[1] | 1 | MODULE poisfft_hybrid_mod |
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| 2 | !------------------------------------------------------------------------------ |
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| 3 | ! |
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| 4 | ! Actual revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Log: poisfft_hybrid.f90,v $ |
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| 11 | ! Revision 1.11 2004/04/30 12:43:14 raasch |
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| 12 | ! Renaming of fft routines, additional argument in calls of fft_y_m |
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| 13 | ! |
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| 14 | ! Revision 1.10 2003/08/01 08:49:30 raasch |
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| 15 | ! Error removed: reqa=req after calling routine MPI_IRECV (cascade) |
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| 16 | ! |
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| 17 | ! Revision 1.9 2003/05/09 14:50:47 raasch |
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| 18 | ! Parameters in calls of MPI_ALLTOALL, MPI_WAITALL changed in order to fulfill |
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| 19 | ! f95 type and rank requirements |
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| 20 | ! |
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| 21 | ! Revision 1.8 2003/03/16 11:17:04 raasch |
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| 22 | ! +module pegrid in poisfft_hybrid_ini |
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| 23 | ! |
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| 24 | ! Revision 1.7 2003/03/16 09:45:52 raasch |
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| 25 | ! Two underscores (_) are placed in front of all define-strings |
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| 26 | ! |
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| 27 | ! Revision 1.6 2003/03/16 09:11:42 raasch |
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| 28 | ! Fortran error removed |
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| 29 | ! |
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| 30 | ! Revision 1.5 2003/03/14 13:45:53 raasch |
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| 31 | ! Loop optimization in maketri_hybrid |
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| 32 | ! |
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| 33 | ! Revision 1.4 2003/03/12 16:37:22 raasch |
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| 34 | ! Vectorized version (poisfft_hybrid_omp_vec) added, arguments ar and tri |
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| 35 | ! passed to routine substi_hybrid (otherwise no vectorization and very |
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| 36 | ! bad performance on NEC), reading of environment variable tasks_per_node |
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| 37 | ! moved to routine parin |
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| 38 | ! |
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| 39 | ! Revision 1.3 2002/12/20 15:18:02 raasch |
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| 40 | ! Variable statement restricted for parallel environment in subroutine |
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| 41 | ! cascade |
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| 42 | ! |
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| 43 | ! Revision 1.2 2002/12/19 16:08:31 raasch |
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| 44 | ! Preprocessor directive KKMP introduced (OMP does NOT work), |
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| 45 | ! array tri will be a shared array in OpenMP loop, to get better cache |
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| 46 | ! utilization, the i index (x-direction) will be executed in stride |
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| 47 | ! "istride" as outer loop and in a shorter inner loop, |
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| 48 | ! overlapping of computation and communication realized by new routine |
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| 49 | ! poisfft_hybrid_nodes, name of old routine poisfft_hybrid changed to |
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| 50 | ! poisfft_hybrid_omp, STOP statement replaced by call of subroutine local_stop |
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| 51 | ! |
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| 52 | ! |
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| 53 | ! Description: |
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| 54 | ! ------------ |
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| 55 | ! Solution of the Poisson equation with a 2D spectral method. |
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| 56 | ! Hybrid version for parallel computers using a 1D domain decomposition, |
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| 57 | ! realized with MPI, along x and parallelization with OPEN-MP along y |
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| 58 | ! (routine poisfft_hybrid_omp). In a second version (poisfft_hybrid_nodes), |
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| 59 | ! optimization is realized by overlapping of computation and communication |
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| 60 | ! and by simultaneously executing as many communication calls as switches |
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| 61 | ! per logical partition (LPAR) are available. This version comes into |
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| 62 | ! effect if more than one node is used and if the environment variable |
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| 63 | ! tasks_per_node is set in a way that it can be devided by switch_per_lpar |
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| 64 | ! without any rest. |
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| 65 | ! |
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| 66 | ! WARNING: In case of OpenMP, there are problems with allocating large |
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| 67 | ! arrays in parallel regions. |
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| 68 | ! |
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| 69 | ! Copyright Klaus Ketelsen / Siegfried Raasch May 2002 |
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| 70 | !------------------------------------------------------------------------------! |
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| 71 | |
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| 72 | USE fft_xy |
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| 73 | USE indices |
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| 74 | USE pegrid |
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| 75 | |
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| 76 | IMPLICIT NONE |
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| 77 | |
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| 78 | PRIVATE |
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| 79 | PUBLIC poisfft_hybrid, poisfft_hybrid_ini |
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| 80 | |
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| 81 | INTEGER, PARAMETER :: switch_per_lpar = 2 |
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| 82 | |
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| 83 | INTEGER, SAVE :: nxl_a, nxr_a, & ! total x dimension |
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| 84 | nxl_p, nxr_p, & ! partial x dimension |
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| 85 | nys_a, nyn_a, & ! total y dimension |
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| 86 | nys_p, nyn_p, & ! partial y dimension |
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| 87 | |
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| 88 | npe_s, & ! total number of PEs for solver |
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| 89 | nwords, & ! number of points to be exchanged |
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| 90 | ! with MPI_ALLTOALL |
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| 91 | n_omp_threads ! number of OpenMP threads |
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| 92 | |
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| 93 | ! |
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| 94 | !-- Variables for multi node version (cluster version) using routine |
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| 95 | !-- poisfft_hybrid_nodes |
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| 96 | INTEGER, SAVE :: comm_nodes, & ! communicater nodes |
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| 97 | comm_node_all, & ! communicater all PEs node version |
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| 98 | comm_tasks, & ! communicater tasks |
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| 99 | me, me_node, me_task,& ! identity of this PE |
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| 100 | nodes, & ! number of nodes |
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| 101 | tasks_per_logical_node = -1 ! default no cluster |
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| 102 | |
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| 103 | |
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| 104 | ! |
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| 105 | !-- Public interfaces |
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| 106 | INTERFACE poisfft_hybrid_ini |
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| 107 | MODULE PROCEDURE poisfft_hybrid_ini |
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| 108 | END INTERFACE poisfft_hybrid_ini |
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| 109 | |
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| 110 | INTERFACE poisfft_hybrid |
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| 111 | MODULE PROCEDURE poisfft_hybrid |
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| 112 | END INTERFACE poisfft_hybrid |
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| 113 | |
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| 114 | ! |
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| 115 | !-- Private interfaces |
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| 116 | INTERFACE poisfft_hybrid_omp |
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| 117 | MODULE PROCEDURE poisfft_hybrid_omp |
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| 118 | END INTERFACE poisfft_hybrid_omp |
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| 119 | |
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| 120 | INTERFACE poisfft_hybrid_omp_vec |
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| 121 | MODULE PROCEDURE poisfft_hybrid_omp_vec |
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| 122 | END INTERFACE poisfft_hybrid_omp_vec |
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| 123 | |
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| 124 | INTERFACE poisfft_hybrid_nodes |
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| 125 | MODULE PROCEDURE poisfft_hybrid_nodes |
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| 126 | END INTERFACE poisfft_hybrid_nodes |
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| 127 | |
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| 128 | INTERFACE tridia_hybrid |
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| 129 | MODULE PROCEDURE tridia_hybrid |
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| 130 | END INTERFACE tridia_hybrid |
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| 131 | |
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| 132 | INTERFACE cascade |
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| 133 | MODULE PROCEDURE cascade |
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| 134 | END INTERFACE cascade |
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| 135 | |
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| 136 | CONTAINS |
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| 137 | |
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| 138 | |
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| 139 | SUBROUTINE poisfft_hybrid_ini |
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| 140 | |
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| 141 | USE control_parameters |
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| 142 | USE pegrid |
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| 143 | |
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| 144 | IMPLICIT NONE |
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| 145 | |
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| 146 | CHARACTER(LEN=8) :: cdummy |
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| 147 | INTEGER :: idummy, istat |
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| 148 | INTEGER, DIMENSION(2) :: coords, dims |
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| 149 | |
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| 150 | LOGICAL, DIMENSION(2) :: period = .false., re_dims |
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| 151 | |
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| 152 | |
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| 153 | ! |
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| 154 | !-- Set the internal index values for the hybrid solver |
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| 155 | #if defined( __parallel ) |
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| 156 | npe_s = pdims(1) |
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| 157 | #else |
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| 158 | npe_s = 1 |
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| 159 | #endif |
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| 160 | nxl_a = 0 |
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| 161 | nxr_a = nx |
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| 162 | nxl_p = 0 |
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| 163 | nxr_p = ( ( nx+1 ) / npe_s ) - 1 |
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| 164 | nys_a = nys |
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| 165 | nyn_a = nyn |
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| 166 | nys_p = 0 |
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| 167 | nyn_p = ( ( ny+1 ) / npe_s ) - 1 |
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| 168 | |
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| 169 | nwords = ( nxr_p-nxl_p+1 ) * nz * ( nyn_p-nys_p+1 ) |
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| 170 | |
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| 171 | #if defined( __KKMP ) |
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| 172 | CALL LOCAL_GETENV( 'OMP_NUM_THREADS', 15, cdummy, idummy ) |
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| 173 | READ ( cdummy, '(I8)' ) n_omp_threads |
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| 174 | IF ( myid == 0 .AND. n_omp_threads > 1 ) THEN |
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| 175 | PRINT*, '*** poisfft_hybrid_ini: Number of OpenMP threads = ', & |
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| 176 | n_omp_threads |
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| 177 | ENDIF |
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| 178 | #else |
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| 179 | n_omp_threads = 1 |
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| 180 | #endif |
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| 181 | ! |
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| 182 | !-- Initialize the one-dimensional FFT routines |
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| 183 | CALL fft_init |
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| 184 | |
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| 185 | ! |
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| 186 | !-- Setup for multi node version (poisfft_hybrid_nodes) |
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| 187 | IF ( n_omp_threads == 1 .AND. & |
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| 188 | ( host(1:4) == 'ibmh' .OR. host(1:4) == 'ibmb' ) ) THEN |
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| 189 | |
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| 190 | IF ( tasks_per_node /= -9999 ) THEN |
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| 191 | ! |
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| 192 | !-- Multi node version requires that the available number of |
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| 193 | !-- switches per logical partition must be an integral divisor |
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| 194 | !-- of the chosen number of tasks per node |
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| 195 | IF ( MOD( tasks_per_node, switch_per_lpar ) == 0 ) THEN |
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| 196 | ! |
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| 197 | !-- Set the switch which decides about usage of the multi node |
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| 198 | !-- version |
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| 199 | IF ( tasks_per_node / switch_per_lpar > 1 .AND. & |
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| 200 | numprocs > tasks_per_node ) THEN |
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| 201 | tasks_per_logical_node = tasks_per_node / switch_per_lpar |
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| 202 | ENDIF |
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| 203 | |
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| 204 | IF ( myid == 0 .AND. tasks_per_logical_node > -1 ) THEN |
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| 205 | PRINT*, '*** poisfft_hybrid_ini: running optimized ', & |
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| 206 | 'multinode version' |
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| 207 | PRINT*, ' switch_per_lpar = ', switch_per_lpar |
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| 208 | PRINT*, ' tasks_per_lpar = ', tasks_per_node |
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| 209 | PRINT*, ' tasks_per_logical_node = ', & |
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| 210 | tasks_per_logical_node |
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| 211 | ENDIF |
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| 212 | |
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| 213 | ENDIF |
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| 214 | ENDIF |
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| 215 | ENDIF |
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| 216 | |
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| 217 | ! |
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| 218 | !-- Determine sub-topologies for multi node version |
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| 219 | IF ( tasks_per_logical_node >= 2 ) THEN |
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| 220 | |
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| 221 | #if defined( __parallel ) |
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| 222 | nodes = ( numprocs + tasks_per_logical_node - 1 ) / & |
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| 223 | tasks_per_logical_node |
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| 224 | dims(1) = nodes |
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| 225 | dims(2) = tasks_per_logical_node |
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| 226 | |
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| 227 | CALL MPI_CART_CREATE( comm2d, 2, dims, period, .FALSE., & |
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| 228 | comm_node_all, istat ) |
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| 229 | CALL MPI_COMM_RANK( comm_node_all, me, istat ) |
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| 230 | |
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| 231 | re_dims(1) = .TRUE. |
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| 232 | re_dims(2) = .FALSE. |
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| 233 | CALL MPI_CART_SUB( comm_node_all, re_dims, comm_nodes, istat ) |
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| 234 | CALL MPI_COMM_RANK( comm_nodes, me_node, istat ) |
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| 235 | |
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| 236 | re_dims(1) = .FALSE. |
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| 237 | re_dims(2) = .TRUE. |
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| 238 | CALL MPI_CART_SUB( comm_node_all, re_dims, comm_tasks, istat ) |
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| 239 | CALL MPI_COMM_RANK( comm_tasks, me_task, istat ) |
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| 240 | |
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| 241 | ! write(0,*) 'who am i',myid,me,me_node,me_task,nodes,& |
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| 242 | ! tasks_per_logical_node |
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| 243 | #else |
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| 244 | PRINT*, '+++ poisfft_hybrid_ini: parallel environment (MPI) required' |
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| 245 | CALL local_stop |
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| 246 | #endif |
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| 247 | ENDIF |
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| 248 | |
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| 249 | END SUBROUTINE poisfft_hybrid_ini |
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| 250 | |
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| 251 | |
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| 252 | SUBROUTINE poisfft_hybrid( ar ) |
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| 253 | |
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| 254 | USE control_parameters |
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| 255 | USE interfaces |
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| 256 | |
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| 257 | IMPLICIT NONE |
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| 258 | |
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| 259 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
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| 260 | |
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| 261 | IF ( host(1:3) == 'nec' ) THEN |
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| 262 | CALL poisfft_hybrid_omp_vec( ar ) |
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| 263 | ELSE |
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| 264 | IF ( tasks_per_logical_node == -1 ) THEN |
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| 265 | CALL poisfft_hybrid_omp( ar ) |
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| 266 | ELSE |
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| 267 | CALL poisfft_hybrid_nodes( ar ) |
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| 268 | ENDIF |
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| 269 | ENDIF |
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| 270 | |
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| 271 | END SUBROUTINE poisfft_hybrid |
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| 272 | |
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| 273 | |
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| 274 | SUBROUTINE poisfft_hybrid_omp ( ar ) |
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| 275 | |
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| 276 | USE cpulog |
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| 277 | USE interfaces |
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| 278 | |
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| 279 | IMPLICIT NONE |
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| 280 | |
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| 281 | INTEGER, PARAMETER :: istride = 4 ! stride of i loop |
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| 282 | INTEGER :: i, ii, ir, iei, iouter, istat, j, jj, k, m, n, jthread |
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| 283 | |
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| 284 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
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| 285 | |
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| 286 | REAL, DIMENSION(0:nx) :: fftx_ar |
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| 287 | REAL, DIMENSION(0:ny,istride) :: ffty_ar |
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| 288 | |
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| 289 | REAL, DIMENSION(0:nx,nz) :: tri_ar |
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| 290 | |
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| 291 | REAL, DIMENSION(nxl_p:nxr_p,nz,nys_p:nyn_p,npe_s) :: work1, work2 |
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| 292 | #if defined( __KKMP ) |
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| 293 | INTEGER :: omp_get_thread_num |
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| 294 | REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri |
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| 295 | ALLOCATE( tri(5,0:nx,0:nz-1,n_omp_threads ) ) |
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| 296 | #else |
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| 297 | REAL, DIMENSION(5,0:nx,0:nz-1,1) :: tri |
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| 298 | #endif |
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| 299 | |
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| 300 | |
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| 301 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_omp', 'start' ) |
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| 302 | |
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| 303 | CALL cpu_log( log_point_s(7), 'fft_y', 'start' ) |
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| 304 | |
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| 305 | !$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n,ffty_ar) |
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| 306 | !$OMP DO |
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| 307 | ! |
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| 308 | !-- Store grid points to be transformed on a 1d-array, do the fft |
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| 309 | !-- and sample the results on a 4d-array |
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| 310 | DO iouter = nxl_p, nxr_p, istride ! stride loop, better cache |
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| 311 | iei = MIN( iouter+istride-1, nxr_p ) |
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| 312 | DO k = 1, nz |
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| 313 | |
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| 314 | DO i = iouter, iei |
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| 315 | ii = nxl + i |
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| 316 | ir = i - iouter + 1 |
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| 317 | |
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| 318 | DO j = nys_a, nyn_a |
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| 319 | ffty_ar(j,ir) = ar(k,j,ii) |
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| 320 | ENDDO |
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| 321 | |
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| 322 | CALL fft_y( ffty_ar(:,ir), 'forward' ) |
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| 323 | ENDDO |
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| 324 | |
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| 325 | m = nys_a |
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| 326 | DO n = 1, npe_s |
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| 327 | DO j = nys_p, nyn_p |
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| 328 | DO i = iouter, iei |
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| 329 | ir = i - iouter + 1 |
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| 330 | work1(i,k,j,n) = ffty_ar(m,ir) |
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| 331 | ENDDO |
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| 332 | m = m+1 |
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| 333 | ENDDO |
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| 334 | ENDDO |
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| 335 | |
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| 336 | ENDDO |
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| 337 | ENDDO |
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| 338 | !$OMP END PARALLEL |
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| 339 | |
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| 340 | CALL cpu_log( log_point_s(7), 'fft_y', 'pause' ) |
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| 341 | |
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| 342 | #if defined( __parallel ) |
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| 343 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
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| 344 | |
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| 345 | CALL MPI_ALLTOALL( work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
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| 346 | work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
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| 347 | comm2d, istat ) |
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| 348 | |
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| 349 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
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| 350 | #else |
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| 351 | work2 = work1 |
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| 352 | #endif |
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| 353 | |
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| 354 | CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'start' ) |
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| 355 | |
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| 356 | #if defined( __KKMP ) |
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| 357 | !$OMP PARALLEL PRIVATE (i,j,jj,k,m,n,fftx_ar,tri_ar,jthread) |
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| 358 | !$OMP DO |
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| 359 | DO j = nys_p, nyn_p |
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| 360 | jthread = omp_get_thread_num() + 1 |
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| 361 | #else |
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| 362 | DO j = nys_p, nyn_p |
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| 363 | jthread = 1 |
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| 364 | #endif |
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| 365 | DO k = 1, nz |
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| 366 | |
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| 367 | m = nxl_a |
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| 368 | DO n = 1, npe_s |
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| 369 | DO i = nxl_p, nxr_p |
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| 370 | fftx_ar(m) = work2(i,k,j,n) |
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| 371 | m = m+1 |
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| 372 | ENDDO |
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| 373 | ENDDO |
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| 374 | |
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| 375 | CALL fft_x( fftx_ar, 'forward' ) |
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| 376 | |
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| 377 | DO i = nxl_a, nxr_a |
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| 378 | tri_ar(i,k) = fftx_ar(i) |
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| 379 | ENDDO |
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| 380 | |
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| 381 | ENDDO |
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| 382 | |
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| 383 | jj = myid * (nyn_p-nys_p+1) + j |
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| 384 | CALL tridia_hybrid( jj, tri_ar, tri(:,:,:,jthread)) |
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| 385 | |
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| 386 | DO k = 1, nz |
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| 387 | DO i = nxl_a, nxr_a |
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| 388 | fftx_ar(i) = tri_ar (i,k) |
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| 389 | ENDDO |
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| 390 | |
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| 391 | CALL fft_x( fftx_ar, 'backward' ) |
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| 392 | |
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| 393 | m = nxl_a |
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| 394 | DO n = 1, npe_s |
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| 395 | DO i = nxl_p, nxr_p |
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| 396 | work2(i,k,j,n) = fftx_ar(m) |
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| 397 | m = m+1 |
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| 398 | ENDDO |
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| 399 | ENDDO |
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| 400 | |
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| 401 | ENDDO |
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| 402 | ENDDO |
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| 403 | #if defined( __KKMP ) |
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| 404 | !$OMP END PARALLEL |
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| 405 | #endif |
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| 406 | |
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| 407 | CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'stop' ) |
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| 408 | |
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| 409 | #if defined( __parallel ) |
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| 410 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
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| 411 | nwords = (nxr_p-nxl_p+1) * nz * (nyn_p-nys_p+1) |
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| 412 | |
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| 413 | CALL MPI_ALLTOALL( work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
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| 414 | work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
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| 415 | comm2d, istat ) |
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| 416 | |
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| 417 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
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| 418 | #else |
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| 419 | work1 = work2 |
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| 420 | #endif |
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| 421 | |
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| 422 | CALL cpu_log( log_point_s(7), 'fft_y', 'continue' ) |
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| 423 | |
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| 424 | !$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n,ffty_ar) |
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| 425 | !$OMP DO |
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| 426 | DO iouter = nxl_p, nxr_p, istride |
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| 427 | iei = MIN( iouter+istride-1, nxr_p ) |
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| 428 | DO k = 1, nz |
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| 429 | |
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| 430 | m = nys_a |
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| 431 | DO n = 1, npe_s |
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| 432 | DO j = nys_p, nyn_p |
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| 433 | DO i = iouter, iei |
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| 434 | ir = i - iouter + 1 |
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| 435 | ffty_ar(m,ir) = work1 (i,k,j,n) |
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| 436 | ENDDO |
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| 437 | m = m+1 |
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| 438 | ENDDO |
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| 439 | ENDDO |
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| 440 | |
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| 441 | DO i = iouter, iei |
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| 442 | ii = nxl + i |
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| 443 | ir = i - iouter + 1 |
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| 444 | CALL fft_y( ffty_ar(:,ir), 'backward' ) |
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| 445 | |
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| 446 | DO j = nys_a, nyn_a |
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| 447 | ar(k,j,ii) = ffty_ar(j,ir) |
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| 448 | ENDDO |
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| 449 | ENDDO |
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| 450 | |
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| 451 | ENDDO |
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| 452 | ENDDO |
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| 453 | !$OMP END PARALLEL |
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| 454 | |
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| 455 | CALL cpu_log( log_point_s(7), 'fft_y', 'stop' ) |
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| 456 | |
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| 457 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_omp', 'stop' ) |
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| 458 | |
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| 459 | #if defined( __KKMP ) |
---|
| 460 | DEALLOCATE( tri ) |
---|
| 461 | #endif |
---|
| 462 | |
---|
| 463 | END SUBROUTINE poisfft_hybrid_omp |
---|
| 464 | |
---|
| 465 | |
---|
| 466 | SUBROUTINE poisfft_hybrid_omp_vec ( ar ) |
---|
| 467 | |
---|
| 468 | USE cpulog |
---|
| 469 | USE interfaces |
---|
| 470 | |
---|
| 471 | IMPLICIT NONE |
---|
| 472 | |
---|
| 473 | INTEGER, PARAMETER :: istride = 4 ! stride of i loop |
---|
| 474 | INTEGER :: i, ii, ir, iei, iouter, istat, j, jj, k, m, n, jthread |
---|
| 475 | |
---|
| 476 | REAL, DIMENSION(0:nx,nz) :: tri_ar |
---|
| 477 | |
---|
| 478 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
---|
| 479 | |
---|
| 480 | REAL, DIMENSION(0:ny+3,nz,nxl_p:nxr_p) :: ffty_ar3 |
---|
| 481 | REAL, DIMENSION(0:nx+3,nz,nys_p:nyn_p) :: fftx_ar3 |
---|
| 482 | |
---|
| 483 | REAL, DIMENSION(nxl_p:nxr_p,nz,nys_p:nyn_p,npe_s) :: work1, work2 |
---|
| 484 | #if defined( __KKMP ) |
---|
| 485 | INTEGER :: omp_get_thread_num |
---|
| 486 | REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri |
---|
| 487 | ALLOCATE( tri(5,0:nx,0:nz-1,n_omp_threads ) ) |
---|
| 488 | #else |
---|
| 489 | REAL, DIMENSION(5,0:nx,0:nz-1,1) :: tri |
---|
| 490 | #endif |
---|
| 491 | |
---|
| 492 | |
---|
| 493 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_vec', 'start' ) |
---|
| 494 | |
---|
| 495 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'start' ) |
---|
| 496 | |
---|
| 497 | !$OMP PARALLEL PRIVATE (i,j,k,m,n) |
---|
| 498 | !$OMP DO |
---|
| 499 | ! |
---|
| 500 | !-- Store grid points to be transformed on a 1d-array, do the fft |
---|
| 501 | !-- and sample the results on a 4d-array |
---|
| 502 | DO i = nxl_p, nxr_p |
---|
| 503 | |
---|
| 504 | DO j = nys_a, nyn_a |
---|
| 505 | DO k = 1, nz |
---|
| 506 | ffty_ar3(j,k,i) = ar(k,j,i+nxl) |
---|
| 507 | ENDDO |
---|
| 508 | ENDDO |
---|
| 509 | |
---|
| 510 | CALL fft_y_m( ffty_ar3(:,:,i), ny+3, 'forward' ) |
---|
| 511 | ENDDO |
---|
| 512 | |
---|
| 513 | !$OMP DO |
---|
| 514 | DO k = 1, nz |
---|
| 515 | m = nys_a |
---|
| 516 | DO n = 1, npe_s |
---|
| 517 | DO j = nys_p, nyn_p |
---|
| 518 | DO i = nxl_p, nxr_p |
---|
| 519 | work1(i,k,j,n) = ffty_ar3(m,k,i) |
---|
| 520 | ENDDO |
---|
| 521 | m = m+1 |
---|
| 522 | ENDDO |
---|
| 523 | ENDDO |
---|
| 524 | ENDDO |
---|
| 525 | !$OMP END PARALLEL |
---|
| 526 | |
---|
| 527 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'pause' ) |
---|
| 528 | |
---|
| 529 | #if defined( __parallel ) |
---|
| 530 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
---|
| 531 | CALL MPI_ALLTOALL( work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 532 | work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 533 | comm2d, istat ) |
---|
| 534 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
---|
| 535 | #else |
---|
| 536 | work2 = work1 |
---|
| 537 | #endif |
---|
| 538 | |
---|
| 539 | CALL cpu_log( log_point_s(33), 'fft_x_m + tridia', 'start' ) |
---|
| 540 | |
---|
| 541 | #if defined( __KKMP ) |
---|
| 542 | !$OMP PARALLEL PRIVATE (i,j,jj,k,m,n,tri_ar,jthread) |
---|
| 543 | !$OMP DO |
---|
| 544 | DO j = nys_p, nyn_p |
---|
| 545 | jthread = omp_get_thread_num() + 1 |
---|
| 546 | #else |
---|
| 547 | DO j = nys_p, nyn_p |
---|
| 548 | jthread = 1 |
---|
| 549 | #endif |
---|
| 550 | DO k = 1, nz |
---|
| 551 | |
---|
| 552 | m = nxl_a |
---|
| 553 | DO n = 1, npe_s |
---|
| 554 | DO i = nxl_p, nxr_p |
---|
| 555 | fftx_ar3(m,k,j) = work2(i,k,j,n) |
---|
| 556 | m = m+1 |
---|
| 557 | ENDDO |
---|
| 558 | ENDDO |
---|
| 559 | ENDDO |
---|
| 560 | |
---|
| 561 | CALL fft_x_m( fftx_ar3(:,:,j), 'forward' ) |
---|
| 562 | |
---|
| 563 | DO k = 1, nz |
---|
| 564 | DO i = nxl_a, nxr_a |
---|
| 565 | tri_ar(i,k) = fftx_ar3(i,k,j) |
---|
| 566 | ENDDO |
---|
| 567 | ENDDO |
---|
| 568 | |
---|
| 569 | jj = myid * (nyn_p-nys_p+1) + j |
---|
| 570 | CALL tridia_hybrid( jj, tri_ar, tri(:,:,:,jthread)) |
---|
| 571 | |
---|
| 572 | DO k = 1, nz |
---|
| 573 | DO i = nxl_a, nxr_a |
---|
| 574 | fftx_ar3(i,k,j) = tri_ar (i,k) |
---|
| 575 | ENDDO |
---|
| 576 | ENDDO |
---|
| 577 | |
---|
| 578 | CALL fft_x_m( fftx_ar3(:,:,j), 'backward' ) |
---|
| 579 | |
---|
| 580 | DO k = 1, nz |
---|
| 581 | m = nxl_a |
---|
| 582 | DO n = 1, npe_s |
---|
| 583 | DO i = nxl_p, nxr_p |
---|
| 584 | work2(i,k,j,n) = fftx_ar3(m,k,j) |
---|
| 585 | m = m+1 |
---|
| 586 | ENDDO |
---|
| 587 | ENDDO |
---|
| 588 | ENDDO |
---|
| 589 | |
---|
| 590 | ENDDO |
---|
| 591 | #if defined( __KKMP ) |
---|
| 592 | !$OMP END PARALLEL |
---|
| 593 | #endif |
---|
| 594 | |
---|
| 595 | CALL cpu_log( log_point_s(33), 'fft_x_m + tridia', 'stop' ) |
---|
| 596 | |
---|
| 597 | #if defined( __parallel ) |
---|
| 598 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
---|
| 599 | nwords = (nxr_p-nxl_p+1) * nz * (nyn_p-nys_p+1) |
---|
| 600 | CALL MPI_ALLTOALL( work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 601 | work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 602 | comm2d, istat ) |
---|
| 603 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
---|
| 604 | #else |
---|
| 605 | work1 = work2 |
---|
| 606 | #endif |
---|
| 607 | |
---|
| 608 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'continue' ) |
---|
| 609 | |
---|
| 610 | !$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n) |
---|
| 611 | !$OMP DO |
---|
| 612 | DO k = 1, nz |
---|
| 613 | m = nys_a |
---|
| 614 | DO n = 1, npe_s |
---|
| 615 | DO j = nys_p, nyn_p |
---|
| 616 | DO i = nxl_p, nxr_p |
---|
| 617 | ffty_ar3(m,k,i) = work1(i,k,j,n) |
---|
| 618 | ENDDO |
---|
| 619 | m = m+1 |
---|
| 620 | ENDDO |
---|
| 621 | ENDDO |
---|
| 622 | ENDDO |
---|
| 623 | |
---|
| 624 | !$OMP DO |
---|
| 625 | DO i = nxl_p, nxr_p |
---|
| 626 | CALL fft_y_m( ffty_ar3(:,:,i), ny+3, 'backward' ) |
---|
| 627 | DO j = nys_a, nyn_a |
---|
| 628 | DO k = 1, nz |
---|
| 629 | ar(k,j,i+nxl) = ffty_ar3(j,k,i) |
---|
| 630 | ENDDO |
---|
| 631 | ENDDO |
---|
| 632 | ENDDO |
---|
| 633 | !$OMP END PARALLEL |
---|
| 634 | |
---|
| 635 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'stop' ) |
---|
| 636 | |
---|
| 637 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_vec', 'stop' ) |
---|
| 638 | |
---|
| 639 | #if defined( __KKMP ) |
---|
| 640 | DEALLOCATE( tri ) |
---|
| 641 | #endif |
---|
| 642 | |
---|
| 643 | END SUBROUTINE poisfft_hybrid_omp_vec |
---|
| 644 | |
---|
| 645 | |
---|
| 646 | SUBROUTINE poisfft_hybrid_nodes ( ar ) |
---|
| 647 | |
---|
| 648 | USE cpulog |
---|
| 649 | USE interfaces |
---|
| 650 | |
---|
| 651 | IMPLICIT NONE |
---|
| 652 | |
---|
| 653 | INTEGER, PARAMETER :: istride = 4 ! stride of i loop |
---|
| 654 | INTEGER :: i, iei, ii, iouter, ir, istat, j, jj, k, m, & |
---|
| 655 | n, nn, nt, nw1, nw2 |
---|
| 656 | |
---|
| 657 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
---|
| 658 | |
---|
| 659 | REAL, DIMENSION(0:nx) :: fftx_ar |
---|
| 660 | REAL, DIMENSION(0:ny,istride) :: ffty_ar |
---|
| 661 | |
---|
| 662 | REAL, DIMENSION(0:nx,nz) :: tri_ar |
---|
| 663 | |
---|
| 664 | REAL, DIMENSION(nxl_p:nxr_p,nz,tasks_per_logical_node, & |
---|
| 665 | nodes,nys_p:nyn_p) :: work1,work2 |
---|
| 666 | REAL, DIMENSION(5,0:nx,0:nz-1) :: tri |
---|
| 667 | |
---|
| 668 | |
---|
| 669 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_nodes', 'start' ) |
---|
| 670 | |
---|
| 671 | CALL cpu_log( log_point_s(7), 'fft_y', 'start' ) |
---|
| 672 | |
---|
| 673 | ! |
---|
| 674 | !-- Store grid points to be transformed on a 1d-array, do the fft |
---|
| 675 | !-- and sample the results on a 4d-array |
---|
| 676 | DO iouter = nxl_p, nxr_p, istride ! stride loop, better cache |
---|
| 677 | iei = MIN( iouter+istride-1, nxr_p ) |
---|
| 678 | DO k = 1, nz |
---|
| 679 | |
---|
| 680 | DO i = iouter, iei |
---|
| 681 | ii = nxl + i |
---|
| 682 | ir = i - iouter + 1 |
---|
| 683 | |
---|
| 684 | DO j = nys_a, nyn_a |
---|
| 685 | ffty_ar(j,ir) = ar(k,j,ii) |
---|
| 686 | ENDDO |
---|
| 687 | |
---|
| 688 | CALL fft_y( ffty_ar(:,ir), 'forward' ) |
---|
| 689 | ENDDO |
---|
| 690 | |
---|
| 691 | m = nys_a |
---|
| 692 | DO nn = 1, nodes |
---|
| 693 | DO nt = 1, tasks_per_logical_node |
---|
| 694 | DO j = nys_p, nyn_p |
---|
| 695 | DO i = iouter, iei |
---|
| 696 | ir = i - iouter + 1 |
---|
| 697 | work1(i,k,nt,nn,j) = ffty_ar(m,ir) |
---|
| 698 | ENDDO |
---|
| 699 | m = m+1 |
---|
| 700 | ENDDO |
---|
| 701 | ENDDO |
---|
| 702 | ENDDO |
---|
| 703 | |
---|
| 704 | ENDDO |
---|
| 705 | ENDDO |
---|
| 706 | |
---|
| 707 | CALL cpu_log( log_point_s(7), 'fft_y', 'pause' ) |
---|
| 708 | |
---|
| 709 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'start' ) |
---|
| 710 | nw1 = SIZE( work1, 1 ) * SIZE( work1, 2 ) |
---|
| 711 | DO nn = 1, nodes |
---|
| 712 | DO j = nys_p, nyn_p |
---|
| 713 | #if defined( __parallel ) |
---|
| 714 | CALL MPI_ALLTOALL( work1(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 715 | work2(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 716 | comm_tasks, istat ) |
---|
| 717 | #endif |
---|
| 718 | ENDDO |
---|
| 719 | ENDDO |
---|
| 720 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'stop' ) |
---|
| 721 | |
---|
| 722 | |
---|
| 723 | DO j = nys_p, nyn_p |
---|
| 724 | |
---|
| 725 | CALL cascade( 1, j, nys_p, nyn_p ) |
---|
| 726 | nw2 = nw1 * SIZE( work1, 3 ) |
---|
| 727 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'start' ) |
---|
| 728 | #if defined( __parallel ) |
---|
| 729 | CALL MPI_ALLTOALL( work2(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 730 | work1(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 731 | comm_nodes, istat ) |
---|
| 732 | #endif |
---|
| 733 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'pause' ) |
---|
| 734 | CALL cascade( 2, j, nys_p, nyn_p ) |
---|
| 735 | |
---|
| 736 | CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'start' ) |
---|
| 737 | DO k = 1, nz |
---|
| 738 | |
---|
| 739 | m = nxl_a |
---|
| 740 | DO nn = 1, nodes |
---|
| 741 | DO nt = 1, tasks_per_logical_node |
---|
| 742 | DO i = nxl_p, nxr_p |
---|
| 743 | fftx_ar(m) = work1(i,k,nt,nn,j) |
---|
| 744 | m = m+1 |
---|
| 745 | ENDDO |
---|
| 746 | ENDDO |
---|
| 747 | ENDDO |
---|
| 748 | |
---|
| 749 | CALL fft_x( fftx_ar, 'forward' ) |
---|
| 750 | |
---|
| 751 | DO i = nxl_a, nxr_a |
---|
| 752 | tri_ar(i,k) = fftx_ar(i) |
---|
| 753 | ENDDO |
---|
| 754 | |
---|
| 755 | ENDDO |
---|
| 756 | |
---|
| 757 | jj = myid * (nyn_p-nys_p+1) + j |
---|
| 758 | CALL tridia_hybrid( jj, tri_ar, tri(:,:,:) ) |
---|
| 759 | |
---|
| 760 | DO k = 1, nz |
---|
| 761 | DO i = nxl_a, nxr_a |
---|
| 762 | fftx_ar(i) = tri_ar(i,k) |
---|
| 763 | ENDDO |
---|
| 764 | |
---|
| 765 | CALL fft_x( fftx_ar, 'backward' ) |
---|
| 766 | |
---|
| 767 | m = nxl_a |
---|
| 768 | DO nn = 1, nodes |
---|
| 769 | DO nt = 1, tasks_per_logical_node |
---|
| 770 | DO i = nxl_p, nxr_p |
---|
| 771 | work1(i,k,nt,nn,j) = fftx_ar(m) |
---|
| 772 | m = m+1 |
---|
| 773 | ENDDO |
---|
| 774 | ENDDO |
---|
| 775 | ENDDO |
---|
| 776 | ENDDO |
---|
| 777 | |
---|
| 778 | CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'stop' ) |
---|
| 779 | nw2 = nw1 * SIZE( work1, 3 ) |
---|
| 780 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'continue' ) |
---|
| 781 | #if defined( __parallel ) |
---|
| 782 | CALL MPI_ALLTOALL( work1(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 783 | work2(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 784 | comm_nodes, istat ) |
---|
| 785 | #endif |
---|
| 786 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'stop' ) |
---|
| 787 | |
---|
| 788 | ENDDO |
---|
| 789 | |
---|
| 790 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'start' ) |
---|
| 791 | DO nn = 1, nodes |
---|
| 792 | DO j = nys_p, nyn_p |
---|
| 793 | #if defined( __parallel ) |
---|
| 794 | CALL MPI_ALLTOALL( work2(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 795 | work1(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 796 | comm_tasks, istat ) |
---|
| 797 | #endif |
---|
| 798 | ENDDO |
---|
| 799 | ENDDO |
---|
| 800 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'stop' ) |
---|
| 801 | |
---|
| 802 | CALL cpu_log( log_point_s(7), 'fft_y', 'continue' ) |
---|
| 803 | |
---|
| 804 | DO iouter = nxl_p, nxr_p, istride |
---|
| 805 | iei = MIN( iouter+istride-1, nxr_p ) |
---|
| 806 | DO k = 1, nz |
---|
| 807 | |
---|
| 808 | m = nys_a |
---|
| 809 | DO nn = 1, nodes |
---|
| 810 | DO nt = 1, tasks_per_logical_node |
---|
| 811 | DO j = nys_p, nyn_p |
---|
| 812 | DO i = iouter, iei |
---|
| 813 | ir = i - iouter + 1 |
---|
| 814 | ffty_ar(m,ir) = work1(i,k,nt,nn,j) |
---|
| 815 | ENDDO |
---|
| 816 | m = m+1 |
---|
| 817 | ENDDO |
---|
| 818 | ENDDO |
---|
| 819 | ENDDO |
---|
| 820 | |
---|
| 821 | DO i = iouter, iei |
---|
| 822 | ii = nxl + i |
---|
| 823 | ir = i - iouter + 1 |
---|
| 824 | CALL fft_y( ffty_ar(:,ir), 'backward' ) |
---|
| 825 | |
---|
| 826 | DO j = nys_a, nyn_a |
---|
| 827 | ar(k,j,ii) = ffty_ar(j,ir) |
---|
| 828 | ENDDO |
---|
| 829 | ENDDO |
---|
| 830 | |
---|
| 831 | ENDDO |
---|
| 832 | ENDDO |
---|
| 833 | |
---|
| 834 | CALL cpu_log( log_point_s(7), 'fft_y', 'stop' ) |
---|
| 835 | |
---|
| 836 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_nodes', 'stop' ) |
---|
| 837 | |
---|
| 838 | END SUBROUTINE poisfft_hybrid_nodes |
---|
| 839 | |
---|
| 840 | |
---|
| 841 | |
---|
| 842 | SUBROUTINE tridia_hybrid( j, ar, tri ) |
---|
| 843 | |
---|
| 844 | USE arrays_3d |
---|
| 845 | USE control_parameters |
---|
| 846 | USE grid_variables |
---|
| 847 | |
---|
| 848 | IMPLICIT NONE |
---|
| 849 | |
---|
| 850 | INTEGER :: i, j, k, nnyh |
---|
| 851 | REAL, DIMENSION(0:nx,nz) :: ar |
---|
| 852 | REAL, DIMENSION(0:nx,0:nz-1) :: ar1 |
---|
| 853 | REAL, DIMENSION(5,0:nx,0:nz-1) :: tri |
---|
| 854 | |
---|
| 855 | nnyh = (ny+1) / 2 |
---|
| 856 | |
---|
| 857 | tri = 0.0 |
---|
| 858 | ! |
---|
| 859 | !-- Define constant elements of the tridiagonal matrix. |
---|
| 860 | DO k = 0, nz-1 |
---|
| 861 | DO i = 0,nx |
---|
| 862 | tri(2,i,k) = ddzu(k+1) * ddzw(k+1) |
---|
| 863 | tri(3,i,k) = ddzu(k+2) * ddzw(k+1) |
---|
| 864 | ENDDO |
---|
| 865 | ENDDO |
---|
| 866 | |
---|
| 867 | IF ( j <= nnyh ) THEN |
---|
| 868 | CALL maketri_hybrid( j ) |
---|
| 869 | ELSE |
---|
| 870 | CALL maketri_hybrid( ny+1-j) |
---|
| 871 | ENDIF |
---|
| 872 | CALL zerleg_hybrid |
---|
| 873 | CALL substi_hybrid( ar, tri ) |
---|
| 874 | |
---|
| 875 | CONTAINS |
---|
| 876 | |
---|
| 877 | SUBROUTINE maketri_hybrid( j ) |
---|
| 878 | |
---|
| 879 | !----------------------------------------------------------------------! |
---|
| 880 | ! maketri ! |
---|
| 881 | ! ! |
---|
| 882 | ! computes the i- and j-dependent component of the matrix ! |
---|
| 883 | !----------------------------------------------------------------------! |
---|
| 884 | |
---|
| 885 | USE constants |
---|
| 886 | |
---|
| 887 | IMPLICIT NONE |
---|
| 888 | |
---|
| 889 | INTEGER :: i, j, k, nnxh |
---|
| 890 | REAL :: a, c |
---|
| 891 | |
---|
| 892 | REAL, DIMENSION(0:nx) :: l |
---|
| 893 | |
---|
| 894 | |
---|
| 895 | nnxh = (nx+1) / 2 |
---|
| 896 | ! |
---|
| 897 | !-- Provide the tridiagonal matrix for solution of the Poisson equation |
---|
| 898 | !-- in Fourier space. The coefficients are computed following the method |
---|
| 899 | !-- of Schmidt et al. (DFVLR-Mitteilung 84-15) --> departs from Stephan |
---|
| 900 | !-- Siano's original version. |
---|
| 901 | DO i = 0,nx |
---|
| 902 | IF ( i >= 0 .AND. i < nnxh ) THEN |
---|
| 903 | l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * i ) / & |
---|
| 904 | FLOAT( nx+1 ) ) ) / ( dx * dx ) + & |
---|
| 905 | 2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / & |
---|
| 906 | FLOAT( ny+1 ) ) ) / ( dy * dy ) |
---|
| 907 | ELSEIF ( i == nnxh ) THEN |
---|
| 908 | l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * ( nx+1-i ) ) / & |
---|
| 909 | FLOAT( nx+1 ) ) ) / ( dx * dx ) + & |
---|
| 910 | 2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / & |
---|
| 911 | FLOAT(ny+1) ) ) / ( dy * dy ) |
---|
| 912 | ELSE |
---|
| 913 | l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * ( nx+1-i ) ) / & |
---|
| 914 | FLOAT( nx+1 ) ) ) / ( dx * dx ) + & |
---|
| 915 | 2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / & |
---|
| 916 | FLOAT( ny+1 ) ) ) / ( dy * dy ) |
---|
| 917 | ENDIF |
---|
| 918 | ENDDO |
---|
| 919 | |
---|
| 920 | DO k = 0,nz-1 |
---|
| 921 | DO i = 0, nx |
---|
| 922 | a = -1.0 * ddzu(k+2) * ddzw(k+1) |
---|
| 923 | c = -1.0 * ddzu(k+1) * ddzw(k+1) |
---|
| 924 | tri(1,i,k) = a + c - l(i) |
---|
| 925 | ENDDO |
---|
| 926 | ENDDO |
---|
| 927 | IF ( ibc_p_b == 1 .OR. ibc_p_b == 2 ) THEN |
---|
| 928 | DO i = 0,nx |
---|
| 929 | tri(1,i,0) = tri(1,i,0) + tri(2,i,0) |
---|
| 930 | ENDDO |
---|
| 931 | ENDIF |
---|
| 932 | IF ( ibc_p_t == 1 ) THEN |
---|
| 933 | DO i = 0,nx |
---|
| 934 | tri(1,i,nz-1) = tri(1,i,nz-1) + tri(3,i,nz-1) |
---|
| 935 | ENDDO |
---|
| 936 | ENDIF |
---|
| 937 | |
---|
| 938 | END SUBROUTINE maketri_hybrid |
---|
| 939 | |
---|
| 940 | |
---|
| 941 | SUBROUTINE zerleg_hybrid |
---|
| 942 | |
---|
| 943 | !----------------------------------------------------------------------! |
---|
| 944 | ! zerleg ! |
---|
| 945 | ! ! |
---|
| 946 | ! Splitting of the tridiagonal matrix (Thomas algorithm) ! |
---|
| 947 | !----------------------------------------------------------------------! |
---|
| 948 | |
---|
| 949 | USE indices |
---|
| 950 | |
---|
| 951 | IMPLICIT NONE |
---|
| 952 | |
---|
| 953 | INTEGER :: i, k |
---|
| 954 | |
---|
| 955 | ! |
---|
| 956 | !-- Splitting |
---|
| 957 | DO i = 0, nx |
---|
| 958 | tri(4,i,0) = tri(1,i,0) |
---|
| 959 | ENDDO |
---|
| 960 | DO k = 1, nz-1 |
---|
| 961 | DO i = 0,nx |
---|
| 962 | tri(5,i,k) = tri(2,i,k) / tri(4,i,k-1) |
---|
| 963 | tri(4,i,k) = tri(1,i,k) - tri(3,i,k-1) * tri(5,i,k) |
---|
| 964 | ENDDO |
---|
| 965 | ENDDO |
---|
| 966 | |
---|
| 967 | END SUBROUTINE zerleg_hybrid |
---|
| 968 | |
---|
| 969 | SUBROUTINE substi_hybrid( ar, tri ) |
---|
| 970 | |
---|
| 971 | !----------------------------------------------------------------------! |
---|
| 972 | ! substi ! |
---|
| 973 | ! ! |
---|
| 974 | ! Substitution (Forward and Backward) (Thomas algorithm) ! |
---|
| 975 | !----------------------------------------------------------------------! |
---|
| 976 | |
---|
| 977 | IMPLICIT NONE |
---|
| 978 | |
---|
| 979 | INTEGER :: i, j, k |
---|
| 980 | REAL, DIMENSION(0:nx,nz) :: ar |
---|
| 981 | REAL, DIMENSION(0:nx,0:nz-1) :: ar1 |
---|
| 982 | REAL, DIMENSION(5,0:nx,0:nz-1) :: tri |
---|
| 983 | |
---|
| 984 | ! |
---|
| 985 | !-- Forward substitution |
---|
| 986 | DO i = 0, nx |
---|
| 987 | ar1(i,0) = ar(i,1) |
---|
| 988 | ENDDO |
---|
| 989 | DO k = 1, nz - 1 |
---|
| 990 | DO i = 0,nx |
---|
| 991 | ar1(i,k) = ar(i,k+1) - tri(5,i,k) * ar1(i,k-1) |
---|
| 992 | ENDDO |
---|
| 993 | ENDDO |
---|
| 994 | |
---|
| 995 | ! |
---|
| 996 | !-- Backward substitution |
---|
| 997 | DO i = 0,nx |
---|
| 998 | ar(i,nz) = ar1(i,nz-1) / tri(4,i,nz-1) |
---|
| 999 | ENDDO |
---|
| 1000 | DO k = nz-2, 0, -1 |
---|
| 1001 | DO i = 0,nx |
---|
| 1002 | ar(i,k+1) = ( ar1(i,k) - tri(3,i,k) * ar(i,k+2) ) & |
---|
| 1003 | / tri(4,i,k) |
---|
| 1004 | ENDDO |
---|
| 1005 | ENDDO |
---|
| 1006 | |
---|
| 1007 | END SUBROUTINE substi_hybrid |
---|
| 1008 | |
---|
| 1009 | END SUBROUTINE tridia_hybrid |
---|
| 1010 | |
---|
| 1011 | |
---|
| 1012 | SUBROUTINE cascade( loca, j, nys_p, nyn_p ) |
---|
| 1013 | |
---|
| 1014 | USE cpulog |
---|
| 1015 | |
---|
| 1016 | IMPLICIT NONE |
---|
| 1017 | |
---|
| 1018 | INTEGER :: ier, j, loca, nyn_p, nys_p, req, reqa(1) |
---|
| 1019 | INTEGER, SAVE :: tag = 10 |
---|
| 1020 | #if defined( __parallel ) |
---|
| 1021 | INTEGER, DIMENSION(MPI_STATUS_SIZE) :: stat |
---|
| 1022 | #endif |
---|
| 1023 | |
---|
| 1024 | REAL :: buf, buf1 |
---|
| 1025 | |
---|
| 1026 | |
---|
| 1027 | buf = 1.0 |
---|
| 1028 | buf1 = 1.1 |
---|
| 1029 | IF ( me_node == 0 ) THEN ! first node only |
---|
| 1030 | |
---|
| 1031 | SELECT CASE ( loca ) |
---|
| 1032 | |
---|
| 1033 | CASE ( 1 ) ! before alltoall |
---|
| 1034 | |
---|
| 1035 | IF( me_task > 0 ) THEN ! first task does not wait |
---|
| 1036 | #if defined( __parallel ) |
---|
| 1037 | CALL MPI_SENDRECV( buf, 1, MPI_REAL, me_task-1, 0, & |
---|
| 1038 | buf1, 1, MPI_REAL, me_task-1, 0, & |
---|
| 1039 | comm_tasks, stat,ierr ) |
---|
| 1040 | #endif |
---|
| 1041 | ELSEIF ( j > nys_p ) THEN |
---|
| 1042 | req = 0 |
---|
| 1043 | tag = MOD( tag-10, 10 ) + 10 |
---|
| 1044 | #if defined( __parallel ) |
---|
| 1045 | CALL MPI_IRECV( buf, 1, MPI_REAL, tasks_per_logical_node-1,& |
---|
| 1046 | tag, comm_tasks, req, ierr ) |
---|
| 1047 | reqa = req |
---|
| 1048 | CALL MPI_WAITALL( 1, reqa, stat, ierr ) |
---|
| 1049 | #endif |
---|
| 1050 | ENDIF |
---|
| 1051 | |
---|
| 1052 | CASE ( 2 ) ! after alltoall |
---|
| 1053 | |
---|
| 1054 | IF ( me_task < tasks_per_logical_node-1 ) THEN ! last task |
---|
| 1055 | #if defined( __parallel ) |
---|
| 1056 | CALL MPI_SENDRECV( buf, 1, MPI_REAL, me_task+1, 0, & |
---|
| 1057 | buf1, 1, MPI_REAL, me_task+1, 0, & |
---|
| 1058 | comm_tasks, stat, ierr) |
---|
| 1059 | #endif |
---|
| 1060 | ELSEIF ( j < nyn_p ) THEN |
---|
| 1061 | req = 0 |
---|
| 1062 | tag = MOD( tag-10, 10 ) + 10 |
---|
| 1063 | #if defined( __parallel ) |
---|
| 1064 | CALL MPI_ISEND( buf, 1, MPI_REAL, 0, tag, comm_tasks, req, & |
---|
| 1065 | ierr ) |
---|
| 1066 | #endif |
---|
| 1067 | ENDIF |
---|
| 1068 | |
---|
| 1069 | END SELECT |
---|
| 1070 | |
---|
| 1071 | ENDIF |
---|
| 1072 | |
---|
| 1073 | END SUBROUTINE cascade |
---|
| 1074 | |
---|
| 1075 | END MODULE poisfft_hybrid_mod |
---|