MODULE poisfft_mod !--------------------------------------------------------------------------------! ! This file is part of PALM. ! ! PALM is free software: you can redistribute it and/or modify it under the terms ! of the GNU General Public License as published by the Free Software Foundation, ! either version 3 of the License, or (at your option) any later version. ! ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. ! ! You should have received a copy of the GNU General Public License along with ! PALM. If not, see . ! ! Copyright 1997-2012 Leibniz University Hannover !--------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: poisfft.f90 1217 2013-08-26 11:30:05Z kanani $ ! ! 1216 2013-08-26 09:31:42Z raasch ! resorting of arrays moved to separate routines resort_for_..., ! one argument, used as temporary work array, removed from all transpose ! routines ! overlapping fft / transposition implemented ! ! 1212 2013-08-15 08:46:27Z raasch ! tridia routines moved to seperate module tridia_solver ! ! 1208 2013-08-13 06:41:49Z raasch ! acc-update clauses added for "ar" so that ffts other than cufft can also be ! used (although they are not ported and will give a poor performance) ! ! 1111 2013-03-08 23:54:10Z raasch ! further openACC porting of non-parallel (MPI) branch: ! tridiagonal routines split into extermal subroutines (instead using CONTAINS), ! no distinction between parallel/non-parallel in poisfft and tridia any more, ! tridia routines moved to end of file because of probable bug in PGI compiler 12.5 ! (otherwise "invalid device function" is indicated during runtime), ! optimization of tridia routines: constant elements and coefficients of tri are ! stored in seperate arrays ddzuw and tric, last dimension of tri reduced from 5 ! to 2, ! poisfft_init is now called internally from poisfft, maketri is called from ! poisfft_init, ! ibc_p_b = 2 removed ! ! 1106 2013-03-04 05:31:38Z raasch ! routines fftx, ffty, fftxp, fftyp removed, calls replaced by fft_x, fft_y, ! in the 1D-decomposition routines fft_x, ffty are replaced by fft_x_1d, ! fft_y_1d ! ! 1103 2013-02-20 02:15:53Z raasch ! tri, ar, and ar1 arguments in tridia-routines (2d) are removed because they ! sometimes cause segmentation faults with intel 12.1 compiler ! ! 1092 2013-02-02 11:24:22Z raasch ! unused variables removed ! ! 1036 2012-10-22 13:43:42Z raasch ! code put under GPL (PALM 3.9) ! ! 2012-09-21 07:03:55Z raasch ! FLOAT type conversion replaced by REAL ! ! 1003 2012-09-14 14:35:53Z raasch ! indices nxa, nya, etc. replaced by nx, ny, etc. ! ! 940 2012-07-09 14:31:00Z raasch ! special handling of tri-array as an argument in tridia_1dd routines switched ! off because it caused segmentation faults with intel 12.1 compiler ! ! 877 2012-04-03 11:21:44Z suehring ! Bugfix: Avoid divisions by zero in case of using a 'neumann' bc for the ! pressure at the top of the model domain. ! ! 809 2012-01-30 13:32:58Z maronga ! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives ! ! 807 2012-01-25 11:53:51Z maronga ! New cpp directive "__check" implemented which is used by check_namelist_files ! (most of the code is unneeded by check_namelist_files). ! ! 763 2011-10-06 09:32:09Z suehring ! Comment added concerning the last change. ! ! 761 2011-10-05 17:58:52Z suehring ! Bugfix: Avoid divisions by zero in case of using a 'neumann' bc for the ! pressure at the top of the model domain. ! ! 696 2011-03-18 07:03:49Z raasch ! work_fftx removed from PRIVATE clauses in fftx_tr_xy and tr_yx_fftx ! ! 683 2011-02-09 14:25:15Z raasch ! openMP parallelization for 2d-domain-decomposition ! ! 667 2010-12-23 12:06:00Z suehring/gryschka ! ddzu replaced by ddzu_pres due to changes in zu(0) ! ! 622 2010-12-10 08:08:13Z raasch ! optional barriers included in order to speed up collective operations ! ! 377 2009-09-04 11:09:00Z raasch ! __lcmuk changed to __lc to avoid problems with Intel compiler on sgi-ice ! ! 164 2008-05-15 08:46:15Z raasch ! Arguments removed from transpose routines ! ! 128 2007-10-26 13:11:14Z raasch ! Bugfix: wavenumber calculation for even nx in routines maketri ! ! 85 2007-05-11 09:35:14Z raasch ! Bugfix: work_fft*_vec removed from some PRIVATE-declarations ! ! 76 2007-03-29 00:58:32Z raasch ! Tridiagonal coefficients adjusted for Neumann boundary conditions both at ! the bottom and the top. ! ! RCS Log replace by Id keyword, revision history cleaned up ! ! Revision 1.24 2006/08/04 15:00:24 raasch ! Default setting of the thread number tn in case of not using OpenMP ! ! Revision 1.23 2006/02/23 12:48:38 raasch ! Additional compiler directive in routine tridia_1dd for preventing loop ! exchange on NEC-SX6 ! ! Revision 1.20 2004/04/30 12:38:09 raasch ! Parts of former poisfft_hybrid moved to this subroutine, ! former subroutine changed to a module, renaming of FFT-subroutines and ! -module, FFTs completely substituted by calls of fft_x and fft_y, ! NAG fft used in the non-parallel case completely removed, l in maketri ! is now a 1d-array, variables passed by modules instead of using parameter ! lists, enlarged transposition arrays introduced ! ! Revision 1.1 1997/07/24 11:24:14 raasch ! Initial revision ! ! ! Description: ! ------------ ! See below. !------------------------------------------------------------------------------! !--------------------------------------------------------------------------! ! poisfft ! ! ! ! Original version: Stephan Siano (pois3d) ! ! ! ! Institute of Meteorology and Climatology, University of Hannover ! ! Germany ! ! ! ! Version as of July 23,1996 ! ! ! ! ! ! Version for parallel computers: Siegfried Raasch ! ! ! ! Version as of July 03,1997 ! ! ! ! Solves the Poisson equation with a 2D spectral method ! ! d^2 p / dx^2 + d^2 p / dy^2 + d^2 p / dz^2 = s ! ! ! ! Input: ! ! real ar contains in the (nnx,nny,nnz) elements, ! ! starting from the element (1,nys,nxl), the ! ! values for s ! ! real work Temporary array ! ! ! ! Output: ! ! real ar contains the solution for p ! !--------------------------------------------------------------------------! USE fft_xy USE indices USE transpose_indices USE tridia_solver IMPLICIT NONE LOGICAL, SAVE :: poisfft_initialized = .FALSE. PRIVATE #if ! defined ( __check ) PUBLIC poisfft, poisfft_init INTERFACE poisfft MODULE PROCEDURE poisfft END INTERFACE poisfft INTERFACE poisfft_init MODULE PROCEDURE poisfft_init END INTERFACE poisfft_init #else PUBLIC poisfft_init INTERFACE poisfft_init MODULE PROCEDURE poisfft_init END INTERFACE poisfft_init #endif CONTAINS SUBROUTINE poisfft_init USE arrays_3d, ONLY: ddzu_pres, ddzw IMPLICIT NONE INTEGER :: k CALL fft_init CALL tridia_init poisfft_initialized = .TRUE. END SUBROUTINE poisfft_init #if ! defined ( __check ) SUBROUTINE poisfft( ar, ar_inv_test ) USE control_parameters, ONLY : fft_method, transpose_compute_overlap USE cpulog USE interfaces USE pegrid IMPLICIT NONE INTEGER :: ind_even, ind_odd, ind_third, ii, iind, inew, jj, jind, & jnew, ki, kk, knew, n, nblk, nnx_y, nny_z, nnz_t, nnz_x, & nxl_y_bound, nxr_y_bound INTEGER, DIMENSION(4) :: isave REAL, DIMENSION(1:nz,nys:nyn,nxl:nxr) :: ar REAL, DIMENSION(nys:nyn,nxl:nxr,1:nz) :: ar_inv_test ! work array tend from pres !$acc declare create( ar_inv ) REAL, DIMENSION(nys:nyn,nxl:nxr,1:nz) :: ar_inv REAL, DIMENSION(:,:,:), ALLOCATABLE :: f_in, f_inv, f_out_y, f_out_z REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: ar1 CALL cpu_log( log_point_s(3), 'poisfft', 'start' ) IF ( .NOT. poisfft_initialized ) CALL poisfft_init ! !-- Two-dimensional Fourier Transformation in x- and y-direction. IF ( pdims(2) == 1 .AND. pdims(1) > 1 ) THEN ! !-- 1d-domain-decomposition along x: !-- FFT along y and transposition y --> x CALL ffty_tr_yx( ar, ar ) ! !-- FFT along x, solving the tridiagonal system and backward FFT CALL fftx_tri_fftx( ar ) ! !-- Transposition x --> y and backward FFT along y CALL tr_xy_ffty( ar, ar ) ELSEIF ( pdims(1) == 1 .AND. pdims(2) > 1 ) THEN ! !-- 1d-domain-decomposition along y: !-- FFT along x and transposition x --> y CALL fftx_tr_xy( ar, ar ) ! !-- FFT along y, solving the tridiagonal system and backward FFT CALL ffty_tri_ffty( ar ) ! !-- Transposition y --> x and backward FFT along x CALL tr_yx_fftx( ar, ar ) ELSEIF ( .NOT. transpose_compute_overlap ) THEN ! !-- 2d-domain-decomposition or no decomposition (1 PE run) !-- Transposition z --> x CALL cpu_log( log_point_s(5), 'transpo forward', 'start' ) CALL resort_for_zx( ar, ar_inv ) CALL transpose_zx( ar_inv, ar ) CALL cpu_log( log_point_s(5), 'transpo forward', 'pause' ) CALL cpu_log( log_point_s(4), 'fft_x', 'start' ) IF ( fft_method /= 'system-specific' ) THEN !$acc update host( ar ) ENDIF CALL fft_x( ar, 'forward' ) IF ( fft_method /= 'system-specific' ) THEN !$acc update device( ar ) ENDIF CALL cpu_log( log_point_s(4), 'fft_x', 'pause' ) ! !-- Transposition x --> y CALL cpu_log( log_point_s(5), 'transpo forward', 'continue' ) CALL resort_for_xy( ar, ar_inv ) CALL transpose_xy( ar_inv, ar ) CALL cpu_log( log_point_s(5), 'transpo forward', 'pause' ) CALL cpu_log( log_point_s(7), 'fft_y', 'start' ) IF ( fft_method /= 'system-specific' ) THEN !$acc update host( ar ) ENDIF CALL fft_y( ar, 'forward', ar_tr = ar, & nxl_y_bound = nxl_y, nxr_y_bound = nxr_y, & nxl_y_l = nxl_y, nxr_y_l = nxr_y ) IF ( fft_method /= 'system-specific' ) THEN !$acc update device( ar ) ENDIF CALL cpu_log( log_point_s(7), 'fft_y', 'pause' ) ! !-- Transposition y --> z CALL cpu_log( log_point_s(5), 'transpo forward', 'continue' ) CALL resort_for_yz( ar, ar_inv ) CALL transpose_yz( ar_inv, ar ) CALL cpu_log( log_point_s(5), 'transpo forward', 'stop' ) ! !-- Solve the tridiagonal equation system along z CALL cpu_log( log_point_s(6), 'tridia', 'start' ) CALL tridia_substi( ar ) CALL cpu_log( log_point_s(6), 'tridia', 'stop' ) ! !-- Inverse Fourier Transformation !-- Transposition z --> y CALL cpu_log( log_point_s(8), 'transpo invers', 'start' ) CALL transpose_zy( ar, ar_inv ) CALL resort_for_zy( ar_inv, ar ) CALL cpu_log( log_point_s(8), 'transpo invers', 'pause' ) CALL cpu_log( log_point_s(7), 'fft_y', 'continue' ) IF ( fft_method /= 'system-specific' ) THEN !$acc update host( ar ) ENDIF CALL fft_y( ar, 'backward', ar_tr = ar, & nxl_y_bound = nxl_y, nxr_y_bound = nxr_y, & nxl_y_l = nxl_y, nxr_y_l = nxr_y ) IF ( fft_method /= 'system-specific' ) THEN !$acc update device( ar ) ENDIF CALL cpu_log( log_point_s(7), 'fft_y', 'stop' ) ! !-- Transposition y --> x CALL cpu_log( log_point_s(8), 'transpo invers', 'continue' ) CALL transpose_yx( ar, ar_inv ) CALL resort_for_yx( ar_inv, ar ) CALL cpu_log( log_point_s(8), 'transpo invers', 'pause' ) CALL cpu_log( log_point_s(4), 'fft_x', 'continue' ) IF ( fft_method /= 'system-specific' ) THEN !$acc update host( ar ) ENDIF CALL fft_x( ar, 'backward' ) IF ( fft_method /= 'system-specific' ) THEN !$acc update device( ar ) ENDIF CALL cpu_log( log_point_s(4), 'fft_x', 'stop' ) ! !-- Transposition x --> z CALL cpu_log( log_point_s(8), 'transpo invers', 'continue' ) CALL transpose_xz( ar, ar_inv ) CALL resort_for_xz( ar_inv, ar ) CALL cpu_log( log_point_s(8), 'transpo invers', 'stop' ) ELSE ! !-- 2d-domain-decomposition or no decomposition (1 PE run) with !-- overlapping transposition / fft ALLOCATE( f_out_y(0:ny,nxl_y:nxr_y,nzb_y:nzt_y), & f_out_z(0:nx,nys_x:nyn_x,nzb_x:nzt_x) ) ! !-- Transposition z --> x + subsequent fft along x ALLOCATE( f_inv(nys:nyn,nxl:nxr,1:nz) ) CALL resort_for_zx( ar, f_inv ) ! !-- Save original indices and gridpoint counter isave(1) = nz isave(2) = nzb_x isave(3) = nzt_x isave(4) = sendrecvcount_zx ! !-- Set new indices for transformation nblk = nz / pdims(1) nz = pdims(1) nnz_x = 1 nzb_x = 1 + myidx * nnz_x nzt_x = ( myidx + 1 ) * nnz_x sendrecvcount_zx = nnx * nny * nnz_x ALLOCATE( ar1(0:nx,nys_x:nyn_x,nzb_x:nzt_x,2) ) ALLOCATE( f_in(nys:nyn,nxl:nxr,1:nz) ) DO kk = 1, nblk+1 ind_odd = MOD( kk, 2 ) + 1 ind_even = MOD( kk+1, 2 ) + 1 !$OMP sections private(ki,knew,n) !$OMP section IF ( kk <= nblk ) THEN IF ( kk == 1 ) THEN CALL cpu_log( log_point_s(5), 'transpo forward', 'start' ) ELSE CALL cpu_log( log_point_s(5), 'transpo forward', 'continue' ) ENDIF DO knew = 1, nz ki = kk + nblk * ( knew - 1 ) f_in(:,:,knew) = f_inv(:,:,ki) ENDDO CALL transpose_zx( f_in, ar1(:,:,:,ind_odd)) CALL cpu_log( log_point_s(5), 'transpo forward', 'pause' ) ENDIF !$OMP section IF ( kk >= 2 ) THEN IF ( kk == 2 ) THEN CALL cpu_log( log_point_s(4), 'fft_x', 'start' ) ELSE CALL cpu_log( log_point_s(4), 'fft_x', 'continue' ) ENDIF n = isave(2) + kk - 2 CALL fft_x( ar1(:,:,:,ind_even), 'forward', ar_2d = f_out_z(:,:,n)) CALL cpu_log( log_point_s(4), 'fft_x', 'pause' ) ENDIF !$OMP end sections ENDDO ! !-- Restore original indices/counters nz = isave(1) nzb_x = isave(2) nzt_x = isave(3) sendrecvcount_zx = isave(4) DEALLOCATE( ar1, f_in, f_inv ) ! !-- Transposition x --> y + subsequent fft along y ALLOCATE( f_inv(nys_x:nyn_x,nzb_x:nzt_x,0:nx) ) CALL resort_for_xy( f_out_z, f_inv ) ! !-- Save original indices and gridpoint counter isave(1) = nx isave(2) = nxl_y isave(3) = nxr_y isave(4) = sendrecvcount_xy ! !-- Set new indices for transformation nblk = ( ( nx+1 ) / pdims(2) ) - 1 nx = pdims(2) nnx_y = 1 nxl_y = myidy * nnx_y nxr_y = ( myidy + 1 ) * nnx_y - 1 sendrecvcount_xy = nnx_y * ( nyn_x-nys_x+1 ) * ( nzt_x-nzb_x+1 ) ALLOCATE( ar1(0:ny,nxl_y:nxr_y,nzb_y:nzt_y,2) ) ALLOCATE( f_in(nys_x:nyn_x,nzb_x:nzt_x,0:nx) ) DO ii = 0, nblk+1 ind_odd = MOD( ii+1, 2 ) + 1 ind_even = MOD( ii+2, 2 ) + 1 !$OMP sections private(ki,knew,n) !$OMP section IF ( ii <= nblk ) THEN CALL cpu_log( log_point_s(5), 'transpo forward', 'continue' ) DO inew = 0, nx-1 iind = ii + ( nblk + 1 ) * inew f_in(:,:,inew) = f_inv(:,:,iind) ENDDO CALL transpose_xy( f_in, ar1(:,:,:,ind_odd) ) CALL cpu_log( log_point_s(5), 'transpo forward', 'pause' ) ENDIF !$OMP section IF ( ii >= 1 ) THEN IF ( ii == 1 ) THEN CALL cpu_log( log_point_s(7), 'fft_y', 'start' ) ELSE CALL cpu_log( log_point_s(7), 'fft_y', 'continue' ) ENDIF nxl_y_bound = isave(2) nxr_y_bound = isave(3) n = isave(2) + ii - 1 ! CALL fft_y( ar1(:,:,:,ind_even), 'forward', ar_3d = f_out_y, & ! ni = n ) CALL fft_y( ar1(:,:,:,ind_even), 'forward', ar_tr = f_out_y, & nxl_y_bound = nxl_y_bound, nxr_y_bound = nxr_y_bound, & nxl_y_l = n, nxr_y_l = n ) CALL cpu_log( log_point_s(7), 'fft_y', 'pause' ) ENDIF !$OMP end sections ENDDO ! !-- Restore original indices/counters nx = isave(1) nxl_y = isave(2) nxr_y = isave(3) sendrecvcount_xy = isave(4) DEALLOCATE( ar1, f_in, f_inv ) ! !-- Transposition y --> z + subsequent tridia + resort for z --> y ALLOCATE( f_inv(nxl_y:nxr_y,nzb_y:nzt_y,0:ny) ) CALL resort_for_yz( f_out_y, f_inv ) ! !-- Save original indices and gridpoint counter isave(1) = ny isave(2) = nys_z isave(3) = nyn_z isave(4) = sendrecvcount_yz ! !-- Set new indices for transformation nblk = ( ( ny+1 ) / pdims(1) ) - 1 ny = pdims(1) nny_z = 1 nys_z = myidx * nny_z nyn_z = ( myidx + 1 ) * nny_z - 1 sendrecvcount_yz = ( nxr_y-nxl_y+1 ) * nny_z * ( nzt_y-nzb_y+1 ) ALLOCATE( ar1(nxl_z:nxr_z,nys_z:nyn_z,1:nz,3) ) ALLOCATE( f_in(nxl_y:nxr_y,nzb_y:nzt_y,0:ny) ) DO jj = 0, nblk+2 ind_odd = MOD( jj+3, 3 ) + 1 ind_even = MOD( jj+2, 3 ) + 1 ind_third = MOD( jj+1, 3 ) + 1 !$OMP sections private(ki,knew,n) !$OMP section IF ( jj <= nblk ) THEN ! !-- Forward Fourier Transformation !-- Transposition y --> z CALL cpu_log( log_point_s(5), 'transpo forward', 'continue' ) DO jnew = 0, ny-1 jind = jj + ( nblk + 1 ) * jnew f_in(:,:,jnew) =f_inv(:,:,jind) ENDDO CALL transpose_yz( f_in, ar1(:,:,:,ind_odd) ) IF ( jj == nblk ) THEN CALL cpu_log( log_point_s(5), 'transpo forward', 'stop' ) ELSE CALL cpu_log( log_point_s(5), 'transpo forward', 'pause' ) ENDIF ENDIF IF ( jj >= 2 ) THEN ! !-- Inverse Fourier Transformation !-- Transposition z --> y !-- Only one thread should call MPI routines, therefore forward and !-- backward tranpose are in the same section IF ( jj == 2 ) THEN CALL cpu_log( log_point_s(8), 'transpo invers', 'start' ) ELSE CALL cpu_log( log_point_s(8), 'transpo invers', 'continue' ) ENDIF CALL transpose_zy( ar1(:,:,:,ind_third), f_in ) DO jnew = 0, ny-1 jind = jj-2 + ( nblk + 1 ) * jnew f_inv(:,:,jind) = f_in(:,:,jnew) ENDDO CALL cpu_log( log_point_s(8), 'transpo invers', 'pause' ) ENDIF !$OMP section IF ( jj >= 1 .AND. jj <= nblk+1 ) THEN ! !-- Solve the tridiagonal equation system along z CALL cpu_log( log_point_s(6), 'tridia', 'start' ) n = isave(2) + jj - 1 CALL tridia_substi_overlap( ar1(:,:,:,ind_even), n ) CALL cpu_log( log_point_s(6), 'tridia', 'stop' ) ENDIF !$OMP end sections ENDDO ! !-- Restore original indices/counters ny = isave(1) nys_z = isave(2) nyn_z = isave(3) sendrecvcount_yz = isave(4) CALL resort_for_zy( f_inv, f_out_y ) DEALLOCATE( ar1, f_in, f_inv ) ! !-- fft along y backward + subsequent transposition y --> x ALLOCATE( f_inv(nys_x:nyn_x,nzb_x:nzt_x,0:nx) ) ! !-- Save original indices and gridpoint counter isave(1) = nx isave(2) = nxl_y isave(3) = nxr_y isave(4) = sendrecvcount_xy ! !-- Set new indices for transformation nblk = (( nx+1 ) / pdims(2) ) - 1 nx = pdims(2) nnx_y = 1 nxl_y = myidy * nnx_y nxr_y = ( myidy + 1 ) * nnx_y - 1 sendrecvcount_xy = nnx_y * ( nyn_x-nys_x+1 ) * ( nzt_x-nzb_x+1 ) ALLOCATE( ar1(0:ny,nxl_y:nxr_y,nzb_y:nzt_y,2) ) ALLOCATE( f_in(nys_x:nyn_x,nzb_x:nzt_x,0:nx) ) DO ii = 0, nblk+1 ind_odd = MOD( ii+1, 2 ) + 1 ind_even = MOD( ii+2, 2 ) + 1 !$OMP sections private(ki,knew,n) !$OMP section IF ( ii <= nblk ) THEN CALL cpu_log( log_point_s(7), 'fft_y', 'continue' ) n = isave(2) + ii nxl_y_bound = isave(2) nxr_y_bound = isave(3) ! CALL fft_y( ar1(:,:,:,ind_even), 'backward', ar_3d = f_out_y, & ! ni = n ) CALL fft_y( ar1(:,:,:,ind_even), 'backward', ar_tr = f_out_y, & nxl_y_bound = nxl_y_bound, nxr_y_bound = nxr_y_bound, & nxl_y_l = n, nxr_y_l = n ) IF ( ii == nblk ) THEN CALL cpu_log( log_point_s(7), 'fft_y', 'stop' ) ELSE CALL cpu_log( log_point_s(7), 'fft_y', 'pause' ) ENDIF ENDIF !$OMP section IF ( ii >= 1 ) THEN CALL cpu_log( log_point_s(8), 'transpo invers', 'continue' ) CALL transpose_yx( ar1(:,:,:,ind_odd), f_in ) DO inew = 0, nx-1 iind = ii-1 + (nblk+1) * inew f_inv(:,:,iind) = f_in(:,:,inew) ENDDO CALL cpu_log( log_point_s(8), 'transpo invers', 'pause' ) ENDIF !$OMP end sections ENDDO ! !-- Restore original indices/counters nx = isave(1) nxl_y = isave(2) nxr_y = isave(3) sendrecvcount_xy = isave(4) CALL resort_for_yx( f_inv, f_out_z ) DEALLOCATE( ar1, f_in, f_inv ) ! !-- fft along x backward + subsequent final transposition x --> z ALLOCATE( f_inv(nys:nyn,nxl:nxr,1:nz) ) ! !-- Save original indices and gridpoint counter isave(1) = nz isave(2) = nzb_x isave(3) = nzt_x isave(4) = sendrecvcount_zx ! !-- Set new indices for transformation nblk = nz / pdims(1) nz = pdims(1) nnz_x = 1 nzb_x = 1 + myidx * nnz_x nzt_x = ( myidx + 1 ) * nnz_x sendrecvcount_zx = nnx * nny * nnz_x ALLOCATE( ar1(0:nx,nys_x:nyn_x,nzb_x:nzt_x,2) ) ALLOCATE( f_in(nys:nyn,nxl:nxr,1:nz) ) DO kk = 1, nblk+1 ind_odd = MOD( kk, 2 ) + 1 ind_even = MOD( kk+1, 2 ) + 1 !$OMP sections private(ki,knew,n) !$OMP section IF ( kk <= nblk ) THEN CALL cpu_log( log_point_s(4), 'fft_x', 'continue' ) n = isave(2) + kk - 1 CALL fft_x( ar1(:,:,:,ind_even), 'backward', f_out_z(:,:,n)) IF ( kk == nblk ) THEN CALL cpu_log( log_point_s(4), 'fft_x', 'stop' ) ELSE CALL cpu_log( log_point_s(4), 'fft_x', 'pause' ) ENDIF ENDIF !$OMP section IF ( kk >= 2 ) THEN CALL cpu_log( log_point_s(8), 'transpo invers', 'continue' ) CALL transpose_xz( ar1(:,:,:,ind_odd), f_in ) DO knew = 1, nz ki = kk-1 + nblk * (knew-1) f_inv(:,:,ki) = f_in(:,:,knew) ENDDO IF ( kk == nblk+1 ) THEN CALL cpu_log( log_point_s(8), 'transpo invers', 'stop' ) ELSE CALL cpu_log( log_point_s(8), 'transpo invers', 'pause' ) ENDIF ENDIF !$OMP end sections ENDDO ! !-- Restore original indices/counters nz = isave(1) nzb_x = isave(2) nzt_x = isave(3) sendrecvcount_zx = isave(4) CALL resort_for_xz( f_inv, ar ) DEALLOCATE( ar1, f_in, f_inv ) ENDIF CALL cpu_log( log_point_s(3), 'poisfft', 'stop' ) END SUBROUTINE poisfft SUBROUTINE ffty_tr_yx( f_in, f_out ) !------------------------------------------------------------------------------! ! Fourier-transformation along y with subsequent transposition y --> x for ! a 1d-decomposition along x ! ! ATTENTION: The performance of this routine is much faster on the NEC-SX6, ! if the first index of work_ffty_vec is odd. Otherwise ! memory bank conflicts may occur (especially if the index is a ! multiple of 128). That's why work_ffty_vec is dimensioned as ! 0:ny+1. ! Of course, this will not work if users are using an odd number ! of gridpoints along y. !------------------------------------------------------------------------------! USE control_parameters USE cpulog USE indices USE interfaces USE pegrid USE transpose_indices IMPLICIT NONE INTEGER :: i, iend, iouter, ir, j, k INTEGER, PARAMETER :: stridex = 4 REAL, DIMENSION(0:ny,stridex) :: work_ffty #if defined( __nec ) REAL, DIMENSION(0:ny+1,1:nz,nxl:nxr) :: work_ffty_vec #endif REAL, DIMENSION(1:nz,0:ny,nxl:nxr) :: f_in REAL, DIMENSION(nnx,1:nz,nys_x:nyn_x,pdims(1)) :: f_out REAL, DIMENSION(nxl:nxr,1:nz,0:ny) :: work ! !-- Carry out the FFT along y, where all data are present due to the !-- 1d-decomposition along x. Resort the data in a way that x becomes !-- the first index. CALL cpu_log( log_point_s(7), 'fft_y_1d', 'start' ) IF ( host(1:3) == 'nec' ) THEN #if defined( __nec ) ! !-- Code optimized for vector processors !$OMP PARALLEL PRIVATE ( i, j, k ) !$OMP DO DO i = nxl, nxr DO j = 0, ny DO k = 1, nz work_ffty_vec(j,k,i) = f_in(k,j,i) ENDDO ENDDO CALL fft_y_m( work_ffty_vec(:,:,i), ny+1, 'forward' ) ENDDO !$OMP DO DO k = 1, nz DO j = 0, ny DO i = nxl, nxr work(i,k,j) = work_ffty_vec(j,k,i) ENDDO ENDDO ENDDO !$OMP END PARALLEL #endif ELSE ! !-- Cache optimized code. !-- The i-(x-)direction is split into a strided outer loop and an inner !-- loop for better cache performance !$OMP PARALLEL PRIVATE (i,iend,iouter,ir,j,k,work_ffty) !$OMP DO DO iouter = nxl, nxr, stridex iend = MIN( iouter+stridex-1, nxr ) ! Upper bound for inner i loop DO k = 1, nz DO i = iouter, iend ir = i-iouter+1 ! counter within a stride DO j = 0, ny work_ffty(j,ir) = f_in(k,j,i) ENDDO ! !-- FFT along y CALL fft_y_1d( work_ffty(:,ir), 'forward' ) ENDDO ! !-- Resort DO j = 0, ny DO i = iouter, iend work(i,k,j) = work_ffty(j,i-iouter+1) ENDDO ENDDO ENDDO ENDDO !$OMP END PARALLEL ENDIF CALL cpu_log( log_point_s(7), 'fft_y_1d', 'pause' ) ! !-- Transpose array #if defined( __parallel ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLTOALL( work(nxl,1,0), sendrecvcount_xy, MPI_REAL, & f_out(1,1,nys_x,1), sendrecvcount_xy, MPI_REAL, & comm1dx, ierr ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) #endif END SUBROUTINE ffty_tr_yx SUBROUTINE tr_xy_ffty( f_in, f_out ) !------------------------------------------------------------------------------! ! Transposition x --> y with a subsequent backward Fourier transformation for ! a 1d-decomposition along x !------------------------------------------------------------------------------! USE control_parameters USE cpulog USE indices USE interfaces USE pegrid USE transpose_indices IMPLICIT NONE INTEGER :: i, iend, iouter, ir, j, k INTEGER, PARAMETER :: stridex = 4 REAL, DIMENSION(0:ny,stridex) :: work_ffty #if defined( __nec ) REAL, DIMENSION(0:ny+1,1:nz,nxl:nxr) :: work_ffty_vec #endif REAL, DIMENSION(nnx,1:nz,nys_x:nyn_x,pdims(1)) :: f_in REAL, DIMENSION(1:nz,0:ny,nxl:nxr) :: f_out REAL, DIMENSION(nxl:nxr,1:nz,0:ny) :: work ! !-- Transpose array #if defined( __parallel ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLTOALL( f_in(1,1,nys_x,1), sendrecvcount_xy, MPI_REAL, & work(nxl,1,0), sendrecvcount_xy, MPI_REAL, & comm1dx, ierr ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) #endif ! !-- Resort the data in a way that y becomes the first index and carry out the !-- backward fft along y. CALL cpu_log( log_point_s(7), 'fft_y_1d', 'continue' ) IF ( host(1:3) == 'nec' ) THEN #if defined( __nec ) ! !-- Code optimized for vector processors !$OMP PARALLEL PRIVATE ( i, j, k ) !$OMP DO DO k = 1, nz DO j = 0, ny DO i = nxl, nxr work_ffty_vec(j,k,i) = work(i,k,j) ENDDO ENDDO ENDDO !$OMP DO DO i = nxl, nxr CALL fft_y_m( work_ffty_vec(:,:,i), ny+1, 'backward' ) DO j = 0, ny DO k = 1, nz f_out(k,j,i) = work_ffty_vec(j,k,i) ENDDO ENDDO ENDDO !$OMP END PARALLEL #endif ELSE ! !-- Cache optimized code. !-- The i-(x-)direction is split into a strided outer loop and an inner !-- loop for better cache performance !$OMP PARALLEL PRIVATE ( i, iend, iouter, ir, j, k, work_ffty ) !$OMP DO DO iouter = nxl, nxr, stridex iend = MIN( iouter+stridex-1, nxr ) ! Upper bound for inner i loop DO k = 1, nz ! !-- Resort DO j = 0, ny DO i = iouter, iend work_ffty(j,i-iouter+1) = work(i,k,j) ENDDO ENDDO DO i = iouter, iend ! !-- FFT along y ir = i-iouter+1 ! counter within a stride CALL fft_y_1d( work_ffty(:,ir), 'backward' ) DO j = 0, ny f_out(k,j,i) = work_ffty(j,ir) ENDDO ENDDO ENDDO ENDDO !$OMP END PARALLEL ENDIF CALL cpu_log( log_point_s(7), 'fft_y_1d', 'stop' ) END SUBROUTINE tr_xy_ffty SUBROUTINE fftx_tri_fftx( ar ) !------------------------------------------------------------------------------! ! FFT along x, solution of the tridiagonal system and backward FFT for ! a 1d-decomposition along x ! ! WARNING: this subroutine may still not work for hybrid parallelization ! with OpenMP (for possible necessary changes see the original ! routine poisfft_hybrid, developed by Klaus Ketelsen, May 2002) !------------------------------------------------------------------------------! USE control_parameters USE cpulog USE grid_variables USE indices USE interfaces USE pegrid USE transpose_indices IMPLICIT NONE INTEGER :: i, j, k, m, n, omp_get_thread_num, tn REAL, DIMENSION(0:nx) :: work_fftx REAL, DIMENSION(0:nx,1:nz) :: work_trix REAL, DIMENSION(nnx,1:nz,nys_x:nyn_x,pdims(1)) :: ar REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri CALL cpu_log( log_point_s(33), 'fft_x_1d + tridia', 'start' ) ALLOCATE( tri(5,0:nx,0:nz-1,0:threads_per_task-1) ) tn = 0 ! Default thread number in case of one thread !$OMP PARALLEL DO PRIVATE ( i, j, k, m, n, tn, work_fftx, work_trix ) DO j = nys_x, nyn_x !$ tn = omp_get_thread_num() IF ( host(1:3) == 'nec' ) THEN ! !-- Code optimized for vector processors DO k = 1, nz m = 0 DO n = 1, pdims(1) DO i = 1, nnx work_trix(m,k) = ar(i,k,j,n) m = m + 1 ENDDO ENDDO ENDDO CALL fft_x_m( work_trix, 'forward' ) ELSE ! !-- Cache optimized code DO k = 1, nz m = 0 DO n = 1, pdims(1) DO i = 1, nnx work_fftx(m) = ar(i,k,j,n) m = m + 1 ENDDO ENDDO CALL fft_x_1d( work_fftx, 'forward' ) DO i = 0, nx work_trix(i,k) = work_fftx(i) ENDDO ENDDO ENDIF ! !-- Solve the linear equation system CALL tridia_1dd( ddx2, ddy2, nx, ny, j, work_trix, tri(:,:,:,tn) ) IF ( host(1:3) == 'nec' ) THEN ! !-- Code optimized for vector processors CALL fft_x_m( work_trix, 'backward' ) DO k = 1, nz m = 0 DO n = 1, pdims(1) DO i = 1, nnx ar(i,k,j,n) = work_trix(m,k) m = m + 1 ENDDO ENDDO ENDDO ELSE ! !-- Cache optimized code DO k = 1, nz DO i = 0, nx work_fftx(i) = work_trix(i,k) ENDDO CALL fft_x_1d( work_fftx, 'backward' ) m = 0 DO n = 1, pdims(1) DO i = 1, nnx ar(i,k,j,n) = work_fftx(m) m = m + 1 ENDDO ENDDO ENDDO ENDIF ENDDO DEALLOCATE( tri ) CALL cpu_log( log_point_s(33), 'fft_x_1d + tridia', 'stop' ) END SUBROUTINE fftx_tri_fftx SUBROUTINE fftx_tr_xy( f_in, f_out ) !------------------------------------------------------------------------------! ! Fourier-transformation along x with subsequent transposition x --> y for ! a 1d-decomposition along y ! ! ATTENTION: The NEC-branch of this routine may significantly profit from ! further optimizations. So far, performance is much worse than ! for routine ffty_tr_yx (more than three times slower). !------------------------------------------------------------------------------! USE control_parameters USE cpulog USE indices USE interfaces USE pegrid USE transpose_indices IMPLICIT NONE INTEGER :: i, j, k REAL, DIMENSION(0:nx,1:nz,nys:nyn) :: work_fftx REAL, DIMENSION(1:nz,nys:nyn,0:nx) :: f_in REAL, DIMENSION(nny,1:nz,nxl_y:nxr_y,pdims(2)) :: f_out REAL, DIMENSION(nys:nyn,1:nz,0:nx) :: work ! !-- Carry out the FFT along x, where all data are present due to the !-- 1d-decomposition along y. Resort the data in a way that y becomes !-- the first index. CALL cpu_log( log_point_s(4), 'fft_x_1d', 'start' ) IF ( host(1:3) == 'nec' ) THEN ! !-- Code for vector processors !$OMP PARALLEL PRIVATE ( i, j, k ) !$OMP DO DO i = 0, nx DO j = nys, nyn DO k = 1, nz work_fftx(i,k,j) = f_in(k,j,i) ENDDO ENDDO ENDDO !$OMP DO DO j = nys, nyn CALL fft_x_m( work_fftx(:,:,j), 'forward' ) DO k = 1, nz DO i = 0, nx work(j,k,i) = work_fftx(i,k,j) ENDDO ENDDO ENDDO !$OMP END PARALLEL ELSE ! !-- Cache optimized code (there might be still a potential for better !-- optimization). !$OMP PARALLEL PRIVATE (i,j,k) !$OMP DO DO i = 0, nx DO j = nys, nyn DO k = 1, nz work_fftx(i,k,j) = f_in(k,j,i) ENDDO ENDDO ENDDO !$OMP DO DO j = nys, nyn DO k = 1, nz CALL fft_x_1d( work_fftx(0:nx,k,j), 'forward' ) DO i = 0, nx work(j,k,i) = work_fftx(i,k,j) ENDDO ENDDO ENDDO !$OMP END PARALLEL ENDIF CALL cpu_log( log_point_s(4), 'fft_x_1d', 'pause' ) ! !-- Transpose array #if defined( __parallel ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLTOALL( work(nys,1,0), sendrecvcount_xy, MPI_REAL, & f_out(1,1,nxl_y,1), sendrecvcount_xy, MPI_REAL, & comm1dy, ierr ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) #endif END SUBROUTINE fftx_tr_xy SUBROUTINE tr_yx_fftx( f_in, f_out ) !------------------------------------------------------------------------------! ! Transposition y --> x with a subsequent backward Fourier transformation for ! a 1d-decomposition along x !------------------------------------------------------------------------------! USE control_parameters USE cpulog USE indices USE interfaces USE pegrid USE transpose_indices IMPLICIT NONE INTEGER :: i, j, k REAL, DIMENSION(0:nx,1:nz,nys:nyn) :: work_fftx REAL, DIMENSION(nny,1:nz,nxl_y:nxr_y,pdims(2)) :: f_in REAL, DIMENSION(1:nz,nys:nyn,0:nx) :: f_out REAL, DIMENSION(nys:nyn,1:nz,0:nx) :: work ! !-- Transpose array #if defined( __parallel ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'start' ) IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLTOALL( f_in(1,1,nxl_y,1), sendrecvcount_xy, MPI_REAL, & work(nys,1,0), sendrecvcount_xy, MPI_REAL, & comm1dy, ierr ) CALL cpu_log( log_point_s(32), 'mpi_alltoall', 'stop' ) #endif ! !-- Carry out the FFT along x, where all data are present due to the !-- 1d-decomposition along y. Resort the data in a way that y becomes !-- the first index. CALL cpu_log( log_point_s(4), 'fft_x_1d', 'continue' ) IF ( host(1:3) == 'nec' ) THEN ! !-- Code optimized for vector processors !$OMP PARALLEL PRIVATE ( i, j, k ) !$OMP DO DO j = nys, nyn DO k = 1, nz DO i = 0, nx work_fftx(i,k,j) = work(j,k,i) ENDDO ENDDO CALL fft_x_m( work_fftx(:,:,j), 'backward' ) ENDDO !$OMP DO DO i = 0, nx DO j = nys, nyn DO k = 1, nz f_out(k,j,i) = work_fftx(i,k,j) ENDDO ENDDO ENDDO !$OMP END PARALLEL ELSE ! !-- Cache optimized code (there might be still a potential for better !-- optimization). !$OMP PARALLEL PRIVATE (i,j,k) !$OMP DO DO j = nys, nyn DO k = 1, nz DO i = 0, nx work_fftx(i,k,j) = work(j,k,i) ENDDO CALL fft_x_1d( work_fftx(0:nx,k,j), 'backward' ) ENDDO ENDDO !$OMP DO DO i = 0, nx DO j = nys, nyn DO k = 1, nz f_out(k,j,i) = work_fftx(i,k,j) ENDDO ENDDO ENDDO !$OMP END PARALLEL ENDIF CALL cpu_log( log_point_s(4), 'fft_x_1d', 'stop' ) END SUBROUTINE tr_yx_fftx SUBROUTINE ffty_tri_ffty( ar ) !------------------------------------------------------------------------------! ! FFT along y, solution of the tridiagonal system and backward FFT for ! a 1d-decomposition along y ! ! WARNING: this subroutine may still not work for hybrid parallelization ! with OpenMP (for possible necessary changes see the original ! routine poisfft_hybrid, developed by Klaus Ketelsen, May 2002) !------------------------------------------------------------------------------! USE control_parameters USE cpulog USE grid_variables USE indices USE interfaces USE pegrid USE transpose_indices IMPLICIT NONE INTEGER :: i, j, k, m, n, omp_get_thread_num, tn REAL, DIMENSION(0:ny) :: work_ffty REAL, DIMENSION(0:ny,1:nz) :: work_triy REAL, DIMENSION(nny,1:nz,nxl_y:nxr_y,pdims(2)) :: ar REAL, DIMENSION(:,:,:,:), ALLOCATABLE :: tri CALL cpu_log( log_point_s(39), 'fft_y_1d + tridia', 'start' ) ALLOCATE( tri(5,0:ny,0:nz-1,0:threads_per_task-1) ) tn = 0 ! Default thread number in case of one thread !$OMP PARALLEL DO PRIVATE ( i, j, k, m, n, tn, work_ffty, work_triy ) DO i = nxl_y, nxr_y !$ tn = omp_get_thread_num() IF ( host(1:3) == 'nec' ) THEN ! !-- Code optimized for vector processors DO k = 1, nz m = 0 DO n = 1, pdims(2) DO j = 1, nny work_triy(m,k) = ar(j,k,i,n) m = m + 1 ENDDO ENDDO ENDDO CALL fft_y_m( work_triy, ny, 'forward' ) ELSE ! !-- Cache optimized code DO k = 1, nz m = 0 DO n = 1, pdims(2) DO j = 1, nny work_ffty(m) = ar(j,k,i,n) m = m + 1 ENDDO ENDDO CALL fft_y_1d( work_ffty, 'forward' ) DO j = 0, ny work_triy(j,k) = work_ffty(j) ENDDO ENDDO ENDIF ! !-- Solve the linear equation system CALL tridia_1dd( ddy2, ddx2, ny, nx, i, work_triy, tri(:,:,:,tn) ) IF ( host(1:3) == 'nec' ) THEN ! !-- Code optimized for vector processors CALL fft_y_m( work_triy, ny, 'backward' ) DO k = 1, nz m = 0 DO n = 1, pdims(2) DO j = 1, nny ar(j,k,i,n) = work_triy(m,k) m = m + 1 ENDDO ENDDO ENDDO ELSE ! !-- Cache optimized code DO k = 1, nz DO j = 0, ny work_ffty(j) = work_triy(j,k) ENDDO CALL fft_y_1d( work_ffty, 'backward' ) m = 0 DO n = 1, pdims(2) DO j = 1, nny ar(j,k,i,n) = work_ffty(m) m = m + 1 ENDDO ENDDO ENDDO ENDIF ENDDO DEALLOCATE( tri ) CALL cpu_log( log_point_s(39), 'fft_y_1d + tridia', 'stop' ) END SUBROUTINE ffty_tri_ffty #endif END MODULE poisfft_mod