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poisfft_hybrid.f90 @ 514

Last change on this file since 514 was 482, checked in by raasch, 15 years ago

New:
---
compare_palm_logs is additionally compiled with mbuild -u (Makefile in trunk/UTIL)

make options (mopts) to be set by configuration file implemented (mrun, mbuild)

humidity=.T. is now usable for runs with topography. wall_humidityflux and
wall_scalarflux are the corresponding new parin arrays.
(check_parameters, init_3d_model, parin)

Large scale vertical motion (subsidence/ascent) can be applied to the
prognostic equation for the potential temperature. (check_parameters, header,
Makefile, modules, parin, prognostic_equations, read_var_list, subsidence,
write_var_list)

A simple method for installing and running palm (with limited features)
has been added. (Makefile, palm_simple_install, palm_simple_run)

Changed:

2d-decomposition is default for Cray-XT machines (init_pegrid)

var_ts is replaced by dots_max (modules,init_3d_model)

Every cloud droplet has now an own weighting factor and can be deleted due to
collisions. Condensation and collision of cloud droplets are adjusted
accordingly. (advec_particles)

Collision efficiency for large cloud droplets has changed according to table of
Rogers and Yau. (collision_efficiency)

Errors:

Bugfix for generating serial jobs (subjob)

Bugfix: index problem concerning gradient_level indices removed (header)

Dimension of array stat in cascade change to prevent type problems with
mpi2 libraries (poisfft_hybrid)

Loop was split to make runs reproducible when using ifort compiler.
(disturb_field)

Bugfix: exchange of ghost points for prho included (time_integration)

Bugfix: calculation of time-averaged surface heatfluxes (sum_up_3d_data)

Bugfix: calculation of precipitation_rate (calc_precipitation)

Bugfix: initial data assignments to some dvrp arrays changed due to error
messages from gfortran compiler (modules)

Bugfix: calculation of cloud droplet velocity (advec_particles)

Bugfix: transfer of particles at south/left edge (advec_particles)

Bugfix: calculation of collision_efficiency (collision_efficiency)

Bugfix: initialisation of var_mod (subsidence)

Property svn:keywords set to Id

File size: 31.4 KB

Rev	Line
[1]	1	MODULE poisfft_hybrid_mod
	2	!------------------------------------------------------------------------------
	3	!
[257]	4	! Current revisions:
[1]	5	! -----------------
[482]	6	!
[1]	7	!
	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: poisfft_hybrid.f90 482 2010-02-05 06:37:03Z heinze $
[392]	11	!
[482]	12	! 415 2009-12-15 10:26:23Z raasch
	13	! Dimension of array stat in cascade change to prevent type problems with
	14	! mpi2 libraries
	15	!
[392]	16	! 274 2009-03-26 15:11:21Z heinze
	17	! Output of messages replaced by message handling routine.
	18	!
	19	! Feb. 2007
[3]	20	! RCS Log replace by Id keyword, revision history cleaned up
	21	!
[1]	22	! Revision 1.11 2004/04/30 12:43:14 raasch
	23	! Renaming of fft routines, additional argument in calls of fft_y_m
	24	!
	25	! Revision 1.2 2002/12/19 16:08:31 raasch
	26	! Preprocessor directive KKMP introduced (OMP does NOT work),
	27	! array tri will be a shared array in OpenMP loop, to get better cache
	28	! utilization, the i index (x-direction) will be executed in stride
	29	! "istride" as outer loop and in a shorter inner loop,
	30	! overlapping of computation and communication realized by new routine
	31	! poisfft_hybrid_nodes, name of old routine poisfft_hybrid changed to
	32	! poisfft_hybrid_omp, STOP statement replaced by call of subroutine local_stop
	33	!
	34	!
	35	! Description:
	36	! ------------
	37	! Solution of the Poisson equation with a 2D spectral method.
	38	! Hybrid version for parallel computers using a 1D domain decomposition,
	39	! realized with MPI, along x and parallelization with OPEN-MP along y
	40	! (routine poisfft_hybrid_omp). In a second version (poisfft_hybrid_nodes),
	41	! optimization is realized by overlapping of computation and communication
	42	! and by simultaneously executing as many communication calls as switches
	43	! per logical partition (LPAR) are available. This version comes into
	44	! effect if more than one node is used and if the environment variable
	45	! tasks_per_node is set in a way that it can be devided by switch_per_lpar
	46	! without any rest.
	47	!
	48	! WARNING: In case of OpenMP, there are problems with allocating large
	49	! arrays in parallel regions.
	50	!
	51	! Copyright Klaus Ketelsen / Siegfried Raasch May 2002
	52	!------------------------------------------------------------------------------!
	53
	54	USE fft_xy
	55	USE indices
	56	USE pegrid
	57
	58	IMPLICIT NONE
	59
	60	PRIVATE
	61	PUBLIC poisfft_hybrid, poisfft_hybrid_ini
	62
	63	INTEGER, PARAMETER :: switch_per_lpar = 2
	64
	65	INTEGER, SAVE :: nxl_a, nxr_a, & ! total x dimension
	66	nxl_p, nxr_p, & ! partial x dimension
	67	nys_a, nyn_a, & ! total y dimension
	68	nys_p, nyn_p, & ! partial y dimension
	69
	70	npe_s, & ! total number of PEs for solver
	71	nwords, & ! number of points to be exchanged
	72	! with MPI_ALLTOALL
	73	n_omp_threads ! number of OpenMP threads
	74
	75	!
	76	!-- Variables for multi node version (cluster version) using routine
	77	!-- poisfft_hybrid_nodes
	78	INTEGER, SAVE :: comm_nodes, & ! communicater nodes
	79	comm_node_all, & ! communicater all PEs node version
	80	comm_tasks, & ! communicater tasks
	81	me, me_node, me_task,& ! identity of this PE
	82	nodes, & ! number of nodes
	83	tasks_per_logical_node = -1 ! default no cluster
	84
	85
	86	!
	87	!-- Public interfaces
	88	INTERFACE poisfft_hybrid_ini
	89	MODULE PROCEDURE poisfft_hybrid_ini
	90	END INTERFACE poisfft_hybrid_ini
	91
	92	INTERFACE poisfft_hybrid
	93	MODULE PROCEDURE poisfft_hybrid
	94	END INTERFACE poisfft_hybrid
	95
	96	!
	97	!-- Private interfaces
	98	INTERFACE poisfft_hybrid_omp
	99	MODULE PROCEDURE poisfft_hybrid_omp
	100	END INTERFACE poisfft_hybrid_omp
	101
	102	INTERFACE poisfft_hybrid_omp_vec
	103	MODULE PROCEDURE poisfft_hybrid_omp_vec
	104	END INTERFACE poisfft_hybrid_omp_vec
	105
	106	INTERFACE poisfft_hybrid_nodes
	107	MODULE PROCEDURE poisfft_hybrid_nodes
	108	END INTERFACE poisfft_hybrid_nodes
	109
	110	INTERFACE tridia_hybrid
	111	MODULE PROCEDURE tridia_hybrid
	112	END INTERFACE tridia_hybrid
	113
	114	INTERFACE cascade
	115	MODULE PROCEDURE cascade
	116	END INTERFACE cascade
	117
	118	CONTAINS
	119
	120
	121	SUBROUTINE poisfft_hybrid_ini
	122
	123	USE control_parameters
	124	USE pegrid
	125
	126	IMPLICIT NONE
	127
	128	CHARACTER(LEN=8) :: cdummy
	129	INTEGER :: idummy, istat
	130	INTEGER, DIMENSION(2) :: coords, dims
	131
	132	LOGICAL, DIMENSION(2) :: period = .false., re_dims
	133
	134
	135	!
	136	!-- Set the internal index values for the hybrid solver
	137	#if defined( __parallel )
	138	npe_s = pdims(1)
	139	#else
	140	npe_s = 1
	141	#endif
	142	nxl_a = 0
	143	nxr_a = nx
	144	nxl_p = 0
	145	nxr_p = ( ( nx+1 ) / npe_s ) - 1
	146	nys_a = nys
	147	nyn_a = nyn
	148	nys_p = 0
	149	nyn_p = ( ( ny+1 ) / npe_s ) - 1
	150
	151	nwords = ( nxr_p-nxl_p+1 ) * nz * ( nyn_p-nys_p+1 )
	152
	153	#if defined( __KKMP )
	154	CALL LOCAL_GETENV( 'OMP_NUM_THREADS', 15, cdummy, idummy )
	155	READ ( cdummy, '(I8)' ) n_omp_threads
[257]	156	IF ( n_omp_threads > 1 ) THEN
	157	WRITE( message_string, * ) 'Number of OpenMP threads = ', &
	158	n_omp_threads
	159	CALL message( 'poisfft_hybrid_ini', 'PA0280', 0, 0, 0, 6, 0 )
[1]	160	ENDIF
	161	#else
	162	n_omp_threads = 1
	163	#endif
	164	!
	165	!-- Initialize the one-dimensional FFT routines
	166	CALL fft_init
	167
	168	!
	169	!-- Setup for multi node version (poisfft_hybrid_nodes)
	170	IF ( n_omp_threads == 1 .AND. &
	171	( host(1:4) == 'ibmh' .OR. host(1:4) == 'ibmb' ) ) THEN
	172
	173	IF ( tasks_per_node /= -9999 ) THEN
	174	!
	175	!-- Multi node version requires that the available number of
	176	!-- switches per logical partition must be an integral divisor
	177	!-- of the chosen number of tasks per node
	178	IF ( MOD( tasks_per_node, switch_per_lpar ) == 0 ) THEN
	179	!
	180	!-- Set the switch which decides about usage of the multi node
	181	!-- version
	182	IF ( tasks_per_node / switch_per_lpar > 1 .AND. &
	183	numprocs > tasks_per_node ) THEN
	184	tasks_per_logical_node = tasks_per_node / switch_per_lpar
	185	ENDIF
	186
[257]	187	IF ( tasks_per_logical_node > -1 ) THEN
	188
	189	WRITE( message_string, * ) 'running optimized ', &
	190	'multinode version', &
	191	'&switch_per_lpar = ', &
	192	switch_per_lpar, &
	193	'&tasks_per_lpar = ', &
	194	tasks_per_node, &
	195	'tasks_per_logical_node = ', &
	196	tasks_per_logical_node
[274]	197	CALL message( 'poisfft_hybrid_ini', 'PA0281', 0, 0, 0, 6, 0 )
[257]	198
[1]	199	ENDIF
	200
	201	ENDIF
	202	ENDIF
	203	ENDIF
	204
	205	!
	206	!-- Determine sub-topologies for multi node version
	207	IF ( tasks_per_logical_node >= 2 ) THEN
	208
	209	#if defined( __parallel )
	210	nodes = ( numprocs + tasks_per_logical_node - 1 ) / &
	211	tasks_per_logical_node
	212	dims(1) = nodes
	213	dims(2) = tasks_per_logical_node
	214
	215	CALL MPI_CART_CREATE( comm2d, 2, dims, period, .FALSE., &
	216	comm_node_all, istat )
	217	CALL MPI_COMM_RANK( comm_node_all, me, istat )
	218
	219	re_dims(1) = .TRUE.
	220	re_dims(2) = .FALSE.
	221	CALL MPI_CART_SUB( comm_node_all, re_dims, comm_nodes, istat )
	222	CALL MPI_COMM_RANK( comm_nodes, me_node, istat )
	223
	224	re_dims(1) = .FALSE.
	225	re_dims(2) = .TRUE.
	226	CALL MPI_CART_SUB( comm_node_all, re_dims, comm_tasks, istat )
	227	CALL MPI_COMM_RANK( comm_tasks, me_task, istat )
	228
	229	! write(0,*) 'who am i',myid,me,me_node,me_task,nodes,&
	230	! tasks_per_logical_node
	231	#else
[257]	232	message_string = 'parallel environment (MPI) required'
	233	CALL message( 'poisfft_hybrid_ini', 'PA0282', 1, 2, 0, 6, 0 )
[1]	234	#endif
	235	ENDIF
	236
	237	END SUBROUTINE poisfft_hybrid_ini
	238
	239
	240	SUBROUTINE poisfft_hybrid( ar )
	241
	242	USE control_parameters
	243	USE interfaces
	244
	245	IMPLICIT NONE
	246
	247	REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar
	248
	249	IF ( host(1:3) == 'nec' ) THEN
	250	CALL poisfft_hybrid_omp_vec( ar )
	251	ELSE
	252	IF ( tasks_per_logical_node == -1 ) THEN
	253	CALL poisfft_hybrid_omp( ar )
	254	ELSE
	255	CALL poisfft_hybrid_nodes( ar )
	256	ENDIF
	257	ENDIF
	258
	259	END SUBROUTINE poisfft_hybrid
	260
	261
	262	SUBROUTINE poisfft_hybrid_omp ( ar )
	263
	264	USE cpulog
	265	USE interfaces
	266
	267	IMPLICIT NONE
	268
	269	INTEGER, PARAMETER :: istride = 4 ! stride of i loop
	270	INTEGER :: i, ii, ir, iei, iouter, istat, j, jj, k, m, n, jthread
	271
	272	REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar
	273
	274	REAL, DIMENSION(0:nx) :: fftx_ar
	275	REAL, DIMENSION(0:ny,istride) :: ffty_ar
	276
	277	REAL, DIMENSION(0:nx,nz) :: tri_ar
	278
	279	REAL, DIMENSION(nxl_p:nxr_p,nz,nys_p:nyn_p,npe_s) :: work1, work2
	280	#if defined( __KKMP )
	281	INTEGER :: omp_get_thread_num
	282	REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri
	283	ALLOCATE( tri(5,0:nx,0:nz-1,n_omp_threads ) )
	284	#else
	285	REAL, DIMENSION(5,0:nx,0:nz-1,1) :: tri
	286	#endif
	287
	288
	289	CALL cpu_log( log_point_s(30), 'poisfft_hybrid_omp', 'start' )
	290
	291	CALL cpu_log( log_point_s(7), 'fft_y', 'start' )
	292
	293	!$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n,ffty_ar)
	294	!$OMP DO
	295	!
	296	!-- Store grid points to be transformed on a 1d-array, do the fft
	297	!-- and sample the results on a 4d-array
	298	DO iouter = nxl_p, nxr_p, istride ! stride loop, better cache
	299	iei = MIN( iouter+istride-1, nxr_p )
	300	DO k = 1, nz
	301
	302	DO i = iouter, iei
	303	ii = nxl + i
	304	ir = i - iouter + 1
	305
	306	DO j = nys_a, nyn_a
	307	ffty_ar(j,ir) = ar(k,j,ii)
	308	ENDDO
	309
	310	CALL fft_y( ffty_ar(:,ir), 'forward' )
	311	ENDDO
	312
	313	m = nys_a
	314	DO n = 1, npe_s
	315	DO j = nys_p, nyn_p
	316	DO i = iouter, iei
	317	ir = i - iouter + 1
	318	work1(i,k,j,n) = ffty_ar(m,ir)
	319	ENDDO
	320	m = m+1
	321	ENDDO
	322	ENDDO
	323
	324	ENDDO
	325	ENDDO
	326	!$OMP END PARALLEL
	327
	328	CALL cpu_log( log_point_s(7), 'fft_y', 'pause' )
	329
	330	#if defined( __parallel )
	331	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' )
	332
	333	CALL MPI_ALLTOALL( work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	334	work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	335	comm2d, istat )
	336
	337	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' )
	338	#else
	339	work2 = work1
	340	#endif
	341
	342	CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'start' )
	343
	344	#if defined( __KKMP )
	345	!$OMP PARALLEL PRIVATE (i,j,jj,k,m,n,fftx_ar,tri_ar,jthread)
	346	!$OMP DO
	347	DO j = nys_p, nyn_p
	348	jthread = omp_get_thread_num() + 1
	349	#else
	350	DO j = nys_p, nyn_p
	351	jthread = 1
	352	#endif
	353	DO k = 1, nz
	354
	355	m = nxl_a
	356	DO n = 1, npe_s
	357	DO i = nxl_p, nxr_p
	358	fftx_ar(m) = work2(i,k,j,n)
	359	m = m+1
	360	ENDDO
	361	ENDDO
	362
	363	CALL fft_x( fftx_ar, 'forward' )
	364
	365	DO i = nxl_a, nxr_a
	366	tri_ar(i,k) = fftx_ar(i)
	367	ENDDO
	368
	369	ENDDO
	370
	371	jj = myid * (nyn_p-nys_p+1) + j
	372	CALL tridia_hybrid( jj, tri_ar, tri(:,:,:,jthread))
	373
	374	DO k = 1, nz
	375	DO i = nxl_a, nxr_a
	376	fftx_ar(i) = tri_ar (i,k)
	377	ENDDO
	378
	379	CALL fft_x( fftx_ar, 'backward' )
	380
	381	m = nxl_a
	382	DO n = 1, npe_s
	383	DO i = nxl_p, nxr_p
	384	work2(i,k,j,n) = fftx_ar(m)
	385	m = m+1
	386	ENDDO
	387	ENDDO
	388
	389	ENDDO
	390	ENDDO
	391	#if defined( __KKMP )
	392	!$OMP END PARALLEL
	393	#endif
	394
	395	CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'stop' )
	396
	397	#if defined( __parallel )
	398	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' )
	399	nwords = (nxr_p-nxl_p+1) * nz * (nyn_p-nys_p+1)
	400
	401	CALL MPI_ALLTOALL( work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	402	work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	403	comm2d, istat )
	404
	405	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' )
	406	#else
	407	work1 = work2
	408	#endif
	409
	410	CALL cpu_log( log_point_s(7), 'fft_y', 'continue' )
	411
	412	!$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n,ffty_ar)
	413	!$OMP DO
	414	DO iouter = nxl_p, nxr_p, istride
	415	iei = MIN( iouter+istride-1, nxr_p )
	416	DO k = 1, nz
	417
	418	m = nys_a
	419	DO n = 1, npe_s
	420	DO j = nys_p, nyn_p
	421	DO i = iouter, iei
	422	ir = i - iouter + 1
	423	ffty_ar(m,ir) = work1 (i,k,j,n)
	424	ENDDO
	425	m = m+1
	426	ENDDO
	427	ENDDO
	428
	429	DO i = iouter, iei
	430	ii = nxl + i
	431	ir = i - iouter + 1
	432	CALL fft_y( ffty_ar(:,ir), 'backward' )
	433
	434	DO j = nys_a, nyn_a
	435	ar(k,j,ii) = ffty_ar(j,ir)
	436	ENDDO
	437	ENDDO
	438
	439	ENDDO
	440	ENDDO
	441	!$OMP END PARALLEL
	442
	443	CALL cpu_log( log_point_s(7), 'fft_y', 'stop' )
	444
	445	CALL cpu_log( log_point_s(30), 'poisfft_hybrid_omp', 'stop' )
	446
	447	#if defined( __KKMP )
	448	DEALLOCATE( tri )
	449	#endif
	450
	451	END SUBROUTINE poisfft_hybrid_omp
	452
	453
	454	SUBROUTINE poisfft_hybrid_omp_vec ( ar )
	455
	456	USE cpulog
	457	USE interfaces
	458
	459	IMPLICIT NONE
	460
	461	INTEGER, PARAMETER :: istride = 4 ! stride of i loop
	462	INTEGER :: i, ii, ir, iei, iouter, istat, j, jj, k, m, n, jthread
	463
	464	REAL, DIMENSION(0:nx,nz) :: tri_ar
	465
	466	REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar
	467
	468	REAL, DIMENSION(0:ny+3,nz,nxl_p:nxr_p) :: ffty_ar3
	469	REAL, DIMENSION(0:nx+3,nz,nys_p:nyn_p) :: fftx_ar3
	470
	471	REAL, DIMENSION(nxl_p:nxr_p,nz,nys_p:nyn_p,npe_s) :: work1, work2
	472	#if defined( __KKMP )
	473	INTEGER :: omp_get_thread_num
	474	REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri
	475	ALLOCATE( tri(5,0:nx,0:nz-1,n_omp_threads ) )
	476	#else
	477	REAL, DIMENSION(5,0:nx,0:nz-1,1) :: tri
	478	#endif
	479
	480
	481	CALL cpu_log( log_point_s(30), 'poisfft_hybrid_vec', 'start' )
	482
	483	CALL cpu_log( log_point_s(7), 'fft_y_m', 'start' )
	484
	485	!$OMP PARALLEL PRIVATE (i,j,k,m,n)
	486	!$OMP DO
	487	!
	488	!-- Store grid points to be transformed on a 1d-array, do the fft
	489	!-- and sample the results on a 4d-array
	490	DO i = nxl_p, nxr_p
	491
	492	DO j = nys_a, nyn_a
	493	DO k = 1, nz
	494	ffty_ar3(j,k,i) = ar(k,j,i+nxl)
	495	ENDDO
	496	ENDDO
	497
	498	CALL fft_y_m( ffty_ar3(:,:,i), ny+3, 'forward' )
	499	ENDDO
	500
	501	!$OMP DO
	502	DO k = 1, nz
	503	m = nys_a
	504	DO n = 1, npe_s
	505	DO j = nys_p, nyn_p
	506	DO i = nxl_p, nxr_p
	507	work1(i,k,j,n) = ffty_ar3(m,k,i)
	508	ENDDO
	509	m = m+1
	510	ENDDO
	511	ENDDO
	512	ENDDO
	513	!$OMP END PARALLEL
	514
	515	CALL cpu_log( log_point_s(7), 'fft_y_m', 'pause' )
	516
	517	#if defined( __parallel )
	518	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' )
	519	CALL MPI_ALLTOALL( work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	520	work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	521	comm2d, istat )
	522	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' )
	523	#else
	524	work2 = work1
	525	#endif
	526
	527	CALL cpu_log( log_point_s(33), 'fft_x_m + tridia', 'start' )
	528
	529	#if defined( __KKMP )
	530	!$OMP PARALLEL PRIVATE (i,j,jj,k,m,n,tri_ar,jthread)
	531	!$OMP DO
	532	DO j = nys_p, nyn_p
	533	jthread = omp_get_thread_num() + 1
	534	#else
	535	DO j = nys_p, nyn_p
	536	jthread = 1
	537	#endif
	538	DO k = 1, nz
	539
	540	m = nxl_a
	541	DO n = 1, npe_s
	542	DO i = nxl_p, nxr_p
	543	fftx_ar3(m,k,j) = work2(i,k,j,n)
	544	m = m+1
	545	ENDDO
	546	ENDDO
	547	ENDDO
	548
	549	CALL fft_x_m( fftx_ar3(:,:,j), 'forward' )
	550
	551	DO k = 1, nz
	552	DO i = nxl_a, nxr_a
	553	tri_ar(i,k) = fftx_ar3(i,k,j)
	554	ENDDO
	555	ENDDO
	556
	557	jj = myid * (nyn_p-nys_p+1) + j
	558	CALL tridia_hybrid( jj, tri_ar, tri(:,:,:,jthread))
	559
	560	DO k = 1, nz
	561	DO i = nxl_a, nxr_a
	562	fftx_ar3(i,k,j) = tri_ar (i,k)
	563	ENDDO
	564	ENDDO
	565
	566	CALL fft_x_m( fftx_ar3(:,:,j), 'backward' )
	567
	568	DO k = 1, nz
	569	m = nxl_a
	570	DO n = 1, npe_s
	571	DO i = nxl_p, nxr_p
	572	work2(i,k,j,n) = fftx_ar3(m,k,j)
	573	m = m+1
	574	ENDDO
	575	ENDDO
	576	ENDDO
	577
	578	ENDDO
	579	#if defined( __KKMP )
	580	!$OMP END PARALLEL
	581	#endif
	582
	583	CALL cpu_log( log_point_s(33), 'fft_x_m + tridia', 'stop' )
	584
	585	#if defined( __parallel )
	586	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' )
	587	nwords = (nxr_p-nxl_p+1) * nz * (nyn_p-nys_p+1)
	588	CALL MPI_ALLTOALL( work2(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	589	work1(nxl_p,1,nys_p,1), nwords, MPI_REAL, &
	590	comm2d, istat )
	591	CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' )
	592	#else
	593	work1 = work2
	594	#endif
	595
	596	CALL cpu_log( log_point_s(7), 'fft_y_m', 'continue' )
	597
	598	!$OMP PARALLEL PRIVATE (i,iouter,ii,ir,iei,j,k,m,n)
	599	!$OMP DO
	600	DO k = 1, nz
	601	m = nys_a
	602	DO n = 1, npe_s
	603	DO j = nys_p, nyn_p
	604	DO i = nxl_p, nxr_p
	605	ffty_ar3(m,k,i) = work1(i,k,j,n)
	606	ENDDO
	607	m = m+1
	608	ENDDO
	609	ENDDO
	610	ENDDO
	611
	612	!$OMP DO
	613	DO i = nxl_p, nxr_p
	614	CALL fft_y_m( ffty_ar3(:,:,i), ny+3, 'backward' )
	615	DO j = nys_a, nyn_a
	616	DO k = 1, nz
	617	ar(k,j,i+nxl) = ffty_ar3(j,k,i)
	618	ENDDO
	619	ENDDO
	620	ENDDO
	621	!$OMP END PARALLEL
	622
	623	CALL cpu_log( log_point_s(7), 'fft_y_m', 'stop' )
	624
	625	CALL cpu_log( log_point_s(30), 'poisfft_hybrid_vec', 'stop' )
	626
	627	#if defined( __KKMP )
	628	DEALLOCATE( tri )
	629	#endif
	630
	631	END SUBROUTINE poisfft_hybrid_omp_vec
	632
	633
	634	SUBROUTINE poisfft_hybrid_nodes ( ar )
	635
	636	USE cpulog
	637	USE interfaces
	638
	639	IMPLICIT NONE
	640
	641	INTEGER, PARAMETER :: istride = 4 ! stride of i loop
	642	INTEGER :: i, iei, ii, iouter, ir, istat, j, jj, k, m, &
	643	n, nn, nt, nw1, nw2
	644
	645	REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar
	646
	647	REAL, DIMENSION(0:nx) :: fftx_ar
	648	REAL, DIMENSION(0:ny,istride) :: ffty_ar
	649
	650	REAL, DIMENSION(0:nx,nz) :: tri_ar
	651
	652	REAL, DIMENSION(nxl_p:nxr_p,nz,tasks_per_logical_node, &
	653	nodes,nys_p:nyn_p) :: work1,work2
	654	REAL, DIMENSION(5,0:nx,0:nz-1) :: tri
	655
	656
	657	CALL cpu_log( log_point_s(30), 'poisfft_hybrid_nodes', 'start' )
	658
	659	CALL cpu_log( log_point_s(7), 'fft_y', 'start' )
	660
	661	!
	662	!-- Store grid points to be transformed on a 1d-array, do the fft
	663	!-- and sample the results on a 4d-array
	664	DO iouter = nxl_p, nxr_p, istride ! stride loop, better cache
	665	iei = MIN( iouter+istride-1, nxr_p )
	666	DO k = 1, nz
	667
	668	DO i = iouter, iei
	669	ii = nxl + i
	670	ir = i - iouter + 1
	671
	672	DO j = nys_a, nyn_a
	673	ffty_ar(j,ir) = ar(k,j,ii)
	674	ENDDO
	675
	676	CALL fft_y( ffty_ar(:,ir), 'forward' )
	677	ENDDO
	678
	679	m = nys_a
	680	DO nn = 1, nodes
	681	DO nt = 1, tasks_per_logical_node
	682	DO j = nys_p, nyn_p
	683	DO i = iouter, iei
	684	ir = i - iouter + 1
	685	work1(i,k,nt,nn,j) = ffty_ar(m,ir)
	686	ENDDO
	687	m = m+1
	688	ENDDO
	689	ENDDO
	690	ENDDO
	691
	692	ENDDO
	693	ENDDO
	694
	695	CALL cpu_log( log_point_s(7), 'fft_y', 'pause' )
	696
	697	CALL cpu_log( log_point_s(32), 'alltoall_task', 'start' )
	698	nw1 = SIZE( work1, 1 ) * SIZE( work1, 2 )
	699	DO nn = 1, nodes
	700	DO j = nys_p, nyn_p
	701	#if defined( __parallel )
	702	CALL MPI_ALLTOALL( work1(nxl_p,1,1,nn,j), nw1, MPI_REAL, &
	703	work2(nxl_p,1,1,nn,j), nw1, MPI_REAL, &
	704	comm_tasks, istat )
	705	#endif
	706	ENDDO
	707	ENDDO
	708	CALL cpu_log( log_point_s(32), 'alltoall_task', 'stop' )
	709
	710
	711	DO j = nys_p, nyn_p
	712
	713	CALL cascade( 1, j, nys_p, nyn_p )
	714	nw2 = nw1 * SIZE( work1, 3 )
	715	CALL cpu_log( log_point_s(37), 'alltoall_node', 'start' )
	716	#if defined( __parallel )
	717	CALL MPI_ALLTOALL( work2(nxl_p,1,1,1,j), nw2, MPI_REAL, &
	718	work1(nxl_p,1,1,1,j), nw2, MPI_REAL, &
	719	comm_nodes, istat )
	720	#endif
	721	CALL cpu_log( log_point_s(37), 'alltoall_node', 'pause' )
	722	CALL cascade( 2, j, nys_p, nyn_p )
	723
	724	CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'start' )
	725	DO k = 1, nz
	726
	727	m = nxl_a
	728	DO nn = 1, nodes
	729	DO nt = 1, tasks_per_logical_node
	730	DO i = nxl_p, nxr_p
	731	fftx_ar(m) = work1(i,k,nt,nn,j)
	732	m = m+1
	733	ENDDO
	734	ENDDO
	735	ENDDO
	736
	737	CALL fft_x( fftx_ar, 'forward' )
	738
	739	DO i = nxl_a, nxr_a
	740	tri_ar(i,k) = fftx_ar(i)
	741	ENDDO
	742
	743	ENDDO
	744
	745	jj = myid * (nyn_p-nys_p+1) + j
	746	CALL tridia_hybrid( jj, tri_ar, tri(:,:,:) )
	747
	748	DO k = 1, nz
	749	DO i = nxl_a, nxr_a
	750	fftx_ar(i) = tri_ar(i,k)
	751	ENDDO
	752
	753	CALL fft_x( fftx_ar, 'backward' )
	754
	755	m = nxl_a
	756	DO nn = 1, nodes
	757	DO nt = 1, tasks_per_logical_node
	758	DO i = nxl_p, nxr_p
	759	work1(i,k,nt,nn,j) = fftx_ar(m)
	760	m = m+1
	761	ENDDO
	762	ENDDO
	763	ENDDO
	764	ENDDO
	765
	766	CALL cpu_log( log_point_s(33), 'fft_x + tridia', 'stop' )
	767	nw2 = nw1 * SIZE( work1, 3 )
	768	CALL cpu_log( log_point_s(37), 'alltoall_node', 'continue' )
	769	#if defined( __parallel )
	770	CALL MPI_ALLTOALL( work1(nxl_p,1,1,1,j), nw2, MPI_REAL, &
	771	work2(nxl_p,1,1,1,j), nw2, MPI_REAL, &
	772	comm_nodes, istat )
	773	#endif
	774	CALL cpu_log( log_point_s(37), 'alltoall_node', 'stop' )
	775
	776	ENDDO
	777
	778	CALL cpu_log( log_point_s(32), 'alltoall_task', 'start' )
	779	DO nn = 1, nodes
	780	DO j = nys_p, nyn_p
	781	#if defined( __parallel )
	782	CALL MPI_ALLTOALL( work2(nxl_p,1,1,nn,j), nw1, MPI_REAL, &
	783	work1(nxl_p,1,1,nn,j), nw1, MPI_REAL, &
	784	comm_tasks, istat )
	785	#endif
	786	ENDDO
	787	ENDDO
	788	CALL cpu_log( log_point_s(32), 'alltoall_task', 'stop' )
	789
	790	CALL cpu_log( log_point_s(7), 'fft_y', 'continue' )
	791
	792	DO iouter = nxl_p, nxr_p, istride
	793	iei = MIN( iouter+istride-1, nxr_p )
	794	DO k = 1, nz
	795
	796	m = nys_a
	797	DO nn = 1, nodes
	798	DO nt = 1, tasks_per_logical_node
	799	DO j = nys_p, nyn_p
	800	DO i = iouter, iei
	801	ir = i - iouter + 1
	802	ffty_ar(m,ir) = work1(i,k,nt,nn,j)
	803	ENDDO
	804	m = m+1
	805	ENDDO
	806	ENDDO
	807	ENDDO
	808
	809	DO i = iouter, iei
	810	ii = nxl + i
	811	ir = i - iouter + 1
	812	CALL fft_y( ffty_ar(:,ir), 'backward' )
	813
	814	DO j = nys_a, nyn_a
	815	ar(k,j,ii) = ffty_ar(j,ir)
	816	ENDDO
	817	ENDDO
	818
	819	ENDDO
	820	ENDDO
	821
	822	CALL cpu_log( log_point_s(7), 'fft_y', 'stop' )
	823
	824	CALL cpu_log( log_point_s(30), 'poisfft_hybrid_nodes', 'stop' )
	825
	826	END SUBROUTINE poisfft_hybrid_nodes
	827
	828
	829
	830	SUBROUTINE tridia_hybrid( j, ar, tri )
	831
	832	USE arrays_3d
	833	USE control_parameters
	834	USE grid_variables
	835
	836	IMPLICIT NONE
	837
	838	INTEGER :: i, j, k, nnyh
	839	REAL, DIMENSION(0:nx,nz) :: ar
	840	REAL, DIMENSION(0:nx,0:nz-1) :: ar1
	841	REAL, DIMENSION(5,0:nx,0:nz-1) :: tri
	842
	843	nnyh = (ny+1) / 2
	844
	845	tri = 0.0
	846	!
	847	!-- Define constant elements of the tridiagonal matrix.
	848	DO k = 0, nz-1
	849	DO i = 0,nx
	850	tri(2,i,k) = ddzu(k+1) * ddzw(k+1)
	851	tri(3,i,k) = ddzu(k+2) * ddzw(k+1)
	852	ENDDO
	853	ENDDO
	854
	855	IF ( j <= nnyh ) THEN
	856	CALL maketri_hybrid( j )
	857	ELSE
	858	CALL maketri_hybrid( ny+1-j)
	859	ENDIF
	860	CALL zerleg_hybrid
	861	CALL substi_hybrid( ar, tri )
	862
	863	CONTAINS
	864
	865	SUBROUTINE maketri_hybrid( j )
	866
	867	!----------------------------------------------------------------------!
	868	! maketri !
	869	! !
	870	! computes the i- and j-dependent component of the matrix !
	871	!----------------------------------------------------------------------!
	872
	873	USE constants
	874
	875	IMPLICIT NONE
	876
	877	INTEGER :: i, j, k, nnxh
	878	REAL :: a, c
	879
	880	REAL, DIMENSION(0:nx) :: l
	881
	882
	883	nnxh = (nx+1) / 2
	884	!
	885	!-- Provide the tridiagonal matrix for solution of the Poisson equation
	886	!-- in Fourier space. The coefficients are computed following the method
	887	!-- of Schmidt et al. (DFVLR-Mitteilung 84-15) --> departs from Stephan
	888	!-- Siano's original version.
	889	DO i = 0,nx
	890	IF ( i >= 0 .AND. i < nnxh ) THEN
	891	l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * i ) / &
	892	FLOAT( nx+1 ) ) ) / ( dx * dx ) + &
	893	2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / &
	894	FLOAT( ny+1 ) ) ) / ( dy * dy )
	895	ELSEIF ( i == nnxh ) THEN
	896	l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * ( nx+1-i ) ) / &
	897	FLOAT( nx+1 ) ) ) / ( dx * dx ) + &
	898	2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / &
	899	FLOAT(ny+1) ) ) / ( dy * dy )
	900	ELSE
	901	l(i) = 2.0 * ( 1.0 - COS( ( 2.0 * pi * ( nx+1-i ) ) / &
	902	FLOAT( nx+1 ) ) ) / ( dx * dx ) + &
	903	2.0 * ( 1.0 - COS( ( 2.0 * pi * j ) / &
	904	FLOAT( ny+1 ) ) ) / ( dy * dy )
	905	ENDIF
	906	ENDDO
	907
	908	DO k = 0,nz-1
	909	DO i = 0, nx
	910	a = -1.0 * ddzu(k+2) * ddzw(k+1)
	911	c = -1.0 * ddzu(k+1) * ddzw(k+1)
	912	tri(1,i,k) = a + c - l(i)
	913	ENDDO
	914	ENDDO
	915	IF ( ibc_p_b == 1 .OR. ibc_p_b == 2 ) THEN
	916	DO i = 0,nx
	917	tri(1,i,0) = tri(1,i,0) + tri(2,i,0)
	918	ENDDO
	919	ENDIF
	920	IF ( ibc_p_t == 1 ) THEN
	921	DO i = 0,nx
	922	tri(1,i,nz-1) = tri(1,i,nz-1) + tri(3,i,nz-1)
	923	ENDDO
	924	ENDIF
	925
	926	END SUBROUTINE maketri_hybrid
	927
	928
	929	SUBROUTINE zerleg_hybrid
	930
	931	!----------------------------------------------------------------------!
	932	! zerleg !
	933	! !
	934	! Splitting of the tridiagonal matrix (Thomas algorithm) !
	935	!----------------------------------------------------------------------!
	936
	937	USE indices
	938
	939	IMPLICIT NONE
	940
	941	INTEGER :: i, k
	942
	943	!
	944	!-- Splitting
	945	DO i = 0, nx
	946	tri(4,i,0) = tri(1,i,0)
	947	ENDDO
	948	DO k = 1, nz-1
	949	DO i = 0,nx
	950	tri(5,i,k) = tri(2,i,k) / tri(4,i,k-1)
	951	tri(4,i,k) = tri(1,i,k) - tri(3,i,k-1) * tri(5,i,k)
	952	ENDDO
	953	ENDDO
	954
	955	END SUBROUTINE zerleg_hybrid
	956
	957	SUBROUTINE substi_hybrid( ar, tri )
	958
	959	!----------------------------------------------------------------------!
	960	! substi !
	961	! !
	962	! Substitution (Forward and Backward) (Thomas algorithm) !
	963	!----------------------------------------------------------------------!
	964
	965	IMPLICIT NONE
	966
	967	INTEGER :: i, j, k
	968	REAL, DIMENSION(0:nx,nz) :: ar
	969	REAL, DIMENSION(0:nx,0:nz-1) :: ar1
	970	REAL, DIMENSION(5,0:nx,0:nz-1) :: tri
	971
	972	!
	973	!-- Forward substitution
	974	DO i = 0, nx
	975	ar1(i,0) = ar(i,1)
	976	ENDDO
	977	DO k = 1, nz - 1
	978	DO i = 0,nx
	979	ar1(i,k) = ar(i,k+1) - tri(5,i,k) * ar1(i,k-1)
	980	ENDDO
	981	ENDDO
	982
	983	!
	984	!-- Backward substitution
	985	DO i = 0,nx
	986	ar(i,nz) = ar1(i,nz-1) / tri(4,i,nz-1)
	987	ENDDO
	988	DO k = nz-2, 0, -1
	989	DO i = 0,nx
	990	ar(i,k+1) = ( ar1(i,k) - tri(3,i,k) * ar(i,k+2) ) &
	991	/ tri(4,i,k)
	992	ENDDO
	993	ENDDO
	994
	995	END SUBROUTINE substi_hybrid
	996
	997	END SUBROUTINE tridia_hybrid
	998
	999
	1000	SUBROUTINE cascade( loca, j, nys_p, nyn_p )
	1001
	1002	USE cpulog
	1003
	1004	IMPLICIT NONE
	1005
	1006	INTEGER :: ier, j, loca, nyn_p, nys_p, req, reqa(1)
	1007	INTEGER, SAVE :: tag = 10
	1008	#if defined( __parallel )
[415]	1009	INTEGER, DIMENSION(MPI_STATUS_SIZE) :: stat
	1010	INTEGER, DIMENSION(MPI_STATUS_SIZE,1) :: stata
[1]	1011	#endif
	1012
	1013	REAL :: buf, buf1
	1014
	1015
	1016	buf = 1.0
	1017	buf1 = 1.1
	1018	IF ( me_node == 0 ) THEN ! first node only
	1019
	1020	SELECT CASE ( loca )
	1021
	1022	CASE ( 1 ) ! before alltoall
	1023
	1024	IF( me_task > 0 ) THEN ! first task does not wait
	1025	#if defined( __parallel )
	1026	CALL MPI_SENDRECV( buf, 1, MPI_REAL, me_task-1, 0, &
	1027	buf1, 1, MPI_REAL, me_task-1, 0, &
[415]	1028	comm_tasks, stat, ierr )
[1]	1029	#endif
	1030	ELSEIF ( j > nys_p ) THEN
	1031	req = 0
	1032	tag = MOD( tag-10, 10 ) + 10
	1033	#if defined( __parallel )
	1034	CALL MPI_IRECV( buf, 1, MPI_REAL, tasks_per_logical_node-1,&
	1035	tag, comm_tasks, req, ierr )
	1036	reqa = req
[415]	1037	CALL MPI_WAITALL( 1, reqa, stata, ierr )
[1]	1038	#endif
	1039	ENDIF
	1040
	1041	CASE ( 2 ) ! after alltoall
	1042
	1043	IF ( me_task < tasks_per_logical_node-1 ) THEN ! last task
	1044	#if defined( __parallel )
	1045	CALL MPI_SENDRECV( buf, 1, MPI_REAL, me_task+1, 0, &
	1046	buf1, 1, MPI_REAL, me_task+1, 0, &
	1047	comm_tasks, stat, ierr)
	1048	#endif
	1049	ELSEIF ( j < nyn_p ) THEN
	1050	req = 0
	1051	tag = MOD( tag-10, 10 ) + 10
	1052	#if defined( __parallel )
	1053	CALL MPI_ISEND( buf, 1, MPI_REAL, 0, tag, comm_tasks, req, &
	1054	ierr )
	1055	#endif
	1056	ENDIF
	1057
	1058	END SELECT
	1059
	1060	ENDIF
	1061
	1062	END SUBROUTINE cascade
	1063
	1064	END MODULE poisfft_hybrid_mod

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