| 1 | // -------------------------------------------------------------------------- |
| 2 | // |
| 3 | // Copyright |
| 4 | // Markus Wittmann, 2016-2017 |
| 5 | // RRZE, University of Erlangen-Nuremberg, Germany |
| 6 | // markus.wittmann -at- fau.de or hpc -at- rrze.fau.de |
| 7 | // |
| 8 | // Viktor Haag, 2016 |
| 9 | // LSS, University of Erlangen-Nuremberg, Germany |
| 10 | // |
| 11 | // This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels). |
| 12 | // |
| 13 | // LbmBenchKernels is free software: you can redistribute it and/or modify |
| 14 | // it under the terms of the GNU General Public License as published by |
| 15 | // the Free Software Foundation, either version 3 of the License, or |
| 16 | // (at your option) any later version. |
| 17 | // |
| 18 | // LbmBenchKernels is distributed in the hope that it will be useful, |
| 19 | // but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 20 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 21 | // GNU General Public License for more details. |
| 22 | // |
| 23 | // You should have received a copy of the GNU General Public License |
| 24 | // along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>. |
| 25 | // |
| 26 | // -------------------------------------------------------------------------- |
| 27 | #include "BenchKernelD3Q19AaVecCommon.h" |
| 28 | |
| 29 | #include "Memory.h" |
| 30 | #include "Vtk.h" |
| 31 | #include "LikwidIf.h" |
| 32 | #include "Vector.h" |
| 33 | #include "Vector.h" |
| 34 | |
| 35 | #include <inttypes.h> |
| 36 | #include <math.h> |
| 37 | |
| 38 | #ifdef _OPENMP |
| 39 | #include <omp.h> |
| 40 | #endif |
| 41 | |
| 42 | static void KernelEven(LatticeDesc * ld, KernelData * kd, CaseData * cd); |
| 43 | static void KernelOddVecSl(LatticeDesc * ld, KernelData * kd, CaseData * cd); |
| 44 | |
| 45 | #if 1 // {{{ |
| 46 | void DumpPdfs(LatticeDesc * ld, KernelData * kd, int zStart, int zStop, int iter, const char * prefix, int dir) |
| 47 | { |
| 48 | int * gDims = kd->GlobalDims; |
| 49 | |
| 50 | int nX = gDims[0]; |
| 51 | int nY = gDims[1]; |
| 52 | // int nZ = gDims[2]; |
| 53 | |
| 54 | PdfT pdfs[N_D3Q19]; |
| 55 | |
| 56 | int localZStart = zStart; |
| 57 | int localZStop = zStop; |
| 58 | |
| 59 | if (localZStart == -1) localZStart = 0; |
| 60 | if (localZStop == -1) localZStop = gDims[2] - 1; |
| 61 | |
| 62 | printf("D iter: %d dir: %d %s\n", iter, dir, D3Q19_NAMES[dir]); |
| 63 | |
| 64 | // for (int dir = 0; dir < 19; ++dir) { |
| 65 | for (int z = localZStop; z >= localZStart; --z) { |
| 66 | printf("D [%2d][%2d][%s] plane % 2d\n", iter, dir, prefix, z); |
| 67 | |
| 68 | for(int y = 0; y < nY; ++y) { |
| 69 | // for(int y = 2; y < nY - 2; ++y) { |
| 70 | printf("D [%2d][%2d][%s] %2d ", iter, dir, prefix, y); |
| 71 | |
| 72 | for(int x = 0; x < nX; ++x) { |
| 73 | |
| 74 | if (1) { // ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] != LAT_CELL_OBSTACLE) { |
| 75 | |
| 76 | #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir)) |
| 77 | pdfs[dir] = kd->PdfsActive[I(x, y, z, dir)]; |
| 78 | #undef I |
| 79 | } |
| 80 | else { |
| 81 | pdfs[dir] = -1.0; |
| 82 | } |
| 83 | |
| 84 | printf("%.16e ", pdfs[dir]); |
| 85 | // printf("%08.0f ", pdfs[dir]); |
| 86 | } |
| 87 | |
| 88 | printf("\n"); |
| 89 | } |
| 90 | } |
| 91 | // } |
| 92 | } |
| 93 | #endif // }}} |
| 94 | |
| 95 | void FNAME(D3Q19AaVecSlKernel)(LatticeDesc * ld, KernelData * kd, CaseData * cd) |
| 96 | { |
| 97 | Assert(ld != NULL); |
| 98 | Assert(kd != NULL); |
| 99 | Assert(cd != NULL); |
| 100 | |
| 101 | Assert(cd->Omega > 0.0); |
| 102 | Assert(cd->Omega < 2.0); |
| 103 | |
| 104 | KernelDataAa * kda = KDA(kd); |
| 105 | |
| 106 | PdfT * src = kd->PdfsActive; |
| 107 | |
| 108 | int maxIterations = cd->MaxIterations; |
| 109 | |
| 110 | #ifdef VTK_OUTPUT |
| 111 | if (cd->VtkOutput) { |
| 112 | kd->PdfsActive = src; |
| 113 | VtkWrite(ld, kd, cd, -1); |
| 114 | } |
| 115 | #endif |
| 116 | |
| 117 | #ifdef STATISTICS |
| 118 | kd->PdfsActive = src; |
| 119 | KernelStatistics(kd, ld, cd, 0); |
| 120 | #endif |
| 121 | |
| 122 | Assert((maxIterations % 2) == 0); |
| 123 | |
| 124 | #ifdef _OPENMP |
| 125 | #pragma omp parallel default(none) shared(kda, kd, ld, cd, src, maxIterations) |
| 126 | #endif |
| 127 | { |
| 128 | for (int iter = 0; iter < maxIterations; iter += 2) { |
| 129 | |
| 130 | // -------------------------------------------------------------------- |
| 131 | // even time step |
| 132 | // -------------------------------------------------------------------- |
| 133 | |
| 134 | X_LIKWID_START("aa-vec-even"); |
| 135 | |
| 136 | KernelEven(ld, kd, cd); |
| 137 | #ifdef _OPENMP |
| 138 | #pragma omp barrier |
| 139 | #endif |
| 140 | |
| 141 | X_LIKWID_STOP("aa-vec-even"); |
| 142 | |
| 143 | // Fixup bounce back PDFs. |
| 144 | #ifdef _OPENMP |
| 145 | #pragma omp for |
| 146 | #endif |
| 147 | #ifdef INTEL_OPT_DIRECTIVES |
| 148 | #pragma ivdep |
| 149 | #endif |
| 150 | for (int i = 0; i < kd->nBounceBackPdfs; ++i) { |
| 151 | src[kd->BounceBackPdfsSrc[i]] = src[kd->BounceBackPdfsDst[i]]; |
| 152 | } |
| 153 | |
| 154 | #ifdef _OPENMP |
| 155 | #pragma omp single |
| 156 | #endif |
| 157 | { |
| 158 | // save current iteration |
| 159 | kda->Iteration = iter; |
| 160 | |
| 161 | #ifdef VERIFICATION |
| 162 | kd->PdfsActive = src; |
| 163 | KernelAddBodyForce(kd, ld, cd); |
| 164 | #endif |
| 165 | |
| 166 | #ifdef VTK_OUTPUT |
| 167 | if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) { |
| 168 | kd->PdfsActive = src; |
| 169 | VtkWrite(ld, kd, cd, iter); |
| 170 | } |
| 171 | #endif |
| 172 | |
| 173 | #ifdef STATISTICS |
| 174 | kd->PdfsActive = src; |
| 175 | KernelStatistics(kd, ld, cd, iter); |
| 176 | #endif |
| 177 | } |
| 178 | #ifdef _OPENMP |
| 179 | #pragma omp barrier |
| 180 | #endif |
| 181 | |
| 182 | |
| 183 | // -------------------------------------------------------------------- |
| 184 | // odd time step |
| 185 | // -------------------------------------------------------------------- |
| 186 | |
| 187 | X_LIKWID_START("aa-vec-odd"); |
| 188 | |
| 189 | |
| 190 | KernelOddVecSl(ld, kd, cd); |
| 191 | #ifdef _OPENMP |
| 192 | #pragma omp barrier |
| 193 | #endif |
| 194 | |
| 195 | // Stop counters before bounce back. Else computing loop balance will |
| 196 | // be incorrect. |
| 197 | |
| 198 | X_LIKWID_STOP("aa-vec-odd"); |
| 199 | |
| 200 | // Fixup bounce back PDFs. |
| 201 | #ifdef _OPENMP |
| 202 | #pragma omp for |
| 203 | #endif |
| 204 | #ifdef INTEL_OPT_DIRECTIVES |
| 205 | #pragma ivdep |
| 206 | #endif |
| 207 | for (int i = 0; i < kd->nBounceBackPdfs; ++i) { |
| 208 | src[kd->BounceBackPdfsDst[i]] = src[kd->BounceBackPdfsSrc[i]]; |
| 209 | } |
| 210 | |
| 211 | #ifdef _OPENMP |
| 212 | #pragma omp single |
| 213 | #endif |
| 214 | { |
| 215 | // save current iteration |
| 216 | kda->Iteration = iter + 1; |
| 217 | |
| 218 | #ifdef VERIFICATION |
| 219 | kd->PdfsActive = src; |
| 220 | KernelAddBodyForce(kd, ld, cd); |
| 221 | #endif |
| 222 | |
| 223 | #ifdef VTK_OUTPUT |
| 224 | if (cd->VtkOutput && ((iter + 1) % cd->VtkModulus) == 0) { |
| 225 | kd->PdfsActive = src; |
| 226 | VtkWrite(ld, kd, cd, iter + 1); |
| 227 | } |
| 228 | #endif |
| 229 | |
| 230 | #ifdef STATISTICS |
| 231 | kd->PdfsActive = src; |
| 232 | KernelStatistics(kd, ld, cd, iter + 1); |
| 233 | #endif |
| 234 | } |
| 235 | #ifdef _OPENMP |
| 236 | #pragma omp barrier |
| 237 | #endif |
| 238 | } // for (int iter = 0; ... |
| 239 | } // omp parallel |
| 240 | |
| 241 | #ifdef VTK_OUTPUT |
| 242 | |
| 243 | if (cd->VtkOutput) { |
| 244 | kd->PdfsActive = src; |
| 245 | VtkWrite(ld, kd, cd, maxIterations); |
| 246 | } |
| 247 | |
| 248 | #endif |
| 249 | |
| 250 | return; |
| 251 | } |
| 252 | |
| 253 | static void KernelEven(LatticeDesc * ld, KernelData * kd, CaseData * cd) // {{{ |
| 254 | { |
| 255 | Assert(ld != NULL); |
| 256 | Assert(kd != NULL); |
| 257 | Assert(cd != NULL); |
| 258 | |
| 259 | Assert(cd->Omega > F(0.0)); |
| 260 | Assert(cd->Omega < F(2.0)); |
| 261 | |
| 262 | KernelDataAa * kda = KDA(kd); |
| 263 | |
| 264 | int nX = ld->Dims[0]; |
| 265 | int nY = ld->Dims[1]; |
| 266 | int nZ = ld->Dims[2]; |
| 267 | |
| 268 | int * gDims = kd->GlobalDims; |
| 269 | |
| 270 | int oX = kd->Offsets[0]; |
| 271 | int oY = kd->Offsets[1]; |
| 272 | int oZ = kd->Offsets[2]; |
| 273 | |
| 274 | int blk[3]; |
| 275 | blk[0] = kda->Blk[0]; |
| 276 | blk[1] = kda->Blk[1]; |
| 277 | blk[2] = kda->Blk[2]; |
| 278 | |
| 279 | PdfT omega = cd->Omega; |
| 280 | PdfT omegaEven = omega; |
| 281 | |
| 282 | PdfT magicParam = F(1.0) / F(12.0); |
| 283 | PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5))); |
| 284 | |
| 285 | const PdfT w_0 = F(1.0) / F( 3.0); |
| 286 | const PdfT w_1 = F(1.0) / F(18.0); |
| 287 | const PdfT w_2 = F(1.0) / F(36.0); |
| 288 | |
| 289 | const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0); |
| 290 | const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0); |
| 291 | |
| 292 | |
| 293 | VPDFT VONE_HALF = VSET(F(0.5)); |
| 294 | VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0)); |
| 295 | |
| 296 | VPDFT vw_1_indep, vw_2_indep; |
| 297 | VPDFT vw_0 = VSET(w_0); |
| 298 | VPDFT vw_1 = VSET(w_1); |
| 299 | VPDFT vw_2 = VSET(w_2); |
| 300 | |
| 301 | VPDFT vw_1_x3 = VSET(w_1_x3); |
| 302 | VPDFT vw_2_x3 = VSET(w_2_x3); |
| 303 | VPDFT vw_1_nine_half = VSET(w_1_nine_half); |
| 304 | VPDFT vw_2_nine_half = VSET(w_2_nine_half); |
| 305 | |
| 306 | VPDFT vui, vux, vuy, vuz, vdens; |
| 307 | |
| 308 | VPDFT vevenPart, voddPart, vdir_indep_trm; |
| 309 | |
| 310 | VPDFT vomegaEven = VSET(omegaEven); |
| 311 | VPDFT vomegaOdd = VSET(omegaOdd); |
| 312 | |
| 313 | VPDFT vpdf_a, vpdf_b; |
| 314 | |
| 315 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... |
| 316 | #define X(name, idx, idxinv, x, y, z) VPDFT JOIN(vpdf_,name); PdfT * JOIN(ppdf_,name); |
| 317 | D3Q19_LIST |
| 318 | #undef X |
| 319 | |
| 320 | PdfT * src = kd->Pdfs[0]; |
| 321 | |
| 322 | int nThreads = 1; |
| 323 | int threadId = 0; |
| 324 | |
| 325 | #ifdef _OPENMP |
| 326 | nThreads = omp_get_max_threads(); |
| 327 | threadId = omp_get_thread_num(); |
| 328 | #endif |
| 329 | |
| 330 | const int nodesPlane = gDims[1] * gDims[2]; |
| 331 | const int nodesCol = gDims[2]; |
| 332 | |
| 333 | #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir)) |
| 334 | |
| 335 | // TODO: make inline function out of macros. |
| 336 | |
| 337 | #define IMPLODE(_x, _y, _z) (nodesPlane * (_x) + nodesCol * (_y) + (_z)) |
| 338 | #define EXPLODE(index, _x, _y, _z) _x = index / (nodesPlane); _y = (index - nodesPlane * (_x)) / nodesCol; _z = index - nodesPlane * (_x) - nodesCol * (_y); |
| 339 | |
| 340 | int startX = oX; |
| 341 | int startY = oY; |
| 342 | int startZ = oZ; |
| 343 | |
| 344 | int indexStart = IMPLODE(startX, startY, startZ); |
| 345 | int indexEnd = IMPLODE(startX + nX - 1, startY + nY - 1, startZ + nZ - 1); |
| 346 | |
| 347 | // How many cells as multiples of VSIZE do we have (rounded up)? |
| 348 | int nVCells = (indexEnd - indexStart + 1 + VSIZE - 1) / VSIZE; |
| 349 | |
| 350 | int threadStart = nVCells / nThreads * threadId; |
| 351 | int threadEnd = nVCells / nThreads * (threadId + 1); |
| 352 | |
| 353 | if (nVCells % nThreads > threadId) { |
| 354 | threadStart += threadId; |
| 355 | threadEnd += threadId + 1; |
| 356 | } |
| 357 | else { |
| 358 | threadStart += nVCells % nThreads; |
| 359 | threadEnd += nVCells % nThreads; |
| 360 | } |
| 361 | |
| 362 | threadStart *= VSIZE; |
| 363 | threadEnd *= VSIZE; |
| 364 | |
| 365 | // As threadStart/End is now in the granularity of cells we add the start offset. |
| 366 | threadStart += indexStart; |
| 367 | threadEnd += indexStart; |
| 368 | |
| 369 | EXPLODE(threadStart, startX, startY, startZ); |
| 370 | |
| 371 | #undef EXPLODE |
| 372 | #undef IMPLODE |
| 373 | |
| 374 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &src[I(startX, startY, startZ, idx)]; |
| 375 | D3Q19_LIST |
| 376 | #undef X |
| 377 | |
| 378 | // printf("e thread %d idx start: %d end: %d thread start: %d end: %d\n", |
| 379 | // threadId, indexStart, indexEnd, threadStart, threadEnd); |
| 380 | |
| 381 | |
| 382 | for (int i = threadStart; i < threadEnd; i += VSIZE) { |
| 383 | |
| 384 | // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ... |
| 385 | // #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(&src[I(x, y, z, idx)]); |
| 386 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,name)); |
| 387 | D3Q19_LIST |
| 388 | #undef X |
| 389 | |
| 390 | |
| 391 | 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); |
| 392 | 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); |
| 393 | 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); |
| 394 | |
| 395 | 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)), |
| 396 | VADD(vpdf_SW,vpdf_NW)),VADD(vpdf_T,vpdf_TN)),VADD(vpdf_TE,vpdf_TS)),VADD(vpdf_TW,vpdf_B)), |
| 397 | VADD(vpdf_BN,vpdf_BE)),VADD(vpdf_BS,vpdf_BW)); |
| 398 | |
| 399 | vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF)); |
| 400 | |
| 401 | VSTU(ppdf_C, VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm))))); |
| 402 | |
| 403 | vw_1_indep = VMUL(vw_1,vdir_indep_trm); |
| 404 | vw_2_indep = VMUL(vw_2,vdir_indep_trm); |
| 405 | |
| 406 | #if defined(LOOP_1) || defined(LOOP_2) |
| 407 | #error Loop macros are not allowed to be defined here. |
| 408 | #endif |
| 409 | |
| 410 | #define LOOP_1(_dir1, _dir2, _vel) \ |
| 411 | vui = _vel; \ |
| 412 | vpdf_a = JOIN(vpdf_,_dir1); \ |
| 413 | vpdf_b = JOIN(vpdf_,_dir2); \ |
| 414 | \ |
| 415 | vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_1_nine_half))), vw_1_indep)); \ |
| 416 | voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_1_x3))); \ |
| 417 | \ |
| 418 | VSTU(JOIN(ppdf_,_dir2), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \ |
| 419 | VSTU(JOIN(ppdf_,_dir1), VADD(VSUB(vpdf_b, vevenPart), voddPart)); |
| 420 | |
| 421 | #define LOOP_2(_dir1, _dir2, _expr) \ |
| 422 | vui = _expr; \ |
| 423 | vpdf_a = JOIN(vpdf_,_dir1); \ |
| 424 | vpdf_b = JOIN(vpdf_,_dir2); \ |
| 425 | \ |
| 426 | vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_2_nine_half))), vw_2_indep)); \ |
| 427 | voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_2_x3))); \ |
| 428 | \ |
| 429 | VSTU(JOIN(ppdf_,_dir2), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \ |
| 430 | VSTU(JOIN(ppdf_,_dir1), VADD(VSUB(vpdf_b, vevenPart), voddPart)); |
| 431 | |
| 432 | LOOP_1(N, S, vuy); |
| 433 | LOOP_1(E, W, vux); |
| 434 | LOOP_1(T, B, vuz); |
| 435 | |
| 436 | LOOP_2(NW, SE, VSUB(vuy, vux)); |
| 437 | LOOP_2(NE, SW, VADD(vuy, vux)); |
| 438 | LOOP_2(TW, BE, VSUB(vuz, vux)); |
| 439 | LOOP_2(TE, BW, VADD(vuz, vux)); |
| 440 | LOOP_2(TS, BN, VSUB(vuz, vuy)); |
| 441 | LOOP_2(TN, BS, VADD(vuz, vuy)); |
| 442 | |
| 443 | #undef LOOP_1 |
| 444 | #undef LOOP_2 |
| 445 | |
| 446 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) += VSIZE; |
| 447 | D3Q19_LIST |
| 448 | #undef X |
| 449 | } |
| 450 | |
| 451 | #undef I |
| 452 | |
| 453 | return; |
| 454 | } // }}} |
| 455 | |
| 456 | |
| 457 | static void KernelOddVecSl(LatticeDesc * ld, KernelData * kd, CaseData * cd) // {{{ |
| 458 | { |
| 459 | Assert(ld != NULL); |
| 460 | Assert(kd != NULL); |
| 461 | Assert(cd != NULL); |
| 462 | |
| 463 | Assert(cd->Omega > 0.0); |
| 464 | Assert(cd->Omega < F(2.0)); |
| 465 | |
| 466 | KernelDataAa * kda = KDA(kd); |
| 467 | |
| 468 | int nX = ld->Dims[0]; |
| 469 | int nY = ld->Dims[1]; |
| 470 | int nZ = ld->Dims[2]; |
| 471 | |
| 472 | int * gDims = kd->GlobalDims; |
| 473 | |
| 474 | int oX = kd->Offsets[0]; |
| 475 | int oY = kd->Offsets[1]; |
| 476 | int oZ = kd->Offsets[2]; |
| 477 | |
| 478 | int blk[3]; |
| 479 | blk[0] = kda->Blk[0]; |
| 480 | blk[1] = kda->Blk[1]; |
| 481 | blk[2] = kda->Blk[2]; |
| 482 | |
| 483 | PdfT omega = cd->Omega; |
| 484 | PdfT omegaEven = omega; |
| 485 | |
| 486 | PdfT magicParam = F(1.0) / F(12.0); |
| 487 | PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5))); |
| 488 | |
| 489 | const PdfT w_0 = F(1.0) / F( 3.0); |
| 490 | const PdfT w_1 = F(1.0) / F(18.0); |
| 491 | const PdfT w_2 = F(1.0) / F(36.0); |
| 492 | |
| 493 | const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0); |
| 494 | const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0); |
| 495 | |
| 496 | VPDFT VONE_HALF = VSET(F(0.5)); |
| 497 | VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0)); |
| 498 | |
| 499 | VPDFT vw_1_indep, vw_2_indep; |
| 500 | VPDFT vw_0 = VSET(w_0); |
| 501 | VPDFT vw_1 = VSET(w_1); |
| 502 | VPDFT vw_2 = VSET(w_2); |
| 503 | |
| 504 | VPDFT vw_1_x3 = VSET(w_1_x3); |
| 505 | VPDFT vw_2_x3 = VSET(w_2_x3); |
| 506 | VPDFT vw_1_nine_half = VSET(w_1_nine_half); |
| 507 | VPDFT vw_2_nine_half = VSET(w_2_nine_half); |
| 508 | |
| 509 | VPDFT vui, vux, vuy, vuz, vdens; |
| 510 | |
| 511 | VPDFT vevenPart, voddPart, vdir_indep_trm; |
| 512 | |
| 513 | VPDFT vomegaEven = VSET(omegaEven); |
| 514 | VPDFT vomegaOdd = VSET(omegaOdd); |
| 515 | |
| 516 | VPDFT vpdf_a, vpdf_b; |
| 517 | |
| 518 | // Declare pdf_N, pdf_E, pdf_S, pdf_W, ... |
| 519 | #define X(name, idx, idxinv, x, y, z) VPDFT JOIN(vpdf_,name); PdfT * JOIN(ppdf_,idx); |
| 520 | D3Q19_LIST |
| 521 | #undef X |
| 522 | |
| 523 | PdfT * src = kd->Pdfs[0]; |
| 524 | |
| 525 | int nThreads = 1; |
| 526 | int threadId = 0; |
| 527 | |
| 528 | #ifdef _OPENMP |
| 529 | nThreads = omp_get_max_threads(); |
| 530 | threadId = omp_get_thread_num(); |
| 531 | #endif |
| 532 | |
| 533 | const int nodesPlane = gDims[1] * gDims[2]; |
| 534 | const int nodesCol = gDims[2]; |
| 535 | |
| 536 | #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir)) |
| 537 | |
| 538 | // TODO: make inline function out of macros. |
| 539 | |
| 540 | #define IMPLODE(_x, _y, _z) (nodesPlane * (_x) + nodesCol * (_y) + (_z)) |
| 541 | #define EXPLODE(index, _x, _y, _z) _x = index / (nodesPlane); _y = (index - nodesPlane * (_x)) / nodesCol; _z = index - nodesPlane * (_x) - nodesCol * (_y); |
| 542 | |
| 543 | int startX = oX; |
| 544 | int startY = oY; |
| 545 | int startZ = oZ; |
| 546 | |
| 547 | int indexStart = IMPLODE(startX, startY, startZ); |
| 548 | int indexEnd = IMPLODE(startX + nX - 1, startY + nY - 1, startZ + nZ - 1); |
| 549 | |
| 550 | // How many multiples of VSIZE cells (rounded up) do we have? |
| 551 | int nVCells = (indexEnd - indexStart + 1 + VSIZE - 1) / VSIZE; |
| 552 | |
| 553 | int threadStart = nVCells / nThreads * threadId; |
| 554 | int threadEnd = nVCells / nThreads * (threadId + 1); |
| 555 | |
| 556 | if (nVCells % nThreads > threadId) { |
| 557 | threadStart += threadId; |
| 558 | threadEnd += threadId + 1; |
| 559 | } |
| 560 | else { |
| 561 | threadStart += nVCells % nThreads; |
| 562 | threadEnd += nVCells % nThreads; |
| 563 | } |
| 564 | |
| 565 | threadStart *= VSIZE; |
| 566 | threadEnd *= VSIZE; |
| 567 | |
| 568 | // As threadStart/End is now in the granularity of cells we add the start offset. |
| 569 | threadStart += indexStart; |
| 570 | threadEnd += indexStart; |
| 571 | |
| 572 | EXPLODE(threadStart, startX, startY, startZ); |
| 573 | |
| 574 | #undef EXPLODE |
| 575 | #undef IMPLODE |
| 576 | |
| 577 | // printf("o thread %d idx start: %d end: %d thread start: %d end: %d\n", |
| 578 | // threadId, indexStart, indexEnd, threadStart, threadEnd); |
| 579 | |
| 580 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,idx) = &src[I(startX + _x, startY + _y, startZ + _z, idx)]; |
| 581 | D3Q19_LIST |
| 582 | #undef X |
| 583 | |
| 584 | #if DEBUG_EXTENDED |
| 585 | |
| 586 | #define X(name, idx, idxinv, x, y, z) PdfT * JOIN(ppdf_start_,idx), * JOIN(ppdf_end_,idx); |
| 587 | D3Q19_LIST |
| 588 | #undef X |
| 589 | |
| 590 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_start_,idx) = &src[I(startX + _x, startY + _y, startZ + _z, idx)]; |
| 591 | D3Q19_LIST |
| 592 | #undef X |
| 593 | |
| 594 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_end_,idx) = &src[I(startX + nX - 1 + _x, startY + nY - 1 + _y, startZ + nZ - 1 + _z, idx)]; |
| 595 | D3Q19_LIST |
| 596 | #undef X |
| 597 | |
| 598 | #if 0 |
| 599 | #define X(name, idx, idxinv, _x, _y, _z) printf("%2s ppdf_%d = %p (%d %d %d) (%d %d %d)\n", STRINGIFY(name), idx, JOIN(ppdf_,idx), \ |
| 600 | startX , startY , startZ , startX + _x, startY + _y, startZ + _z); |
| 601 | D3Q19_LIST |
| 602 | #undef X |
| 603 | #endif |
| 604 | |
| 605 | #endif // DEBUG_EXTENDED |
| 606 | |
| 607 | |
| 608 | for (int i = threadStart; i < threadEnd; i += VSIZE) { |
| 609 | |
| 610 | #if DEBUG_EXTENDED |
| 611 | #define X(name, idx, idxinv, _x, _y, _z) Assert((unsigned long)(JOIN(ppdf_,idx)) >= (unsigned long)(JOIN(ppdf_start_,idx))); Assert((unsigned long)(JOIN(ppdf_,idx)) <= (unsigned long)(JOIN(ppdf_end_,idx))); |
| 612 | D3Q19_LIST |
| 613 | #undef X |
| 614 | #endif |
| 615 | |
| 616 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,idxinv)); |
| 617 | D3Q19_LIST |
| 618 | #undef X |
| 619 | |
| 620 | 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); |
| 621 | 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); |
| 622 | 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); |
| 623 | |
| 624 | 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)), |
| 625 | 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)); |
| 626 | |
| 627 | vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF)); |
| 628 | |
| 629 | // ppdf_18 is the pointer to the center pdfs. |
| 630 | VSTU(ppdf_18, VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm))))); |
| 631 | |
| 632 | vw_1_indep = VMUL(vw_1,vdir_indep_trm); |
| 633 | vw_2_indep = VMUL(vw_2,vdir_indep_trm); |
| 634 | |
| 635 | #if defined(LOOP_1) || defined(LOOP_2) |
| 636 | #error Loop macros are not allowed to be defined here. |
| 637 | #endif |
| 638 | |
| 639 | #define LOOP_1(_dir1, _dir2, _idx1, _idx2, _vel) \ |
| 640 | vui = _vel; \ |
| 641 | vpdf_a = JOIN(vpdf_,_dir1); \ |
| 642 | vpdf_b = JOIN(vpdf_,_dir2); \ |
| 643 | \ |
| 644 | vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_1_nine_half))), vw_1_indep)); \ |
| 645 | voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_1_x3))); \ |
| 646 | \ |
| 647 | VSTU(JOIN(ppdf_,_idx1), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \ |
| 648 | VSTU(JOIN(ppdf_,_idx2), VADD(VSUB(vpdf_b, vevenPart), voddPart)); |
| 649 | |
| 650 | #define LOOP_2(_dir1, _dir2, _idx1, _idx2, _expr) \ |
| 651 | vui = _expr; \ |
| 652 | vpdf_a = JOIN(vpdf_,_dir1); \ |
| 653 | vpdf_b = JOIN(vpdf_,_dir2); \ |
| 654 | \ |
| 655 | vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_2_nine_half))), vw_2_indep)); \ |
| 656 | voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_2_x3))); \ |
| 657 | \ |
| 658 | VSTU(JOIN(ppdf_,_idx1), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \ |
| 659 | VSTU(JOIN(ppdf_,_idx2), VADD(VSUB(vpdf_b, vevenPart), voddPart)); |
| 660 | |
| 661 | |
| 662 | LOOP_1(N, S, D3Q19_N, D3Q19_S, vuy); |
| 663 | LOOP_1(E, W, D3Q19_E, D3Q19_W, vux); |
| 664 | LOOP_1(T, B, D3Q19_T, D3Q19_B, vuz); |
| 665 | |
| 666 | LOOP_2(NW, SE, D3Q19_NW, D3Q19_SE, VSUB(vuy, vux)); |
| 667 | LOOP_2(NE, SW, D3Q19_NE, D3Q19_SW, VADD(vuy, vux)); |
| 668 | LOOP_2(TW, BE, D3Q19_TW, D3Q19_BE, VSUB(vuz, vux)); |
| 669 | LOOP_2(TE, BW, D3Q19_TE, D3Q19_BW, VADD(vuz, vux)); |
| 670 | LOOP_2(TS, BN, D3Q19_TS, D3Q19_BN, VSUB(vuz, vuy)); |
| 671 | LOOP_2(TN, BS, D3Q19_TN, D3Q19_BS, VADD(vuz, vuy)); |
| 672 | |
| 673 | #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,idx) += VSIZE; |
| 674 | D3Q19_LIST |
| 675 | #undef X |
| 676 | } |
| 677 | |
| 678 | #undef I |
| 679 | |
| 680 | return; |
| 681 | |
| 682 | } // }}} |