| 1 | PROGRAM find_palm_config |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Description: |
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| 5 | ! ------------- |
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| 6 | ! Find possible configurations for given processor and grid point numbers |
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| 7 | !------------------------------------------------------------------------------! |
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| 8 | |
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| 9 | IMPLICIT NONE |
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| 10 | |
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| 11 | CHARACTER (LEN=1) :: char = '' |
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| 12 | INTEGER :: count = 0, i, ii(1), j, k, maximum_grid_level, mg_levels_x, & |
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| 13 | mg_levels_y, mg_levels_z, n, numprocs, numprocs_max, & |
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| 14 | numprocs_min, nx, nxanz, nx_max, nx_min, ny, nyanz, ny_max, & |
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| 15 | ny_min, nz, nz_max, nz_min, pdims(2) |
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| 16 | INTEGER :: numnx(10000), numpr(10000) |
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| 17 | LOGICAL :: cubic_domain = .FALSE., found, found_once = .FALSE., & |
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| 18 | one_d_decomp = .FALSE., quadratic_domain_xy = .FALSE. |
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| 19 | REAL :: grid_ratio, grid_ratio_new, maximum_grid_ratio, tolerance, & |
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| 20 | tolerance_nx, tolerance_ny, tolerance_nz |
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| 21 | REAL :: gridratio(10000) |
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| 22 | |
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| 23 | TYPE configuration |
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| 24 | REAL :: grid_ratio |
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| 25 | INTEGER :: numprocs, pdims_1, pdims_2, nx, ny, nz, nxanz, & |
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| 26 | nyanz, grid_levels, nx_mg, ny_mg, nz_mg |
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| 27 | END TYPE configuration |
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| 28 | |
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| 29 | TYPE(configuration), DIMENSION(10000) :: config |
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| 30 | |
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| 31 | ! |
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| 32 | !-- Ask number of processors available |
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| 33 | PRINT*, '*** number of PEs available + allowed tolerance:' |
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| 34 | READ (*,*) numprocs, tolerance |
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| 35 | IF ( tolerance < 0.0 ) THEN |
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| 36 | numprocs_max = numprocs |
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| 37 | numprocs_min = numprocs * ( 1.0 + tolerance ) |
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| 38 | ELSE |
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| 39 | numprocs_max = numprocs * ( 1.0 + tolerance ) |
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| 40 | numprocs_min = numprocs * ( 1.0 - tolerance ) |
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| 41 | ENDIF |
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| 42 | |
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| 43 | ! |
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| 44 | !-- Ask for 1D-decomposition |
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| 45 | PRINT*, ' ' |
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| 46 | PRINT*, ' ' |
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| 47 | PRINT*, '*** shall a 1d-decomposition along x be used (y/n)?' |
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| 48 | READ (*,*) char |
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| 49 | IF ( char == 'y' ) one_d_decomp = .TRUE. |
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| 50 | |
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| 51 | ! |
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| 52 | !-- Ask for quadratic domain |
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| 53 | PRINT*, ' ' |
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| 54 | PRINT*, ' ' |
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| 55 | PRINT*, '*** shall a quadratic domain along x and y be used (y/n)?' |
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| 56 | READ (*,*) char |
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| 57 | IF ( char == 'y' ) THEN |
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| 58 | quadratic_domain_xy = .TRUE. |
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| 59 | PRINT*, ' ' |
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| 60 | PRINT*, ' ' |
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| 61 | PRINT*, '*** shall also grid points along z be equal to x and y (y/n)?' |
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| 62 | READ (*,*) char |
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| 63 | IF ( char == 'y' ) cubic_domain = .TRUE. |
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| 64 | ENDIF |
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| 65 | |
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| 66 | ! |
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| 67 | !-- Read number of gridpoints in each direction |
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| 68 | PRINT*, ' ' |
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| 69 | PRINT*, ' ' |
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| 70 | PRINT*, '*** please type nx + allowed tolerance:' |
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| 71 | READ (*,*) nx, tolerance_nx |
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| 72 | IF ( tolerance_nx < 0.0 ) THEN |
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| 73 | nx_max = nx |
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| 74 | nx_min = nx * ( 1.0 + tolerance_nx ) |
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| 75 | ELSE |
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| 76 | nx_max = nx * ( 1.0 + tolerance_nx ) |
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| 77 | nx_min = nx * ( 1.0 - tolerance_nx ) |
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| 78 | ENDIF |
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| 79 | IF ( quadratic_domain_xy ) THEN |
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| 80 | ny = nx |
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| 81 | tolerance_ny = tolerance_nx |
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| 82 | ELSE |
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| 83 | PRINT*, '*** please type ny + allowed tolerance:' |
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| 84 | READ (*,*) ny, tolerance_ny |
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| 85 | ENDIF |
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| 86 | IF ( tolerance_ny < 0.0 ) THEN |
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| 87 | ny_max = ny |
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| 88 | ny_min = ny * ( 1.0 + tolerance_ny ) |
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| 89 | ELSE |
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| 90 | ny_max = ny * ( 1.0 + tolerance_ny ) |
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| 91 | ny_min = ny * ( 1.0 - tolerance_ny ) |
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| 92 | ENDIF |
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| 93 | IF ( cubic_domain ) THEN |
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| 94 | nz = nx |
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| 95 | tolerance_nz = tolerance_nx |
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| 96 | ELSE |
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| 97 | PRINT*, '*** please type nz + allowed tolerance:' |
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| 98 | READ (*,*) nz, tolerance_nz |
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| 99 | ENDIF |
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| 100 | IF ( tolerance_nz < 0.0 ) THEN |
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| 101 | nz_max = nz |
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| 102 | nz_min = nz * ( 1.0 + tolerance_nz ) |
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| 103 | ELSE |
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| 104 | nz_max = nz * ( 1.0 + tolerance_nz ) |
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| 105 | nz_min = nz * ( 1.0 - tolerance_nz ) |
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| 106 | ENDIF |
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| 107 | |
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| 108 | ! |
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| 109 | !-- Read maximum gridpoint-ratio for which results shall be printed |
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| 110 | PRINT*, ' ' |
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| 111 | PRINT*, '*** please type maximum subdomain gridpoint-ratio' |
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| 112 | PRINT*, ' ( ABS( nx_sub / ny_sub - 1.0 ) ) for which results shall be' |
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| 113 | PRINT*, ' printed' |
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| 114 | READ (*,*) maximum_grid_ratio |
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| 115 | |
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| 116 | ! |
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| 117 | !-- Loop over allowed numbers of processors |
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| 118 | g: DO n = numprocs_max, numprocs_min, -1 |
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| 119 | |
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| 120 | ! |
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| 121 | !-- Set initial configuration |
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| 122 | numprocs = n |
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| 123 | pdims(1) = numprocs + 1 |
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| 124 | pdims(2) = 1 |
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| 125 | |
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| 126 | ! |
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| 127 | !-- Looking for practicable virtual processor grids |
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| 128 | p: DO WHILE ( pdims(1) > 1 ) |
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| 129 | |
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| 130 | pdims(1) = pdims(1) - 1 |
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| 131 | |
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| 132 | ! |
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| 133 | !-- Create the virtual PE-grid topology |
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| 134 | IF ( MOD( numprocs , pdims(1) ) /= 0 ) THEN |
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| 135 | CYCLE p |
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| 136 | ELSE |
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| 137 | IF ( one_d_decomp .AND. pdims(1) < numprocs ) CYCLE g |
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| 138 | ENDIF |
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| 139 | pdims(2) = numprocs / pdims(1) |
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| 140 | |
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| 141 | xn: DO nx = nx_min, nx_max |
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| 142 | ! |
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| 143 | !-- Proof, if grid points in x-direction can be distributed without |
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| 144 | !-- rest to the processors in x- and y-direction |
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| 145 | IF ( MOD(nx+1, pdims(1)) /= 0 .OR. & |
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| 146 | MOD(nx+1, pdims(2)) /= 0 ) CYCLE xn |
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| 147 | nxanz = ( nx + 1 ) / pdims(1) |
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| 148 | |
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| 149 | yn: DO ny = ny_min, ny_max |
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| 150 | ! |
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| 151 | !-- Eventually exit in case of non quadratic domains |
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| 152 | IF ( quadratic_domain_xy .AND. ny /= nx ) CYCLE yn |
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| 153 | ! |
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| 154 | !-- Proof, if grid points in y-direction can be distributed without |
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| 155 | !-- rest to the processors in x- and y-direction |
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| 156 | IF ( MOD( ny+1 , pdims(2) ) /= 0 .OR. & |
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| 157 | MOD( ny+1, pdims(1) ) /= 0 ) CYCLE yn |
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| 158 | nyanz = ( ny + 1 ) / pdims(2) |
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| 159 | |
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| 160 | grid_ratio = ABS( REAL( nxanz ) / REAL( nyanz ) - 1.0 ) |
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| 161 | |
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| 162 | zn: DO nz = nz_min, nz_max |
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| 163 | ! |
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| 164 | !-- Eventually exit in case of non cubic domains |
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| 165 | IF ( cubic_domain .AND. nz /= nx ) CYCLE zn |
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| 166 | ! |
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| 167 | !-- Proof, if grid points in z-direction can be distributed |
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| 168 | !-- without rest to the processors in x-direction |
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| 169 | IF ( MOD( nz, pdims(1) ) /= 0 .AND. .NOT. one_d_decomp ) & |
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| 170 | THEN |
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| 171 | CYCLE zn |
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| 172 | ENDIF |
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| 173 | |
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| 174 | ! |
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| 175 | !-- Store configuration found |
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| 176 | IF ( grid_ratio < maximum_grid_ratio ) THEN |
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| 177 | found = .TRUE. |
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| 178 | count = count + 1 |
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| 179 | config(count)%grid_ratio = grid_ratio |
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| 180 | config(count)%numprocs = numprocs |
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| 181 | config(count)%pdims_1 = pdims(1) |
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| 182 | config(count)%pdims_2 = pdims(2) |
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| 183 | config(count)%nx = nx |
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| 184 | config(count)%ny = ny |
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| 185 | config(count)%nz = nz |
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| 186 | config(count)%nxanz = nxanz |
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| 187 | config(count)%nyanz = nyanz |
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| 188 | IF ( count == 10000 ) THEN |
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| 189 | PRINT*, '+++ more than 10000 configurations' |
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| 190 | EXIT g |
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| 191 | ENDIF |
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| 192 | ENDIF |
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| 193 | |
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| 194 | IF ( one_d_decomp ) CYCLE yn |
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| 195 | |
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| 196 | ENDDO zn |
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| 197 | |
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| 198 | ENDDO yn |
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| 199 | |
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| 200 | ENDDO xn |
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| 201 | |
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| 202 | ENDDO p |
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| 203 | |
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| 204 | ENDDO g |
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| 205 | |
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| 206 | IF ( .NOT. found ) THEN |
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| 207 | PRINT*, ' ' |
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| 208 | PRINT*, '+++ No valid processor grid found for the given number of' |
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| 209 | PRINT*, ' processors and gridpoints' |
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| 210 | STOP |
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| 211 | ENDIF |
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| 212 | |
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| 213 | ! |
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| 214 | !-- Calculate number of possible grid levels and gridpoints of the coarsest grid |
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| 215 | !-- used by the multigrid method |
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| 216 | DO n = 1, count |
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| 217 | mg_levels_x = 1 |
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| 218 | mg_levels_y = 1 |
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| 219 | mg_levels_z = 1 |
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| 220 | |
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| 221 | i = config(n)%nxanz |
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| 222 | DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 ) |
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| 223 | i = i / 2 |
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| 224 | mg_levels_x = mg_levels_x + 1 |
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| 225 | ENDDO |
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| 226 | |
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| 227 | j = config(n)%nyanz |
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| 228 | DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 ) |
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| 229 | j = j / 2 |
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| 230 | mg_levels_y = mg_levels_y + 1 |
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| 231 | ENDDO |
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| 232 | |
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| 233 | k = config(n)%nz |
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| 234 | DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 ) |
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| 235 | k = k / 2 |
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| 236 | mg_levels_z = mg_levels_z + 1 |
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| 237 | ENDDO |
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| 238 | |
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| 239 | maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z ) |
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| 240 | config(n)%grid_levels = maximum_grid_level |
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| 241 | config(n)%nx_mg = config(n)%nxanz / 2**(maximum_grid_level-1) |
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| 242 | config(n)%ny_mg = config(n)%nyanz / 2**(maximum_grid_level-1) |
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| 243 | config(n)%nz_mg = config(n)%nz / 2**(maximum_grid_level-1) |
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| 244 | ENDDO |
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| 245 | |
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| 246 | ! |
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| 247 | !-- Print the configurations computed above |
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| 248 | PRINT*, ' ' |
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| 249 | PRINT*, ' ' |
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| 250 | PRINT*, '*** print out results in ascending grid-ratio order (y/n)?' |
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| 251 | READ (*,*) char |
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| 252 | IF ( char == 'y' ) THEN |
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| 253 | gridratio = 10000.0 |
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| 254 | gridratio(1:count) = config(1:count)%grid_ratio |
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| 255 | WRITE ( *, * ) ' ' |
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| 256 | WRITE ( *, * ) 'Possible configurations found:' |
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| 257 | WRITE ( *, * ) 'sorted in ascending grid-ratio order' |
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| 258 | WRITE ( *, 100 ) |
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| 259 | DO |
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| 260 | ii = MINLOC( gridratio ) |
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| 261 | i = ii(1) |
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| 262 | IF ( gridratio(i) /= 10000.0 ) THEN |
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| 263 | WRITE ( *, 101 ) & |
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| 264 | config(i)%grid_ratio, config(i)%numprocs, config(i)%pdims_1, & |
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| 265 | config(i)%pdims_2, config(i)%nx, config(i)%ny, config(i)%nz, & |
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| 266 | config(i)%nxanz, config(i)%nyanz, config(i)%grid_levels, & |
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| 267 | config(i)%nx_mg, config(i)%ny_mg, config(i)%nz_mg |
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| 268 | gridratio(i) = 10000.0 |
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| 269 | ELSE |
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| 270 | EXIT |
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| 271 | ENDIF |
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| 272 | ENDDO |
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| 273 | ENDIF |
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| 274 | |
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| 275 | PRINT*, ' ' |
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| 276 | PRINT*, ' ' |
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| 277 | PRINT*, '*** print out results in descending PE order (y/n)?' |
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| 278 | READ (*,*) char |
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| 279 | IF ( char == 'y' ) THEN |
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| 280 | numpr = 0 |
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| 281 | numpr(1:count) = config(1:count)%numprocs |
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| 282 | WRITE ( *, * ) ' ' |
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| 283 | WRITE ( *, * ) 'Possible configurations found:' |
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| 284 | WRITE ( *, * ) 'sorted after number of PEs' |
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| 285 | WRITE ( *, 100 ) |
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| 286 | DO |
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| 287 | ii = MAXLOC( numpr ) |
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| 288 | i = ii(1) |
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| 289 | IF ( numpr(i) /= 0 ) THEN |
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| 290 | WRITE ( *, 101 ) & |
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| 291 | config(i)%grid_ratio, config(i)%numprocs, config(i)%pdims_1, & |
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| 292 | config(i)%pdims_2, config(i)%nx, config(i)%ny, config(i)%nz, & |
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| 293 | config(i)%nxanz, config(i)%nyanz, config(i)%grid_levels, & |
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| 294 | config(i)%nx_mg, config(i)%ny_mg, config(i)%nz_mg |
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| 295 | numpr(i) = 0 |
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| 296 | ELSE |
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| 297 | EXIT |
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| 298 | ENDIF |
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| 299 | ENDDO |
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| 300 | ENDIF |
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| 301 | |
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| 302 | PRINT*, ' ' |
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| 303 | PRINT*, ' ' |
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| 304 | PRINT*, '*** print out results in descending grid size order (y/n)?' |
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| 305 | READ (*,*) char |
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| 306 | IF ( char == 'y' ) THEN |
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| 307 | numnx = 0 |
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| 308 | DO i = 1, count |
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| 309 | numnx(i) = config(i)%nx * config(i)%ny * config(i)%nz |
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| 310 | ENDDO |
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| 311 | WRITE ( *, * ) ' ' |
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| 312 | WRITE ( *, * ) 'Possible configurations found:' |
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| 313 | WRITE ( *, * ) 'sorted after grid size' |
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| 314 | WRITE ( *, 100 ) |
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| 315 | DO |
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| 316 | ii = MAXLOC( numnx ) |
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| 317 | i = ii(1) |
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| 318 | IF ( numnx(i) /= 0 ) THEN |
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| 319 | WRITE ( *, 101 ) & |
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| 320 | config(i)%grid_ratio, config(i)%numprocs, config(i)%pdims_1, & |
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| 321 | config(i)%pdims_2, config(i)%nx, config(i)%ny, config(i)%nz, & |
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| 322 | config(i)%nxanz, config(i)%nyanz, config(i)%grid_levels, & |
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| 323 | config(i)%nx_mg, config(i)%ny_mg, config(i)%nz_mg |
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| 324 | numnx(i) = 0 |
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| 325 | ELSE |
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| 326 | EXIT |
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| 327 | ENDIF |
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| 328 | ENDDO |
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| 329 | ENDIF |
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| 330 | |
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| 331 | 100 FORMAT('ratio PEs PE-grid nx ny nz subdomain grid_levels ', & |
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| 332 | 'coarsest subd.') |
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| 333 | 101 FORMAT(F4.2,2X,I4,' (',I4,',',I4,')',2X,I4,1X,I4,1X,I4,' (',I4,',',I4,')', & |
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| 334 | 5X,I2,7X,'(',I3,',',I3,',',I3,')') |
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| 335 | |
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| 336 | END PROGRAM find_palm_config |
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