X-Git-Url: http://git.rrze.uni-erlangen.de/gitweb/?p=LbmBenchmarkKernelsPublic.git;a=blobdiff_plain;f=src%2FBenchKernelD3Q19AaVecSl.c;fp=src%2FBenchKernelD3Q19AaVecSl.c;h=885a065c8fbdc8b8c7eec262721b4870d2662eef;hp=0000000000000000000000000000000000000000;hb=0fde6e45e9be83893afae896cf49a799777f6d7c;hpb=712d0b8fc4a382e1cfe4edef8b0ade11b0a2ce25
diff --git a/src/BenchKernelD3Q19AaVecSl.c b/src/BenchKernelD3Q19AaVecSl.c
new file mode 100644
index 0000000..885a065
--- /dev/null
+++ b/src/BenchKernelD3Q19AaVecSl.c
@@ -0,0 +1,682 @@
+// --------------------------------------------------------------------------
+//
+// Copyright
+// Markus Wittmann, 2016-2017
+// RRZE, University of Erlangen-Nuremberg, Germany
+// markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+//
+// Viktor Haag, 2016
+// LSS, University of Erlangen-Nuremberg, Germany
+//
+// This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+//
+// LbmBenchKernels is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// LbmBenchKernels is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with LbmBenchKernels. If not, see .
+//
+// --------------------------------------------------------------------------
+#include "BenchKernelD3Q19AaVecCommon.h"
+
+#include "Memory.h"
+#include "Vtk.h"
+#include "LikwidIf.h"
+#include "Vector.h"
+#include "Vector.h"
+
+#include
+#include
+
+#ifdef _OPENMP
+ #include
+#endif
+
+static void KernelEven(LatticeDesc * ld, KernelData * kd, CaseData * cd);
+static void KernelOddVecSl(LatticeDesc * ld, KernelData * kd, CaseData * cd);
+
+#if 1 // {{{
+void DumpPdfs(LatticeDesc * ld, KernelData * kd, int zStart, int zStop, int iter, const char * prefix, int dir)
+{
+ int * gDims = kd->GlobalDims;
+
+ int nX = gDims[0];
+ int nY = gDims[1];
+ // int nZ = gDims[2];
+
+ PdfT pdfs[N_D3Q19];
+
+ int localZStart = zStart;
+ int localZStop = zStop;
+
+ if (localZStart == -1) localZStart = 0;
+ if (localZStop == -1) localZStop = gDims[2] - 1;
+
+ printf("D iter: %d dir: %d %s\n", iter, dir, D3Q19_NAMES[dir]);
+
+// for (int dir = 0; dir < 19; ++dir) {
+ for (int z = localZStop; z >= localZStart; --z) {
+ printf("D [%2d][%2d][%s] plane % 2d\n", iter, dir, prefix, z);
+
+ for(int y = 0; y < nY; ++y) {
+ // for(int y = 2; y < nY - 2; ++y) {
+ printf("D [%2d][%2d][%s] %2d ", iter, dir, prefix, y);
+
+ for(int x = 0; x < nX; ++x) {
+
+ if (1) { // ld->Lattice[L_INDEX_4(ld->Dims, x, y, z)] != LAT_CELL_OBSTACLE) {
+
+ #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
+ pdfs[dir] = kd->PdfsActive[I(x, y, z, dir)];
+ #undef I
+ }
+ else {
+ pdfs[dir] = -1.0;
+ }
+
+ printf("%.16e ", pdfs[dir]);
+ // printf("%08.0f ", pdfs[dir]);
+ }
+
+ printf("\n");
+ }
+ }
+// }
+}
+#endif // }}}
+
+void FNAME(D3Q19AaVecSlKernel)(LatticeDesc * ld, KernelData * kd, CaseData * cd)
+{
+ Assert(ld != NULL);
+ Assert(kd != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > 0.0);
+ Assert(cd->Omega < 2.0);
+
+ KernelDataAa * kda = KDA(kd);
+
+ PdfT * src = kd->PdfsActive;
+
+ int maxIterations = cd->MaxIterations;
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, -1);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, 0);
+ #endif
+
+ Assert((maxIterations % 2) == 0);
+
+ #ifdef _OPENMP
+ #pragma omp parallel default(none) shared(kda, kd, ld, cd, src, maxIterations)
+ #endif
+ {
+ for (int iter = 0; iter < maxIterations; iter += 2) {
+
+ // --------------------------------------------------------------------
+ // even time step
+ // --------------------------------------------------------------------
+
+ X_LIKWID_START("aa-vec-even");
+
+ KernelEven(ld, kd, cd);
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+
+ X_LIKWID_STOP("aa-vec-even");
+
+ // Fixup bounce back PDFs.
+ #ifdef _OPENMP
+ #pragma omp for
+ #endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
+ for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
+ src[kd->BounceBackPdfsSrc[i]] = src[kd->BounceBackPdfsDst[i]];
+ }
+
+ #ifdef _OPENMP
+ #pragma omp single
+ #endif
+ {
+ // save current iteration
+ kda->Iteration = iter;
+
+ #ifdef VERIFICATION
+ kd->PdfsActive = src;
+ KernelAddBodyForce(kd, ld, cd);
+ #endif
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput && (iter % cd->VtkModulus) == 0) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, iter);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, iter);
+ #endif
+ }
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+
+
+ // --------------------------------------------------------------------
+ // odd time step
+ // --------------------------------------------------------------------
+
+ X_LIKWID_START("aa-vec-odd");
+
+
+ KernelOddVecSl(ld, kd, cd);
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+
+ // Stop counters before bounce back. Else computing loop balance will
+ // be incorrect.
+
+ X_LIKWID_STOP("aa-vec-odd");
+
+ // Fixup bounce back PDFs.
+ #ifdef _OPENMP
+ #pragma omp for
+ #endif
+ #ifdef INTEL_OPT_DIRECTIVES
+ #pragma ivdep
+ #endif
+ for (int i = 0; i < kd->nBounceBackPdfs; ++i) {
+ src[kd->BounceBackPdfsDst[i]] = src[kd->BounceBackPdfsSrc[i]];
+ }
+
+ #ifdef _OPENMP
+ #pragma omp single
+ #endif
+ {
+ // save current iteration
+ kda->Iteration = iter + 1;
+
+ #ifdef VERIFICATION
+ kd->PdfsActive = src;
+ KernelAddBodyForce(kd, ld, cd);
+ #endif
+
+ #ifdef VTK_OUTPUT
+ if (cd->VtkOutput && ((iter + 1) % cd->VtkModulus) == 0) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, iter + 1);
+ }
+ #endif
+
+ #ifdef STATISTICS
+ kd->PdfsActive = src;
+ KernelStatistics(kd, ld, cd, iter + 1);
+ #endif
+ }
+ #ifdef _OPENMP
+ #pragma omp barrier
+ #endif
+ } // for (int iter = 0; ...
+ } // omp parallel
+
+ #ifdef VTK_OUTPUT
+
+ if (cd->VtkOutput) {
+ kd->PdfsActive = src;
+ VtkWrite(ld, kd, cd, maxIterations);
+ }
+
+ #endif
+
+ return;
+}
+
+static void KernelEven(LatticeDesc * ld, KernelData * kd, CaseData * cd) // {{{
+{
+ Assert(ld != NULL);
+ Assert(kd != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > F(0.0));
+ Assert(cd->Omega < F(2.0));
+
+ KernelDataAa * kda = KDA(kd);
+
+ int nX = ld->Dims[0];
+ int nY = ld->Dims[1];
+ int nZ = ld->Dims[2];
+
+ int * gDims = kd->GlobalDims;
+
+ int oX = kd->Offsets[0];
+ int oY = kd->Offsets[1];
+ int oZ = kd->Offsets[2];
+
+ int blk[3];
+ blk[0] = kda->Blk[0];
+ blk[1] = kda->Blk[1];
+ blk[2] = kda->Blk[2];
+
+ PdfT omega = cd->Omega;
+ PdfT omegaEven = omega;
+
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
+
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
+
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
+
+
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
+
+ VPDFT vw_1_indep, vw_2_indep;
+ VPDFT vw_0 = VSET(w_0);
+ VPDFT vw_1 = VSET(w_1);
+ VPDFT vw_2 = VSET(w_2);
+
+ VPDFT vw_1_x3 = VSET(w_1_x3);
+ VPDFT vw_2_x3 = VSET(w_2_x3);
+ VPDFT vw_1_nine_half = VSET(w_1_nine_half);
+ VPDFT vw_2_nine_half = VSET(w_2_nine_half);
+
+ VPDFT vui, vux, vuy, vuz, vdens;
+
+ VPDFT vevenPart, voddPart, vdir_indep_trm;
+
+ VPDFT vomegaEven = VSET(omegaEven);
+ VPDFT vomegaOdd = VSET(omegaOdd);
+
+ VPDFT vpdf_a, vpdf_b;
+
+ // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
+ #define X(name, idx, idxinv, x, y, z) VPDFT JOIN(vpdf_,name); PdfT * JOIN(ppdf_,name);
+ D3Q19_LIST
+ #undef X
+
+ PdfT * src = kd->Pdfs[0];
+
+ int nThreads = 1;
+ int threadId = 0;
+
+ #ifdef _OPENMP
+ nThreads = omp_get_max_threads();
+ threadId = omp_get_thread_num();
+ #endif
+
+ const int nodesPlane = gDims[1] * gDims[2];
+ const int nodesCol = gDims[2];
+
+ #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
+
+// TODO: make inline function out of macros.
+
+ #define IMPLODE(_x, _y, _z) (nodesPlane * (_x) + nodesCol * (_y) + (_z))
+ #define EXPLODE(index, _x, _y, _z) _x = index / (nodesPlane); _y = (index - nodesPlane * (_x)) / nodesCol; _z = index - nodesPlane * (_x) - nodesCol * (_y);
+
+ int startX = oX;
+ int startY = oY;
+ int startZ = oZ;
+
+ int indexStart = IMPLODE(startX, startY, startZ);
+ int indexEnd = IMPLODE(startX + nX - 1, startY + nY - 1, startZ + nZ - 1);
+
+ // How many cells as multiples of VSIZE do we have (rounded up)?
+ int nVCells = (indexEnd - indexStart + 1 + VSIZE - 1) / VSIZE;
+
+ int threadStart = nVCells / nThreads * threadId;
+ int threadEnd = nVCells / nThreads * (threadId + 1);
+
+ if (nVCells % nThreads > threadId) {
+ threadStart += threadId;
+ threadEnd += threadId + 1;
+ }
+ else {
+ threadStart += nVCells % nThreads;
+ threadEnd += nVCells % nThreads;
+ }
+
+ threadStart *= VSIZE;
+ threadEnd *= VSIZE;
+
+ // As threadStart/End is now in the granularity of cells we add the start offset.
+ threadStart += indexStart;
+ threadEnd += indexStart;
+
+ EXPLODE(threadStart, startX, startY, startZ);
+
+ #undef EXPLODE
+ #undef IMPLODE
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) = &src[I(startX, startY, startZ, idx)];
+ D3Q19_LIST
+ #undef X
+
+ // printf("e thread %d idx start: %d end: %d thread start: %d end: %d\n",
+ // threadId, indexStart, indexEnd, threadStart, threadEnd);
+
+
+ for (int i = threadStart; i < threadEnd; i += VSIZE) {
+
+ // Load PDFs of local cell: pdf_N = src[I(x, y, z, D3Q19_N)]; ...
+ // #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(&src[I(x, y, z, idx)]);
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,name));
+ D3Q19_LIST
+ #undef X
+
+
+ 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);
+ 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);
+ 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);
+
+ 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));
+
+ vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF));
+
+ VSTU(ppdf_C, VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm)))));
+
+ vw_1_indep = VMUL(vw_1,vdir_indep_trm);
+ vw_2_indep = VMUL(vw_2,vdir_indep_trm);
+
+#if defined(LOOP_1) || defined(LOOP_2)
+ #error Loop macros are not allowed to be defined here.
+#endif
+
+ #define LOOP_1(_dir1, _dir2, _vel) \
+ vui = _vel; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_1_nine_half))), vw_1_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_1_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_dir2), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_dir1), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+ #define LOOP_2(_dir1, _dir2, _expr) \
+ vui = _expr; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_2_nine_half))), vw_2_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_2_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_dir2), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_dir1), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+ LOOP_1(N, S, vuy);
+ LOOP_1(E, W, vux);
+ LOOP_1(T, B, vuz);
+
+ LOOP_2(NW, SE, VSUB(vuy, vux));
+ LOOP_2(NE, SW, VADD(vuy, vux));
+ LOOP_2(TW, BE, VSUB(vuz, vux));
+ LOOP_2(TE, BW, VADD(vuz, vux));
+ LOOP_2(TS, BN, VSUB(vuz, vuy));
+ LOOP_2(TN, BS, VADD(vuz, vuy));
+
+ #undef LOOP_1
+ #undef LOOP_2
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,name) += VSIZE;
+ D3Q19_LIST
+ #undef X
+ }
+
+ #undef I
+
+ return;
+} // }}}
+
+
+static void KernelOddVecSl(LatticeDesc * ld, KernelData * kd, CaseData * cd) // {{{
+{
+ Assert(ld != NULL);
+ Assert(kd != NULL);
+ Assert(cd != NULL);
+
+ Assert(cd->Omega > 0.0);
+ Assert(cd->Omega < F(2.0));
+
+ KernelDataAa * kda = KDA(kd);
+
+ int nX = ld->Dims[0];
+ int nY = ld->Dims[1];
+ int nZ = ld->Dims[2];
+
+ int * gDims = kd->GlobalDims;
+
+ int oX = kd->Offsets[0];
+ int oY = kd->Offsets[1];
+ int oZ = kd->Offsets[2];
+
+ int blk[3];
+ blk[0] = kda->Blk[0];
+ blk[1] = kda->Blk[1];
+ blk[2] = kda->Blk[2];
+
+ PdfT omega = cd->Omega;
+ PdfT omegaEven = omega;
+
+ PdfT magicParam = F(1.0) / F(12.0);
+ PdfT omegaOdd = F(1.0) / (F(0.5) + magicParam / (F(1.0) / omega - F(0.5)));
+
+ const PdfT w_0 = F(1.0) / F( 3.0);
+ const PdfT w_1 = F(1.0) / F(18.0);
+ const PdfT w_2 = F(1.0) / F(36.0);
+
+ const PdfT w_1_x3 = w_1 * F(3.0); const PdfT w_1_nine_half = w_1 * F(9.0) / F(2.0);
+ const PdfT w_2_x3 = w_2 * F(3.0); const PdfT w_2_nine_half = w_2 * F(9.0) / F(2.0);
+
+ VPDFT VONE_HALF = VSET(F(0.5));
+ VPDFT VTHREE_HALF = VSET(F(3.0) / F(2.0));
+
+ VPDFT vw_1_indep, vw_2_indep;
+ VPDFT vw_0 = VSET(w_0);
+ VPDFT vw_1 = VSET(w_1);
+ VPDFT vw_2 = VSET(w_2);
+
+ VPDFT vw_1_x3 = VSET(w_1_x3);
+ VPDFT vw_2_x3 = VSET(w_2_x3);
+ VPDFT vw_1_nine_half = VSET(w_1_nine_half);
+ VPDFT vw_2_nine_half = VSET(w_2_nine_half);
+
+ VPDFT vui, vux, vuy, vuz, vdens;
+
+ VPDFT vevenPart, voddPart, vdir_indep_trm;
+
+ VPDFT vomegaEven = VSET(omegaEven);
+ VPDFT vomegaOdd = VSET(omegaOdd);
+
+ VPDFT vpdf_a, vpdf_b;
+
+ // Declare pdf_N, pdf_E, pdf_S, pdf_W, ...
+ #define X(name, idx, idxinv, x, y, z) VPDFT JOIN(vpdf_,name); PdfT * JOIN(ppdf_,idx);
+ D3Q19_LIST
+ #undef X
+
+ PdfT * src = kd->Pdfs[0];
+
+ int nThreads = 1;
+ int threadId = 0;
+
+ #ifdef _OPENMP
+ nThreads = omp_get_max_threads();
+ threadId = omp_get_thread_num();
+ #endif
+
+ const int nodesPlane = gDims[1] * gDims[2];
+ const int nodesCol = gDims[2];
+
+ #define I(x, y, z, dir) P_INDEX_5(gDims, (x), (y), (z), (dir))
+
+// TODO: make inline function out of macros.
+
+ #define IMPLODE(_x, _y, _z) (nodesPlane * (_x) + nodesCol * (_y) + (_z))
+ #define EXPLODE(index, _x, _y, _z) _x = index / (nodesPlane); _y = (index - nodesPlane * (_x)) / nodesCol; _z = index - nodesPlane * (_x) - nodesCol * (_y);
+
+ int startX = oX;
+ int startY = oY;
+ int startZ = oZ;
+
+ int indexStart = IMPLODE(startX, startY, startZ);
+ int indexEnd = IMPLODE(startX + nX - 1, startY + nY - 1, startZ + nZ - 1);
+
+ // How many multiples of VSIZE cells (rounded up) do we have?
+ int nVCells = (indexEnd - indexStart + 1 + VSIZE - 1) / VSIZE;
+
+ int threadStart = nVCells / nThreads * threadId;
+ int threadEnd = nVCells / nThreads * (threadId + 1);
+
+ if (nVCells % nThreads > threadId) {
+ threadStart += threadId;
+ threadEnd += threadId + 1;
+ }
+ else {
+ threadStart += nVCells % nThreads;
+ threadEnd += nVCells % nThreads;
+ }
+
+ threadStart *= VSIZE;
+ threadEnd *= VSIZE;
+
+ // As threadStart/End is now in the granularity of cells we add the start offset.
+ threadStart += indexStart;
+ threadEnd += indexStart;
+
+ EXPLODE(threadStart, startX, startY, startZ);
+
+ #undef EXPLODE
+ #undef IMPLODE
+
+ // printf("o thread %d idx start: %d end: %d thread start: %d end: %d\n",
+ // threadId, indexStart, indexEnd, threadStart, threadEnd);
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,idx) = &src[I(startX + _x, startY + _y, startZ + _z, idx)];
+ D3Q19_LIST
+ #undef X
+
+#if DEBUG_EXTENDED
+
+ #define X(name, idx, idxinv, x, y, z) PdfT * JOIN(ppdf_start_,idx), * JOIN(ppdf_end_,idx);
+ D3Q19_LIST
+ #undef X
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_start_,idx) = &src[I(startX + _x, startY + _y, startZ + _z, idx)];
+ D3Q19_LIST
+ #undef X
+
+ #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)];
+ D3Q19_LIST
+ #undef X
+
+#if 0
+ #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), \
+startX , startY , startZ , startX + _x, startY + _y, startZ + _z);
+ D3Q19_LIST
+ #undef X
+#endif
+
+#endif // DEBUG_EXTENDED
+
+
+ for (int i = threadStart; i < threadEnd; i += VSIZE) {
+
+#if DEBUG_EXTENDED
+ #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)));
+ D3Q19_LIST
+ #undef X
+#endif
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(vpdf_,name) = VLDU(JOIN(ppdf_,idxinv));
+ D3Q19_LIST
+ #undef X
+
+ 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);
+ 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);
+ 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);
+
+ 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));
+
+ vdir_indep_trm = VSUB(vdens,VMUL(VADD(VADD(VMUL(vux,vux),VMUL(vuy,vuy)),VMUL(vuz,vuz)),VTHREE_HALF));
+
+ // ppdf_18 is the pointer to the center pdfs.
+ VSTU(ppdf_18, VSUB(vpdf_C,VMUL(vomegaEven,VSUB(vpdf_C,VMUL(vw_0,vdir_indep_trm)))));
+
+ vw_1_indep = VMUL(vw_1,vdir_indep_trm);
+ vw_2_indep = VMUL(vw_2,vdir_indep_trm);
+
+#if defined(LOOP_1) || defined(LOOP_2)
+ #error Loop macros are not allowed to be defined here.
+#endif
+
+ #define LOOP_1(_dir1, _dir2, _idx1, _idx2, _vel) \
+ vui = _vel; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_1_nine_half))), vw_1_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_1_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_idx1), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_idx2), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+ #define LOOP_2(_dir1, _dir2, _idx1, _idx2, _expr) \
+ vui = _expr; \
+ vpdf_a = JOIN(vpdf_,_dir1); \
+ vpdf_b = JOIN(vpdf_,_dir2); \
+ \
+ vevenPart = VMUL(vomegaEven, VSUB(VSUB(VMUL(VONE_HALF, VADD(vpdf_a, vpdf_b)), VMUL(vui, VMUL(vui, vw_2_nine_half))), vw_2_indep)); \
+ voddPart = VMUL(vomegaOdd, VSUB( VMUL(VONE_HALF, VSUB(vpdf_a, vpdf_b)), VMUL(vui, vw_2_x3))); \
+ \
+ VSTU(JOIN(ppdf_,_idx1), VSUB(VSUB(vpdf_a, vevenPart), voddPart)); \
+ VSTU(JOIN(ppdf_,_idx2), VADD(VSUB(vpdf_b, vevenPart), voddPart));
+
+
+ LOOP_1(N, S, D3Q19_N, D3Q19_S, vuy);
+ LOOP_1(E, W, D3Q19_E, D3Q19_W, vux);
+ LOOP_1(T, B, D3Q19_T, D3Q19_B, vuz);
+
+ LOOP_2(NW, SE, D3Q19_NW, D3Q19_SE, VSUB(vuy, vux));
+ LOOP_2(NE, SW, D3Q19_NE, D3Q19_SW, VADD(vuy, vux));
+ LOOP_2(TW, BE, D3Q19_TW, D3Q19_BE, VSUB(vuz, vux));
+ LOOP_2(TE, BW, D3Q19_TE, D3Q19_BW, VADD(vuz, vux));
+ LOOP_2(TS, BN, D3Q19_TS, D3Q19_BN, VSUB(vuz, vuy));
+ LOOP_2(TN, BS, D3Q19_TN, D3Q19_BS, VADD(vuz, vuy));
+
+ #define X(name, idx, idxinv, _x, _y, _z) JOIN(ppdf_,idx) += VSIZE;
+ D3Q19_LIST
+ #undef X
+ }
+
+ #undef I
+
+ return;
+
+} // }}}