1 | MODULE fft_xy |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2012 Leibniz University Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: fft_xy.f90 1216 2013-08-26 09:31:42Z raasch $ |
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27 | ! |
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28 | ! 1210 2013-08-14 10:58:20Z raasch |
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29 | ! fftw added |
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30 | ! |
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31 | ! 1166 2013-05-24 13:55:44Z raasch |
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32 | ! C_DOUBLE/COMPLEX reset to dpk |
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33 | ! |
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34 | ! 1153 2013-05-10 14:33:08Z raasch |
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35 | ! code adjustment of data types for CUDA fft required by PGI 12.3 / CUDA 5.0 |
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36 | ! |
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37 | ! 1111 2013-03-08 23:54:10Z raasch |
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38 | ! further openACC statements added, CUDA branch completely runs on GPU |
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39 | ! bugfix: CUDA fft plans adjusted for domain decomposition (before they always |
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40 | ! used total domain) |
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41 | ! |
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42 | ! 1106 2013-03-04 05:31:38Z raasch |
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43 | ! CUDA fft added |
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44 | ! array_kind renamed precision_kind, 3D- instead of 1D-loops in fft_x and fft_y |
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45 | ! old fft_x, fft_y become fft_x_1d, fft_y_1d and are used for 1D-decomposition |
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46 | ! |
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47 | ! 1092 2013-02-02 11:24:22Z raasch |
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48 | ! variable sizw declared for NEC case only |
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49 | ! |
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50 | ! 1036 2012-10-22 13:43:42Z raasch |
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51 | ! code put under GPL (PALM 3.9) |
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52 | ! |
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53 | ! 274 2009-03-26 15:11:21Z heinze |
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54 | ! Output of messages replaced by message handling routine. |
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55 | ! |
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56 | ! Feb. 2007 |
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57 | ! RCS Log replace by Id keyword, revision history cleaned up |
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58 | ! |
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59 | ! Revision 1.4 2006/03/28 12:27:09 raasch |
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60 | ! Stop when system-specific fft is selected on NEC. For unknown reasons this |
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61 | ! causes a program abort during first allocation in init_grid. |
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62 | ! |
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63 | ! Revision 1.2 2004/04/30 11:44:27 raasch |
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64 | ! Module renamed from fft_for_1d_decomp to fft_xy, 1d-routines renamed to |
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65 | ! fft_x and fft_y, |
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66 | ! function FFT replaced by subroutine FFTN due to problems with 64-bit |
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67 | ! mode on ibm, |
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68 | ! shape of array cwork is explicitly stored in ishape/jshape and handled |
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69 | ! to routine FFTN instead of shape-function (due to compiler error on |
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70 | ! decalpha), |
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71 | ! non vectorized FFT for nec included |
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72 | ! |
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73 | ! Revision 1.1 2002/06/11 13:00:49 raasch |
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74 | ! Initial revision |
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75 | ! |
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76 | ! |
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77 | ! Description: |
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78 | ! ------------ |
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79 | ! Fast Fourier transformation along x and y for 1d domain decomposition along x. |
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80 | ! Original version: Klaus Ketelsen (May 2002) |
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81 | !------------------------------------------------------------------------------! |
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82 | |
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83 | USE control_parameters |
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84 | USE indices |
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85 | #if defined( __cuda_fft ) |
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86 | USE ISO_C_BINDING |
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87 | #elif defined( __fftw ) |
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88 | USE, INTRINSIC :: ISO_C_BINDING |
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89 | #endif |
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90 | USE precision_kind |
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91 | USE singleton |
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92 | USE temperton_fft |
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93 | USE transpose_indices |
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94 | |
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95 | IMPLICIT NONE |
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96 | |
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97 | PRIVATE |
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98 | PUBLIC fft_x, fft_x_1d, fft_y, fft_y_1d, fft_init, fft_x_m, fft_y_m |
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99 | |
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100 | INTEGER, DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x, ifax_y |
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101 | |
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102 | LOGICAL, SAVE :: init_fft = .FALSE. |
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103 | |
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104 | REAL, SAVE :: dnx, dny, sqr_dnx, sqr_dny |
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105 | REAL, DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x, trigs_y |
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106 | |
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107 | #if defined( __ibm ) |
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108 | INTEGER, PARAMETER :: nau1 = 20000, nau2 = 22000 |
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109 | ! |
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110 | !-- The following working arrays contain tables and have to be "save" and |
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111 | !-- shared in OpenMP sense |
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112 | REAL, DIMENSION(nau1), SAVE :: aux1, auy1, aux3, auy3 |
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113 | #elif defined( __nec ) |
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114 | INTEGER, SAVE :: nz1 |
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115 | REAL, DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb, trig_xf, trig_yb, & |
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116 | trig_yf |
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117 | #elif defined( __cuda_fft ) |
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118 | INTEGER(C_INT), SAVE :: plan_xf, plan_xi, plan_yf, plan_yi |
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119 | INTEGER, SAVE :: total_points_x_transpo, total_points_y_transpo |
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120 | #elif defined( __fftw ) |
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121 | INCLUDE 'fftw3.f03' |
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122 | INTEGER(KIND=C_INT) :: nx_c, ny_c |
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123 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: x_out, y_out |
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124 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: x_in, y_in |
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125 | TYPE(C_PTR), SAVE :: plan_xf, plan_xi, plan_yf, plan_yi |
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126 | #endif |
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127 | |
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128 | ! |
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129 | !-- Public interfaces |
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130 | INTERFACE fft_init |
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131 | MODULE PROCEDURE fft_init |
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132 | END INTERFACE fft_init |
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133 | |
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134 | INTERFACE fft_x |
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135 | MODULE PROCEDURE fft_x |
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136 | END INTERFACE fft_x |
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137 | |
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138 | INTERFACE fft_x_1d |
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139 | MODULE PROCEDURE fft_x_1d |
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140 | END INTERFACE fft_x_1d |
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141 | |
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142 | INTERFACE fft_y |
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143 | MODULE PROCEDURE fft_y |
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144 | END INTERFACE fft_y |
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145 | |
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146 | INTERFACE fft_y_1d |
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147 | MODULE PROCEDURE fft_y_1d |
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148 | END INTERFACE fft_y_1d |
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149 | |
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150 | INTERFACE fft_x_m |
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151 | MODULE PROCEDURE fft_x_m |
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152 | END INTERFACE fft_x_m |
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153 | |
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154 | INTERFACE fft_y_m |
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155 | MODULE PROCEDURE fft_y_m |
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156 | END INTERFACE fft_y_m |
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157 | |
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158 | CONTAINS |
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159 | |
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160 | |
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161 | SUBROUTINE fft_init |
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162 | |
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163 | USE cuda_fft_interfaces |
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164 | |
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165 | IMPLICIT NONE |
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166 | |
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167 | ! |
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168 | !-- The following temporary working arrays have to be on stack or private |
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169 | !-- in OpenMP sense |
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170 | #if defined( __ibm ) |
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171 | REAL, DIMENSION(0:nx+2) :: workx |
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172 | REAL, DIMENSION(0:ny+2) :: worky |
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173 | REAL, DIMENSION(nau2) :: aux2, auy2, aux4, auy4 |
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174 | #elif defined( __nec ) |
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175 | REAL, DIMENSION(0:nx+3,nz+1) :: work_x |
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176 | REAL, DIMENSION(0:ny+3,nz+1) :: work_y |
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177 | REAL, DIMENSION(6*(nx+3),nz+1) :: workx |
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178 | REAL, DIMENSION(6*(ny+3),nz+1) :: worky |
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179 | #endif |
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180 | |
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181 | ! |
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182 | !-- Return, if already called |
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183 | IF ( init_fft ) THEN |
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184 | RETURN |
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185 | ELSE |
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186 | init_fft = .TRUE. |
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187 | ENDIF |
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188 | |
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189 | IF ( fft_method == 'system-specific' ) THEN |
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190 | |
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191 | dnx = 1.0 / ( nx + 1.0 ) |
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192 | dny = 1.0 / ( ny + 1.0 ) |
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193 | sqr_dnx = SQRT( dnx ) |
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194 | sqr_dny = SQRT( dny ) |
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195 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
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196 | ! |
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197 | !-- Initialize tables for fft along x |
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198 | CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
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199 | aux2, nau2 ) |
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200 | CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
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201 | aux4, nau2 ) |
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202 | ! |
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203 | !-- Initialize tables for fft along y |
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204 | CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
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205 | auy2, nau2 ) |
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206 | CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
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207 | auy4, nau2 ) |
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208 | #elif defined( __nec ) |
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209 | message_string = 'fft method "' // TRIM( fft_method) // & |
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210 | '" currently does not work on NEC' |
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211 | CALL message( 'fft_init', 'PA0187', 1, 2, 0, 6, 0 ) |
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212 | |
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213 | ALLOCATE( trig_xb(2*(nx+1)), trig_xf(2*(nx+1)), & |
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214 | trig_yb(2*(ny+1)), trig_yf(2*(ny+1)) ) |
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215 | |
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216 | work_x = 0.0 |
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217 | work_y = 0.0 |
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218 | nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly |
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219 | ! when using the NEC ffts |
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220 | |
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221 | ! |
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222 | !-- Initialize tables for fft along x (non-vector and vector case (M)) |
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223 | CALL DZFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xf, workx, 0 ) |
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224 | CALL ZDFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xb, workx, 0 ) |
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225 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
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226 | trig_xf, workx, 0 ) |
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227 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
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228 | trig_xb, workx, 0 ) |
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229 | ! |
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230 | !-- Initialize tables for fft along y (non-vector and vector case (M)) |
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231 | CALL DZFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yf, worky, 0 ) |
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232 | CALL ZDFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yb, worky, 0 ) |
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233 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
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234 | trig_yf, worky, 0 ) |
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235 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
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236 | trig_yb, worky, 0 ) |
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237 | #elif defined( __cuda_fft ) |
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238 | total_points_x_transpo = (nx+1) * (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) |
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239 | total_points_y_transpo = (ny+1) * (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) |
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240 | CALL CUFFTPLAN1D( plan_xf, nx+1, CUFFT_D2Z, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
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241 | CALL CUFFTPLAN1D( plan_xi, nx+1, CUFFT_Z2D, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
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242 | CALL CUFFTPLAN1D( plan_yf, ny+1, CUFFT_D2Z, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
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243 | CALL CUFFTPLAN1D( plan_yi, ny+1, CUFFT_Z2D, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
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244 | #else |
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245 | message_string = 'no system-specific fft-call available' |
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246 | CALL message( 'fft_init', 'PA0188', 1, 2, 0, 6, 0 ) |
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247 | #endif |
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248 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
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249 | ! |
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250 | !-- Temperton-algorithm |
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251 | !-- Initialize tables for fft along x and y |
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252 | ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) ) |
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253 | |
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254 | CALL set99( trigs_x, ifax_x, nx+1 ) |
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255 | CALL set99( trigs_y, ifax_y, ny+1 ) |
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256 | |
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257 | ELSEIF ( fft_method == 'fftw' ) THEN |
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258 | ! |
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259 | !-- FFTW |
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260 | #if defined( __fftw ) |
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261 | nx_c = nx+1 |
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262 | ny_c = ny+1 |
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263 | ALLOCATE( x_in(0:nx+2), y_in(0:ny+2), x_out(0:(nx+1)/2), & |
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264 | y_out(0:(ny+1)/2) ) |
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265 | plan_xf = FFTW_PLAN_DFT_R2C_1D( nx_c, x_in, x_out, FFTW_ESTIMATE ) |
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266 | plan_xi = FFTW_PLAN_DFT_C2R_1D( nx_c, x_out, x_in, FFTW_ESTIMATE ) |
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267 | plan_yf = FFTW_PLAN_DFT_R2C_1D( ny_c, y_in, y_out, FFTW_ESTIMATE ) |
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268 | plan_yi = FFTW_PLAN_DFT_C2R_1D( ny_c, y_out, y_in, FFTW_ESTIMATE ) |
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269 | #else |
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270 | message_string = 'preprocessor switch for fftw is missing' |
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271 | CALL message( 'fft_init', 'PA0080', 1, 2, 0, 6, 0 ) |
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272 | #endif |
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273 | |
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274 | ELSEIF ( fft_method == 'singleton-algorithm' ) THEN |
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275 | |
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276 | CONTINUE |
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277 | |
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278 | ELSE |
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279 | |
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280 | message_string = 'fft method "' // TRIM( fft_method) // & |
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281 | '" not available' |
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282 | CALL message( 'fft_init', 'PA0189', 1, 2, 0, 6, 0 ) |
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283 | ENDIF |
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284 | |
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285 | END SUBROUTINE fft_init |
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286 | |
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287 | |
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288 | SUBROUTINE fft_x( ar, direction, ar_2d ) |
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289 | |
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290 | !----------------------------------------------------------------------! |
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291 | ! fft_x ! |
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292 | ! ! |
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293 | ! Fourier-transformation along x-direction ! |
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294 | ! Version for 2D-decomposition ! |
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295 | ! ! |
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296 | ! fft_x uses internal algorithms (Singleton or Temperton) or ! |
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297 | ! system-specific routines, if they are available ! |
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298 | !----------------------------------------------------------------------! |
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299 | |
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300 | USE cuda_fft_interfaces |
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301 | #if defined( __cuda_fft ) |
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302 | USE ISO_C_BINDING |
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303 | #endif |
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304 | |
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305 | IMPLICIT NONE |
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306 | |
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307 | CHARACTER (LEN=*) :: direction |
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308 | INTEGER :: i, ishape(1), j, k |
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309 | |
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310 | LOGICAL :: forward_fft |
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311 | |
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312 | REAL, DIMENSION(0:nx+2) :: work |
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313 | REAL, DIMENSION(nx+2) :: work1 |
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314 | COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork |
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315 | #if defined( __ibm ) |
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316 | REAL, DIMENSION(nau2) :: aux2, aux4 |
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317 | #elif defined( __nec ) |
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318 | REAL, DIMENSION(6*(nx+1)) :: work2 |
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319 | #elif defined( __cuda_fft ) |
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320 | !$acc declare create( ar_tmp ) |
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321 | COMPLEX(dpk), DIMENSION(0:(nx+1)/2,nys_x:nyn_x,nzb_x:nzt_x) :: ar_tmp |
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322 | #endif |
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323 | REAL, DIMENSION(0:nx,nys_x:nyn_x), OPTIONAL :: ar_2d |
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324 | REAL, DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ar |
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325 | |
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326 | IF ( direction == 'forward' ) THEN |
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327 | forward_fft = .TRUE. |
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328 | ELSE |
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329 | forward_fft = .FALSE. |
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330 | ENDIF |
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331 | |
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332 | IF ( fft_method == 'singleton-algorithm' ) THEN |
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333 | |
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334 | ! |
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335 | !-- Performing the fft with singleton's software works on every system, |
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336 | !-- since it is part of the model |
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337 | ALLOCATE( cwork(0:nx) ) |
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338 | |
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339 | IF ( forward_fft ) then |
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340 | |
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341 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
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342 | !$OMP DO |
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343 | DO k = nzb_x, nzt_x |
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344 | DO j = nys_x, nyn_x |
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345 | |
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346 | DO i = 0, nx |
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347 | cwork(i) = CMPLX( ar(i,j,k) ) |
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348 | ENDDO |
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349 | |
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350 | ishape = SHAPE( cwork ) |
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351 | CALL FFTN( cwork, ishape ) |
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352 | |
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353 | DO i = 0, (nx+1)/2 |
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354 | ar(i,j,k) = REAL( cwork(i) ) |
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355 | ENDDO |
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356 | DO i = 1, (nx+1)/2 - 1 |
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357 | ar(nx+1-i,j,k) = -AIMAG( cwork(i) ) |
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358 | ENDDO |
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359 | |
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360 | ENDDO |
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361 | ENDDO |
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362 | !$OMP END PARALLEL |
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363 | |
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364 | ELSE |
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365 | |
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366 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
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367 | !$OMP DO |
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368 | DO k = nzb_x, nzt_x |
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369 | DO j = nys_x, nyn_x |
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370 | |
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371 | cwork(0) = CMPLX( ar(0,j,k), 0.0 ) |
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372 | DO i = 1, (nx+1)/2 - 1 |
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373 | cwork(i) = CMPLX( ar(i,j,k), -ar(nx+1-i,j,k) ) |
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374 | cwork(nx+1-i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k) ) |
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375 | ENDDO |
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376 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0 ) |
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377 | |
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378 | ishape = SHAPE( cwork ) |
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379 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
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380 | |
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381 | DO i = 0, nx |
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382 | ar(i,j,k) = REAL( cwork(i) ) |
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383 | ENDDO |
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384 | |
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385 | ENDDO |
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386 | ENDDO |
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387 | !$OMP END PARALLEL |
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388 | |
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389 | ENDIF |
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390 | |
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391 | DEALLOCATE( cwork ) |
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392 | |
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393 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
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394 | |
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395 | ! |
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396 | !-- Performing the fft with Temperton's software works on every system, |
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397 | !-- since it is part of the model |
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398 | IF ( forward_fft ) THEN |
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399 | |
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400 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
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401 | !$OMP DO |
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402 | DO k = nzb_x, nzt_x |
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403 | DO j = nys_x, nyn_x |
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404 | |
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405 | work(0:nx) = ar(0:nx,j,k) |
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406 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
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407 | |
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408 | DO i = 0, (nx+1)/2 |
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409 | ar(i,j,k) = work(2*i) |
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410 | ENDDO |
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411 | DO i = 1, (nx+1)/2 - 1 |
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412 | ar(nx+1-i,j,k) = work(2*i+1) |
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413 | ENDDO |
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414 | |
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415 | ENDDO |
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416 | ENDDO |
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417 | !$OMP END PARALLEL |
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418 | |
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419 | ELSE |
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420 | |
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421 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
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422 | !$OMP DO |
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423 | DO k = nzb_x, nzt_x |
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424 | DO j = nys_x, nyn_x |
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425 | |
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426 | DO i = 0, (nx+1)/2 |
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427 | work(2*i) = ar(i,j,k) |
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428 | ENDDO |
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429 | DO i = 1, (nx+1)/2 - 1 |
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430 | work(2*i+1) = ar(nx+1-i,j,k) |
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431 | ENDDO |
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432 | work(1) = 0.0 |
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433 | work(nx+2) = 0.0 |
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434 | |
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435 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
436 | ar(0:nx,j,k) = work(0:nx) |
---|
437 | |
---|
438 | ENDDO |
---|
439 | ENDDO |
---|
440 | !$OMP END PARALLEL |
---|
441 | |
---|
442 | ENDIF |
---|
443 | |
---|
444 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
445 | |
---|
446 | #if defined( __fftw ) |
---|
447 | IF ( forward_fft ) THEN |
---|
448 | |
---|
449 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
450 | !$OMP DO |
---|
451 | DO k = nzb_x, nzt_x |
---|
452 | DO j = nys_x, nyn_x |
---|
453 | |
---|
454 | x_in(0:nx) = ar(0:nx,j,k) |
---|
455 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
456 | |
---|
457 | IF ( PRESENT( ar_2d ) ) THEN |
---|
458 | |
---|
459 | DO i = 0, (nx+1)/2 |
---|
460 | ar_2d(i,j) = REAL( x_out(i) ) / ( nx+1 ) |
---|
461 | ENDDO |
---|
462 | DO i = 1, (nx+1)/2 - 1 |
---|
463 | ar_2d(nx+1-i,j) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
464 | ENDDO |
---|
465 | |
---|
466 | ELSE |
---|
467 | |
---|
468 | DO i = 0, (nx+1)/2 |
---|
469 | ar(i,j,k) = REAL( x_out(i) ) / ( nx+1 ) |
---|
470 | ENDDO |
---|
471 | DO i = 1, (nx+1)/2 - 1 |
---|
472 | ar(nx+1-i,j,k) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
473 | ENDDO |
---|
474 | |
---|
475 | ENDIF |
---|
476 | |
---|
477 | ENDDO |
---|
478 | ENDDO |
---|
479 | !$OMP END PARALLEL |
---|
480 | |
---|
481 | ELSE |
---|
482 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
483 | !$OMP DO |
---|
484 | DO k = nzb_x, nzt_x |
---|
485 | DO j = nys_x, nyn_x |
---|
486 | |
---|
487 | IF ( PRESENT( ar_2d ) ) THEN |
---|
488 | |
---|
489 | x_out(0) = CMPLX( ar_2d(0,j), 0.0 ) |
---|
490 | DO i = 1, (nx+1)/2 - 1 |
---|
491 | x_out(i) = CMPLX( ar_2d(i,j), ar_2d(nx+1-i,j) ) |
---|
492 | ENDDO |
---|
493 | x_out((nx+1)/2) = CMPLX( ar_2d((nx+1)/2,j), 0.0 ) |
---|
494 | |
---|
495 | ELSE |
---|
496 | |
---|
497 | x_out(0) = CMPLX( ar(0,j,k), 0.0 ) |
---|
498 | DO i = 1, (nx+1)/2 - 1 |
---|
499 | x_out(i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k) ) |
---|
500 | ENDDO |
---|
501 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0 ) |
---|
502 | |
---|
503 | ENDIF |
---|
504 | |
---|
505 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
506 | ar(0:nx,j,k) = x_in(0:nx) |
---|
507 | |
---|
508 | ENDDO |
---|
509 | ENDDO |
---|
510 | !$OMP END PARALLEL |
---|
511 | |
---|
512 | ENDIF |
---|
513 | #endif |
---|
514 | |
---|
515 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
516 | |
---|
517 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
---|
518 | IF ( forward_fft ) THEN |
---|
519 | |
---|
520 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
521 | !$OMP DO |
---|
522 | DO k = nzb_x, nzt_x |
---|
523 | DO j = nys_x, nyn_x |
---|
524 | |
---|
525 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
526 | aux2, nau2 ) |
---|
527 | |
---|
528 | DO i = 0, (nx+1)/2 |
---|
529 | ar(i,j,k) = work(2*i) |
---|
530 | ENDDO |
---|
531 | DO i = 1, (nx+1)/2 - 1 |
---|
532 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
533 | ENDDO |
---|
534 | |
---|
535 | ENDDO |
---|
536 | ENDDO |
---|
537 | !$OMP END PARALLEL |
---|
538 | |
---|
539 | ELSE |
---|
540 | |
---|
541 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
542 | !$OMP DO |
---|
543 | DO k = nzb_x, nzt_x |
---|
544 | DO j = nys_x, nyn_x |
---|
545 | |
---|
546 | DO i = 0, (nx+1)/2 |
---|
547 | work(2*i) = ar(i,j,k) |
---|
548 | ENDDO |
---|
549 | DO i = 1, (nx+1)/2 - 1 |
---|
550 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
551 | ENDDO |
---|
552 | work(1) = 0.0 |
---|
553 | work(nx+2) = 0.0 |
---|
554 | |
---|
555 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
556 | aux4, nau2 ) |
---|
557 | |
---|
558 | DO i = 0, nx |
---|
559 | ar(i,j,k) = work(i) |
---|
560 | ENDDO |
---|
561 | |
---|
562 | ENDDO |
---|
563 | ENDDO |
---|
564 | !$OMP END PARALLEL |
---|
565 | |
---|
566 | ENDIF |
---|
567 | |
---|
568 | #elif defined( __nec ) |
---|
569 | |
---|
570 | IF ( forward_fft ) THEN |
---|
571 | |
---|
572 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
573 | !$OMP DO |
---|
574 | DO k = nzb_x, nzt_x |
---|
575 | DO j = nys_x, nyn_x |
---|
576 | |
---|
577 | work(0:nx) = ar(0:nx,j,k) |
---|
578 | |
---|
579 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
580 | |
---|
581 | DO i = 0, (nx+1)/2 |
---|
582 | ar(i,j,k) = work(2*i) |
---|
583 | ENDDO |
---|
584 | DO i = 1, (nx+1)/2 - 1 |
---|
585 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
586 | ENDDO |
---|
587 | |
---|
588 | ENDDO |
---|
589 | ENDDO |
---|
590 | !$END OMP PARALLEL |
---|
591 | |
---|
592 | ELSE |
---|
593 | |
---|
594 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
595 | !$OMP DO |
---|
596 | DO k = nzb_x, nzt_x |
---|
597 | DO j = nys_x, nyn_x |
---|
598 | |
---|
599 | DO i = 0, (nx+1)/2 |
---|
600 | work(2*i) = ar(i,j,k) |
---|
601 | ENDDO |
---|
602 | DO i = 1, (nx+1)/2 - 1 |
---|
603 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
604 | ENDDO |
---|
605 | work(1) = 0.0 |
---|
606 | work(nx+2) = 0.0 |
---|
607 | |
---|
608 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
609 | |
---|
610 | ar(0:nx,j,k) = work(0:nx) |
---|
611 | |
---|
612 | ENDDO |
---|
613 | ENDDO |
---|
614 | !$OMP END PARALLEL |
---|
615 | |
---|
616 | ENDIF |
---|
617 | |
---|
618 | #elif defined( __cuda_fft ) |
---|
619 | |
---|
620 | IF ( forward_fft ) THEN |
---|
621 | |
---|
622 | !$acc data present( ar ) |
---|
623 | CALL CUFFTEXECD2Z( plan_xf, ar, ar_tmp ) |
---|
624 | |
---|
625 | !$acc kernels |
---|
626 | !$acc loop |
---|
627 | DO k = nzb_x, nzt_x |
---|
628 | DO j = nys_x, nyn_x |
---|
629 | |
---|
630 | !$acc loop vector( 32 ) |
---|
631 | DO i = 0, (nx+1)/2 |
---|
632 | ar(i,j,k) = REAL( ar_tmp(i,j,k) ) * dnx |
---|
633 | ENDDO |
---|
634 | |
---|
635 | !$acc loop vector( 32 ) |
---|
636 | DO i = 1, (nx+1)/2 - 1 |
---|
637 | ar(nx+1-i,j,k) = AIMAG( ar_tmp(i,j,k) ) * dnx |
---|
638 | ENDDO |
---|
639 | |
---|
640 | ENDDO |
---|
641 | ENDDO |
---|
642 | !$acc end kernels |
---|
643 | !$acc end data |
---|
644 | |
---|
645 | ELSE |
---|
646 | |
---|
647 | !$acc data present( ar ) |
---|
648 | !$acc kernels |
---|
649 | !$acc loop |
---|
650 | DO k = nzb_x, nzt_x |
---|
651 | DO j = nys_x, nyn_x |
---|
652 | |
---|
653 | ar_tmp(0,j,k) = CMPLX( ar(0,j,k), 0.0 ) |
---|
654 | |
---|
655 | !$acc loop vector( 32 ) |
---|
656 | DO i = 1, (nx+1)/2 - 1 |
---|
657 | ar_tmp(i,j,k) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k) ) |
---|
658 | ENDDO |
---|
659 | ar_tmp((nx+1)/2,j,k) = CMPLX( ar((nx+1)/2,j,k), 0.0 ) |
---|
660 | |
---|
661 | ENDDO |
---|
662 | ENDDO |
---|
663 | !$acc end kernels |
---|
664 | |
---|
665 | CALL CUFFTEXECZ2D( plan_xi, ar_tmp, ar ) |
---|
666 | !$acc end data |
---|
667 | |
---|
668 | ENDIF |
---|
669 | |
---|
670 | #else |
---|
671 | message_string = 'no system-specific fft-call available' |
---|
672 | CALL message( 'fft_x', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
673 | #endif |
---|
674 | |
---|
675 | ELSE |
---|
676 | |
---|
677 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
678 | '" not available' |
---|
679 | CALL message( 'fft_x', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
680 | |
---|
681 | ENDIF |
---|
682 | |
---|
683 | END SUBROUTINE fft_x |
---|
684 | |
---|
685 | SUBROUTINE fft_x_1d( ar, direction ) |
---|
686 | |
---|
687 | !----------------------------------------------------------------------! |
---|
688 | ! fft_x_1d ! |
---|
689 | ! ! |
---|
690 | ! Fourier-transformation along x-direction ! |
---|
691 | ! Version for 1D-decomposition ! |
---|
692 | ! ! |
---|
693 | ! fft_x uses internal algorithms (Singleton or Temperton) or ! |
---|
694 | ! system-specific routines, if they are available ! |
---|
695 | !----------------------------------------------------------------------! |
---|
696 | |
---|
697 | IMPLICIT NONE |
---|
698 | |
---|
699 | CHARACTER (LEN=*) :: direction |
---|
700 | INTEGER :: i, ishape(1) |
---|
701 | |
---|
702 | LOGICAL :: forward_fft |
---|
703 | |
---|
704 | REAL, DIMENSION(0:nx) :: ar |
---|
705 | REAL, DIMENSION(0:nx+2) :: work |
---|
706 | REAL, DIMENSION(nx+2) :: work1 |
---|
707 | COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork |
---|
708 | #if defined( __ibm ) |
---|
709 | REAL, DIMENSION(nau2) :: aux2, aux4 |
---|
710 | #elif defined( __nec ) |
---|
711 | REAL, DIMENSION(6*(nx+1)) :: work2 |
---|
712 | #endif |
---|
713 | |
---|
714 | IF ( direction == 'forward' ) THEN |
---|
715 | forward_fft = .TRUE. |
---|
716 | ELSE |
---|
717 | forward_fft = .FALSE. |
---|
718 | ENDIF |
---|
719 | |
---|
720 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
721 | |
---|
722 | ! |
---|
723 | !-- Performing the fft with singleton's software works on every system, |
---|
724 | !-- since it is part of the model |
---|
725 | ALLOCATE( cwork(0:nx) ) |
---|
726 | |
---|
727 | IF ( forward_fft ) then |
---|
728 | |
---|
729 | DO i = 0, nx |
---|
730 | cwork(i) = CMPLX( ar(i) ) |
---|
731 | ENDDO |
---|
732 | ishape = SHAPE( cwork ) |
---|
733 | CALL FFTN( cwork, ishape ) |
---|
734 | DO i = 0, (nx+1)/2 |
---|
735 | ar(i) = REAL( cwork(i) ) |
---|
736 | ENDDO |
---|
737 | DO i = 1, (nx+1)/2 - 1 |
---|
738 | ar(nx+1-i) = -AIMAG( cwork(i) ) |
---|
739 | ENDDO |
---|
740 | |
---|
741 | ELSE |
---|
742 | |
---|
743 | cwork(0) = CMPLX( ar(0), 0.0 ) |
---|
744 | DO i = 1, (nx+1)/2 - 1 |
---|
745 | cwork(i) = CMPLX( ar(i), -ar(nx+1-i) ) |
---|
746 | cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i) ) |
---|
747 | ENDDO |
---|
748 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0 ) |
---|
749 | |
---|
750 | ishape = SHAPE( cwork ) |
---|
751 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
752 | |
---|
753 | DO i = 0, nx |
---|
754 | ar(i) = REAL( cwork(i) ) |
---|
755 | ENDDO |
---|
756 | |
---|
757 | ENDIF |
---|
758 | |
---|
759 | DEALLOCATE( cwork ) |
---|
760 | |
---|
761 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
762 | |
---|
763 | ! |
---|
764 | !-- Performing the fft with Temperton's software works on every system, |
---|
765 | !-- since it is part of the model |
---|
766 | IF ( forward_fft ) THEN |
---|
767 | |
---|
768 | work(0:nx) = ar |
---|
769 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
770 | |
---|
771 | DO i = 0, (nx+1)/2 |
---|
772 | ar(i) = work(2*i) |
---|
773 | ENDDO |
---|
774 | DO i = 1, (nx+1)/2 - 1 |
---|
775 | ar(nx+1-i) = work(2*i+1) |
---|
776 | ENDDO |
---|
777 | |
---|
778 | ELSE |
---|
779 | |
---|
780 | DO i = 0, (nx+1)/2 |
---|
781 | work(2*i) = ar(i) |
---|
782 | ENDDO |
---|
783 | DO i = 1, (nx+1)/2 - 1 |
---|
784 | work(2*i+1) = ar(nx+1-i) |
---|
785 | ENDDO |
---|
786 | work(1) = 0.0 |
---|
787 | work(nx+2) = 0.0 |
---|
788 | |
---|
789 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
790 | ar = work(0:nx) |
---|
791 | |
---|
792 | ENDIF |
---|
793 | |
---|
794 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
795 | |
---|
796 | #if defined( __fftw ) |
---|
797 | IF ( forward_fft ) THEN |
---|
798 | |
---|
799 | x_in(0:nx) = ar(0:nx) |
---|
800 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
801 | |
---|
802 | DO i = 0, (nx+1)/2 |
---|
803 | ar(i) = REAL( x_out(i) ) / ( nx+1 ) |
---|
804 | ENDDO |
---|
805 | DO i = 1, (nx+1)/2 - 1 |
---|
806 | ar(nx+1-i) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
807 | ENDDO |
---|
808 | |
---|
809 | ELSE |
---|
810 | |
---|
811 | x_out(0) = CMPLX( ar(0), 0.0 ) |
---|
812 | DO i = 1, (nx+1)/2 - 1 |
---|
813 | x_out(i) = CMPLX( ar(i), ar(nx+1-i) ) |
---|
814 | ENDDO |
---|
815 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0 ) |
---|
816 | |
---|
817 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
818 | ar(0:nx) = x_in(0:nx) |
---|
819 | |
---|
820 | ENDIF |
---|
821 | #endif |
---|
822 | |
---|
823 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
824 | |
---|
825 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
---|
826 | IF ( forward_fft ) THEN |
---|
827 | |
---|
828 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
829 | aux2, nau2 ) |
---|
830 | |
---|
831 | DO i = 0, (nx+1)/2 |
---|
832 | ar(i) = work(2*i) |
---|
833 | ENDDO |
---|
834 | DO i = 1, (nx+1)/2 - 1 |
---|
835 | ar(nx+1-i) = work(2*i+1) |
---|
836 | ENDDO |
---|
837 | |
---|
838 | ELSE |
---|
839 | |
---|
840 | DO i = 0, (nx+1)/2 |
---|
841 | work(2*i) = ar(i) |
---|
842 | ENDDO |
---|
843 | DO i = 1, (nx+1)/2 - 1 |
---|
844 | work(2*i+1) = ar(nx+1-i) |
---|
845 | ENDDO |
---|
846 | work(1) = 0.0 |
---|
847 | work(nx+2) = 0.0 |
---|
848 | |
---|
849 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
850 | aux4, nau2 ) |
---|
851 | |
---|
852 | DO i = 0, nx |
---|
853 | ar(i) = work(i) |
---|
854 | ENDDO |
---|
855 | |
---|
856 | ENDIF |
---|
857 | #elif defined( __nec ) |
---|
858 | IF ( forward_fft ) THEN |
---|
859 | |
---|
860 | work(0:nx) = ar(0:nx) |
---|
861 | |
---|
862 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
863 | |
---|
864 | DO i = 0, (nx+1)/2 |
---|
865 | ar(i) = work(2*i) |
---|
866 | ENDDO |
---|
867 | DO i = 1, (nx+1)/2 - 1 |
---|
868 | ar(nx+1-i) = work(2*i+1) |
---|
869 | ENDDO |
---|
870 | |
---|
871 | ELSE |
---|
872 | |
---|
873 | DO i = 0, (nx+1)/2 |
---|
874 | work(2*i) = ar(i) |
---|
875 | ENDDO |
---|
876 | DO i = 1, (nx+1)/2 - 1 |
---|
877 | work(2*i+1) = ar(nx+1-i) |
---|
878 | ENDDO |
---|
879 | work(1) = 0.0 |
---|
880 | work(nx+2) = 0.0 |
---|
881 | |
---|
882 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
883 | |
---|
884 | ar(0:nx) = work(0:nx) |
---|
885 | |
---|
886 | ENDIF |
---|
887 | #else |
---|
888 | message_string = 'no system-specific fft-call available' |
---|
889 | CALL message( 'fft_x_1d', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
890 | #endif |
---|
891 | ELSE |
---|
892 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
893 | '" not available' |
---|
894 | CALL message( 'fft_x_1d', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
895 | |
---|
896 | ENDIF |
---|
897 | |
---|
898 | END SUBROUTINE fft_x_1d |
---|
899 | |
---|
900 | SUBROUTINE fft_y( ar, direction, ar_tr, nxl_y_bound, nxr_y_bound, nxl_y_l, & |
---|
901 | nxr_y_l ) |
---|
902 | |
---|
903 | !----------------------------------------------------------------------! |
---|
904 | ! fft_y ! |
---|
905 | ! ! |
---|
906 | ! Fourier-transformation along y-direction ! |
---|
907 | ! Version for 2D-decomposition ! |
---|
908 | ! ! |
---|
909 | ! fft_y uses internal algorithms (Singleton or Temperton) or ! |
---|
910 | ! system-specific routines, if they are available ! |
---|
911 | ! ! |
---|
912 | ! direction: 'forward' or 'backward' ! |
---|
913 | ! ar, ar_tr: 3D data arrays ! |
---|
914 | ! forward: ar: before ar_tr: after transformation ! |
---|
915 | ! backward: ar_tr: before ar: after transfosition ! |
---|
916 | ! ! |
---|
917 | ! In case of non-overlapping transposition/transformation: ! |
---|
918 | ! nxl_y_bound = nxl_y_l = nxl_y ! |
---|
919 | ! nxr_y_bound = nxr_y_l = nxr_y ! |
---|
920 | ! ! |
---|
921 | ! In case of overlapping transposition/transformation ! |
---|
922 | ! - nxl_y_bound and nxr_y_bound have the original values of ! |
---|
923 | ! nxl_y, nxr_y. ar_tr is dimensioned using these values. ! |
---|
924 | ! - nxl_y_l = nxr_y_r. ar is dimensioned with these values, so that ! |
---|
925 | ! transformation is carried out for a 2D-plane only. ! |
---|
926 | !----------------------------------------------------------------------! |
---|
927 | |
---|
928 | USE cuda_fft_interfaces |
---|
929 | #if defined( __cuda_fft ) |
---|
930 | USE ISO_C_BINDING |
---|
931 | #endif |
---|
932 | |
---|
933 | IMPLICIT NONE |
---|
934 | |
---|
935 | CHARACTER (LEN=*) :: direction |
---|
936 | INTEGER :: i, j, jshape(1), k |
---|
937 | INTEGER :: nxl_y_bound, nxl_y_l, nxr_y_bound, nxr_y_l |
---|
938 | |
---|
939 | LOGICAL :: forward_fft |
---|
940 | |
---|
941 | REAL, DIMENSION(0:ny+2) :: work |
---|
942 | REAL, DIMENSION(ny+2) :: work1 |
---|
943 | COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork |
---|
944 | #if defined( __ibm ) |
---|
945 | REAL, DIMENSION(nau2) :: auy2, auy4 |
---|
946 | #elif defined( __nec ) |
---|
947 | REAL, DIMENSION(6*(ny+1)) :: work2 |
---|
948 | #elif defined( __cuda_fft ) |
---|
949 | !$acc declare create( ar_tmp ) |
---|
950 | COMPLEX(dpk), DIMENSION(0:(ny+1)/2,nxl_y:nxr_y,nzb_y:nzt_y) :: ar_tmp |
---|
951 | #endif |
---|
952 | REAL, DIMENSION(0:ny,nxl_y_l:nxr_y_l,nzb_y:nzt_y) :: ar |
---|
953 | REAL, DIMENSION(0:ny,nxl_y_bound:nxr_y_bound,nzb_y:nzt_y) :: ar_tr |
---|
954 | |
---|
955 | IF ( direction == 'forward' ) THEN |
---|
956 | forward_fft = .TRUE. |
---|
957 | ELSE |
---|
958 | forward_fft = .FALSE. |
---|
959 | ENDIF |
---|
960 | |
---|
961 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
962 | |
---|
963 | ! |
---|
964 | !-- Performing the fft with singleton's software works on every system, |
---|
965 | !-- since it is part of the model |
---|
966 | ALLOCATE( cwork(0:ny) ) |
---|
967 | |
---|
968 | IF ( forward_fft ) then |
---|
969 | |
---|
970 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
971 | !$OMP DO |
---|
972 | DO k = nzb_y, nzt_y |
---|
973 | DO i = nxl_y_l, nxr_y_l |
---|
974 | |
---|
975 | DO j = 0, ny |
---|
976 | cwork(j) = CMPLX( ar(j,i,k) ) |
---|
977 | ENDDO |
---|
978 | |
---|
979 | jshape = SHAPE( cwork ) |
---|
980 | CALL FFTN( cwork, jshape ) |
---|
981 | |
---|
982 | DO j = 0, (ny+1)/2 |
---|
983 | ar_tr(j,i,k) = REAL( cwork(j) ) |
---|
984 | ENDDO |
---|
985 | DO j = 1, (ny+1)/2 - 1 |
---|
986 | ar_tr(ny+1-j,i,k) = -AIMAG( cwork(j) ) |
---|
987 | ENDDO |
---|
988 | |
---|
989 | ENDDO |
---|
990 | ENDDO |
---|
991 | !$OMP END PARALLEL |
---|
992 | |
---|
993 | ELSE |
---|
994 | |
---|
995 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
996 | !$OMP DO |
---|
997 | DO k = nzb_y, nzt_y |
---|
998 | DO i = nxl_y_l, nxr_y_l |
---|
999 | |
---|
1000 | cwork(0) = CMPLX( ar_tr(0,i,k), 0.0 ) |
---|
1001 | DO j = 1, (ny+1)/2 - 1 |
---|
1002 | cwork(j) = CMPLX( ar_tr(j,i,k), -ar_tr(ny+1-j,i,k) ) |
---|
1003 | cwork(ny+1-j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k) ) |
---|
1004 | ENDDO |
---|
1005 | cwork((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0 ) |
---|
1006 | |
---|
1007 | jshape = SHAPE( cwork ) |
---|
1008 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
1009 | |
---|
1010 | DO j = 0, ny |
---|
1011 | ar(j,i,k) = REAL( cwork(j) ) |
---|
1012 | ENDDO |
---|
1013 | |
---|
1014 | ENDDO |
---|
1015 | ENDDO |
---|
1016 | !$OMP END PARALLEL |
---|
1017 | |
---|
1018 | ENDIF |
---|
1019 | |
---|
1020 | DEALLOCATE( cwork ) |
---|
1021 | |
---|
1022 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1023 | |
---|
1024 | ! |
---|
1025 | !-- Performing the fft with Temperton's software works on every system, |
---|
1026 | !-- since it is part of the model |
---|
1027 | IF ( forward_fft ) THEN |
---|
1028 | |
---|
1029 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1030 | !$OMP DO |
---|
1031 | DO k = nzb_y, nzt_y |
---|
1032 | DO i = nxl_y_l, nxr_y_l |
---|
1033 | |
---|
1034 | work(0:ny) = ar(0:ny,i,k) |
---|
1035 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
1036 | |
---|
1037 | DO j = 0, (ny+1)/2 |
---|
1038 | ar_tr(j,i,k) = work(2*j) |
---|
1039 | ENDDO |
---|
1040 | DO j = 1, (ny+1)/2 - 1 |
---|
1041 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1042 | ENDDO |
---|
1043 | |
---|
1044 | ENDDO |
---|
1045 | ENDDO |
---|
1046 | !$OMP END PARALLEL |
---|
1047 | |
---|
1048 | ELSE |
---|
1049 | |
---|
1050 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1051 | !$OMP DO |
---|
1052 | DO k = nzb_y, nzt_y |
---|
1053 | DO i = nxl_y_l, nxr_y_l |
---|
1054 | |
---|
1055 | DO j = 0, (ny+1)/2 |
---|
1056 | work(2*j) = ar_tr(j,i,k) |
---|
1057 | ENDDO |
---|
1058 | DO j = 1, (ny+1)/2 - 1 |
---|
1059 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1060 | ENDDO |
---|
1061 | work(1) = 0.0 |
---|
1062 | work(ny+2) = 0.0 |
---|
1063 | |
---|
1064 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
1065 | ar(0:ny,i,k) = work(0:ny) |
---|
1066 | |
---|
1067 | ENDDO |
---|
1068 | ENDDO |
---|
1069 | !$OMP END PARALLEL |
---|
1070 | |
---|
1071 | ENDIF |
---|
1072 | |
---|
1073 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
1074 | |
---|
1075 | #if defined( __fftw ) |
---|
1076 | IF ( forward_fft ) THEN |
---|
1077 | |
---|
1078 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1079 | !$OMP DO |
---|
1080 | DO k = nzb_y, nzt_y |
---|
1081 | DO i = nxl_y_l, nxr_y_l |
---|
1082 | |
---|
1083 | y_in(0:ny) = ar(0:ny,i,k) |
---|
1084 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
1085 | |
---|
1086 | DO j = 0, (ny+1)/2 |
---|
1087 | ar_tr(j,i,k) = REAL( y_out(j) ) / (ny+1) |
---|
1088 | ENDDO |
---|
1089 | DO j = 1, (ny+1)/2 - 1 |
---|
1090 | ar_tr(ny+1-j,i,k) = AIMAG( y_out(j) ) / (ny+1) |
---|
1091 | ENDDO |
---|
1092 | |
---|
1093 | ENDDO |
---|
1094 | ENDDO |
---|
1095 | !$OMP END PARALLEL |
---|
1096 | |
---|
1097 | ELSE |
---|
1098 | |
---|
1099 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1100 | !$OMP DO |
---|
1101 | DO k = nzb_y, nzt_y |
---|
1102 | DO i = nxl_y_l, nxr_y_l |
---|
1103 | |
---|
1104 | y_out(0) = CMPLX( ar_tr(0,i,k), 0.0 ) |
---|
1105 | DO j = 1, (ny+1)/2 - 1 |
---|
1106 | y_out(j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k) ) |
---|
1107 | ENDDO |
---|
1108 | y_out((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0 ) |
---|
1109 | |
---|
1110 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
1111 | ar(0:ny,i,k) = y_in(0:ny) |
---|
1112 | |
---|
1113 | ENDDO |
---|
1114 | ENDDO |
---|
1115 | !$OMP END PARALLEL |
---|
1116 | |
---|
1117 | ENDIF |
---|
1118 | #endif |
---|
1119 | |
---|
1120 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1121 | |
---|
1122 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
---|
1123 | IF ( forward_fft) THEN |
---|
1124 | |
---|
1125 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1126 | !$OMP DO |
---|
1127 | DO k = nzb_y, nzt_y |
---|
1128 | DO i = nxl_y_l, nxr_y_l |
---|
1129 | |
---|
1130 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
1131 | auy2, nau2 ) |
---|
1132 | |
---|
1133 | DO j = 0, (ny+1)/2 |
---|
1134 | ar_tr(j,i,k) = work(2*j) |
---|
1135 | ENDDO |
---|
1136 | DO j = 1, (ny+1)/2 - 1 |
---|
1137 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1138 | ENDDO |
---|
1139 | |
---|
1140 | ENDDO |
---|
1141 | ENDDO |
---|
1142 | !$OMP END PARALLEL |
---|
1143 | |
---|
1144 | ELSE |
---|
1145 | |
---|
1146 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1147 | !$OMP DO |
---|
1148 | DO k = nzb_y, nzt_y |
---|
1149 | DO i = nxl_y_l, nxr_y_l |
---|
1150 | |
---|
1151 | DO j = 0, (ny+1)/2 |
---|
1152 | work(2*j) = ar_tr(j,i,k) |
---|
1153 | ENDDO |
---|
1154 | DO j = 1, (ny+1)/2 - 1 |
---|
1155 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1156 | ENDDO |
---|
1157 | work(1) = 0.0 |
---|
1158 | work(ny+2) = 0.0 |
---|
1159 | |
---|
1160 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
---|
1161 | auy4, nau2 ) |
---|
1162 | |
---|
1163 | DO j = 0, ny |
---|
1164 | ar(j,i,k) = work(j) |
---|
1165 | ENDDO |
---|
1166 | |
---|
1167 | ENDDO |
---|
1168 | ENDDO |
---|
1169 | !$OMP END PARALLEL |
---|
1170 | |
---|
1171 | ENDIF |
---|
1172 | #elif defined( __nec ) |
---|
1173 | IF ( forward_fft ) THEN |
---|
1174 | |
---|
1175 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1176 | !$OMP DO |
---|
1177 | DO k = nzb_y, nzt_y |
---|
1178 | DO i = nxl_y_l, nxr_y_l |
---|
1179 | |
---|
1180 | work(0:ny) = ar(0:ny,i,k) |
---|
1181 | |
---|
1182 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
1183 | |
---|
1184 | DO j = 0, (ny+1)/2 |
---|
1185 | ar_tr(j,i,k) = work(2*j) |
---|
1186 | ENDDO |
---|
1187 | DO j = 1, (ny+1)/2 - 1 |
---|
1188 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1189 | ENDDO |
---|
1190 | |
---|
1191 | ENDDO |
---|
1192 | ENDDO |
---|
1193 | !$END OMP PARALLEL |
---|
1194 | |
---|
1195 | ELSE |
---|
1196 | |
---|
1197 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1198 | !$OMP DO |
---|
1199 | DO k = nzb_y, nzt_y |
---|
1200 | DO i = nxl_y_l, nxr_y_l |
---|
1201 | |
---|
1202 | DO j = 0, (ny+1)/2 |
---|
1203 | work(2*j) = ar_tr(j,i,k) |
---|
1204 | ENDDO |
---|
1205 | DO j = 1, (ny+1)/2 - 1 |
---|
1206 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1207 | ENDDO |
---|
1208 | work(1) = 0.0 |
---|
1209 | work(ny+2) = 0.0 |
---|
1210 | |
---|
1211 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
1212 | |
---|
1213 | ar(0:ny,i,k) = work(0:ny) |
---|
1214 | |
---|
1215 | ENDDO |
---|
1216 | ENDDO |
---|
1217 | !$OMP END PARALLEL |
---|
1218 | |
---|
1219 | ENDIF |
---|
1220 | #elif defined( __cuda_fft ) |
---|
1221 | |
---|
1222 | IF ( forward_fft ) THEN |
---|
1223 | |
---|
1224 | !$acc data present( ar ) |
---|
1225 | CALL CUFFTEXECD2Z( plan_yf, ar, ar_tmp ) |
---|
1226 | |
---|
1227 | !$acc kernels |
---|
1228 | !$acc loop |
---|
1229 | DO k = nzb_y, nzt_y |
---|
1230 | DO i = nxl_y, nxr_y |
---|
1231 | |
---|
1232 | !$acc loop vector( 32 ) |
---|
1233 | DO j = 0, (ny+1)/2 |
---|
1234 | ar(j,i,k) = REAL( ar_tmp(j,i,k) ) * dny |
---|
1235 | ENDDO |
---|
1236 | |
---|
1237 | !$acc loop vector( 32 ) |
---|
1238 | DO j = 1, (ny+1)/2 - 1 |
---|
1239 | ar(ny+1-j,i,k) = AIMAG( ar_tmp(j,i,k) ) * dny |
---|
1240 | ENDDO |
---|
1241 | |
---|
1242 | ENDDO |
---|
1243 | ENDDO |
---|
1244 | !$acc end kernels |
---|
1245 | !$acc end data |
---|
1246 | |
---|
1247 | ELSE |
---|
1248 | |
---|
1249 | !$acc data present( ar ) |
---|
1250 | !$acc kernels |
---|
1251 | !$acc loop |
---|
1252 | DO k = nzb_y, nzt_y |
---|
1253 | DO i = nxl_y, nxr_y |
---|
1254 | |
---|
1255 | ar_tmp(0,i,k) = CMPLX( ar(0,i,k), 0.0 ) |
---|
1256 | |
---|
1257 | !$acc loop vector( 32 ) |
---|
1258 | DO j = 1, (ny+1)/2 - 1 |
---|
1259 | ar_tmp(j,i,k) = CMPLX( ar(j,i,k), ar(ny+1-j,i,k) ) |
---|
1260 | ENDDO |
---|
1261 | ar_tmp((ny+1)/2,i,k) = CMPLX( ar((ny+1)/2,i,k), 0.0 ) |
---|
1262 | |
---|
1263 | ENDDO |
---|
1264 | ENDDO |
---|
1265 | !$acc end kernels |
---|
1266 | |
---|
1267 | CALL CUFFTEXECZ2D( plan_yi, ar_tmp, ar ) |
---|
1268 | !$acc end data |
---|
1269 | |
---|
1270 | ENDIF |
---|
1271 | |
---|
1272 | #else |
---|
1273 | message_string = 'no system-specific fft-call available' |
---|
1274 | CALL message( 'fft_y', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1275 | #endif |
---|
1276 | |
---|
1277 | ELSE |
---|
1278 | |
---|
1279 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1280 | '" not available' |
---|
1281 | CALL message( 'fft_y', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1282 | |
---|
1283 | ENDIF |
---|
1284 | |
---|
1285 | END SUBROUTINE fft_y |
---|
1286 | |
---|
1287 | SUBROUTINE fft_y_1d( ar, direction ) |
---|
1288 | |
---|
1289 | !----------------------------------------------------------------------! |
---|
1290 | ! fft_y_1d ! |
---|
1291 | ! ! |
---|
1292 | ! Fourier-transformation along y-direction ! |
---|
1293 | ! Version for 1D-decomposition ! |
---|
1294 | ! ! |
---|
1295 | ! fft_y uses internal algorithms (Singleton or Temperton) or ! |
---|
1296 | ! system-specific routines, if they are available ! |
---|
1297 | !----------------------------------------------------------------------! |
---|
1298 | |
---|
1299 | IMPLICIT NONE |
---|
1300 | |
---|
1301 | CHARACTER (LEN=*) :: direction |
---|
1302 | INTEGER :: j, jshape(1) |
---|
1303 | |
---|
1304 | LOGICAL :: forward_fft |
---|
1305 | |
---|
1306 | REAL, DIMENSION(0:ny) :: ar |
---|
1307 | REAL, DIMENSION(0:ny+2) :: work |
---|
1308 | REAL, DIMENSION(ny+2) :: work1 |
---|
1309 | COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork |
---|
1310 | #if defined( __ibm ) |
---|
1311 | REAL, DIMENSION(nau2) :: auy2, auy4 |
---|
1312 | #elif defined( __nec ) |
---|
1313 | REAL, DIMENSION(6*(ny+1)) :: work2 |
---|
1314 | #endif |
---|
1315 | |
---|
1316 | IF ( direction == 'forward' ) THEN |
---|
1317 | forward_fft = .TRUE. |
---|
1318 | ELSE |
---|
1319 | forward_fft = .FALSE. |
---|
1320 | ENDIF |
---|
1321 | |
---|
1322 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
1323 | |
---|
1324 | ! |
---|
1325 | !-- Performing the fft with singleton's software works on every system, |
---|
1326 | !-- since it is part of the model |
---|
1327 | ALLOCATE( cwork(0:ny) ) |
---|
1328 | |
---|
1329 | IF ( forward_fft ) THEN |
---|
1330 | |
---|
1331 | DO j = 0, ny |
---|
1332 | cwork(j) = CMPLX( ar(j) ) |
---|
1333 | ENDDO |
---|
1334 | |
---|
1335 | jshape = SHAPE( cwork ) |
---|
1336 | CALL FFTN( cwork, jshape ) |
---|
1337 | |
---|
1338 | DO j = 0, (ny+1)/2 |
---|
1339 | ar(j) = REAL( cwork(j) ) |
---|
1340 | ENDDO |
---|
1341 | DO j = 1, (ny+1)/2 - 1 |
---|
1342 | ar(ny+1-j) = -AIMAG( cwork(j) ) |
---|
1343 | ENDDO |
---|
1344 | |
---|
1345 | ELSE |
---|
1346 | |
---|
1347 | cwork(0) = CMPLX( ar(0), 0.0 ) |
---|
1348 | DO j = 1, (ny+1)/2 - 1 |
---|
1349 | cwork(j) = CMPLX( ar(j), -ar(ny+1-j) ) |
---|
1350 | cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j) ) |
---|
1351 | ENDDO |
---|
1352 | cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0 ) |
---|
1353 | |
---|
1354 | jshape = SHAPE( cwork ) |
---|
1355 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
1356 | |
---|
1357 | DO j = 0, ny |
---|
1358 | ar(j) = REAL( cwork(j) ) |
---|
1359 | ENDDO |
---|
1360 | |
---|
1361 | ENDIF |
---|
1362 | |
---|
1363 | DEALLOCATE( cwork ) |
---|
1364 | |
---|
1365 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1366 | |
---|
1367 | ! |
---|
1368 | !-- Performing the fft with Temperton's software works on every system, |
---|
1369 | !-- since it is part of the model |
---|
1370 | IF ( forward_fft ) THEN |
---|
1371 | |
---|
1372 | work(0:ny) = ar |
---|
1373 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
1374 | |
---|
1375 | DO j = 0, (ny+1)/2 |
---|
1376 | ar(j) = work(2*j) |
---|
1377 | ENDDO |
---|
1378 | DO j = 1, (ny+1)/2 - 1 |
---|
1379 | ar(ny+1-j) = work(2*j+1) |
---|
1380 | ENDDO |
---|
1381 | |
---|
1382 | ELSE |
---|
1383 | |
---|
1384 | DO j = 0, (ny+1)/2 |
---|
1385 | work(2*j) = ar(j) |
---|
1386 | ENDDO |
---|
1387 | DO j = 1, (ny+1)/2 - 1 |
---|
1388 | work(2*j+1) = ar(ny+1-j) |
---|
1389 | ENDDO |
---|
1390 | work(1) = 0.0 |
---|
1391 | work(ny+2) = 0.0 |
---|
1392 | |
---|
1393 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
1394 | ar = work(0:ny) |
---|
1395 | |
---|
1396 | ENDIF |
---|
1397 | |
---|
1398 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
1399 | |
---|
1400 | #if defined( __fftw ) |
---|
1401 | IF ( forward_fft ) THEN |
---|
1402 | |
---|
1403 | y_in(0:ny) = ar(0:ny) |
---|
1404 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
1405 | |
---|
1406 | DO j = 0, (ny+1)/2 |
---|
1407 | ar(j) = REAL( y_out(j) ) / (ny+1) |
---|
1408 | ENDDO |
---|
1409 | DO j = 1, (ny+1)/2 - 1 |
---|
1410 | ar(ny+1-j) = AIMAG( y_out(j) ) / (ny+1) |
---|
1411 | ENDDO |
---|
1412 | |
---|
1413 | ELSE |
---|
1414 | |
---|
1415 | y_out(0) = CMPLX( ar(0), 0.0 ) |
---|
1416 | DO j = 1, (ny+1)/2 - 1 |
---|
1417 | y_out(j) = CMPLX( ar(j), ar(ny+1-j) ) |
---|
1418 | ENDDO |
---|
1419 | y_out((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0 ) |
---|
1420 | |
---|
1421 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
1422 | ar(0:ny) = y_in(0:ny) |
---|
1423 | |
---|
1424 | ENDIF |
---|
1425 | #endif |
---|
1426 | |
---|
1427 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1428 | |
---|
1429 | #if defined( __ibm ) && ! defined( __ibmy_special ) |
---|
1430 | IF ( forward_fft ) THEN |
---|
1431 | |
---|
1432 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
1433 | auy2, nau2 ) |
---|
1434 | |
---|
1435 | DO j = 0, (ny+1)/2 |
---|
1436 | ar(j) = work(2*j) |
---|
1437 | ENDDO |
---|
1438 | DO j = 1, (ny+1)/2 - 1 |
---|
1439 | ar(ny+1-j) = work(2*j+1) |
---|
1440 | ENDDO |
---|
1441 | |
---|
1442 | ELSE |
---|
1443 | |
---|
1444 | DO j = 0, (ny+1)/2 |
---|
1445 | work(2*j) = ar(j) |
---|
1446 | ENDDO |
---|
1447 | DO j = 1, (ny+1)/2 - 1 |
---|
1448 | work(2*j+1) = ar(ny+1-j) |
---|
1449 | ENDDO |
---|
1450 | work(1) = 0.0 |
---|
1451 | work(ny+2) = 0.0 |
---|
1452 | |
---|
1453 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
---|
1454 | auy4, nau2 ) |
---|
1455 | |
---|
1456 | DO j = 0, ny |
---|
1457 | ar(j) = work(j) |
---|
1458 | ENDDO |
---|
1459 | |
---|
1460 | ENDIF |
---|
1461 | #elif defined( __nec ) |
---|
1462 | IF ( forward_fft ) THEN |
---|
1463 | |
---|
1464 | work(0:ny) = ar(0:ny) |
---|
1465 | |
---|
1466 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
1467 | |
---|
1468 | DO j = 0, (ny+1)/2 |
---|
1469 | ar(j) = work(2*j) |
---|
1470 | ENDDO |
---|
1471 | DO j = 1, (ny+1)/2 - 1 |
---|
1472 | ar(ny+1-j) = work(2*j+1) |
---|
1473 | ENDDO |
---|
1474 | |
---|
1475 | ELSE |
---|
1476 | |
---|
1477 | DO j = 0, (ny+1)/2 |
---|
1478 | work(2*j) = ar(j) |
---|
1479 | ENDDO |
---|
1480 | DO j = 1, (ny+1)/2 - 1 |
---|
1481 | work(2*j+1) = ar(ny+1-j) |
---|
1482 | ENDDO |
---|
1483 | work(1) = 0.0 |
---|
1484 | work(ny+2) = 0.0 |
---|
1485 | |
---|
1486 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
1487 | |
---|
1488 | ar(0:ny) = work(0:ny) |
---|
1489 | |
---|
1490 | ENDIF |
---|
1491 | #else |
---|
1492 | message_string = 'no system-specific fft-call available' |
---|
1493 | CALL message( 'fft_y_1d', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1494 | |
---|
1495 | #endif |
---|
1496 | |
---|
1497 | ELSE |
---|
1498 | |
---|
1499 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1500 | '" not available' |
---|
1501 | CALL message( 'fft_y_1d', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1502 | |
---|
1503 | ENDIF |
---|
1504 | |
---|
1505 | END SUBROUTINE fft_y_1d |
---|
1506 | |
---|
1507 | SUBROUTINE fft_x_m( ar, direction ) |
---|
1508 | |
---|
1509 | !----------------------------------------------------------------------! |
---|
1510 | ! fft_x_m ! |
---|
1511 | ! ! |
---|
1512 | ! Fourier-transformation along x-direction ! |
---|
1513 | ! Version for 1d domain decomposition ! |
---|
1514 | ! using multiple 1D FFT from Math Keisan on NEC ! |
---|
1515 | ! or Temperton-algorithm ! |
---|
1516 | ! (no singleton-algorithm on NEC because it does not vectorize) ! |
---|
1517 | ! ! |
---|
1518 | !----------------------------------------------------------------------! |
---|
1519 | |
---|
1520 | IMPLICIT NONE |
---|
1521 | |
---|
1522 | CHARACTER (LEN=*) :: direction |
---|
1523 | INTEGER :: i, k, siza |
---|
1524 | |
---|
1525 | REAL, DIMENSION(0:nx,nz) :: ar |
---|
1526 | REAL, DIMENSION(0:nx+3,nz+1) :: ai |
---|
1527 | REAL, DIMENSION(6*(nx+4),nz+1) :: work1 |
---|
1528 | #if defined( __nec ) |
---|
1529 | INTEGER :: sizw |
---|
1530 | COMPLEX, DIMENSION((nx+4)/2+1,nz+1) :: work |
---|
1531 | #endif |
---|
1532 | |
---|
1533 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1534 | |
---|
1535 | siza = SIZE( ai, 1 ) |
---|
1536 | |
---|
1537 | IF ( direction == 'forward') THEN |
---|
1538 | |
---|
1539 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
1540 | ai(nx+1:,:) = 0.0 |
---|
1541 | |
---|
1542 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 ) |
---|
1543 | |
---|
1544 | DO k = 1, nz |
---|
1545 | DO i = 0, (nx+1)/2 |
---|
1546 | ar(i,k) = ai(2*i,k) |
---|
1547 | ENDDO |
---|
1548 | DO i = 1, (nx+1)/2 - 1 |
---|
1549 | ar(nx+1-i,k) = ai(2*i+1,k) |
---|
1550 | ENDDO |
---|
1551 | ENDDO |
---|
1552 | |
---|
1553 | ELSE |
---|
1554 | |
---|
1555 | DO k = 1, nz |
---|
1556 | DO i = 0, (nx+1)/2 |
---|
1557 | ai(2*i,k) = ar(i,k) |
---|
1558 | ENDDO |
---|
1559 | DO i = 1, (nx+1)/2 - 1 |
---|
1560 | ai(2*i+1,k) = ar(nx+1-i,k) |
---|
1561 | ENDDO |
---|
1562 | ai(1,k) = 0.0 |
---|
1563 | ai(nx+2,k) = 0.0 |
---|
1564 | ENDDO |
---|
1565 | |
---|
1566 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 ) |
---|
1567 | |
---|
1568 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
1569 | |
---|
1570 | ENDIF |
---|
1571 | |
---|
1572 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1573 | |
---|
1574 | #if defined( __nec ) |
---|
1575 | siza = SIZE( ai, 1 ) |
---|
1576 | sizw = SIZE( work, 1 ) |
---|
1577 | |
---|
1578 | IF ( direction == 'forward') THEN |
---|
1579 | |
---|
1580 | ! |
---|
1581 | !-- Tables are initialized once more. This call should not be |
---|
1582 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1583 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
1584 | trig_xf, work1, 0 ) |
---|
1585 | |
---|
1586 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
1587 | IF ( nz1 > nz ) THEN |
---|
1588 | ai(:,nz1) = 0.0 |
---|
1589 | ENDIF |
---|
1590 | |
---|
1591 | CALL DZFFTM( 1, nx+1, nz1, sqr_dnx, ai, siza, work, sizw, & |
---|
1592 | trig_xf, work1, 0 ) |
---|
1593 | |
---|
1594 | DO k = 1, nz |
---|
1595 | DO i = 0, (nx+1)/2 |
---|
1596 | ar(i,k) = REAL( work(i+1,k) ) |
---|
1597 | ENDDO |
---|
1598 | DO i = 1, (nx+1)/2 - 1 |
---|
1599 | ar(nx+1-i,k) = AIMAG( work(i+1,k) ) |
---|
1600 | ENDDO |
---|
1601 | ENDDO |
---|
1602 | |
---|
1603 | ELSE |
---|
1604 | |
---|
1605 | ! |
---|
1606 | !-- Tables are initialized once more. This call should not be |
---|
1607 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1608 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
1609 | trig_xb, work1, 0 ) |
---|
1610 | |
---|
1611 | IF ( nz1 > nz ) THEN |
---|
1612 | work(:,nz1) = 0.0 |
---|
1613 | ENDIF |
---|
1614 | DO k = 1, nz |
---|
1615 | work(1,k) = CMPLX( ar(0,k), 0.0 ) |
---|
1616 | DO i = 1, (nx+1)/2 - 1 |
---|
1617 | work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k) ) |
---|
1618 | ENDDO |
---|
1619 | work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0 ) |
---|
1620 | ENDDO |
---|
1621 | |
---|
1622 | CALL ZDFFTM( -1, nx+1, nz1, sqr_dnx, work, sizw, ai, siza, & |
---|
1623 | trig_xb, work1, 0 ) |
---|
1624 | |
---|
1625 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
1626 | |
---|
1627 | ENDIF |
---|
1628 | |
---|
1629 | #else |
---|
1630 | message_string = 'no system-specific fft-call available' |
---|
1631 | CALL message( 'fft_x_m', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1632 | #endif |
---|
1633 | |
---|
1634 | ELSE |
---|
1635 | |
---|
1636 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1637 | '" not available' |
---|
1638 | CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1639 | |
---|
1640 | ENDIF |
---|
1641 | |
---|
1642 | END SUBROUTINE fft_x_m |
---|
1643 | |
---|
1644 | SUBROUTINE fft_y_m( ar, ny1, direction ) |
---|
1645 | |
---|
1646 | !----------------------------------------------------------------------! |
---|
1647 | ! fft_y_m ! |
---|
1648 | ! ! |
---|
1649 | ! Fourier-transformation along y-direction ! |
---|
1650 | ! Version for 1d domain decomposition ! |
---|
1651 | ! using multiple 1D FFT from Math Keisan on NEC ! |
---|
1652 | ! or Temperton-algorithm ! |
---|
1653 | ! (no singleton-algorithm on NEC because it does not vectorize) ! |
---|
1654 | ! ! |
---|
1655 | !----------------------------------------------------------------------! |
---|
1656 | |
---|
1657 | IMPLICIT NONE |
---|
1658 | |
---|
1659 | CHARACTER (LEN=*) :: direction |
---|
1660 | INTEGER :: j, k, ny1, siza |
---|
1661 | |
---|
1662 | REAL, DIMENSION(0:ny1,nz) :: ar |
---|
1663 | REAL, DIMENSION(0:ny+3,nz+1) :: ai |
---|
1664 | REAL, DIMENSION(6*(ny+4),nz+1) :: work1 |
---|
1665 | #if defined( __nec ) |
---|
1666 | INTEGER :: sizw |
---|
1667 | COMPLEX, DIMENSION((ny+4)/2+1,nz+1) :: work |
---|
1668 | #endif |
---|
1669 | |
---|
1670 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1671 | |
---|
1672 | siza = SIZE( ai, 1 ) |
---|
1673 | |
---|
1674 | IF ( direction == 'forward') THEN |
---|
1675 | |
---|
1676 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
1677 | ai(ny+1:,:) = 0.0 |
---|
1678 | |
---|
1679 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 ) |
---|
1680 | |
---|
1681 | DO k = 1, nz |
---|
1682 | DO j = 0, (ny+1)/2 |
---|
1683 | ar(j,k) = ai(2*j,k) |
---|
1684 | ENDDO |
---|
1685 | DO j = 1, (ny+1)/2 - 1 |
---|
1686 | ar(ny+1-j,k) = ai(2*j+1,k) |
---|
1687 | ENDDO |
---|
1688 | ENDDO |
---|
1689 | |
---|
1690 | ELSE |
---|
1691 | |
---|
1692 | DO k = 1, nz |
---|
1693 | DO j = 0, (ny+1)/2 |
---|
1694 | ai(2*j,k) = ar(j,k) |
---|
1695 | ENDDO |
---|
1696 | DO j = 1, (ny+1)/2 - 1 |
---|
1697 | ai(2*j+1,k) = ar(ny+1-j,k) |
---|
1698 | ENDDO |
---|
1699 | ai(1,k) = 0.0 |
---|
1700 | ai(ny+2,k) = 0.0 |
---|
1701 | ENDDO |
---|
1702 | |
---|
1703 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 ) |
---|
1704 | |
---|
1705 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
1706 | |
---|
1707 | ENDIF |
---|
1708 | |
---|
1709 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1710 | |
---|
1711 | #if defined( __nec ) |
---|
1712 | siza = SIZE( ai, 1 ) |
---|
1713 | sizw = SIZE( work, 1 ) |
---|
1714 | |
---|
1715 | IF ( direction == 'forward') THEN |
---|
1716 | |
---|
1717 | ! |
---|
1718 | !-- Tables are initialized once more. This call should not be |
---|
1719 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1720 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
1721 | trig_yf, work1, 0 ) |
---|
1722 | |
---|
1723 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
1724 | IF ( nz1 > nz ) THEN |
---|
1725 | ai(:,nz1) = 0.0 |
---|
1726 | ENDIF |
---|
1727 | |
---|
1728 | CALL DZFFTM( 1, ny+1, nz1, sqr_dny, ai, siza, work, sizw, & |
---|
1729 | trig_yf, work1, 0 ) |
---|
1730 | |
---|
1731 | DO k = 1, nz |
---|
1732 | DO j = 0, (ny+1)/2 |
---|
1733 | ar(j,k) = REAL( work(j+1,k) ) |
---|
1734 | ENDDO |
---|
1735 | DO j = 1, (ny+1)/2 - 1 |
---|
1736 | ar(ny+1-j,k) = AIMAG( work(j+1,k) ) |
---|
1737 | ENDDO |
---|
1738 | ENDDO |
---|
1739 | |
---|
1740 | ELSE |
---|
1741 | |
---|
1742 | ! |
---|
1743 | !-- Tables are initialized once more. This call should not be |
---|
1744 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1745 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
1746 | trig_yb, work1, 0 ) |
---|
1747 | |
---|
1748 | IF ( nz1 > nz ) THEN |
---|
1749 | work(:,nz1) = 0.0 |
---|
1750 | ENDIF |
---|
1751 | DO k = 1, nz |
---|
1752 | work(1,k) = CMPLX( ar(0,k), 0.0 ) |
---|
1753 | DO j = 1, (ny+1)/2 - 1 |
---|
1754 | work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k) ) |
---|
1755 | ENDDO |
---|
1756 | work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0 ) |
---|
1757 | ENDDO |
---|
1758 | |
---|
1759 | CALL ZDFFTM( -1, ny+1, nz1, sqr_dny, work, sizw, ai, siza, & |
---|
1760 | trig_yb, work1, 0 ) |
---|
1761 | |
---|
1762 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
1763 | |
---|
1764 | ENDIF |
---|
1765 | |
---|
1766 | #else |
---|
1767 | message_string = 'no system-specific fft-call available' |
---|
1768 | CALL message( 'fft_y_m', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1769 | #endif |
---|
1770 | |
---|
1771 | ELSE |
---|
1772 | |
---|
1773 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1774 | '" not available' |
---|
1775 | CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1776 | |
---|
1777 | ENDIF |
---|
1778 | |
---|
1779 | END SUBROUTINE fft_y_m |
---|
1780 | |
---|
1781 | |
---|
1782 | END MODULE fft_xy |
---|