/[lmdze]/trunk/Sources/dyn3d/invert_zoom_x.f
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revision 145 by guez, Tue Jun 16 15:23:29 2015 UTC revision 154 by guez, Tue Jul 7 17:49:23 2015 UTC
# Line 3  module invert_zoom_x_m Line 3  module invert_zoom_x_m
3    implicit none    implicit none
4    
5    INTEGER, PARAMETER:: nmax = 30000    INTEGER, PARAMETER:: nmax = 30000
6      DOUBLE PRECISION abs_y
7    
8      private abs_y, funcd
9    
10  contains  contains
11    
12    subroutine invert_zoom_x(xf, xtild, Xprimt, xlon, xprimm, xuv)    subroutine invert_zoom_x(xf, xtild, G, xlon, xprim, xuv)
13    
14      use coefpoly_m, only: coefpoly      use coefpoly_m, only: coefpoly, a1, a2, a3
15      USE dimens_m, ONLY: iim      USE dimens_m, ONLY: iim
16      use dynetat0_m, only: clon      use dynetat0_m, only: clon
17      use nr_util, only: pi_d, twopi_d      use nr_util, only: pi_d, twopi_d
18      use numer_rec_95, only: hunt      use numer_rec_95, only: hunt, rtsafe
19    
20        DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), G(0:) ! (0:nmax)
21    
22      DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), Xprimt(0:) ! (0:2 * nmax)      real, intent(out):: xlon(:), xprim(:) ! (iim)
     real, intent(out):: xlon(:), xprimm(:) ! (iim)  
23    
24      DOUBLE PRECISION, intent(in):: xuv      DOUBLE PRECISION, intent(in):: xuv
25      ! between - 0.25 and 0.5      ! between - 0.25 and 0.5
# Line 23  contains Line 27  contains
27      ! 0.5 si calcul aux points U      ! 0.5 si calcul aux points U
28    
29      ! Local:      ! Local:
30      DOUBLE PRECISION xo1, Xfi, a0, a1, a2, a3, Xf1, Xprimin      DOUBLE PRECISION Y
31      integer i, it, iter      DOUBLE PRECISION h ! step of the uniform grid
32      DOUBLE PRECISION, parameter:: my_eps = 1d-6      integer i, it
33    
34      DOUBLE PRECISION xxprim(iim), xvrai(iim)      DOUBLE PRECISION xvrai(iim), Gvrai(iim)
35      ! intermediary variables because xlon and xprimm are simple precision      ! intermediary variables because xlon and xprim are simple precision
36    
37      !------------------------------------------------------------------      !------------------------------------------------------------------
38    
39      it = 0 ! initial guess      it = 0 ! initial guess
40        h = twopi_d / iim
41    
42      DO i = 1, iim      DO i = 1, iim
43         Xfi = - pi_d + (i + xuv - 0.75d0) * twopi_d / iim         Y = - pi_d + (i + xuv - 0.75d0) * h
44         ! - pi <= xfi < pi         ! - pi <= y < pi
45           abs_y = abs(y)
46         call hunt(xf, xfi, it, my_lbound = 0)  
47         it = max(0, it)         call hunt(xf, abs_y, it, my_lbound = 0)
48         ! In principle, xfi >= xf(0), max with 0 just in case of         ! {0 <= it <= nmax - 1}
49         ! roundoff error. {0 <= it <= 2 * nmax - 1}  
50           ! Calcul de xvrai(i) et Gvrai(i)
51         ! Calcul de Xf(xvrai(i))         CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), &
52                xtild(it + 1))
53         CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), &         xvrai(i) = rtsafe(funcd, xtild(it), xtild(it + 1), xacc = 1d-6)
54              xtild(it), xtild(it + 1), a0, a1, a2, a3)         Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)
55         xvrai(i) = xtild(it)         if (y < 0d0) xvrai(i) = - xvrai(i)
        Xf1 = Xf(it)  
        Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)  
        xo1 = xvrai(i)  
        iter = 1  
   
        do  
           xvrai(i) = xvrai(i) - (Xf1 - Xfi) / Xprimin  
           IF (ABS(xvrai(i) - xo1) <= my_eps .or. iter == 300) exit  
           xo1 = xvrai(i)  
           Xf1 = a0 + xvrai(i) * (a1 + xvrai(i) * (a2 + xvrai(i) * a3))  
           Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)  
        end DO  
   
        if (ABS(xvrai(i) - xo1) > my_eps) then  
           ! iter == 300  
           print *, 'Pas de solution.'  
           print *, i, xfi  
           STOP 1  
        end if  
   
        xxprim(i) = twopi_d / (iim * Xprimin)  
56      end DO      end DO
57    
58      DO i = 1, iim -1      DO i = 1, iim -1
# Line 79  contains Line 63  contains
63      END DO      END DO
64    
65      xlon = xvrai + clon      xlon = xvrai + clon
66      xprimm = xxprim      xprim = h / Gvrai
67    
68    end subroutine invert_zoom_x    end subroutine invert_zoom_x
69    
70      !**********************************************************************
71    
72      SUBROUTINE funcd(x, fval, fderiv)
73    
74        use coefpoly_m, only: a0, a1, a2, a3
75    
76        DOUBLE PRECISION, INTENT(IN):: x
77        DOUBLE PRECISION, INTENT(OUT):: fval, fderiv
78    
79        fval = a0 + x * (a1 + x * (a2 + x * a3)) - abs_y
80        fderiv = a1 + x * (2d0 * a2 + x * 3d0 * a3)
81    
82      END SUBROUTINE funcd
83    
84  end module invert_zoom_x_m  end module invert_zoom_x_m
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