | |
776 | ||
777 | // collide direction: w_1 | |
778 | vw_1_indep = VMUL(vw_1,vdir_indep_trm); | |
779 | ||
780 | #define COLLIDE_AA_V(tmpVui, dir1, dir2) \ | |
781 | vui = tmpVui; \ | |
782 | 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));\ | |
783 | voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_1_x3)));\ | |
784 | SCAT(JOIN(vgatheridx_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart));\ | |
785 | SCAT(JOIN(vgatheridx_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart)); | |
786 | ||
787 | COLLIDE_AA_V(vuy, N, S) | |
788 | COLLIDE_AA_V(vux, E, W) | |
789 | COLLIDE_AA_V(vuz, T, B) | |
790 | ||
791 | #undef COLLIDE_AA_V | |
792 | ||
793 | // collide direction: w_2 | |
794 | vw_2_indep = VMUL(vw_2,vdir_indep_trm); | |
795 | ||
796 | #define COLLIDE_UA_V(tmpVui, dir1, dir2) \ | |
797 | vui = tmpVui; \ | |
798 | 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));\ | |
799 | voddPart = VMUL(vomegaOdd,VSUB(VMUL(VONE_HALF,VSUB(JOIN(vpdf_,dir1),JOIN(vpdf_,dir2))),VMUL(vui,vw_2_x3)));\ | |
800 | SCAT(JOIN(vgatheridx_,dir2),VSUB(VSUB(JOIN(vpdf_,dir1),vevenPart),voddPart)); \ | |
801 | SCAT(JOIN(vgatheridx_,dir1),VADD(VSUB(JOIN(vpdf_,dir2),vevenPart),voddPart)); | |
802 | ||
803 | COLLIDE_UA_V(VSUB(vuy,vux), NW, SE) | |
804 | COLLIDE_UA_V(VADD(vux,vuy), NE, SW) | |
805 | COLLIDE_UA_V(VSUB(vuz,vux), TW, BE) | |
806 | COLLIDE_UA_V(VADD(vux,vuz), TE, BW) | |
807 | COLLIDE_UA_V(VSUB(vuz,vuy), TS, BN) | |
808 | COLLIDE_UA_V(VADD(vuy,vuz), TN, BS) | |
809 | ||
810 | #undef COLLIDE_UA_V | |
811 | #undef SCAT | |
812 | } // gather & scatter loop | |
813 | ||
814 | } // Vectorized Loop | |
815 | ||
816 | // Scalar remainder loop | |
817 | #pragma novector | |
818 | #pragma loop_count max=7 | |
819 | for (int index = loopStartIndices[consecStopIndex]; index < indexStop; ++index) { | |
820 | ||
821 | adjListIndex = (index - (index % VSIZE)) * N_D3Q19_IDX + (index % VSIZE); | |
822 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &(src[ADJ_LIST(idxinv)]); | |
823 | D3Q19_LIST_WO_C | |
824 | #undef X | |
825 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(pdf_,name) = *(JOIN(ppdf_,name)); | |
826 | D3Q19_LIST_WO_C | |
827 | #undef X | |
828 | ||
829 | ppdf_C = &(src[P_INDEX_3(nCells, index, D3Q19_C)]); | |
830 | pdf_C = *ppdf_C; | |
831 | ||
832 | // macroscopic values | |
833 | ux = pdf_E + pdf_NE + pdf_SE + pdf_TE + pdf_BE - | |
834 | pdf_W - pdf_NW - pdf_SW - pdf_TW - pdf_BW; | |
835 | uy = pdf_N + pdf_NE + pdf_NW + pdf_TN + pdf_BN - | |
836 | pdf_S - pdf_SE - pdf_SW - pdf_TS - pdf_BS; | |
837 | uz = pdf_T + pdf_TE + pdf_TW + pdf_TN + pdf_TS - | |
838 | pdf_B - pdf_BE - pdf_BW - pdf_BN - pdf_BS; | |
839 | ||
840 | dens = pdf_C + | |
841 | pdf_N + pdf_E + pdf_S + pdf_W + | |
842 | pdf_NE + pdf_SE + pdf_SW + pdf_NW + | |
843 | pdf_T + pdf_TN + pdf_TE + pdf_TS + pdf_TW + | |
844 | pdf_B + pdf_BN + pdf_BE + pdf_BS + pdf_BW; | |
845 | ||
846 | dir_indep_trm = dens - (ux * ux + uy * uy + uz * uz)*3.0/2.0; | |
847 | ||
848 | // collide direction: w_0 | |
849 | *ppdf_C = pdf_C - omegaEven * (pdf_C - w_0 * dir_indep_trm); | |
850 | ||
851 | // collide direction: w_1 | |
852 | w_1_indep = w_1 * dir_indep_trm; | |
853 | ||
854 | #define COLLIDE_AA_S(tmpUi, dir1, dir2) \ | |
855 | ui = tmpUi; \ | |
856 | evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_1_nine_half - w_1_indep); \ | |
857 | oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_1_x3); \ | |
858 | *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \ | |
859 | *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart; | |
860 | ||
861 | COLLIDE_AA_S(uy, N, S) | |
862 | COLLIDE_AA_S(ux, E, W) | |
863 | COLLIDE_AA_S(uz, T, B) | |
864 | ||
865 | #undef COLLIDE_AA_S | |
866 | ||
867 | // collide direction: w_2 | |
868 | w_2_indep = w_2 * dir_indep_trm; | |
869 | ||
870 | #define COLLIDE_UA_S(tmpUi, dir1, dir2) \ | |
871 | ui = tmpUi; \ | |
872 | evenPart = omegaEven * (0.5 * (JOIN(pdf_,dir1) + JOIN(pdf_,dir2)) - ui * ui * w_2_nine_half - w_2_indep); \ | |
873 | oddPart = omegaOdd * (0.5 * (JOIN(pdf_,dir1) - JOIN(pdf_,dir2)) - ui * w_2_x3); \ | |
874 | *(JOIN(ppdf_,dir2)) = JOIN(pdf_,dir1) - evenPart - oddPart; \ | |
875 | *(JOIN(ppdf_,dir1)) = JOIN(pdf_,dir2) - evenPart + oddPart; | |
876 | ||
877 | COLLIDE_UA_S((-ux + uy), NW, SE) | |
878 | COLLIDE_UA_S(( ux + uy), NE, SW) | |
879 | COLLIDE_UA_S((-ux + uz), TW, BE) | |
880 | COLLIDE_UA_S(( ux + uz), TE, BW) | |
881 | COLLIDE_UA_S((-uy + uz), TS, BN) | |
882 | COLLIDE_UA_S(( uy + uz), TN, BS) | |
883 | ||
884 | #undef COLLIDE_UA_S | |
885 | ||
886 | } // remainder loop over fluid nodes | |
887 | ||
888 | #undef SOFTWARE_PREFETCH_LOAD_STORE | |
889 | #undef SOFTWARE_PREFETCH_LOAD_STORE_HINT | |
890 | #undef SOFTWARE_PREFETCH_LOAD_STORE_LOOKAHEAD | |
891 | #undef SOFTWARE_PREFETCH_GATHER_SCATTER | |
892 | #undef SOFTWARE_PREFETCH_GATHER_SCATTER_HINT | |
893 | #undef SOFTWARE_PREFETCH_GATHER_SCATTER_LOOKAHEAD | |
894 | #undef ADJ_LIST | |
895 | #undef I | |
896 | } |