1 |
module fxhyp_loop_ik_m |
module invert_zoom_x_m |
2 |
|
|
3 |
implicit none |
implicit none |
4 |
|
|
6 |
|
|
7 |
contains |
contains |
8 |
|
|
9 |
subroutine fxhyp_loop_ik(xf, xtild, Xprimt, xzoom, xlon, xprimm, xuv) |
subroutine invert_zoom_x(xf, xtild, G, xlon, xprim, xuv) |
10 |
|
|
11 |
use coefpoly_m, only: coefpoly |
use coefpoly_m, only: coefpoly |
12 |
USE dimens_m, ONLY: iim |
USE dimens_m, ONLY: iim |
13 |
|
use dynetat0_m, only: clon |
14 |
use nr_util, only: pi_d, twopi_d |
use nr_util, only: pi_d, twopi_d |
15 |
|
use numer_rec_95, only: hunt |
16 |
|
|
17 |
DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), Xprimt(0:) ! (0:2 * nmax) |
DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), G(0:) ! (0:nmax) |
18 |
DOUBLE PRECISION, intent(in):: xzoom |
|
19 |
real, intent(out):: xlon(:), xprimm(:) ! (iim) |
real, intent(out):: xlon(:), xprim(:) ! (iim) |
20 |
|
|
21 |
DOUBLE PRECISION, intent(in):: xuv |
DOUBLE PRECISION, intent(in):: xuv |
22 |
|
! between - 0.25 and 0.5 |
23 |
! 0. si calcul aux points scalaires |
! 0. si calcul aux points scalaires |
24 |
! 0.5 si calcul aux points U |
! 0.5 si calcul aux points U |
25 |
|
|
26 |
! Local: |
! Local: |
27 |
DOUBLE PRECISION xo1, Xfi, a0, a1, a2, a3, Xf1, Xprimin |
DOUBLE PRECISION Y, abs_y, a0, a1, a2, a3 |
28 |
integer i, it, iter |
integer i, it, iter |
29 |
DOUBLE PRECISION, parameter:: my_eps = 1d-6 |
real, parameter:: my_eps = 1e-6 |
30 |
|
|
31 |
DOUBLE PRECISION xxprim(iim), xvrai(iim) |
real xo1, Xf1 |
32 |
! intermediary variables because xlon and xprimm are simple precision |
real xvrai(iim), Gvrai(iim) |
33 |
|
! intermediary variables because xlon and xprim are simple precision |
34 |
|
|
35 |
!------------------------------------------------------------------ |
!------------------------------------------------------------------ |
36 |
|
|
37 |
|
it = 0 ! initial guess |
38 |
|
|
39 |
DO i = 1, iim |
DO i = 1, iim |
40 |
Xfi = - pi_d + (i + xuv - 0.75d0) * twopi_d / iim |
Y = - pi_d + (i + xuv - 0.75d0) * twopi_d / iim |
41 |
|
! - pi <= y < pi |
42 |
|
abs_y = abs(y) |
43 |
|
|
44 |
it = 2 * nmax |
call hunt(xf, abs_y, it, my_lbound = 0) |
45 |
do while (xfi < xf(it) .and. it >= 1) |
! {0 <= it <= nmax - 1} |
|
it = it - 1 |
|
|
end do |
|
46 |
|
|
47 |
! Calcul de Xf(xvrai(i)) |
! Calcul de xvrai(i) et Gvrai(i) |
48 |
|
|
49 |
|
CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), & |
50 |
|
xtild(it + 1), a0, a1, a2, a3) |
51 |
xvrai(i) = xtild(it) |
xvrai(i) = xtild(it) |
|
|
|
|
IF (it == 2 * nmax) THEN |
|
|
it = 2 * nmax -1 |
|
|
END IF |
|
|
|
|
|
CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), & |
|
|
xtild(it), xtild(it + 1), a0, a1, a2, a3) |
|
52 |
Xf1 = Xf(it) |
Xf1 = Xf(it) |
53 |
Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3) |
Gvrai(i) = G(it) |
54 |
xo1 = xvrai(i) |
xo1 = xvrai(i) |
55 |
iter = 1 |
iter = 1 |
56 |
|
|
57 |
do |
do |
58 |
xvrai(i) = xvrai(i) - (Xf1 - Xfi) / Xprimin |
xvrai(i) = xvrai(i) - (Xf1 - abs_y) / Gvrai(i) |
59 |
IF (ABS(xvrai(i) - xo1) <= my_eps .or. iter == 300) exit |
IF (ABS(xvrai(i) - xo1) <= my_eps .or. iter == 300) exit |
60 |
xo1 = xvrai(i) |
xo1 = xvrai(i) |
61 |
Xf1 = a0 + xvrai(i) * (a1 + xvrai(i) * (a2 + xvrai(i) * a3)) |
Xf1 = a0 + xvrai(i) * (a1 + xvrai(i) * (a2 + xvrai(i) * a3)) |
62 |
Xprimin = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3) |
Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3) |
63 |
end DO |
end DO |
64 |
|
|
65 |
if (ABS(xvrai(i) - xo1) > my_eps) then |
if (ABS(xvrai(i) - xo1) > my_eps) then |
66 |
! iter == 300 |
! iter == 300 |
67 |
print *, 'Pas de solution.' |
print *, 'Pas de solution.' |
68 |
print *, i, xfi |
print *, i, abs_y |
69 |
STOP 1 |
STOP 1 |
70 |
end if |
end if |
71 |
|
|
72 |
xxprim(i) = twopi_d / (iim * Xprimin) |
if (y < 0d0) xvrai(i) = - xvrai(i) |
73 |
end DO |
end DO |
74 |
|
|
75 |
DO i = 1, iim -1 |
DO i = 1, iim -1 |
79 |
END IF |
END IF |
80 |
END DO |
END DO |
81 |
|
|
82 |
xlon = xvrai + xzoom |
xlon = xvrai + clon |
83 |
xprimm = xxprim |
xprim = twopi_d / (iim * Gvrai) |
84 |
|
|
85 |
end subroutine fxhyp_loop_ik |
end subroutine invert_zoom_x |
86 |
|
|
87 |
end module fxhyp_loop_ik_m |
end module invert_zoom_x_m |