1 | !> @file fft_xy_mod.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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6 | ! terms of the GNU General Public License as published by the Free Software |
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7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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8 | ! 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 1997-2020 Leibniz Universitaet 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_mod.f90 4366 2020-01-09 08:12:43Z raasch $ |
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27 | ! Vectorized Temperton-fft added |
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28 | ! |
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29 | ! 4360 2020-01-07 11:25:50Z suehring |
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30 | ! Corrected "Former revisions" section |
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31 | ! |
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32 | ! 4069 2019-07-01 14:05:51Z Giersch |
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33 | ! Code added to avoid compiler warnings |
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34 | ! |
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35 | ! 3655 2019-01-07 16:51:22Z knoop |
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36 | ! OpenACC port for SPEC |
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37 | ! |
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38 | ! Revision 1.1 2002/06/11 13:00:49 raasch |
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39 | ! Initial revision |
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40 | ! |
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41 | ! |
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42 | ! Description: |
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43 | ! ------------ |
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44 | !> Fast Fourier transformation along x and y for 1d domain decomposition along x. |
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45 | !> Original version: Klaus Ketelsen (May 2002) |
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46 | !> @todo openmp support for vectorized Temperton fft |
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47 | !------------------------------------------------------------------------------! |
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48 | MODULE fft_xy |
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49 | |
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50 | |
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51 | USE control_parameters, & |
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52 | ONLY: fft_method, loop_optimization, message_string |
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53 | |
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54 | USE cuda_fft_interfaces |
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55 | |
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56 | USE indices, & |
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57 | ONLY: nx, ny, nz |
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58 | |
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59 | #if defined( __cuda_fft ) |
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60 | USE ISO_C_BINDING |
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61 | #elif defined( __fftw ) |
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62 | USE, INTRINSIC :: ISO_C_BINDING |
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63 | #endif |
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64 | |
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65 | USE kinds |
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66 | |
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67 | USE singleton, & |
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68 | ONLY: fftn |
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69 | |
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70 | USE temperton_fft |
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71 | |
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72 | USE transpose_indices, & |
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73 | ONLY: nxl_y, nxr_y, nyn_x, nys_x, nzb_x, nzb_y, nzt_x, nzt_y |
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74 | |
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75 | IMPLICIT NONE |
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76 | |
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77 | PRIVATE |
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78 | PUBLIC fft_x, fft_x_1d, fft_y, fft_y_1d, fft_init, fft_x_m, fft_y_m, f_vec, temperton_fft_vec |
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79 | |
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80 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x !< |
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81 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_y !< |
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82 | |
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83 | LOGICAL, SAVE :: init_fft = .FALSE. !< |
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84 | LOGICAL, SAVE :: temperton_fft_vec = .FALSE. !< |
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85 | |
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86 | REAL(wp), SAVE :: dnx !< |
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87 | REAL(wp), SAVE :: dny !< |
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88 | REAL(wp), SAVE :: sqr_dnx !< |
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89 | REAL(wp), SAVE :: sqr_dny !< |
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90 | |
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91 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x !< |
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92 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_y !< |
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93 | |
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94 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: f_vec |
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95 | |
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96 | #if defined( __ibm ) |
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97 | INTEGER(iwp), PARAMETER :: nau1 = 20000 !< |
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98 | INTEGER(iwp), PARAMETER :: nau2 = 22000 !< |
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99 | ! |
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100 | !-- The following working arrays contain tables and have to be "save" and |
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101 | !-- shared in OpenMP sense |
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102 | REAL(wp), DIMENSION(nau1), SAVE :: aux1 !< |
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103 | REAL(wp), DIMENSION(nau1), SAVE :: auy1 !< |
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104 | REAL(wp), DIMENSION(nau1), SAVE :: aux3 !< |
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105 | REAL(wp), DIMENSION(nau1), SAVE :: auy3 !< |
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106 | |
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107 | #elif defined( __nec ) |
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108 | INTEGER(iwp), SAVE :: nz1 !< |
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109 | |
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110 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb !< |
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111 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xf !< |
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112 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yb !< |
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113 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yf !< |
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114 | |
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115 | #elif defined( __cuda_fft ) |
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116 | INTEGER(C_INT), SAVE :: plan_xf !< |
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117 | INTEGER(C_INT), SAVE :: plan_xi !< |
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118 | INTEGER(C_INT), SAVE :: plan_yf !< |
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119 | INTEGER(C_INT), SAVE :: plan_yi !< |
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120 | |
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121 | #endif |
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122 | |
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123 | #if defined( __fftw ) |
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124 | INCLUDE 'fftw3.f03' |
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125 | INTEGER(KIND=C_INT) :: nx_c !< |
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126 | INTEGER(KIND=C_INT) :: ny_c !< |
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127 | |
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128 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: x_out !< |
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129 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: & |
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130 | y_out !< |
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131 | |
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132 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
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133 | x_in !< |
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134 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
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135 | y_in !< |
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136 | !$OMP THREADPRIVATE( x_out, y_out, x_in, y_in ) |
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137 | |
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138 | |
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139 | TYPE(C_PTR), SAVE :: plan_xf, plan_xi, plan_yf, plan_yi |
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140 | #endif |
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141 | |
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142 | ! |
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143 | !-- Public interfaces |
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144 | INTERFACE fft_init |
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145 | MODULE PROCEDURE fft_init |
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146 | END INTERFACE fft_init |
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147 | |
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148 | INTERFACE fft_x |
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149 | MODULE PROCEDURE fft_x |
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150 | END INTERFACE fft_x |
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151 | |
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152 | INTERFACE fft_x_1d |
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153 | MODULE PROCEDURE fft_x_1d |
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154 | END INTERFACE fft_x_1d |
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155 | |
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156 | INTERFACE fft_y |
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157 | MODULE PROCEDURE fft_y |
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158 | END INTERFACE fft_y |
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159 | |
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160 | INTERFACE fft_y_1d |
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161 | MODULE PROCEDURE fft_y_1d |
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162 | END INTERFACE fft_y_1d |
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163 | |
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164 | INTERFACE fft_x_m |
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165 | MODULE PROCEDURE fft_x_m |
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166 | END INTERFACE fft_x_m |
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167 | |
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168 | INTERFACE fft_y_m |
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169 | MODULE PROCEDURE fft_y_m |
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170 | END INTERFACE fft_y_m |
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171 | |
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172 | CONTAINS |
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173 | |
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174 | |
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175 | !------------------------------------------------------------------------------! |
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176 | ! Description: |
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177 | ! ------------ |
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178 | !> @todo Missing subroutine description. |
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179 | !------------------------------------------------------------------------------! |
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180 | SUBROUTINE fft_init |
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181 | |
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182 | IMPLICIT NONE |
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183 | |
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184 | ! |
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185 | !-- The following temporary working arrays have to be on stack or private |
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186 | !-- in OpenMP sense |
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187 | #if defined( __ibm ) |
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188 | REAL(wp), DIMENSION(0:nx+2) :: workx !< |
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189 | REAL(wp), DIMENSION(0:ny+2) :: worky !< |
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190 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
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191 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
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192 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
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193 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
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194 | #elif defined( __nec ) |
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195 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: work_x !< |
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196 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: work_y !< |
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197 | REAL(wp), DIMENSION(6*(nx+3),nz+1) :: workx !< |
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198 | REAL(wp), DIMENSION(6*(ny+3),nz+1) :: worky !< |
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199 | #endif |
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200 | |
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201 | ! |
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202 | !-- Return, if already called |
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203 | IF ( init_fft ) THEN |
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204 | RETURN |
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205 | ELSE |
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206 | init_fft = .TRUE. |
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207 | ENDIF |
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208 | |
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209 | ! |
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210 | !-- Switch to tell the Poisson-solver that the vectorized version of Temperton-fft is to be used. |
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211 | IF ( fft_method == 'temperton-algorithm' .AND. loop_optimization == 'vector' ) THEN |
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212 | temperton_fft_vec = .TRUE. |
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213 | ENDIF |
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214 | |
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215 | |
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216 | #if defined( _OPENACC ) && defined( __cuda_fft ) |
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217 | fft_method = 'system-specific' |
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218 | #endif |
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219 | |
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220 | IF ( fft_method == 'system-specific' ) THEN |
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221 | |
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222 | dnx = 1.0_wp / ( nx + 1.0_wp ) |
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223 | dny = 1.0_wp / ( ny + 1.0_wp ) |
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224 | sqr_dnx = SQRT( dnx ) |
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225 | sqr_dny = SQRT( dny ) |
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226 | #if defined( __ibm ) |
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227 | ! |
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228 | !-- Initialize tables for fft along x |
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229 | CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
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230 | aux2, nau2 ) |
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231 | CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
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232 | aux4, nau2 ) |
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233 | ! |
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234 | !-- Initialize tables for fft along y |
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235 | CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
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236 | auy2, nau2 ) |
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237 | CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
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238 | auy4, nau2 ) |
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239 | #elif defined( __nec ) |
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240 | message_string = 'fft method "' // TRIM( fft_method) // & |
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241 | '" currently does not work on NEC' |
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242 | CALL message( 'fft_init', 'PA0187', 1, 2, 0, 6, 0 ) |
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243 | |
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244 | ALLOCATE( trig_xb(2*(nx+1)), trig_xf(2*(nx+1)), & |
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245 | trig_yb(2*(ny+1)), trig_yf(2*(ny+1)) ) |
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246 | |
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247 | work_x = 0.0_wp |
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248 | work_y = 0.0_wp |
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249 | nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly |
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250 | ! when using the NEC ffts |
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251 | |
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252 | ! |
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253 | !-- Initialize tables for fft along x (non-vector and vector case (M)) |
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254 | CALL DZFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xf, workx, 0 ) |
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255 | CALL ZDFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xb, workx, 0 ) |
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256 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
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257 | trig_xf, workx, 0 ) |
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258 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
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259 | trig_xb, workx, 0 ) |
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260 | ! |
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261 | !-- Initialize tables for fft along y (non-vector and vector case (M)) |
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262 | CALL DZFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yf, worky, 0 ) |
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263 | CALL ZDFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yb, worky, 0 ) |
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264 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
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265 | trig_yf, worky, 0 ) |
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266 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
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267 | trig_yb, worky, 0 ) |
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268 | #elif defined( __cuda_fft ) |
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269 | CALL CUFFTPLAN1D( plan_xf, nx+1, CUFFT_D2Z, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
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270 | CALL CUFFTPLAN1D( plan_xi, nx+1, CUFFT_Z2D, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
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271 | CALL CUFFTPLAN1D( plan_yf, ny+1, CUFFT_D2Z, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
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272 | CALL CUFFTPLAN1D( plan_yi, ny+1, CUFFT_Z2D, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
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273 | #else |
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274 | message_string = 'no system-specific fft-call available' |
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275 | CALL message( 'fft_init', 'PA0188', 1, 2, 0, 6, 0 ) |
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276 | #endif |
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277 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
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278 | ! |
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279 | !-- Temperton-algorithm |
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280 | !-- Initialize tables for fft along x and y |
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281 | ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) ) |
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282 | |
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283 | CALL set99( trigs_x, ifax_x, nx+1 ) |
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284 | CALL set99( trigs_y, ifax_y, ny+1 ) |
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285 | |
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286 | IF ( temperton_fft_vec ) THEN |
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287 | ALLOCATE( f_vec((nyn_x-nys_x+1)*(nzt_x-nzb_x+1),0:nx+2) ) |
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288 | ENDIF |
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289 | |
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290 | |
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291 | |
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292 | ELSEIF ( fft_method == 'fftw' ) THEN |
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293 | ! |
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294 | !-- FFTW |
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295 | #if defined( __fftw ) |
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296 | nx_c = nx+1 |
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297 | ny_c = ny+1 |
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298 | !$OMP PARALLEL |
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299 | ALLOCATE( x_in(0:nx+2), y_in(0:ny+2), x_out(0:(nx+1)/2), & |
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300 | y_out(0:(ny+1)/2) ) |
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301 | !$OMP END PARALLEL |
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302 | plan_xf = FFTW_PLAN_DFT_R2C_1D( nx_c, x_in, x_out, FFTW_ESTIMATE ) |
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303 | plan_xi = FFTW_PLAN_DFT_C2R_1D( nx_c, x_out, x_in, FFTW_ESTIMATE ) |
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304 | plan_yf = FFTW_PLAN_DFT_R2C_1D( ny_c, y_in, y_out, FFTW_ESTIMATE ) |
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305 | plan_yi = FFTW_PLAN_DFT_C2R_1D( ny_c, y_out, y_in, FFTW_ESTIMATE ) |
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306 | #else |
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307 | message_string = 'preprocessor switch for fftw is missing' |
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308 | CALL message( 'fft_init', 'PA0080', 1, 2, 0, 6, 0 ) |
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309 | #endif |
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310 | |
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311 | ELSEIF ( fft_method == 'singleton-algorithm' ) THEN |
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312 | |
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313 | CONTINUE |
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314 | |
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315 | ELSE |
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316 | |
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317 | message_string = 'fft method "' // TRIM( fft_method) // & |
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318 | '" not available' |
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319 | CALL message( 'fft_init', 'PA0189', 1, 2, 0, 6, 0 ) |
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320 | ENDIF |
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321 | |
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322 | END SUBROUTINE fft_init |
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323 | |
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324 | |
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325 | !------------------------------------------------------------------------------! |
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326 | ! Description: |
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327 | ! ------------ |
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328 | !> Fourier-transformation along x-direction. |
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329 | !> Version for 2D-decomposition. |
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330 | !> It uses internal algorithms (Singleton or Temperton) or |
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331 | !> system-specific routines, if they are available |
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332 | !------------------------------------------------------------------------------! |
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333 | |
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334 | SUBROUTINE fft_x( ar, direction, ar_2d, ar_inv ) |
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335 | |
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336 | |
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337 | IMPLICIT NONE |
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338 | |
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339 | CHARACTER (LEN=*) :: direction !< |
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340 | |
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341 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
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342 | |
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343 | INTEGER(iwp) :: i !< |
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344 | INTEGER(iwp) :: ishape(1) !< |
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345 | INTEGER(iwp) :: j !< |
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346 | INTEGER(iwp) :: k !< |
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347 | INTEGER(iwp) :: mm !< |
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348 | |
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349 | LOGICAL :: forward_fft !< |
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350 | |
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351 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
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352 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
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353 | |
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354 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: work_vec !< |
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355 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x), OPTIONAL :: ar_2d !< |
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356 | |
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357 | REAL(wp), DIMENSION(nys_x:nyn_x,nzb_x:nzt_x,0:nx), OPTIONAL :: ar_inv !< |
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358 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ar !< |
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359 | |
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360 | #if defined( __ibm ) |
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361 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
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362 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
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363 | #elif defined( __nec ) |
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364 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
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365 | #elif defined( __cuda_fft ) |
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366 | COMPLEX(dp), DIMENSION(0:(nx+1)/2,nys_x:nyn_x,nzb_x:nzt_x) :: ar_tmp !< |
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367 | !$ACC DECLARE CREATE(ar_tmp) |
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368 | #endif |
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369 | |
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370 | ! |
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371 | !-- To avoid compiler warning: Unused dummy argument âar_2dâ |
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372 | IF ( PRESENT( ar_2d ) ) CONTINUE |
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373 | |
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374 | IF ( direction == 'forward' ) THEN |
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375 | forward_fft = .TRUE. |
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376 | ELSE |
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377 | forward_fft = .FALSE. |
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378 | ENDIF |
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379 | |
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380 | IF ( fft_method == 'singleton-algorithm' ) THEN |
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381 | |
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382 | ! |
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383 | !-- Performing the fft with singleton's software works on every system, |
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384 | !-- since it is part of the model |
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385 | ALLOCATE( cwork(0:nx) ) |
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386 | |
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387 | IF ( forward_fft ) then |
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388 | |
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389 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
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390 | !$OMP DO |
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391 | DO k = nzb_x, nzt_x |
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392 | DO j = nys_x, nyn_x |
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393 | |
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394 | DO i = 0, nx |
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395 | cwork(i) = CMPLX( ar(i,j,k), KIND=wp ) |
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396 | ENDDO |
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397 | |
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398 | ishape = SHAPE( cwork ) |
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399 | CALL FFTN( cwork, ishape ) |
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400 | |
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401 | DO i = 0, (nx+1)/2 |
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402 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
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403 | ENDDO |
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404 | DO i = 1, (nx+1)/2 - 1 |
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405 | ar(nx+1-i,j,k) = -AIMAG( cwork(i) ) |
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406 | ENDDO |
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407 | |
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408 | ENDDO |
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409 | ENDDO |
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410 | !$OMP END PARALLEL |
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411 | |
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412 | ELSE |
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413 | |
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414 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
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415 | !$OMP DO |
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416 | DO k = nzb_x, nzt_x |
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417 | DO j = nys_x, nyn_x |
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418 | |
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419 | cwork(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
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420 | DO i = 1, (nx+1)/2 - 1 |
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421 | cwork(i) = CMPLX( ar(i,j,k), -ar(nx+1-i,j,k), & |
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422 | KIND=wp ) |
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423 | cwork(nx+1-i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
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424 | KIND=wp ) |
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425 | ENDDO |
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426 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, KIND=wp ) |
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427 | |
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428 | ishape = SHAPE( cwork ) |
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429 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
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430 | |
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431 | DO i = 0, nx |
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432 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
433 | ENDDO |
---|
434 | |
---|
435 | ENDDO |
---|
436 | ENDDO |
---|
437 | !$OMP END PARALLEL |
---|
438 | |
---|
439 | ENDIF |
---|
440 | |
---|
441 | DEALLOCATE( cwork ) |
---|
442 | |
---|
443 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
444 | |
---|
445 | ! |
---|
446 | !-- Performing the fft with Temperton's software works on every system, |
---|
447 | !-- since it is part of the model |
---|
448 | IF ( forward_fft ) THEN |
---|
449 | |
---|
450 | IF ( .NOT. temperton_fft_vec ) THEN |
---|
451 | |
---|
452 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
453 | !$OMP DO |
---|
454 | DO k = nzb_x, nzt_x |
---|
455 | DO j = nys_x, nyn_x |
---|
456 | |
---|
457 | work(0:nx) = ar(0:nx,j,k) |
---|
458 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
459 | |
---|
460 | DO i = 0, (nx+1)/2 |
---|
461 | ar(i,j,k) = work(2*i) |
---|
462 | ENDDO |
---|
463 | DO i = 1, (nx+1)/2 - 1 |
---|
464 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
465 | ENDDO |
---|
466 | |
---|
467 | ENDDO |
---|
468 | ENDDO |
---|
469 | !$OMP END PARALLEL |
---|
470 | |
---|
471 | ELSE |
---|
472 | |
---|
473 | ! |
---|
474 | !-- Vector version of the Temperton-algorithm. Computes multiple 1-D FFT's. |
---|
475 | ALLOCATE( work_vec( (nyn_x-nys_x+1)*(nzt_x-nzb_x+1),nx+2) ) |
---|
476 | ! |
---|
477 | !-- f_vec is already set in transpose_zx |
---|
478 | CALL fft991cy_vec( f_vec, work_vec, trigs_x, ifax_x, nx+1, -1 ) |
---|
479 | DEALLOCATE( work_vec ) |
---|
480 | |
---|
481 | IF ( PRESENT( ar_inv ) ) THEN |
---|
482 | |
---|
483 | DO k = nzb_x, nzt_x |
---|
484 | DO j = nys_x, nyn_x |
---|
485 | mm = j-nys_x+1+(k-nzb_x)*(nyn_x-nys_x+1) |
---|
486 | DO i = 0, (nx+1)/2 |
---|
487 | ar_inv(j,k,i) = f_vec(mm,2*i) |
---|
488 | ENDDO |
---|
489 | DO i = 1, (nx+1)/2-1 |
---|
490 | ar_inv(j,k,nx+1-i) = f_vec(mm,2*i+1) |
---|
491 | ENDDO |
---|
492 | ENDDO |
---|
493 | ENDDO |
---|
494 | |
---|
495 | ELSE |
---|
496 | |
---|
497 | DO k = nzb_x, nzt_x |
---|
498 | DO j = nys_x, nyn_x |
---|
499 | mm = j-nys_x+1+(k-nzb_x)*(nyn_x-nys_x+1) |
---|
500 | DO i = 0, (nx+1)/2 |
---|
501 | ar(i,j,k) = f_vec(mm,2*i) |
---|
502 | ENDDO |
---|
503 | DO i = 1, (nx+1)/2-1 |
---|
504 | ar(nx+1-i,j,k) = f_vec(mm,2*i+1) |
---|
505 | ENDDO |
---|
506 | ENDDO |
---|
507 | ENDDO |
---|
508 | |
---|
509 | ENDIF |
---|
510 | |
---|
511 | ENDIF |
---|
512 | |
---|
513 | ELSE |
---|
514 | |
---|
515 | ! |
---|
516 | !-- Backward fft |
---|
517 | IF ( .NOT. temperton_fft_vec ) THEN |
---|
518 | |
---|
519 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
520 | !$OMP DO |
---|
521 | DO k = nzb_x, nzt_x |
---|
522 | DO j = nys_x, nyn_x |
---|
523 | |
---|
524 | DO i = 0, (nx+1)/2 |
---|
525 | work(2*i) = ar(i,j,k) |
---|
526 | ENDDO |
---|
527 | DO i = 1, (nx+1)/2 - 1 |
---|
528 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
529 | ENDDO |
---|
530 | work(1) = 0.0_wp |
---|
531 | work(nx+2) = 0.0_wp |
---|
532 | |
---|
533 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
534 | ar(0:nx,j,k) = work(0:nx) |
---|
535 | |
---|
536 | ENDDO |
---|
537 | ENDDO |
---|
538 | !$OMP END PARALLEL |
---|
539 | |
---|
540 | ELSE |
---|
541 | |
---|
542 | IF ( PRESENT( ar_inv ) ) THEN |
---|
543 | |
---|
544 | DO k = nzb_x, nzt_x |
---|
545 | DO j = nys_x, nyn_x |
---|
546 | mm = j-nys_x+1+(k-nzb_x)*(nyn_x-nys_x+1) |
---|
547 | DO i = 0, (nx+1)/2 |
---|
548 | f_vec(mm,2*i) = ar_inv(j,k,i) |
---|
549 | ENDDO |
---|
550 | DO i = 1, (nx+1)/2-1 |
---|
551 | f_vec(mm,2*i+1) = ar_inv(j,k,nx+1-i) |
---|
552 | ENDDO |
---|
553 | ENDDO |
---|
554 | ENDDO |
---|
555 | |
---|
556 | ELSE |
---|
557 | |
---|
558 | DO k = nzb_x, nzt_x |
---|
559 | DO j = nys_x, nyn_x |
---|
560 | mm = j-nys_x+1+(k-nzb_x)*(nyn_x-nys_x+1) |
---|
561 | DO i = 0, (nx+1)/2 |
---|
562 | f_vec(mm,2*i) = ar(i,j,k) |
---|
563 | ENDDO |
---|
564 | DO i = 1, (nx+1)/2-1 |
---|
565 | f_vec(mm,2*i+1) = ar(nx+1-i,j,k) |
---|
566 | ENDDO |
---|
567 | ENDDO |
---|
568 | ENDDO |
---|
569 | |
---|
570 | ENDIF |
---|
571 | f_vec(:,1) = 0.0_wp |
---|
572 | f_vec(:,nx+2) = 0.0_wp |
---|
573 | |
---|
574 | ALLOCATE( work_vec((nyn_x-nys_x+1)*(nzt_x-nzb_x+1),nx+2) ) |
---|
575 | CALL fft991cy_vec( f_vec, work_vec, trigs_x, ifax_x, nx+1, 1 ) |
---|
576 | DEALLOCATE( work_vec ) |
---|
577 | |
---|
578 | ENDIF |
---|
579 | |
---|
580 | ENDIF |
---|
581 | |
---|
582 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
583 | |
---|
584 | #if defined( __fftw ) |
---|
585 | IF ( forward_fft ) THEN |
---|
586 | |
---|
587 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
588 | !$OMP DO |
---|
589 | DO k = nzb_x, nzt_x |
---|
590 | DO j = nys_x, nyn_x |
---|
591 | |
---|
592 | x_in(0:nx) = ar(0:nx,j,k) |
---|
593 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
594 | |
---|
595 | IF ( PRESENT( ar_2d ) ) THEN |
---|
596 | |
---|
597 | DO i = 0, (nx+1)/2 |
---|
598 | ar_2d(i,j) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
599 | ENDDO |
---|
600 | DO i = 1, (nx+1)/2 - 1 |
---|
601 | ar_2d(nx+1-i,j) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
602 | ENDDO |
---|
603 | |
---|
604 | ELSE |
---|
605 | |
---|
606 | DO i = 0, (nx+1)/2 |
---|
607 | ar(i,j,k) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
608 | ENDDO |
---|
609 | DO i = 1, (nx+1)/2 - 1 |
---|
610 | ar(nx+1-i,j,k) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
611 | ENDDO |
---|
612 | |
---|
613 | ENDIF |
---|
614 | |
---|
615 | ENDDO |
---|
616 | ENDDO |
---|
617 | !$OMP END PARALLEL |
---|
618 | |
---|
619 | ELSE |
---|
620 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
621 | !$OMP DO |
---|
622 | DO k = nzb_x, nzt_x |
---|
623 | DO j = nys_x, nyn_x |
---|
624 | |
---|
625 | IF ( PRESENT( ar_2d ) ) THEN |
---|
626 | |
---|
627 | x_out(0) = CMPLX( ar_2d(0,j), 0.0_wp, KIND=wp ) |
---|
628 | DO i = 1, (nx+1)/2 - 1 |
---|
629 | x_out(i) = CMPLX( ar_2d(i,j), ar_2d(nx+1-i,j), & |
---|
630 | KIND=wp ) |
---|
631 | ENDDO |
---|
632 | x_out((nx+1)/2) = CMPLX( ar_2d((nx+1)/2,j), 0.0_wp, & |
---|
633 | KIND=wp ) |
---|
634 | |
---|
635 | ELSE |
---|
636 | |
---|
637 | x_out(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
638 | DO i = 1, (nx+1)/2 - 1 |
---|
639 | x_out(i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), KIND=wp ) |
---|
640 | ENDDO |
---|
641 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
642 | KIND=wp ) |
---|
643 | |
---|
644 | ENDIF |
---|
645 | |
---|
646 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
647 | ar(0:nx,j,k) = x_in(0:nx) |
---|
648 | |
---|
649 | ENDDO |
---|
650 | ENDDO |
---|
651 | !$OMP END PARALLEL |
---|
652 | |
---|
653 | ENDIF |
---|
654 | #endif |
---|
655 | |
---|
656 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
657 | |
---|
658 | #if defined( __ibm ) |
---|
659 | IF ( forward_fft ) THEN |
---|
660 | |
---|
661 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
662 | !$OMP DO |
---|
663 | DO k = nzb_x, nzt_x |
---|
664 | DO j = nys_x, nyn_x |
---|
665 | |
---|
666 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, & |
---|
667 | nau1, aux2, nau2 ) |
---|
668 | |
---|
669 | DO i = 0, (nx+1)/2 |
---|
670 | ar(i,j,k) = work(2*i) |
---|
671 | ENDDO |
---|
672 | DO i = 1, (nx+1)/2 - 1 |
---|
673 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
674 | ENDDO |
---|
675 | |
---|
676 | ENDDO |
---|
677 | ENDDO |
---|
678 | !$OMP END PARALLEL |
---|
679 | |
---|
680 | ELSE |
---|
681 | |
---|
682 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
683 | !$OMP DO |
---|
684 | DO k = nzb_x, nzt_x |
---|
685 | DO j = nys_x, nyn_x |
---|
686 | |
---|
687 | DO i = 0, (nx+1)/2 |
---|
688 | work(2*i) = ar(i,j,k) |
---|
689 | ENDDO |
---|
690 | DO i = 1, (nx+1)/2 - 1 |
---|
691 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
692 | ENDDO |
---|
693 | work(1) = 0.0_wp |
---|
694 | work(nx+2) = 0.0_wp |
---|
695 | |
---|
696 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, & |
---|
697 | aux3, nau1, aux4, nau2 ) |
---|
698 | |
---|
699 | DO i = 0, nx |
---|
700 | ar(i,j,k) = work(i) |
---|
701 | ENDDO |
---|
702 | |
---|
703 | ENDDO |
---|
704 | ENDDO |
---|
705 | !$OMP END PARALLEL |
---|
706 | |
---|
707 | ENDIF |
---|
708 | |
---|
709 | #elif defined( __nec ) |
---|
710 | |
---|
711 | IF ( forward_fft ) THEN |
---|
712 | |
---|
713 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
714 | !$OMP DO |
---|
715 | DO k = nzb_x, nzt_x |
---|
716 | DO j = nys_x, nyn_x |
---|
717 | |
---|
718 | work(0:nx) = ar(0:nx,j,k) |
---|
719 | |
---|
720 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
721 | |
---|
722 | DO i = 0, (nx+1)/2 |
---|
723 | ar(i,j,k) = work(2*i) |
---|
724 | ENDDO |
---|
725 | DO i = 1, (nx+1)/2 - 1 |
---|
726 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
727 | ENDDO |
---|
728 | |
---|
729 | ENDDO |
---|
730 | ENDDO |
---|
731 | !$END OMP PARALLEL |
---|
732 | |
---|
733 | ELSE |
---|
734 | |
---|
735 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
736 | !$OMP DO |
---|
737 | DO k = nzb_x, nzt_x |
---|
738 | DO j = nys_x, nyn_x |
---|
739 | |
---|
740 | DO i = 0, (nx+1)/2 |
---|
741 | work(2*i) = ar(i,j,k) |
---|
742 | ENDDO |
---|
743 | DO i = 1, (nx+1)/2 - 1 |
---|
744 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
745 | ENDDO |
---|
746 | work(1) = 0.0_wp |
---|
747 | work(nx+2) = 0.0_wp |
---|
748 | |
---|
749 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
750 | |
---|
751 | ar(0:nx,j,k) = work(0:nx) |
---|
752 | |
---|
753 | ENDDO |
---|
754 | ENDDO |
---|
755 | !$OMP END PARALLEL |
---|
756 | |
---|
757 | ENDIF |
---|
758 | |
---|
759 | #elif defined( __cuda_fft ) |
---|
760 | |
---|
761 | IF ( forward_fft ) THEN |
---|
762 | |
---|
763 | !$ACC HOST_DATA USE_DEVICE(ar, ar_tmp) |
---|
764 | CALL CUFFTEXECD2Z( plan_xf, ar, ar_tmp ) |
---|
765 | !$ACC END HOST_DATA |
---|
766 | |
---|
767 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i,j,k) & |
---|
768 | !$ACC PRESENT(ar, ar_tmp) |
---|
769 | DO k = nzb_x, nzt_x |
---|
770 | DO j = nys_x, nyn_x |
---|
771 | |
---|
772 | DO i = 0, (nx+1)/2 |
---|
773 | ar(i,j,k) = REAL( ar_tmp(i,j,k), KIND=wp ) * dnx |
---|
774 | ENDDO |
---|
775 | |
---|
776 | DO i = 1, (nx+1)/2 - 1 |
---|
777 | ar(nx+1-i,j,k) = AIMAG( ar_tmp(i,j,k) ) * dnx |
---|
778 | ENDDO |
---|
779 | |
---|
780 | ENDDO |
---|
781 | ENDDO |
---|
782 | |
---|
783 | ELSE |
---|
784 | |
---|
785 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i,j,k) & |
---|
786 | !$ACC PRESENT(ar, ar_tmp) |
---|
787 | DO k = nzb_x, nzt_x |
---|
788 | DO j = nys_x, nyn_x |
---|
789 | |
---|
790 | ar_tmp(0,j,k) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
791 | |
---|
792 | DO i = 1, (nx+1)/2 - 1 |
---|
793 | ar_tmp(i,j,k) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
---|
794 | KIND=wp ) |
---|
795 | ENDDO |
---|
796 | ar_tmp((nx+1)/2,j,k) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
797 | KIND=wp ) |
---|
798 | |
---|
799 | ENDDO |
---|
800 | ENDDO |
---|
801 | |
---|
802 | !$ACC HOST_DATA USE_DEVICE(ar, ar_tmp) |
---|
803 | CALL CUFFTEXECZ2D( plan_xi, ar_tmp, ar ) |
---|
804 | !$ACC END HOST_DATA |
---|
805 | |
---|
806 | ENDIF |
---|
807 | |
---|
808 | #endif |
---|
809 | |
---|
810 | ENDIF |
---|
811 | |
---|
812 | END SUBROUTINE fft_x |
---|
813 | |
---|
814 | !------------------------------------------------------------------------------! |
---|
815 | ! Description: |
---|
816 | ! ------------ |
---|
817 | !> Fourier-transformation along x-direction. |
---|
818 | !> Version for 1D-decomposition. |
---|
819 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
820 | !> system-specific routines, if they are available |
---|
821 | !------------------------------------------------------------------------------! |
---|
822 | |
---|
823 | SUBROUTINE fft_x_1d( ar, direction ) |
---|
824 | |
---|
825 | |
---|
826 | IMPLICIT NONE |
---|
827 | |
---|
828 | CHARACTER (LEN=*) :: direction !< |
---|
829 | |
---|
830 | INTEGER(iwp) :: i !< |
---|
831 | INTEGER(iwp) :: ishape(1) !< |
---|
832 | |
---|
833 | LOGICAL :: forward_fft !< |
---|
834 | |
---|
835 | REAL(wp), DIMENSION(0:nx) :: ar !< |
---|
836 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
---|
837 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
---|
838 | |
---|
839 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
840 | |
---|
841 | #if defined( __ibm ) |
---|
842 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
843 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
844 | #elif defined( __nec ) |
---|
845 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
846 | #endif |
---|
847 | |
---|
848 | IF ( direction == 'forward' ) THEN |
---|
849 | forward_fft = .TRUE. |
---|
850 | ELSE |
---|
851 | forward_fft = .FALSE. |
---|
852 | ENDIF |
---|
853 | |
---|
854 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
855 | |
---|
856 | ! |
---|
857 | !-- Performing the fft with singleton's software works on every system, |
---|
858 | !-- since it is part of the model |
---|
859 | ALLOCATE( cwork(0:nx) ) |
---|
860 | |
---|
861 | IF ( forward_fft ) then |
---|
862 | |
---|
863 | DO i = 0, nx |
---|
864 | cwork(i) = CMPLX( ar(i), KIND=wp ) |
---|
865 | ENDDO |
---|
866 | ishape = SHAPE( cwork ) |
---|
867 | CALL FFTN( cwork, ishape ) |
---|
868 | DO i = 0, (nx+1)/2 |
---|
869 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
870 | ENDDO |
---|
871 | DO i = 1, (nx+1)/2 - 1 |
---|
872 | ar(nx+1-i) = -AIMAG( cwork(i) ) |
---|
873 | ENDDO |
---|
874 | |
---|
875 | ELSE |
---|
876 | |
---|
877 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
878 | DO i = 1, (nx+1)/2 - 1 |
---|
879 | cwork(i) = CMPLX( ar(i), -ar(nx+1-i), KIND=wp ) |
---|
880 | cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
881 | ENDDO |
---|
882 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
883 | |
---|
884 | ishape = SHAPE( cwork ) |
---|
885 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
886 | |
---|
887 | DO i = 0, nx |
---|
888 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
889 | ENDDO |
---|
890 | |
---|
891 | ENDIF |
---|
892 | |
---|
893 | DEALLOCATE( cwork ) |
---|
894 | |
---|
895 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
896 | |
---|
897 | ! |
---|
898 | !-- Performing the fft with Temperton's software works on every system, |
---|
899 | !-- since it is part of the model |
---|
900 | IF ( forward_fft ) THEN |
---|
901 | |
---|
902 | work(0:nx) = ar |
---|
903 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
904 | |
---|
905 | DO i = 0, (nx+1)/2 |
---|
906 | ar(i) = work(2*i) |
---|
907 | ENDDO |
---|
908 | DO i = 1, (nx+1)/2 - 1 |
---|
909 | ar(nx+1-i) = work(2*i+1) |
---|
910 | ENDDO |
---|
911 | |
---|
912 | ELSE |
---|
913 | |
---|
914 | DO i = 0, (nx+1)/2 |
---|
915 | work(2*i) = ar(i) |
---|
916 | ENDDO |
---|
917 | DO i = 1, (nx+1)/2 - 1 |
---|
918 | work(2*i+1) = ar(nx+1-i) |
---|
919 | ENDDO |
---|
920 | work(1) = 0.0_wp |
---|
921 | work(nx+2) = 0.0_wp |
---|
922 | |
---|
923 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
924 | ar = work(0:nx) |
---|
925 | |
---|
926 | ENDIF |
---|
927 | |
---|
928 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
929 | |
---|
930 | #if defined( __fftw ) |
---|
931 | IF ( forward_fft ) THEN |
---|
932 | |
---|
933 | x_in(0:nx) = ar(0:nx) |
---|
934 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
935 | |
---|
936 | DO i = 0, (nx+1)/2 |
---|
937 | ar(i) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
938 | ENDDO |
---|
939 | DO i = 1, (nx+1)/2 - 1 |
---|
940 | ar(nx+1-i) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
941 | ENDDO |
---|
942 | |
---|
943 | ELSE |
---|
944 | |
---|
945 | x_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
946 | DO i = 1, (nx+1)/2 - 1 |
---|
947 | x_out(i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
948 | ENDDO |
---|
949 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
950 | |
---|
951 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
952 | ar(0:nx) = x_in(0:nx) |
---|
953 | |
---|
954 | ENDIF |
---|
955 | #endif |
---|
956 | |
---|
957 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
958 | |
---|
959 | #if defined( __ibm ) |
---|
960 | IF ( forward_fft ) THEN |
---|
961 | |
---|
962 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
963 | aux2, nau2 ) |
---|
964 | |
---|
965 | DO i = 0, (nx+1)/2 |
---|
966 | ar(i) = work(2*i) |
---|
967 | ENDDO |
---|
968 | DO i = 1, (nx+1)/2 - 1 |
---|
969 | ar(nx+1-i) = work(2*i+1) |
---|
970 | ENDDO |
---|
971 | |
---|
972 | ELSE |
---|
973 | |
---|
974 | DO i = 0, (nx+1)/2 |
---|
975 | work(2*i) = ar(i) |
---|
976 | ENDDO |
---|
977 | DO i = 1, (nx+1)/2 - 1 |
---|
978 | work(2*i+1) = ar(nx+1-i) |
---|
979 | ENDDO |
---|
980 | work(1) = 0.0_wp |
---|
981 | work(nx+2) = 0.0_wp |
---|
982 | |
---|
983 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
984 | aux4, nau2 ) |
---|
985 | |
---|
986 | DO i = 0, nx |
---|
987 | ar(i) = work(i) |
---|
988 | ENDDO |
---|
989 | |
---|
990 | ENDIF |
---|
991 | #elif defined( __nec ) |
---|
992 | IF ( forward_fft ) THEN |
---|
993 | |
---|
994 | work(0:nx) = ar(0:nx) |
---|
995 | |
---|
996 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
997 | |
---|
998 | DO i = 0, (nx+1)/2 |
---|
999 | ar(i) = work(2*i) |
---|
1000 | ENDDO |
---|
1001 | DO i = 1, (nx+1)/2 - 1 |
---|
1002 | ar(nx+1-i) = work(2*i+1) |
---|
1003 | ENDDO |
---|
1004 | |
---|
1005 | ELSE |
---|
1006 | |
---|
1007 | DO i = 0, (nx+1)/2 |
---|
1008 | work(2*i) = ar(i) |
---|
1009 | ENDDO |
---|
1010 | DO i = 1, (nx+1)/2 - 1 |
---|
1011 | work(2*i+1) = ar(nx+1-i) |
---|
1012 | ENDDO |
---|
1013 | work(1) = 0.0_wp |
---|
1014 | work(nx+2) = 0.0_wp |
---|
1015 | |
---|
1016 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
1017 | |
---|
1018 | ar(0:nx) = work(0:nx) |
---|
1019 | |
---|
1020 | ENDIF |
---|
1021 | #endif |
---|
1022 | |
---|
1023 | ENDIF |
---|
1024 | |
---|
1025 | END SUBROUTINE fft_x_1d |
---|
1026 | |
---|
1027 | !------------------------------------------------------------------------------! |
---|
1028 | ! Description: |
---|
1029 | ! ------------ |
---|
1030 | !> Fourier-transformation along y-direction. |
---|
1031 | !> Version for 2D-decomposition. |
---|
1032 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
1033 | !> system-specific routines, if they are available. |
---|
1034 | !> |
---|
1035 | !> direction: 'forward' or 'backward' |
---|
1036 | !> ar, ar_tr: 3D data arrays |
---|
1037 | !> forward: ar: before ar_tr: after transformation |
---|
1038 | !> backward: ar_tr: before ar: after transfosition |
---|
1039 | !> |
---|
1040 | !> In case of non-overlapping transposition/transformation: |
---|
1041 | !> nxl_y_bound = nxl_y_l = nxl_y |
---|
1042 | !> nxr_y_bound = nxr_y_l = nxr_y |
---|
1043 | !> |
---|
1044 | !> In case of overlapping transposition/transformation |
---|
1045 | !> - nxl_y_bound and nxr_y_bound have the original values of |
---|
1046 | !> nxl_y, nxr_y. ar_tr is dimensioned using these values. |
---|
1047 | !> - nxl_y_l = nxr_y_r. ar is dimensioned with these values, so that |
---|
1048 | !> transformation is carried out for a 2D-plane only. |
---|
1049 | !------------------------------------------------------------------------------! |
---|
1050 | |
---|
1051 | SUBROUTINE fft_y( ar, direction, ar_tr, nxl_y_bound, nxr_y_bound, nxl_y_l, & |
---|
1052 | nxr_y_l, ar_inv ) |
---|
1053 | |
---|
1054 | |
---|
1055 | IMPLICIT NONE |
---|
1056 | |
---|
1057 | CHARACTER (LEN=*) :: direction !< |
---|
1058 | |
---|
1059 | INTEGER(iwp) :: i !< |
---|
1060 | INTEGER(iwp) :: j !< |
---|
1061 | INTEGER(iwp) :: jshape(1) !< |
---|
1062 | INTEGER(iwp) :: k !< |
---|
1063 | INTEGER(iwp) :: mm !< |
---|
1064 | INTEGER(iwp) :: nxl_y_bound !< |
---|
1065 | INTEGER(iwp) :: nxl_y_l !< |
---|
1066 | INTEGER(iwp) :: nxr_y_bound !< |
---|
1067 | INTEGER(iwp) :: nxr_y_l !< |
---|
1068 | |
---|
1069 | LOGICAL :: forward_fft !< |
---|
1070 | |
---|
1071 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
1072 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
1073 | |
---|
1074 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: f_vec |
---|
1075 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: work_vec |
---|
1076 | |
---|
1077 | REAL(wp), DIMENSION(0:ny,nxl_y_l:nxr_y_l,nzb_y:nzt_y) :: ar !< |
---|
1078 | REAL(wp), DIMENSION(nxl_y:nxr_y,nzb_y:nzt_y,0:ny), OPTIONAL :: ar_inv !< |
---|
1079 | REAL(wp), DIMENSION(0:ny,nxl_y_bound:nxr_y_bound,nzb_y:nzt_y), OPTIONAL :: ar_tr !< |
---|
1080 | |
---|
1081 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
1082 | |
---|
1083 | #if defined( __ibm ) |
---|
1084 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
1085 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
1086 | #elif defined( __nec ) |
---|
1087 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
1088 | #elif defined( __cuda_fft ) |
---|
1089 | COMPLEX(dp), DIMENSION(0:(ny+1)/2,nxl_y:nxr_y,nzb_y:nzt_y) :: & |
---|
1090 | ar_tmp !< |
---|
1091 | !$ACC DECLARE CREATE(ar_tmp) |
---|
1092 | #endif |
---|
1093 | |
---|
1094 | |
---|
1095 | IF ( direction == 'forward' ) THEN |
---|
1096 | forward_fft = .TRUE. |
---|
1097 | ELSE |
---|
1098 | forward_fft = .FALSE. |
---|
1099 | ENDIF |
---|
1100 | |
---|
1101 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
1102 | |
---|
1103 | ! |
---|
1104 | !-- Performing the fft with singleton's software works on every system, |
---|
1105 | !-- since it is part of the model |
---|
1106 | ALLOCATE( cwork(0:ny) ) |
---|
1107 | |
---|
1108 | IF ( forward_fft ) then |
---|
1109 | |
---|
1110 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
1111 | !$OMP DO |
---|
1112 | DO k = nzb_y, nzt_y |
---|
1113 | DO i = nxl_y_l, nxr_y_l |
---|
1114 | |
---|
1115 | DO j = 0, ny |
---|
1116 | cwork(j) = CMPLX( ar(j,i,k), KIND=wp ) |
---|
1117 | ENDDO |
---|
1118 | |
---|
1119 | jshape = SHAPE( cwork ) |
---|
1120 | CALL FFTN( cwork, jshape ) |
---|
1121 | |
---|
1122 | DO j = 0, (ny+1)/2 |
---|
1123 | ar_tr(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
1124 | ENDDO |
---|
1125 | DO j = 1, (ny+1)/2 - 1 |
---|
1126 | ar_tr(ny+1-j,i,k) = -AIMAG( cwork(j) ) |
---|
1127 | ENDDO |
---|
1128 | |
---|
1129 | ENDDO |
---|
1130 | ENDDO |
---|
1131 | !$OMP END PARALLEL |
---|
1132 | |
---|
1133 | ELSE |
---|
1134 | |
---|
1135 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
1136 | !$OMP DO |
---|
1137 | DO k = nzb_y, nzt_y |
---|
1138 | DO i = nxl_y_l, nxr_y_l |
---|
1139 | |
---|
1140 | cwork(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
1141 | DO j = 1, (ny+1)/2 - 1 |
---|
1142 | cwork(j) = CMPLX( ar_tr(j,i,k), -ar_tr(ny+1-j,i,k), & |
---|
1143 | KIND=wp ) |
---|
1144 | cwork(ny+1-j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
1145 | KIND=wp ) |
---|
1146 | ENDDO |
---|
1147 | cwork((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
1148 | KIND=wp ) |
---|
1149 | |
---|
1150 | jshape = SHAPE( cwork ) |
---|
1151 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
1152 | |
---|
1153 | DO j = 0, ny |
---|
1154 | ar(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
1155 | ENDDO |
---|
1156 | |
---|
1157 | ENDDO |
---|
1158 | ENDDO |
---|
1159 | !$OMP END PARALLEL |
---|
1160 | |
---|
1161 | ENDIF |
---|
1162 | |
---|
1163 | DEALLOCATE( cwork ) |
---|
1164 | |
---|
1165 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1166 | |
---|
1167 | ! |
---|
1168 | !-- Performing the fft with Temperton's software works on every system, |
---|
1169 | !-- since it is part of the model |
---|
1170 | IF ( forward_fft ) THEN |
---|
1171 | |
---|
1172 | IF ( .NOT. temperton_fft_vec ) THEN |
---|
1173 | |
---|
1174 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
1175 | !$OMP DO |
---|
1176 | DO k = nzb_y, nzt_y |
---|
1177 | DO i = nxl_y_l, nxr_y_l |
---|
1178 | |
---|
1179 | work(0:ny) = ar(0:ny,i,k) |
---|
1180 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
1181 | |
---|
1182 | DO j = 0, (ny+1)/2 |
---|
1183 | ar_tr(j,i,k) = work(2*j) |
---|
1184 | ENDDO |
---|
1185 | DO j = 1, (ny+1)/2 - 1 |
---|
1186 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1187 | ENDDO |
---|
1188 | |
---|
1189 | ENDDO |
---|
1190 | ENDDO |
---|
1191 | !$OMP END PARALLEL |
---|
1192 | |
---|
1193 | ELSE |
---|
1194 | ! |
---|
1195 | !-- Vector version of Temperton-fft. Computes multiple 1-D FFT's. |
---|
1196 | ALLOCATE( f_vec((nxr_y_l-nxl_y_l+1)*(nzt_y-nzb_y+1),0:ny+2) ) |
---|
1197 | |
---|
1198 | mm = 1 |
---|
1199 | DO k = nzb_y, nzt_y |
---|
1200 | DO i = nxl_y_l, nxr_y_l |
---|
1201 | f_vec(mm,0:nx) = ar(0:nx,i,k) |
---|
1202 | mm = mm+1 |
---|
1203 | ENDDO |
---|
1204 | ENDDO |
---|
1205 | |
---|
1206 | ALLOCATE( work_vec( (nxr_y_l-nxl_y_l+1)*(nzt_y-nzb_y+1),ny+2) ) |
---|
1207 | CALL fft991cy_vec( f_vec, work_vec, trigs_y, ifax_y, ny+1, -1 ) |
---|
1208 | DEALLOCATE( work_vec ) |
---|
1209 | |
---|
1210 | IF( PRESENT( ar_inv ) ) THEN |
---|
1211 | |
---|
1212 | DO k = nzb_y, nzt_y |
---|
1213 | DO i = nxl_y_l, nxr_y_l |
---|
1214 | mm = i-nxl_y_l+1+(k-nzb_y)*(nxr_y_l-nxl_y_l+1) |
---|
1215 | DO j = 0, (ny+1)/2 |
---|
1216 | ar_inv(i,k,j) = f_vec(mm,2*j) |
---|
1217 | ENDDO |
---|
1218 | DO j = 1, (ny+1)/2 - 1 |
---|
1219 | ar_inv(i,k,ny+1-j) = f_vec(mm,2*j+1) |
---|
1220 | ENDDO |
---|
1221 | ENDDO |
---|
1222 | ENDDO |
---|
1223 | |
---|
1224 | ELSE |
---|
1225 | |
---|
1226 | DO k = nzb_y, nzt_y |
---|
1227 | DO i = nxl_y_l, nxr_y_l |
---|
1228 | mm = i-nxl_y_l+1+(k-nzb_y)*(nxr_y_l-nxl_y_l+1) |
---|
1229 | DO j = 0, (ny+1)/2 |
---|
1230 | ar(j,i,k) = f_vec(mm,2*j) |
---|
1231 | ENDDO |
---|
1232 | DO j = 1, (ny+1)/2 - 1 |
---|
1233 | ar(ny+1-j,i,k) = f_vec(mm,2*j+1) |
---|
1234 | ENDDO |
---|
1235 | ENDDO |
---|
1236 | ENDDO |
---|
1237 | |
---|
1238 | ENDIF |
---|
1239 | |
---|
1240 | DEALLOCATE( f_vec ) |
---|
1241 | |
---|
1242 | ENDIF |
---|
1243 | |
---|
1244 | ELSE |
---|
1245 | |
---|
1246 | IF ( .NOT. temperton_fft_vec ) THEN |
---|
1247 | |
---|
1248 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
1249 | !$OMP DO |
---|
1250 | DO k = nzb_y, nzt_y |
---|
1251 | DO i = nxl_y_l, nxr_y_l |
---|
1252 | |
---|
1253 | DO j = 0, (ny+1)/2 |
---|
1254 | work(2*j) = ar_tr(j,i,k) |
---|
1255 | ENDDO |
---|
1256 | DO j = 1, (ny+1)/2 - 1 |
---|
1257 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1258 | ENDDO |
---|
1259 | work(1) = 0.0_wp |
---|
1260 | work(ny+2) = 0.0_wp |
---|
1261 | |
---|
1262 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
1263 | ar(0:ny,i,k) = work(0:ny) |
---|
1264 | |
---|
1265 | ENDDO |
---|
1266 | ENDDO |
---|
1267 | !$OMP END PARALLEL |
---|
1268 | |
---|
1269 | ELSE |
---|
1270 | |
---|
1271 | ALLOCATE( f_vec((nxr_y_l-nxl_y_l+1)*(nzt_y-nzb_y+1),0:ny+2) ) |
---|
1272 | |
---|
1273 | IF ( PRESENT( ar_inv ) ) THEN |
---|
1274 | |
---|
1275 | DO k = nzb_y, nzt_y |
---|
1276 | DO i = nxl_y_l, nxr_y_l |
---|
1277 | mm = i-nxl_y_l+1+(k-nzb_y)*(nxr_y_l-nxl_y_l+1) |
---|
1278 | DO j = 0, (ny+1)/2 |
---|
1279 | f_vec(mm,2*j) = ar_inv(i,k,j) |
---|
1280 | ENDDO |
---|
1281 | DO j = 1, (ny+1)/2 - 1 |
---|
1282 | f_vec(mm,2*j+1) = ar_inv(i,k,ny+1-j) |
---|
1283 | ENDDO |
---|
1284 | ENDDO |
---|
1285 | ENDDO |
---|
1286 | |
---|
1287 | ELSE |
---|
1288 | |
---|
1289 | DO k = nzb_y, nzt_y |
---|
1290 | DO i = nxl_y_l, nxr_y_l |
---|
1291 | mm = i-nxl_y_l+1+(k-nzb_y)*(nxr_y_l-nxl_y_l+1) |
---|
1292 | DO j = 0, (ny+1)/2 |
---|
1293 | f_vec(mm,2*j) = ar(j,i,k) |
---|
1294 | ENDDO |
---|
1295 | DO j = 1, (ny+1)/2 - 1 |
---|
1296 | f_vec(mm,2*j+1) = ar(ny+1-j,i,k) |
---|
1297 | ENDDO |
---|
1298 | ENDDO |
---|
1299 | ENDDO |
---|
1300 | |
---|
1301 | ENDIF |
---|
1302 | |
---|
1303 | f_vec(:,1) = 0.0_wp |
---|
1304 | f_vec(:,ny+2) = 0.0_wp |
---|
1305 | |
---|
1306 | ALLOCATE( work_vec((nxr_y_l-nxl_y_l+1)*(nzt_y-nzb_y+1),ny+2) ) |
---|
1307 | CALL fft991cy_vec( f_vec, work_vec, trigs_y, ifax_y, ny+1, 1 ) |
---|
1308 | DEALLOCATE( work_vec ) |
---|
1309 | |
---|
1310 | mm = 1 |
---|
1311 | DO k = nzb_y, nzt_y |
---|
1312 | DO i = nxl_y_l, nxr_y_l |
---|
1313 | ar(0:ny,i,k) = f_vec(mm,0:ny) |
---|
1314 | mm = mm+1 |
---|
1315 | ENDDO |
---|
1316 | ENDDO |
---|
1317 | |
---|
1318 | DEALLOCATE( f_vec ) |
---|
1319 | |
---|
1320 | ENDIF |
---|
1321 | |
---|
1322 | ENDIF |
---|
1323 | |
---|
1324 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
1325 | |
---|
1326 | #if defined( __fftw ) |
---|
1327 | IF ( forward_fft ) THEN |
---|
1328 | |
---|
1329 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1330 | !$OMP DO |
---|
1331 | DO k = nzb_y, nzt_y |
---|
1332 | DO i = nxl_y_l, nxr_y_l |
---|
1333 | |
---|
1334 | y_in(0:ny) = ar(0:ny,i,k) |
---|
1335 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
1336 | |
---|
1337 | DO j = 0, (ny+1)/2 |
---|
1338 | ar_tr(j,i,k) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
1339 | ENDDO |
---|
1340 | DO j = 1, (ny+1)/2 - 1 |
---|
1341 | ar_tr(ny+1-j,i,k) = AIMAG( y_out(j) ) / (ny+1) |
---|
1342 | ENDDO |
---|
1343 | |
---|
1344 | ENDDO |
---|
1345 | ENDDO |
---|
1346 | !$OMP END PARALLEL |
---|
1347 | |
---|
1348 | ELSE |
---|
1349 | |
---|
1350 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1351 | !$OMP DO |
---|
1352 | DO k = nzb_y, nzt_y |
---|
1353 | DO i = nxl_y_l, nxr_y_l |
---|
1354 | |
---|
1355 | y_out(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
1356 | DO j = 1, (ny+1)/2 - 1 |
---|
1357 | y_out(j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
1358 | KIND=wp ) |
---|
1359 | ENDDO |
---|
1360 | y_out((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
1361 | KIND=wp ) |
---|
1362 | |
---|
1363 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
1364 | ar(0:ny,i,k) = y_in(0:ny) |
---|
1365 | |
---|
1366 | ENDDO |
---|
1367 | ENDDO |
---|
1368 | !$OMP END PARALLEL |
---|
1369 | |
---|
1370 | ENDIF |
---|
1371 | #endif |
---|
1372 | |
---|
1373 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1374 | |
---|
1375 | #if defined( __ibm ) |
---|
1376 | IF ( forward_fft) THEN |
---|
1377 | |
---|
1378 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1379 | !$OMP DO |
---|
1380 | DO k = nzb_y, nzt_y |
---|
1381 | DO i = nxl_y_l, nxr_y_l |
---|
1382 | |
---|
1383 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, & |
---|
1384 | nau1, auy2, nau2 ) |
---|
1385 | |
---|
1386 | DO j = 0, (ny+1)/2 |
---|
1387 | ar_tr(j,i,k) = work(2*j) |
---|
1388 | ENDDO |
---|
1389 | DO j = 1, (ny+1)/2 - 1 |
---|
1390 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1391 | ENDDO |
---|
1392 | |
---|
1393 | ENDDO |
---|
1394 | ENDDO |
---|
1395 | !$OMP END PARALLEL |
---|
1396 | |
---|
1397 | ELSE |
---|
1398 | |
---|
1399 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1400 | !$OMP DO |
---|
1401 | DO k = nzb_y, nzt_y |
---|
1402 | DO i = nxl_y_l, nxr_y_l |
---|
1403 | |
---|
1404 | DO j = 0, (ny+1)/2 |
---|
1405 | work(2*j) = ar_tr(j,i,k) |
---|
1406 | ENDDO |
---|
1407 | DO j = 1, (ny+1)/2 - 1 |
---|
1408 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1409 | ENDDO |
---|
1410 | work(1) = 0.0_wp |
---|
1411 | work(ny+2) = 0.0_wp |
---|
1412 | |
---|
1413 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, & |
---|
1414 | auy3, nau1, auy4, nau2 ) |
---|
1415 | |
---|
1416 | DO j = 0, ny |
---|
1417 | ar(j,i,k) = work(j) |
---|
1418 | ENDDO |
---|
1419 | |
---|
1420 | ENDDO |
---|
1421 | ENDDO |
---|
1422 | !$OMP END PARALLEL |
---|
1423 | |
---|
1424 | ENDIF |
---|
1425 | #elif defined( __nec ) |
---|
1426 | IF ( forward_fft ) THEN |
---|
1427 | |
---|
1428 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1429 | !$OMP DO |
---|
1430 | DO k = nzb_y, nzt_y |
---|
1431 | DO i = nxl_y_l, nxr_y_l |
---|
1432 | |
---|
1433 | work(0:ny) = ar(0:ny,i,k) |
---|
1434 | |
---|
1435 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
1436 | |
---|
1437 | DO j = 0, (ny+1)/2 |
---|
1438 | ar_tr(j,i,k) = work(2*j) |
---|
1439 | ENDDO |
---|
1440 | DO j = 1, (ny+1)/2 - 1 |
---|
1441 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1442 | ENDDO |
---|
1443 | |
---|
1444 | ENDDO |
---|
1445 | ENDDO |
---|
1446 | !$END OMP PARALLEL |
---|
1447 | |
---|
1448 | ELSE |
---|
1449 | |
---|
1450 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1451 | !$OMP DO |
---|
1452 | DO k = nzb_y, nzt_y |
---|
1453 | DO i = nxl_y_l, nxr_y_l |
---|
1454 | |
---|
1455 | DO j = 0, (ny+1)/2 |
---|
1456 | work(2*j) = ar_tr(j,i,k) |
---|
1457 | ENDDO |
---|
1458 | DO j = 1, (ny+1)/2 - 1 |
---|
1459 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1460 | ENDDO |
---|
1461 | work(1) = 0.0_wp |
---|
1462 | work(ny+2) = 0.0_wp |
---|
1463 | |
---|
1464 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
1465 | |
---|
1466 | ar(0:ny,i,k) = work(0:ny) |
---|
1467 | |
---|
1468 | ENDDO |
---|
1469 | ENDDO |
---|
1470 | !$OMP END PARALLEL |
---|
1471 | |
---|
1472 | ENDIF |
---|
1473 | #elif defined( __cuda_fft ) |
---|
1474 | |
---|
1475 | IF ( forward_fft ) THEN |
---|
1476 | |
---|
1477 | !$ACC HOST_DATA USE_DEVICE(ar, ar_tmp) |
---|
1478 | CALL CUFFTEXECD2Z( plan_yf, ar, ar_tmp ) |
---|
1479 | !$ACC END HOST_DATA |
---|
1480 | |
---|
1481 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i,j,k) & |
---|
1482 | !$ACC PRESENT(ar, ar_tmp) |
---|
1483 | DO k = nzb_y, nzt_y |
---|
1484 | DO i = nxl_y, nxr_y |
---|
1485 | |
---|
1486 | DO j = 0, (ny+1)/2 |
---|
1487 | ar(j,i,k) = REAL( ar_tmp(j,i,k), KIND=wp ) * dny |
---|
1488 | ENDDO |
---|
1489 | |
---|
1490 | DO j = 1, (ny+1)/2 - 1 |
---|
1491 | ar(ny+1-j,i,k) = AIMAG( ar_tmp(j,i,k) ) * dny |
---|
1492 | ENDDO |
---|
1493 | |
---|
1494 | ENDDO |
---|
1495 | ENDDO |
---|
1496 | |
---|
1497 | ELSE |
---|
1498 | |
---|
1499 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i,j,k) & |
---|
1500 | !$ACC PRESENT(ar, ar_tmp) |
---|
1501 | DO k = nzb_y, nzt_y |
---|
1502 | DO i = nxl_y, nxr_y |
---|
1503 | |
---|
1504 | ar_tmp(0,i,k) = CMPLX( ar(0,i,k), 0.0_wp, KIND=wp ) |
---|
1505 | |
---|
1506 | DO j = 1, (ny+1)/2 - 1 |
---|
1507 | ar_tmp(j,i,k) = CMPLX( ar(j,i,k), ar(ny+1-j,i,k), & |
---|
1508 | KIND=wp ) |
---|
1509 | ENDDO |
---|
1510 | ar_tmp((ny+1)/2,i,k) = CMPLX( ar((ny+1)/2,i,k), 0.0_wp, & |
---|
1511 | KIND=wp ) |
---|
1512 | |
---|
1513 | ENDDO |
---|
1514 | ENDDO |
---|
1515 | |
---|
1516 | !$ACC HOST_DATA USE_DEVICE(ar, ar_tmp) |
---|
1517 | CALL CUFFTEXECZ2D( plan_yi, ar_tmp, ar ) |
---|
1518 | !$ACC END HOST_DATA |
---|
1519 | |
---|
1520 | ENDIF |
---|
1521 | |
---|
1522 | #endif |
---|
1523 | |
---|
1524 | ENDIF |
---|
1525 | |
---|
1526 | END SUBROUTINE fft_y |
---|
1527 | |
---|
1528 | !------------------------------------------------------------------------------! |
---|
1529 | ! Description: |
---|
1530 | ! ------------ |
---|
1531 | !> Fourier-transformation along y-direction. |
---|
1532 | !> Version for 1D-decomposition. |
---|
1533 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
1534 | !> system-specific routines, if they are available. |
---|
1535 | !------------------------------------------------------------------------------! |
---|
1536 | |
---|
1537 | SUBROUTINE fft_y_1d( ar, direction ) |
---|
1538 | |
---|
1539 | |
---|
1540 | IMPLICIT NONE |
---|
1541 | |
---|
1542 | CHARACTER (LEN=*) :: direction |
---|
1543 | |
---|
1544 | INTEGER(iwp) :: j !< |
---|
1545 | INTEGER(iwp) :: jshape(1) !< |
---|
1546 | |
---|
1547 | LOGICAL :: forward_fft !< |
---|
1548 | |
---|
1549 | REAL(wp), DIMENSION(0:ny) :: ar !< |
---|
1550 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
1551 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
1552 | |
---|
1553 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
1554 | |
---|
1555 | #if defined( __ibm ) |
---|
1556 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
1557 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
1558 | #elif defined( __nec ) |
---|
1559 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
1560 | #endif |
---|
1561 | |
---|
1562 | IF ( direction == 'forward' ) THEN |
---|
1563 | forward_fft = .TRUE. |
---|
1564 | ELSE |
---|
1565 | forward_fft = .FALSE. |
---|
1566 | ENDIF |
---|
1567 | |
---|
1568 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
1569 | |
---|
1570 | ! |
---|
1571 | !-- Performing the fft with singleton's software works on every system, |
---|
1572 | !-- since it is part of the model |
---|
1573 | ALLOCATE( cwork(0:ny) ) |
---|
1574 | |
---|
1575 | IF ( forward_fft ) THEN |
---|
1576 | |
---|
1577 | DO j = 0, ny |
---|
1578 | cwork(j) = CMPLX( ar(j), KIND=wp ) |
---|
1579 | ENDDO |
---|
1580 | |
---|
1581 | jshape = SHAPE( cwork ) |
---|
1582 | CALL FFTN( cwork, jshape ) |
---|
1583 | |
---|
1584 | DO j = 0, (ny+1)/2 |
---|
1585 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
1586 | ENDDO |
---|
1587 | DO j = 1, (ny+1)/2 - 1 |
---|
1588 | ar(ny+1-j) = -AIMAG( cwork(j) ) |
---|
1589 | ENDDO |
---|
1590 | |
---|
1591 | ELSE |
---|
1592 | |
---|
1593 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
1594 | DO j = 1, (ny+1)/2 - 1 |
---|
1595 | cwork(j) = CMPLX( ar(j), -ar(ny+1-j), KIND=wp ) |
---|
1596 | cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
1597 | ENDDO |
---|
1598 | cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
1599 | |
---|
1600 | jshape = SHAPE( cwork ) |
---|
1601 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
1602 | |
---|
1603 | DO j = 0, ny |
---|
1604 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
1605 | ENDDO |
---|
1606 | |
---|
1607 | ENDIF |
---|
1608 | |
---|
1609 | DEALLOCATE( cwork ) |
---|
1610 | |
---|
1611 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1612 | |
---|
1613 | ! |
---|
1614 | !-- Performing the fft with Temperton's software works on every system, |
---|
1615 | !-- since it is part of the model |
---|
1616 | IF ( forward_fft ) THEN |
---|
1617 | |
---|
1618 | work(0:ny) = ar |
---|
1619 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
1620 | |
---|
1621 | DO j = 0, (ny+1)/2 |
---|
1622 | ar(j) = work(2*j) |
---|
1623 | ENDDO |
---|
1624 | DO j = 1, (ny+1)/2 - 1 |
---|
1625 | ar(ny+1-j) = work(2*j+1) |
---|
1626 | ENDDO |
---|
1627 | |
---|
1628 | ELSE |
---|
1629 | |
---|
1630 | DO j = 0, (ny+1)/2 |
---|
1631 | work(2*j) = ar(j) |
---|
1632 | ENDDO |
---|
1633 | DO j = 1, (ny+1)/2 - 1 |
---|
1634 | work(2*j+1) = ar(ny+1-j) |
---|
1635 | ENDDO |
---|
1636 | work(1) = 0.0_wp |
---|
1637 | work(ny+2) = 0.0_wp |
---|
1638 | |
---|
1639 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
1640 | ar = work(0:ny) |
---|
1641 | |
---|
1642 | ENDIF |
---|
1643 | |
---|
1644 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
1645 | |
---|
1646 | #if defined( __fftw ) |
---|
1647 | IF ( forward_fft ) THEN |
---|
1648 | |
---|
1649 | y_in(0:ny) = ar(0:ny) |
---|
1650 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
1651 | |
---|
1652 | DO j = 0, (ny+1)/2 |
---|
1653 | ar(j) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
1654 | ENDDO |
---|
1655 | DO j = 1, (ny+1)/2 - 1 |
---|
1656 | ar(ny+1-j) = AIMAG( y_out(j) ) / (ny+1) |
---|
1657 | ENDDO |
---|
1658 | |
---|
1659 | ELSE |
---|
1660 | |
---|
1661 | y_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
1662 | DO j = 1, (ny+1)/2 - 1 |
---|
1663 | y_out(j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
1664 | ENDDO |
---|
1665 | y_out((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
1666 | |
---|
1667 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
1668 | ar(0:ny) = y_in(0:ny) |
---|
1669 | |
---|
1670 | ENDIF |
---|
1671 | #endif |
---|
1672 | |
---|
1673 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1674 | |
---|
1675 | #if defined( __ibm ) |
---|
1676 | IF ( forward_fft ) THEN |
---|
1677 | |
---|
1678 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
1679 | auy2, nau2 ) |
---|
1680 | |
---|
1681 | DO j = 0, (ny+1)/2 |
---|
1682 | ar(j) = work(2*j) |
---|
1683 | ENDDO |
---|
1684 | DO j = 1, (ny+1)/2 - 1 |
---|
1685 | ar(ny+1-j) = work(2*j+1) |
---|
1686 | ENDDO |
---|
1687 | |
---|
1688 | ELSE |
---|
1689 | |
---|
1690 | DO j = 0, (ny+1)/2 |
---|
1691 | work(2*j) = ar(j) |
---|
1692 | ENDDO |
---|
1693 | DO j = 1, (ny+1)/2 - 1 |
---|
1694 | work(2*j+1) = ar(ny+1-j) |
---|
1695 | ENDDO |
---|
1696 | work(1) = 0.0_wp |
---|
1697 | work(ny+2) = 0.0_wp |
---|
1698 | |
---|
1699 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, auy3, & |
---|
1700 | nau1, auy4, nau2 ) |
---|
1701 | |
---|
1702 | DO j = 0, ny |
---|
1703 | ar(j) = work(j) |
---|
1704 | ENDDO |
---|
1705 | |
---|
1706 | ENDIF |
---|
1707 | #elif defined( __nec ) |
---|
1708 | IF ( forward_fft ) THEN |
---|
1709 | |
---|
1710 | work(0:ny) = ar(0:ny) |
---|
1711 | |
---|
1712 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
1713 | |
---|
1714 | DO j = 0, (ny+1)/2 |
---|
1715 | ar(j) = work(2*j) |
---|
1716 | ENDDO |
---|
1717 | DO j = 1, (ny+1)/2 - 1 |
---|
1718 | ar(ny+1-j) = work(2*j+1) |
---|
1719 | ENDDO |
---|
1720 | |
---|
1721 | ELSE |
---|
1722 | |
---|
1723 | DO j = 0, (ny+1)/2 |
---|
1724 | work(2*j) = ar(j) |
---|
1725 | ENDDO |
---|
1726 | DO j = 1, (ny+1)/2 - 1 |
---|
1727 | work(2*j+1) = ar(ny+1-j) |
---|
1728 | ENDDO |
---|
1729 | work(1) = 0.0_wp |
---|
1730 | work(ny+2) = 0.0_wp |
---|
1731 | |
---|
1732 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
1733 | |
---|
1734 | ar(0:ny) = work(0:ny) |
---|
1735 | |
---|
1736 | ENDIF |
---|
1737 | #endif |
---|
1738 | |
---|
1739 | ENDIF |
---|
1740 | |
---|
1741 | END SUBROUTINE fft_y_1d |
---|
1742 | |
---|
1743 | !------------------------------------------------------------------------------! |
---|
1744 | ! Description: |
---|
1745 | ! ------------ |
---|
1746 | !> Fourier-transformation along x-direction. |
---|
1747 | !> Version for 1d domain decomposition |
---|
1748 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
1749 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
1750 | !------------------------------------------------------------------------------! |
---|
1751 | |
---|
1752 | SUBROUTINE fft_x_m( ar, direction ) |
---|
1753 | |
---|
1754 | |
---|
1755 | IMPLICIT NONE |
---|
1756 | |
---|
1757 | CHARACTER (LEN=*) :: direction !< |
---|
1758 | |
---|
1759 | INTEGER(iwp) :: i !< |
---|
1760 | INTEGER(iwp) :: k !< |
---|
1761 | INTEGER(iwp) :: siza !< |
---|
1762 | #if defined( __nec ) |
---|
1763 | INTEGER(iwp) :: sizw |
---|
1764 | #endif |
---|
1765 | |
---|
1766 | REAL(wp), DIMENSION(0:nx,nz) :: ar !< |
---|
1767 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: ai !< |
---|
1768 | REAL(wp), DIMENSION(6*(nx+4),nz+1) :: work1 !< |
---|
1769 | |
---|
1770 | #if defined( __nec ) |
---|
1771 | COMPLEX(wp), DIMENSION(:,:), ALLOCATABLE :: work |
---|
1772 | #endif |
---|
1773 | |
---|
1774 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1775 | |
---|
1776 | siza = SIZE( ai, 1 ) |
---|
1777 | |
---|
1778 | IF ( direction == 'forward') THEN |
---|
1779 | |
---|
1780 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
1781 | ai(nx+1:,:) = 0.0_wp |
---|
1782 | |
---|
1783 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 ) |
---|
1784 | |
---|
1785 | DO k = 1, nz |
---|
1786 | DO i = 0, (nx+1)/2 |
---|
1787 | ar(i,k) = ai(2*i,k) |
---|
1788 | ENDDO |
---|
1789 | DO i = 1, (nx+1)/2 - 1 |
---|
1790 | ar(nx+1-i,k) = ai(2*i+1,k) |
---|
1791 | ENDDO |
---|
1792 | ENDDO |
---|
1793 | |
---|
1794 | ELSE |
---|
1795 | |
---|
1796 | DO k = 1, nz |
---|
1797 | DO i = 0, (nx+1)/2 |
---|
1798 | ai(2*i,k) = ar(i,k) |
---|
1799 | ENDDO |
---|
1800 | DO i = 1, (nx+1)/2 - 1 |
---|
1801 | ai(2*i+1,k) = ar(nx+1-i,k) |
---|
1802 | ENDDO |
---|
1803 | ai(1,k) = 0.0_wp |
---|
1804 | ai(nx+2,k) = 0.0_wp |
---|
1805 | ENDDO |
---|
1806 | |
---|
1807 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 ) |
---|
1808 | |
---|
1809 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
1810 | |
---|
1811 | ENDIF |
---|
1812 | |
---|
1813 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1814 | |
---|
1815 | #if defined( __nec ) |
---|
1816 | ALLOCATE( work((nx+4)/2+1,nz+1) ) |
---|
1817 | siza = SIZE( ai, 1 ) |
---|
1818 | sizw = SIZE( work, 1 ) |
---|
1819 | |
---|
1820 | IF ( direction == 'forward') THEN |
---|
1821 | |
---|
1822 | ! |
---|
1823 | !-- Tables are initialized once more. This call should not be |
---|
1824 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1825 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
1826 | trig_xf, work1, 0 ) |
---|
1827 | |
---|
1828 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
1829 | IF ( nz1 > nz ) THEN |
---|
1830 | ai(:,nz1) = 0.0_wp |
---|
1831 | ENDIF |
---|
1832 | |
---|
1833 | CALL DZFFTM( 1, nx+1, nz1, sqr_dnx, ai, siza, work, sizw, & |
---|
1834 | trig_xf, work1, 0 ) |
---|
1835 | |
---|
1836 | DO k = 1, nz |
---|
1837 | DO i = 0, (nx+1)/2 |
---|
1838 | ar(i,k) = REAL( work(i+1,k), KIND=wp ) |
---|
1839 | ENDDO |
---|
1840 | DO i = 1, (nx+1)/2 - 1 |
---|
1841 | ar(nx+1-i,k) = AIMAG( work(i+1,k) ) |
---|
1842 | ENDDO |
---|
1843 | ENDDO |
---|
1844 | |
---|
1845 | ELSE |
---|
1846 | |
---|
1847 | ! |
---|
1848 | !-- Tables are initialized once more. This call should not be |
---|
1849 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1850 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
1851 | trig_xb, work1, 0 ) |
---|
1852 | |
---|
1853 | IF ( nz1 > nz ) THEN |
---|
1854 | work(:,nz1) = 0.0_wp |
---|
1855 | ENDIF |
---|
1856 | DO k = 1, nz |
---|
1857 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
1858 | DO i = 1, (nx+1)/2 - 1 |
---|
1859 | work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k), KIND=wp ) |
---|
1860 | ENDDO |
---|
1861 | work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0_wp, KIND=wp ) |
---|
1862 | ENDDO |
---|
1863 | |
---|
1864 | CALL ZDFFTM( -1, nx+1, nz1, sqr_dnx, work, sizw, ai, siza, & |
---|
1865 | trig_xb, work1, 0 ) |
---|
1866 | |
---|
1867 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
1868 | |
---|
1869 | ENDIF |
---|
1870 | |
---|
1871 | DEALLOCATE( work ) |
---|
1872 | #endif |
---|
1873 | |
---|
1874 | ENDIF |
---|
1875 | |
---|
1876 | END SUBROUTINE fft_x_m |
---|
1877 | |
---|
1878 | !------------------------------------------------------------------------------! |
---|
1879 | ! Description: |
---|
1880 | ! ------------ |
---|
1881 | !> Fourier-transformation along y-direction. |
---|
1882 | !> Version for 1d domain decomposition |
---|
1883 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
1884 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
1885 | !------------------------------------------------------------------------------! |
---|
1886 | |
---|
1887 | SUBROUTINE fft_y_m( ar, ny1, direction ) |
---|
1888 | |
---|
1889 | |
---|
1890 | IMPLICIT NONE |
---|
1891 | |
---|
1892 | CHARACTER (LEN=*) :: direction !< |
---|
1893 | |
---|
1894 | INTEGER(iwp) :: j !< |
---|
1895 | INTEGER(iwp) :: k !< |
---|
1896 | INTEGER(iwp) :: ny1 !< |
---|
1897 | INTEGER(iwp) :: siza !< |
---|
1898 | #if defined( __nec ) |
---|
1899 | INTEGER(iwp) :: sizw |
---|
1900 | #endif |
---|
1901 | |
---|
1902 | REAL(wp), DIMENSION(0:ny1,nz) :: ar !< |
---|
1903 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: ai !< |
---|
1904 | REAL(wp), DIMENSION(6*(ny+4),nz+1) :: work1 !< |
---|
1905 | |
---|
1906 | #if defined( __nec ) |
---|
1907 | COMPLEX(wp), DIMENSION(:,:), ALLOCATABLE :: work |
---|
1908 | #endif |
---|
1909 | |
---|
1910 | |
---|
1911 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1912 | |
---|
1913 | siza = SIZE( ai, 1 ) |
---|
1914 | |
---|
1915 | IF ( direction == 'forward') THEN |
---|
1916 | |
---|
1917 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
1918 | ai(ny+1:,:) = 0.0_wp |
---|
1919 | |
---|
1920 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 ) |
---|
1921 | |
---|
1922 | DO k = 1, nz |
---|
1923 | DO j = 0, (ny+1)/2 |
---|
1924 | ar(j,k) = ai(2*j,k) |
---|
1925 | ENDDO |
---|
1926 | DO j = 1, (ny+1)/2 - 1 |
---|
1927 | ar(ny+1-j,k) = ai(2*j+1,k) |
---|
1928 | ENDDO |
---|
1929 | ENDDO |
---|
1930 | |
---|
1931 | ELSE |
---|
1932 | |
---|
1933 | DO k = 1, nz |
---|
1934 | DO j = 0, (ny+1)/2 |
---|
1935 | ai(2*j,k) = ar(j,k) |
---|
1936 | ENDDO |
---|
1937 | DO j = 1, (ny+1)/2 - 1 |
---|
1938 | ai(2*j+1,k) = ar(ny+1-j,k) |
---|
1939 | ENDDO |
---|
1940 | ai(1,k) = 0.0_wp |
---|
1941 | ai(ny+2,k) = 0.0_wp |
---|
1942 | ENDDO |
---|
1943 | |
---|
1944 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 ) |
---|
1945 | |
---|
1946 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
1947 | |
---|
1948 | ENDIF |
---|
1949 | |
---|
1950 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1951 | |
---|
1952 | #if defined( __nec ) |
---|
1953 | ALLOCATE( work((ny+4)/2+1,nz+1) ) |
---|
1954 | siza = SIZE( ai, 1 ) |
---|
1955 | sizw = SIZE( work, 1 ) |
---|
1956 | |
---|
1957 | IF ( direction == 'forward') THEN |
---|
1958 | |
---|
1959 | ! |
---|
1960 | !-- Tables are initialized once more. This call should not be |
---|
1961 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1962 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
1963 | trig_yf, work1, 0 ) |
---|
1964 | |
---|
1965 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
1966 | IF ( nz1 > nz ) THEN |
---|
1967 | ai(:,nz1) = 0.0_wp |
---|
1968 | ENDIF |
---|
1969 | |
---|
1970 | CALL DZFFTM( 1, ny+1, nz1, sqr_dny, ai, siza, work, sizw, & |
---|
1971 | trig_yf, work1, 0 ) |
---|
1972 | |
---|
1973 | DO k = 1, nz |
---|
1974 | DO j = 0, (ny+1)/2 |
---|
1975 | ar(j,k) = REAL( work(j+1,k), KIND=wp ) |
---|
1976 | ENDDO |
---|
1977 | DO j = 1, (ny+1)/2 - 1 |
---|
1978 | ar(ny+1-j,k) = AIMAG( work(j+1,k) ) |
---|
1979 | ENDDO |
---|
1980 | ENDDO |
---|
1981 | |
---|
1982 | ELSE |
---|
1983 | |
---|
1984 | ! |
---|
1985 | !-- Tables are initialized once more. This call should not be |
---|
1986 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1987 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
1988 | trig_yb, work1, 0 ) |
---|
1989 | |
---|
1990 | IF ( nz1 > nz ) THEN |
---|
1991 | work(:,nz1) = 0.0_wp |
---|
1992 | ENDIF |
---|
1993 | DO k = 1, nz |
---|
1994 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
1995 | DO j = 1, (ny+1)/2 - 1 |
---|
1996 | work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k), KIND=wp ) |
---|
1997 | ENDDO |
---|
1998 | work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0_wp, KIND=wp ) |
---|
1999 | ENDDO |
---|
2000 | |
---|
2001 | CALL ZDFFTM( -1, ny+1, nz1, sqr_dny, work, sizw, ai, siza, & |
---|
2002 | trig_yb, work1, 0 ) |
---|
2003 | |
---|
2004 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
2005 | |
---|
2006 | ENDIF |
---|
2007 | |
---|
2008 | DEALLOCATE( work ) |
---|
2009 | #endif |
---|
2010 | |
---|
2011 | ENDIF |
---|
2012 | |
---|
2013 | END SUBROUTINE fft_y_m |
---|
2014 | |
---|
2015 | |
---|
2016 | END MODULE fft_xy |
---|