/[lmdze]/trunk/dyn3d/invert_zoom_x.f
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revision 131 by guez, Fri Feb 27 16:44:07 2015 UTC revision 254 by guez, Mon Feb 5 10:39:38 2018 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(beta, 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, grossismx
17      use nr_util, only: pi_d, twopi_d      use nr_util, only: pi_d, twopi_d
18      use serre, only: clon      use numer_rec_95, only: hunt, rtsafe
19    
20        DOUBLE PRECISION, intent(in):: beta, 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
26      ! 0. si calcul aux points scalaires      ! 0. si calcul aux points scalaires
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      DO i = 1, iim      print *, "Call sequence information: invert_zoom_x"
40         Xfi = - pi_d + (i + xuv - 0.75d0) * twopi_d / iim      it = 0 ! initial guess
41        h = twopi_d / iim
        it = 2 * nmax  
        do while (xfi < xf(it) .and. it >= 1)  
           it = it - 1  
        end do  
   
        ! Calcul de Xf(xvrai(i))  
   
        xvrai(i) = xtild(it)  
   
        IF (it == 2 * nmax) THEN  
           it = 2 * nmax -1  
        END IF  
42    
43         CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), &      DO i = 1, iim
44              xtild(it), xtild(it + 1), a0, a1, a2, a3)         Y = - pi_d + (i + xuv - 0.75d0) * h
45         Xf1 = Xf(it)         ! - pi <= y < pi
46         Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)         abs_y = abs(y)
47         xo1 = xvrai(i)  
48         iter = 1         ! Distinguish boundaries in order to avoid roundoff error.
49           ! funcd should be exactly equal to 0 at xtild(it) or xtild(it +
50         do         ! 1) and could be very small with the wrong sign so rtsafe
51            xvrai(i) = xvrai(i) - (Xf1 - Xfi) / Xprimin         ! would fail.
52            IF (ABS(xvrai(i) - xo1) <= my_eps .or. iter == 300) exit         if (abs_y == 0d0) then
53            xo1 = xvrai(i)            xvrai(i) = 0d0
54            Xf1 = a0 + xvrai(i) * (a1 + xvrai(i) * (a2 + xvrai(i) * a3))            gvrai(i) = grossismx
55            Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)         else if (abs_y == pi_d) then
56         end DO            xvrai(i) = pi_d
57              gvrai(i) = 2d0 * beta - grossismx
58         if (ABS(xvrai(i) - xo1) > my_eps) then         else
59            ! iter == 300            call hunt(xf, abs_y, it, my_lbound = 0)
60            print *, 'Pas de solution.'            ! {0 <= it <= nmax - 1}
61            print *, i, xfi  
62            STOP 1            ! Calcul de xvrai(i) et Gvrai(i)
63              CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), &
64                   xtild(it + 1))
65              xvrai(i) = rtsafe(funcd, xtild(it), xtild(it + 1), xacc = 1d-6)
66              Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)
67         end if         end if
68    
69         xxprim(i) = twopi_d / (iim * Xprimin)         if (y < 0d0) xvrai(i) = - xvrai(i)
70      end DO      end DO
71    
72      DO i = 1, iim -1      DO i = 1, iim -1
# Line 79  contains Line 77  contains
77      END DO      END DO
78    
79      xlon = xvrai + clon      xlon = xvrai + clon
80      xprimm = xxprim      xprim = h / Gvrai
81    
82    end subroutine invert_zoom_x    end subroutine invert_zoom_x
83    
84      !**********************************************************************
85    
86      SUBROUTINE funcd(x, fval, fderiv)
87    
88        use coefpoly_m, only: a0, a1, a2, a3
89    
90        DOUBLE PRECISION, INTENT(IN):: x
91        DOUBLE PRECISION, INTENT(OUT):: fval, fderiv
92    
93        fval = a0 + x * (a1 + x * (a2 + x * a3)) - abs_y
94        fderiv = a1 + x * (2d0 * a2 + x * 3d0 * a3)
95    
96      END SUBROUTINE funcd
97    
98  end module invert_zoom_x_m  end module invert_zoom_x_m
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