1 | !> @file random_generator_parallel_mod.f90 |
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2 | !--------------------------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
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6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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7 | ! (at your option) any later version. |
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8 | ! |
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9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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11 | ! Public License for more details. |
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12 | ! |
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13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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14 | ! <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2021 Leibniz Universitaet Hannover |
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17 | !--------------------------------------------------------------------------------------------------! |
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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: random_generator_parallel_mod.f90 4828 2021-01-05 11:21:41Z moh.hefny $ |
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27 | ! File re-formatted to follow the PALM coding standard |
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28 | ! |
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29 | ! 4545 2020-05-22 13:17:57Z schwenkel |
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30 | ! Add generator (using parallel mode) returning gaussian distributed random number |
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31 | ! |
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32 | ! 4438 2020-03-03 20:49:28Z raasch |
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33 | ! - Rename variables to avoid confusion with subdomain grid indices |
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34 | ! - Some formatting adjustments |
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35 | ! - New routine to initialize spatial 1D-arrays independent on the 2D random-number array |
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36 | ! |
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37 | ! 4360 2020-01-07 11:25:50Z suehring |
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38 | ! Corrected "Former revisions" section |
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39 | ! |
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40 | ! 3655 2019-01-07 16:51:22Z knoop |
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41 | ! Unused variable removed |
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42 | ! |
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43 | ! 1400 2014-05-09 14:03:54Z knoop |
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44 | ! Initial revision |
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45 | ! |
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46 | ! |
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47 | !--------------------------------------------------------------------------------------------------! |
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48 | ! Description: |
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49 | ! ------------ |
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50 | !> This module contains and supports the random number generating routine ran_parallel. |
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51 | !> ran_parallel returns a uniform random deviate between 0.0 and 1.0 (exclusive of the end point |
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52 | !> values). Moreover, it contains a routine returning a normally distributed random number with mean |
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53 | !> zero and unity standard deviation. Additionally, it provides the generator with five integers for |
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54 | !> use as initial state space. The first tree integers (iran, jran, kran) are maintained as non |
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55 | !> negative values, while the last two (mran, nran) have 32-bit nonzero values. Also provided by |
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56 | !> this module is support for initializing or reinitializing the state space to a desired standard |
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57 | !> sequence number, hashing the initial values to random values and allocating and deallocating the |
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58 | !> internal workspace. |
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59 | !> |
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60 | !> This routine is taken from the "numerical recipies vol. 2" |
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61 | !--------------------------------------------------------------------------------------------------! |
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62 | MODULE random_generator_parallel |
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63 | |
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64 | USE kinds |
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65 | |
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66 | IMPLICIT NONE |
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67 | |
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68 | INTEGER(isp), SAVE :: lenran = 0 !< |
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69 | INTEGER(isp), SAVE :: seq = 0 !< |
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70 | INTEGER(isp), SAVE :: iran0 !< |
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71 | INTEGER(isp), SAVE :: jran0 !< |
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72 | INTEGER(isp), SAVE :: kran0 !< |
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73 | INTEGER(isp), SAVE :: mran0 !< |
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74 | INTEGER(isp), SAVE :: nran0 !< |
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75 | INTEGER(isp), SAVE :: rans !< |
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76 | |
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77 | INTEGER(isp), DIMENSION(:, :), POINTER, SAVE :: ranseeds !< |
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78 | |
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79 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: iran !< |
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80 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: jran !< |
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81 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: kran !< |
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82 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: mran !< |
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83 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: nran !< |
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84 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: ranv !< |
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85 | |
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86 | INTEGER(isp), DIMENSION(:,:), ALLOCATABLE :: id_random_array !< |
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87 | INTEGER(isp), DIMENSION(:,:,:), ALLOCATABLE :: seq_random_array !< |
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88 | |
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89 | REAL(wp), SAVE :: amm !< |
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90 | |
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91 | REAL(wp) :: random_dummy = 0.0 !< |
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92 | |
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93 | INTERFACE init_parallel_random_generator |
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94 | MODULE PROCEDURE init_parallel_random_generator_1d |
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95 | MODULE PROCEDURE init_parallel_random_generator_2d |
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96 | END INTERFACE |
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97 | |
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98 | INTERFACE random_number_parallel |
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99 | MODULE PROCEDURE ran0_s |
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100 | END INTERFACE |
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101 | |
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102 | INTERFACE random_number_parallel_gauss |
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103 | MODULE PROCEDURE gasdev_s |
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104 | END INTERFACE |
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105 | |
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106 | INTERFACE random_seed_parallel |
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107 | MODULE PROCEDURE random_seed_parallel |
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108 | END INTERFACE |
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109 | |
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110 | INTERFACE ran_hash |
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111 | MODULE PROCEDURE ran_hash_v |
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112 | END INTERFACE |
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113 | |
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114 | INTERFACE reallocate |
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115 | MODULE PROCEDURE reallocate_iv,reallocate_im |
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116 | END INTERFACE |
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117 | |
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118 | INTERFACE arth |
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119 | MODULE PROCEDURE arth_i |
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120 | END INTERFACE |
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121 | |
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122 | PRIVATE |
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123 | |
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124 | PUBLIC random_number_parallel, & |
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125 | random_seed_parallel, & |
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126 | random_dummy, & |
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127 | id_random_array, & |
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128 | seq_random_array, & |
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129 | init_parallel_random_generator, & |
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130 | random_number_parallel_gauss |
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131 | |
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132 | CONTAINS |
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133 | |
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134 | !--------------------------------------------------------------------------------------------------! |
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135 | ! Description: |
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136 | ! ------------ |
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137 | !> Initialize the parallel random number generator for a 1-dimensional array. |
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138 | !--------------------------------------------------------------------------------------------------! |
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139 | SUBROUTINE init_parallel_random_generator_1d( nxy, ns, ne, id_rand, seq_rand ) |
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140 | |
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141 | USE control_parameters, & |
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142 | ONLY: ensemble_member_nr |
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143 | |
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144 | INTEGER(isp), INTENT(IN) :: nxy !< constant scaling with grid dimensions |
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145 | INTEGER(isp), INTENT(IN) :: ns !< start index on subdomain |
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146 | INTEGER(isp), INTENT(IN) :: ne !< end index on subdomain |
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147 | |
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148 | INTEGER(iwp) :: j !< loop index |
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149 | |
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150 | INTEGER(isp), DIMENSION(ns:ne) :: id_rand !< initial IDs |
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151 | INTEGER(isp), DIMENSION(5,ns:ne) :: seq_rand !< initial random seeds |
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152 | |
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153 | ! |
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154 | !-- Asigning an ID to every vertical gridpoint column dependig on the ensemble run number. |
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155 | DO j = ns, ne |
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156 | id_rand(j) = j * ( nxy + 1.0_wp ) + 1.0_wp + 1E6 * ( ensemble_member_nr - 1000 ) |
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157 | ENDDO |
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158 | ! |
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159 | !-- Initializing with random_seed_parallel for every vertical gridpoint column. |
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160 | random_dummy = 0 |
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161 | DO j = ns, ne |
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162 | CALL random_seed_parallel( random_sequence=id_rand(j) ) |
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163 | CALL random_number_parallel( random_dummy ) |
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164 | CALL random_seed_parallel( get=seq_rand(:,j) ) |
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165 | ENDDO |
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166 | |
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167 | END SUBROUTINE init_parallel_random_generator_1d |
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168 | |
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169 | !--------------------------------------------------------------------------------------------------! |
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170 | ! Description: |
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171 | ! ------------ |
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172 | !> Initialize the parallel random number generator for a specific subdomain. |
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173 | !--------------------------------------------------------------------------------------------------! |
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174 | SUBROUTINE init_parallel_random_generator_2d( nx_l, nys_l, nyn_l, nxl_l, nxr_l ) |
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175 | |
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176 | USE kinds |
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177 | |
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178 | USE control_parameters, & |
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179 | ONLY: ensemble_member_nr |
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180 | |
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181 | IMPLICIT NONE |
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182 | |
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183 | INTEGER(isp), INTENT(IN) :: nx_l !< constant |
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184 | INTEGER(isp), INTENT(IN) :: nys_l !< local lower subdomain bound index in y-direction |
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185 | INTEGER(isp), INTENT(IN) :: nyn_l !< local upper subdomain bound index in y-direction |
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186 | INTEGER(isp), INTENT(IN) :: nxl_l !< local lower subdomain bound index in x-direction |
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187 | INTEGER(isp), INTENT(IN) :: nxr_l !< local upper subdomain bound index in x-direction |
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188 | |
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189 | INTEGER(iwp) :: i !< grid index x-direction |
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190 | INTEGER(iwp) :: j !< grid index y-direction |
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191 | |
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192 | !-- Allocate ID-array and state-space-array |
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193 | ALLOCATE ( seq_random_array(5,nys_l:nyn_l,nxl_l:nxr_l) ) |
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194 | ALLOCATE ( id_random_array(nys_l:nyn_l,nxl_l:nxr_l) ) |
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195 | seq_random_array = 0 |
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196 | id_random_array = 0 |
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197 | |
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198 | !-- Asigning an ID to every vertical gridpoint column dependig on the ensemble run number. |
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199 | DO i = nxl_l, nxr_l |
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200 | DO j = nys_l, nyn_l |
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201 | id_random_array(j,i) = j * ( nx_l + 1.0_wp ) + i + 1.0_wp + 1E6 * & |
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202 | ( ensemble_member_nr - 1000 ) |
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203 | ENDDO |
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204 | ENDDO |
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205 | !-- Initializing with random_seed_parallel for every vertical gridpoint column. |
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206 | random_dummy = 0 |
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207 | DO i = nxl_l, nxr_l |
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208 | DO j = nys_l, nyn_l |
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209 | CALL random_seed_parallel( random_sequence = id_random_array(j,i) ) |
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210 | CALL random_number_parallel( random_dummy ) |
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211 | CALL random_seed_parallel( get = seq_random_array(:,j,i) ) |
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212 | ENDDO |
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213 | ENDDO |
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214 | |
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215 | END SUBROUTINE init_parallel_random_generator_2d |
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216 | |
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217 | !--------------------------------------------------------------------------------------------------! |
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218 | ! Description: |
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219 | ! ------------ |
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220 | !> Lagged Fibonacci generator combined with a Marsaglia shift sequence. Returns as harvest a uniform |
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221 | !> random deviate between 0.0 and 1.0 (exclusive of the end point values). This generator has the |
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222 | !> same calling and initialization conventions as Fortran 90's random_number routine. |
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223 | !> Use random_seed_parallel to initialize or reinitialize to a particular sequence. |
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224 | !> The period of this generator is about 2.0 x 10^28, and it fully vectorizes. |
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225 | !> Validity of the integer model assumed by this generator is tested at initialization. |
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226 | !--------------------------------------------------------------------------------------------------! |
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227 | SUBROUTINE ran0_s( harvest ) |
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228 | |
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229 | USE kinds |
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230 | |
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231 | IMPLICIT NONE |
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232 | |
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233 | REAL(wp), INTENT(OUT) :: harvest !< |
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234 | ! |
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235 | !-- Initialization routine in ran_state. |
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236 | IF ( lenran < 1 ) CALL ran_init( 1 ) |
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237 | ! |
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238 | !-- Update Fibonacci generator, which has period p^2 + p + 1, p = 2^31 - 69. |
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239 | rans = iran0 - kran0 |
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240 | |
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241 | IF ( rans < 0 ) rans = rans + 2147483579_isp |
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242 | |
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243 | iran0 = jran0 |
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244 | jran0 = kran0 |
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245 | kran0 = rans |
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246 | ! |
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247 | !-- Update Marsaglia shift sequence with period 2^32 - 1. |
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248 | nran0 = IEOR( nran0, ISHFT( nran0, 13 ) ) |
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249 | nran0 = IEOR( nran0, ISHFT( nran0, -17 ) ) |
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250 | nran0 = IEOR( nran0, ISHFT( nran0, 5 ) ) |
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251 | ! |
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252 | !-- Combine the generators. |
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253 | rans = IEOR( nran0, rans ) |
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254 | ! |
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255 | !-- Make the result positive definite (note that amm is negative). |
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256 | harvest = amm * MERGE( rans, NOT( rans ), rans < 0 ) |
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257 | |
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258 | END SUBROUTINE ran0_s |
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259 | |
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260 | !--------------------------------------------------------------------------------------------------! |
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261 | ! Description: |
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262 | ! ------------ |
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263 | !> Returns in harvest a normally distributed deviate with zero mean and unit variance, using ran0_s |
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264 | !> as the source of uniform deviates. Following Numerical Recipes in Fortran90 (Press et al., 2nd |
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265 | !> edition, 1996, pp 1152ff). Note, instead of ran1_s, ran0_s is used. |
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266 | !--------------------------------------------------------------------------------------------------! |
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267 | SUBROUTINE gasdev_s( harvest ) |
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268 | |
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269 | REAL(wp), INTENT(OUT) :: harvest !< |
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270 | |
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271 | REAL(wp) :: rsq !< |
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272 | REAL(wp) :: v1 !< |
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273 | REAL(wp) :: v2 !< |
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274 | REAL(wp), SAVE :: g !< |
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275 | |
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276 | LOGICAL, SAVE :: gaus_stored = .FALSE. !< |
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277 | ! |
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278 | !-- We have an extra deviate handy, so return it, and unset the flag. |
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279 | IF ( gaus_stored ) THEN |
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280 | harvest = g |
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281 | gaus_stored = .FALSE. |
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282 | ! |
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283 | !-- We donât have an extra deviate handy, so pick two uniform numbers in the square extending |
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284 | !-- from -1 to +1 in each direction |
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285 | ELSE |
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286 | DO |
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287 | CALL ran0_s( v1 ) |
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288 | CALL ran0_s( v2 ) |
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289 | v1 = 2.0_wp * v1 - 1.0_wp |
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290 | v2 = 2.0_wp * v2 - 1.0_wp |
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291 | ! |
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292 | !-- See if they are in the unit circle |
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293 | rsq = v1**2 + v2**2 |
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294 | ! |
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295 | !-- Otherwise try again. |
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296 | IF ( rsq > 0.0 .AND. rsq < 1.0 ) EXIT |
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297 | ENDDO |
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298 | ! |
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299 | !-- Now make the Box-Muller transformation to get two normal deviates. |
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300 | !-- Return one and save the other for next time. Set flag. |
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301 | rsq = SQRT( - 2.0_sp * LOG( rsq ) / rsq ) |
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302 | harvest = v1 * rsq |
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303 | g = v2 * rsq |
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304 | gaus_stored = .TRUE. |
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305 | ENDIF |
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306 | |
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307 | END SUBROUTINE gasdev_s |
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308 | |
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309 | !--------------------------------------------------------------------------------------------------! |
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310 | ! Description: |
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311 | ! ------------ |
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312 | !> Initialize or reinitialize the random generator state space to vectors of size length. |
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313 | !> The saved variable seq is hashed (via calls to the module routine ran_hash) to create unique |
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314 | !> starting seeds, different for each vector component. |
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315 | !--------------------------------------------------------------------------------------------------! |
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316 | SUBROUTINE ran_init( length ) |
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317 | |
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318 | USE kinds |
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319 | |
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320 | IMPLICIT NONE |
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321 | |
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322 | INTEGER(isp), INTENT(IN) :: length !< |
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323 | |
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324 | INTEGER(isp) :: hg !< |
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325 | INTEGER(isp) :: hgm !< |
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326 | INTEGER(isp) :: hgng !< |
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327 | |
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328 | INTEGER(isp) :: new !< |
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329 | INTEGER(isp) :: j !< |
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330 | INTEGER(isp) :: hgt !< |
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331 | ! |
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332 | !-- Simply return if enough space is already allocated. |
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333 | IF ( length < lenran ) RETURN |
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334 | |
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335 | hg = HUGE( 1_isp ) |
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336 | hgm = - hg |
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337 | hgng = hgm - 1 |
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338 | hgt = hg |
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339 | |
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340 | !-- The following lines check that kind value isp is in fact a 32-bit integer with the usual |
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341 | !-- properties that we expect it to have (under negation and wrap-around addition). |
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342 | !-- If all of these tests are satisfied, then the routines that use this module are portable, even |
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343 | !-- though they go beyond Fortran 90's integer model. |
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344 | |
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345 | IF ( hg /= 2147483647 ) CALL ran_error( 'arithmetic assumption 1 failed' ) |
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346 | IF ( hgng >= 0 ) CALL ran_error( 'arithmetic assumption 2 failed' ) |
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347 | IF ( hgt + 1 /= hgng ) CALL ran_error( 'arithmetic assumption 3 failed' ) |
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348 | IF ( NOT( hg ) >= 0 ) CALL ran_error( 'arithmetic assumption 4 failed' ) |
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349 | IF ( NOT( hgng ) < 0 ) CALL ran_error( 'arithmetic assumption 5 failed' ) |
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350 | IF ( hg + hgng >= 0 ) CALL ran_error( 'arithmetic assumption 6 failed' ) |
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351 | IF ( NOT( - 1_isp ) < 0 ) CALL ran_error( 'arithmetic assumption 7 failed' ) |
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352 | IF ( NOT( 0_isp ) >= 0 ) CALL ran_error( 'arithmetic assumption 8 failed' ) |
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353 | IF ( NOT( 1_isp ) >= 0 ) CALL ran_error( 'arithmetic assumption 9 failed' ) |
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354 | |
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355 | IF ( lenran > 0 ) THEN ! Reallocate space, or ... |
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356 | |
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357 | ranseeds => reallocate( ranseeds, length, 5 ) |
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358 | ranv => reallocate( ranv, length - 1 ) |
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359 | new = lenran + 1 |
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360 | |
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361 | ELSE ! Allocate space. |
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362 | |
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363 | ALLOCATE( ranseeds(length,5) ) |
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364 | ALLOCATE( ranv(length-1) ) |
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365 | new = 1 !- Index of first location not yet initialized. |
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366 | amm = NEAREST( 1.0_wp, - 1.0_wp ) / hgng |
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367 | ! |
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368 | !-- Use of nearest is to ensure that returned random deviates are strictly less than 1.0. |
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369 | IF ( amm * hgng >= 1.0 .OR. amm * hgng <= 0.0 ) & |
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370 | CALL ran_error( 'arithmetic assumption 10 failed' ) |
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371 | |
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372 | END IF |
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373 | ! |
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374 | !-- Set starting values, unique by seq and vector component. |
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375 | ranseeds(new:,1) = seq |
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376 | ranseeds(new:,2:5) = SPREAD( arth( new, 1, SIZE( ranseeds(new:,1) ) ), 2, 4 ) |
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377 | |
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378 | DO j = 1, 4 ! Hash them. |
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379 | CALL ran_hash( ranseeds(new:,j), ranseeds(new:,j+1) ) |
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380 | END DO |
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381 | |
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382 | WHERE ( ranseeds(new:,1:3) < 0 ) & |
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383 | ranseeds(new:,1:3) = NOT( ranseeds(new:,1:3) ) ! Enforce nonnegativity. |
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384 | |
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385 | WHERE ( ranseeds(new:,4:5) == 0 ) ranseeds(new:,4:5) = 1 ! Enforce nonzero. |
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386 | |
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387 | IF ( new == 1 ) THEN ! Set scalar seeds. |
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388 | |
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389 | iran0 = ranseeds(1,1) |
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390 | jran0 = ranseeds(1,2) |
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391 | kran0 = ranseeds(1,3) |
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392 | mran0 = ranseeds(1,4) |
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393 | nran0 = ranseeds(1,5) |
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394 | rans = nran0 |
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395 | |
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396 | END IF |
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397 | |
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398 | IF ( length > 1 ) THEN ! Point to vector seeds. |
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399 | |
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400 | iran => ranseeds(2:,1) |
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401 | jran => ranseeds(2:,2) |
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402 | kran => ranseeds(2:,3) |
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403 | mran => ranseeds(2:,4) |
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404 | nran => ranseeds(2:,5) |
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405 | ranv = nran |
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406 | |
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407 | END IF |
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408 | |
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409 | lenran = length |
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410 | |
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411 | END SUBROUTINE ran_init |
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412 | |
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413 | !--------------------------------------------------------------------------------------------------! |
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414 | ! Description: |
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415 | ! ------------ |
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416 | !> User interface to release the workspace used by the random number routines. |
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417 | !--------------------------------------------------------------------------------------------------! |
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418 | SUBROUTINE ran_deallocate |
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419 | |
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420 | IF ( lenran > 0 ) THEN |
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421 | |
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422 | DEALLOCATE( ranseeds, ranv ) |
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423 | NULLIFY( ranseeds, ranv, iran, jran, kran, mran, nran ) |
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424 | lenran = 0 |
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425 | |
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426 | END IF |
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427 | |
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428 | END SUBROUTINE ran_deallocate |
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429 | |
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430 | !--------------------------------------------------------------------------------------------------! |
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431 | ! Description: |
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432 | ! ------------ |
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433 | !> User interface for seeding the random number routines. |
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434 | !> Syntax is exactly like Fortran 90's random_seed routine, with one additional argument keyword: |
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435 | !> random_sequence, set to any integer value, causes an immediate new initialization, seeded by that |
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436 | !> integer. |
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437 | !--------------------------------------------------------------------------------------------------! |
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438 | SUBROUTINE random_seed_parallel( random_sequence, state_size, put, get ) |
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439 | |
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440 | IMPLICIT NONE |
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441 | |
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442 | INTEGER(isp), OPTIONAL, INTENT(IN) :: random_sequence !< |
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443 | INTEGER(isp), OPTIONAL, INTENT(OUT) :: state_size !< |
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444 | |
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445 | INTEGER(isp), DIMENSION(:), OPTIONAL, INTENT(IN) :: put !< |
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446 | INTEGER(isp), DIMENSION(:), OPTIONAL, INTENT(OUT) :: get !< |
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447 | |
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448 | IF ( PRESENT( state_size ) ) THEN |
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449 | |
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450 | state_size = 5 * lenran |
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451 | |
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452 | ELSE IF ( PRESENT( put ) ) THEN |
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453 | |
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454 | IF ( lenran == 0 ) RETURN |
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455 | |
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456 | ranseeds = RESHAPE( put, SHAPE( ranseeds ) ) |
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457 | ! |
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458 | !-- Enforce nonnegativity and nonzero conditions on any user-supplied seeds. |
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459 | WHERE ( ranseeds(:,1:3) < 0 ) ranseeds(:,1:3) = NOT( ranseeds(:,1:3) ) |
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460 | |
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461 | WHERE ( ranseeds(:,4:5) == 0 ) ranseeds(:,4:5) = 1 |
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462 | |
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463 | iran0 = ranseeds(1,1) |
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464 | jran0 = ranseeds(1,2) |
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465 | kran0 = ranseeds(1,3) |
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466 | mran0 = ranseeds(1,4) |
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467 | nran0 = ranseeds(1,5) |
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468 | |
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469 | ELSE IF ( PRESENT( get ) ) THEN |
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470 | |
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471 | IF ( lenran == 0 ) RETURN |
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472 | |
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473 | ranseeds(1,1:5) = (/ iran0, jran0, kran0, mran0, nran0 /) |
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474 | get = RESHAPE( ranseeds, SHAPE( get ) ) |
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475 | |
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476 | ELSE IF ( PRESENT( random_sequence ) ) THEN |
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477 | |
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478 | CALL ran_deallocate |
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479 | seq = random_sequence |
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480 | |
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481 | END IF |
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482 | |
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483 | END SUBROUTINE random_seed_parallel |
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484 | |
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485 | !--------------------------------------------------------------------------------------------------! |
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486 | ! Description: |
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487 | ! ------------ |
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488 | !> DES-like hashing of two 32-bit integers, using shifts, xor's, and adds to make the internal |
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489 | !> nonlinear function. |
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490 | !--------------------------------------------------------------------------------------------------! |
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491 | SUBROUTINE ran_hash_v( il, ir ) |
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492 | |
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493 | IMPLICIT NONE |
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494 | |
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495 | INTEGER(isp), DIMENSION(:), INTENT(INOUT) :: il !< |
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496 | INTEGER(isp), DIMENSION(:), INTENT(INOUT) :: ir !< |
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497 | |
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498 | INTEGER(isp), DIMENSION(size(il)) :: is !< |
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499 | |
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500 | INTEGER(isp) :: j !< |
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501 | |
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502 | DO j = 1, 4 |
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503 | |
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504 | is = ir |
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505 | ir = IEOR( ir, ISHFT( ir, 5 ) ) + 1422217823 |
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506 | ir = IEOR( ir, ISHFT( ir, - 16 ) ) + 1842055030 |
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507 | ir = IEOR( ir, ISHFT( ir, 9 ) ) + 80567781 |
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508 | ir = IEOR( il, ir ) |
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509 | il = is |
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510 | END DO |
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511 | |
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512 | END SUBROUTINE ran_hash_v |
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513 | |
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514 | !--------------------------------------------------------------------------------------------------! |
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515 | ! Description: |
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516 | ! ------------ |
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517 | !> User interface to process error-messages produced by the random_number_parallel module. |
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518 | !--------------------------------------------------------------------------------------------------! |
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519 | SUBROUTINE ran_error( string ) |
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520 | |
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521 | USE control_parameters, & |
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522 | ONLY: message_string |
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523 | |
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524 | CHARACTER(LEN=*), INTENT(IN) :: string !< Error message string |
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525 | |
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526 | message_string = 'incompatible integer arithmetic: ' // TRIM( string ) |
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527 | CALL message( 'ran_init', 'PA0453', 1, 2, 0, 6, 0 ) |
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528 | |
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529 | END SUBROUTINE ran_error |
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530 | |
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531 | !--------------------------------------------------------------------------------------------------! |
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532 | ! Description: |
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533 | ! ------------ |
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534 | !> Reallocates the generators state space "ranseeds" to vectors of size length. |
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535 | !--------------------------------------------------------------------------------------------------! |
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536 | FUNCTION reallocate_iv( p, n ) |
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537 | |
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538 | USE control_parameters, & |
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539 | ONLY: message_string |
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540 | |
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541 | INTEGER(isp), DIMENSION(:), POINTER :: p !< |
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542 | INTEGER(isp), DIMENSION(:), POINTER :: reallocate_iv !< |
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543 | |
---|
544 | INTEGER(isp), INTENT(IN) :: n !< |
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545 | |
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546 | INTEGER(isp) :: nold !< |
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547 | INTEGER(isp) :: ierr !< |
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548 | |
---|
549 | ALLOCATE( reallocate_iv(n), stat = ierr ) |
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550 | |
---|
551 | IF ( ierr /= 0 ) THEN |
---|
552 | message_string = 'problem in attempt to allocate memory' |
---|
553 | CALL message( 'reallocate_iv', 'PA0454', 1, 2, 0, 6, 0 ) |
---|
554 | END IF |
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555 | |
---|
556 | IF ( .NOT. ASSOCIATED( p ) ) RETURN |
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557 | |
---|
558 | nold = SIZE( p ) |
---|
559 | |
---|
560 | reallocate_iv(1:MIN( nold, n )) = p(1:MIN( nold, n )) |
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561 | |
---|
562 | DEALLOCATE( p ) |
---|
563 | |
---|
564 | END FUNCTION reallocate_iv |
---|
565 | |
---|
566 | FUNCTION reallocate_im( p, n, m ) |
---|
567 | |
---|
568 | USE control_parameters, & |
---|
569 | ONLY: message_string |
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570 | |
---|
571 | INTEGER(isp), DIMENSION(:,:), POINTER :: p !< |
---|
572 | INTEGER(isp), DIMENSION(:,:), POINTER :: reallocate_im !< |
---|
573 | |
---|
574 | INTEGER(isp), INTENT(IN) :: m !< |
---|
575 | INTEGER(isp), INTENT(IN) :: n !< |
---|
576 | |
---|
577 | INTEGER(isp) :: mold !< |
---|
578 | INTEGER(isp) :: nold !< |
---|
579 | INTEGER(isp) :: ierr !< |
---|
580 | |
---|
581 | ALLOCATE( reallocate_im(n,m), stat = ierr ) |
---|
582 | |
---|
583 | IF ( ierr /= 0 ) THEN |
---|
584 | message_string = 'problem in attempt to allocate memory' |
---|
585 | CALL message( 'reallocate_im', 'PA0454', 1, 2, 0, 6, 0 ) |
---|
586 | END IF |
---|
587 | |
---|
588 | IF ( .NOT. ASSOCIATED( p ) ) RETURN |
---|
589 | |
---|
590 | nold = SIZE( p, 1 ) |
---|
591 | mold = SIZE( p, 2 ) |
---|
592 | |
---|
593 | reallocate_im(1:MIN( nold, n ),1:MIN( mold, m )) = p(1:MIN( nold, n ),1:MIN( mold, m )) |
---|
594 | |
---|
595 | DEALLOCATE(p) |
---|
596 | |
---|
597 | END FUNCTION reallocate_im |
---|
598 | |
---|
599 | !--------------------------------------------------------------------------------------------------! |
---|
600 | ! Description: |
---|
601 | ! ------------ |
---|
602 | !> Reallocates the generators state space "ranseeds" to vectors of size length. |
---|
603 | !--------------------------------------------------------------------------------------------------! |
---|
604 | FUNCTION arth_i( first, increment, n ) |
---|
605 | |
---|
606 | INTEGER(isp), INTENT(IN) :: first !< |
---|
607 | INTEGER(isp), INTENT(IN) :: increment !< |
---|
608 | INTEGER(isp), INTENT(IN) :: n !< |
---|
609 | |
---|
610 | INTEGER(isp), DIMENSION(n) :: arth_i !< |
---|
611 | |
---|
612 | INTEGER(isp) :: k !< |
---|
613 | INTEGER(isp) :: k2 !< |
---|
614 | INTEGER(isp) :: temp !< |
---|
615 | |
---|
616 | INTEGER(isp), PARAMETER :: npar_arth = 16 !< |
---|
617 | INTEGER(isp), PARAMETER :: npar2_arth = 8 !< |
---|
618 | |
---|
619 | IF ( n > 0 ) arth_i(1) = first |
---|
620 | |
---|
621 | IF ( n <= npar_arth ) THEN |
---|
622 | |
---|
623 | DO k = 2, n |
---|
624 | arth_i(k) = arth_i(k-1) + increment |
---|
625 | END DO |
---|
626 | |
---|
627 | ELSE |
---|
628 | |
---|
629 | DO k = 2, npar2_arth |
---|
630 | arth_i(k) = arth_i(k-1) + increment |
---|
631 | END DO |
---|
632 | |
---|
633 | temp = increment * npar2_arth |
---|
634 | k = npar2_arth |
---|
635 | |
---|
636 | DO |
---|
637 | IF ( k >= n ) EXIT |
---|
638 | k2 = k + k |
---|
639 | arth_i(k+1:MIN( k2, n )) = temp + arth_i(1:MIN( k, n - k )) |
---|
640 | temp = temp + temp |
---|
641 | k = k2 |
---|
642 | END DO |
---|
643 | |
---|
644 | END IF |
---|
645 | |
---|
646 | END FUNCTION arth_i |
---|
647 | |
---|
648 | END MODULE random_generator_parallel |
---|