| [1] | 1 | MODULE fft_xy |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Actual revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| [3] | 10 | ! $Id: fft_xy.f90 4 2007-02-13 11:33:16Z letzel $ |
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| 11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 12 | ! |
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| [1] | 13 | ! Revision 1.4 2006/03/28 12:27:09 raasch |
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| 14 | ! Stop when system-specific fft is selected on NEC. For unknown reasons this |
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| 15 | ! causes a program abort during first allocation in init_grid. |
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| 16 | ! |
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| 17 | ! Revision 1.2 2004/04/30 11:44:27 raasch |
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| 18 | ! Module renamed from fft_for_1d_decomp to fft_xy, 1d-routines renamed to |
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| 19 | ! fft_x and fft_y, |
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| 20 | ! function FFT replaced by subroutine FFTN due to problems with 64-bit |
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| 21 | ! mode on ibm, |
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| 22 | ! shape of array cwork is explicitly stored in ishape/jshape and handled |
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| 23 | ! to routine FFTN instead of shape-function (due to compiler error on |
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| 24 | ! decalpha), |
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| 25 | ! non vectorized FFT for nec included |
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| 26 | ! |
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| 27 | ! Revision 1.1 2002/06/11 13:00:49 raasch |
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| 28 | ! Initial revision |
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| 29 | ! |
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| 30 | ! |
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| 31 | ! Description: |
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| 32 | ! ------------ |
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| 33 | ! Fast Fourier transformation along x and y for 1d domain decomposition along x. |
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| 34 | ! Original version: Klaus Ketelsen (May 2002) |
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| 35 | !------------------------------------------------------------------------------! |
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| 36 | |
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| 37 | USE array_kind |
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| 38 | USE control_parameters |
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| 39 | USE indices |
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| 40 | USE singleton |
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| 41 | USE temperton_fft |
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| 42 | |
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| 43 | IMPLICIT NONE |
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| 44 | |
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| 45 | PRIVATE |
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| 46 | PUBLIC fft_x, fft_y, fft_init, fft_x_m, fft_y_m |
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| 47 | |
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| 48 | INTEGER, DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x, ifax_y |
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| 49 | |
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| 50 | LOGICAL, SAVE :: init_fft = .FALSE. |
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| 51 | |
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| 52 | REAL, SAVE :: sqr_nx, sqr_ny |
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| 53 | REAL, DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x, trigs_y |
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| 54 | |
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| 55 | #if defined( __ibm ) |
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| 56 | INTEGER, PARAMETER :: nau1 = 20000, nau2 = 22000 |
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| 57 | ! |
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| 58 | !-- The following working arrays contain tables and have to be "save" and |
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| 59 | !-- shared in OpenMP sense |
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| 60 | REAL, DIMENSION(nau1), SAVE :: aux1, auy1, aux3, auy3 |
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| 61 | #elif defined( __nec ) |
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| 62 | INTEGER, SAVE :: nz1 |
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| 63 | REAL, DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb, trig_xf, trig_yb, & |
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| 64 | trig_yf |
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| 65 | #endif |
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| 66 | |
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| 67 | ! |
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| 68 | !-- Public interfaces |
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| 69 | INTERFACE fft_init |
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| 70 | MODULE PROCEDURE fft_init |
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| 71 | END INTERFACE fft_init |
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| 72 | |
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| 73 | INTERFACE fft_x |
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| 74 | MODULE PROCEDURE fft_x |
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| 75 | END INTERFACE fft_x |
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| 76 | |
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| 77 | INTERFACE fft_y |
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| 78 | MODULE PROCEDURE fft_y |
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| 79 | END INTERFACE fft_y |
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| 80 | |
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| 81 | INTERFACE fft_x_m |
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| 82 | MODULE PROCEDURE fft_x_m |
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| 83 | END INTERFACE fft_x_m |
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| 84 | |
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| 85 | INTERFACE fft_y_m |
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| 86 | MODULE PROCEDURE fft_y_m |
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| 87 | END INTERFACE fft_y_m |
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| 88 | |
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| 89 | CONTAINS |
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| 90 | |
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| 91 | |
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| 92 | SUBROUTINE fft_init |
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| 93 | |
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| 94 | IMPLICIT NONE |
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| 95 | |
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| 96 | ! |
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| 97 | !-- The following temporary working arrays have to be on stack or private |
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| 98 | !-- in OpenMP sense |
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| 99 | #if defined( __ibm ) |
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| 100 | REAL, DIMENSION(0:nx+2) :: workx |
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| 101 | REAL, DIMENSION(0:ny+2) :: worky |
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| 102 | REAL, DIMENSION(nau2) :: aux2, auy2, aux4, auy4 |
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| 103 | #elif defined( __nec ) |
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| 104 | REAL, DIMENSION(0:nx+3,nz+1) :: work_x |
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| 105 | REAL, DIMENSION(0:ny+3,nz+1) :: work_y |
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| 106 | REAL, DIMENSION(6*(nx+3),nz+1) :: workx |
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| 107 | REAL, DIMENSION(6*(ny+3),nz+1) :: worky |
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| 108 | #endif |
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| 109 | |
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| 110 | ! |
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| 111 | !-- Return, if already called |
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| 112 | IF ( init_fft ) THEN |
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| 113 | RETURN |
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| 114 | ELSE |
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| 115 | init_fft = .TRUE. |
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| 116 | ENDIF |
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| 117 | |
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| 118 | IF ( fft_method == 'system-specific' ) THEN |
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| 119 | |
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| 120 | sqr_nx = SQRT( 1.0 / ( nx + 1.0 ) ) |
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| 121 | sqr_ny = SQRT( 1.0 / ( ny + 1.0 ) ) |
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| 122 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
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| 123 | ! |
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| 124 | !-- Initialize tables for fft along x |
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| 125 | CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_nx, aux1, nau1, & |
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| 126 | aux2, nau2 ) |
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| 127 | CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_nx, aux3, nau1, & |
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| 128 | aux4, nau2 ) |
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| 129 | ! |
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| 130 | !-- Initialize tables for fft along y |
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| 131 | CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_ny, auy1, nau1, & |
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| 132 | auy2, nau2 ) |
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| 133 | CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_ny, auy3, nau1, & |
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| 134 | auy4, nau2 ) |
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| 135 | #elif defined( __nec ) |
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| 136 | PRINT*, '+++ fft_init: fft method "', fft_method, & |
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| 137 | '" currently does not work on NEC' |
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| 138 | CALL local_stop |
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| 139 | |
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| 140 | ALLOCATE( trig_xb(2*(nx+1)), trig_xf(2*(nx+1)), & |
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| 141 | trig_yb(2*(ny+1)), trig_yf(2*(ny+1)) ) |
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| 142 | |
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| 143 | work_x = 0.0 |
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| 144 | work_y = 0.0 |
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| 145 | nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly |
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| 146 | ! when using the NEC ffts |
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| 147 | |
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| 148 | ! |
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| 149 | !-- Initialize tables for fft along x (non-vector and vector case (M)) |
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| 150 | CALL DZFFT( 0, nx+1, sqr_nx, work_x, work_x, trig_xf, workx, 0 ) |
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| 151 | CALL ZDFFT( 0, nx+1, sqr_nx, work_x, work_x, trig_xb, workx, 0 ) |
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| 152 | CALL DZFFTM( 0, nx+1, nz1, sqr_nx, work_x, nx+4, work_x, nx+4, & |
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| 153 | trig_xf, workx, 0 ) |
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| 154 | CALL ZDFFTM( 0, nx+1, nz1, sqr_nx, work_x, nx+4, work_x, nx+4, & |
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| 155 | trig_xb, workx, 0 ) |
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| 156 | ! |
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| 157 | !-- Initialize tables for fft along y (non-vector and vector case (M)) |
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| 158 | CALL DZFFT( 0, ny+1, sqr_ny, work_y, work_y, trig_yf, worky, 0 ) |
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| 159 | CALL ZDFFT( 0, ny+1, sqr_ny, work_y, work_y, trig_yb, worky, 0 ) |
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| 160 | CALL DZFFTM( 0, ny+1, nz1, sqr_ny, work_y, ny+4, work_y, ny+4, & |
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| 161 | trig_yf, worky, 0 ) |
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| 162 | CALL ZDFFTM( 0, ny+1, nz1, sqr_ny, work_y, ny+4, work_y, ny+4, & |
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| 163 | trig_yb, worky, 0 ) |
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| 164 | #else |
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| 165 | PRINT*, '+++ fft_init: no system-specific fft-call available' |
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| 166 | CALL local_stop |
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| 167 | #endif |
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| 168 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
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| 169 | ! |
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| 170 | !-- Temperton-algorithm |
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| 171 | !-- Initialize tables for fft along x and y |
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| 172 | ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) ) |
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| 173 | |
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| 174 | CALL set99( trigs_x, ifax_x, nx+1 ) |
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| 175 | CALL set99( trigs_y, ifax_y, ny+1 ) |
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| 176 | |
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| 177 | ELSEIF ( fft_method == 'singleton-algorithm' ) THEN |
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| 178 | |
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| 179 | CONTINUE |
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| 180 | |
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| 181 | ELSE |
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| 182 | |
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| 183 | PRINT*, '+++ fft_init: fft method "', fft_method, & |
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| 184 | '" not available' |
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| 185 | CALL local_stop |
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| 186 | |
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| 187 | ENDIF |
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| 188 | |
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| 189 | END SUBROUTINE fft_init |
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| 190 | |
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| 191 | |
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| 192 | SUBROUTINE fft_x( ar, direction ) |
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| 193 | |
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| 194 | !----------------------------------------------------------------------! |
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| 195 | ! fft_x ! |
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| 196 | ! ! |
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| 197 | ! Fourier-transformation along x-direction ! |
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| 198 | ! ! |
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| 199 | ! fft_x uses internal algorithms (Singleton or Temperton) or ! |
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| 200 | ! system-specific routines, if they are available ! |
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| 201 | !----------------------------------------------------------------------! |
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| 202 | |
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| 203 | IMPLICIT NONE |
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| 204 | |
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| 205 | CHARACTER (LEN=*) :: direction |
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| 206 | INTEGER :: i, ishape(1) |
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| 207 | |
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| 208 | !kk REAL, DIMENSION(:) :: ar !kk Does NOT work (Bug??) |
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| 209 | REAL, DIMENSION(0:nx) :: ar |
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| 210 | REAL, DIMENSION(0:nx+2) :: work |
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| 211 | REAL, DIMENSION(nx+2) :: work1 |
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| 212 | COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork |
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| 213 | #if defined( __ibm ) |
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| 214 | REAL, DIMENSION(nau2) :: aux2, aux4 |
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| 215 | #elif defined( __nec ) |
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| 216 | REAL, DIMENSION(6*(nx+1)) :: work2 |
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| 217 | #endif |
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| 218 | |
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| 219 | IF ( fft_method == 'singleton-algorithm' ) THEN |
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| 220 | |
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| 221 | ! |
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| 222 | !-- Performing the fft with singleton's software works on every system, |
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| 223 | !-- since it is part of the model |
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| 224 | ALLOCATE( cwork(0:nx) ) |
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| 225 | |
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| 226 | IF ( direction == 'forward') then |
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| 227 | |
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| 228 | DO i = 0, nx |
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| 229 | cwork(i) = CMPLX( ar(i) ) |
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| 230 | ENDDO |
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| 231 | ishape = SHAPE( cwork ) |
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| 232 | CALL FFTN( cwork, ishape ) |
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| 233 | |
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| 234 | DO i = 0, (nx+1)/2 |
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| 235 | ar(i) = REAL( cwork(i) ) |
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| 236 | ENDDO |
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| 237 | DO i = 1, (nx+1)/2 - 1 |
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| 238 | ar(nx+1-i) = -AIMAG( cwork(i) ) |
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| 239 | ENDDO |
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| 240 | |
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| 241 | ELSE |
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| 242 | |
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| 243 | cwork(0) = CMPLX( ar(0), 0.0 ) |
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| 244 | DO i = 1, (nx+1)/2 - 1 |
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| 245 | cwork(i) = CMPLX( ar(i), -ar(nx+1-i) ) |
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| 246 | cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i) ) |
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| 247 | ENDDO |
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| 248 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0 ) |
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| 249 | |
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| 250 | ishape = SHAPE( cwork ) |
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| 251 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
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| 252 | |
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| 253 | DO i = 0, nx |
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| 254 | ar(i) = REAL( cwork(i) ) |
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| 255 | ENDDO |
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| 256 | |
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| 257 | ENDIF |
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| 258 | |
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| 259 | DEALLOCATE( cwork ) |
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| 260 | |
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| 261 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
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| 262 | |
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| 263 | ! |
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| 264 | !-- Performing the fft with Temperton's software works on every system, |
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| 265 | !-- since it is part of the model |
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| 266 | IF ( direction == 'forward' ) THEN |
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| 267 | |
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| 268 | work(0:nx) = ar |
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| 269 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
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| 270 | |
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| 271 | DO i = 0, (nx+1)/2 |
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| 272 | ar(i) = work(2*i) |
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| 273 | ENDDO |
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| 274 | DO i = 1, (nx+1)/2 - 1 |
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| 275 | ar(nx+1-i) = work(2*i+1) |
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| 276 | ENDDO |
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| 277 | |
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| 278 | ELSE |
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| 279 | |
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| 280 | DO i = 0, (nx+1)/2 |
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| 281 | work(2*i) = ar(i) |
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| 282 | ENDDO |
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| 283 | DO i = 1, (nx+1)/2 - 1 |
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| 284 | work(2*i+1) = ar(nx+1-i) |
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| 285 | ENDDO |
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| 286 | work(1) = 0.0 |
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| 287 | work(nx+2) = 0.0 |
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| 288 | |
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| 289 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
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| 290 | ar = work(0:nx) |
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| 291 | |
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| 292 | ENDIF |
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| 293 | |
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| 294 | ELSEIF ( fft_method == 'system-specific' ) THEN |
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| 295 | |
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| 296 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
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| 297 | IF ( direction == 'forward' ) THEN |
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| 298 | |
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| 299 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_nx, aux1, nau1, & |
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| 300 | aux2, nau2 ) |
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| 301 | |
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| 302 | DO i = 0, (nx+1)/2 |
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| 303 | ar(i) = work(2*i) |
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| 304 | ENDDO |
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| 305 | DO i = 1, (nx+1)/2 - 1 |
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| 306 | ar(nx+1-i) = work(2*i+1) |
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| 307 | ENDDO |
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| 308 | |
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| 309 | ELSE |
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| 310 | |
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| 311 | DO i = 0, (nx+1)/2 |
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| 312 | work(2*i) = ar(i) |
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| 313 | ENDDO |
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| 314 | DO i = 1, (nx+1)/2 - 1 |
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| 315 | work(2*i+1) = ar(nx+1-i) |
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| 316 | ENDDO |
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| 317 | work(1) = 0.0 |
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| 318 | work(nx+2) = 0.0 |
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| 319 | |
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| 320 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_nx, aux3, nau1, & |
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| 321 | aux4, nau2 ) |
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| 322 | |
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| 323 | DO i = 0, nx |
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| 324 | ar(i) = work(i) |
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| 325 | ENDDO |
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| 326 | |
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| 327 | ENDIF |
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| 328 | #elif defined( __nec ) |
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| 329 | IF ( direction == 'forward' ) THEN |
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| 330 | |
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| 331 | work(0:nx) = ar(0:nx) |
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| 332 | |
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| 333 | CALL DZFFT( 1, nx+1, sqr_nx, work, work, trig_xf, work2, 0 ) |
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| 334 | |
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| 335 | DO i = 0, (nx+1)/2 |
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| 336 | ar(i) = work(2*i) |
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| 337 | ENDDO |
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| 338 | DO i = 1, (nx+1)/2 - 1 |
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| 339 | ar(nx+1-i) = work(2*i+1) |
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| 340 | ENDDO |
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| 341 | |
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| 342 | ELSE |
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| 343 | |
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| 344 | DO i = 0, (nx+1)/2 |
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| 345 | work(2*i) = ar(i) |
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| 346 | ENDDO |
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| 347 | DO i = 1, (nx+1)/2 - 1 |
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| 348 | work(2*i+1) = ar(nx+1-i) |
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| 349 | ENDDO |
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| 350 | work(1) = 0.0 |
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| 351 | work(nx+2) = 0.0 |
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| 352 | |
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| 353 | CALL ZDFFT( -1, nx+1, sqr_nx, work, work, trig_xb, work2, 0 ) |
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| 354 | |
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| 355 | ar(0:nx) = work(0:nx) |
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| 356 | |
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| 357 | ENDIF |
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| 358 | #else |
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| 359 | PRINT*, '+++ fft_x: no system-specific fft-call available' |
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| 360 | CALL local_stop |
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| 361 | #endif |
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| 362 | ELSE |
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| 363 | |
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| 364 | PRINT*, '+++ fft_x: fft method "', fft_method, '" not available' |
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| 365 | CALL local_stop |
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| 366 | |
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| 367 | ENDIF |
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| 368 | |
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| 369 | END SUBROUTINE fft_x |
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| 370 | |
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| 371 | SUBROUTINE fft_y( ar, direction ) |
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| 372 | |
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| 373 | !----------------------------------------------------------------------! |
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| 374 | ! fft_y ! |
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| 375 | ! ! |
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| 376 | ! Fourier-transformation along y-direction ! |
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| 377 | ! ! |
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| 378 | ! fft_y uses internal algorithms (Singleton or Temperton) or ! |
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| 379 | ! system-specific routines, if they are available ! |
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| 380 | !----------------------------------------------------------------------! |
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| 381 | |
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| 382 | IMPLICIT NONE |
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| 383 | |
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| 384 | CHARACTER (LEN=*) :: direction |
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| 385 | INTEGER :: j, jshape(1) |
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| 386 | |
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| 387 | !kk REAL, DIMENSION(:) :: ar !kk Does NOT work (Bug??) |
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| 388 | REAL, DIMENSION(0:ny) :: ar |
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| 389 | REAL, DIMENSION(0:ny+2) :: work |
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| 390 | REAL, DIMENSION(ny+2) :: work1 |
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| 391 | COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork |
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| 392 | #if defined( __ibm ) |
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| 393 | REAL, DIMENSION(nau2) :: auy2, auy4 |
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| 394 | #elif defined( __nec ) |
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| 395 | REAL, DIMENSION(6*(ny+1)) :: work2 |
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| 396 | #endif |
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| 397 | |
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| 398 | IF ( fft_method == 'singleton-algorithm' ) THEN |
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| 399 | |
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| 400 | ! |
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| 401 | !-- Performing the fft with singleton's software works on every system, |
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| 402 | !-- since it is part of the model |
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| 403 | ALLOCATE( cwork(0:ny) ) |
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| 404 | |
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| 405 | IF ( direction == 'forward') THEN |
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| 406 | |
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| 407 | DO j = 0, ny |
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| 408 | cwork(j) = CMPLX( ar(j) ) |
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| 409 | ENDDO |
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| 410 | |
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| 411 | jshape = SHAPE( cwork ) |
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| 412 | CALL FFTN( cwork, jshape ) |
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| 413 | |
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| 414 | DO j = 0, (ny+1)/2 |
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| 415 | ar(j) = REAL( cwork(j) ) |
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| 416 | ENDDO |
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| 417 | DO j = 1, (ny+1)/2 - 1 |
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| 418 | ar(ny+1-j) = -AIMAG( cwork(j) ) |
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| 419 | ENDDO |
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| 420 | |
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| 421 | ELSE |
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| 422 | |
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| 423 | cwork(0) = CMPLX( ar(0), 0.0 ) |
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| 424 | DO j = 1, (ny+1)/2 - 1 |
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| 425 | cwork(j) = CMPLX( ar(j), -ar(ny+1-j) ) |
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| 426 | cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j) ) |
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| 427 | ENDDO |
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| 428 | cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0 ) |
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| 429 | |
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| 430 | jshape = SHAPE( cwork ) |
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| 431 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
|---|
| 432 | |
|---|
| 433 | DO j = 0, ny |
|---|
| 434 | ar(j) = REAL( cwork(j) ) |
|---|
| 435 | ENDDO |
|---|
| 436 | |
|---|
| 437 | ENDIF |
|---|
| 438 | |
|---|
| 439 | DEALLOCATE( cwork ) |
|---|
| 440 | |
|---|
| 441 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
|---|
| 442 | |
|---|
| 443 | ! |
|---|
| 444 | !-- Performing the fft with Temperton's software works on every system, |
|---|
| 445 | !-- since it is part of the model |
|---|
| 446 | IF ( direction == 'forward' ) THEN |
|---|
| 447 | |
|---|
| 448 | work(0:ny) = ar |
|---|
| 449 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
|---|
| 450 | |
|---|
| 451 | DO j = 0, (ny+1)/2 |
|---|
| 452 | ar(j) = work(2*j) |
|---|
| 453 | ENDDO |
|---|
| 454 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 455 | ar(ny+1-j) = work(2*j+1) |
|---|
| 456 | ENDDO |
|---|
| 457 | |
|---|
| 458 | ELSE |
|---|
| 459 | |
|---|
| 460 | DO j = 0, (ny+1)/2 |
|---|
| 461 | work(2*j) = ar(j) |
|---|
| 462 | ENDDO |
|---|
| 463 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 464 | work(2*j+1) = ar(ny+1-j) |
|---|
| 465 | ENDDO |
|---|
| 466 | work(1) = 0.0 |
|---|
| 467 | work(ny+2) = 0.0 |
|---|
| 468 | |
|---|
| 469 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
|---|
| 470 | ar = work(0:ny) |
|---|
| 471 | |
|---|
| 472 | ENDIF |
|---|
| 473 | |
|---|
| 474 | ELSEIF ( fft_method == 'system-specific' ) THEN |
|---|
| 475 | |
|---|
| 476 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
|---|
| 477 | IF ( direction == 'forward') THEN |
|---|
| 478 | |
|---|
| 479 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_ny, auy1, nau1, & |
|---|
| 480 | auy2, nau2 ) |
|---|
| 481 | |
|---|
| 482 | DO j = 0, (ny+1)/2 |
|---|
| 483 | ar(j) = work(2*j) |
|---|
| 484 | ENDDO |
|---|
| 485 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 486 | ar(ny+1-j) = work(2*j+1) |
|---|
| 487 | ENDDO |
|---|
| 488 | |
|---|
| 489 | ELSE |
|---|
| 490 | |
|---|
| 491 | DO j = 0, (ny+1)/2 |
|---|
| 492 | work(2*j) = ar(j) |
|---|
| 493 | ENDDO |
|---|
| 494 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 495 | work(2*j+1) = ar(ny+1-j) |
|---|
| 496 | ENDDO |
|---|
| 497 | work(1) = 0.0 |
|---|
| 498 | work(ny+2) = 0.0 |
|---|
| 499 | |
|---|
| 500 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_ny, auy3, nau1, & |
|---|
| 501 | auy4, nau2 ) |
|---|
| 502 | |
|---|
| 503 | DO j = 0, ny |
|---|
| 504 | ar(j) = work(j) |
|---|
| 505 | ENDDO |
|---|
| 506 | |
|---|
| 507 | ENDIF |
|---|
| 508 | #elif defined( __nec ) |
|---|
| 509 | IF ( direction == 'forward' ) THEN |
|---|
| 510 | |
|---|
| 511 | work(0:ny) = ar(0:ny) |
|---|
| 512 | |
|---|
| 513 | CALL DZFFT( 1, ny+1, sqr_ny, work, work, trig_yf, work2, 0 ) |
|---|
| 514 | |
|---|
| 515 | DO j = 0, (ny+1)/2 |
|---|
| 516 | ar(j) = work(2*j) |
|---|
| 517 | ENDDO |
|---|
| 518 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 519 | ar(ny+1-j) = work(2*j+1) |
|---|
| 520 | ENDDO |
|---|
| 521 | |
|---|
| 522 | ELSE |
|---|
| 523 | |
|---|
| 524 | DO j = 0, (ny+1)/2 |
|---|
| 525 | work(2*j) = ar(j) |
|---|
| 526 | ENDDO |
|---|
| 527 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 528 | work(2*j+1) = ar(ny+1-j) |
|---|
| 529 | ENDDO |
|---|
| 530 | work(1) = 0.0 |
|---|
| 531 | work(ny+2) = 0.0 |
|---|
| 532 | |
|---|
| 533 | CALL ZDFFT( -1, ny+1, sqr_ny, work, work, trig_yb, work2, 0 ) |
|---|
| 534 | |
|---|
| 535 | ar(0:ny) = work(0:ny) |
|---|
| 536 | |
|---|
| 537 | ENDIF |
|---|
| 538 | #else |
|---|
| 539 | PRINT*, '+++ fft_y: no system-specific fft-call available' |
|---|
| 540 | CALL local_stop |
|---|
| 541 | #endif |
|---|
| 542 | |
|---|
| 543 | ELSE |
|---|
| 544 | |
|---|
| 545 | PRINT*, '+++ fft_y: fft method "', fft_method, '" not available' |
|---|
| 546 | CALL local_stop |
|---|
| 547 | |
|---|
| 548 | ENDIF |
|---|
| 549 | |
|---|
| 550 | END SUBROUTINE fft_y |
|---|
| 551 | |
|---|
| 552 | SUBROUTINE fft_x_m( ar, direction ) |
|---|
| 553 | |
|---|
| 554 | !----------------------------------------------------------------------! |
|---|
| 555 | ! fft_x_m ! |
|---|
| 556 | ! ! |
|---|
| 557 | ! Fourier-transformation along x-direction ! |
|---|
| 558 | ! Version for 1d domain decomposition ! |
|---|
| 559 | ! using multiple 1D FFT from Math Keisan on NEC ! |
|---|
| 560 | ! or Temperton-algorithm ! |
|---|
| 561 | ! (no singleton-algorithm on NEC because it does not vectorize) ! |
|---|
| 562 | ! ! |
|---|
| 563 | !----------------------------------------------------------------------! |
|---|
| 564 | |
|---|
| 565 | IMPLICIT NONE |
|---|
| 566 | |
|---|
| 567 | CHARACTER (LEN=*) :: direction |
|---|
| 568 | INTEGER :: i, k, siza, sizw |
|---|
| 569 | |
|---|
| 570 | REAL, DIMENSION(0:nx,nz) :: ar |
|---|
| 571 | REAL, DIMENSION(0:nx+3,nz+1) :: ai |
|---|
| 572 | REAL, DIMENSION(6*(nx+4),nz+1) :: work1 |
|---|
| 573 | #if defined( __nec ) |
|---|
| 574 | COMPLEX, DIMENSION((nx+4)/2+1,nz+1) :: work |
|---|
| 575 | #endif |
|---|
| 576 | |
|---|
| 577 | IF ( fft_method == 'temperton-algorithm' ) THEN |
|---|
| 578 | |
|---|
| 579 | siza = SIZE( ai, 1 ) |
|---|
| 580 | |
|---|
| 581 | IF ( direction == 'forward') THEN |
|---|
| 582 | |
|---|
| 583 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
|---|
| 584 | ai(nx+1:,:) = 0.0 |
|---|
| 585 | |
|---|
| 586 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 ) |
|---|
| 587 | |
|---|
| 588 | DO k = 1, nz |
|---|
| 589 | DO i = 0, (nx+1)/2 |
|---|
| 590 | ar(i,k) = ai(2*i,k) |
|---|
| 591 | ENDDO |
|---|
| 592 | DO i = 1, (nx+1)/2 - 1 |
|---|
| 593 | ar(nx+1-i,k) = ai(2*i+1,k) |
|---|
| 594 | ENDDO |
|---|
| 595 | ENDDO |
|---|
| 596 | |
|---|
| 597 | ELSE |
|---|
| 598 | |
|---|
| 599 | DO k = 1, nz |
|---|
| 600 | DO i = 0, (nx+1)/2 |
|---|
| 601 | ai(2*i,k) = ar(i,k) |
|---|
| 602 | ENDDO |
|---|
| 603 | DO i = 1, (nx+1)/2 - 1 |
|---|
| 604 | ai(2*i+1,k) = ar(nx+1-i,k) |
|---|
| 605 | ENDDO |
|---|
| 606 | ai(1,k) = 0.0 |
|---|
| 607 | ai(nx+2,k) = 0.0 |
|---|
| 608 | ENDDO |
|---|
| 609 | |
|---|
| 610 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 ) |
|---|
| 611 | |
|---|
| 612 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
|---|
| 613 | |
|---|
| 614 | ENDIF |
|---|
| 615 | |
|---|
| 616 | ELSEIF ( fft_method == 'system-specific' ) THEN |
|---|
| 617 | |
|---|
| 618 | #if defined( __nec ) |
|---|
| 619 | siza = SIZE( ai, 1 ) |
|---|
| 620 | sizw = SIZE( work, 1 ) |
|---|
| 621 | |
|---|
| 622 | IF ( direction == 'forward') THEN |
|---|
| 623 | |
|---|
| 624 | ! |
|---|
| 625 | !-- Tables are initialized once more. This call should not be |
|---|
| 626 | !-- necessary, but otherwise program aborts in asymmetric case |
|---|
| 627 | CALL DZFFTM( 0, nx+1, nz1, sqr_nx, work, nx+4, work, nx+4, & |
|---|
| 628 | trig_xf, work1, 0 ) |
|---|
| 629 | |
|---|
| 630 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
|---|
| 631 | IF ( nz1 > nz ) THEN |
|---|
| 632 | ai(:,nz1) = 0.0 |
|---|
| 633 | ENDIF |
|---|
| 634 | |
|---|
| 635 | CALL DZFFTM( 1, nx+1, nz1, sqr_nx, ai, siza, work, sizw, & |
|---|
| 636 | trig_xf, work1, 0 ) |
|---|
| 637 | |
|---|
| 638 | DO k = 1, nz |
|---|
| 639 | DO i = 0, (nx+1)/2 |
|---|
| 640 | ar(i,k) = REAL( work(i+1,k) ) |
|---|
| 641 | ENDDO |
|---|
| 642 | DO i = 1, (nx+1)/2 - 1 |
|---|
| 643 | ar(nx+1-i,k) = AIMAG( work(i+1,k) ) |
|---|
| 644 | ENDDO |
|---|
| 645 | ENDDO |
|---|
| 646 | |
|---|
| 647 | ELSE |
|---|
| 648 | |
|---|
| 649 | ! |
|---|
| 650 | !-- Tables are initialized once more. This call should not be |
|---|
| 651 | !-- necessary, but otherwise program aborts in asymmetric case |
|---|
| 652 | CALL ZDFFTM( 0, nx+1, nz1, sqr_nx, work, nx+4, work, nx+4, & |
|---|
| 653 | trig_xb, work1, 0 ) |
|---|
| 654 | |
|---|
| 655 | IF ( nz1 > nz ) THEN |
|---|
| 656 | work(:,nz1) = 0.0 |
|---|
| 657 | ENDIF |
|---|
| 658 | DO k = 1, nz |
|---|
| 659 | work(1,k) = CMPLX( ar(0,k), 0.0 ) |
|---|
| 660 | DO i = 1, (nx+1)/2 - 1 |
|---|
| 661 | work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k) ) |
|---|
| 662 | ENDDO |
|---|
| 663 | work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0 ) |
|---|
| 664 | ENDDO |
|---|
| 665 | |
|---|
| 666 | CALL ZDFFTM( -1, nx+1, nz1, sqr_nx, work, sizw, ai, siza, & |
|---|
| 667 | trig_xb, work1, 0 ) |
|---|
| 668 | |
|---|
| 669 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
|---|
| 670 | |
|---|
| 671 | ENDIF |
|---|
| 672 | |
|---|
| 673 | #else |
|---|
| 674 | PRINT*, '+++ fft_x_m: no system-specific fft-call available' |
|---|
| 675 | STOP |
|---|
| 676 | #endif |
|---|
| 677 | |
|---|
| 678 | ELSE |
|---|
| 679 | |
|---|
| 680 | PRINT*, '+++ fft_x_m: fft method "', fft_method, '" not available' |
|---|
| 681 | CALL local_stop |
|---|
| 682 | |
|---|
| 683 | ENDIF |
|---|
| 684 | |
|---|
| 685 | END SUBROUTINE fft_x_m |
|---|
| 686 | |
|---|
| 687 | SUBROUTINE fft_y_m( ar, ny1, direction ) |
|---|
| 688 | |
|---|
| 689 | !----------------------------------------------------------------------! |
|---|
| 690 | ! fft_y_m ! |
|---|
| 691 | ! ! |
|---|
| 692 | ! Fourier-transformation along y-direction ! |
|---|
| 693 | ! Version for 1d domain decomposition ! |
|---|
| 694 | ! using multiple 1D FFT from Math Keisan on NEC ! |
|---|
| 695 | ! or Temperton-algorithm ! |
|---|
| 696 | ! (no singleton-algorithm on NEC because it does not vectorize) ! |
|---|
| 697 | ! ! |
|---|
| 698 | !----------------------------------------------------------------------! |
|---|
| 699 | |
|---|
| 700 | IMPLICIT NONE |
|---|
| 701 | |
|---|
| 702 | CHARACTER (LEN=*) :: direction |
|---|
| 703 | INTEGER :: j, k, ny1, siza, sizw |
|---|
| 704 | |
|---|
| 705 | REAL, DIMENSION(0:ny1,nz) :: ar |
|---|
| 706 | REAL, DIMENSION(0:ny+3,nz+1) :: ai |
|---|
| 707 | REAL, DIMENSION(6*(ny+4),nz+1) :: work1 |
|---|
| 708 | #if defined( __nec ) |
|---|
| 709 | COMPLEX, DIMENSION((ny+4)/2+1,nz+1) :: work |
|---|
| 710 | #endif |
|---|
| 711 | |
|---|
| 712 | IF ( fft_method == 'temperton-algorithm' ) THEN |
|---|
| 713 | |
|---|
| 714 | siza = SIZE( ai, 1 ) |
|---|
| 715 | |
|---|
| 716 | IF ( direction == 'forward') THEN |
|---|
| 717 | |
|---|
| 718 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
|---|
| 719 | ai(ny+1:,:) = 0.0 |
|---|
| 720 | |
|---|
| 721 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 ) |
|---|
| 722 | |
|---|
| 723 | DO k = 1, nz |
|---|
| 724 | DO j = 0, (ny+1)/2 |
|---|
| 725 | ar(j,k) = ai(2*j,k) |
|---|
| 726 | ENDDO |
|---|
| 727 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 728 | ar(ny+1-j,k) = ai(2*j+1,k) |
|---|
| 729 | ENDDO |
|---|
| 730 | ENDDO |
|---|
| 731 | |
|---|
| 732 | ELSE |
|---|
| 733 | |
|---|
| 734 | DO k = 1, nz |
|---|
| 735 | DO j = 0, (ny+1)/2 |
|---|
| 736 | ai(2*j,k) = ar(j,k) |
|---|
| 737 | ENDDO |
|---|
| 738 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 739 | ai(2*j+1,k) = ar(ny+1-j,k) |
|---|
| 740 | ENDDO |
|---|
| 741 | ai(1,k) = 0.0 |
|---|
| 742 | ai(ny+2,k) = 0.0 |
|---|
| 743 | ENDDO |
|---|
| 744 | |
|---|
| 745 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 ) |
|---|
| 746 | |
|---|
| 747 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
|---|
| 748 | |
|---|
| 749 | ENDIF |
|---|
| 750 | |
|---|
| 751 | ELSEIF ( fft_method == 'system-specific' ) THEN |
|---|
| 752 | |
|---|
| 753 | #if defined( __nec ) |
|---|
| 754 | siza = SIZE( ai, 1 ) |
|---|
| 755 | sizw = SIZE( work, 1 ) |
|---|
| 756 | |
|---|
| 757 | IF ( direction == 'forward') THEN |
|---|
| 758 | |
|---|
| 759 | ! |
|---|
| 760 | !-- Tables are initialized once more. This call should not be |
|---|
| 761 | !-- necessary, but otherwise program aborts in asymmetric case |
|---|
| 762 | CALL DZFFTM( 0, ny+1, nz1, sqr_ny, work, ny+4, work, ny+4, & |
|---|
| 763 | trig_yf, work1, 0 ) |
|---|
| 764 | |
|---|
| 765 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
|---|
| 766 | IF ( nz1 > nz ) THEN |
|---|
| 767 | ai(:,nz1) = 0.0 |
|---|
| 768 | ENDIF |
|---|
| 769 | |
|---|
| 770 | CALL DZFFTM( 1, ny+1, nz1, sqr_ny, ai, siza, work, sizw, & |
|---|
| 771 | trig_yf, work1, 0 ) |
|---|
| 772 | |
|---|
| 773 | DO k = 1, nz |
|---|
| 774 | DO j = 0, (ny+1)/2 |
|---|
| 775 | ar(j,k) = REAL( work(j+1,k) ) |
|---|
| 776 | ENDDO |
|---|
| 777 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 778 | ar(ny+1-j,k) = AIMAG( work(j+1,k) ) |
|---|
| 779 | ENDDO |
|---|
| 780 | ENDDO |
|---|
| 781 | |
|---|
| 782 | ELSE |
|---|
| 783 | |
|---|
| 784 | ! |
|---|
| 785 | !-- Tables are initialized once more. This call should not be |
|---|
| 786 | !-- necessary, but otherwise program aborts in asymmetric case |
|---|
| 787 | CALL ZDFFTM( 0, ny+1, nz1, sqr_ny, work, ny+4, work, ny+4, & |
|---|
| 788 | trig_yb, work1, 0 ) |
|---|
| 789 | |
|---|
| 790 | IF ( nz1 > nz ) THEN |
|---|
| 791 | work(:,nz1) = 0.0 |
|---|
| 792 | ENDIF |
|---|
| 793 | DO k = 1, nz |
|---|
| 794 | work(1,k) = CMPLX( ar(0,k), 0.0 ) |
|---|
| 795 | DO j = 1, (ny+1)/2 - 1 |
|---|
| 796 | work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k) ) |
|---|
| 797 | ENDDO |
|---|
| 798 | work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0 ) |
|---|
| 799 | ENDDO |
|---|
| 800 | |
|---|
| 801 | CALL ZDFFTM( -1, ny+1, nz1, sqr_ny, work, sizw, ai, siza, & |
|---|
| 802 | trig_yb, work1, 0 ) |
|---|
| 803 | |
|---|
| 804 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
|---|
| 805 | |
|---|
| 806 | ENDIF |
|---|
| 807 | |
|---|
| 808 | #else |
|---|
| 809 | PRINT*, '+++ fft_y_m: no system-specific fft-call available' |
|---|
| 810 | STOP |
|---|
| 811 | #endif |
|---|
| 812 | |
|---|
| 813 | ELSE |
|---|
| 814 | |
|---|
| 815 | PRINT*, '+++ fft_y_m: fft method "', fft_method, '" not available' |
|---|
| 816 | CALL local_stop |
|---|
| 817 | |
|---|
| 818 | ENDIF |
|---|
| 819 | |
|---|
| 820 | END SUBROUTINE fft_y_m |
|---|
| 821 | |
|---|
| 822 | END MODULE fft_xy |
|---|
