[1850] | 1 | !> @file random_generator_parallel_mod.f90 |
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[4592] | 2 | !--------------------------------------------------------------------------------------------------! |
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[2696] | 3 | ! This file is part of the PALM model system. |
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[1400] | 4 | ! |
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[4592] | 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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[1400] | 8 | ! |
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[4592] | 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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[1400] | 12 | ! |
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[4592] | 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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[1400] | 15 | ! |
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[4828] | 16 | ! Copyright 1997-2021 Leibniz Universitaet Hannover |
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[4592] | 17 | !--------------------------------------------------------------------------------------------------! |
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[1400] | 18 | ! |
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[4592] | 19 | ! |
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[1400] | 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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[4592] | 22 | ! |
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| 23 | ! |
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[1400] | 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 schwenkel $ |
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[4592] | 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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[4545] | 32 | ! 4438 2020-03-03 20:49:28Z raasch |
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[4438] | 33 | ! - Rename variables to avoid confusion with subdomain grid indices |
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| 34 | ! - Some formatting adjustments |
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[4592] | 35 | ! - New routine to initialize spatial 1D-arrays independent on the 2D random-number array |
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| 36 | ! |
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[4438] | 37 | ! 4360 2020-01-07 11:25:50Z suehring |
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[4182] | 38 | ! Corrected "Former revisions" section |
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[4592] | 39 | ! |
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[4182] | 40 | ! 3655 2019-01-07 16:51:22Z knoop |
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[4592] | 41 | ! Unused variable removed |
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[4182] | 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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[1400] | 45 | ! |
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[4592] | 46 | ! |
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| 47 | !--------------------------------------------------------------------------------------------------! |
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[1400] | 48 | ! Description: |
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| 49 | ! ------------ |
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[1682] | 50 | !> This module contains and supports the random number generating routine ran_parallel. |
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[4592] | 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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[1682] | 59 | !> |
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| 60 | !> This routine is taken from the "numerical recipies vol. 2" |
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[4592] | 61 | !--------------------------------------------------------------------------------------------------! |
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| 62 | MODULE random_generator_parallel |
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[1400] | 63 | |
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[4592] | 64 | USE kinds |
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[4438] | 65 | |
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[4592] | 66 | IMPLICIT NONE |
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[4438] | 67 | |
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[4592] | 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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[4438] | 76 | |
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[4592] | 77 | INTEGER(isp), DIMENSION(:, :), POINTER, SAVE :: ranseeds !< |
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[4438] | 78 | |
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[4592] | 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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[4438] | 85 | |
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[4592] | 86 | INTEGER(isp), DIMENSION(:,:), ALLOCATABLE :: id_random_array !< |
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| 87 | INTEGER(isp), DIMENSION(:,:,:), ALLOCATABLE :: seq_random_array !< |
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[4438] | 88 | |
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[4592] | 89 | REAL(wp), SAVE :: amm !< |
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[4438] | 90 | |
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[4592] | 91 | REAL(wp) :: random_dummy = 0.0 !< |
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[4438] | 92 | |
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[4592] | 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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[4438] | 97 | |
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[4592] | 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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[4438] | 101 | |
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[4592] | 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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[4545] | 105 | |
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[4592] | 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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[4438] | 109 | |
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[4592] | 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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[4438] | 113 | |
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[4592] | 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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[4438] | 117 | |
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[4592] | 118 | INTERFACE arth |
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| 119 | MODULE PROCEDURE arth_i |
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| 120 | END INTERFACE |
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[1400] | 121 | |
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[4592] | 122 | PRIVATE |
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[4438] | 123 | |
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[4592] | 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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[4438] | 131 | |
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[1400] | 132 | CONTAINS |
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[4438] | 133 | |
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[4592] | 134 | !--------------------------------------------------------------------------------------------------! |
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[1400] | 135 | ! Description: |
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| 136 | ! ------------ |
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[4438] | 137 | !> Initialize the parallel random number generator for a 1-dimensional array. |
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[4592] | 138 | !--------------------------------------------------------------------------------------------------! |
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| 139 | SUBROUTINE init_parallel_random_generator_1d( nxy, ns, ne, id_rand, seq_rand ) |
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[4438] | 140 | |
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[4592] | 141 | USE control_parameters, & |
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| 142 | ONLY: ensemble_member_nr |
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[4438] | 143 | |
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[4592] | 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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[4438] | 147 | |
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[4592] | 148 | INTEGER(iwp) :: j !< loop index |
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[4438] | 149 | |
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[4592] | 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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[4438] | 152 | |
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| 153 | ! |
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[4592] | 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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[4438] | 158 | ! |
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[4592] | 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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[4438] | 166 | |
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[4592] | 167 | END SUBROUTINE init_parallel_random_generator_1d |
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[4438] | 168 | |
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[4592] | 169 | !--------------------------------------------------------------------------------------------------! |
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[4438] | 170 | ! Description: |
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| 171 | ! ------------ |
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[4592] | 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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[2172] | 175 | |
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[4592] | 176 | USE kinds |
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[2172] | 177 | |
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[4592] | 178 | USE control_parameters, & |
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| 179 | ONLY: ensemble_member_nr |
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[2172] | 180 | |
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[4592] | 181 | IMPLICIT NONE |
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[2172] | 182 | |
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[4592] | 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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[2172] | 188 | |
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[4592] | 189 | INTEGER(iwp) :: i !< grid index x-direction |
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| 190 | INTEGER(iwp) :: j !< grid index y-direction |
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[2172] | 191 | |
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[4592] | 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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[2172] | 197 | |
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[4592] | 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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[2172] | 214 | |
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[4592] | 215 | END SUBROUTINE init_parallel_random_generator_2d |
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| 216 | |
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| 217 | !--------------------------------------------------------------------------------------------------! |
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[2172] | 218 | ! Description: |
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| 219 | ! ------------ |
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[4592] | 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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[1682] | 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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[4592] | 226 | !--------------------------------------------------------------------------------------------------! |
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| 227 | SUBROUTINE ran0_s( harvest ) |
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[1400] | 228 | |
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[4592] | 229 | USE kinds |
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[1400] | 230 | |
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[4592] | 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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[1400] | 261 | ! Description: |
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| 262 | ! ------------ |
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[4592] | 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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[4545] | 268 | |
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[4592] | 269 | REAL(wp), INTENT(OUT) :: harvest !< |
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[4545] | 270 | |
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[4592] | 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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[4545] | 275 | |
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[4592] | 276 | LOGICAL, SAVE :: gaus_stored = .FALSE. !< |
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[4545] | 277 | ! |
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[4592] | 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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[4545] | 282 | ! |
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[4592] | 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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[4545] | 291 | ! |
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[4592] | 292 | !-- See if they are in the unit circle |
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| 293 | rsq = v1**2 + v2**2 |
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[4545] | 294 | ! |
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[4592] | 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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[4545] | 298 | ! |
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[4592] | 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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[4545] | 306 | |
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[4592] | 307 | END SUBROUTINE gasdev_s |
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[4545] | 308 | |
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[4592] | 309 | !--------------------------------------------------------------------------------------------------! |
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[4545] | 310 | ! Description: |
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| 311 | ! ------------ |
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[4592] | 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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[1400] | 317 | |
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[4592] | 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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[1400] | 414 | ! Description: |
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| 415 | ! ------------ |
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[1682] | 416 | !> User interface to release the workspace used by the random number routines. |
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[4592] | 417 | !--------------------------------------------------------------------------------------------------! |
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| 418 | SUBROUTINE ran_deallocate |
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[1400] | 419 | |
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[4592] | 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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[1400] | 431 | ! Description: |
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| 432 | ! ------------ |
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[4592] | 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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[1400] | 439 | |
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[4592] | 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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[1400] | 486 | ! Description: |
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| 487 | ! ------------ |
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[4592] | 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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[1400] | 492 | |
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[4592] | 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 | |
---|
| 514 | !--------------------------------------------------------------------------------------------------! |
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[1400] | 515 | ! Description: |
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| 516 | ! ------------ |
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[4592] | 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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[2255] | 520 | |
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[4592] | 521 | USE control_parameters, & |
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| 522 | ONLY: message_string |
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[2255] | 523 | |
---|
[4592] | 524 | CHARACTER(LEN=*), INTENT(IN) :: string !< Error message string |
---|
[2255] | 525 | |
---|
[4592] | 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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[2255] | 528 | |
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[4592] | 529 | END SUBROUTINE ran_error |
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[1400] | 530 | |
---|
[4592] | 531 | !--------------------------------------------------------------------------------------------------! |
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[1400] | 532 | ! Description: |
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| 533 | ! ------------ |
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[4592] | 534 | !> Reallocates the generators state space "ranseeds" to vectors of size length. |
---|
| 535 | !--------------------------------------------------------------------------------------------------! |
---|
| 536 | FUNCTION reallocate_iv( p, n ) |
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[2255] | 537 | |
---|
[4592] | 538 | USE control_parameters, & |
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| 539 | ONLY: message_string |
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[2255] | 540 | |
---|
[4592] | 541 | INTEGER(isp), DIMENSION(:), POINTER :: p !< |
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| 542 | INTEGER(isp), DIMENSION(:), POINTER :: reallocate_iv !< |
---|
[2255] | 543 | |
---|
[4592] | 544 | INTEGER(isp), INTENT(IN) :: n !< |
---|
[2255] | 545 | |
---|
[4592] | 546 | INTEGER(isp) :: nold !< |
---|
| 547 | INTEGER(isp) :: ierr !< |
---|
[1400] | 548 | |
---|
[4592] | 549 | ALLOCATE( reallocate_iv(n), stat = ierr ) |
---|
| 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 |
---|
| 555 | |
---|
| 556 | IF ( .NOT. ASSOCIATED( p ) ) RETURN |
---|
| 557 | |
---|
| 558 | nold = SIZE( p ) |
---|
| 559 | |
---|
| 560 | reallocate_iv(1:MIN( nold, n )) = p(1:MIN( nold, n )) |
---|
| 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 |
---|
| 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 | !--------------------------------------------------------------------------------------------------! |
---|
[1400] | 600 | ! Description: |
---|
| 601 | ! ------------ |
---|
[4592] | 602 | !> Reallocates the generators state space "ranseeds" to vectors of size length. |
---|
| 603 | !--------------------------------------------------------------------------------------------------! |
---|
| 604 | FUNCTION arth_i( first, increment, n ) |
---|
[1400] | 605 | |
---|
[4592] | 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 | |
---|
[1400] | 648 | END MODULE random_generator_parallel |
---|