/[lmdze]/trunk/dyn3d/fxhyp.f
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trunk/dyn3d/fxhyp.f revision 124 by guez, Thu Feb 5 15:19:37 2015 UTC trunk/Sources/dyn3d/fxhyp.f revision 145 by guez, Tue Jun 16 15:23:29 2015 UTC
# Line 15  contains Line 15  contains
15      ! Il vaut mieux avoir : grossismx \times dzoom < pi      ! Il vaut mieux avoir : grossismx \times dzoom < pi
16    
17      ! Le premier point scalaire pour une grille regulière (grossismx =      ! Le premier point scalaire pour une grille regulière (grossismx =
18      ! 1., taux=0., clon=0.) est à - 180 degrés.      ! 1., taux = 0., clon = 0.) est à - 180 degrés.
19    
20      USE dimens_m, ONLY: iim      USE dimens_m, ONLY: iim
21      use fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax      use dynetat0_m, only: clon, grossismx, dzoomx, taux
22      use nr_util, only: pi, pi_d, twopi_d, arth      use invert_zoom_x_m, only: invert_zoom_x, nmax
23        use nr_util, only: pi, pi_d, twopi, twopi_d, arth
24      use principal_cshift_m, only: principal_cshift      use principal_cshift_m, only: principal_cshift
25      use serre, only: clon, grossismx, dzoomx, taux      use tanh_cautious_m, only: tanh_cautious
26    
27      REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1)      REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1)
28      real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1)      real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1)
29    
30      ! Local:      ! Local:
31      real rlonm025(iim + 1), rlonp025(iim + 1)      real rlonm025(iim + 1), rlonp025(iim + 1)
32      REAL dzoom      REAL dzoom, step
33      real d_rlonv(iim)      real d_rlonv(iim)
34      DOUBLE PRECISION xtild(0:2 * nmax)      DOUBLE PRECISION xtild(0:2 * nmax)
35      DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax)      DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax)
36      DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax)      DOUBLE PRECISION Xf(0:2 * nmax)
     DOUBLE PRECISION xzoom, fa, fb  
37      INTEGER i, is2      INTEGER i, is2
38      DOUBLE PRECISION xmoy, fxm      DOUBLE PRECISION, dimension(nmax + 1:2 * nmax):: xxpr, xmoy, fxm
     DOUBLE PRECISION decalx  
39    
40      !----------------------------------------------------------------------      !----------------------------------------------------------------------
41    
42      print *, "Call sequence information: fxhyp"      print *, "Call sequence information: fxhyp"
43    
44      dzoom = dzoomx * twopi_d      test_grossismx: if (grossismx == 1.) then
45      xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1)         step = twopi / iim
46    
47      ! Compute fhyp:         xprimm025(:iim) = step
48      DO i = nmax, 2 * nmax         xprimp025(:iim) = step
49         fa = taux * (dzoom / 2. - xtild(i))         xprimv(:iim) = step
50         fb = xtild(i) * (pi_d - xtild(i))         xprimu(:iim) = step
51    
52         IF (200. * fb < - fa) THEN         rlonv(:iim) = arth(- pi + clon, step, iim)
53            fhyp(i) = - 1.         rlonm025(:iim) = rlonv(:iim) - 0.25 * step
54         ELSE IF (200. * fb < fa) THEN         rlonp025(:iim) = rlonv(:iim) + 0.25 * step
55            fhyp(i) = 1.         rlonu(:iim) = rlonv(:iim) + 0.5 * step
56         ELSE      else test_grossismx
57            IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN         dzoom = dzoomx * twopi_d
58               IF (200. * fb + fa < 1e-10) THEN         xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1)
59                  fhyp(i) = - 1.         forall (i = nmax + 1:2 * nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i))
60               ELSE IF (200. * fb - fa < 1e-10) THEN  
61                  fhyp(i) = 1.         ! Compute fhyp:
62               END IF         fhyp(nmax + 1:2 * nmax - 1) = tanh_cautious(taux * (dzoom / 2. &
63            ELSE              - xtild(nmax + 1:2 * nmax - 1)), xtild(nmax + 1:2 * nmax - 1) &
64               fhyp(i) = TANH(fa / fb)              * (pi_d - xtild(nmax + 1:2 * nmax - 1)))
65            END IF         fhyp(nmax) = 1d0
66         END IF         fhyp(2 * nmax) = -1d0
67    
68         IF (xtild(i) == 0.) fhyp(i) = 1.         fxm = tanh_cautious(taux * (dzoom / 2. - xmoy), xmoy * (pi_d - xmoy))
69         IF (xtild(i) == pi_d) fhyp(i) = -1.  
70      END DO         ! Calcul de beta
71    
72      ! Calcul de beta         ffdx = 0.
73    
74      ffdx = 0.         DO i = nmax + 1, 2 * nmax
75              ffdx = ffdx + fxm(i) * (xtild(i) - xtild(i-1))
76      DO i = nmax + 1, 2 * nmax         END DO
77         xmoy = 0.5 * (xtild(i-1) + xtild(i))  
78         fa = taux * (dzoom / 2. - xmoy)         print *, "ffdx = ", ffdx
79         fb = xmoy * (pi_d - xmoy)         beta = (pi_d - grossismx * ffdx) / (pi_d - ffdx)
80           print *, "beta = ", beta
81         IF (200. * fb < - fa) THEN  
82            fxm = - 1.         IF (2. * beta - grossismx <= 0.) THEN
83         ELSE IF (200. * fb < fa) THEN            print *, 'Bad choice of grossismx, taux, dzoomx.'
84            fxm = 1.            print *, 'Decrease dzoomx or grossismx.'
85         ELSE            STOP 1
           IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN  
              IF (200. * fb + fa < 1e-10) THEN  
                 fxm = - 1.  
              ELSE IF (200. * fb - fa < 1e-10) THEN  
                 fxm = 1.  
              END IF  
           ELSE  
              fxm = TANH(fa / fb)  
           END IF  
        END IF  
   
        IF (xmoy == 0.) fxm = 1.  
        IF (xmoy == pi_d) fxm = -1.  
   
        ffdx = ffdx + fxm * (xtild(i) - xtild(i-1))  
     END DO  
   
     print *, "ffdx = ", ffdx  
     beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d)  
     print *, "beta = ", beta  
   
     IF (2. * beta - grossismx <= 0.) THEN  
        print *, 'Bad choice of grossismx, taux, dzoomx.'  
        print *, 'Decrease dzoomx or grossismx.'  
        STOP 1  
     END IF  
   
     ! calcul de Xprimt  
     Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp  
     xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1)  
   
     ! Calcul de Xf  
   
     DO i = nmax + 1, 2 * nmax  
        xmoy = 0.5 * (xtild(i-1) + xtild(i))  
        fa = taux * (dzoom / 2. - xmoy)  
        fb = xmoy * (pi_d - xmoy)  
   
        IF (200. * fb < - fa) THEN  
           fxm = - 1.  
        ELSE IF (200. * fb < fa) THEN  
           fxm = 1.  
        ELSE  
           fxm = TANH(fa / fb)  
86         END IF         END IF
87    
88         IF (xmoy == 0.) fxm = 1.         ! calcul de Xprimt
89         IF (xmoy == pi_d) fxm = -1.         Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp
90         xxpr(i) = beta + (grossismx - beta) * fxm         xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1)
91      END DO  
92           ! Calcul de Xf
93      xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1)  
94           xxpr = beta + (grossismx - beta) * fxm
95      Xf(0) = - pi_d         Xf(nmax) = 0d0
96    
97      DO i=1, 2 * nmax - 1         DO i = nmax + 1, 2 * nmax - 1
98         Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1))            Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1))
99      END DO         END DO
100    
101      Xf(2 * nmax) = pi_d         Xf(2 * nmax) = pi_d
102           xf(:nmax - 1) = - xf(2 * nmax:nmax + 1:- 1)
103      IF (grossismx == 1.) THEN  
104         decalx = 1d0         call invert_zoom_x(xf, xtild, Xprimt, rlonm025(:iim), xprimm025(:iim), &
105      else              xuv = - 0.25d0)
106         decalx = 0.75d0         call invert_zoom_x(xf, xtild, Xprimt, rlonv(:iim), xprimv(:iim), &
107      END IF              xuv = 0d0)
108           call invert_zoom_x(xf, xtild, Xprimt, rlonu(:iim), xprimu(:iim), &
109      xzoom = clon * pi_d / 180d0              xuv = 0.5d0)
110      call fxhyp_loop_ik(1, decalx, xf, xtild, Xprimt, xzoom, rlonm025(:iim), &         call invert_zoom_x(xf, xtild, Xprimt, rlonp025(:iim), xprimp025(:iim), &
111           xprimm025(:iim), xuv = - 0.25d0)              xuv = 0.25d0)
112      call fxhyp_loop_ik(2, decalx, xf, xtild, Xprimt, xzoom, rlonv(:iim), &      end if test_grossismx
          xprimv(:iim), xuv = 0d0)  
     call fxhyp_loop_ik(3, decalx, xf, xtild, Xprimt, xzoom, rlonu(:iim), &  
          xprimu(:iim), xuv = 0.5d0)  
     call fxhyp_loop_ik(4, decalx, xf, xtild, Xprimt, xzoom, rlonp025(:iim), &  
          xprimp025(:iim), xuv = 0.25d0)  
113    
114      is2 = 0      is2 = 0
115    
# Line 199  contains Line 149  contains
149      print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees"      print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees"
150      print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees"      print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees"
151    
152        ! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu:
153      DO i = 1, iim + 1      DO i = 1, iim + 1
154         IF (rlonp025(i) < rlonv(i)) THEN         IF (rlonp025(i) < rlonv(i)) THEN
155            print *, 'rlonp025(', i, ') = ', rlonp025(i)            print *, 'rlonp025(', i, ') = ', rlonp025(i)
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