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Ring allgather too. Let's nail the Dense CoarseCoarse
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@@ -119,6 +119,7 @@ public:
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deviceVector<ComplexF> dSlab;
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deviceVector<ComplexF> dX; // N x MRHS_MAX
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deviceVector<ComplexF> dY; // nrows x MRHS_MAX
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deviceVector<ComplexF> dG; // N x MRHS_MAX rank-major staging for the allgather (devSum==4)
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deviceVector<ComplexF> dPartial; // NK x (nrows x MRHS_MAX)
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deviceVector<ComplexF*> aptrs; // slab K-chunk pointers (lda = N)
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deviceVector<ComplexF*> xptrs; // X K-chunk pointers (ldb = N)
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@@ -252,9 +253,11 @@ public:
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acceleratorCopyToDevice(&h[0],&cptrs[0],NK*sizeof(ComplexF*));
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devSum = getenv("DENSE_DEVICE_SUM") ? atoi(getenv("DENSE_DEVICE_SUM")) : 0;
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const char *sumName[4] = {"host allreduce","DEVICE-buffer allreduce (GPU-aware MPI)",
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"DEVICE cartesian ring allreduce (P2P)","DEVICE flat ring allreduce (P2P)"};
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GRID_ASSERT(devSum>=0 && devSum<=3);
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const char *sumName[5] = {"host allreduce","DEVICE-buffer allreduce (GPU-aware MPI)",
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"DEVICE cartesian ring allreduce (P2P)","DEVICE flat ring allreduce (P2P)",
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"DEVICE cartesian ring ALLGATHER (P2P, ~8x fewer bytes than the padded allreduce)"};
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GRID_ASSERT(devSum>=0 && devSum<=4);
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if ( devSum==4 ) dG.resize((uint64_t)N*MRHS_MAX);
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std::cout << GridLogMessage << "DenseCoarseMatrix: slab resident on device ("
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<< sbytes/1024./1024. << " MB/rank), split-K NK=" << NK << " (Kc=" << Kc << "); "
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<< sumName[devSum] << std::endl;
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@@ -957,7 +960,34 @@ public:
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int64_t Kc = N / NK;
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double t1 = usecond();
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double t2, t3;
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if (devSum) {
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if (devSum==4) {
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// ALLGATHER: x is not a reduction -- every rank owns rows
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// [me*nrows,(me+1)*nrows) of x and needs all of it. Only MY rows go
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// host->device (nrows x nr, ~15 KB at nr=1), rank-major staged, gathered
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// along the process grid, then scattered into the column-major dX
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// (ld = N) the split-K GEMM reads.
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const int me = grid->ThisRank();
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const uint64_t chunk = (uint64_t)nrows*nr; // my block: [r][i]
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{ GRID_TRACE("DenseH2D");
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std::vector<ComplexF> hG(chunk);
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for(int r=0;r<nr;r++)
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memcpy(&hG[(uint64_t)r*nrows], &hX[(uint64_t)r*N + (uint64_t)me*nrows], nrows*sizeof(ComplexF));
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acceleratorCopyToDevice(&hG[0], &dG[(uint64_t)me*chunk], chunk*sizeof(ComplexF));
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}
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t2 = usecond();
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{ GRID_TRACE("DenseAllgather");
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CartesianRingAllGather(grid, (ComplexF *)&dG[0], chunk);
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// scatter [q][r][i] -> dX[r*N + q*nrows + i]
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ComplexF *g = &dG[0]; ComplexF *x = &dX[0];
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const int64_t nrw = nrows; const int64_t NN = N; const int nrr = nr;
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accelerator_for(idx, (uint64_t)N*nr, 1, {
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int64_t r = idx / NN; int64_t gi = idx - r*NN;
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int64_t q = gi / nrw; int64_t i = gi - q*nrw;
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x[idx] = g[q*(nrw*nrr) + r*nrw + i];
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});
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}
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t3 = usecond();
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} else if (devSum) {
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{ GRID_TRACE("DenseH2D");
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acceleratorCopyToDevice(&hX[0],&dX[0],nX*sizeof(ComplexF));
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}
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@@ -967,6 +997,7 @@ public:
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// above ~8 MB: 12 RHS at N=138240 is 13.3 MB)
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// DENSE_DEVICE_SUM=2 : CartesianRingAllReduce, P2P only, no size cliff
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// DENSE_DEVICE_SUM=3 : flat RingAllReduce, P2P only
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// DENSE_DEVICE_SUM=4 : CartesianRingAllGather (branch above)
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if (devSum==2) CartesianRingAllReduce(grid,(ComplexF *)&dX[0],nX);
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else if (devSum==3) RingAllReduce(grid,(ComplexF *)&dX[0],nX);
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else grid->GlobalSumVector((ComplexF *)&dX[0], (int)nX);
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@@ -116,4 +116,61 @@ void CartesianRingAllReduce(CartesianCommunicator *comm, T *buf, uint64_t n)
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}
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}
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/////////////////////////////////////////////////////////////////////////////
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// Cartesian ring ALLGATHER, point-to-point only.
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//
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// CartesianRingAllGather(comm, buf, chunk)
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// buf holds P*chunk elements of T. On entry rank r's chunk is at
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// buf[r*chunk]; on exit every rank holds all P chunks in RANK order.
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//
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// Dimension by dimension from the fastest-varying process coordinate
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// (dim Nd-1) to the slowest: each stage is a ring over the P_d ranks of that
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// line, after which the held block is the concatenation over that
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// coordinate; because MPI Cartesian ranks are lexicographic with the last
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// coordinate fastest, the final concatenation IS rank order -- no
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// permutation. Bytes sent per rank ~ chunk*(P-1) ... dominated by the last
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// stage, i.e. ~N = P*chunk total: 8x less than a zero-padded
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// CartesianRingAllReduce of the same vector (which reduce-scatters AND
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// gathers along every dimension). Steps: sum_d (P_d-1). Exact (no
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// arithmetic): the result is bitwise the same as the padded allreduce.
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//
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// Written for the dense coarse-coarse apply (every rank owns rows of A^{-1}
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// and needs the whole x), measured 1.86 ms for 4.4 MB at 288 ranks with the
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// allreduce ring -- at wire speed, but moving 35 MB per rank to deliver 4.4.
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/////////////////////////////////////////////////////////////////////////////
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template<class T>
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void CartesianRingAllGather(CartesianCommunicator *comm, T *buf, uint64_t chunk)
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{
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int P = comm->ProcessorCount();
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int me = comm->ThisRank();
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if ( P==1 || chunk==0 ) return;
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int Nd = comm->_ndimension;
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deviceVector<T> work((uint64_t)P*chunk);
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// ping-pong between buf and work; the held block lives at offset `off` in `cur`
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T *cur = buf; uint64_t off = (uint64_t)me*chunk;
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T *oth = &work[0];
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uint64_t blk = chunk; // elements in the held block
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for(int d=Nd-1; d>=0; d--){
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int Pd = comm->_processors[d];
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if ( Pd==1 ) continue;
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int med = comm->_processor_coor[d];
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int next, prev;
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comm->ShiftedRanks(d, 1, prev, next); // (dim, shift, source, dest)
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GRID_ASSERT( (blk*sizeof(T))%4 == 0 );
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// place my block in slot med of the staging area (oth[0 .. Pd*blk))
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acceleratorCopyDeviceToDevice((void *)(cur+off), (void *)(oth+(uint64_t)med*blk), blk*sizeof(T));
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for(int t=1;t<Pd;t++){
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int sendslot = (med - t + 1 + Pd) % Pd;
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int recvslot = (med - t + Pd) % Pd;
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comm->SendToRecvFrom((void *)(oth+(uint64_t)sendslot*blk), next,
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(void *)(oth+(uint64_t)recvslot*blk), prev, blk*sizeof(T));
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}
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// the staging area is the new held block
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T *tmp = cur; cur = oth; oth = tmp; off = 0;
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blk *= Pd;
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}
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GRID_ASSERT( blk == (uint64_t)P*chunk );
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if ( cur != buf ) acceleratorCopyDeviceToDevice((void *)cur, (void *)buf, blk*sizeof(T));
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}
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NAMESPACE_END(Grid);
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@@ -4,7 +4,7 @@
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#SBATCH --ntasks-per-node=8
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#SBATCH --cpus-per-task=7
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#SBATCH --gpus-per-node=8
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#SBATCH --time=1:00:00
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#SBATCH --time=1:45:00
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#SBATCH --account=phy157_dwf
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#SBATCH --gpu-bind=none
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#SBATCH --exclusive
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@@ -89,7 +89,7 @@ export DENSE_CC=1
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export DENSE_APPLY_PROFILE=1
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unset DENSE_CC_CHECK
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export DENSE_SPLITK=128
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export DENSE_DEVICE_SUM=2 # cartesian P2P ring: no 8 MB device-allreduce cliff (NRHS=12 abort)
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export DENSE_DEVICE_SUM=4 # cartesian P2P ring ALLGATHER: ~8x fewer bytes than the padded allreduce (=2); no collectives, no size cliff
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export GRID_ALLOC_NCACHE_LARGE=64
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export NRHS=4
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export PowerIterations=0
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@@ -129,16 +129,19 @@ run_cell () {
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grep -h "SCHUR fp64 distributed invert took\|GB/s/rank" $fname | sed 's/^Grid : Message : [0-9.]* s : //' | cut -c1-120 | head -2
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}
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# name Fso Fss Csn fine coarse
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run_cell L0_overshoot 12 1.0 6 replay gcr # the converged overshoot (M3), now with last-call selection + refresh 5
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run_cell L1_csn2 12 1.0 2 replay gcr # coarse smoother back to the banked 2 steps
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run_cell L2_fso8 8 1.0 2 replay gcr
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run_cell L3_fss05 8 0.5 2 replay gcr
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run_cell L4_banked 6 0.5 2 replay gcr # nearest to the banked adaptive point
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# Coarse replay: same lesson as the fine level -- record a DECENT polynomial
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# first (overshoot: 6-step coarse smoother, shift 2.0) and back off from there.
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run_cell L5_coarse6 8 0.5 6 replay replay # coarse frozen at a 6-step polynomial (overshoot)
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run_cell L6_coarse4 8 0.5 4 replay replay # back off
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# The (order x shift) table at Csn=2, one axis at a time from the overshoot,
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# so a failing cell identifies WHICH knob it needed. Reference: 28.57 s.
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# name Fso Fss Csn fine coarse
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run_cell L0_overshoot 12 1.0 6 replay gcr # M3's point with last-call selection + record 8..16 + refresh 5
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run_cell L1_12_10 12 1.0 2 replay gcr # coarse smoother back to 2 steps; the row/column anchor
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run_cell L2_08_10 8 1.0 2 replay gcr # order axis
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run_cell L3_06_10 6 1.0 2 replay gcr
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run_cell L4_12_05 12 0.5 2 replay gcr # shift axis
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run_cell L5_08_05 8 0.5 2 replay gcr
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run_cell L6_06_05 6 0.5 2 replay gcr # nearest to the banked adaptive point (Fso6/Fss0.1)
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# Coarse replay: record a DECENT polynomial first (6-step, shift 2.0) and back off.
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run_cell L7_coarse6 8 1.0 6 replay replay
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run_cell L8_coarse4 8 1.0 4 replay replay
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echo "========================================================="
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echo "summary"
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@@ -26,6 +26,7 @@ Author: Peter Boyle <pboyle@bnl.gov>
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// T2 cartesian ring == GlobalSumVector, same sweep
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// T3 bitwise repeatable (deterministic order)
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// T4 timing at 16 MB, both rings vs GlobalSumVector
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// T5 CartesianRingAllGather bitwise == padded GlobalSumVector; timing at the dense-apply shape
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//
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// mpirun -n 4 ./Test_ring_allreduce --grid 16.16.16.32 --mpi 1.1.2.2
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// (2D process grid so the cartesian variant exercises more than one ring)
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@@ -101,6 +102,42 @@ int main(int argc, char **argv)
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Check<RealF> ("RealF ", grid, 1.0e-5);
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Check<ComplexF>("ComplexF", grid, 1.0e-5);
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// T5: CartesianRingAllGather == zero-padded GlobalSumVector, BITWISE
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// (no arithmetic in either path for disjoint chunks), all types, chunk
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// sizes including 1 element and non-multiples of anything.
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{
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int P=grid->ProcessorCount(), me=grid->ThisRank();
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for(uint64_t chunk : std::vector<uint64_t>({1,3,64,1000,65537})){
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uint64_t n=chunk*P;
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std::vector<ComplexD> h(n,ComplexD(0.0,0.0)), ref;
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for(uint64_t i=0;i<chunk;i++) h[me*chunk+i]=Fill<ComplexD>(me*chunk+i,me);
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ref=h; grid->GlobalSumVector(&ref[0],(int)n);
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deviceVector<ComplexD> d(n); acceleratorCopyToDevice(&h[0],&d[0],n*sizeof(ComplexD));
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CartesianRingAllGather(grid,&d[0],chunk);
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std::vector<ComplexD> out(n); acceleratorCopyFromDevice(&d[0],&out[0],n*sizeof(ComplexD));
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RealD diff=(memcmp(&out[0],&ref[0],n*sizeof(ComplexD))!=0)?1.0:0.0; grid->GlobalSum(diff);
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Report("T5 CartesianRingAllGather bitwise == padded GlobalSumVector, ComplexD chunk="+std::to_string(chunk), diff==0.0);
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}
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{ uint64_t chunk=1001, n=chunk*P;
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std::vector<ComplexF> h(n,ComplexF(0.0,0.0)), ref;
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for(uint64_t i=0;i<chunk;i++) h[me*chunk+i]=Fill<ComplexF>(me*chunk+i,me);
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ref=h; grid->GlobalSumVector(&ref[0],(int)n);
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deviceVector<ComplexF> d(n); acceleratorCopyToDevice(&h[0],&d[0],n*sizeof(ComplexF));
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CartesianRingAllGather(grid,&d[0],chunk);
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std::vector<ComplexF> out(n); acceleratorCopyFromDevice(&d[0],&out[0],n*sizeof(ComplexF));
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RealD diff=(memcmp(&out[0],&ref[0],n*sizeof(ComplexF))!=0)?1.0:0.0; grid->GlobalSum(diff);
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Report("T5 CartesianRingAllGather bitwise, ComplexF chunk=1001", diff==0.0);
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}
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// timing: the dense-apply shape, N=138240 x 4 rhs of ComplexF, chunk = N*4/P
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{ uint64_t chunk=(uint64_t)138240*4/P, n=chunk*P;
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deviceVector<ComplexF> d(n); std::vector<ComplexF> h(n,ComplexF(1.0,0.0)); acceleratorCopyToDevice(&h[0],&d[0],n*sizeof(ComplexF));
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double t0=usecond(); CartesianRingAllGather(grid,&d[0],chunk); double t1=usecond();
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acceleratorCopyToDevice(&h[0],&d[0],n*sizeof(ComplexF));
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double t2=usecond(); CartesianRingAllReduce(grid,&d[0],n); double t3=usecond();
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std::cout << GridLogMessage << "T5 timing N=138240 x 4 ComplexF (" << n*8/1.0e6 << " MB): allgather " << (t1-t0)/1000. << " ms, cartesian allreduce " << (t3-t2)/1000. << " ms" << std::endl;
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}
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}
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// T4 timing at 16 MB of ComplexF (the dense-apply size at 12 RHS is 13.3 MB)
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{
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uint64_t n = 2*1024*1024;
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