| 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 | } |