1 | !> @file global_min_max.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: global_min_max.f90 4360 2020-01-07 11:25:50Z raasch $ |
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27 | ! OpenACC support added |
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28 | ! |
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29 | ! 4182 2019-08-22 15:20:23Z scharf |
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30 | ! Corrected "Former revisions" section |
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31 | ! |
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32 | ! 3655 2019-01-07 16:51:22Z knoop |
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33 | ! Corrected "Former revisions" section |
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34 | ! |
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35 | ! Revision 1.1 1997/07/24 11:14:03 raasch |
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36 | ! Initial revision |
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37 | ! |
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38 | ! |
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39 | ! Description: |
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40 | ! ------------ |
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41 | !> Determine the array minimum/maximum and the corresponding indices. |
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42 | !------------------------------------------------------------------------------! |
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43 | SUBROUTINE global_min_max( i1, i2, j1, j2, k1, k2, ar, mode, offset, value, & |
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44 | value_ijk, value1, value1_ijk ) |
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45 | |
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46 | |
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47 | USE indices, & |
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48 | ONLY: nbgp, ny, nx |
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49 | |
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50 | USE kinds |
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51 | |
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52 | USE pegrid |
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53 | |
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54 | IMPLICIT NONE |
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55 | |
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56 | CHARACTER (LEN=*) :: mode !< |
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57 | |
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58 | INTEGER(iwp) :: i !< |
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59 | INTEGER(iwp) :: i1 !< |
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60 | INTEGER(iwp) :: i2 !< |
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61 | INTEGER(iwp) :: id_fmax !< |
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62 | INTEGER(iwp) :: id_fmin !< |
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63 | INTEGER(iwp) :: j !< |
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64 | INTEGER(iwp) :: j1 !< |
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65 | INTEGER(iwp) :: j2 !< |
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66 | INTEGER(iwp) :: k !< |
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67 | INTEGER(iwp) :: k1 !< |
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68 | INTEGER(iwp) :: k2 !< |
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69 | INTEGER(iwp) :: fmax_ijk(3) !< |
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70 | INTEGER(iwp) :: fmax_ijk_l(3) !< |
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71 | INTEGER(iwp) :: fmin_ijk(3) !< |
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72 | INTEGER(iwp) :: fmin_ijk_l(3) !< |
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73 | INTEGER(iwp) :: value_ijk(3) !< |
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74 | |
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75 | INTEGER(iwp), OPTIONAL :: value1_ijk(3) !< |
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76 | |
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77 | REAL(wp) :: offset !< |
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78 | REAL(wp) :: value !< |
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79 | REAL(wp) :: ar(i1:i2,j1:j2,k1:k2) !< |
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80 | |
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81 | #if defined( __ibm ) |
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82 | REAL(sp) :: fmax(2) !< |
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83 | REAL(sp) :: fmax_l(2) !< |
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84 | REAL(sp) :: fmin(2) !< |
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85 | REAL(sp) :: fmin_l(2) !< |
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86 | ! on 32bit-machines MPI_2REAL must not be replaced |
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87 | ! by MPI_2DOUBLE_PRECISION |
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88 | #else |
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89 | REAL(wp) :: fmax(2) !< |
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90 | REAL(wp) :: fmax_l(2) !< |
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91 | REAL(wp) :: fmin(2) !< |
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92 | REAL(wp) :: fmin_l(2) !< |
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93 | #endif |
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94 | #if defined( _OPENACC ) |
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95 | REAL(wp) :: red !< scalar for reduction with OpenACC |
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96 | INTEGER(iwp) :: count_eq !< counter for locations of maximum |
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97 | #endif |
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98 | REAL(wp), OPTIONAL :: value1 !< |
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99 | |
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100 | |
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101 | ! |
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102 | !-- Determine array minimum |
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103 | IF ( mode == 'min' .OR. mode == 'minmax' ) THEN |
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104 | |
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105 | ! |
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106 | !-- Determine the local minimum |
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107 | fmin_ijk_l = MINLOC( ar ) |
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108 | fmin_ijk_l(1) = i1 + fmin_ijk_l(1) - 1 ! MINLOC assumes lowerbound = 1 |
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109 | fmin_ijk_l(2) = j1 + fmin_ijk_l(2) - nbgp |
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110 | fmin_ijk_l(3) = k1 + fmin_ijk_l(3) - nbgp |
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111 | fmin_l(1) = ar(fmin_ijk_l(1),fmin_ijk_l(2),fmin_ijk_l(3)) |
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112 | |
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113 | #if defined( __parallel ) |
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114 | fmin_l(2) = myid |
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115 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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116 | CALL MPI_ALLREDUCE( fmin_l, fmin, 1, MPI_2REAL, MPI_MINLOC, comm2d, & |
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117 | ierr ) |
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118 | |
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119 | ! |
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120 | !-- Determine the global minimum. Result stored on PE0. |
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121 | id_fmin = fmin(2) |
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122 | IF ( id_fmin /= 0 ) THEN |
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123 | IF ( myid == 0 ) THEN |
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124 | CALL MPI_RECV( fmin_ijk, 3, MPI_INTEGER, id_fmin, 0, comm2d, & |
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125 | status, ierr ) |
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126 | ELSEIF ( myid == id_fmin ) THEN |
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127 | CALL MPI_SEND( fmin_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
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128 | ENDIF |
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129 | ELSE |
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130 | fmin_ijk = fmin_ijk_l |
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131 | ENDIF |
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132 | ! |
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133 | !-- Send the indices of the just determined array minimum to other PEs |
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134 | CALL MPI_BCAST( fmin_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
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135 | #else |
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136 | fmin(1) = fmin_l(1) |
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137 | fmin_ijk = fmin_ijk_l |
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138 | #endif |
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139 | |
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140 | ENDIF |
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141 | |
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142 | ! |
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143 | !-- Determine array maximum |
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144 | IF ( mode == 'max' .OR. mode == 'minmax' ) THEN |
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145 | |
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146 | ! |
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147 | !-- Determine the local maximum |
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148 | fmax_ijk_l = MAXLOC( ar ) |
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149 | fmax_ijk_l(1) = i1 + fmax_ijk_l(1) - 1 ! MAXLOC assumes lowerbound = 1 |
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150 | fmax_ijk_l(2) = j1 + fmax_ijk_l(2) - nbgp |
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151 | fmax_ijk_l(3) = k1 + fmax_ijk_l(3) - nbgp |
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152 | fmax_l(1) = ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) |
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153 | |
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154 | #if defined( __parallel ) |
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155 | fmax_l(2) = myid |
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156 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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157 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
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158 | ierr ) |
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159 | |
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160 | ! |
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161 | !-- Determine the global maximum. Result stored on PE0. |
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162 | id_fmax = fmax(2) |
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163 | IF ( id_fmax /= 0 ) THEN |
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164 | IF ( myid == 0 ) THEN |
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165 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
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166 | status, ierr ) |
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167 | ELSEIF ( myid == id_fmax ) THEN |
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168 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
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169 | ENDIF |
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170 | ELSE |
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171 | fmax_ijk = fmax_ijk_l |
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172 | ENDIF |
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173 | ! |
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174 | !-- send the indices of the just determined array maximum to other PEs |
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175 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
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176 | #else |
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177 | fmax(1) = fmax_l(1) |
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178 | fmax_ijk = fmax_ijk_l |
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179 | #endif |
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180 | |
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181 | ENDIF |
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182 | |
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183 | ! |
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184 | !-- Determine absolute array maximum |
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185 | IF ( mode == 'abs' ) THEN |
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186 | |
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187 | #if defined( _OPENACC ) |
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188 | red = 0.0_wp |
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189 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
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190 | !$ACC PRESENT(ar) COPY(red) REDUCTION(MAX: red) |
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191 | DO k = k1, k2 |
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192 | DO j = j1, j2 |
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193 | DO i = i1, i2 |
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194 | IF ( ABS( ar(i,j,k) ) > red ) THEN |
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195 | red = ABS( ar(i,j,k) ) |
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196 | ENDIF |
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197 | ENDDO |
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198 | ENDDO |
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199 | ENDDO |
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200 | fmax_l(1) = red |
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201 | |
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202 | ! |
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203 | !-- Determine the maximum's position and count how often it is found. |
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204 | count_eq = 0 |
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205 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
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206 | !$ACC PRESENT(ar) COPY(fmax_ijk_l(1:3), count_eq) & |
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207 | !$ACC REDUCTION(+:count_eq) |
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208 | DO k = k1, k2 |
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209 | DO j = j1, j2 |
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210 | DO i = i1, i2 |
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211 | IF ( ABS( ar(i,j,k) ) == red ) THEN |
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212 | fmax_ijk_l(1) = i |
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213 | fmax_ijk_l(2) = j |
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214 | fmax_ijk_l(3) = k |
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215 | count_eq = count_eq + 1 |
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216 | ENDIF |
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217 | ENDDO |
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218 | ENDDO |
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219 | ENDDO |
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220 | |
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221 | IF ( count_eq == 1 ) THEN |
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222 | ! |
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223 | !-- We found a single maximum element and correctly got its position. Transfer its |
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224 | !-- value to handle the negative case correctly. |
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225 | !$ACC UPDATE HOST(ar(fmax_ijk_l(1):fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3))) |
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226 | ELSE |
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227 | ! |
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228 | !-- We found no maximum element (?) or multiple, so the position is not correct. |
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229 | !-- Copy the full array to the host and determine the maximum sequentially... |
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230 | !$ACC UPDATE HOST(ar(i1:i2,j1:j2,k1:k2)) |
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231 | #endif |
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232 | |
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233 | ! |
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234 | !-- Determine the local absolut maximum |
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235 | fmax_l(1) = 0.0_wp |
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236 | fmax_ijk_l(1) = i1 |
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237 | fmax_ijk_l(2) = j1 |
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238 | fmax_ijk_l(3) = k1 |
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239 | DO k = k1, k2 |
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240 | DO j = j1, j2 |
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241 | DO i = i1, i2 |
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242 | IF ( ABS( ar(i,j,k) ) > fmax_l(1) ) THEN |
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243 | fmax_l(1) = ABS( ar(i,j,k) ) |
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244 | fmax_ijk_l(1) = i |
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245 | fmax_ijk_l(2) = j |
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246 | fmax_ijk_l(3) = k |
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247 | ENDIF |
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248 | ENDDO |
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249 | ENDDO |
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250 | ENDDO |
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251 | |
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252 | #if defined( _OPENACC ) |
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253 | ! |
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254 | !-- Close ELSE case from above |
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255 | ENDIF |
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256 | #endif |
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257 | |
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258 | ! |
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259 | !-- Set a flag in case that the determined value is negative. |
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260 | !-- A constant offset has to be subtracted in order to handle the special |
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261 | !-- case i=0 correctly |
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262 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN |
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263 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
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264 | ENDIF |
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265 | |
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266 | #if defined( __parallel ) |
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267 | fmax_l(2) = myid |
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268 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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269 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
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270 | ierr ) |
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271 | |
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272 | ! |
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273 | !-- Determine the global absolut maximum. Result stored on PE0. |
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274 | id_fmax = fmax(2) |
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275 | IF ( id_fmax /= 0 ) THEN |
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276 | IF ( myid == 0 ) THEN |
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277 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
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278 | status, ierr ) |
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279 | ELSEIF ( myid == id_fmax ) THEN |
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280 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
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281 | ENDIF |
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282 | ELSE |
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283 | fmax_ijk = fmax_ijk_l |
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284 | ENDIF |
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285 | ! |
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286 | !-- Send the indices of the just determined absolut maximum to other PEs |
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287 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
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288 | #else |
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289 | fmax(1) = fmax_l(1) |
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290 | fmax_ijk = fmax_ijk_l |
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291 | #endif |
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292 | |
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293 | ENDIF |
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294 | |
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295 | ! |
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296 | !-- Determine absolute maximum of ( array - offset ) |
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297 | IF ( mode == 'absoff' ) THEN |
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298 | |
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299 | ! |
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300 | !-- Determine the local absolut maximum |
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301 | fmax_l(1) = 0.0_wp |
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302 | fmax_ijk_l(1) = i1 |
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303 | fmax_ijk_l(2) = j1 |
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304 | fmax_ijk_l(3) = k1 |
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305 | DO k = k1, k2 |
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306 | DO j = j1, j2 |
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307 | ! |
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308 | !-- Attention: the lowest gridpoint is excluded here, because there |
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309 | !-- --------- is no advection at nzb=0 and mode 'absoff' is only |
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310 | !-- used for calculating u,v extrema for CFL-criteria |
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311 | DO i = i1+1, i2 |
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312 | IF ( ABS( ar(i,j,k) - offset ) > fmax_l(1) ) THEN |
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313 | fmax_l(1) = ABS( ar(i,j,k) - offset ) |
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314 | fmax_ijk_l(1) = i |
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315 | fmax_ijk_l(2) = j |
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316 | fmax_ijk_l(3) = k |
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317 | ENDIF |
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318 | ENDDO |
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319 | ENDDO |
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320 | ENDDO |
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321 | |
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322 | ! |
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323 | !-- Set a flag in case that the determined value is negative. |
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324 | !-- A constant offset has to be subtracted in order to handle the special |
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325 | !-- case i=0 correctly |
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326 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN |
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327 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
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328 | ENDIF |
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329 | |
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330 | #if defined( __parallel ) |
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331 | fmax_l(2) = myid |
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332 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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333 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
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334 | ierr ) |
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335 | |
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336 | ! |
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337 | !-- Determine the global absolut maximum. Result stored on PE0. |
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338 | id_fmax = fmax(2) |
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339 | IF ( id_fmax /= 0 ) THEN |
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340 | IF ( myid == 0 ) THEN |
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341 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
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342 | status, ierr ) |
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343 | ELSEIF ( myid == id_fmax ) THEN |
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344 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
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345 | ENDIF |
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346 | ELSE |
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347 | fmax_ijk = fmax_ijk_l |
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348 | ENDIF |
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349 | ! |
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350 | !-- Send the indices of the just determined absolut maximum to other PEs |
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351 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
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352 | #else |
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353 | fmax(1) = fmax_l(1) |
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354 | fmax_ijk = fmax_ijk_l |
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355 | #endif |
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356 | |
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357 | ENDIF |
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358 | |
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359 | ! |
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360 | !-- Determine output parameters |
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361 | SELECT CASE( mode ) |
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362 | |
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363 | CASE( 'min' ) |
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364 | |
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365 | value = fmin(1) |
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366 | value_ijk = fmin_ijk |
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367 | |
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368 | CASE( 'max' ) |
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369 | |
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370 | value = fmax(1) |
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371 | value_ijk = fmax_ijk |
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372 | |
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373 | CASE( 'minmax' ) |
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374 | |
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375 | value = fmin(1) |
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376 | value_ijk = fmin_ijk |
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377 | value1 = fmax(1) |
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378 | value1_ijk = fmax_ijk |
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379 | |
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380 | CASE( 'abs', 'absoff' ) |
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381 | |
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382 | value = fmax(1) |
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383 | value_ijk = fmax_ijk |
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384 | IF ( fmax_ijk(1) < 0 ) THEN |
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385 | value = -value |
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386 | value_ijk(1) = -value_ijk(1) - 10 !??? |
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387 | ENDIF |
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388 | |
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389 | END SELECT |
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390 | |
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391 | ! |
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392 | !-- Limit index values to the range 0..nx, 0..ny |
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393 | IF ( value_ijk(3) < 0 ) value_ijk(3) = nx +1 + value_ijk(3) |
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394 | IF ( value_ijk(3) > nx ) value_ijk(3) = value_ijk(3) - (nx+1) |
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395 | IF ( value_ijk(2) < 0 ) value_ijk(2) = ny +1 + value_ijk(2) |
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396 | IF ( value_ijk(2) > ny ) value_ijk(2) = value_ijk(2) - (ny+1) |
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397 | |
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398 | |
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399 | END SUBROUTINE global_min_max |
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