[1] | 1 | MODULE poisfft_hybrid_mod |
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[808] | 2 | |
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[1036] | 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2012 Leibniz University Hannover |
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| 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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[257] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[1111] | 22 | ! poisfft_hybrid_ini is now called internally from poisfft_hybrid, |
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| 23 | ! ibc_p_b = 2 removed |
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[1] | 24 | ! |
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| 25 | ! Former revisions: |
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| 26 | ! ----------------- |
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[3] | 27 | ! $Id: poisfft_hybrid.f90 1111 2013-03-08 23:54:10Z raasch $ |
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[392] | 28 | ! |
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[1107] | 29 | ! 1106 2013-03-04 05:31:38Z raasch |
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| 30 | ! calls of fft_x, fft_y replaced by fft_x_1d, fft_y_1d |
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| 31 | ! |
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[1037] | 32 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 33 | ! code put under GPL (PALM 3.9) |
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| 34 | ! |
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[1014] | 35 | ! 1013 2012-09-21 07:03:55Z raasch |
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| 36 | ! FLOAT type conversion replaced by REAL |
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| 37 | ! |
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[810] | 38 | ! 809 2012-01-30 13:32:58Z maronga |
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| 39 | ! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives |
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| 40 | ! |
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[808] | 41 | ! 807 2012-01-25 11:53:51Z maronga |
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| 42 | ! New cpp directive "__check" implemented which is used by check_namelist_files |
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| 43 | ! (most of the code is unneeded by check_namelist_files). |
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| 44 | ! |
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[668] | 45 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 46 | ! ddzu replaced by ddzu_pres due to changes in zu(0) |
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| 47 | ! |
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[482] | 48 | ! 415 2009-12-15 10:26:23Z raasch |
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[807] | 49 | ! Dimension of array stat in cascade change to prevent type problems with___ |
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[482] | 50 | ! mpi2 libraries |
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| 51 | ! |
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[392] | 52 | ! 274 2009-03-26 15:11:21Z heinze |
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| 53 | ! Output of messages replaced by message handling routine. |
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| 54 | ! |
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| 55 | ! Feb. 2007 |
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[3] | 56 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 57 | ! |
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[1] | 58 | ! Revision 1.11 2004/04/30 12:43:14 raasch |
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| 59 | ! Renaming of fft routines, additional argument in calls of fft_y_m |
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| 60 | ! |
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| 61 | ! Revision 1.2 2002/12/19 16:08:31 raasch |
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| 62 | ! Preprocessor directive KKMP introduced (OMP does NOT work), |
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| 63 | ! array tri will be a shared array in OpenMP loop, to get better cache |
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| 64 | ! utilization, the i index (x-direction) will be executed in stride |
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| 65 | ! "istride" as outer loop and in a shorter inner loop, |
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| 66 | ! overlapping of computation and communication realized by new routine |
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| 67 | ! poisfft_hybrid_nodes, name of old routine poisfft_hybrid changed to |
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| 68 | ! poisfft_hybrid_omp, STOP statement replaced by call of subroutine local_stop |
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| 69 | ! |
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| 70 | ! |
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| 71 | ! Description: |
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| 72 | ! ------------ |
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| 73 | ! Solution of the Poisson equation with a 2D spectral method. |
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| 74 | ! Hybrid version for parallel computers using a 1D domain decomposition, |
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| 75 | ! realized with MPI, along x and parallelization with OPEN-MP along y |
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| 76 | ! (routine poisfft_hybrid_omp). In a second version (poisfft_hybrid_nodes), |
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| 77 | ! optimization is realized by overlapping of computation and communication |
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| 78 | ! and by simultaneously executing as many communication calls as switches |
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| 79 | ! per logical partition (LPAR) are available. This version comes into |
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| 80 | ! effect if more than one node is used and if the environment variable |
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| 81 | ! tasks_per_node is set in a way that it can be devided by switch_per_lpar |
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| 82 | ! without any rest. |
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| 83 | ! |
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| 84 | ! WARNING: In case of OpenMP, there are problems with allocating large |
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| 85 | ! arrays in parallel regions. |
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| 86 | ! |
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| 87 | ! Copyright Klaus Ketelsen / Siegfried Raasch May 2002 |
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| 88 | !------------------------------------------------------------------------------! |
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| 89 | |
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| 90 | USE fft_xy |
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| 91 | USE indices |
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| 92 | USE pegrid |
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| 93 | |
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| 94 | IMPLICIT NONE |
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| 95 | |
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| 96 | INTEGER, PARAMETER :: switch_per_lpar = 2 |
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| 97 | |
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| 98 | INTEGER, SAVE :: nxl_a, nxr_a, & ! total x dimension |
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| 99 | nxl_p, nxr_p, & ! partial x dimension |
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| 100 | nys_a, nyn_a, & ! total y dimension |
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| 101 | nys_p, nyn_p, & ! partial y dimension |
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| 102 | |
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| 103 | npe_s, & ! total number of PEs for solver |
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| 104 | nwords, & ! number of points to be exchanged |
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| 105 | ! with MPI_ALLTOALL |
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| 106 | n_omp_threads ! number of OpenMP threads |
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| 107 | |
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| 108 | ! |
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| 109 | !-- Variables for multi node version (cluster version) using routine |
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| 110 | !-- poisfft_hybrid_nodes |
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| 111 | INTEGER, SAVE :: comm_nodes, & ! communicater nodes |
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| 112 | comm_node_all, & ! communicater all PEs node version |
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| 113 | comm_tasks, & ! communicater tasks |
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| 114 | me, me_node, me_task,& ! identity of this PE |
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| 115 | nodes, & ! number of nodes |
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| 116 | tasks_per_logical_node = -1 ! default no cluster |
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| 117 | |
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[1111] | 118 | LOGICAL, SAVE :: poisfft_initialized = .FALSE. |
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[807] | 119 | |
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[1111] | 120 | |
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[807] | 121 | PRIVATE |
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| 122 | |
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| 123 | |
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[809] | 124 | #if ! defined ( __check ) |
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[807] | 125 | PUBLIC poisfft_hybrid, poisfft_hybrid_ini |
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| 126 | |
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| 127 | |
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[1] | 128 | ! |
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| 129 | !-- Public interfaces |
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| 130 | INTERFACE poisfft_hybrid_ini |
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| 131 | MODULE PROCEDURE poisfft_hybrid_ini |
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| 132 | END INTERFACE poisfft_hybrid_ini |
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| 133 | |
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| 134 | INTERFACE poisfft_hybrid |
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| 135 | MODULE PROCEDURE poisfft_hybrid |
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| 136 | END INTERFACE poisfft_hybrid |
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| 137 | |
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| 138 | ! |
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| 139 | !-- Private interfaces |
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| 140 | INTERFACE poisfft_hybrid_omp |
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| 141 | MODULE PROCEDURE poisfft_hybrid_omp |
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| 142 | END INTERFACE poisfft_hybrid_omp |
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| 143 | |
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| 144 | INTERFACE poisfft_hybrid_omp_vec |
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| 145 | MODULE PROCEDURE poisfft_hybrid_omp_vec |
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| 146 | END INTERFACE poisfft_hybrid_omp_vec |
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| 147 | |
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| 148 | INTERFACE poisfft_hybrid_nodes |
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| 149 | MODULE PROCEDURE poisfft_hybrid_nodes |
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| 150 | END INTERFACE poisfft_hybrid_nodes |
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| 151 | |
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| 152 | INTERFACE tridia_hybrid |
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| 153 | MODULE PROCEDURE tridia_hybrid |
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| 154 | END INTERFACE tridia_hybrid |
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| 155 | |
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| 156 | INTERFACE cascade |
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| 157 | MODULE PROCEDURE cascade |
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| 158 | END INTERFACE cascade |
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[807] | 159 | #else |
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| 160 | PUBLIC poisfft_hybrid_ini |
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[1] | 161 | |
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[807] | 162 | ! |
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| 163 | !-- Public interfaces |
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| 164 | INTERFACE poisfft_hybrid_ini |
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| 165 | MODULE PROCEDURE poisfft_hybrid_ini |
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| 166 | END INTERFACE poisfft_hybrid_ini |
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| 167 | #endif |
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| 168 | |
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[1] | 169 | CONTAINS |
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| 170 | |
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[807] | 171 | |
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[1] | 172 | SUBROUTINE poisfft_hybrid_ini |
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| 173 | |
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| 174 | USE control_parameters |
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| 175 | USE pegrid |
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| 176 | |
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| 177 | IMPLICIT NONE |
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| 178 | |
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| 179 | CHARACTER(LEN=8) :: cdummy |
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| 180 | INTEGER :: idummy, istat |
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| 181 | INTEGER, DIMENSION(2) :: coords, dims |
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| 182 | |
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| 183 | LOGICAL, DIMENSION(2) :: period = .false., re_dims |
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| 184 | |
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| 185 | |
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| 186 | ! |
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| 187 | !-- Set the internal index values for the hybrid solver |
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| 188 | #if defined( __parallel ) |
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| 189 | npe_s = pdims(1) |
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| 190 | #else |
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| 191 | npe_s = 1 |
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| 192 | #endif |
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| 193 | nxl_a = 0 |
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| 194 | nxr_a = nx |
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| 195 | nxl_p = 0 |
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| 196 | nxr_p = ( ( nx+1 ) / npe_s ) - 1 |
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| 197 | nys_a = nys |
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| 198 | nyn_a = nyn |
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| 199 | nys_p = 0 |
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| 200 | nyn_p = ( ( ny+1 ) / npe_s ) - 1 |
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| 201 | |
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| 202 | nwords = ( nxr_p-nxl_p+1 ) * nz * ( nyn_p-nys_p+1 ) |
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| 203 | |
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[809] | 204 | #if defined( __KKMP ) && ! defined ( __check ) |
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[1] | 205 | CALL LOCAL_GETENV( 'OMP_NUM_THREADS', 15, cdummy, idummy ) |
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| 206 | READ ( cdummy, '(I8)' ) n_omp_threads |
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[257] | 207 | IF ( n_omp_threads > 1 ) THEN |
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| 208 | WRITE( message_string, * ) 'Number of OpenMP threads = ', & |
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| 209 | n_omp_threads |
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| 210 | CALL message( 'poisfft_hybrid_ini', 'PA0280', 0, 0, 0, 6, 0 ) |
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[1] | 211 | ENDIF |
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| 212 | #else |
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| 213 | n_omp_threads = 1 |
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| 214 | #endif |
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| 215 | ! |
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| 216 | !-- Initialize the one-dimensional FFT routines |
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| 217 | CALL fft_init |
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| 218 | |
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| 219 | ! |
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| 220 | !-- Setup for multi node version (poisfft_hybrid_nodes) |
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| 221 | IF ( n_omp_threads == 1 .AND. & |
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| 222 | ( host(1:4) == 'ibmh' .OR. host(1:4) == 'ibmb' ) ) THEN |
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| 223 | |
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| 224 | IF ( tasks_per_node /= -9999 ) THEN |
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| 225 | ! |
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| 226 | !-- Multi node version requires that the available number of |
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| 227 | !-- switches per logical partition must be an integral divisor |
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| 228 | !-- of the chosen number of tasks per node |
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| 229 | IF ( MOD( tasks_per_node, switch_per_lpar ) == 0 ) THEN |
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| 230 | ! |
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| 231 | !-- Set the switch which decides about usage of the multi node |
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| 232 | !-- version |
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| 233 | IF ( tasks_per_node / switch_per_lpar > 1 .AND. & |
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| 234 | numprocs > tasks_per_node ) THEN |
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| 235 | tasks_per_logical_node = tasks_per_node / switch_per_lpar |
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| 236 | ENDIF |
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| 237 | |
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[257] | 238 | IF ( tasks_per_logical_node > -1 ) THEN |
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| 239 | |
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| 240 | WRITE( message_string, * ) 'running optimized ', & |
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| 241 | 'multinode version', & |
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| 242 | '&switch_per_lpar = ', & |
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| 243 | switch_per_lpar, & |
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| 244 | '&tasks_per_lpar = ', & |
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| 245 | tasks_per_node, & |
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| 246 | 'tasks_per_logical_node = ', & |
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| 247 | tasks_per_logical_node |
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[274] | 248 | CALL message( 'poisfft_hybrid_ini', 'PA0281', 0, 0, 0, 6, 0 ) |
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[257] | 249 | |
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[1] | 250 | ENDIF |
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| 251 | |
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| 252 | ENDIF |
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| 253 | ENDIF |
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| 254 | ENDIF |
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| 255 | |
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| 256 | ! |
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| 257 | !-- Determine sub-topologies for multi node version |
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| 258 | IF ( tasks_per_logical_node >= 2 ) THEN |
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| 259 | |
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[809] | 260 | #if defined( __parallel ) && ! defined ( __check ) |
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[1] | 261 | nodes = ( numprocs + tasks_per_logical_node - 1 ) / & |
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| 262 | tasks_per_logical_node |
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| 263 | dims(1) = nodes |
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| 264 | dims(2) = tasks_per_logical_node |
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| 265 | |
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| 266 | CALL MPI_CART_CREATE( comm2d, 2, dims, period, .FALSE., & |
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| 267 | comm_node_all, istat ) |
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| 268 | CALL MPI_COMM_RANK( comm_node_all, me, istat ) |
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| 269 | |
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| 270 | re_dims(1) = .TRUE. |
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| 271 | re_dims(2) = .FALSE. |
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| 272 | CALL MPI_CART_SUB( comm_node_all, re_dims, comm_nodes, istat ) |
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| 273 | CALL MPI_COMM_RANK( comm_nodes, me_node, istat ) |
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| 274 | |
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| 275 | re_dims(1) = .FALSE. |
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| 276 | re_dims(2) = .TRUE. |
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| 277 | CALL MPI_CART_SUB( comm_node_all, re_dims, comm_tasks, istat ) |
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| 278 | CALL MPI_COMM_RANK( comm_tasks, me_task, istat ) |
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| 279 | |
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| 280 | ! write(0,*) 'who am i',myid,me,me_node,me_task,nodes,& |
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| 281 | ! tasks_per_logical_node |
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[809] | 282 | #elif ! defined( __parallel ) |
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[257] | 283 | message_string = 'parallel environment (MPI) required' |
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| 284 | CALL message( 'poisfft_hybrid_ini', 'PA0282', 1, 2, 0, 6, 0 ) |
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[1] | 285 | #endif |
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| 286 | ENDIF |
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| 287 | |
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[1111] | 288 | poisfft_initialized = .TRUE. |
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| 289 | |
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[1] | 290 | END SUBROUTINE poisfft_hybrid_ini |
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| 291 | |
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[809] | 292 | #if ! defined ( __check ) |
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[1] | 293 | SUBROUTINE poisfft_hybrid( ar ) |
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| 294 | |
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| 295 | USE control_parameters |
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| 296 | USE interfaces |
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| 297 | |
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| 298 | IMPLICIT NONE |
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| 299 | |
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| 300 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
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| 301 | |
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[1111] | 302 | IF ( .NOT. poisfft_initialized ) CALL poisfft_hybrid_ini |
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| 303 | |
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[1] | 304 | IF ( host(1:3) == 'nec' ) THEN |
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| 305 | CALL poisfft_hybrid_omp_vec( ar ) |
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| 306 | ELSE |
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| 307 | IF ( tasks_per_logical_node == -1 ) THEN |
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| 308 | CALL poisfft_hybrid_omp( ar ) |
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| 309 | ELSE |
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| 310 | CALL poisfft_hybrid_nodes( ar ) |
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| 311 | ENDIF |
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| 312 | ENDIF |
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| 313 | |
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| 314 | END SUBROUTINE poisfft_hybrid |
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| 315 | |
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| 316 | |
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| 317 | SUBROUTINE poisfft_hybrid_omp ( ar ) |
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| 318 | |
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| 319 | USE cpulog |
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| 320 | USE interfaces |
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| 321 | |
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| 322 | IMPLICIT NONE |
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| 323 | |
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| 324 | INTEGER, PARAMETER :: istride = 4 ! stride of i loop |
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| 325 | INTEGER :: i, ii, ir, iei, iouter, istat, j, jj, k, m, n, jthread |
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| 326 | |
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| 327 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
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| 328 | |
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| 329 | REAL, DIMENSION(0:nx) :: fftx_ar |
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| 330 | REAL, DIMENSION(0:ny,istride) :: ffty_ar |
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| 331 | |
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| 332 | REAL, DIMENSION(0:nx,nz) :: tri_ar |
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| 333 | |
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| 334 | REAL, DIMENSION(nxl_p:nxr_p,nz,nys_p:nyn_p,npe_s) :: work1, work2 |
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| 335 | #if defined( __KKMP ) |
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| 336 | INTEGER :: omp_get_thread_num |
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| 337 | REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri |
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| 338 | ALLOCATE( tri(5,0:nx,0:nz-1,n_omp_threads ) ) |
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| 339 | #else |
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| 340 | REAL, DIMENSION(5,0:nx,0:nz-1,1) :: tri |
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| 341 | #endif |
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| 342 | |
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| 343 | |
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| 344 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_omp', 'start' ) |
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| 345 | |
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[1106] | 346 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'start' ) |
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[1] | 347 | |
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| 348 | !$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n,ffty_ar) |
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| 349 | !$OMP DO |
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| 350 | ! |
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| 351 | !-- Store grid points to be transformed on a 1d-array, do the fft |
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| 352 | !-- and sample the results on a 4d-array |
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| 353 | DO iouter = nxl_p, nxr_p, istride ! stride loop, better cache |
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| 354 | iei = MIN( iouter+istride-1, nxr_p ) |
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| 355 | DO k = 1, nz |
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| 356 | |
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| 357 | DO i = iouter, iei |
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| 358 | ii = nxl + i |
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| 359 | ir = i - iouter + 1 |
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| 360 | |
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| 361 | DO j = nys_a, nyn_a |
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| 362 | ffty_ar(j,ir) = ar(k,j,ii) |
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| 363 | ENDDO |
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| 364 | |
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[1106] | 365 | CALL fft_y_1d( ffty_ar(:,ir), 'forward' ) |
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[1] | 366 | ENDDO |
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| 367 | |
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| 368 | m = nys_a |
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| 369 | DO n = 1, npe_s |
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| 370 | DO j = nys_p, nyn_p |
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| 371 | DO i = iouter, iei |
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| 372 | ir = i - iouter + 1 |
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| 373 | work1(i,k,j,n) = ffty_ar(m,ir) |
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| 374 | ENDDO |
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| 375 | m = m+1 |
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| 376 | ENDDO |
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| 377 | ENDDO |
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| 378 | |
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| 379 | ENDDO |
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| 380 | ENDDO |
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| 381 | !$OMP END PARALLEL |
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| 382 | |
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[1106] | 383 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'pause' ) |
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[1] | 384 | |
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| 385 | #if defined( __parallel ) |
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| 386 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
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| 387 | |
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| 388 | CALL MPI_ALLTOALL( work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
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| 389 | work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
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| 390 | comm2d, istat ) |
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| 391 | |
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| 392 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
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| 393 | #else |
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| 394 | work2 = work1 |
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| 395 | #endif |
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| 396 | |
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[1106] | 397 | CALL cpu_log( log_point_s(33), 'fft_x_1d + tridia', 'start' ) |
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[1] | 398 | |
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| 399 | #if defined( __KKMP ) |
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| 400 | !$OMP PARALLEL PRIVATE (i,j,jj,k,m,n,fftx_ar,tri_ar,jthread) |
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| 401 | !$OMP DO |
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| 402 | DO j = nys_p, nyn_p |
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| 403 | jthread = omp_get_thread_num() + 1 |
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| 404 | #else |
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| 405 | DO j = nys_p, nyn_p |
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| 406 | jthread = 1 |
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| 407 | #endif |
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| 408 | DO k = 1, nz |
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| 409 | |
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| 410 | m = nxl_a |
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| 411 | DO n = 1, npe_s |
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| 412 | DO i = nxl_p, nxr_p |
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| 413 | fftx_ar(m) = work2(i,k,j,n) |
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| 414 | m = m+1 |
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| 415 | ENDDO |
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| 416 | ENDDO |
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| 417 | |
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[1106] | 418 | CALL fft_x_1d( fftx_ar, 'forward' ) |
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[1] | 419 | |
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| 420 | DO i = nxl_a, nxr_a |
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| 421 | tri_ar(i,k) = fftx_ar(i) |
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| 422 | ENDDO |
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| 423 | |
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| 424 | ENDDO |
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| 425 | |
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| 426 | jj = myid * (nyn_p-nys_p+1) + j |
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| 427 | CALL tridia_hybrid( jj, tri_ar, tri(:,:,:,jthread)) |
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| 428 | |
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| 429 | DO k = 1, nz |
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| 430 | DO i = nxl_a, nxr_a |
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| 431 | fftx_ar(i) = tri_ar (i,k) |
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| 432 | ENDDO |
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| 433 | |
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[1106] | 434 | CALL fft_x_1d( fftx_ar, 'backward' ) |
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[1] | 435 | |
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| 436 | m = nxl_a |
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| 437 | DO n = 1, npe_s |
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| 438 | DO i = nxl_p, nxr_p |
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| 439 | work2(i,k,j,n) = fftx_ar(m) |
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| 440 | m = m+1 |
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| 441 | ENDDO |
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| 442 | ENDDO |
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| 443 | |
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| 444 | ENDDO |
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| 445 | ENDDO |
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| 446 | #if defined( __KKMP ) |
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| 447 | !$OMP END PARALLEL |
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| 448 | #endif |
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| 449 | |
---|
[1106] | 450 | CALL cpu_log( log_point_s(33), 'fft_x_1d + tridia', 'stop' ) |
---|
[1] | 451 | |
---|
| 452 | #if defined( __parallel ) |
---|
| 453 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
---|
| 454 | nwords = (nxr_p-nxl_p+1) * nz * (nyn_p-nys_p+1) |
---|
| 455 | |
---|
| 456 | CALL MPI_ALLTOALL( work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 457 | work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 458 | comm2d, istat ) |
---|
| 459 | |
---|
| 460 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
---|
| 461 | #else |
---|
| 462 | work1 = work2 |
---|
| 463 | #endif |
---|
| 464 | |
---|
[1106] | 465 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'continue' ) |
---|
[1] | 466 | |
---|
| 467 | !$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n,ffty_ar) |
---|
| 468 | !$OMP DO |
---|
| 469 | DO iouter = nxl_p, nxr_p, istride |
---|
| 470 | iei = MIN( iouter+istride-1, nxr_p ) |
---|
| 471 | DO k = 1, nz |
---|
| 472 | |
---|
| 473 | m = nys_a |
---|
| 474 | DO n = 1, npe_s |
---|
| 475 | DO j = nys_p, nyn_p |
---|
| 476 | DO i = iouter, iei |
---|
| 477 | ir = i - iouter + 1 |
---|
| 478 | ffty_ar(m,ir) = work1 (i,k,j,n) |
---|
| 479 | ENDDO |
---|
| 480 | m = m+1 |
---|
| 481 | ENDDO |
---|
| 482 | ENDDO |
---|
| 483 | |
---|
| 484 | DO i = iouter, iei |
---|
| 485 | ii = nxl + i |
---|
| 486 | ir = i - iouter + 1 |
---|
[1106] | 487 | CALL fft_y_1d( ffty_ar(:,ir), 'backward' ) |
---|
[1] | 488 | |
---|
| 489 | DO j = nys_a, nyn_a |
---|
| 490 | ar(k,j,ii) = ffty_ar(j,ir) |
---|
| 491 | ENDDO |
---|
| 492 | ENDDO |
---|
| 493 | |
---|
| 494 | ENDDO |
---|
| 495 | ENDDO |
---|
| 496 | !$OMP END PARALLEL |
---|
| 497 | |
---|
[1106] | 498 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'stop' ) |
---|
[1] | 499 | |
---|
| 500 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_omp', 'stop' ) |
---|
| 501 | |
---|
| 502 | #if defined( __KKMP ) |
---|
| 503 | DEALLOCATE( tri ) |
---|
| 504 | #endif |
---|
| 505 | |
---|
| 506 | END SUBROUTINE poisfft_hybrid_omp |
---|
| 507 | |
---|
| 508 | |
---|
| 509 | SUBROUTINE poisfft_hybrid_omp_vec ( ar ) |
---|
| 510 | |
---|
| 511 | USE cpulog |
---|
| 512 | USE interfaces |
---|
| 513 | |
---|
| 514 | IMPLICIT NONE |
---|
| 515 | |
---|
| 516 | INTEGER, PARAMETER :: istride = 4 ! stride of i loop |
---|
| 517 | INTEGER :: i, ii, ir, iei, iouter, istat, j, jj, k, m, n, jthread |
---|
| 518 | |
---|
| 519 | REAL, DIMENSION(0:nx,nz) :: tri_ar |
---|
| 520 | |
---|
| 521 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
---|
| 522 | |
---|
| 523 | REAL, DIMENSION(0:ny+3,nz,nxl_p:nxr_p) :: ffty_ar3 |
---|
| 524 | REAL, DIMENSION(0:nx+3,nz,nys_p:nyn_p) :: fftx_ar3 |
---|
| 525 | |
---|
| 526 | REAL, DIMENSION(nxl_p:nxr_p,nz,nys_p:nyn_p,npe_s) :: work1, work2 |
---|
| 527 | #if defined( __KKMP ) |
---|
| 528 | INTEGER :: omp_get_thread_num |
---|
| 529 | REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri |
---|
| 530 | ALLOCATE( tri(5,0:nx,0:nz-1,n_omp_threads ) ) |
---|
| 531 | #else |
---|
| 532 | REAL, DIMENSION(5,0:nx,0:nz-1,1) :: tri |
---|
| 533 | #endif |
---|
| 534 | |
---|
| 535 | |
---|
| 536 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_vec', 'start' ) |
---|
| 537 | |
---|
| 538 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'start' ) |
---|
| 539 | |
---|
| 540 | !$OMP PARALLEL PRIVATE (i,j,k,m,n) |
---|
| 541 | !$OMP DO |
---|
| 542 | ! |
---|
| 543 | !-- Store grid points to be transformed on a 1d-array, do the fft |
---|
| 544 | !-- and sample the results on a 4d-array |
---|
| 545 | DO i = nxl_p, nxr_p |
---|
| 546 | |
---|
| 547 | DO j = nys_a, nyn_a |
---|
| 548 | DO k = 1, nz |
---|
| 549 | ffty_ar3(j,k,i) = ar(k,j,i+nxl) |
---|
| 550 | ENDDO |
---|
| 551 | ENDDO |
---|
| 552 | |
---|
| 553 | CALL fft_y_m( ffty_ar3(:,:,i), ny+3, 'forward' ) |
---|
| 554 | ENDDO |
---|
| 555 | |
---|
| 556 | !$OMP DO |
---|
| 557 | DO k = 1, nz |
---|
| 558 | m = nys_a |
---|
| 559 | DO n = 1, npe_s |
---|
| 560 | DO j = nys_p, nyn_p |
---|
| 561 | DO i = nxl_p, nxr_p |
---|
| 562 | work1(i,k,j,n) = ffty_ar3(m,k,i) |
---|
| 563 | ENDDO |
---|
| 564 | m = m+1 |
---|
| 565 | ENDDO |
---|
| 566 | ENDDO |
---|
| 567 | ENDDO |
---|
| 568 | !$OMP END PARALLEL |
---|
| 569 | |
---|
| 570 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'pause' ) |
---|
| 571 | |
---|
| 572 | #if defined( __parallel ) |
---|
| 573 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
---|
| 574 | CALL MPI_ALLTOALL( work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 575 | work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 576 | comm2d, istat ) |
---|
| 577 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
---|
| 578 | #else |
---|
| 579 | work2 = work1 |
---|
| 580 | #endif |
---|
| 581 | |
---|
| 582 | CALL cpu_log( log_point_s(33), 'fft_x_m + tridia', 'start' ) |
---|
| 583 | |
---|
| 584 | #if defined( __KKMP ) |
---|
| 585 | !$OMP PARALLEL PRIVATE (i,j,jj,k,m,n,tri_ar,jthread) |
---|
| 586 | !$OMP DO |
---|
| 587 | DO j = nys_p, nyn_p |
---|
| 588 | jthread = omp_get_thread_num() + 1 |
---|
| 589 | #else |
---|
| 590 | DO j = nys_p, nyn_p |
---|
| 591 | jthread = 1 |
---|
| 592 | #endif |
---|
| 593 | DO k = 1, nz |
---|
| 594 | |
---|
| 595 | m = nxl_a |
---|
| 596 | DO n = 1, npe_s |
---|
| 597 | DO i = nxl_p, nxr_p |
---|
| 598 | fftx_ar3(m,k,j) = work2(i,k,j,n) |
---|
| 599 | m = m+1 |
---|
| 600 | ENDDO |
---|
| 601 | ENDDO |
---|
| 602 | ENDDO |
---|
| 603 | |
---|
| 604 | CALL fft_x_m( fftx_ar3(:,:,j), 'forward' ) |
---|
| 605 | |
---|
| 606 | DO k = 1, nz |
---|
| 607 | DO i = nxl_a, nxr_a |
---|
| 608 | tri_ar(i,k) = fftx_ar3(i,k,j) |
---|
| 609 | ENDDO |
---|
| 610 | ENDDO |
---|
| 611 | |
---|
| 612 | jj = myid * (nyn_p-nys_p+1) + j |
---|
| 613 | CALL tridia_hybrid( jj, tri_ar, tri(:,:,:,jthread)) |
---|
| 614 | |
---|
| 615 | DO k = 1, nz |
---|
| 616 | DO i = nxl_a, nxr_a |
---|
| 617 | fftx_ar3(i,k,j) = tri_ar (i,k) |
---|
| 618 | ENDDO |
---|
| 619 | ENDDO |
---|
| 620 | |
---|
| 621 | CALL fft_x_m( fftx_ar3(:,:,j), 'backward' ) |
---|
| 622 | |
---|
| 623 | DO k = 1, nz |
---|
| 624 | m = nxl_a |
---|
| 625 | DO n = 1, npe_s |
---|
| 626 | DO i = nxl_p, nxr_p |
---|
| 627 | work2(i,k,j,n) = fftx_ar3(m,k,j) |
---|
| 628 | m = m+1 |
---|
| 629 | ENDDO |
---|
| 630 | ENDDO |
---|
| 631 | ENDDO |
---|
| 632 | |
---|
| 633 | ENDDO |
---|
| 634 | #if defined( __KKMP ) |
---|
| 635 | !$OMP END PARALLEL |
---|
| 636 | #endif |
---|
| 637 | |
---|
| 638 | CALL cpu_log( log_point_s(33), 'fft_x_m + tridia', 'stop' ) |
---|
| 639 | |
---|
| 640 | #if defined( __parallel ) |
---|
| 641 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) |
---|
| 642 | nwords = (nxr_p-nxl_p+1) * nz * (nyn_p-nys_p+1) |
---|
| 643 | CALL MPI_ALLTOALL( work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 644 | work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, & |
---|
| 645 | comm2d, istat ) |
---|
| 646 | CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) |
---|
| 647 | #else |
---|
| 648 | work1 = work2 |
---|
| 649 | #endif |
---|
| 650 | |
---|
| 651 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'continue' ) |
---|
| 652 | |
---|
| 653 | !$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n) |
---|
| 654 | !$OMP DO |
---|
| 655 | DO k = 1, nz |
---|
| 656 | m = nys_a |
---|
| 657 | DO n = 1, npe_s |
---|
| 658 | DO j = nys_p, nyn_p |
---|
| 659 | DO i = nxl_p, nxr_p |
---|
| 660 | ffty_ar3(m,k,i) = work1(i,k,j,n) |
---|
| 661 | ENDDO |
---|
| 662 | m = m+1 |
---|
| 663 | ENDDO |
---|
| 664 | ENDDO |
---|
| 665 | ENDDO |
---|
| 666 | |
---|
| 667 | !$OMP DO |
---|
| 668 | DO i = nxl_p, nxr_p |
---|
| 669 | CALL fft_y_m( ffty_ar3(:,:,i), ny+3, 'backward' ) |
---|
| 670 | DO j = nys_a, nyn_a |
---|
| 671 | DO k = 1, nz |
---|
| 672 | ar(k,j,i+nxl) = ffty_ar3(j,k,i) |
---|
| 673 | ENDDO |
---|
| 674 | ENDDO |
---|
| 675 | ENDDO |
---|
| 676 | !$OMP END PARALLEL |
---|
| 677 | |
---|
| 678 | CALL cpu_log( log_point_s(7), 'fft_y_m', 'stop' ) |
---|
| 679 | |
---|
| 680 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_vec', 'stop' ) |
---|
| 681 | |
---|
| 682 | #if defined( __KKMP ) |
---|
| 683 | DEALLOCATE( tri ) |
---|
| 684 | #endif |
---|
| 685 | |
---|
| 686 | END SUBROUTINE poisfft_hybrid_omp_vec |
---|
| 687 | |
---|
| 688 | |
---|
| 689 | SUBROUTINE poisfft_hybrid_nodes ( ar ) |
---|
| 690 | |
---|
| 691 | USE cpulog |
---|
| 692 | USE interfaces |
---|
| 693 | |
---|
| 694 | IMPLICIT NONE |
---|
| 695 | |
---|
| 696 | INTEGER, PARAMETER :: istride = 4 ! stride of i loop |
---|
| 697 | INTEGER :: i, iei, ii, iouter, ir, istat, j, jj, k, m, & |
---|
| 698 | n, nn, nt, nw1, nw2 |
---|
| 699 | |
---|
| 700 | REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar |
---|
| 701 | |
---|
| 702 | REAL, DIMENSION(0:nx) :: fftx_ar |
---|
| 703 | REAL, DIMENSION(0:ny,istride) :: ffty_ar |
---|
| 704 | |
---|
| 705 | REAL, DIMENSION(0:nx,nz) :: tri_ar |
---|
| 706 | |
---|
| 707 | REAL, DIMENSION(nxl_p:nxr_p,nz,tasks_per_logical_node, & |
---|
| 708 | nodes,nys_p:nyn_p) :: work1,work2 |
---|
| 709 | REAL, DIMENSION(5,0:nx,0:nz-1) :: tri |
---|
| 710 | |
---|
| 711 | |
---|
| 712 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_nodes', 'start' ) |
---|
| 713 | |
---|
[1106] | 714 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'start' ) |
---|
[1] | 715 | |
---|
| 716 | ! |
---|
| 717 | !-- Store grid points to be transformed on a 1d-array, do the fft |
---|
| 718 | !-- and sample the results on a 4d-array |
---|
| 719 | DO iouter = nxl_p, nxr_p, istride ! stride loop, better cache |
---|
| 720 | iei = MIN( iouter+istride-1, nxr_p ) |
---|
| 721 | DO k = 1, nz |
---|
| 722 | |
---|
| 723 | DO i = iouter, iei |
---|
| 724 | ii = nxl + i |
---|
| 725 | ir = i - iouter + 1 |
---|
| 726 | |
---|
| 727 | DO j = nys_a, nyn_a |
---|
| 728 | ffty_ar(j,ir) = ar(k,j,ii) |
---|
| 729 | ENDDO |
---|
| 730 | |
---|
[1106] | 731 | CALL fft_y_1d( ffty_ar(:,ir), 'forward' ) |
---|
[1] | 732 | ENDDO |
---|
| 733 | |
---|
| 734 | m = nys_a |
---|
| 735 | DO nn = 1, nodes |
---|
| 736 | DO nt = 1, tasks_per_logical_node |
---|
| 737 | DO j = nys_p, nyn_p |
---|
| 738 | DO i = iouter, iei |
---|
| 739 | ir = i - iouter + 1 |
---|
| 740 | work1(i,k,nt,nn,j) = ffty_ar(m,ir) |
---|
| 741 | ENDDO |
---|
| 742 | m = m+1 |
---|
| 743 | ENDDO |
---|
| 744 | ENDDO |
---|
| 745 | ENDDO |
---|
| 746 | |
---|
| 747 | ENDDO |
---|
| 748 | ENDDO |
---|
| 749 | |
---|
[1106] | 750 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'pause' ) |
---|
[1] | 751 | |
---|
| 752 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'start' ) |
---|
| 753 | nw1 = SIZE( work1, 1 ) * SIZE( work1, 2 ) |
---|
| 754 | DO nn = 1, nodes |
---|
| 755 | DO j = nys_p, nyn_p |
---|
| 756 | #if defined( __parallel ) |
---|
| 757 | CALL MPI_ALLTOALL( work1(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 758 | work2(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 759 | comm_tasks, istat ) |
---|
| 760 | #endif |
---|
| 761 | ENDDO |
---|
| 762 | ENDDO |
---|
| 763 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'stop' ) |
---|
| 764 | |
---|
| 765 | |
---|
| 766 | DO j = nys_p, nyn_p |
---|
| 767 | |
---|
| 768 | CALL cascade( 1, j, nys_p, nyn_p ) |
---|
| 769 | nw2 = nw1 * SIZE( work1, 3 ) |
---|
| 770 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'start' ) |
---|
| 771 | #if defined( __parallel ) |
---|
| 772 | CALL MPI_ALLTOALL( work2(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 773 | work1(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 774 | comm_nodes, istat ) |
---|
| 775 | #endif |
---|
| 776 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'pause' ) |
---|
| 777 | CALL cascade( 2, j, nys_p, nyn_p ) |
---|
| 778 | |
---|
[1106] | 779 | CALL cpu_log( log_point_s(33), 'fft_x_1d + tridia', 'start' ) |
---|
[1] | 780 | DO k = 1, nz |
---|
| 781 | |
---|
| 782 | m = nxl_a |
---|
| 783 | DO nn = 1, nodes |
---|
| 784 | DO nt = 1, tasks_per_logical_node |
---|
| 785 | DO i = nxl_p, nxr_p |
---|
| 786 | fftx_ar(m) = work1(i,k,nt,nn,j) |
---|
| 787 | m = m+1 |
---|
| 788 | ENDDO |
---|
| 789 | ENDDO |
---|
| 790 | ENDDO |
---|
| 791 | |
---|
[1106] | 792 | CALL fft_x_1d( fftx_ar, 'forward' ) |
---|
[1] | 793 | |
---|
| 794 | DO i = nxl_a, nxr_a |
---|
| 795 | tri_ar(i,k) = fftx_ar(i) |
---|
| 796 | ENDDO |
---|
| 797 | |
---|
| 798 | ENDDO |
---|
| 799 | |
---|
| 800 | jj = myid * (nyn_p-nys_p+1) + j |
---|
| 801 | CALL tridia_hybrid( jj, tri_ar, tri(:,:,:) ) |
---|
| 802 | |
---|
| 803 | DO k = 1, nz |
---|
| 804 | DO i = nxl_a, nxr_a |
---|
| 805 | fftx_ar(i) = tri_ar(i,k) |
---|
| 806 | ENDDO |
---|
| 807 | |
---|
[1106] | 808 | CALL fft_x_1d( fftx_ar, 'backward' ) |
---|
[1] | 809 | |
---|
| 810 | m = nxl_a |
---|
| 811 | DO nn = 1, nodes |
---|
| 812 | DO nt = 1, tasks_per_logical_node |
---|
| 813 | DO i = nxl_p, nxr_p |
---|
| 814 | work1(i,k,nt,nn,j) = fftx_ar(m) |
---|
| 815 | m = m+1 |
---|
| 816 | ENDDO |
---|
| 817 | ENDDO |
---|
| 818 | ENDDO |
---|
| 819 | ENDDO |
---|
| 820 | |
---|
[1106] | 821 | CALL cpu_log( log_point_s(33), 'fft_x_1d + tridia', 'stop' ) |
---|
[1] | 822 | nw2 = nw1 * SIZE( work1, 3 ) |
---|
| 823 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'continue' ) |
---|
| 824 | #if defined( __parallel ) |
---|
| 825 | CALL MPI_ALLTOALL( work1(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 826 | work2(nxl_p,1,1,1,j), nw2, MPI_REAL, & |
---|
| 827 | comm_nodes, istat ) |
---|
| 828 | #endif |
---|
| 829 | CALL cpu_log( log_point_s(37), 'alltoall_node', 'stop' ) |
---|
| 830 | |
---|
| 831 | ENDDO |
---|
| 832 | |
---|
| 833 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'start' ) |
---|
| 834 | DO nn = 1, nodes |
---|
| 835 | DO j = nys_p, nyn_p |
---|
| 836 | #if defined( __parallel ) |
---|
| 837 | CALL MPI_ALLTOALL( work2(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 838 | work1(nxl_p,1,1,nn,j), nw1, MPI_REAL, & |
---|
| 839 | comm_tasks, istat ) |
---|
| 840 | #endif |
---|
| 841 | ENDDO |
---|
| 842 | ENDDO |
---|
| 843 | CALL cpu_log( log_point_s(32), 'alltoall_task', 'stop' ) |
---|
| 844 | |
---|
[1106] | 845 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'continue' ) |
---|
[1] | 846 | |
---|
| 847 | DO iouter = nxl_p, nxr_p, istride |
---|
| 848 | iei = MIN( iouter+istride-1, nxr_p ) |
---|
| 849 | DO k = 1, nz |
---|
| 850 | |
---|
| 851 | m = nys_a |
---|
| 852 | DO nn = 1, nodes |
---|
| 853 | DO nt = 1, tasks_per_logical_node |
---|
| 854 | DO j = nys_p, nyn_p |
---|
| 855 | DO i = iouter, iei |
---|
| 856 | ir = i - iouter + 1 |
---|
| 857 | ffty_ar(m,ir) = work1(i,k,nt,nn,j) |
---|
| 858 | ENDDO |
---|
| 859 | m = m+1 |
---|
| 860 | ENDDO |
---|
| 861 | ENDDO |
---|
| 862 | ENDDO |
---|
| 863 | |
---|
| 864 | DO i = iouter, iei |
---|
| 865 | ii = nxl + i |
---|
| 866 | ir = i - iouter + 1 |
---|
[1106] | 867 | CALL fft_y_1d( ffty_ar(:,ir), 'backward' ) |
---|
[1] | 868 | |
---|
| 869 | DO j = nys_a, nyn_a |
---|
| 870 | ar(k,j,ii) = ffty_ar(j,ir) |
---|
| 871 | ENDDO |
---|
| 872 | ENDDO |
---|
| 873 | |
---|
| 874 | ENDDO |
---|
| 875 | ENDDO |
---|
| 876 | |
---|
[1106] | 877 | CALL cpu_log( log_point_s(7), 'fft_y_1d', 'stop' ) |
---|
[1] | 878 | |
---|
| 879 | CALL cpu_log( log_point_s(30), 'poisfft_hybrid_nodes', 'stop' ) |
---|
| 880 | |
---|
| 881 | END SUBROUTINE poisfft_hybrid_nodes |
---|
| 882 | |
---|
| 883 | |
---|
| 884 | |
---|
| 885 | SUBROUTINE tridia_hybrid( j, ar, tri ) |
---|
| 886 | |
---|
| 887 | USE arrays_3d |
---|
| 888 | USE control_parameters |
---|
| 889 | USE grid_variables |
---|
| 890 | |
---|
| 891 | IMPLICIT NONE |
---|
| 892 | |
---|
| 893 | INTEGER :: i, j, k, nnyh |
---|
| 894 | REAL, DIMENSION(0:nx,nz) :: ar |
---|
| 895 | REAL, DIMENSION(0:nx,0:nz-1) :: ar1 |
---|
| 896 | REAL, DIMENSION(5,0:nx,0:nz-1) :: tri |
---|
| 897 | |
---|
| 898 | nnyh = (ny+1) / 2 |
---|
| 899 | |
---|
| 900 | tri = 0.0 |
---|
| 901 | ! |
---|
| 902 | !-- Define constant elements of the tridiagonal matrix. |
---|
| 903 | DO k = 0, nz-1 |
---|
| 904 | DO i = 0,nx |
---|
[667] | 905 | tri(2,i,k) = ddzu_pres(k+1) * ddzw(k+1) |
---|
| 906 | tri(3,i,k) = ddzu_pres(k+2) * ddzw(k+1) |
---|
[1] | 907 | ENDDO |
---|
| 908 | ENDDO |
---|
| 909 | |
---|
| 910 | IF ( j <= nnyh ) THEN |
---|
| 911 | CALL maketri_hybrid( j ) |
---|
| 912 | ELSE |
---|
| 913 | CALL maketri_hybrid( ny+1-j) |
---|
| 914 | ENDIF |
---|
| 915 | CALL zerleg_hybrid |
---|
| 916 | CALL substi_hybrid( ar, tri ) |
---|
| 917 | |
---|
| 918 | CONTAINS |
---|
| 919 | |
---|
| 920 | SUBROUTINE maketri_hybrid( j ) |
---|
| 921 | |
---|
| 922 | !----------------------------------------------------------------------! |
---|
| 923 | ! maketri ! |
---|
| 924 | ! ! |
---|
| 925 | ! computes the i- and j-dependent component of the matrix ! |
---|
| 926 | !----------------------------------------------------------------------! |
---|
| 927 | |
---|
| 928 | USE constants |
---|
| 929 | |
---|
| 930 | IMPLICIT NONE |
---|
| 931 | |
---|
| 932 | INTEGER :: i, j, k, nnxh |
---|
| 933 | REAL :: a, c |
---|
| 934 | |
---|
| 935 | REAL, DIMENSION(0:nx) :: l |
---|
| 936 | |
---|
| 937 | |
---|
| 938 | nnxh = (nx+1) / 2 |
---|
| 939 | ! |
---|
| 940 | !-- Provide the tridiagonal matrix for solution of the Poisson equation |
---|
| 941 | !-- in Fourier space. The coefficients are computed following the method |
---|
| 942 | !-- of Schmidt et al. (DFVLR-Mitteilung 84-15) --> departs from Stephan |
---|
| 943 | !-- Siano's original version. |
---|
| 944 | DO i = 0,nx |
---|
| 945 | IF ( i >= 0 .AND. i < nnxh ) THEN |
---|
| 946 | l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * i ) / & |
---|
[1013] | 947 | REAL( nx+1 ) ) ) / ( dx * dx ) + & |
---|
[1] | 948 | 2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / & |
---|
[1013] | 949 | REAL( ny+1 ) ) ) / ( dy * dy ) |
---|
[1] | 950 | ELSEIF ( i == nnxh ) THEN |
---|
| 951 | l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * ( nx+1-i ) ) / & |
---|
[1013] | 952 | REAL( nx+1 ) ) ) / ( dx * dx ) + & |
---|
[1] | 953 | 2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / & |
---|
[1013] | 954 | REAL(ny+1) ) ) / ( dy * dy ) |
---|
[1] | 955 | ELSE |
---|
| 956 | l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * ( nx+1-i ) ) / & |
---|
[1013] | 957 | REAL( nx+1 ) ) ) / ( dx * dx ) + & |
---|
[1] | 958 | 2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / & |
---|
[1013] | 959 | REAL( ny+1 ) ) ) / ( dy * dy ) |
---|
[1] | 960 | ENDIF |
---|
| 961 | ENDDO |
---|
| 962 | |
---|
| 963 | DO k = 0,nz-1 |
---|
| 964 | DO i = 0, nx |
---|
[667] | 965 | a = -1.0 * ddzu_pres(k+2) * ddzw(k+1) |
---|
| 966 | c = -1.0 * ddzu_pres(k+1) * ddzw(k+1) |
---|
[1] | 967 | tri(1,i,k) = a + c - l(i) |
---|
| 968 | ENDDO |
---|
| 969 | ENDDO |
---|
[1111] | 970 | IF ( ibc_p_b == 1 ) THEN |
---|
[1] | 971 | DO i = 0,nx |
---|
| 972 | tri(1,i,0) = tri(1,i,0) + tri(2,i,0) |
---|
| 973 | ENDDO |
---|
| 974 | ENDIF |
---|
| 975 | IF ( ibc_p_t == 1 ) THEN |
---|
| 976 | DO i = 0,nx |
---|
| 977 | tri(1,i,nz-1) = tri(1,i,nz-1) + tri(3,i,nz-1) |
---|
| 978 | ENDDO |
---|
| 979 | ENDIF |
---|
| 980 | |
---|
| 981 | END SUBROUTINE maketri_hybrid |
---|
| 982 | |
---|
| 983 | |
---|
| 984 | SUBROUTINE zerleg_hybrid |
---|
| 985 | |
---|
| 986 | !----------------------------------------------------------------------! |
---|
| 987 | ! zerleg ! |
---|
| 988 | ! ! |
---|
| 989 | ! Splitting of the tridiagonal matrix (Thomas algorithm) ! |
---|
| 990 | !----------------------------------------------------------------------! |
---|
| 991 | |
---|
| 992 | USE indices |
---|
| 993 | |
---|
| 994 | IMPLICIT NONE |
---|
| 995 | |
---|
| 996 | INTEGER :: i, k |
---|
| 997 | |
---|
| 998 | ! |
---|
| 999 | !-- Splitting |
---|
| 1000 | DO i = 0, nx |
---|
| 1001 | tri(4,i,0) = tri(1,i,0) |
---|
| 1002 | ENDDO |
---|
| 1003 | DO k = 1, nz-1 |
---|
| 1004 | DO i = 0,nx |
---|
| 1005 | tri(5,i,k) = tri(2,i,k) / tri(4,i,k-1) |
---|
| 1006 | tri(4,i,k) = tri(1,i,k) - tri(3,i,k-1) * tri(5,i,k) |
---|
| 1007 | ENDDO |
---|
| 1008 | ENDDO |
---|
| 1009 | |
---|
| 1010 | END SUBROUTINE zerleg_hybrid |
---|
| 1011 | |
---|
| 1012 | SUBROUTINE substi_hybrid( ar, tri ) |
---|
| 1013 | |
---|
| 1014 | !----------------------------------------------------------------------! |
---|
| 1015 | ! substi ! |
---|
| 1016 | ! ! |
---|
| 1017 | ! Substitution (Forward and Backward) (Thomas algorithm) ! |
---|
| 1018 | !----------------------------------------------------------------------! |
---|
| 1019 | |
---|
| 1020 | IMPLICIT NONE |
---|
| 1021 | |
---|
| 1022 | INTEGER :: i, j, k |
---|
| 1023 | REAL, DIMENSION(0:nx,nz) :: ar |
---|
| 1024 | REAL, DIMENSION(0:nx,0:nz-1) :: ar1 |
---|
| 1025 | REAL, DIMENSION(5,0:nx,0:nz-1) :: tri |
---|
| 1026 | |
---|
| 1027 | ! |
---|
| 1028 | !-- Forward substitution |
---|
| 1029 | DO i = 0, nx |
---|
| 1030 | ar1(i,0) = ar(i,1) |
---|
| 1031 | ENDDO |
---|
| 1032 | DO k = 1, nz - 1 |
---|
| 1033 | DO i = 0,nx |
---|
| 1034 | ar1(i,k) = ar(i,k+1) - tri(5,i,k) * ar1(i,k-1) |
---|
| 1035 | ENDDO |
---|
| 1036 | ENDDO |
---|
| 1037 | |
---|
| 1038 | ! |
---|
| 1039 | !-- Backward substitution |
---|
| 1040 | DO i = 0,nx |
---|
| 1041 | ar(i,nz) = ar1(i,nz-1) / tri(4,i,nz-1) |
---|
| 1042 | ENDDO |
---|
| 1043 | DO k = nz-2, 0, -1 |
---|
| 1044 | DO i = 0,nx |
---|
| 1045 | ar(i,k+1) = ( ar1(i,k) - tri(3,i,k) * ar(i,k+2) ) & |
---|
| 1046 | / tri(4,i,k) |
---|
| 1047 | ENDDO |
---|
| 1048 | ENDDO |
---|
| 1049 | |
---|
| 1050 | END SUBROUTINE substi_hybrid |
---|
| 1051 | |
---|
| 1052 | END SUBROUTINE tridia_hybrid |
---|
| 1053 | |
---|
| 1054 | |
---|
| 1055 | SUBROUTINE cascade( loca, j, nys_p, nyn_p ) |
---|
| 1056 | |
---|
| 1057 | USE cpulog |
---|
| 1058 | |
---|
| 1059 | IMPLICIT NONE |
---|
| 1060 | |
---|
| 1061 | INTEGER :: ier, j, loca, nyn_p, nys_p, req, reqa(1) |
---|
| 1062 | INTEGER, SAVE :: tag = 10 |
---|
| 1063 | #if defined( __parallel ) |
---|
[415] | 1064 | INTEGER, DIMENSION(MPI_STATUS_SIZE) :: stat |
---|
| 1065 | INTEGER, DIMENSION(MPI_STATUS_SIZE,1) :: stata |
---|
[1] | 1066 | #endif |
---|
| 1067 | |
---|
| 1068 | REAL :: buf, buf1 |
---|
| 1069 | |
---|
| 1070 | |
---|
| 1071 | buf = 1.0 |
---|
| 1072 | buf1 = 1.1 |
---|
| 1073 | IF ( me_node == 0 ) THEN ! first node only |
---|
| 1074 | |
---|
| 1075 | SELECT CASE ( loca ) |
---|
| 1076 | |
---|
| 1077 | CASE ( 1 ) ! before alltoall |
---|
| 1078 | |
---|
| 1079 | IF( me_task > 0 ) THEN ! first task does not wait |
---|
| 1080 | #if defined( __parallel ) |
---|
| 1081 | CALL MPI_SENDRECV( buf, 1, MPI_REAL, me_task-1, 0, & |
---|
| 1082 | buf1, 1, MPI_REAL, me_task-1, 0, & |
---|
[415] | 1083 | comm_tasks, stat, ierr ) |
---|
[1] | 1084 | #endif |
---|
| 1085 | ELSEIF ( j > nys_p ) THEN |
---|
| 1086 | req = 0 |
---|
| 1087 | tag = MOD( tag-10, 10 ) + 10 |
---|
| 1088 | #if defined( __parallel ) |
---|
| 1089 | CALL MPI_IRECV( buf, 1, MPI_REAL, tasks_per_logical_node-1,& |
---|
| 1090 | tag, comm_tasks, req, ierr ) |
---|
| 1091 | reqa = req |
---|
[415] | 1092 | CALL MPI_WAITALL( 1, reqa, stata, ierr ) |
---|
[1] | 1093 | #endif |
---|
| 1094 | ENDIF |
---|
| 1095 | |
---|
| 1096 | CASE ( 2 ) ! after alltoall |
---|
| 1097 | |
---|
| 1098 | IF ( me_task < tasks_per_logical_node-1 ) THEN ! last task |
---|
| 1099 | #if defined( __parallel ) |
---|
| 1100 | CALL MPI_SENDRECV( buf, 1, MPI_REAL, me_task+1, 0, & |
---|
| 1101 | buf1, 1, MPI_REAL, me_task+1, 0, & |
---|
| 1102 | comm_tasks, stat, ierr) |
---|
| 1103 | #endif |
---|
| 1104 | ELSEIF ( j < nyn_p ) THEN |
---|
| 1105 | req = 0 |
---|
| 1106 | tag = MOD( tag-10, 10 ) + 10 |
---|
| 1107 | #if defined( __parallel ) |
---|
| 1108 | CALL MPI_ISEND( buf, 1, MPI_REAL, 0, tag, comm_tasks, req, & |
---|
| 1109 | ierr ) |
---|
| 1110 | #endif |
---|
| 1111 | ENDIF |
---|
| 1112 | |
---|
| 1113 | END SELECT |
---|
| 1114 | |
---|
| 1115 | ENDIF |
---|
| 1116 | |
---|
| 1117 | END SUBROUTINE cascade |
---|
[807] | 1118 | #endif |
---|
[1] | 1119 | END MODULE poisfft_hybrid_mod |
---|