1 | !> @file fft_xy_mod.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of PALM. |
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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 1997-2016 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 2001 2016-08-20 18:41:22Z suehring $ |
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27 | ! |
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28 | ! 2000 2016-08-20 18:09:15Z knoop |
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29 | ! Forced header and separation lines into 80 columns |
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30 | ! |
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31 | ! 1850 2016-04-08 13:29:27Z maronga |
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32 | ! Module renamed |
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33 | ! |
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34 | ! |
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35 | ! 1815 2016-04-06 13:49:59Z raasch |
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36 | ! cpp-directives for ibmy removed |
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37 | ! |
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38 | ! 1749 2016-02-09 12:19:56Z raasch |
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39 | ! small OpenACC bugfix |
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40 | ! |
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41 | ! 1682 2015-10-07 23:56:08Z knoop |
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42 | ! Code annotations made doxygen readable |
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43 | ! |
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44 | ! 1600 2015-06-11 15:50:12Z raasch |
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45 | ! bugfix: openMP threadprivate statement moved after variable declaration |
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46 | ! |
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47 | ! 1482 2014-10-18 12:34:45Z raasch |
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48 | ! cudafft workaround for data declaration of ar_tmp because of PGI 14.1 bug |
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49 | ! |
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50 | ! 1402 2014-05-09 14:25:13Z raasch |
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51 | ! fortran bugfix for r1392 |
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52 | ! |
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53 | ! 1398 2014-05-07 11:15:00Z heinze |
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54 | ! bugfix: typo removed for KIND in CMPLX function |
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55 | ! |
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56 | ! 1392 2014-05-06 09:10:05Z raasch |
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57 | ! bugfix: KIND attribute added to CMPLX functions |
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58 | ! |
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59 | ! 1374 2014-04-25 12:55:07Z raasch |
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60 | ! bugfixes: missing variables added to ONLY list, dpk renamed dp |
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61 | ! |
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62 | ! 1372 2014-04-24 06:29:32Z raasch |
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63 | ! openMP-bugfix for fftw: some arrays defined as threadprivate |
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64 | ! |
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65 | ! 1353 2014-04-08 15:21:23Z heinze |
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66 | ! REAL constants provided with KIND-attribute |
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67 | ! |
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68 | ! 1342 2014-03-26 17:04:47Z kanani |
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69 | ! REAL constants defined as wp-kind |
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70 | ! |
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71 | ! 1322 2014-03-20 16:38:49Z raasch |
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72 | ! REAL functions provided with KIND-attribute |
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73 | ! |
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74 | ! 1320 2014-03-20 08:40:49Z raasch |
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75 | ! ONLY-attribute added to USE-statements, |
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76 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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77 | ! kinds are defined in new module kinds, |
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78 | ! old module precision_kind is removed, |
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79 | ! revision history before 2012 removed, |
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80 | ! comment fields (!:) to be used for variable explanations added to |
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81 | ! all variable declaration statements |
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82 | ! |
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83 | ! 1304 2014-03-12 10:29:42Z raasch |
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84 | ! openmp bugfix: work1 used in Temperton algorithm must be private |
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85 | ! |
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86 | ! 1257 2013-11-08 15:18:40Z raasch |
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87 | ! openacc loop and loop vector clauses removed, declare create moved after |
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88 | ! the FORTRAN declaration statement |
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89 | ! |
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90 | ! 1219 2013-08-30 09:33:18Z heinze |
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91 | ! bugfix: use own branch for fftw |
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92 | ! |
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93 | ! 1216 2013-08-26 09:31:42Z raasch |
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94 | ! fft_x and fft_y modified for parallel / ovverlapping execution of fft and |
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95 | ! transpositions, |
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96 | ! fftw implemented for 1d-decomposition (fft_x_1d, fft_y_1d) |
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97 | ! |
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98 | ! 1210 2013-08-14 10:58:20Z raasch |
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99 | ! fftw added |
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100 | ! |
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101 | ! 1166 2013-05-24 13:55:44Z raasch |
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102 | ! C_DOUBLE/COMPLEX reset to dpk |
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103 | ! |
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104 | ! 1153 2013-05-10 14:33:08Z raasch |
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105 | ! code adjustment of data types for CUDA fft required by PGI 12.3 / CUDA 5.0 |
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106 | ! |
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107 | ! 1111 2013-03-08 23:54:10Z raasch |
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108 | ! further openACC statements added, CUDA branch completely runs on GPU |
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109 | ! bugfix: CUDA fft plans adjusted for domain decomposition (before they always |
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110 | ! used total domain) |
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111 | ! |
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112 | ! 1106 2013-03-04 05:31:38Z raasch |
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113 | ! CUDA fft added |
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114 | ! array_kind renamed precision_kind, 3D- instead of 1D-loops in fft_x and fft_y |
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115 | ! old fft_x, fft_y become fft_x_1d, fft_y_1d and are used for 1D-decomposition |
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116 | ! |
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117 | ! 1092 2013-02-02 11:24:22Z raasch |
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118 | ! variable sizw declared for NEC case only |
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119 | ! |
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120 | ! 1036 2012-10-22 13:43:42Z raasch |
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121 | ! code put under GPL (PALM 3.9) |
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122 | ! |
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123 | ! Revision 1.1 2002/06/11 13:00:49 raasch |
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124 | ! Initial revision |
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125 | ! |
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126 | ! |
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127 | ! Description: |
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128 | ! ------------ |
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129 | !> Fast Fourier transformation along x and y for 1d domain decomposition along x. |
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130 | !> Original version: Klaus Ketelsen (May 2002) |
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131 | !------------------------------------------------------------------------------! |
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132 | MODULE fft_xy |
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133 | |
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134 | |
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135 | USE control_parameters, & |
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136 | ONLY: fft_method, message_string |
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137 | |
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138 | USE indices, & |
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139 | ONLY: nx, ny, nz |
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140 | |
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141 | #if defined( __cuda_fft ) |
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142 | USE ISO_C_BINDING |
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143 | #elif defined( __fftw ) |
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144 | USE, INTRINSIC :: ISO_C_BINDING |
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145 | #endif |
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146 | |
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147 | USE kinds |
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148 | |
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149 | USE singleton, & |
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150 | ONLY: fftn |
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151 | |
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152 | USE temperton_fft |
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153 | |
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154 | USE transpose_indices, & |
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155 | ONLY: nxl_y, nxr_y, nyn_x, nys_x, nzb_x, nzb_y, nzt_x, nzt_y |
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156 | |
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157 | IMPLICIT NONE |
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158 | |
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159 | PRIVATE |
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160 | PUBLIC fft_x, fft_x_1d, fft_y, fft_y_1d, fft_init, fft_x_m, fft_y_m |
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161 | |
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162 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x !< |
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163 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_y !< |
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164 | |
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165 | LOGICAL, SAVE :: init_fft = .FALSE. !< |
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166 | |
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167 | REAL(wp), SAVE :: dnx !< |
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168 | REAL(wp), SAVE :: dny !< |
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169 | REAL(wp), SAVE :: sqr_dnx !< |
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170 | REAL(wp), SAVE :: sqr_dny !< |
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171 | |
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172 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x !< |
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173 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_y !< |
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174 | |
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175 | #if defined( __ibm ) |
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176 | INTEGER(iwp), PARAMETER :: nau1 = 20000 !< |
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177 | INTEGER(iwp), PARAMETER :: nau2 = 22000 !< |
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178 | ! |
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179 | !-- The following working arrays contain tables and have to be "save" and |
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180 | !-- shared in OpenMP sense |
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181 | REAL(wp), DIMENSION(nau1), SAVE :: aux1 !< |
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182 | REAL(wp), DIMENSION(nau1), SAVE :: auy1 !< |
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183 | REAL(wp), DIMENSION(nau1), SAVE :: aux3 !< |
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184 | REAL(wp), DIMENSION(nau1), SAVE :: auy3 !< |
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185 | |
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186 | #elif defined( __nec ) |
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187 | INTEGER(iwp), SAVE :: nz1 !< |
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188 | |
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189 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb !< |
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190 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xf !< |
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191 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yb !< |
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192 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yf !< |
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193 | |
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194 | #elif defined( __cuda_fft ) |
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195 | INTEGER(C_INT), SAVE :: plan_xf !< |
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196 | INTEGER(C_INT), SAVE :: plan_xi !< |
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197 | INTEGER(C_INT), SAVE :: plan_yf !< |
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198 | INTEGER(C_INT), SAVE :: plan_yi !< |
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199 | |
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200 | INTEGER(iwp), SAVE :: total_points_x_transpo !< |
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201 | INTEGER(iwp), SAVE :: total_points_y_transpo !< |
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202 | #endif |
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203 | |
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204 | #if defined( __fftw ) |
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205 | INCLUDE 'fftw3.f03' |
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206 | INTEGER(KIND=C_INT) :: nx_c !< |
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207 | INTEGER(KIND=C_INT) :: ny_c !< |
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208 | |
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209 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: x_out !< |
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210 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: & |
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211 | y_out !< |
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212 | |
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213 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
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214 | x_in !< |
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215 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
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216 | y_in !< |
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217 | !$OMP THREADPRIVATE( x_out, y_out, x_in, y_in ) |
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218 | |
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219 | |
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220 | TYPE(C_PTR), SAVE :: plan_xf, plan_xi, plan_yf, plan_yi |
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221 | #endif |
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222 | |
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223 | ! |
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224 | !-- Public interfaces |
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225 | INTERFACE fft_init |
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226 | MODULE PROCEDURE fft_init |
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227 | END INTERFACE fft_init |
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228 | |
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229 | INTERFACE fft_x |
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230 | MODULE PROCEDURE fft_x |
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231 | END INTERFACE fft_x |
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232 | |
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233 | INTERFACE fft_x_1d |
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234 | MODULE PROCEDURE fft_x_1d |
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235 | END INTERFACE fft_x_1d |
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236 | |
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237 | INTERFACE fft_y |
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238 | MODULE PROCEDURE fft_y |
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239 | END INTERFACE fft_y |
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240 | |
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241 | INTERFACE fft_y_1d |
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242 | MODULE PROCEDURE fft_y_1d |
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243 | END INTERFACE fft_y_1d |
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244 | |
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245 | INTERFACE fft_x_m |
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246 | MODULE PROCEDURE fft_x_m |
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247 | END INTERFACE fft_x_m |
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248 | |
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249 | INTERFACE fft_y_m |
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250 | MODULE PROCEDURE fft_y_m |
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251 | END INTERFACE fft_y_m |
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252 | |
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253 | CONTAINS |
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254 | |
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255 | |
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256 | !------------------------------------------------------------------------------! |
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257 | ! Description: |
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258 | ! ------------ |
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259 | !> @todo Missing subroutine description. |
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260 | !------------------------------------------------------------------------------! |
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261 | SUBROUTINE fft_init |
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262 | |
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263 | USE cuda_fft_interfaces |
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264 | |
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265 | IMPLICIT NONE |
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266 | |
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267 | ! |
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268 | !-- The following temporary working arrays have to be on stack or private |
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269 | !-- in OpenMP sense |
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270 | #if defined( __ibm ) |
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271 | REAL(wp), DIMENSION(0:nx+2) :: workx !< |
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272 | REAL(wp), DIMENSION(0:ny+2) :: worky !< |
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273 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
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274 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
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275 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
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276 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
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277 | #elif defined( __nec ) |
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278 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: work_x !< |
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279 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: work_y !< |
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280 | REAL(wp), DIMENSION(6*(nx+3),nz+1) :: workx !< |
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281 | REAL(wp), DIMENSION(6*(ny+3),nz+1) :: worky !< |
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282 | #endif |
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283 | |
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284 | ! |
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285 | !-- Return, if already called |
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286 | IF ( init_fft ) THEN |
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287 | RETURN |
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288 | ELSE |
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289 | init_fft = .TRUE. |
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290 | ENDIF |
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291 | |
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292 | IF ( fft_method == 'system-specific' ) THEN |
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293 | |
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294 | dnx = 1.0_wp / ( nx + 1.0_wp ) |
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295 | dny = 1.0_wp / ( ny + 1.0_wp ) |
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296 | sqr_dnx = SQRT( dnx ) |
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297 | sqr_dny = SQRT( dny ) |
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298 | #if defined( __ibm ) |
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299 | ! |
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300 | !-- Initialize tables for fft along x |
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301 | CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
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302 | aux2, nau2 ) |
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303 | CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
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304 | aux4, nau2 ) |
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305 | ! |
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306 | !-- Initialize tables for fft along y |
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307 | CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
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308 | auy2, nau2 ) |
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309 | CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
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310 | auy4, nau2 ) |
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311 | #elif defined( __nec ) |
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312 | message_string = 'fft method "' // TRIM( fft_method) // & |
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313 | '" currently does not work on NEC' |
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314 | CALL message( 'fft_init', 'PA0187', 1, 2, 0, 6, 0 ) |
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315 | |
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316 | ALLOCATE( trig_xb(2*(nx+1)), trig_xf(2*(nx+1)), & |
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317 | trig_yb(2*(ny+1)), trig_yf(2*(ny+1)) ) |
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318 | |
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319 | work_x = 0.0_wp |
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320 | work_y = 0.0_wp |
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321 | nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly |
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322 | ! when using the NEC ffts |
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323 | |
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324 | ! |
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325 | !-- Initialize tables for fft along x (non-vector and vector case (M)) |
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326 | CALL DZFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xf, workx, 0 ) |
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327 | CALL ZDFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xb, workx, 0 ) |
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328 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
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329 | trig_xf, workx, 0 ) |
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330 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
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331 | trig_xb, workx, 0 ) |
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332 | ! |
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333 | !-- Initialize tables for fft along y (non-vector and vector case (M)) |
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334 | CALL DZFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yf, worky, 0 ) |
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335 | CALL ZDFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yb, worky, 0 ) |
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336 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
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337 | trig_yf, worky, 0 ) |
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338 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
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339 | trig_yb, worky, 0 ) |
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340 | #elif defined( __cuda_fft ) |
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341 | total_points_x_transpo = (nx+1) * (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) |
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342 | total_points_y_transpo = (ny+1) * (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) |
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343 | CALL CUFFTPLAN1D( plan_xf, nx+1, CUFFT_D2Z, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
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344 | CALL CUFFTPLAN1D( plan_xi, nx+1, CUFFT_Z2D, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
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345 | CALL CUFFTPLAN1D( plan_yf, ny+1, CUFFT_D2Z, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
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346 | CALL CUFFTPLAN1D( plan_yi, ny+1, CUFFT_Z2D, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
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347 | #else |
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348 | message_string = 'no system-specific fft-call available' |
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349 | CALL message( 'fft_init', 'PA0188', 1, 2, 0, 6, 0 ) |
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350 | #endif |
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351 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
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352 | ! |
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353 | !-- Temperton-algorithm |
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354 | !-- Initialize tables for fft along x and y |
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355 | ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) ) |
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356 | |
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357 | CALL set99( trigs_x, ifax_x, nx+1 ) |
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358 | CALL set99( trigs_y, ifax_y, ny+1 ) |
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359 | |
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360 | ELSEIF ( fft_method == 'fftw' ) THEN |
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361 | ! |
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362 | !-- FFTW |
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363 | #if defined( __fftw ) |
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364 | nx_c = nx+1 |
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365 | ny_c = ny+1 |
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366 | !$OMP PARALLEL |
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367 | ALLOCATE( x_in(0:nx+2), y_in(0:ny+2), x_out(0:(nx+1)/2), & |
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368 | y_out(0:(ny+1)/2) ) |
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369 | !$OMP END PARALLEL |
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370 | plan_xf = FFTW_PLAN_DFT_R2C_1D( nx_c, x_in, x_out, FFTW_ESTIMATE ) |
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371 | plan_xi = FFTW_PLAN_DFT_C2R_1D( nx_c, x_out, x_in, FFTW_ESTIMATE ) |
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372 | plan_yf = FFTW_PLAN_DFT_R2C_1D( ny_c, y_in, y_out, FFTW_ESTIMATE ) |
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373 | plan_yi = FFTW_PLAN_DFT_C2R_1D( ny_c, y_out, y_in, FFTW_ESTIMATE ) |
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374 | #else |
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375 | message_string = 'preprocessor switch for fftw is missing' |
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376 | CALL message( 'fft_init', 'PA0080', 1, 2, 0, 6, 0 ) |
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377 | #endif |
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378 | |
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379 | ELSEIF ( fft_method == 'singleton-algorithm' ) THEN |
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380 | |
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381 | CONTINUE |
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382 | |
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383 | ELSE |
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384 | |
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385 | message_string = 'fft method "' // TRIM( fft_method) // & |
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386 | '" not available' |
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387 | CALL message( 'fft_init', 'PA0189', 1, 2, 0, 6, 0 ) |
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388 | ENDIF |
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389 | |
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390 | END SUBROUTINE fft_init |
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391 | |
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392 | |
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393 | !------------------------------------------------------------------------------! |
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394 | ! Description: |
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395 | ! ------------ |
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396 | !> Fourier-transformation along x-direction. |
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397 | !> Version for 2D-decomposition. |
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398 | !> It uses internal algorithms (Singleton or Temperton) or |
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399 | !> system-specific routines, if they are available |
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400 | !------------------------------------------------------------------------------! |
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401 | |
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402 | SUBROUTINE fft_x( ar, direction, ar_2d ) |
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403 | |
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404 | |
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405 | USE cuda_fft_interfaces |
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406 | #if defined( __cuda_fft ) |
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407 | USE ISO_C_BINDING |
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408 | #endif |
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409 | |
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410 | IMPLICIT NONE |
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411 | |
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412 | CHARACTER (LEN=*) :: direction !< |
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413 | |
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414 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
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415 | |
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416 | INTEGER(iwp) :: i !< |
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417 | INTEGER(iwp) :: ishape(1) !< |
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418 | INTEGER(iwp) :: j !< |
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419 | INTEGER(iwp) :: k !< |
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420 | |
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421 | LOGICAL :: forward_fft !< |
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422 | |
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423 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
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424 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
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425 | |
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426 | #if defined( __ibm ) |
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427 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
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428 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
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429 | #elif defined( __nec ) |
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430 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
431 | #elif defined( __cuda_fft ) |
---|
432 | COMPLEX(dp), DIMENSION(0:(nx+1)/2,nys_x:nyn_x,nzb_x:nzt_x) :: & |
---|
433 | ar_tmp !< |
---|
434 | ! following does not work for PGI 14.1 -> to be removed later |
---|
435 | ! !$acc declare create( ar_tmp ) |
---|
436 | #endif |
---|
437 | |
---|
438 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x), OPTIONAL :: & |
---|
439 | ar_2d !< |
---|
440 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: & |
---|
441 | ar !< |
---|
442 | |
---|
443 | IF ( direction == 'forward' ) THEN |
---|
444 | forward_fft = .TRUE. |
---|
445 | ELSE |
---|
446 | forward_fft = .FALSE. |
---|
447 | ENDIF |
---|
448 | |
---|
449 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
450 | |
---|
451 | ! |
---|
452 | !-- Performing the fft with singleton's software works on every system, |
---|
453 | !-- since it is part of the model |
---|
454 | ALLOCATE( cwork(0:nx) ) |
---|
455 | |
---|
456 | IF ( forward_fft ) then |
---|
457 | |
---|
458 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
---|
459 | !$OMP DO |
---|
460 | DO k = nzb_x, nzt_x |
---|
461 | DO j = nys_x, nyn_x |
---|
462 | |
---|
463 | DO i = 0, nx |
---|
464 | cwork(i) = CMPLX( ar(i,j,k), KIND=wp ) |
---|
465 | ENDDO |
---|
466 | |
---|
467 | ishape = SHAPE( cwork ) |
---|
468 | CALL FFTN( cwork, ishape ) |
---|
469 | |
---|
470 | DO i = 0, (nx+1)/2 |
---|
471 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
472 | ENDDO |
---|
473 | DO i = 1, (nx+1)/2 - 1 |
---|
474 | ar(nx+1-i,j,k) = -AIMAG( cwork(i) ) |
---|
475 | ENDDO |
---|
476 | |
---|
477 | ENDDO |
---|
478 | ENDDO |
---|
479 | !$OMP END PARALLEL |
---|
480 | |
---|
481 | ELSE |
---|
482 | |
---|
483 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
---|
484 | !$OMP DO |
---|
485 | DO k = nzb_x, nzt_x |
---|
486 | DO j = nys_x, nyn_x |
---|
487 | |
---|
488 | cwork(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
489 | DO i = 1, (nx+1)/2 - 1 |
---|
490 | cwork(i) = CMPLX( ar(i,j,k), -ar(nx+1-i,j,k), & |
---|
491 | KIND=wp ) |
---|
492 | cwork(nx+1-i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
---|
493 | KIND=wp ) |
---|
494 | ENDDO |
---|
495 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, KIND=wp ) |
---|
496 | |
---|
497 | ishape = SHAPE( cwork ) |
---|
498 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
499 | |
---|
500 | DO i = 0, nx |
---|
501 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
502 | ENDDO |
---|
503 | |
---|
504 | ENDDO |
---|
505 | ENDDO |
---|
506 | !$OMP END PARALLEL |
---|
507 | |
---|
508 | ENDIF |
---|
509 | |
---|
510 | DEALLOCATE( cwork ) |
---|
511 | |
---|
512 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
513 | |
---|
514 | ! |
---|
515 | !-- Performing the fft with Temperton's software works on every system, |
---|
516 | !-- since it is part of the model |
---|
517 | IF ( forward_fft ) 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 | work(0:nx) = ar(0:nx,j,k) |
---|
525 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
526 | |
---|
527 | DO i = 0, (nx+1)/2 |
---|
528 | ar(i,j,k) = work(2*i) |
---|
529 | ENDDO |
---|
530 | DO i = 1, (nx+1)/2 - 1 |
---|
531 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
532 | ENDDO |
---|
533 | |
---|
534 | ENDDO |
---|
535 | ENDDO |
---|
536 | !$OMP END PARALLEL |
---|
537 | |
---|
538 | ELSE |
---|
539 | |
---|
540 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
541 | !$OMP DO |
---|
542 | DO k = nzb_x, nzt_x |
---|
543 | DO j = nys_x, nyn_x |
---|
544 | |
---|
545 | DO i = 0, (nx+1)/2 |
---|
546 | work(2*i) = ar(i,j,k) |
---|
547 | ENDDO |
---|
548 | DO i = 1, (nx+1)/2 - 1 |
---|
549 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
550 | ENDDO |
---|
551 | work(1) = 0.0_wp |
---|
552 | work(nx+2) = 0.0_wp |
---|
553 | |
---|
554 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
555 | ar(0:nx,j,k) = work(0:nx) |
---|
556 | |
---|
557 | ENDDO |
---|
558 | ENDDO |
---|
559 | !$OMP END PARALLEL |
---|
560 | |
---|
561 | ENDIF |
---|
562 | |
---|
563 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
564 | |
---|
565 | #if defined( __fftw ) |
---|
566 | IF ( forward_fft ) THEN |
---|
567 | |
---|
568 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
569 | !$OMP DO |
---|
570 | DO k = nzb_x, nzt_x |
---|
571 | DO j = nys_x, nyn_x |
---|
572 | |
---|
573 | x_in(0:nx) = ar(0:nx,j,k) |
---|
574 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
575 | |
---|
576 | IF ( PRESENT( ar_2d ) ) THEN |
---|
577 | |
---|
578 | DO i = 0, (nx+1)/2 |
---|
579 | ar_2d(i,j) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
580 | ENDDO |
---|
581 | DO i = 1, (nx+1)/2 - 1 |
---|
582 | ar_2d(nx+1-i,j) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
583 | ENDDO |
---|
584 | |
---|
585 | ELSE |
---|
586 | |
---|
587 | DO i = 0, (nx+1)/2 |
---|
588 | ar(i,j,k) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
589 | ENDDO |
---|
590 | DO i = 1, (nx+1)/2 - 1 |
---|
591 | ar(nx+1-i,j,k) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
592 | ENDDO |
---|
593 | |
---|
594 | ENDIF |
---|
595 | |
---|
596 | ENDDO |
---|
597 | ENDDO |
---|
598 | !$OMP END PARALLEL |
---|
599 | |
---|
600 | ELSE |
---|
601 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
602 | !$OMP DO |
---|
603 | DO k = nzb_x, nzt_x |
---|
604 | DO j = nys_x, nyn_x |
---|
605 | |
---|
606 | IF ( PRESENT( ar_2d ) ) THEN |
---|
607 | |
---|
608 | x_out(0) = CMPLX( ar_2d(0,j), 0.0_wp, KIND=wp ) |
---|
609 | DO i = 1, (nx+1)/2 - 1 |
---|
610 | x_out(i) = CMPLX( ar_2d(i,j), ar_2d(nx+1-i,j), & |
---|
611 | KIND=wp ) |
---|
612 | ENDDO |
---|
613 | x_out((nx+1)/2) = CMPLX( ar_2d((nx+1)/2,j), 0.0_wp, & |
---|
614 | KIND=wp ) |
---|
615 | |
---|
616 | ELSE |
---|
617 | |
---|
618 | x_out(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
619 | DO i = 1, (nx+1)/2 - 1 |
---|
620 | x_out(i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), KIND=wp ) |
---|
621 | ENDDO |
---|
622 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
623 | KIND=wp ) |
---|
624 | |
---|
625 | ENDIF |
---|
626 | |
---|
627 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
628 | ar(0:nx,j,k) = x_in(0:nx) |
---|
629 | |
---|
630 | ENDDO |
---|
631 | ENDDO |
---|
632 | !$OMP END PARALLEL |
---|
633 | |
---|
634 | ENDIF |
---|
635 | #endif |
---|
636 | |
---|
637 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
638 | |
---|
639 | #if defined( __ibm ) |
---|
640 | IF ( forward_fft ) THEN |
---|
641 | |
---|
642 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
643 | !$OMP DO |
---|
644 | DO k = nzb_x, nzt_x |
---|
645 | DO j = nys_x, nyn_x |
---|
646 | |
---|
647 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, & |
---|
648 | nau1, aux2, nau2 ) |
---|
649 | |
---|
650 | DO i = 0, (nx+1)/2 |
---|
651 | ar(i,j,k) = work(2*i) |
---|
652 | ENDDO |
---|
653 | DO i = 1, (nx+1)/2 - 1 |
---|
654 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
655 | ENDDO |
---|
656 | |
---|
657 | ENDDO |
---|
658 | ENDDO |
---|
659 | !$OMP END PARALLEL |
---|
660 | |
---|
661 | ELSE |
---|
662 | |
---|
663 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
664 | !$OMP DO |
---|
665 | DO k = nzb_x, nzt_x |
---|
666 | DO j = nys_x, nyn_x |
---|
667 | |
---|
668 | DO i = 0, (nx+1)/2 |
---|
669 | work(2*i) = ar(i,j,k) |
---|
670 | ENDDO |
---|
671 | DO i = 1, (nx+1)/2 - 1 |
---|
672 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
673 | ENDDO |
---|
674 | work(1) = 0.0_wp |
---|
675 | work(nx+2) = 0.0_wp |
---|
676 | |
---|
677 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, & |
---|
678 | aux3, nau1, aux4, nau2 ) |
---|
679 | |
---|
680 | DO i = 0, nx |
---|
681 | ar(i,j,k) = work(i) |
---|
682 | ENDDO |
---|
683 | |
---|
684 | ENDDO |
---|
685 | ENDDO |
---|
686 | !$OMP END PARALLEL |
---|
687 | |
---|
688 | ENDIF |
---|
689 | |
---|
690 | #elif defined( __nec ) |
---|
691 | |
---|
692 | IF ( forward_fft ) THEN |
---|
693 | |
---|
694 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
695 | !$OMP DO |
---|
696 | DO k = nzb_x, nzt_x |
---|
697 | DO j = nys_x, nyn_x |
---|
698 | |
---|
699 | work(0:nx) = ar(0:nx,j,k) |
---|
700 | |
---|
701 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
702 | |
---|
703 | DO i = 0, (nx+1)/2 |
---|
704 | ar(i,j,k) = work(2*i) |
---|
705 | ENDDO |
---|
706 | DO i = 1, (nx+1)/2 - 1 |
---|
707 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
708 | ENDDO |
---|
709 | |
---|
710 | ENDDO |
---|
711 | ENDDO |
---|
712 | !$END OMP PARALLEL |
---|
713 | |
---|
714 | ELSE |
---|
715 | |
---|
716 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
717 | !$OMP DO |
---|
718 | DO k = nzb_x, nzt_x |
---|
719 | DO j = nys_x, nyn_x |
---|
720 | |
---|
721 | DO i = 0, (nx+1)/2 |
---|
722 | work(2*i) = ar(i,j,k) |
---|
723 | ENDDO |
---|
724 | DO i = 1, (nx+1)/2 - 1 |
---|
725 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
726 | ENDDO |
---|
727 | work(1) = 0.0_wp |
---|
728 | work(nx+2) = 0.0_wp |
---|
729 | |
---|
730 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
731 | |
---|
732 | ar(0:nx,j,k) = work(0:nx) |
---|
733 | |
---|
734 | ENDDO |
---|
735 | ENDDO |
---|
736 | !$OMP END PARALLEL |
---|
737 | |
---|
738 | ENDIF |
---|
739 | |
---|
740 | #elif defined( __cuda_fft ) |
---|
741 | |
---|
742 | !$acc data create( ar_tmp ) |
---|
743 | IF ( forward_fft ) THEN |
---|
744 | |
---|
745 | !$acc data present( ar ) |
---|
746 | CALL CUFFTEXECD2Z( plan_xf, ar, ar_tmp ) |
---|
747 | |
---|
748 | !$acc kernels |
---|
749 | DO k = nzb_x, nzt_x |
---|
750 | DO j = nys_x, nyn_x |
---|
751 | |
---|
752 | DO i = 0, (nx+1)/2 |
---|
753 | ar(i,j,k) = REAL( ar_tmp(i,j,k), KIND=wp ) * dnx |
---|
754 | ENDDO |
---|
755 | |
---|
756 | DO i = 1, (nx+1)/2 - 1 |
---|
757 | ar(nx+1-i,j,k) = AIMAG( ar_tmp(i,j,k) ) * dnx |
---|
758 | ENDDO |
---|
759 | |
---|
760 | ENDDO |
---|
761 | ENDDO |
---|
762 | !$acc end kernels |
---|
763 | !$acc end data |
---|
764 | |
---|
765 | ELSE |
---|
766 | |
---|
767 | !$acc data present( ar ) |
---|
768 | !$acc kernels |
---|
769 | DO k = nzb_x, nzt_x |
---|
770 | DO j = nys_x, nyn_x |
---|
771 | |
---|
772 | ar_tmp(0,j,k) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
773 | |
---|
774 | DO i = 1, (nx+1)/2 - 1 |
---|
775 | ar_tmp(i,j,k) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
---|
776 | KIND=wp ) |
---|
777 | ENDDO |
---|
778 | ar_tmp((nx+1)/2,j,k) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
779 | KIND=wp ) |
---|
780 | |
---|
781 | ENDDO |
---|
782 | ENDDO |
---|
783 | !$acc end kernels |
---|
784 | |
---|
785 | CALL CUFFTEXECZ2D( plan_xi, ar_tmp, ar ) |
---|
786 | !$acc end data |
---|
787 | |
---|
788 | ENDIF |
---|
789 | !$acc end data |
---|
790 | |
---|
791 | #else |
---|
792 | message_string = 'no system-specific fft-call available' |
---|
793 | CALL message( 'fft_x', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
794 | #endif |
---|
795 | |
---|
796 | ELSE |
---|
797 | |
---|
798 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
799 | '" not available' |
---|
800 | CALL message( 'fft_x', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
801 | |
---|
802 | ENDIF |
---|
803 | |
---|
804 | END SUBROUTINE fft_x |
---|
805 | |
---|
806 | !------------------------------------------------------------------------------! |
---|
807 | ! Description: |
---|
808 | ! ------------ |
---|
809 | !> Fourier-transformation along x-direction. |
---|
810 | !> Version for 1D-decomposition. |
---|
811 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
812 | !> system-specific routines, if they are available |
---|
813 | !------------------------------------------------------------------------------! |
---|
814 | |
---|
815 | SUBROUTINE fft_x_1d( ar, direction ) |
---|
816 | |
---|
817 | |
---|
818 | IMPLICIT NONE |
---|
819 | |
---|
820 | CHARACTER (LEN=*) :: direction !< |
---|
821 | |
---|
822 | INTEGER(iwp) :: i !< |
---|
823 | INTEGER(iwp) :: ishape(1) !< |
---|
824 | |
---|
825 | LOGICAL :: forward_fft !< |
---|
826 | |
---|
827 | REAL(wp), DIMENSION(0:nx) :: ar !< |
---|
828 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
---|
829 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
---|
830 | |
---|
831 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
832 | |
---|
833 | #if defined( __ibm ) |
---|
834 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
835 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
836 | #elif defined( __nec ) |
---|
837 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
838 | #endif |
---|
839 | |
---|
840 | IF ( direction == 'forward' ) THEN |
---|
841 | forward_fft = .TRUE. |
---|
842 | ELSE |
---|
843 | forward_fft = .FALSE. |
---|
844 | ENDIF |
---|
845 | |
---|
846 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
847 | |
---|
848 | ! |
---|
849 | !-- Performing the fft with singleton's software works on every system, |
---|
850 | !-- since it is part of the model |
---|
851 | ALLOCATE( cwork(0:nx) ) |
---|
852 | |
---|
853 | IF ( forward_fft ) then |
---|
854 | |
---|
855 | DO i = 0, nx |
---|
856 | cwork(i) = CMPLX( ar(i), KIND=wp ) |
---|
857 | ENDDO |
---|
858 | ishape = SHAPE( cwork ) |
---|
859 | CALL FFTN( cwork, ishape ) |
---|
860 | DO i = 0, (nx+1)/2 |
---|
861 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
862 | ENDDO |
---|
863 | DO i = 1, (nx+1)/2 - 1 |
---|
864 | ar(nx+1-i) = -AIMAG( cwork(i) ) |
---|
865 | ENDDO |
---|
866 | |
---|
867 | ELSE |
---|
868 | |
---|
869 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
870 | DO i = 1, (nx+1)/2 - 1 |
---|
871 | cwork(i) = CMPLX( ar(i), -ar(nx+1-i), KIND=wp ) |
---|
872 | cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
873 | ENDDO |
---|
874 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
875 | |
---|
876 | ishape = SHAPE( cwork ) |
---|
877 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
878 | |
---|
879 | DO i = 0, nx |
---|
880 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
881 | ENDDO |
---|
882 | |
---|
883 | ENDIF |
---|
884 | |
---|
885 | DEALLOCATE( cwork ) |
---|
886 | |
---|
887 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
888 | |
---|
889 | ! |
---|
890 | !-- Performing the fft with Temperton's software works on every system, |
---|
891 | !-- since it is part of the model |
---|
892 | IF ( forward_fft ) THEN |
---|
893 | |
---|
894 | work(0:nx) = ar |
---|
895 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
896 | |
---|
897 | DO i = 0, (nx+1)/2 |
---|
898 | ar(i) = work(2*i) |
---|
899 | ENDDO |
---|
900 | DO i = 1, (nx+1)/2 - 1 |
---|
901 | ar(nx+1-i) = work(2*i+1) |
---|
902 | ENDDO |
---|
903 | |
---|
904 | ELSE |
---|
905 | |
---|
906 | DO i = 0, (nx+1)/2 |
---|
907 | work(2*i) = ar(i) |
---|
908 | ENDDO |
---|
909 | DO i = 1, (nx+1)/2 - 1 |
---|
910 | work(2*i+1) = ar(nx+1-i) |
---|
911 | ENDDO |
---|
912 | work(1) = 0.0_wp |
---|
913 | work(nx+2) = 0.0_wp |
---|
914 | |
---|
915 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
916 | ar = work(0:nx) |
---|
917 | |
---|
918 | ENDIF |
---|
919 | |
---|
920 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
921 | |
---|
922 | #if defined( __fftw ) |
---|
923 | IF ( forward_fft ) THEN |
---|
924 | |
---|
925 | x_in(0:nx) = ar(0:nx) |
---|
926 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
927 | |
---|
928 | DO i = 0, (nx+1)/2 |
---|
929 | ar(i) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
930 | ENDDO |
---|
931 | DO i = 1, (nx+1)/2 - 1 |
---|
932 | ar(nx+1-i) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
933 | ENDDO |
---|
934 | |
---|
935 | ELSE |
---|
936 | |
---|
937 | x_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
938 | DO i = 1, (nx+1)/2 - 1 |
---|
939 | x_out(i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
940 | ENDDO |
---|
941 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
942 | |
---|
943 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
944 | ar(0:nx) = x_in(0:nx) |
---|
945 | |
---|
946 | ENDIF |
---|
947 | #endif |
---|
948 | |
---|
949 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
950 | |
---|
951 | #if defined( __ibm ) |
---|
952 | IF ( forward_fft ) THEN |
---|
953 | |
---|
954 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
955 | aux2, nau2 ) |
---|
956 | |
---|
957 | DO i = 0, (nx+1)/2 |
---|
958 | ar(i) = work(2*i) |
---|
959 | ENDDO |
---|
960 | DO i = 1, (nx+1)/2 - 1 |
---|
961 | ar(nx+1-i) = work(2*i+1) |
---|
962 | ENDDO |
---|
963 | |
---|
964 | ELSE |
---|
965 | |
---|
966 | DO i = 0, (nx+1)/2 |
---|
967 | work(2*i) = ar(i) |
---|
968 | ENDDO |
---|
969 | DO i = 1, (nx+1)/2 - 1 |
---|
970 | work(2*i+1) = ar(nx+1-i) |
---|
971 | ENDDO |
---|
972 | work(1) = 0.0_wp |
---|
973 | work(nx+2) = 0.0_wp |
---|
974 | |
---|
975 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
976 | aux4, nau2 ) |
---|
977 | |
---|
978 | DO i = 0, nx |
---|
979 | ar(i) = work(i) |
---|
980 | ENDDO |
---|
981 | |
---|
982 | ENDIF |
---|
983 | #elif defined( __nec ) |
---|
984 | IF ( forward_fft ) THEN |
---|
985 | |
---|
986 | work(0:nx) = ar(0:nx) |
---|
987 | |
---|
988 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
989 | |
---|
990 | DO i = 0, (nx+1)/2 |
---|
991 | ar(i) = work(2*i) |
---|
992 | ENDDO |
---|
993 | DO i = 1, (nx+1)/2 - 1 |
---|
994 | ar(nx+1-i) = work(2*i+1) |
---|
995 | ENDDO |
---|
996 | |
---|
997 | ELSE |
---|
998 | |
---|
999 | DO i = 0, (nx+1)/2 |
---|
1000 | work(2*i) = ar(i) |
---|
1001 | ENDDO |
---|
1002 | DO i = 1, (nx+1)/2 - 1 |
---|
1003 | work(2*i+1) = ar(nx+1-i) |
---|
1004 | ENDDO |
---|
1005 | work(1) = 0.0_wp |
---|
1006 | work(nx+2) = 0.0_wp |
---|
1007 | |
---|
1008 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
1009 | |
---|
1010 | ar(0:nx) = work(0:nx) |
---|
1011 | |
---|
1012 | ENDIF |
---|
1013 | #else |
---|
1014 | message_string = 'no system-specific fft-call available' |
---|
1015 | CALL message( 'fft_x_1d', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1016 | #endif |
---|
1017 | ELSE |
---|
1018 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1019 | '" not available' |
---|
1020 | CALL message( 'fft_x_1d', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1021 | |
---|
1022 | ENDIF |
---|
1023 | |
---|
1024 | END SUBROUTINE fft_x_1d |
---|
1025 | |
---|
1026 | !------------------------------------------------------------------------------! |
---|
1027 | ! Description: |
---|
1028 | ! ------------ |
---|
1029 | !> Fourier-transformation along y-direction. |
---|
1030 | !> Version for 2D-decomposition. |
---|
1031 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
1032 | !> system-specific routines, if they are available. |
---|
1033 | !> |
---|
1034 | !> direction: 'forward' or 'backward' |
---|
1035 | !> ar, ar_tr: 3D data arrays |
---|
1036 | !> forward: ar: before ar_tr: after transformation |
---|
1037 | !> backward: ar_tr: before ar: after transfosition |
---|
1038 | !> |
---|
1039 | !> In case of non-overlapping transposition/transformation: |
---|
1040 | !> nxl_y_bound = nxl_y_l = nxl_y |
---|
1041 | !> nxr_y_bound = nxr_y_l = nxr_y |
---|
1042 | !> |
---|
1043 | !> In case of overlapping transposition/transformation |
---|
1044 | !> - nxl_y_bound and nxr_y_bound have the original values of |
---|
1045 | !> nxl_y, nxr_y. ar_tr is dimensioned using these values. |
---|
1046 | !> - nxl_y_l = nxr_y_r. ar is dimensioned with these values, so that |
---|
1047 | !> transformation is carried out for a 2D-plane only. |
---|
1048 | !------------------------------------------------------------------------------! |
---|
1049 | |
---|
1050 | SUBROUTINE fft_y( ar, direction, ar_tr, nxl_y_bound, nxr_y_bound, nxl_y_l, & |
---|
1051 | nxr_y_l ) |
---|
1052 | |
---|
1053 | |
---|
1054 | USE cuda_fft_interfaces |
---|
1055 | #if defined( __cuda_fft ) |
---|
1056 | USE ISO_C_BINDING |
---|
1057 | #endif |
---|
1058 | |
---|
1059 | IMPLICIT NONE |
---|
1060 | |
---|
1061 | CHARACTER (LEN=*) :: direction !< |
---|
1062 | |
---|
1063 | INTEGER(iwp) :: i !< |
---|
1064 | INTEGER(iwp) :: j !< |
---|
1065 | INTEGER(iwp) :: jshape(1) !< |
---|
1066 | INTEGER(iwp) :: k !< |
---|
1067 | INTEGER(iwp) :: nxl_y_bound !< |
---|
1068 | INTEGER(iwp) :: nxl_y_l !< |
---|
1069 | INTEGER(iwp) :: nxr_y_bound !< |
---|
1070 | INTEGER(iwp) :: nxr_y_l !< |
---|
1071 | |
---|
1072 | LOGICAL :: forward_fft !< |
---|
1073 | |
---|
1074 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
1075 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
1076 | |
---|
1077 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
1078 | |
---|
1079 | #if defined( __ibm ) |
---|
1080 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
1081 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
1082 | #elif defined( __nec ) |
---|
1083 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
1084 | #elif defined( __cuda_fft ) |
---|
1085 | COMPLEX(dp), DIMENSION(0:(ny+1)/2,nxl_y:nxr_y,nzb_y:nzt_y) :: & |
---|
1086 | ar_tmp !< |
---|
1087 | ! following does not work for PGI 14.1 -> to be removed later |
---|
1088 | ! !$acc declare create( ar_tmp ) |
---|
1089 | #endif |
---|
1090 | |
---|
1091 | REAL(wp), DIMENSION(0:ny,nxl_y_l:nxr_y_l,nzb_y:nzt_y) :: & |
---|
1092 | ar !< |
---|
1093 | REAL(wp), DIMENSION(0:ny,nxl_y_bound:nxr_y_bound,nzb_y:nzt_y) :: & |
---|
1094 | ar_tr !< |
---|
1095 | |
---|
1096 | IF ( direction == 'forward' ) THEN |
---|
1097 | forward_fft = .TRUE. |
---|
1098 | ELSE |
---|
1099 | forward_fft = .FALSE. |
---|
1100 | ENDIF |
---|
1101 | |
---|
1102 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
1103 | |
---|
1104 | ! |
---|
1105 | !-- Performing the fft with singleton's software works on every system, |
---|
1106 | !-- since it is part of the model |
---|
1107 | ALLOCATE( cwork(0:ny) ) |
---|
1108 | |
---|
1109 | IF ( forward_fft ) then |
---|
1110 | |
---|
1111 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
1112 | !$OMP DO |
---|
1113 | DO k = nzb_y, nzt_y |
---|
1114 | DO i = nxl_y_l, nxr_y_l |
---|
1115 | |
---|
1116 | DO j = 0, ny |
---|
1117 | cwork(j) = CMPLX( ar(j,i,k), KIND=wp ) |
---|
1118 | ENDDO |
---|
1119 | |
---|
1120 | jshape = SHAPE( cwork ) |
---|
1121 | CALL FFTN( cwork, jshape ) |
---|
1122 | |
---|
1123 | DO j = 0, (ny+1)/2 |
---|
1124 | ar_tr(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
1125 | ENDDO |
---|
1126 | DO j = 1, (ny+1)/2 - 1 |
---|
1127 | ar_tr(ny+1-j,i,k) = -AIMAG( cwork(j) ) |
---|
1128 | ENDDO |
---|
1129 | |
---|
1130 | ENDDO |
---|
1131 | ENDDO |
---|
1132 | !$OMP END PARALLEL |
---|
1133 | |
---|
1134 | ELSE |
---|
1135 | |
---|
1136 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
1137 | !$OMP DO |
---|
1138 | DO k = nzb_y, nzt_y |
---|
1139 | DO i = nxl_y_l, nxr_y_l |
---|
1140 | |
---|
1141 | cwork(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
1142 | DO j = 1, (ny+1)/2 - 1 |
---|
1143 | cwork(j) = CMPLX( ar_tr(j,i,k), -ar_tr(ny+1-j,i,k), & |
---|
1144 | KIND=wp ) |
---|
1145 | cwork(ny+1-j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
1146 | KIND=wp ) |
---|
1147 | ENDDO |
---|
1148 | cwork((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
1149 | KIND=wp ) |
---|
1150 | |
---|
1151 | jshape = SHAPE( cwork ) |
---|
1152 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
1153 | |
---|
1154 | DO j = 0, ny |
---|
1155 | ar(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
1156 | ENDDO |
---|
1157 | |
---|
1158 | ENDDO |
---|
1159 | ENDDO |
---|
1160 | !$OMP END PARALLEL |
---|
1161 | |
---|
1162 | ENDIF |
---|
1163 | |
---|
1164 | DEALLOCATE( cwork ) |
---|
1165 | |
---|
1166 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1167 | |
---|
1168 | ! |
---|
1169 | !-- Performing the fft with Temperton's software works on every system, |
---|
1170 | !-- since it is part of the model |
---|
1171 | IF ( forward_fft ) THEN |
---|
1172 | |
---|
1173 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
1174 | !$OMP DO |
---|
1175 | DO k = nzb_y, nzt_y |
---|
1176 | DO i = nxl_y_l, nxr_y_l |
---|
1177 | |
---|
1178 | work(0:ny) = ar(0:ny,i,k) |
---|
1179 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
1180 | |
---|
1181 | DO j = 0, (ny+1)/2 |
---|
1182 | ar_tr(j,i,k) = work(2*j) |
---|
1183 | ENDDO |
---|
1184 | DO j = 1, (ny+1)/2 - 1 |
---|
1185 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1186 | ENDDO |
---|
1187 | |
---|
1188 | ENDDO |
---|
1189 | ENDDO |
---|
1190 | !$OMP END PARALLEL |
---|
1191 | |
---|
1192 | ELSE |
---|
1193 | |
---|
1194 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
1195 | !$OMP DO |
---|
1196 | DO k = nzb_y, nzt_y |
---|
1197 | DO i = nxl_y_l, nxr_y_l |
---|
1198 | |
---|
1199 | DO j = 0, (ny+1)/2 |
---|
1200 | work(2*j) = ar_tr(j,i,k) |
---|
1201 | ENDDO |
---|
1202 | DO j = 1, (ny+1)/2 - 1 |
---|
1203 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1204 | ENDDO |
---|
1205 | work(1) = 0.0_wp |
---|
1206 | work(ny+2) = 0.0_wp |
---|
1207 | |
---|
1208 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
1209 | ar(0:ny,i,k) = work(0:ny) |
---|
1210 | |
---|
1211 | ENDDO |
---|
1212 | ENDDO |
---|
1213 | !$OMP END PARALLEL |
---|
1214 | |
---|
1215 | ENDIF |
---|
1216 | |
---|
1217 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
1218 | |
---|
1219 | #if defined( __fftw ) |
---|
1220 | IF ( forward_fft ) THEN |
---|
1221 | |
---|
1222 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1223 | !$OMP DO |
---|
1224 | DO k = nzb_y, nzt_y |
---|
1225 | DO i = nxl_y_l, nxr_y_l |
---|
1226 | |
---|
1227 | y_in(0:ny) = ar(0:ny,i,k) |
---|
1228 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
1229 | |
---|
1230 | DO j = 0, (ny+1)/2 |
---|
1231 | ar_tr(j,i,k) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
1232 | ENDDO |
---|
1233 | DO j = 1, (ny+1)/2 - 1 |
---|
1234 | ar_tr(ny+1-j,i,k) = AIMAG( y_out(j) ) / (ny+1) |
---|
1235 | ENDDO |
---|
1236 | |
---|
1237 | ENDDO |
---|
1238 | ENDDO |
---|
1239 | !$OMP END PARALLEL |
---|
1240 | |
---|
1241 | ELSE |
---|
1242 | |
---|
1243 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1244 | !$OMP DO |
---|
1245 | DO k = nzb_y, nzt_y |
---|
1246 | DO i = nxl_y_l, nxr_y_l |
---|
1247 | |
---|
1248 | y_out(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
1249 | DO j = 1, (ny+1)/2 - 1 |
---|
1250 | y_out(j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
1251 | KIND=wp ) |
---|
1252 | ENDDO |
---|
1253 | y_out((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
1254 | KIND=wp ) |
---|
1255 | |
---|
1256 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
1257 | ar(0:ny,i,k) = y_in(0:ny) |
---|
1258 | |
---|
1259 | ENDDO |
---|
1260 | ENDDO |
---|
1261 | !$OMP END PARALLEL |
---|
1262 | |
---|
1263 | ENDIF |
---|
1264 | #endif |
---|
1265 | |
---|
1266 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1267 | |
---|
1268 | #if defined( __ibm ) |
---|
1269 | IF ( forward_fft) THEN |
---|
1270 | |
---|
1271 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1272 | !$OMP DO |
---|
1273 | DO k = nzb_y, nzt_y |
---|
1274 | DO i = nxl_y_l, nxr_y_l |
---|
1275 | |
---|
1276 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, & |
---|
1277 | nau1, auy2, nau2 ) |
---|
1278 | |
---|
1279 | DO j = 0, (ny+1)/2 |
---|
1280 | ar_tr(j,i,k) = work(2*j) |
---|
1281 | ENDDO |
---|
1282 | DO j = 1, (ny+1)/2 - 1 |
---|
1283 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1284 | ENDDO |
---|
1285 | |
---|
1286 | ENDDO |
---|
1287 | ENDDO |
---|
1288 | !$OMP END PARALLEL |
---|
1289 | |
---|
1290 | ELSE |
---|
1291 | |
---|
1292 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1293 | !$OMP DO |
---|
1294 | DO k = nzb_y, nzt_y |
---|
1295 | DO i = nxl_y_l, nxr_y_l |
---|
1296 | |
---|
1297 | DO j = 0, (ny+1)/2 |
---|
1298 | work(2*j) = ar_tr(j,i,k) |
---|
1299 | ENDDO |
---|
1300 | DO j = 1, (ny+1)/2 - 1 |
---|
1301 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1302 | ENDDO |
---|
1303 | work(1) = 0.0_wp |
---|
1304 | work(ny+2) = 0.0_wp |
---|
1305 | |
---|
1306 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, & |
---|
1307 | auy3, nau1, auy4, nau2 ) |
---|
1308 | |
---|
1309 | DO j = 0, ny |
---|
1310 | ar(j,i,k) = work(j) |
---|
1311 | ENDDO |
---|
1312 | |
---|
1313 | ENDDO |
---|
1314 | ENDDO |
---|
1315 | !$OMP END PARALLEL |
---|
1316 | |
---|
1317 | ENDIF |
---|
1318 | #elif defined( __nec ) |
---|
1319 | IF ( forward_fft ) THEN |
---|
1320 | |
---|
1321 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1322 | !$OMP DO |
---|
1323 | DO k = nzb_y, nzt_y |
---|
1324 | DO i = nxl_y_l, nxr_y_l |
---|
1325 | |
---|
1326 | work(0:ny) = ar(0:ny,i,k) |
---|
1327 | |
---|
1328 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
1329 | |
---|
1330 | DO j = 0, (ny+1)/2 |
---|
1331 | ar_tr(j,i,k) = work(2*j) |
---|
1332 | ENDDO |
---|
1333 | DO j = 1, (ny+1)/2 - 1 |
---|
1334 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
1335 | ENDDO |
---|
1336 | |
---|
1337 | ENDDO |
---|
1338 | ENDDO |
---|
1339 | !$END OMP PARALLEL |
---|
1340 | |
---|
1341 | ELSE |
---|
1342 | |
---|
1343 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
1344 | !$OMP DO |
---|
1345 | DO k = nzb_y, nzt_y |
---|
1346 | DO i = nxl_y_l, nxr_y_l |
---|
1347 | |
---|
1348 | DO j = 0, (ny+1)/2 |
---|
1349 | work(2*j) = ar_tr(j,i,k) |
---|
1350 | ENDDO |
---|
1351 | DO j = 1, (ny+1)/2 - 1 |
---|
1352 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
1353 | ENDDO |
---|
1354 | work(1) = 0.0_wp |
---|
1355 | work(ny+2) = 0.0_wp |
---|
1356 | |
---|
1357 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
1358 | |
---|
1359 | ar(0:ny,i,k) = work(0:ny) |
---|
1360 | |
---|
1361 | ENDDO |
---|
1362 | ENDDO |
---|
1363 | !$OMP END PARALLEL |
---|
1364 | |
---|
1365 | ENDIF |
---|
1366 | #elif defined( __cuda_fft ) |
---|
1367 | |
---|
1368 | !$acc data create( ar_tmp ) |
---|
1369 | IF ( forward_fft ) THEN |
---|
1370 | |
---|
1371 | !$acc data present( ar ) |
---|
1372 | CALL CUFFTEXECD2Z( plan_yf, ar, ar_tmp ) |
---|
1373 | |
---|
1374 | !$acc kernels |
---|
1375 | DO k = nzb_y, nzt_y |
---|
1376 | DO i = nxl_y, nxr_y |
---|
1377 | |
---|
1378 | DO j = 0, (ny+1)/2 |
---|
1379 | ar(j,i,k) = REAL( ar_tmp(j,i,k), KIND=wp ) * dny |
---|
1380 | ENDDO |
---|
1381 | |
---|
1382 | DO j = 1, (ny+1)/2 - 1 |
---|
1383 | ar(ny+1-j,i,k) = AIMAG( ar_tmp(j,i,k) ) * dny |
---|
1384 | ENDDO |
---|
1385 | |
---|
1386 | ENDDO |
---|
1387 | ENDDO |
---|
1388 | !$acc end kernels |
---|
1389 | !$acc end data |
---|
1390 | |
---|
1391 | ELSE |
---|
1392 | |
---|
1393 | !$acc data present( ar ) |
---|
1394 | !$acc kernels |
---|
1395 | DO k = nzb_y, nzt_y |
---|
1396 | DO i = nxl_y, nxr_y |
---|
1397 | |
---|
1398 | ar_tmp(0,i,k) = CMPLX( ar(0,i,k), 0.0_wp, KIND=wp ) |
---|
1399 | |
---|
1400 | DO j = 1, (ny+1)/2 - 1 |
---|
1401 | ar_tmp(j,i,k) = CMPLX( ar(j,i,k), ar(ny+1-j,i,k), & |
---|
1402 | KIND=wp ) |
---|
1403 | ENDDO |
---|
1404 | ar_tmp((ny+1)/2,i,k) = CMPLX( ar((ny+1)/2,i,k), 0.0_wp, & |
---|
1405 | KIND=wp ) |
---|
1406 | |
---|
1407 | ENDDO |
---|
1408 | ENDDO |
---|
1409 | !$acc end kernels |
---|
1410 | |
---|
1411 | CALL CUFFTEXECZ2D( plan_yi, ar_tmp, ar ) |
---|
1412 | !$acc end data |
---|
1413 | |
---|
1414 | ENDIF |
---|
1415 | !$acc end data |
---|
1416 | |
---|
1417 | #else |
---|
1418 | message_string = 'no system-specific fft-call available' |
---|
1419 | CALL message( 'fft_y', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1420 | #endif |
---|
1421 | |
---|
1422 | ELSE |
---|
1423 | |
---|
1424 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1425 | '" not available' |
---|
1426 | CALL message( 'fft_y', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1427 | |
---|
1428 | ENDIF |
---|
1429 | |
---|
1430 | END SUBROUTINE fft_y |
---|
1431 | |
---|
1432 | !------------------------------------------------------------------------------! |
---|
1433 | ! Description: |
---|
1434 | ! ------------ |
---|
1435 | !> Fourier-transformation along y-direction. |
---|
1436 | !> Version for 1D-decomposition. |
---|
1437 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
1438 | !> system-specific routines, if they are available. |
---|
1439 | !------------------------------------------------------------------------------! |
---|
1440 | |
---|
1441 | SUBROUTINE fft_y_1d( ar, direction ) |
---|
1442 | |
---|
1443 | |
---|
1444 | IMPLICIT NONE |
---|
1445 | |
---|
1446 | CHARACTER (LEN=*) :: direction |
---|
1447 | |
---|
1448 | INTEGER(iwp) :: j !< |
---|
1449 | INTEGER(iwp) :: jshape(1) !< |
---|
1450 | |
---|
1451 | LOGICAL :: forward_fft !< |
---|
1452 | |
---|
1453 | REAL(wp), DIMENSION(0:ny) :: ar !< |
---|
1454 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
1455 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
1456 | |
---|
1457 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
1458 | |
---|
1459 | #if defined( __ibm ) |
---|
1460 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
1461 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
1462 | #elif defined( __nec ) |
---|
1463 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
1464 | #endif |
---|
1465 | |
---|
1466 | IF ( direction == 'forward' ) THEN |
---|
1467 | forward_fft = .TRUE. |
---|
1468 | ELSE |
---|
1469 | forward_fft = .FALSE. |
---|
1470 | ENDIF |
---|
1471 | |
---|
1472 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
1473 | |
---|
1474 | ! |
---|
1475 | !-- Performing the fft with singleton's software works on every system, |
---|
1476 | !-- since it is part of the model |
---|
1477 | ALLOCATE( cwork(0:ny) ) |
---|
1478 | |
---|
1479 | IF ( forward_fft ) THEN |
---|
1480 | |
---|
1481 | DO j = 0, ny |
---|
1482 | cwork(j) = CMPLX( ar(j), KIND=wp ) |
---|
1483 | ENDDO |
---|
1484 | |
---|
1485 | jshape = SHAPE( cwork ) |
---|
1486 | CALL FFTN( cwork, jshape ) |
---|
1487 | |
---|
1488 | DO j = 0, (ny+1)/2 |
---|
1489 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
1490 | ENDDO |
---|
1491 | DO j = 1, (ny+1)/2 - 1 |
---|
1492 | ar(ny+1-j) = -AIMAG( cwork(j) ) |
---|
1493 | ENDDO |
---|
1494 | |
---|
1495 | ELSE |
---|
1496 | |
---|
1497 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
1498 | DO j = 1, (ny+1)/2 - 1 |
---|
1499 | cwork(j) = CMPLX( ar(j), -ar(ny+1-j), KIND=wp ) |
---|
1500 | cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
1501 | ENDDO |
---|
1502 | cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
1503 | |
---|
1504 | jshape = SHAPE( cwork ) |
---|
1505 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
1506 | |
---|
1507 | DO j = 0, ny |
---|
1508 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
1509 | ENDDO |
---|
1510 | |
---|
1511 | ENDIF |
---|
1512 | |
---|
1513 | DEALLOCATE( cwork ) |
---|
1514 | |
---|
1515 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1516 | |
---|
1517 | ! |
---|
1518 | !-- Performing the fft with Temperton's software works on every system, |
---|
1519 | !-- since it is part of the model |
---|
1520 | IF ( forward_fft ) THEN |
---|
1521 | |
---|
1522 | work(0:ny) = ar |
---|
1523 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
1524 | |
---|
1525 | DO j = 0, (ny+1)/2 |
---|
1526 | ar(j) = work(2*j) |
---|
1527 | ENDDO |
---|
1528 | DO j = 1, (ny+1)/2 - 1 |
---|
1529 | ar(ny+1-j) = work(2*j+1) |
---|
1530 | ENDDO |
---|
1531 | |
---|
1532 | ELSE |
---|
1533 | |
---|
1534 | DO j = 0, (ny+1)/2 |
---|
1535 | work(2*j) = ar(j) |
---|
1536 | ENDDO |
---|
1537 | DO j = 1, (ny+1)/2 - 1 |
---|
1538 | work(2*j+1) = ar(ny+1-j) |
---|
1539 | ENDDO |
---|
1540 | work(1) = 0.0_wp |
---|
1541 | work(ny+2) = 0.0_wp |
---|
1542 | |
---|
1543 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
1544 | ar = work(0:ny) |
---|
1545 | |
---|
1546 | ENDIF |
---|
1547 | |
---|
1548 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
1549 | |
---|
1550 | #if defined( __fftw ) |
---|
1551 | IF ( forward_fft ) THEN |
---|
1552 | |
---|
1553 | y_in(0:ny) = ar(0:ny) |
---|
1554 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
1555 | |
---|
1556 | DO j = 0, (ny+1)/2 |
---|
1557 | ar(j) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
1558 | ENDDO |
---|
1559 | DO j = 1, (ny+1)/2 - 1 |
---|
1560 | ar(ny+1-j) = AIMAG( y_out(j) ) / (ny+1) |
---|
1561 | ENDDO |
---|
1562 | |
---|
1563 | ELSE |
---|
1564 | |
---|
1565 | y_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
1566 | DO j = 1, (ny+1)/2 - 1 |
---|
1567 | y_out(j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
1568 | ENDDO |
---|
1569 | y_out((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
1570 | |
---|
1571 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
1572 | ar(0:ny) = y_in(0:ny) |
---|
1573 | |
---|
1574 | ENDIF |
---|
1575 | #endif |
---|
1576 | |
---|
1577 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1578 | |
---|
1579 | #if defined( __ibm ) |
---|
1580 | IF ( forward_fft ) THEN |
---|
1581 | |
---|
1582 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
1583 | auy2, nau2 ) |
---|
1584 | |
---|
1585 | DO j = 0, (ny+1)/2 |
---|
1586 | ar(j) = work(2*j) |
---|
1587 | ENDDO |
---|
1588 | DO j = 1, (ny+1)/2 - 1 |
---|
1589 | ar(ny+1-j) = work(2*j+1) |
---|
1590 | ENDDO |
---|
1591 | |
---|
1592 | ELSE |
---|
1593 | |
---|
1594 | DO j = 0, (ny+1)/2 |
---|
1595 | work(2*j) = ar(j) |
---|
1596 | ENDDO |
---|
1597 | DO j = 1, (ny+1)/2 - 1 |
---|
1598 | work(2*j+1) = ar(ny+1-j) |
---|
1599 | ENDDO |
---|
1600 | work(1) = 0.0_wp |
---|
1601 | work(ny+2) = 0.0_wp |
---|
1602 | |
---|
1603 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, auy3, & |
---|
1604 | nau1, auy4, nau2 ) |
---|
1605 | |
---|
1606 | DO j = 0, ny |
---|
1607 | ar(j) = work(j) |
---|
1608 | ENDDO |
---|
1609 | |
---|
1610 | ENDIF |
---|
1611 | #elif defined( __nec ) |
---|
1612 | IF ( forward_fft ) THEN |
---|
1613 | |
---|
1614 | work(0:ny) = ar(0:ny) |
---|
1615 | |
---|
1616 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
1617 | |
---|
1618 | DO j = 0, (ny+1)/2 |
---|
1619 | ar(j) = work(2*j) |
---|
1620 | ENDDO |
---|
1621 | DO j = 1, (ny+1)/2 - 1 |
---|
1622 | ar(ny+1-j) = work(2*j+1) |
---|
1623 | ENDDO |
---|
1624 | |
---|
1625 | ELSE |
---|
1626 | |
---|
1627 | DO j = 0, (ny+1)/2 |
---|
1628 | work(2*j) = ar(j) |
---|
1629 | ENDDO |
---|
1630 | DO j = 1, (ny+1)/2 - 1 |
---|
1631 | work(2*j+1) = ar(ny+1-j) |
---|
1632 | ENDDO |
---|
1633 | work(1) = 0.0_wp |
---|
1634 | work(ny+2) = 0.0_wp |
---|
1635 | |
---|
1636 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
1637 | |
---|
1638 | ar(0:ny) = work(0:ny) |
---|
1639 | |
---|
1640 | ENDIF |
---|
1641 | #else |
---|
1642 | message_string = 'no system-specific fft-call available' |
---|
1643 | CALL message( 'fft_y_1d', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1644 | |
---|
1645 | #endif |
---|
1646 | |
---|
1647 | ELSE |
---|
1648 | |
---|
1649 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1650 | '" not available' |
---|
1651 | CALL message( 'fft_y_1d', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1652 | |
---|
1653 | ENDIF |
---|
1654 | |
---|
1655 | END SUBROUTINE fft_y_1d |
---|
1656 | |
---|
1657 | !------------------------------------------------------------------------------! |
---|
1658 | ! Description: |
---|
1659 | ! ------------ |
---|
1660 | !> Fourier-transformation along x-direction. |
---|
1661 | !> Version for 1d domain decomposition |
---|
1662 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
1663 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
1664 | !------------------------------------------------------------------------------! |
---|
1665 | |
---|
1666 | SUBROUTINE fft_x_m( ar, direction ) |
---|
1667 | |
---|
1668 | |
---|
1669 | IMPLICIT NONE |
---|
1670 | |
---|
1671 | CHARACTER (LEN=*) :: direction !< |
---|
1672 | |
---|
1673 | INTEGER(iwp) :: i !< |
---|
1674 | INTEGER(iwp) :: k !< |
---|
1675 | INTEGER(iwp) :: siza !< |
---|
1676 | |
---|
1677 | REAL(wp), DIMENSION(0:nx,nz) :: ar !< |
---|
1678 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: ai !< |
---|
1679 | REAL(wp), DIMENSION(6*(nx+4),nz+1) :: work1 !< |
---|
1680 | |
---|
1681 | #if defined( __nec ) |
---|
1682 | INTEGER(iwp) :: sizw !< |
---|
1683 | |
---|
1684 | COMPLEX(wp), DIMENSION((nx+4)/2+1,nz+1) :: work !< |
---|
1685 | #endif |
---|
1686 | |
---|
1687 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1688 | |
---|
1689 | siza = SIZE( ai, 1 ) |
---|
1690 | |
---|
1691 | IF ( direction == 'forward') THEN |
---|
1692 | |
---|
1693 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
1694 | ai(nx+1:,:) = 0.0_wp |
---|
1695 | |
---|
1696 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 ) |
---|
1697 | |
---|
1698 | DO k = 1, nz |
---|
1699 | DO i = 0, (nx+1)/2 |
---|
1700 | ar(i,k) = ai(2*i,k) |
---|
1701 | ENDDO |
---|
1702 | DO i = 1, (nx+1)/2 - 1 |
---|
1703 | ar(nx+1-i,k) = ai(2*i+1,k) |
---|
1704 | ENDDO |
---|
1705 | ENDDO |
---|
1706 | |
---|
1707 | ELSE |
---|
1708 | |
---|
1709 | DO k = 1, nz |
---|
1710 | DO i = 0, (nx+1)/2 |
---|
1711 | ai(2*i,k) = ar(i,k) |
---|
1712 | ENDDO |
---|
1713 | DO i = 1, (nx+1)/2 - 1 |
---|
1714 | ai(2*i+1,k) = ar(nx+1-i,k) |
---|
1715 | ENDDO |
---|
1716 | ai(1,k) = 0.0_wp |
---|
1717 | ai(nx+2,k) = 0.0_wp |
---|
1718 | ENDDO |
---|
1719 | |
---|
1720 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 ) |
---|
1721 | |
---|
1722 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
1723 | |
---|
1724 | ENDIF |
---|
1725 | |
---|
1726 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1727 | |
---|
1728 | #if defined( __nec ) |
---|
1729 | siza = SIZE( ai, 1 ) |
---|
1730 | sizw = SIZE( work, 1 ) |
---|
1731 | |
---|
1732 | IF ( direction == 'forward') THEN |
---|
1733 | |
---|
1734 | ! |
---|
1735 | !-- Tables are initialized once more. This call should not be |
---|
1736 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1737 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
1738 | trig_xf, work1, 0 ) |
---|
1739 | |
---|
1740 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
1741 | IF ( nz1 > nz ) THEN |
---|
1742 | ai(:,nz1) = 0.0_wp |
---|
1743 | ENDIF |
---|
1744 | |
---|
1745 | CALL DZFFTM( 1, nx+1, nz1, sqr_dnx, ai, siza, work, sizw, & |
---|
1746 | trig_xf, work1, 0 ) |
---|
1747 | |
---|
1748 | DO k = 1, nz |
---|
1749 | DO i = 0, (nx+1)/2 |
---|
1750 | ar(i,k) = REAL( work(i+1,k), KIND=wp ) |
---|
1751 | ENDDO |
---|
1752 | DO i = 1, (nx+1)/2 - 1 |
---|
1753 | ar(nx+1-i,k) = AIMAG( work(i+1,k) ) |
---|
1754 | ENDDO |
---|
1755 | ENDDO |
---|
1756 | |
---|
1757 | ELSE |
---|
1758 | |
---|
1759 | ! |
---|
1760 | !-- Tables are initialized once more. This call should not be |
---|
1761 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1762 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
1763 | trig_xb, work1, 0 ) |
---|
1764 | |
---|
1765 | IF ( nz1 > nz ) THEN |
---|
1766 | work(:,nz1) = 0.0_wp |
---|
1767 | ENDIF |
---|
1768 | DO k = 1, nz |
---|
1769 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
1770 | DO i = 1, (nx+1)/2 - 1 |
---|
1771 | work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k), KIND=wp ) |
---|
1772 | ENDDO |
---|
1773 | work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0_wp, KIND=wp ) |
---|
1774 | ENDDO |
---|
1775 | |
---|
1776 | CALL ZDFFTM( -1, nx+1, nz1, sqr_dnx, work, sizw, ai, siza, & |
---|
1777 | trig_xb, work1, 0 ) |
---|
1778 | |
---|
1779 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
1780 | |
---|
1781 | ENDIF |
---|
1782 | |
---|
1783 | #else |
---|
1784 | message_string = 'no system-specific fft-call available' |
---|
1785 | CALL message( 'fft_x_m', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1786 | #endif |
---|
1787 | |
---|
1788 | ELSE |
---|
1789 | |
---|
1790 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1791 | '" not available' |
---|
1792 | CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1793 | |
---|
1794 | ENDIF |
---|
1795 | |
---|
1796 | END SUBROUTINE fft_x_m |
---|
1797 | |
---|
1798 | !------------------------------------------------------------------------------! |
---|
1799 | ! Description: |
---|
1800 | ! ------------ |
---|
1801 | !> Fourier-transformation along y-direction. |
---|
1802 | !> Version for 1d domain decomposition |
---|
1803 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
1804 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
1805 | !------------------------------------------------------------------------------! |
---|
1806 | |
---|
1807 | SUBROUTINE fft_y_m( ar, ny1, direction ) |
---|
1808 | |
---|
1809 | |
---|
1810 | IMPLICIT NONE |
---|
1811 | |
---|
1812 | CHARACTER (LEN=*) :: direction !< |
---|
1813 | |
---|
1814 | INTEGER(iwp) :: j !< |
---|
1815 | INTEGER(iwp) :: k !< |
---|
1816 | INTEGER(iwp) :: ny1 !< |
---|
1817 | INTEGER(iwp) :: siza !< |
---|
1818 | |
---|
1819 | REAL(wp), DIMENSION(0:ny1,nz) :: ar !< |
---|
1820 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: ai !< |
---|
1821 | REAL(wp), DIMENSION(6*(ny+4),nz+1) :: work1 !< |
---|
1822 | |
---|
1823 | #if defined( __nec ) |
---|
1824 | INTEGER(iwp) :: sizw !< |
---|
1825 | |
---|
1826 | COMPLEX(wp), DIMENSION((ny+4)/2+1,nz+1) :: work !< |
---|
1827 | #endif |
---|
1828 | |
---|
1829 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
1830 | |
---|
1831 | siza = SIZE( ai, 1 ) |
---|
1832 | |
---|
1833 | IF ( direction == 'forward') THEN |
---|
1834 | |
---|
1835 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
1836 | ai(ny+1:,:) = 0.0_wp |
---|
1837 | |
---|
1838 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 ) |
---|
1839 | |
---|
1840 | DO k = 1, nz |
---|
1841 | DO j = 0, (ny+1)/2 |
---|
1842 | ar(j,k) = ai(2*j,k) |
---|
1843 | ENDDO |
---|
1844 | DO j = 1, (ny+1)/2 - 1 |
---|
1845 | ar(ny+1-j,k) = ai(2*j+1,k) |
---|
1846 | ENDDO |
---|
1847 | ENDDO |
---|
1848 | |
---|
1849 | ELSE |
---|
1850 | |
---|
1851 | DO k = 1, nz |
---|
1852 | DO j = 0, (ny+1)/2 |
---|
1853 | ai(2*j,k) = ar(j,k) |
---|
1854 | ENDDO |
---|
1855 | DO j = 1, (ny+1)/2 - 1 |
---|
1856 | ai(2*j+1,k) = ar(ny+1-j,k) |
---|
1857 | ENDDO |
---|
1858 | ai(1,k) = 0.0_wp |
---|
1859 | ai(ny+2,k) = 0.0_wp |
---|
1860 | ENDDO |
---|
1861 | |
---|
1862 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 ) |
---|
1863 | |
---|
1864 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
1865 | |
---|
1866 | ENDIF |
---|
1867 | |
---|
1868 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
1869 | |
---|
1870 | #if defined( __nec ) |
---|
1871 | siza = SIZE( ai, 1 ) |
---|
1872 | sizw = SIZE( work, 1 ) |
---|
1873 | |
---|
1874 | IF ( direction == 'forward') THEN |
---|
1875 | |
---|
1876 | ! |
---|
1877 | !-- Tables are initialized once more. This call should not be |
---|
1878 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1879 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
1880 | trig_yf, work1, 0 ) |
---|
1881 | |
---|
1882 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
1883 | IF ( nz1 > nz ) THEN |
---|
1884 | ai(:,nz1) = 0.0_wp |
---|
1885 | ENDIF |
---|
1886 | |
---|
1887 | CALL DZFFTM( 1, ny+1, nz1, sqr_dny, ai, siza, work, sizw, & |
---|
1888 | trig_yf, work1, 0 ) |
---|
1889 | |
---|
1890 | DO k = 1, nz |
---|
1891 | DO j = 0, (ny+1)/2 |
---|
1892 | ar(j,k) = REAL( work(j+1,k), KIND=wp ) |
---|
1893 | ENDDO |
---|
1894 | DO j = 1, (ny+1)/2 - 1 |
---|
1895 | ar(ny+1-j,k) = AIMAG( work(j+1,k) ) |
---|
1896 | ENDDO |
---|
1897 | ENDDO |
---|
1898 | |
---|
1899 | ELSE |
---|
1900 | |
---|
1901 | ! |
---|
1902 | !-- Tables are initialized once more. This call should not be |
---|
1903 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
1904 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
1905 | trig_yb, work1, 0 ) |
---|
1906 | |
---|
1907 | IF ( nz1 > nz ) THEN |
---|
1908 | work(:,nz1) = 0.0_wp |
---|
1909 | ENDIF |
---|
1910 | DO k = 1, nz |
---|
1911 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
1912 | DO j = 1, (ny+1)/2 - 1 |
---|
1913 | work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k), KIND=wp ) |
---|
1914 | ENDDO |
---|
1915 | work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0_wp, KIND=wp ) |
---|
1916 | ENDDO |
---|
1917 | |
---|
1918 | CALL ZDFFTM( -1, ny+1, nz1, sqr_dny, work, sizw, ai, siza, & |
---|
1919 | trig_yb, work1, 0 ) |
---|
1920 | |
---|
1921 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
1922 | |
---|
1923 | ENDIF |
---|
1924 | |
---|
1925 | #else |
---|
1926 | message_string = 'no system-specific fft-call available' |
---|
1927 | CALL message( 'fft_y_m', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
1928 | #endif |
---|
1929 | |
---|
1930 | ELSE |
---|
1931 | |
---|
1932 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
1933 | '" not available' |
---|
1934 | CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
1935 | |
---|
1936 | ENDIF |
---|
1937 | |
---|
1938 | END SUBROUTINE fft_y_m |
---|
1939 | |
---|
1940 | |
---|
1941 | END MODULE fft_xy |
---|