| 1 | ! $Id$ |
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| 2 | |
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| 3 | MODULE lmdz_filtreg |
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| 4 | USE lmdz_paramet |
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| 5 | IMPLICIT NONE; PRIVATE |
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| 6 | PUBLIC matriceun, matriceus, matricevn, matricevs, matrinvn, matrinvs, & |
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| 7 | inifilr, filtreg |
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| 8 | |
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| 9 | REAL, DIMENSION(:, :, :), ALLOCATABLE :: matriceun, matriceus, matricevn |
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| 10 | REAL, DIMENSION(:, :, :), ALLOCATABLE :: matricevs, matrinvn, matrinvs |
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| 11 | |
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| 12 | CONTAINS |
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| 13 | |
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| 14 | SUBROUTINE filtreg(champ, nlat, nbniv, ifiltre, iaire, & |
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| 15 | griscal, iter) |
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| 16 | USE lmdz_dimensions, ONLY: iim, jjm, llm, ndm |
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| 17 | USE lmdz_coefils, ONLY: jfiltnu, jfiltnv, jfiltsu, jfiltsv, sddu, sddv, unsddu, unsddv, modfrstv, modfrstu |
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| 18 | |
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| 19 | !======================================================================= |
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| 20 | |
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| 21 | ! Auteur: P. Le Van 07/10/97 |
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| 22 | ! ------ |
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| 23 | |
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| 24 | ! Objet: filtre matriciel longitudinal ,avec les matrices precalculees |
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| 25 | ! pour l'operateur Filtre . |
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| 26 | ! ------ |
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| 27 | |
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| 28 | ! Arguments: |
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| 29 | ! ---------- |
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| 30 | |
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| 31 | ! nblat nombre de latitudes a filtrer |
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| 32 | ! nbniv nombre de niveaux verticaux a filtrer |
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| 33 | ! champ(iip1,nblat,nbniv) en entree : champ a filtrer |
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| 34 | ! en sortie : champ filtre |
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| 35 | ! ifiltre +1 Transformee directe |
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| 36 | ! -1 Transformee inverse |
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| 37 | ! +2 Filtre directe |
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| 38 | ! -2 Filtre inverse |
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| 39 | |
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| 40 | ! iaire 1 si champ intensif |
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| 41 | ! 2 si champ extensif (pondere par les aires) |
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| 42 | |
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| 43 | ! iter 1 filtre simple |
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| 44 | |
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| 45 | !======================================================================= |
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| 46 | |
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| 47 | |
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| 48 | ! Variable Intensive |
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| 49 | ! ifiltre = 1 filtre directe |
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| 50 | ! ifiltre =-1 filtre inverse |
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| 51 | |
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| 52 | ! Variable Extensive |
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| 53 | ! ifiltre = 2 filtre directe |
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| 54 | ! ifiltre =-2 filtre inverse |
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| 55 | |
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| 56 | ! |
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| 57 | |
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| 58 | |
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| 59 | |
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| 60 | INTEGER :: nlat, nbniv, ifiltre, iter |
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| 61 | INTEGER :: i, j, l, k |
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| 62 | INTEGER :: iim2, immjm |
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| 63 | INTEGER :: jdfil1, jdfil2, jffil1, jffil2, jdfil, jffil |
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| 64 | |
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| 65 | REAL :: champ(iip1, nlat, nbniv) |
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| 66 | |
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| 67 | REAL :: eignq(iim, nlat, nbniv), sdd1(iim), sdd2(iim) |
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| 68 | LOGICAL :: griscal |
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| 69 | INTEGER :: hemisph, iaire |
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| 70 | |
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| 71 | LOGICAL, SAVE :: first = .TRUE. |
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| 72 | |
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| 73 | REAL, SAVE :: sdd12(iim, 4) |
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| 74 | |
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| 75 | INTEGER, PARAMETER :: type_sddu = 1 |
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| 76 | INTEGER, PARAMETER :: type_sddv = 2 |
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| 77 | INTEGER, PARAMETER :: type_unsddu = 3 |
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| 78 | INTEGER, PARAMETER :: type_unsddv = 4 |
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| 79 | |
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| 80 | INTEGER :: sdd1_type, sdd2_type |
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| 81 | |
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| 82 | IF (iim == 1) return ! no filtre in 2D y-z |
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| 83 | |
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| 84 | IF (first) THEN |
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| 85 | sdd12(1:iim, type_sddu) = sddu(1:iim) |
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| 86 | sdd12(1:iim, type_sddv) = sddv(1:iim) |
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| 87 | sdd12(1:iim, type_unsddu) = unsddu(1:iim) |
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| 88 | sdd12(1:iim, type_unsddv) = unsddv(1:iim) |
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| 89 | |
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| 90 | first = .FALSE. |
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| 91 | ENDIF |
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| 92 | |
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| 93 | IF(ifiltre==1.OR.ifiltre==-1) & |
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| 94 | stop 'Pas de transformee simple dans cette version' |
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| 95 | |
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| 96 | IF(iter== 2) THEN |
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| 97 | PRINT *, ' Pas d iteration du filtre dans cette version !'& |
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| 98 | &, ' Utiliser old_filtreg et repasser !' |
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| 99 | STOP |
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| 100 | ENDIF |
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| 101 | |
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| 102 | IF(ifiltre== -2 .AND..NOT.griscal) THEN |
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| 103 | PRINT *, ' Cette routine ne calcule le filtre inverse que ' & |
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| 104 | , ' sur la grille des scalaires !' |
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| 105 | STOP |
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| 106 | ENDIF |
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| 107 | |
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| 108 | IF(ifiltre/=2 .AND.ifiltre/= - 2) THEN |
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| 109 | PRINT *, ' Probleme dans filtreg car ifiltre NE 2 et NE -2' & |
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| 110 | , ' corriger et repasser !' |
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| 111 | STOP |
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| 112 | ENDIF |
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| 113 | |
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| 114 | iim2 = iim * iim |
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| 115 | immjm = iim * jjm |
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| 116 | |
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| 117 | IF(griscal) THEN |
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| 118 | IF(nlat /= jjp1) THEN |
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| 119 | PRINT 1111 |
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| 120 | STOP |
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| 121 | ELSE |
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| 122 | |
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| 123 | IF(iaire==1) THEN |
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| 124 | sdd1_type = type_sddv |
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| 125 | sdd2_type = type_unsddv |
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| 126 | ELSE |
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| 127 | sdd1_type = type_unsddv |
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| 128 | sdd2_type = type_sddv |
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| 129 | ENDIF |
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| 130 | |
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| 131 | ! IF( iaire.EQ.1 ) THEN |
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| 132 | ! CALL SCOPY( iim, sddv, 1, sdd1, 1 ) |
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| 133 | ! CALL SCOPY( iim, unsddv, 1, sdd2, 1 ) |
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| 134 | ! ELSE |
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| 135 | ! CALL SCOPY( iim, unsddv, 1, sdd1, 1 ) |
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| 136 | ! CALL SCOPY( iim, sddv, 1, sdd2, 1 ) |
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| 137 | ! END IF |
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| 138 | |
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| 139 | jdfil1 = 2 |
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| 140 | jffil1 = jfiltnu |
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| 141 | jdfil2 = jfiltsu |
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| 142 | jffil2 = jjm |
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| 143 | END IF |
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| 144 | ELSE |
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| 145 | IF(nlat/=jjm) THEN |
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| 146 | PRINT 2222 |
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| 147 | STOP |
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| 148 | ELSE |
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| 149 | |
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| 150 | IF(iaire==1) THEN |
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| 151 | sdd1_type = type_sddu |
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| 152 | sdd2_type = type_unsddu |
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| 153 | ELSE |
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| 154 | sdd1_type = type_unsddu |
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| 155 | sdd2_type = type_sddu |
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| 156 | ENDIF |
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| 157 | |
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| 158 | ! IF( iaire.EQ.1 ) THEN |
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| 159 | ! CALL SCOPY( iim, sddu, 1, sdd1, 1 ) |
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| 160 | ! CALL SCOPY( iim, unsddu, 1, sdd2, 1 ) |
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| 161 | ! ELSE |
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| 162 | ! CALL SCOPY( iim, unsddu, 1, sdd1, 1 ) |
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| 163 | ! CALL SCOPY( iim, sddu, 1, sdd2, 1 ) |
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| 164 | ! END IF |
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| 165 | |
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| 166 | jdfil1 = 1 |
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| 167 | jffil1 = jfiltnv |
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| 168 | jdfil2 = jfiltsv |
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| 169 | jffil2 = jjm |
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| 170 | END IF |
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| 171 | END IF |
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| 172 | |
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| 173 | DO hemisph = 1, 2 |
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| 174 | |
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| 175 | IF (hemisph==1) THEN |
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| 176 | jdfil = jdfil1 |
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| 177 | jffil = jffil1 |
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| 178 | ELSE |
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| 179 | jdfil = jdfil2 |
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| 180 | jffil = jffil2 |
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| 181 | END IF |
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| 182 | |
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| 183 | DO l = 1, nbniv |
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| 184 | DO j = jdfil, jffil |
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| 185 | DO i = 1, iim |
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| 186 | champ(i, j, l) = champ(i, j, l) * sdd12(i, sdd1_type) ! sdd1(i) |
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| 187 | END DO |
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| 188 | END DO |
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| 189 | END DO |
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| 190 | |
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| 191 | IF(hemisph == 1) THEN |
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| 192 | |
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| 193 | IF(ifiltre == -2) THEN |
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| 194 | |
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| 195 | DO j = jdfil, jffil |
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| 196 | #ifdef BLAS |
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| 197 | CALL SGEMM("N", "N", iim, nbniv, iim, 1.0, & |
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| 198 | matrinvn(1,1,j), & |
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| 199 | iim, champ(1,j,1), iip1*nlat, 0.0, & |
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| 200 | eignq(1,j-jdfil+1,1), iim*nlat) |
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| 201 | #else |
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| 202 | eignq(:, j - jdfil + 1, :) & |
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| 203 | = matmul(matrinvn(:, :, j), champ(:iim, j, :)) |
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| 204 | #endif |
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| 205 | END DO |
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| 206 | |
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| 207 | ELSE IF (griscal) THEN |
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| 208 | |
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| 209 | DO j = jdfil, jffil |
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| 210 | #ifdef BLAS |
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| 211 | CALL SGEMM("N", "N", iim, nbniv, iim, 1.0, & |
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| 212 | matriceun(1,1,j), & |
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| 213 | iim, champ(1,j,1), iip1*nlat, 0.0, & |
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| 214 | eignq(1,j-jdfil+1,1), iim*nlat) |
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| 215 | #else |
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| 216 | eignq(:, j - jdfil + 1, :) & |
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| 217 | = matmul(matriceun(:, :, j), champ(:iim, j, :)) |
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| 218 | #endif |
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| 219 | END DO |
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| 220 | |
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| 221 | ELSE |
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| 222 | |
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| 223 | DO j = jdfil, jffil |
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| 224 | #ifdef BLAS |
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| 225 | CALL SGEMM("N", "N", iim, nbniv, iim, 1.0, & |
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| 226 | matricevn(1,1,j), & |
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| 227 | iim, champ(1,j,1), iip1*nlat, 0.0, & |
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| 228 | eignq(1,j-jdfil+1,1), iim*nlat) |
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| 229 | #else |
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| 230 | eignq(:, j - jdfil + 1, :) & |
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| 231 | = matmul(matricevn(:, :, j), champ(:iim, j, :)) |
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| 232 | #endif |
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| 233 | END DO |
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| 234 | |
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| 235 | ENDIF |
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| 236 | |
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| 237 | ELSE |
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| 238 | |
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| 239 | IF(ifiltre == -2) THEN |
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| 240 | |
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| 241 | DO j = jdfil, jffil |
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| 242 | #ifdef BLAS |
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| 243 | CALL SGEMM("N", "N", iim, nbniv, iim, 1.0, & |
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| 244 | matrinvs(1,1,j-jfiltsu+1), & |
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| 245 | iim, champ(1,j,1), iip1*nlat, 0.0, & |
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| 246 | eignq(1,j-jdfil+1,1), iim*nlat) |
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| 247 | #else |
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| 248 | eignq(:, j - jdfil + 1, :) & |
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| 249 | = matmul(matrinvs(:, :, j - jfiltsu + 1), & |
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| 250 | champ(:iim, j, :)) |
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| 251 | #endif |
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| 252 | END DO |
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| 253 | |
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| 254 | ELSE IF (griscal) THEN |
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| 255 | |
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| 256 | DO j = jdfil, jffil |
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| 257 | #ifdef BLAS |
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| 258 | CALL SGEMM("N", "N", iim, nbniv, iim, 1.0, & |
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| 259 | matriceus(1,1,j-jfiltsu+1), & |
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| 260 | iim, champ(1,j,1), iip1*nlat, 0.0, & |
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| 261 | eignq(1,j-jdfil+1,1), iim*nlat) |
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| 262 | #else |
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| 263 | eignq(:, j - jdfil + 1, :) & |
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| 264 | = matmul(matriceus(:, :, j - jfiltsu + 1), & |
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| 265 | champ(:iim, j, :)) |
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| 266 | #endif |
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| 267 | END DO |
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| 268 | |
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| 269 | ELSE |
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| 270 | |
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| 271 | DO j = jdfil, jffil |
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| 272 | #ifdef BLAS |
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| 273 | CALL SGEMM("N", "N", iim, nbniv, iim, 1.0, & |
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| 274 | matricevs(1,1,j-jfiltsv+1), & |
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| 275 | iim, champ(1,j,1), iip1*nlat, 0.0, & |
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| 276 | eignq(1,j-jdfil+1,1), iim*nlat) |
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| 277 | #else |
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| 278 | eignq(:, j - jdfil + 1, :) & |
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| 279 | = matmul(matricevs(:, :, j - jfiltsv + 1), & |
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| 280 | champ(:iim, j, :)) |
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| 281 | #endif |
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| 282 | END DO |
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| 283 | |
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| 284 | ENDIF |
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| 285 | |
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| 286 | ENDIF |
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| 287 | |
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| 288 | IF(ifiltre== 2) THEN |
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| 289 | |
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| 290 | DO l = 1, nbniv |
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| 291 | DO j = jdfil, jffil |
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| 292 | DO i = 1, iim |
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| 293 | champ(i, j, l) = & |
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| 294 | (champ(i, j, l) + eignq(i, j - jdfil + 1, l)) & |
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| 295 | * sdd12(i, sdd2_type) ! sdd2(i) |
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| 296 | END DO |
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| 297 | END DO |
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| 298 | END DO |
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| 299 | |
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| 300 | ELSE |
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| 301 | |
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| 302 | DO l = 1, nbniv |
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| 303 | DO j = jdfil, jffil |
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| 304 | DO i = 1, iim |
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| 305 | champ(i, j, l) = & |
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| 306 | (champ(i, j, l) - eignq(i, j - jdfil + 1, l)) & |
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| 307 | * sdd12(i, sdd2_type) ! sdd2(i) |
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| 308 | END DO |
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| 309 | END DO |
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| 310 | END DO |
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| 311 | |
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| 312 | ENDIF |
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| 313 | |
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| 314 | DO l = 1, nbniv |
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| 315 | DO j = jdfil, jffil |
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| 316 | champ(iip1, j, l) = champ(1, j, l) |
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| 317 | END DO |
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| 318 | END DO |
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| 319 | |
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| 320 | ENDDO |
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| 321 | |
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| 322 | 1111 FORMAT(//20x, 'ERREUR dans le dimensionnement du tableau CHAMP a& |
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| 323 | & filtrer, sur la grille des scalaires'/) |
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| 324 | 2222 FORMAT(//20x, 'ERREUR dans le dimensionnement du tableau CHAMP a fi& |
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| 325 | & ltrer, sur la grille de V ou de Z'/) |
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| 326 | RETURN |
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| 327 | END SUBROUTINE filtreg |
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| 328 | |
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| 329 | SUBROUTINE inifgn(dv) |
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| 330 | |
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| 331 | ! ... H.Upadyaya , O.Sharma ... |
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| 332 | |
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| 333 | USE lmdz_coefils, ONLY: sddv, sddu, unsddu, unsddv, eignfnv, eignfnu |
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| 334 | USE lmdz_ssum_scopy, ONLY: ssum |
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| 335 | USE lmdz_comgeom |
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| 336 | |
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| 337 | USE lmdz_dimensions, ONLY: iim, jjm, llm, ndm |
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| 338 | USE lmdz_paramet |
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| 339 | IMPLICIT NONE |
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| 340 | |
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| 341 | |
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| 342 | |
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| 343 | |
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| 344 | REAL :: vec(iim, iim), vec1(iim, iim) |
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| 345 | REAL :: dlonu(iim), dlonv(iim) |
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| 346 | REAL :: du(iim), dv(iim), d(iim) |
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| 347 | REAL :: pi |
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| 348 | INTEGER :: i, j, k, imm1, nrot |
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| 349 | ! |
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| 350 | |
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| 351 | imm1 = iim - 1 |
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| 352 | pi = 2. * ASIN(1.) |
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| 353 | |
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| 354 | DO i = 1, iim |
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| 355 | dlonu(i) = xprimu(i) |
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| 356 | dlonv(i) = xprimv(i) |
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| 357 | END DO |
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| 358 | |
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| 359 | DO i = 1, iim |
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| 360 | sddv(i) = SQRT(dlonv(i)) |
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| 361 | sddu(i) = SQRT(dlonu(i)) |
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| 362 | unsddu(i) = 1. / sddu(i) |
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| 363 | unsddv(i) = 1. / sddv(i) |
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| 364 | END DO |
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| 365 | |
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| 366 | DO j = 1, iim |
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| 367 | DO i = 1, iim |
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| 368 | vec(i, j) = 0. |
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| 369 | vec1(i, j) = 0. |
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| 370 | eignfnv(i, j) = 0. |
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| 371 | eignfnu(i, j) = 0. |
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| 372 | END DO |
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| 373 | END DO |
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| 374 | |
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| 375 | |
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| 376 | eignfnv(1, 1) = -1. |
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| 377 | eignfnv(iim, 1) = 1. |
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| 378 | DO i = 1, imm1 |
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| 379 | eignfnv(i + 1, i + 1) = -1. |
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| 380 | eignfnv(i, i + 1) = 1. |
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| 381 | END DO |
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| 382 | DO j = 1, iim |
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| 383 | DO i = 1, iim |
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| 384 | eignfnv(i, j) = eignfnv(i, j) / (sddu(i) * sddv(j)) |
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| 385 | END DO |
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| 386 | END DO |
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| 387 | DO j = 1, iim |
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| 388 | DO i = 1, iim |
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| 389 | eignfnu(i, j) = -eignfnv(j, i) |
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| 390 | END DO |
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| 391 | END DO |
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| 392 | |
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| 393 | DO j = 1, iim |
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| 394 | DO i = 1, iim |
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| 395 | vec (i, j) = 0.0 |
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| 396 | vec1(i, j) = 0.0 |
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| 397 | DO k = 1, iim |
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| 398 | vec (i, j) = vec(i, j) + eignfnu(i, k) * eignfnv(k, j) |
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| 399 | vec1(i, j) = vec1(i, j) + eignfnv(i, k) * eignfnu(k, j) |
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| 400 | ENDDO |
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| 401 | ENDDO |
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| 402 | ENDDO |
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| 403 | |
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| 404 | |
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| 405 | CALL jacobi(vec, iim, iim, dv, eignfnv, nrot) |
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| 406 | CALL acc(eignfnv, d, iim) |
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| 407 | CALL eigen_sort(dv, eignfnv, iim, iim) |
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| 408 | |
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| 409 | CALL jacobi(vec1, iim, iim, du, eignfnu, nrot) |
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| 410 | CALL acc(eignfnu, d, iim) |
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| 411 | CALL eigen_sort(du, eignfnu, iim, iim) |
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| 412 | |
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| 413 | !c ancienne version avec appels IMSL |
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| 414 | |
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| 415 | ! CALL MXM(eignfnu,iim,eignfnv,iim,vec,iim) |
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| 416 | ! CALL MXM(eignfnv,iim,eignfnu,iim,vec1,iim) |
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| 417 | ! CALL EVCSF(iim,vec,iim,dv,eignfnv,iim) |
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| 418 | ! CALL acc(eignfnv,d,iim) |
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| 419 | ! CALL eigen(eignfnv,dv) |
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| 420 | |
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| 421 | ! CALL EVCSF(iim,vec1,iim,du,eignfnu,iim) |
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| 422 | ! CALL acc(eignfnu,d,iim) |
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| 423 | ! CALL eigen(eignfnu,du) |
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| 424 | |
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| 425 | RETURN |
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| 426 | END SUBROUTINE inifgn |
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| 427 | |
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| 428 | SUBROUTINE JACOBI(A, N, NP, D, V, NROT) |
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| 429 | IMPLICIT NONE |
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| 430 | ! Arguments: |
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| 431 | INTEGER, INTENT(IN) :: N |
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| 432 | INTEGER, INTENT(IN) :: NP |
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| 433 | INTEGER, INTENT(OUT) :: NROT |
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| 434 | REAL, INTENT(INOUT) :: A(NP, NP) |
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| 435 | REAL, INTENT(OUT) :: D(NP) |
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| 436 | REAL, INTENT(OUT) :: V(NP, NP) |
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| 437 | |
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| 438 | ! local variables: |
|---|
| 439 | INTEGER :: IP, IQ, I, J |
|---|
| 440 | REAL :: SM, TRESH, G, H, T, THETA, C, S, TAU |
|---|
| 441 | REAL :: B(N) |
|---|
| 442 | REAL :: Z(N) |
|---|
| 443 | |
|---|
| 444 | DO IP = 1, N |
|---|
| 445 | DO IQ = 1, N |
|---|
| 446 | V(IP, IQ) = 0. |
|---|
| 447 | ENDDO |
|---|
| 448 | V(IP, IP) = 1. |
|---|
| 449 | ENDDO |
|---|
| 450 | DO IP = 1, N |
|---|
| 451 | B(IP) = A(IP, IP) |
|---|
| 452 | D(IP) = B(IP) |
|---|
| 453 | Z(IP) = 0. |
|---|
| 454 | ENDDO |
|---|
| 455 | NROT = 0 |
|---|
| 456 | DO I = 1, 50 ! 50? I suspect this should be NP |
|---|
| 457 | ! but convergence is fast enough anyway |
|---|
| 458 | SM = 0. |
|---|
| 459 | DO IP = 1, N - 1 |
|---|
| 460 | DO IQ = IP + 1, N |
|---|
| 461 | SM = SM + ABS(A(IP, IQ)) |
|---|
| 462 | ENDDO |
|---|
| 463 | ENDDO |
|---|
| 464 | IF(SM==0.)RETURN |
|---|
| 465 | IF(I<4)THEN |
|---|
| 466 | TRESH = 0.2 * SM / N**2 |
|---|
| 467 | ELSE |
|---|
| 468 | TRESH = 0. |
|---|
| 469 | ENDIF |
|---|
| 470 | DO IP = 1, N - 1 |
|---|
| 471 | DO IQ = IP + 1, N |
|---|
| 472 | G = 100. * ABS(A(IP, IQ)) |
|---|
| 473 | IF((I>4).AND.(ABS(D(IP)) + G==ABS(D(IP))) & |
|---|
| 474 | .AND.(ABS(D(IQ)) + G==ABS(D(IQ))))THEN |
|---|
| 475 | A(IP, IQ) = 0. |
|---|
| 476 | ELSE IF(ABS(A(IP, IQ))>TRESH)THEN |
|---|
| 477 | H = D(IQ) - D(IP) |
|---|
| 478 | IF(ABS(H) + G==ABS(H))THEN |
|---|
| 479 | T = A(IP, IQ) / H |
|---|
| 480 | ELSE |
|---|
| 481 | THETA = 0.5 * H / A(IP, IQ) |
|---|
| 482 | T = 1. / (ABS(THETA) + SQRT(1. + THETA**2)) |
|---|
| 483 | IF(THETA<0.)T = -T |
|---|
| 484 | ENDIF |
|---|
| 485 | C = 1. / SQRT(1 + T**2) |
|---|
| 486 | S = T * C |
|---|
| 487 | TAU = S / (1. + C) |
|---|
| 488 | H = T * A(IP, IQ) |
|---|
| 489 | Z(IP) = Z(IP) - H |
|---|
| 490 | Z(IQ) = Z(IQ) + H |
|---|
| 491 | D(IP) = D(IP) - H |
|---|
| 492 | D(IQ) = D(IQ) + H |
|---|
| 493 | A(IP, IQ) = 0. |
|---|
| 494 | DO J = 1, IP - 1 |
|---|
| 495 | G = A(J, IP) |
|---|
| 496 | H = A(J, IQ) |
|---|
| 497 | A(J, IP) = G - S * (H + G * TAU) |
|---|
| 498 | A(J, IQ) = H + S * (G - H * TAU) |
|---|
| 499 | ENDDO |
|---|
| 500 | DO J = IP + 1, IQ - 1 |
|---|
| 501 | G = A(IP, J) |
|---|
| 502 | H = A(J, IQ) |
|---|
| 503 | A(IP, J) = G - S * (H + G * TAU) |
|---|
| 504 | A(J, IQ) = H + S * (G - H * TAU) |
|---|
| 505 | ENDDO |
|---|
| 506 | DO J = IQ + 1, N |
|---|
| 507 | G = A(IP, J) |
|---|
| 508 | H = A(IQ, J) |
|---|
| 509 | A(IP, J) = G - S * (H + G * TAU) |
|---|
| 510 | A(IQ, J) = H + S * (G - H * TAU) |
|---|
| 511 | ENDDO |
|---|
| 512 | DO J = 1, N |
|---|
| 513 | G = V(J, IP) |
|---|
| 514 | H = V(J, IQ) |
|---|
| 515 | V(J, IP) = G - S * (H + G * TAU) |
|---|
| 516 | V(J, IQ) = H + S * (G - H * TAU) |
|---|
| 517 | ENDDO |
|---|
| 518 | NROT = NROT + 1 |
|---|
| 519 | ENDIF |
|---|
| 520 | ENDDO |
|---|
| 521 | ENDDO |
|---|
| 522 | DO IP = 1, N |
|---|
| 523 | B(IP) = B(IP) + Z(IP) |
|---|
| 524 | D(IP) = B(IP) |
|---|
| 525 | Z(IP) = 0. |
|---|
| 526 | ENDDO |
|---|
| 527 | ENDDO ! of DO I=1,50 |
|---|
| 528 | STOP 'Jacobi: 50 iterations should never happen' |
|---|
| 529 | |
|---|
| 530 | END SUBROUTINE JACOBI |
|---|
| 531 | |
|---|
| 532 | SUBROUTINE eigen_sort(d, v, n, np) |
|---|
| 533 | INTEGER :: n, np |
|---|
| 534 | REAL :: d(np), v(np, np) |
|---|
| 535 | INTEGER :: i, j, k |
|---|
| 536 | REAL :: p |
|---|
| 537 | |
|---|
| 538 | DO i = 1, n - 1 |
|---|
| 539 | k = i |
|---|
| 540 | p = d(i) |
|---|
| 541 | DO j = i + 1, n |
|---|
| 542 | IF(d(j)>=p) THEN |
|---|
| 543 | k = j |
|---|
| 544 | p = d(j) |
|---|
| 545 | ENDIF |
|---|
| 546 | ENDDO |
|---|
| 547 | |
|---|
| 548 | IF(k/=i) THEN |
|---|
| 549 | d(k) = d(i) |
|---|
| 550 | d(i) = p |
|---|
| 551 | DO j = 1, n |
|---|
| 552 | p = v(j, i) |
|---|
| 553 | v(j, i) = v(j, k) |
|---|
| 554 | v(j, k) = p |
|---|
| 555 | ENDDO |
|---|
| 556 | ENDIF |
|---|
| 557 | ENDDO |
|---|
| 558 | |
|---|
| 559 | RETURN |
|---|
| 560 | END SUBROUTINE eigen_sort |
|---|
| 561 | |
|---|
| 562 | SUBROUTINE acc(vec, d, im) |
|---|
| 563 | USE lmdz_ssum_scopy, ONLY: ssum |
|---|
| 564 | IMPLICIT NONE |
|---|
| 565 | INTEGER :: im |
|---|
| 566 | REAL :: vec(im, im), d(im) |
|---|
| 567 | INTEGER :: i, j |
|---|
| 568 | REAL :: sum |
|---|
| 569 | DO j = 1, im |
|---|
| 570 | DO i = 1, im |
|---|
| 571 | d(i) = vec(i, j) * vec(i, j) |
|---|
| 572 | enddo |
|---|
| 573 | sum = ssum(im, d, 1) |
|---|
| 574 | sum = sqrt(sum) |
|---|
| 575 | DO i = 1, im |
|---|
| 576 | vec(i, j) = vec(i, j) / sum |
|---|
| 577 | enddo |
|---|
| 578 | enddo |
|---|
| 579 | RETURN |
|---|
| 580 | END SUBROUTINE acc |
|---|
| 581 | |
|---|
| 582 | |
|---|
| 583 | SUBROUTINE inifilr |
|---|
| 584 | #ifdef CPP_PARA |
|---|
| 585 | USE lmdz_filtre_fft, ONLY: use_filtre_fft,Init_filtre_fft |
|---|
| 586 | USE lmdz_filtre_fft_loc, ONLY: Init_filtre_fft_loc=>Init_filtre_fft ! |
|---|
| 587 | #endif |
|---|
| 588 | USE serre_mod, ONLY: alphax |
|---|
| 589 | USE logic_mod, ONLY: fxyhypb, ysinus |
|---|
| 590 | USE comconst_mod, ONLY: maxlatfilter |
|---|
| 591 | USE lmdz_coefils, ONLY: modfrstv, modfrstu, jfiltnu, jfiltnv, coefilu, coefilv, & |
|---|
| 592 | coefilu2, coefilv2, eignfnv, eignfnu, jfiltsu, jfiltsv |
|---|
| 593 | USE lmdz_dimensions, ONLY: iim, jjm, llm, ndm |
|---|
| 594 | USE lmdz_comgeom |
|---|
| 595 | USE lmdz_paramet |
|---|
| 596 | |
|---|
| 597 | ! ... H. Upfiltreg_modadhyaya, O.Sharma ... |
|---|
| 598 | |
|---|
| 599 | ! version 3 ..... |
|---|
| 600 | |
|---|
| 601 | ! Correction le 28/10/97 P. Le Van . |
|---|
| 602 | ! ------------------------------------------------------------------- |
|---|
| 603 | |
|---|
| 604 | REAL dlonu(iim), dlatu(jjm) |
|---|
| 605 | REAL rlamda(iim), eignvl(iim) |
|---|
| 606 | |
|---|
| 607 | REAL lamdamax, pi, cof |
|---|
| 608 | INTEGER i, j, modemax, imx, k, kf, ii |
|---|
| 609 | REAL dymin, dxmin, colat0 |
|---|
| 610 | REAL eignft(iim, iim), coff |
|---|
| 611 | |
|---|
| 612 | LOGICAL, SAVE :: first_call_inifilr = .TRUE. |
|---|
| 613 | |
|---|
| 614 | INTEGER ISMIN |
|---|
| 615 | EXTERNAL ISMIN |
|---|
| 616 | INTEGER iymin |
|---|
| 617 | INTEGER ixmineq |
|---|
| 618 | |
|---|
| 619 | ! ------------------------------------------------------------ |
|---|
| 620 | ! This routine computes the eigenfunctions of the laplacien |
|---|
| 621 | ! on the stretched grid, and the filtering coefficients |
|---|
| 622 | |
|---|
| 623 | ! We designate: |
|---|
| 624 | ! eignfn eigenfunctions of the discrete laplacien |
|---|
| 625 | ! eigenvl eigenvalues |
|---|
| 626 | ! jfiltn indexof the last scalar line filtered in NH |
|---|
| 627 | ! jfilts index of the first line filtered in SH |
|---|
| 628 | ! modfrst index of the mode from WHERE modes are filtered |
|---|
| 629 | ! modemax maximum number of modes ( im ) |
|---|
| 630 | ! coefil filtering coefficients ( lamda_max*COS(rlat)/lamda ) |
|---|
| 631 | ! sdd SQRT( dx ) |
|---|
| 632 | |
|---|
| 633 | ! the modes are filtered from modfrst to modemax |
|---|
| 634 | |
|---|
| 635 | !----------------------------------------------------------- |
|---|
| 636 | |
|---|
| 637 | IF (iim == 1) return ! No filtre in 2D y-z |
|---|
| 638 | |
|---|
| 639 | pi = 2. * ASIN(1.) |
|---|
| 640 | |
|---|
| 641 | DO i = 1, iim |
|---|
| 642 | dlonu(i) = xprimu(i) |
|---|
| 643 | ENDDO |
|---|
| 644 | |
|---|
| 645 | CALL inifgn(eignvl) |
|---|
| 646 | |
|---|
| 647 | PRINT *, 'inifilr: EIGNVL ' |
|---|
| 648 | PRINT 250, eignvl |
|---|
| 649 | 250 FORMAT(1x, 5e14.6) |
|---|
| 650 | |
|---|
| 651 | ! compute eigenvalues and eigenfunctions |
|---|
| 652 | |
|---|
| 653 | |
|---|
| 654 | !................................................................. |
|---|
| 655 | |
|---|
| 656 | ! compute the filtering coefficients for scalar lines and |
|---|
| 657 | ! meridional wind v-lines |
|---|
| 658 | |
|---|
| 659 | ! we filter all those latitude lines WHERE coefil < 1 |
|---|
| 660 | ! NO FILTERING AT POLES |
|---|
| 661 | |
|---|
| 662 | ! colat0 is to be used when alpha (stretching coefficient) |
|---|
| 663 | ! is set equal to zero for the regular grid CASE |
|---|
| 664 | |
|---|
| 665 | ! ....... Calcul de colat0 ......... |
|---|
| 666 | ! ..... colat0 = minimum de ( 0.5, min dy/ min dx ) ... |
|---|
| 667 | |
|---|
| 668 | DO j = 1, jjm |
|---|
| 669 | dlatu(j) = rlatu(j) - rlatu(j + 1) |
|---|
| 670 | ENDDO |
|---|
| 671 | |
|---|
| 672 | dxmin = dlonu(1) |
|---|
| 673 | DO i = 2, iim |
|---|
| 674 | dxmin = MIN(dxmin, dlonu(i)) |
|---|
| 675 | ENDDO |
|---|
| 676 | dymin = dlatu(1) |
|---|
| 677 | DO j = 2, jjm |
|---|
| 678 | dymin = MIN(dymin, dlatu(j)) |
|---|
| 679 | ENDDO |
|---|
| 680 | |
|---|
| 681 | ! For a regular grid, we want the filter to start at latitudes |
|---|
| 682 | ! corresponding to lengths dx of the same size as dy (in terms |
|---|
| 683 | ! of angles: dx=2*dy) => at colat0=0.5 (i.e. colatitude=30 degrees |
|---|
| 684 | ! <=> latitude=60 degrees). |
|---|
| 685 | ! Same idea for the zoomed grid: start filtering polewards as soon |
|---|
| 686 | ! as length dx becomes of the same size as dy |
|---|
| 687 | |
|---|
| 688 | ! if maxlatfilter >0, prescribe the colat0 value from the .def files |
|---|
| 689 | |
|---|
| 690 | IF (maxlatfilter < 0.) THEN |
|---|
| 691 | |
|---|
| 692 | colat0 = MIN(0.5, dymin / dxmin) |
|---|
| 693 | ! colat0 = 1. |
|---|
| 694 | |
|---|
| 695 | IF(.NOT.fxyhypb.AND.ysinus) THEN |
|---|
| 696 | colat0 = 0.6 |
|---|
| 697 | ! ...... a revoir pour ysinus ! ....... |
|---|
| 698 | alphax = 0. |
|---|
| 699 | ENDIF |
|---|
| 700 | |
|---|
| 701 | ELSE |
|---|
| 702 | |
|---|
| 703 | colat0 = (90.0 - maxlatfilter) / 180.0 * pi |
|---|
| 704 | |
|---|
| 705 | ENDIF |
|---|
| 706 | |
|---|
| 707 | PRINT 50, colat0, alphax |
|---|
| 708 | 50 FORMAT(/15x, ' Inifilr colat0 alphax ', 2e16.7) |
|---|
| 709 | |
|---|
| 710 | IF(alphax==1.) THEN |
|---|
| 711 | PRINT *, ' Inifilr alphax doit etre < a 1. Corriger ' |
|---|
| 712 | STOP |
|---|
| 713 | ENDIF |
|---|
| 714 | |
|---|
| 715 | lamdamax = iim / (pi * colat0 * (1. - alphax)) |
|---|
| 716 | |
|---|
| 717 | ! ... Correction le 28/10/97 ( P.Le Van ) .. |
|---|
| 718 | |
|---|
| 719 | DO i = 2, iim |
|---|
| 720 | rlamda(i) = lamdamax / SQRT(ABS(eignvl(i))) |
|---|
| 721 | ENDDO |
|---|
| 722 | |
|---|
| 723 | DO j = 1, jjm |
|---|
| 724 | DO i = 1, iim |
|---|
| 725 | coefilu(i, j) = 0.0 |
|---|
| 726 | coefilv(i, j) = 0.0 |
|---|
| 727 | coefilu2(i, j) = 0.0 |
|---|
| 728 | coefilv2(i, j) = 0.0 |
|---|
| 729 | ENDDO |
|---|
| 730 | ENDDO |
|---|
| 731 | |
|---|
| 732 | ! ... Determination de jfiltnu,jfiltnv,jfiltsu,jfiltsv .... |
|---|
| 733 | ! ......................................................... |
|---|
| 734 | |
|---|
| 735 | modemax = iim |
|---|
| 736 | |
|---|
| 737 | !!!! imx = modemax - 4 * (modemax/iim) |
|---|
| 738 | |
|---|
| 739 | imx = iim |
|---|
| 740 | |
|---|
| 741 | PRINT *, 'inifilr: TRUNCATION AT ', imx |
|---|
| 742 | |
|---|
| 743 | ! Ehouarn: set up some defaults |
|---|
| 744 | jfiltnu = 2 ! avoid north pole |
|---|
| 745 | jfiltsu = jjm ! avoid south pole (which is at jjm+1) |
|---|
| 746 | jfiltnv = 1 ! NB: no poles on the V grid |
|---|
| 747 | jfiltsv = jjm |
|---|
| 748 | |
|---|
| 749 | DO j = 2, jjm / 2 + 1 |
|---|
| 750 | cof = COS(rlatu(j)) / colat0 |
|---|
| 751 | IF (cof < 1.) THEN |
|---|
| 752 | IF(rlamda(imx) * COS(rlatu(j))<1.) THEN |
|---|
| 753 | jfiltnu = j |
|---|
| 754 | ENDIF |
|---|
| 755 | ENDIF |
|---|
| 756 | |
|---|
| 757 | cof = COS(rlatu(jjp1 - j + 1)) / colat0 |
|---|
| 758 | IF (cof < 1.) THEN |
|---|
| 759 | IF(rlamda(imx) * COS(rlatu(jjp1 - j + 1))<1.) THEN |
|---|
| 760 | jfiltsu = jjp1 - j + 1 |
|---|
| 761 | ENDIF |
|---|
| 762 | ENDIF |
|---|
| 763 | ENDDO |
|---|
| 764 | |
|---|
| 765 | DO j = 1, jjm / 2 |
|---|
| 766 | cof = COS(rlatv(j)) / colat0 |
|---|
| 767 | IF (cof < 1.) THEN |
|---|
| 768 | IF(rlamda(imx) * COS(rlatv(j))<1.) THEN |
|---|
| 769 | jfiltnv = j |
|---|
| 770 | ENDIF |
|---|
| 771 | ENDIF |
|---|
| 772 | |
|---|
| 773 | cof = COS(rlatv(jjm - j + 1)) / colat0 |
|---|
| 774 | IF (cof < 1.) THEN |
|---|
| 775 | IF(rlamda(imx) * COS(rlatv(jjm - j + 1))<1.) THEN |
|---|
| 776 | jfiltsv = jjm - j + 1 |
|---|
| 777 | ENDIF |
|---|
| 778 | ENDIF |
|---|
| 779 | ENDDO |
|---|
| 780 | |
|---|
| 781 | IF(jfiltnu> jjm / 2 + 1) THEN |
|---|
| 782 | PRINT *, ' jfiltnu en dehors des valeurs acceptables ', jfiltnu |
|---|
| 783 | STOP |
|---|
| 784 | ENDIF |
|---|
| 785 | |
|---|
| 786 | IF(jfiltsu> jjm + 1) THEN |
|---|
| 787 | PRINT *, ' jfiltsu en dehors des valeurs acceptables ', jfiltsu |
|---|
| 788 | STOP |
|---|
| 789 | ENDIF |
|---|
| 790 | |
|---|
| 791 | IF(jfiltnv> jjm / 2) THEN |
|---|
| 792 | PRINT *, ' jfiltnv en dehors des valeurs acceptables ', jfiltnv |
|---|
| 793 | STOP |
|---|
| 794 | ENDIF |
|---|
| 795 | |
|---|
| 796 | IF(jfiltsv> jjm) THEN |
|---|
| 797 | PRINT *, ' jfiltsv en dehors des valeurs acceptables ', jfiltsv |
|---|
| 798 | STOP |
|---|
| 799 | ENDIF |
|---|
| 800 | |
|---|
| 801 | PRINT *, 'inifilr: jfiltnv jfiltsv jfiltnu jfiltsu ', & |
|---|
| 802 | jfiltnv, jfiltsv, jfiltnu, jfiltsu |
|---|
| 803 | |
|---|
| 804 | IF(first_call_inifilr) THEN |
|---|
| 805 | ALLOCATE(matriceun(iim, iim, jfiltnu)) |
|---|
| 806 | ALLOCATE(matriceus(iim, iim, jjm - jfiltsu + 1)) |
|---|
| 807 | ALLOCATE(matricevn(iim, iim, jfiltnv)) |
|---|
| 808 | ALLOCATE(matricevs(iim, iim, jjm - jfiltsv + 1)) |
|---|
| 809 | ALLOCATE(matrinvn(iim, iim, jfiltnu)) |
|---|
| 810 | ALLOCATE(matrinvs(iim, iim, jjm - jfiltsu + 1)) |
|---|
| 811 | first_call_inifilr = .FALSE. |
|---|
| 812 | ENDIF |
|---|
| 813 | |
|---|
| 814 | ! ... Determination de coefilu,coefilv,n=modfrstu,modfrstv .... |
|---|
| 815 | !................................................................ |
|---|
| 816 | |
|---|
| 817 | DO j = 1, jjm |
|---|
| 818 | !default initialization: all modes are retained (i.e. no filtering) |
|---|
| 819 | modfrstu(j) = iim |
|---|
| 820 | modfrstv(j) = iim |
|---|
| 821 | ENDDO |
|---|
| 822 | |
|---|
| 823 | DO j = 2, jfiltnu |
|---|
| 824 | DO k = 2, modemax |
|---|
| 825 | cof = rlamda(k) * COS(rlatu(j)) |
|---|
| 826 | IF (cof < 1.) GOTO 82 |
|---|
| 827 | ENDDO |
|---|
| 828 | GOTO 84 |
|---|
| 829 | 82 modfrstu(j) = k |
|---|
| 830 | |
|---|
| 831 | kf = modfrstu(j) |
|---|
| 832 | DO k = kf, modemax |
|---|
| 833 | cof = rlamda(k) * COS(rlatu(j)) |
|---|
| 834 | coefilu(k, j) = cof - 1. |
|---|
| 835 | coefilu2(k, j) = cof * cof - 1. |
|---|
| 836 | ENDDO |
|---|
| 837 | 84 CONTINUE |
|---|
| 838 | ENDDO |
|---|
| 839 | |
|---|
| 840 | DO j = 1, jfiltnv |
|---|
| 841 | |
|---|
| 842 | DO k = 2, modemax |
|---|
| 843 | cof = rlamda(k) * COS(rlatv(j)) |
|---|
| 844 | IF (cof < 1.) GOTO 87 |
|---|
| 845 | ENDDO |
|---|
| 846 | GOTO 89 |
|---|
| 847 | 87 modfrstv(j) = k |
|---|
| 848 | |
|---|
| 849 | kf = modfrstv(j) |
|---|
| 850 | DO k = kf, modemax |
|---|
| 851 | cof = rlamda(k) * COS(rlatv(j)) |
|---|
| 852 | coefilv(k, j) = cof - 1. |
|---|
| 853 | coefilv2(k, j) = cof * cof - 1. |
|---|
| 854 | ENDDO |
|---|
| 855 | 89 CONTINUE |
|---|
| 856 | ENDDO |
|---|
| 857 | |
|---|
| 858 | DO j = jfiltsu, jjm |
|---|
| 859 | DO k = 2, modemax |
|---|
| 860 | cof = rlamda(k) * COS(rlatu(j)) |
|---|
| 861 | IF (cof < 1.) GOTO 92 |
|---|
| 862 | ENDDO |
|---|
| 863 | GOTO 94 |
|---|
| 864 | 92 modfrstu(j) = k |
|---|
| 865 | |
|---|
| 866 | kf = modfrstu(j) |
|---|
| 867 | DO k = kf, modemax |
|---|
| 868 | cof = rlamda(k) * COS(rlatu(j)) |
|---|
| 869 | coefilu(k, j) = cof - 1. |
|---|
| 870 | coefilu2(k, j) = cof * cof - 1. |
|---|
| 871 | ENDDO |
|---|
| 872 | 94 CONTINUE |
|---|
| 873 | ENDDO |
|---|
| 874 | |
|---|
| 875 | DO j = jfiltsv, jjm |
|---|
| 876 | DO k = 2, modemax |
|---|
| 877 | cof = rlamda(k) * COS(rlatv(j)) |
|---|
| 878 | IF (cof < 1.) GOTO 97 |
|---|
| 879 | ENDDO |
|---|
| 880 | GOTO 99 |
|---|
| 881 | 97 modfrstv(j) = k |
|---|
| 882 | |
|---|
| 883 | kf = modfrstv(j) |
|---|
| 884 | DO k = kf, modemax |
|---|
| 885 | cof = rlamda(k) * COS(rlatv(j)) |
|---|
| 886 | coefilv(k, j) = cof - 1. |
|---|
| 887 | coefilv2(k, j) = cof * cof - 1. |
|---|
| 888 | ENDDO |
|---|
| 889 | 99 CONTINUE |
|---|
| 890 | ENDDO |
|---|
| 891 | |
|---|
| 892 | IF(jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2)THEN |
|---|
| 893 | ! Ehouarn: and what are these for??? Trying to handle a limit case |
|---|
| 894 | ! where filters extend to and meet at the equator? |
|---|
| 895 | IF(jfiltnv==jfiltsv)jfiltsv = 1 + jfiltnv |
|---|
| 896 | IF(jfiltnu==jfiltsu)jfiltsu = 1 + jfiltnu |
|---|
| 897 | |
|---|
| 898 | PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', & |
|---|
| 899 | jfiltnv, jfiltsv, jfiltnu, jfiltsu |
|---|
| 900 | ENDIF |
|---|
| 901 | |
|---|
| 902 | PRINT *, ' Modes premiers v ' |
|---|
| 903 | PRINT 334, modfrstv |
|---|
| 904 | PRINT *, ' Modes premiers u ' |
|---|
| 905 | PRINT 334, modfrstu |
|---|
| 906 | |
|---|
| 907 | ! ................................................................... |
|---|
| 908 | |
|---|
| 909 | ! ... Calcul de la matrice filtre 'matriceu' pour les champs situes |
|---|
| 910 | ! sur la grille scalaire ........ |
|---|
| 911 | ! ................................................................... |
|---|
| 912 | |
|---|
| 913 | DO j = 2, jfiltnu |
|---|
| 914 | |
|---|
| 915 | DO i = 1, iim |
|---|
| 916 | coff = coefilu(i, j) |
|---|
| 917 | IF(i<modfrstu(j)) coff = 0. |
|---|
| 918 | DO k = 1, iim |
|---|
| 919 | eignft(i, k) = eignfnv(k, i) * coff |
|---|
| 920 | ENDDO |
|---|
| 921 | ENDDO ! of DO i=1,iim |
|---|
| 922 | |
|---|
| 923 | #ifdef BLAS |
|---|
| 924 | CALL SGEMM ('N', 'N', iim, iim, iim, 1.0, & |
|---|
| 925 | eignfnv, iim, eignft, iim, 0.0, matriceun(1,1,j), iim) |
|---|
| 926 | #else |
|---|
| 927 | DO k = 1, iim |
|---|
| 928 | DO i = 1, iim |
|---|
| 929 | matriceun(i, k, j) = 0.0 |
|---|
| 930 | DO ii = 1, iim |
|---|
| 931 | matriceun(i, k, j) = matriceun(i, k, j) & |
|---|
| 932 | + eignfnv(i, ii) * eignft(ii, k) |
|---|
| 933 | ENDDO |
|---|
| 934 | ENDDO |
|---|
| 935 | ENDDO ! of DO k = 1, iim |
|---|
| 936 | #endif |
|---|
| 937 | |
|---|
| 938 | ENDDO ! of DO j = 2, jfiltnu |
|---|
| 939 | |
|---|
| 940 | DO j = jfiltsu, jjm |
|---|
| 941 | |
|---|
| 942 | DO i = 1, iim |
|---|
| 943 | coff = coefilu(i, j) |
|---|
| 944 | IF(i<modfrstu(j)) coff = 0. |
|---|
| 945 | DO k = 1, iim |
|---|
| 946 | eignft(i, k) = eignfnv(k, i) * coff |
|---|
| 947 | ENDDO |
|---|
| 948 | ENDDO ! of DO i=1,iim |
|---|
| 949 | #ifdef BLAS |
|---|
| 950 | CALL SGEMM ('N', 'N', iim, iim, iim, 1.0, & |
|---|
| 951 | eignfnv, iim, eignft, iim, 0.0, & |
|---|
| 952 | matriceus(1,1,j-jfiltsu+1), iim) |
|---|
| 953 | #else |
|---|
| 954 | DO k = 1, iim |
|---|
| 955 | DO i = 1, iim |
|---|
| 956 | matriceus(i, k, j - jfiltsu + 1) = 0.0 |
|---|
| 957 | DO ii = 1, iim |
|---|
| 958 | matriceus(i, k, j - jfiltsu + 1) = matriceus(i, k, j - jfiltsu + 1) & |
|---|
| 959 | + eignfnv(i, ii) * eignft(ii, k) |
|---|
| 960 | ENDDO |
|---|
| 961 | ENDDO |
|---|
| 962 | ENDDO ! of DO k = 1, iim |
|---|
| 963 | #endif |
|---|
| 964 | |
|---|
| 965 | ENDDO ! of DO j = jfiltsu, jjm |
|---|
| 966 | |
|---|
| 967 | ! ................................................................... |
|---|
| 968 | |
|---|
| 969 | ! ... Calcul de la matrice filtre 'matricev' pour les champs situes |
|---|
| 970 | ! sur la grille de V ou de Z ........ |
|---|
| 971 | ! ................................................................... |
|---|
| 972 | |
|---|
| 973 | DO j = 1, jfiltnv |
|---|
| 974 | |
|---|
| 975 | DO i = 1, iim |
|---|
| 976 | coff = coefilv(i, j) |
|---|
| 977 | IF(i<modfrstv(j)) coff = 0. |
|---|
| 978 | DO k = 1, iim |
|---|
| 979 | eignft(i, k) = eignfnu(k, i) * coff |
|---|
| 980 | ENDDO |
|---|
| 981 | ENDDO |
|---|
| 982 | |
|---|
| 983 | #ifdef BLAS |
|---|
| 984 | CALL SGEMM ('N', 'N', iim, iim, iim, 1.0, & |
|---|
| 985 | eignfnu, iim, eignft, iim, 0.0, matricevn(1,1,j), iim) |
|---|
| 986 | #else |
|---|
| 987 | DO k = 1, iim |
|---|
| 988 | DO i = 1, iim |
|---|
| 989 | matricevn(i, k, j) = 0.0 |
|---|
| 990 | DO ii = 1, iim |
|---|
| 991 | matricevn(i, k, j) = matricevn(i, k, j) & |
|---|
| 992 | + eignfnu(i, ii) * eignft(ii, k) |
|---|
| 993 | ENDDO |
|---|
| 994 | ENDDO |
|---|
| 995 | ENDDO |
|---|
| 996 | #endif |
|---|
| 997 | |
|---|
| 998 | ENDDO ! of DO j = 1, jfiltnv |
|---|
| 999 | |
|---|
| 1000 | DO j = jfiltsv, jjm |
|---|
| 1001 | |
|---|
| 1002 | DO i = 1, iim |
|---|
| 1003 | coff = coefilv(i, j) |
|---|
| 1004 | IF(i<modfrstv(j)) coff = 0. |
|---|
| 1005 | DO k = 1, iim |
|---|
| 1006 | eignft(i, k) = eignfnu(k, i) * coff |
|---|
| 1007 | ENDDO |
|---|
| 1008 | ENDDO |
|---|
| 1009 | |
|---|
| 1010 | #ifdef BLAS |
|---|
| 1011 | CALL SGEMM ('N', 'N', iim, iim, iim, 1.0, & |
|---|
| 1012 | eignfnu, iim, eignft, iim, 0.0, & |
|---|
| 1013 | matricevs(1,1,j-jfiltsv+1), iim) |
|---|
| 1014 | #else |
|---|
| 1015 | DO k = 1, iim |
|---|
| 1016 | DO i = 1, iim |
|---|
| 1017 | matricevs(i, k, j - jfiltsv + 1) = 0.0 |
|---|
| 1018 | DO ii = 1, iim |
|---|
| 1019 | matricevs(i, k, j - jfiltsv + 1) = matricevs(i, k, j - jfiltsv + 1) & |
|---|
| 1020 | + eignfnu(i, ii) * eignft(ii, k) |
|---|
| 1021 | ENDDO |
|---|
| 1022 | ENDDO |
|---|
| 1023 | ENDDO |
|---|
| 1024 | #endif |
|---|
| 1025 | |
|---|
| 1026 | ENDDO ! of DO j = jfiltsv, jjm |
|---|
| 1027 | |
|---|
| 1028 | ! ................................................................... |
|---|
| 1029 | |
|---|
| 1030 | ! ... Calcul de la matrice filtre 'matrinv' pour les champs situes |
|---|
| 1031 | ! sur la grille scalaire , pour le filtre inverse ........ |
|---|
| 1032 | ! ................................................................... |
|---|
| 1033 | |
|---|
| 1034 | DO j = 2, jfiltnu |
|---|
| 1035 | |
|---|
| 1036 | DO i = 1, iim |
|---|
| 1037 | coff = coefilu(i, j) / (1. + coefilu(i, j)) |
|---|
| 1038 | IF(i<modfrstu(j)) coff = 0. |
|---|
| 1039 | DO k = 1, iim |
|---|
| 1040 | eignft(i, k) = eignfnv(k, i) * coff |
|---|
| 1041 | ENDDO |
|---|
| 1042 | ENDDO |
|---|
| 1043 | |
|---|
| 1044 | #ifdef BLAS |
|---|
| 1045 | CALL SGEMM ('N', 'N', iim, iim, iim, 1.0, & |
|---|
| 1046 | eignfnv, iim, eignft, iim, 0.0, matrinvn(1,1,j), iim) |
|---|
| 1047 | #else |
|---|
| 1048 | DO k = 1, iim |
|---|
| 1049 | DO i = 1, iim |
|---|
| 1050 | matrinvn(i, k, j) = 0.0 |
|---|
| 1051 | DO ii = 1, iim |
|---|
| 1052 | matrinvn(i, k, j) = matrinvn(i, k, j) & |
|---|
| 1053 | + eignfnv(i, ii) * eignft(ii, k) |
|---|
| 1054 | ENDDO |
|---|
| 1055 | ENDDO |
|---|
| 1056 | ENDDO |
|---|
| 1057 | #endif |
|---|
| 1058 | |
|---|
| 1059 | ENDDO ! of DO j = 2, jfiltnu |
|---|
| 1060 | |
|---|
| 1061 | DO j = jfiltsu, jjm |
|---|
| 1062 | |
|---|
| 1063 | DO i = 1, iim |
|---|
| 1064 | coff = coefilu(i, j) / (1. + coefilu(i, j)) |
|---|
| 1065 | IF(i<modfrstu(j)) coff = 0. |
|---|
| 1066 | DO k = 1, iim |
|---|
| 1067 | eignft(i, k) = eignfnv(k, i) * coff |
|---|
| 1068 | ENDDO |
|---|
| 1069 | ENDDO |
|---|
| 1070 | #ifdef BLAS |
|---|
| 1071 | CALL SGEMM ('N', 'N', iim, iim, iim, 1.0, & |
|---|
| 1072 | eignfnv, iim, eignft, iim, 0.0, matrinvs(1,1,j-jfiltsu+1), iim) |
|---|
| 1073 | #else |
|---|
| 1074 | DO k = 1, iim |
|---|
| 1075 | DO i = 1, iim |
|---|
| 1076 | matrinvs(i, k, j - jfiltsu + 1) = 0.0 |
|---|
| 1077 | DO ii = 1, iim |
|---|
| 1078 | matrinvs(i, k, j - jfiltsu + 1) = matrinvs(i, k, j - jfiltsu + 1) & |
|---|
| 1079 | + eignfnv(i, ii) * eignft(ii, k) |
|---|
| 1080 | ENDDO |
|---|
| 1081 | ENDDO |
|---|
| 1082 | ENDDO |
|---|
| 1083 | #endif |
|---|
| 1084 | |
|---|
| 1085 | ENDDO ! of DO j = jfiltsu, jjm |
|---|
| 1086 | |
|---|
| 1087 | #ifdef CPP_PARA |
|---|
| 1088 | IF (use_filtre_fft) THEN |
|---|
| 1089 | CALL Init_filtre_fft(coefilu,modfrstu,jfiltnu,jfiltsu, & |
|---|
| 1090 | coefilv,modfrstv,jfiltnv,jfiltsv) |
|---|
| 1091 | CALL Init_filtre_fft_loc(coefilu,modfrstu,jfiltnu,jfiltsu, & |
|---|
| 1092 | coefilv,modfrstv,jfiltnv,jfiltsv) |
|---|
| 1093 | ENDIF |
|---|
| 1094 | #endif |
|---|
| 1095 | ! ................................................................... |
|---|
| 1096 | |
|---|
| 1097 | 334 FORMAT(1x, 24i3) |
|---|
| 1098 | |
|---|
| 1099 | END SUBROUTINE inifilr |
|---|
| 1100 | |
|---|
| 1101 | END MODULE lmdz_filtreg |
|---|
