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					@ -79,7 +79,8 @@ static const gt::gtensor<double, 1> stencil5 = {1.0 / 12.0, -2.0 / 3.0, 0.0,
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					 *
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					 * Size of the result will be size of z with minus 4 in second dimension.
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					 */
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					inline auto stencil2d_1d_5(const gt::gtensor_device<double, 2>& z,
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					template <typename S>
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					inline auto stencil2d_1d_5_d0(const gt::ext::gtensor2<double, 2, S>& z,
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					                           const gt::gtensor<double, 1>& stencil)
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					{
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					  return stencil(0) * z.view(_s(0, -4), _all) +
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					@ -89,6 +90,23 @@ inline auto stencil2d_1d_5(const gt::gtensor_device<double, 2>& z,
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					         stencil(4) * z.view(_s(4, _), _all);
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					}
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					/*
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					 * Return unevaluated expression that calculates the 1d stencil in the
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					 * second dimension of a 2d array.
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					 *
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					 * Size of the result will be size of z with minus 4 in second dimension.
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					 */
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					template <typename S>
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					inline auto stencil2d_1d_5_d1(const gt::ext::gtensor2<double, 2, S>& z,
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					                           const gt::gtensor<double, 1>& stencil)
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					{
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					  return stencil(0) * z.view(_all, _s(0, -4)) +
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					         stencil(1) * z.view(_all, _s(1, -3)) +
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					         stencil(2) * z.view(_all, _s(2, -2)) +
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					         stencil(3) * z.view(_all, _s(3, -1)) +
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					         stencil(4) * z.view(_all, _s(4, _));
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					}
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					void set_rank_device(int n_ranks, int rank)
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					{
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					  int n_devices, device, ranks_per_device;
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					@ -113,8 +131,9 @@ void set_rank_device(int n_ranks, int rank)
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					}
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					// exchange in first dimension, staging into contiguous buffers on device
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					template <typename S>
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					void boundary_exchange_x(MPI_Comm comm, int world_size, int rank,
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					                         gt::gtensor_device<double, 2>& d_z, int n_bnd,
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					                         gt::ext::gtensor2<double, 2, S>& d_z, int n_bnd,
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					                         bool stage_host = false)
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					{
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					  auto buf_shape = gt::shape(n_bnd, d_z.shape(1));
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					@ -233,102 +252,246 @@ void boundary_exchange_x(MPI_Comm comm, int world_size, int rank,
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					  gt::synchronize();
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					}
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					int main(int argc, char** argv)
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					// exchange in second dimension, optional staging into device buffer
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					template <typename S>
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					void boundary_exchange_y(MPI_Comm comm, int world_size, int rank,
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					                         gt::ext::gtensor2<double, 2, S>& d_z, int n_bnd,
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					                         bool stage_device)
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					{
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					  // Note: domain will be n_global x n_global plus ghost points in one dimension
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					  int n_global = 8 * 1024;
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					  bool stage_host = false;
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					  int n_iter = 100;
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					  int n_warmup = 5;
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					  gt::shape_type<2> buf_shape;
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					  if (stage_device) {
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					    buf_shape = gt::shape(d_z.shape(0), n_bnd);
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					  } else {
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					    buf_shape = {0, 0};
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					  }
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					  if (argc > 1) {
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					    n_global = std::atoi(argv[1]) * 1024;
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					  gt::gtensor_device<double, 2> sbuf_l(buf_shape);
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					  gt::gtensor_device<double, 2> sbuf_r(buf_shape);
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					  gt::gtensor_device<double, 2> rbuf_r(buf_shape);
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					  gt::gtensor_device<double, 2> rbuf_l(buf_shape);
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					  MPI_Request req_l[2];
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					  MPI_Request req_r[2];
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					  int rank_l = (rank - 1) % world_size;
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					  int rank_r = (rank + 1) % world_size;
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					  auto sv_l = gt::view_strided(d_z, _all, _s(n_bnd, 2 * n_bnd));
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					  auto sv_r = gt::view_strided(d_z, _all, _s(-2 * n_bnd, -n_bnd));
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					  auto rv_l = gt::view_strided(d_z, _all, _s(0, n_bnd));
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					  auto rv_r = gt::view_strided(d_z, _all, _s(-n_bnd, _));
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					  // start async copy of ghost points into send buffers
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					  if (rank_l >= 0) {
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					    if (stage_device) {
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					      sbuf_l = sv_l;
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					    }
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					  }
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					  if (argc > 2) {
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					    if (argv[2][0] == '1') {
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					      stage_host = true;
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					  if (rank_r <= world_size) {
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					    if (stage_device) {
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					      sbuf_r = sv_r;
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					    }
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					  }
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					  if (argc > 3) {
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					    n_iter = std::atoi(argv[3]);
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					  // initiate async recv
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					  if (rank_l >= 0) {
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					    double* rbuf_l_data = nullptr;
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					    if (stage_device) {
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					      rbuf_l_data = rbuf_l.data().get();
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					    } else {
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					      rbuf_l_data = rv_l.data().get();
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					    }
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					    CHECK(MPI_Irecv(rbuf_l_data, rbuf_l.size(), MPI_DOUBLE, rank_l, 123, comm,
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					                    &req_l[0]));
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					  }
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					  int n_sten = 5;
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					  int n_bnd = (n_sten - 1) / 2;
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					  int world_size, world_rank, device_id;
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					  uint32_t vendor_id;
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					  if (rank_r < world_size) {
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					    double* rbuf_r_data = nullptr;
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					    if (stage_device) {
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					      rbuf_r_data = rbuf_r.data().get();
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					    } else {
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					      rbuf_r_data = rv_r.data().get();
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					    }
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					    CHECK(MPI_Irecv(rbuf_r_data, rbuf_r.size(), MPI_DOUBLE, rank_r, 456, comm,
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					                    &req_r[0]));
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					  }
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					  CHECK(MPI_Init(NULL, NULL));
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					  // wait for send buffer fill
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					  gt::synchronize();
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					  CHECK(MPI_Comm_size(MPI_COMM_WORLD, &world_size));
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					  CHECK(MPI_Comm_rank(MPI_COMM_WORLD, &world_rank));
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					  // initiate async sends
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					  if (rank_l >= 0) {
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					    double* sbuf_l_data = nullptr;
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					    if (stage_device) {
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					      sbuf_l_data = sbuf_l.data().get();
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					    } else {
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					      sbuf_l_data = sv_l.data().get();
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					    }
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					    CHECK(MPI_Isend(sbuf_l_data, sbuf_l.size(), MPI_DOUBLE, rank_l, 456, comm,
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					                    &req_l[1]));
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					  }
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					  if (n_global % world_size != 0) {
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					    printf("%d nmpi (%d) must be divisor of domain size (%d), exiting\n",
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					           world_rank, world_size, n_global);
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					    exit(1);
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					  if (rank_r < world_size) {
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					    double* sbuf_r_data = nullptr;
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					    if (stage_device) {
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					      sbuf_r_data = sbuf_r.data().get();
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					    } else {
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					      sbuf_r_data = sv_r.data().get();
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					    }
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					    CHECK(MPI_Isend(sbuf_r_data, sbuf_r.size(), MPI_DOUBLE, rank_r, 123, comm,
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					                    &req_r[1]));
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					  }
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					  // wait for send/recv to complete, then copy data back into main data array
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					  int mpi_rval;
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					  if (rank_l >= 0) {
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					    MPI_Status status[2];
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					    mpi_rval = MPI_Waitall(2, req_l, status);
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					    if (mpi_rval != MPI_SUCCESS) {
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					      printf("send_l error: %d (%d %d)\n", mpi_rval, status[0].MPI_ERROR,
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					             status[1].MPI_ERROR);
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					    }
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					    if (stage_device) {
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					      gt::copy(rbuf_l, rv_l);
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					    }
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					  }
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					  if (rank_r < world_size) {
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					    MPI_Status status[2];
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					    mpi_rval = MPI_Waitall(2, req_r, status);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    if (mpi_rval != MPI_SUCCESS) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      printf("send_r error: %d (%d %d)\n", mpi_rval, status[0].MPI_ERROR,
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					             status[1].MPI_ERROR);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    if (stage_device) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      gt::copy(rbuf_r, rv_r);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  gt::synchronize();
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					}
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					template <int Dim, typename S>
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					void print_test_name(bool use_buffers)
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					{
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if constexpr (std::is_same<S, gt::space::device>::value) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("=== TEST dim:%d, device , buf:%d\n", Dim, use_buffers);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  } else {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("=== TEST dim:%d, managed, buf:%d\n", Dim, use_buffers);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					}
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					template <typename S, int Dim>
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					void test(int device_id, uint32_t vendor_id, int world_size, int world_rank,
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          int n_global, int n_iter, bool use_buffers, int n_warmup=5)
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					{
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  // Note: domain will be n_global x n_global plus ghost points in one dimension
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  int n_sten = 5;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  int n_bnd = (n_sten - 1) / 2;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  const int n_local = n_global / world_size;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  const int n_local_with_ghost = n_local + 2 * n_bnd;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  set_rank_device(world_size, world_rank);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  device_id = gt::backend::clib::device_get();
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  vendor_id = gt::backend::clib::device_get_vendor_id(device_id);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  int nx_local, ny_local;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  int nx_local_ghost, ny_local_ghost;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  int nx_bnd, ny_bnd;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if constexpr (Dim == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    nx_bnd = n_bnd;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    ny_bnd = 0;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    nx_local = n_local;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    nx_local_ghost = n_local + 2 * n_bnd;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    ny_local = n_global;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    ny_local_ghost = n_global;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  } else {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    nx_bnd = 0;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    ny_bnd = n_bnd;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    nx_local = n_global;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    nx_local_ghost = n_global;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    ny_local = n_local;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    ny_local_ghost = n_local + 2 * n_bnd;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if (world_rank == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("n procs    = %d\n", world_size);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("n_global   = %d\n", n_global);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("n_local    = %d\n", n_local);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("n_iter     = %d\n", n_iter);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("n_warmup   = %d\n", n_warmup);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    printf("stage_host = %d\n", stage_host);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    print_test_name<Dim, S>(use_buffers);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto h_z = gt::empty<double>({n_local_with_ghost, n_global});
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto d_z = gt::empty_device<double>({n_local_with_ghost, n_global});
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  gt::shape_type<2> z_shape(nx_local_ghost, ny_local_ghost);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  gt::shape_type<2> dz_shape(nx_local, ny_local);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto h_dzdx_numeric = gt::empty<double>({n_local, n_global});
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto h_dzdx_actual = gt::empty<double>({n_local, n_global});
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto d_dzdx_numeric = gt::empty_device<double>({n_local, n_global});
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto h_z = gt::empty<double>(z_shape);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  gt::ext::gtensor2<double, 2, S> d_z(z_shape);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double lx = 8;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double dx = lx / n_global;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double lx_local = lx / world_size;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double scale = n_global / lx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto h_dz_numeric = gt::empty<double>(dz_shape);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto h_dz_actual = gt::empty<double>(dz_shape);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  gt::ext::gtensor2<double, 2, S> d_dz_numeric(dz_shape);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double ln = 8;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double delta = ln / n_global;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double ln_local = ln / world_size;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double scale = n_global / ln;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto fn = [](double x, double y) { return x * x * x + y * y; };
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto fn_dzdx = [](double x, double y) { return 3 * x * x; };
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  auto fn_dzdy = [](double x, double y) { return 2 * y; };
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  struct timespec start, end;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double iter_time = 0.0;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double total_time = 0.0;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double x_start = world_rank * lx_local;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  for (int j = 0; j < n_global; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    double ytmp = j * dx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    for (int i = 0; i < n_local; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      double xtmp = x_start + i * dx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      h_z(i + n_bnd, j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      h_dzdx_actual(i, j) = fn_dzdx(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  double x_start=0, y_start=0;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if constexpr (Dim == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    x_start = world_rank * ln_local;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  } else {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    y_start = world_rank * ln_local;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  for (int j = 0; j < ny_local; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    double ytmp = y_start + j * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    for (int i = 0; i < nx_local; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      double xtmp = x_start + i * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      h_z(i + nx_bnd, j + ny_bnd) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      if constexpr (Dim == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        h_dz_actual(i, j) = fn_dzdx(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      } else {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        h_dz_actual(i, j) = fn_dzdy(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  // fill boundary points on ends
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if (world_rank == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    for (int j = 0; j < n_global; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      double ytmp = j * dx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      for (int i = 0; i < n_bnd; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        double xtmp = (i - n_bnd) * dx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        h_z(i, j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if constexpr (Dim == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    if (world_rank == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      for (int j = 0; j < ny_local; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        double ytmp = j * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        for (int i = 0; i < nx_bnd; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          double xtmp = (i - nx_bnd) * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          h_z(i, j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  if (world_rank == world_size - 1) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    for (int j = 0; j < n_global; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      double ytmp = j * dx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      for (int i = 0; i < n_bnd; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        double xtmp = lx + i * dx;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        h_z(n_bnd + n_local + i, j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    if (world_rank == world_size - 1) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      for (int j = 0; j < ny_local; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        double ytmp = j * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        for (int i = 0; i < nx_bnd; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          double xtmp = ln + i * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          h_z(nx_bnd + nx_local + i, j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  } else {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    if (world_rank == 0) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      for (int j = 0; j < ny_bnd; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        double ytmp = (j - ny_bnd) * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        for (int i = 0; i < nx_local; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          double xtmp = i * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          h_z(i, j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    if (world_rank == world_size - 1) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      for (int j = 0; j < ny_bnd; j++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        double ytmp = ln + j * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        for (int i = 0; i < nx_local; i++) {
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          double xtmp = i * delta;
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					          h_z(i, ny_bnd + ny_local + j) = fn(xtmp, ytmp);
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					        }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					      }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					    }
 | 
				
			
			
		
	
		
			
				
					 | 
					 | 
				
				 | 
				 | 
				
					  }
 | 
				
			
			
		
	
	
		
			
				
					| 
						
						
						
							
								
							
						
					 | 
				
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					@ -347,8 +510,13 @@ int main(int argc, char** argv)
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					  for (int i = 0; i < n_warmup + n_iter; i++) {
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					    clock_gettime(CLOCK_MONOTONIC, &start);
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					    boundary_exchange_x(MPI_COMM_WORLD, world_size, world_rank, d_z, n_bnd,
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					                        stage_host);
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					    if constexpr (Dim == 0) {
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					      boundary_exchange_x<S>(MPI_COMM_WORLD, world_size, world_rank, d_z, n_bnd,
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					                             use_buffers);
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					    } else {
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					      boundary_exchange_y<S>(MPI_COMM_WORLD, world_size, world_rank, d_z, n_bnd,
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					                             use_buffers);
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					    }
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					    clock_gettime(CLOCK_MONOTONIC, &end);
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					    iter_time =
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					      ((end.tv_sec - start.tv_sec) + (end.tv_nsec - start.tv_nsec) * 1.0e-9);
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					@ -358,13 +526,17 @@ int main(int argc, char** argv)
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					    }
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					    // do some calculation, to try to more closely simulate what happens in GENE
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					    d_dzdx_numeric = stencil2d_1d_5(d_z, stencil5) * scale;
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					    if constexpr (Dim == 0) {
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					      d_dz_numeric = stencil2d_1d_5_d0<S>(d_z, stencil5) * scale;
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					    } else {
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					      d_dz_numeric = stencil2d_1d_5_d1<S>(d_z, stencil5) * scale;
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					    }
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					    gt::synchronize();
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					  }
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					  printf("%d/%d exchange time %0.8f ms\n", world_rank, world_size,
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					         total_time / n_iter * 1000);
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					  gt::copy(d_dzdx_numeric, h_dzdx_numeric);
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					  gt::copy(d_dz_numeric, h_dz_numeric);
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					  /*
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					  for (int i = 0; i < 5; i++) {
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					@ -378,11 +550,75 @@ int main(int argc, char** argv)
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					  }
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					  */
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					  double err_norm = std::sqrt(gt::sum_squares(h_dzdx_numeric - h_dzdx_actual));
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					  double err_norm = std::sqrt(gt::sum_squares(h_dz_numeric - h_dz_actual));
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					  printf("%d/%d [%d:0x%08x] err_norm = %.8f\n", world_rank, world_size,
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					         device_id, vendor_id, err_norm);
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					}
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					int main(int argc, char** argv)
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					{
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					  using S = gt::space::managed;
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					  // Note: domain will be n_global x n_global plus ghost points in one dimension
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					  int n_global = 8 * 1024;
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					  int n_iter = 100;
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					  int n_warmup = 5;
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					  if (argc > 1) {
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					    n_global = std::atoi(argv[1]) * 1024;
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					  }
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					  if (argc > 2) {
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					    n_iter = std::atoi(argv[2]);
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					  }
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					  int world_size, world_rank, device_id;
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					  uint32_t vendor_id;
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					  CHECK(MPI_Init(NULL, NULL));
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					  CHECK(MPI_Comm_size(MPI_COMM_WORLD, &world_size));
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					  CHECK(MPI_Comm_rank(MPI_COMM_WORLD, &world_rank));
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					  if (n_global % world_size != 0) {
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					    printf("%d nmpi (%d) must be divisor of domain size (%d), exiting\n",
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					           world_rank, world_size, n_global);
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					    exit(1);
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					  }
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					  const int n_local = n_global / world_size;
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					  set_rank_device(world_size, world_rank);
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					  device_id = gt::backend::clib::device_get();
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					  vendor_id = gt::backend::clib::device_get_vendor_id(device_id);
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					  if (world_rank == 0) {
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					    printf("n procs    = %d\n", world_size);
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					    printf("n_global   = %d\n", n_global);
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					    printf("n_local    = %d\n", n_local);
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					    printf("n_iter     = %d\n", n_iter);
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					    printf("n_warmup   = %d\n", n_warmup);
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					  }
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					  fflush(stdout);
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					/*
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					  test<gt::space::device, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, true, 5);
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					  test<gt::space::device, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, false, 5);
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					  test<gt::space::managed, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, true, 5);
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					  test<gt::space::managed, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, false, 5);
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					  test<gt::space::device, 1>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, true, 5);
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					  test<gt::space::device, 1>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, false, 5);
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					  test<gt::space::managed, 1>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, true, 5);
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					  test<gt::space::managed, 1>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, false, 5);
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					  */
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					  test<gt::space::managed, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, true, 5);
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					  test<gt::space::managed, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, false, 5);
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					  test<gt::space::device, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, true, 5);
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					  test<gt::space::device, 0>(device_id, vendor_id, world_size, world_rank, n_global, n_iter, false, 5);
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					  MPI_Finalize();
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					  return EXIT_SUCCESS;
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