[330] | 1 | c |
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| 2 | c $Header$ |
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| 3 | c |
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[2] | 4 | SUBROUTINE fxhyp ( xzoomdeg,grossism,dzoom,tau , |
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[232] | 5 | , rlonm025,xprimm025,rlonv,xprimv,rlonu,xprimu,rlonp025,xprimp025, |
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| 6 | , champmin,champmax ) |
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[2] | 7 | |
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| 8 | c Auteur : P. Le Van |
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| 9 | |
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| 10 | IMPLICIT NONE |
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| 11 | |
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| 12 | c Calcule les longitudes et derivees dans la grille du GCM pour une |
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| 13 | c fonction f(x) a tangente hyperbolique . |
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| 14 | c |
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| 15 | c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois,etc.) |
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| 16 | c dzoom etant la distance totale de la zone du zoom |
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[232] | 17 | c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
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[2] | 18 | c |
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[232] | 19 | c On doit avoir grossism x dzoom < pi ( radians ) , en longitude. |
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| 20 | c ******************************************************************** |
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[2] | 21 | |
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[232] | 22 | |
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[2] | 23 | INTEGER nmax, nmax2 |
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[232] | 24 | PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
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[330] | 25 | c |
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| 26 | LOGICAL scal180 |
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| 27 | PARAMETER ( scal180 = .TRUE. ) |
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[2] | 28 | |
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[330] | 29 | c scal180 = .TRUE. si on veut avoir le premier point scalaire pour |
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| 30 | c une grille reguliere ( grossism = 1.,tau=0.,clon=0. ) a -180. degres. |
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| 31 | c sinon scal180 = .FALSE. |
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| 32 | |
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[2] | 33 | #include "dimensions.h" |
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| 34 | #include "paramet.h" |
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| 35 | |
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| 36 | c ...... arguments d'entree ....... |
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| 37 | c |
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| 38 | REAL xzoomdeg,dzoom,tau,grossism |
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[232] | 39 | |
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| 40 | c ...... arguments de sortie ...... |
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| 41 | |
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[2] | 42 | REAL rlonm025(iip1),xprimm025(iip1),rlonv(iip1),xprimv(iip1), |
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| 43 | , rlonu(iip1),xprimu(iip1),rlonp025(iip1),xprimp025(iip1) |
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| 44 | |
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[232] | 45 | c .... variables locales .... |
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[2] | 46 | c |
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[232] | 47 | REAL*8 xlon(iip1),xprimm(iip1),xuv |
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| 48 | REAL*8 xtild(0:nmax2) |
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| 49 | REAL*8 fhyp(0:nmax2),ffdx,beta,Xprimt(0:nmax2) |
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| 50 | REAL*8 Xf(0:nmax2),xxpr(0:nmax2) |
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| 51 | REAL*8 xvrai(iip1),xxprim(iip1) |
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| 52 | REAL*8 pi,depi,epsilon,xzoom,fa,fb |
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| 53 | REAL*8 Xf1, Xfi , a0,a1,a2,a3,xi2 |
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[330] | 54 | INTEGER i,it,ik,iter,ii,idif,ii1,ii2 |
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[232] | 55 | REAL*8 xi,xo1,xmoy,xlon2,fxm,Xprimin |
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[330] | 56 | REAL*8 champmin,champmax,decalx |
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[2] | 57 | INTEGER is2 |
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| 58 | SAVE is2 |
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| 59 | |
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[232] | 60 | REAL*8 heavyside |
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| 61 | EXTERNAL coefpoly,heavyside |
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| 62 | |
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[2] | 63 | pi = 2. * ASIN(1.) |
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| 64 | depi = 2. * pi |
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[232] | 65 | epsilon = 1.e-3 |
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[2] | 66 | xzoom = xzoomdeg * pi/180. |
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[330] | 67 | c |
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| 68 | decalx = .75 |
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| 69 | IF( grossism.EQ.1..AND.scal180 ) THEN |
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| 70 | decalx = 1. |
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| 71 | ENDIF |
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[2] | 72 | |
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[330] | 73 | WRITE(6,*) 'FXHYP scal180,decalx', scal180,decalx |
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| 74 | c |
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[232] | 75 | IF( dzoom.LT.1.) THEN |
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| 76 | dzoom = dzoom * depi |
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| 77 | ELSEIF( dzoom.LT. 25. ) THEN |
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| 78 | WRITE(6,*) ' Le param. dzoomy pour fxhyp est trop petit ! L aug |
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| 79 | ,menter et relancer ! ' |
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| 80 | STOP 1 |
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| 81 | ELSE |
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| 82 | dzoom = dzoom * pi/180. |
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| 83 | ENDIF |
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[2] | 84 | |
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[232] | 85 | WRITE(6,*) ' xzoom( rad.),grossism,tau,dzoom (radians)' |
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| 86 | WRITE(6,24) xzoom,grossism,tau,dzoom |
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[2] | 87 | |
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| 88 | DO i = 0, nmax2 |
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[232] | 89 | xtild(i) = - pi + FLOAT(i) * depi /nmax2 |
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[2] | 90 | ENDDO |
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| 91 | |
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[330] | 92 | DO i = nmax, nmax2 |
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[232] | 93 | |
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| 94 | fa = tau* ( dzoom/2. - xtild(i) ) |
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| 95 | fb = xtild(i) * ( pi - xtild(i) ) |
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| 96 | |
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[242] | 97 | IF( 200.* fb .LT. - fa ) THEN |
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| 98 | fhyp ( i) = - 1. |
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| 99 | ELSEIF( 200. * fb .LT. fa ) THEN |
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| 100 | fhyp ( i) = 1. |
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| 101 | ELSE |
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[330] | 102 | IF( ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN |
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| 103 | IF( 200.*fb + fa.LT.1.e-10 ) THEN |
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| 104 | fhyp ( i ) = - 1. |
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| 105 | ELSEIF( 200.*fb - fa.LT.1.e-10 ) THEN |
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| 106 | fhyp ( i ) = 1. |
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| 107 | ENDIF |
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| 108 | ELSE |
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| 109 | fhyp ( i ) = TANH ( fa/fb ) |
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| 110 | ENDIF |
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[242] | 111 | ENDIF |
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[330] | 112 | IF ( xtild(i).EQ. 0. ) fhyp(i) = 1. |
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| 113 | IF ( xtild(i).EQ. pi ) fhyp(i) = -1. |
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[232] | 114 | |
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[2] | 115 | ENDDO |
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| 116 | |
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| 117 | cc .... Calcul de beta .... |
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| 118 | |
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[232] | 119 | ffdx = 0. |
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| 120 | |
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| 121 | DO i = nmax +1,nmax2 |
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| 122 | |
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| 123 | xmoy = 0.5 * ( xtild(i-1) + xtild( i ) ) |
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| 124 | fa = tau* ( dzoom/2. - xmoy ) |
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| 125 | fb = xmoy * ( pi - xmoy ) |
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| 126 | |
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| 127 | IF( 200.* fb .LT. - fa ) THEN |
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| 128 | fxm = - 1. |
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| 129 | ELSEIF( 200. * fb .LT. fa ) THEN |
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| 130 | fxm = 1. |
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| 131 | ELSE |
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[330] | 132 | IF( ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN |
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| 133 | IF( 200.*fb + fa.LT.1.e-10 ) THEN |
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| 134 | fxm = - 1. |
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| 135 | ELSEIF( 200.*fb - fa.LT.1.e-10 ) THEN |
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| 136 | fxm = 1. |
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| 137 | ENDIF |
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| 138 | ELSE |
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| 139 | fxm = TANH ( fa/fb ) |
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| 140 | ENDIF |
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[232] | 141 | ENDIF |
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| 142 | |
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[330] | 143 | IF ( xmoy.EQ. 0. ) fxm = 1. |
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| 144 | IF ( xmoy.EQ. pi ) fxm = -1. |
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| 145 | |
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[232] | 146 | ffdx = ffdx + fxm * ( xtild(i) - xtild(i-1) ) |
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| 147 | |
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[2] | 148 | ENDDO |
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| 149 | |
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[232] | 150 | beta = ( grossism * ffdx - pi ) / ( ffdx - pi ) |
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| 151 | |
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| 152 | IF( 2.*beta - grossism.LE. 0.) THEN |
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| 153 | WRITE(6,*) ' ** Attention ! La valeur beta calculee dans la rou |
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| 154 | ,tine fxhyp est mauvaise ! ' |
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| 155 | WRITE(6,*)'Modifier les valeurs de grossismx ,tau ou dzoomx ', |
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| 156 | , ' et relancer ! *** ' |
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| 157 | CALL ABORT |
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| 158 | ENDIF |
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[2] | 159 | c |
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| 160 | c ..... calcul de Xprimt ..... |
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| 161 | c |
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| 162 | |
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[232] | 163 | DO i = nmax, nmax2 |
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[2] | 164 | Xprimt(i) = beta + ( grossism - beta ) * fhyp(i) |
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| 165 | ENDDO |
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| 166 | c |
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[232] | 167 | DO i = nmax+1, nmax2 |
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[2] | 168 | Xprimt( nmax2 - i ) = Xprimt( i ) |
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| 169 | ENDDO |
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| 170 | c |
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| 171 | |
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| 172 | c ..... Calcul de Xf ........ |
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| 173 | |
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[232] | 174 | Xf(0) = - pi |
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| 175 | |
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| 176 | DO i = nmax +1, nmax2 |
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| 177 | |
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| 178 | xmoy = 0.5 * ( xtild(i-1) + xtild( i ) ) |
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| 179 | fa = tau* ( dzoom/2. - xmoy ) |
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| 180 | fb = xmoy * ( pi - xmoy ) |
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| 181 | |
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| 182 | IF( 200.* fb .LT. - fa ) THEN |
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| 183 | fxm = - 1. |
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| 184 | ELSEIF( 200. * fb .LT. fa ) THEN |
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| 185 | fxm = 1. |
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| 186 | ELSE |
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| 187 | fxm = TANH ( fa/fb ) |
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| 188 | ENDIF |
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| 189 | |
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| 190 | IF ( xmoy.EQ. 0. ) fxm = 1. |
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| 191 | IF ( xmoy.EQ. pi ) fxm = -1. |
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| 192 | xxpr(i) = beta + ( grossism - beta ) * fxm |
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| 193 | |
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[2] | 194 | ENDDO |
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| 195 | |
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[232] | 196 | DO i = nmax+1, nmax2 |
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| 197 | xxpr(nmax2-i+1) = xxpr(i) |
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[2] | 198 | ENDDO |
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| 199 | |
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| 200 | DO i=1,nmax2 |
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| 201 | Xf(i) = Xf(i-1) + xxpr(i) * ( xtild(i) - xtild(i-1) ) |
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| 202 | ENDDO |
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| 203 | |
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| 204 | |
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| 205 | c ***************************************************************** |
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| 206 | c |
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| 207 | |
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| 208 | c ..... xuv = 0. si calcul aux pts scalaires ........ |
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| 209 | c ..... xuv = 0.5 si calcul aux pts U ........ |
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| 210 | c |
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[232] | 211 | WRITE(6,18) |
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[2] | 212 | c |
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| 213 | DO 5000 ik = 1, 4 |
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| 214 | |
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| 215 | IF( ik.EQ.1 ) THEN |
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[330] | 216 | xuv = -0.25 |
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[2] | 217 | ELSE IF ( ik.EQ.2 ) THEN |
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| 218 | xuv = 0. |
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| 219 | ELSE IF ( ik.EQ.3 ) THEN |
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[330] | 220 | xuv = 0.50 |
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[2] | 221 | ELSE IF ( ik.EQ.4 ) THEN |
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| 222 | xuv = 0.25 |
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| 223 | ENDIF |
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| 224 | |
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[232] | 225 | xo1 = 0. |
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[2] | 226 | |
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[330] | 227 | ii1=1 |
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| 228 | ii2=iim |
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| 229 | IF(ik.EQ.1.and.grossism.EQ.1.) THEN |
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| 230 | ii1 = 2 |
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| 231 | ii2 = iim+1 |
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| 232 | ENDIF |
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| 233 | DO 1500 i = ii1, ii2 |
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[2] | 234 | |
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[330] | 235 | xlon2 = - pi + (FLOAT(i) + xuv - decalx) * depi / FLOAT(iim) |
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[2] | 236 | |
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[232] | 237 | Xfi = xlon2 |
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[2] | 238 | c |
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| 239 | DO 250 it = nmax2,0,-1 |
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[232] | 240 | IF( Xfi.GE.Xf(it)) GO TO 350 |
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[2] | 241 | 250 CONTINUE |
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| 242 | |
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| 243 | it = 0 |
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| 244 | |
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| 245 | 350 CONTINUE |
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| 246 | |
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[232] | 247 | c ...... Calcul de Xf(xi) ...... |
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| 248 | c |
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| 249 | xi = xtild(it) |
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[2] | 250 | |
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[232] | 251 | IF(it.EQ.nmax2) THEN |
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| 252 | it = nmax2 -1 |
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| 253 | Xf(it+1) = pi |
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| 254 | ENDIF |
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| 255 | c ..................................................................... |
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| 256 | c |
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| 257 | c Appel de la routine qui calcule les coefficients a0,a1,a2,a3 d'un |
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| 258 | c polynome de degre 3 qui passe par les points (Xf(it),xtild(it) ) |
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| 259 | c et (Xf(it+1),xtild(it+1) ) |
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[2] | 260 | |
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[232] | 261 | CALL coefpoly ( Xf(it),Xf(it+1),Xprimt(it),Xprimt(it+1), |
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| 262 | , xtild(it),xtild(it+1), a0, a1, a2, a3 ) |
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| 263 | |
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| 264 | Xf1 = Xf(it) |
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| 265 | Xprimin = a1 + 2.* a2 * xi + 3.*a3 * xi *xi |
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| 266 | |
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| 267 | DO 500 iter = 1,300 |
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| 268 | xi = xi - ( Xf1 - Xfi )/ Xprimin |
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| 269 | |
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| 270 | IF( ABS(xi-xo1).LE.epsilon) GO TO 550 |
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| 271 | xo1 = xi |
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| 272 | xi2 = xi * xi |
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| 273 | Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
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| 274 | Xprimin = a1 + 2.* a2 * xi + 3.* a3 * xi2 |
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[2] | 275 | 500 CONTINUE |
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[232] | 276 | WRITE(6,*) ' Pas de solution ***** ',i,xlon2,iter |
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| 277 | STOP 6 |
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[2] | 278 | 550 CONTINUE |
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| 279 | |
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[232] | 280 | xxprim(i) = depi/ ( FLOAT(iim) * Xprimin ) |
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| 281 | xvrai(i) = xi + xzoom |
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[2] | 282 | |
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| 283 | 1500 CONTINUE |
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| 284 | |
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[330] | 285 | |
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| 286 | IF(ik.EQ.1.and.grossism.EQ.1.) THEN |
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| 287 | xvrai(1) = xvrai(iip1)-depi |
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| 288 | xxprim(1) = xxprim(iip1) |
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| 289 | ENDIF |
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[2] | 290 | DO i = 1 , iim |
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[232] | 291 | xlon(i) = xvrai(i) |
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[2] | 292 | xprimm(i) = xxprim(i) |
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| 293 | ENDDO |
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| 294 | DO i = 1, iim -1 |
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| 295 | IF( xvrai(i+1). LT. xvrai(i) ) THEN |
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[232] | 296 | WRITE(6,*) ' PBS. avec rlonu(',i+1,') plus petit que rlonu(',i, |
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| 297 | , ')' |
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| 298 | STOP 7 |
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[2] | 299 | ENDIF |
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| 300 | ENDDO |
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| 301 | c |
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| 302 | c ... Reorganisation des longitudes pour les avoir entre - pi et pi .. |
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| 303 | c ........................................................................ |
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| 304 | |
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| 305 | champmin = 1.e12 |
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| 306 | champmax = -1.e12 |
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| 307 | DO i = 1, iim |
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| 308 | champmin = MIN( champmin,xvrai(i) ) |
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| 309 | champmax = MAX( champmax,xvrai(i) ) |
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| 310 | ENDDO |
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| 311 | |
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[330] | 312 | IF(champmin .GE.-pi-0.10.and.champmax.LE.pi+0.10 ) THEN |
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[2] | 313 | GO TO 1600 |
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| 314 | ELSE |
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[232] | 315 | WRITE(6,*) 'Reorganisation des longitudes pour avoir entre - pi', |
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| 316 | , ' et pi ' |
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[2] | 317 | c |
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| 318 | IF( xzoom.LE.0.) THEN |
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| 319 | IF( ik.EQ. 1 ) THEN |
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| 320 | DO i = 1, iim |
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| 321 | IF( xvrai(i).GE. - pi ) GO TO 80 |
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| 322 | ENDDO |
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[232] | 323 | WRITE(6,*) ' PBS. 1 ! Xvrai plus petit que - pi ! ' |
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| 324 | STOP 8 |
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[2] | 325 | 80 CONTINUE |
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| 326 | is2 = i |
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| 327 | ENDIF |
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| 328 | |
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| 329 | IF( is2.NE. 1 ) THEN |
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| 330 | DO ii = is2 , iim |
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| 331 | xlon (ii-is2+1) = xvrai(ii) |
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| 332 | xprimm(ii-is2+1) = xxprim(ii) |
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| 333 | ENDDO |
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| 334 | DO ii = 1 , is2 -1 |
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| 335 | xlon (ii+iim-is2+1) = xvrai(ii) + depi |
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| 336 | xprimm(ii+iim-is2+1) = xxprim(ii) |
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| 337 | ENDDO |
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| 338 | ENDIF |
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| 339 | ELSE |
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| 340 | IF( ik.EQ.1 ) THEN |
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| 341 | DO i = iim,1,-1 |
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[330] | 342 | IF( xvrai(i).LE. pi ) GO TO 90 |
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[2] | 343 | ENDDO |
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[232] | 344 | WRITE(6,*) ' PBS. 2 ! Xvrai plus grand que pi ! ' |
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| 345 | STOP 9 |
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[2] | 346 | 90 CONTINUE |
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| 347 | is2 = i |
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| 348 | ENDIF |
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| 349 | idif = iim -is2 |
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| 350 | DO ii = 1, is2 |
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| 351 | xlon (ii+idif) = xvrai(ii) |
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| 352 | xprimm(ii+idif) = xxprim(ii) |
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| 353 | ENDDO |
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| 354 | DO ii = 1, idif |
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| 355 | xlon (ii) = xvrai (ii+is2) - depi |
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| 356 | xprimm(ii) = xxprim(ii+is2) |
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| 357 | ENDDO |
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| 358 | ENDIF |
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| 359 | ENDIF |
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| 360 | c |
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| 361 | c ......... Fin de la reorganisation ............................ |
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| 362 | |
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| 363 | 1600 CONTINUE |
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| 364 | |
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| 365 | |
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| 366 | xlon ( iip1) = xlon(1) + depi |
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| 367 | xprimm( iip1 ) = xprimm (1 ) |
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| 368 | |
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| 369 | DO i = 1, iim+1 |
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| 370 | xvrai(i) = xlon(i)*180./pi |
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| 371 | ENDDO |
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| 372 | |
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[232] | 373 | IF( ik.EQ.1 ) THEN |
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| 374 | c WRITE(6,*) ' XLON aux pts. V-0.25 apres ( en deg. ) ' |
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| 375 | c WRITE(6,18) |
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| 376 | c WRITE(6,68) xvrai |
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[330] | 377 | c WRITE(6,*) ' XPRIM k ',ik |
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| 378 | c WRITE(6,566) xprimm |
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[2] | 379 | |
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[330] | 380 | DO i = 1,iim +1 |
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[2] | 381 | rlonm025(i) = xlon( i ) |
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| 382 | xprimm025(i) = xprimm(i) |
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| 383 | ENDDO |
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| 384 | ELSE IF( ik.EQ.2 ) THEN |
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[232] | 385 | c WRITE(6,18) |
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| 386 | c WRITE(6,*) ' XLON aux pts. V apres ( en deg. ) ' |
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| 387 | c WRITE(6,68) xvrai |
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[330] | 388 | c WRITE(6,*) ' XPRIM k ',ik |
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| 389 | c WRITE(6,566) xprimm |
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[232] | 390 | |
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[2] | 391 | DO i = 1,iim + 1 |
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| 392 | rlonv(i) = xlon( i ) |
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| 393 | xprimv(i) = xprimm(i) |
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| 394 | ENDDO |
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[232] | 395 | |
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| 396 | ELSE IF( ik.EQ.3) THEN |
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| 397 | c WRITE(6,18) |
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| 398 | c WRITE(6,*) ' XLON aux pts. U apres ( en deg. ) ' |
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| 399 | c WRITE(6,68) xvrai |
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[330] | 400 | c WRITE(6,*) ' XPRIM ik ',ik |
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| 401 | c WRITE(6,566) xprimm |
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[232] | 402 | |
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[2] | 403 | DO i = 1,iim + 1 |
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| 404 | rlonu(i) = xlon( i ) |
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| 405 | xprimu(i) = xprimm(i) |
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| 406 | ENDDO |
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[232] | 407 | |
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[2] | 408 | ELSE IF( ik.EQ.4 ) THEN |
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[232] | 409 | c WRITE(6,18) |
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| 410 | c WRITE(6,*) ' XLON aux pts. V+0.25 apres ( en deg. ) ' |
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| 411 | c WRITE(6,68) xvrai |
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[330] | 412 | c WRITE(6,*) ' XPRIM ik ',ik |
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| 413 | c WRITE(6,566) xprimm |
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[232] | 414 | |
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[2] | 415 | DO i = 1,iim + 1 |
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| 416 | rlonp025(i) = xlon( i ) |
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| 417 | xprimp025(i) = xprimm(i) |
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| 418 | ENDDO |
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[232] | 419 | |
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[2] | 420 | ENDIF |
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| 421 | |
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| 422 | 5000 CONTINUE |
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| 423 | c |
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[232] | 424 | WRITE(6,18) |
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[2] | 425 | c |
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[232] | 426 | c ........... fin de la boucle do 5000 ............ |
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[2] | 427 | |
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[232] | 428 | DO i = 1, iim |
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| 429 | xlon(i) = rlonv(i+1) - rlonv(i) |
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[2] | 430 | ENDDO |
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[232] | 431 | champmin = 1.e12 |
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| 432 | champmax = -1.e12 |
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[2] | 433 | DO i = 1, iim |
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[232] | 434 | champmin = MIN( champmin, xlon(i) ) |
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| 435 | champmax = MAX( champmax, xlon(i) ) |
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[2] | 436 | ENDDO |
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[232] | 437 | champmin = champmin * 180./pi |
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| 438 | champmax = champmax * 180./pi |
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[2] | 439 | |
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[232] | 440 | 18 FORMAT(/) |
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| 441 | 24 FORMAT(2x,'Parametres xzoom,gross,tau ,dzoom pour fxhyp ',4f8.3) |
---|
| 442 | 68 FORMAT(1x,7f9.2) |
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[330] | 443 | 566 FORMAT(1x,7f9.4) |
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[2] | 444 | |
---|
[232] | 445 | RETURN |
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| 446 | END |
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