12 |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
13 |
! une fonction f(x) à dérivée tangente hyperbolique. |
! une fonction f(x) à dérivée tangente hyperbolique. |
14 |
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|
15 |
! On doit avoir grossismx \times dzoomx < pi (radians) |
! Il vaut mieux avoir : grossismx \times dzoom < pi |
16 |
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|
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 |
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use coefpoly_m, only: coefpoly |
|
20 |
USE dimens_m, ONLY: iim |
USE dimens_m, ONLY: iim |
21 |
use nr_util, only: pi_d, twopi_d, arth |
use fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax |
22 |
|
use nr_util, only: pi, pi_d, twopi, twopi_d, arth |
23 |
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use principal_cshift_m, only: principal_cshift |
24 |
use serre, only: clon, grossismx, dzoomx, taux |
use serre, only: clon, grossismx, dzoomx, taux |
25 |
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|
26 |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
27 |
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
28 |
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|
29 |
! Local: |
! Local: |
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DOUBLE PRECISION champmin, champmax |
|
30 |
real rlonm025(iim + 1), rlonp025(iim + 1) |
real rlonm025(iim + 1), rlonp025(iim + 1) |
31 |
INTEGER, PARAMETER:: nmax = 30000, nmax2 = 2 * nmax |
REAL dzoom, step |
32 |
REAL dzoom |
real d_rlonv(iim) |
33 |
DOUBLE PRECISION xlon(iim + 1), xprimm(iim + 1), xuv |
DOUBLE PRECISION xtild(0:2 * nmax) |
34 |
DOUBLE PRECISION xtild(0:nmax2) |
DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax) |
35 |
DOUBLE PRECISION fhyp(nmax:nmax2), ffdx, beta, Xprimt(0:nmax2) |
DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax) |
36 |
DOUBLE PRECISION Xf(0:nmax2), xxpr(nmax2) |
DOUBLE PRECISION fa, fb |
37 |
DOUBLE PRECISION xvrai(iim + 1), xxprim(iim + 1) |
INTEGER i, is2 |
38 |
DOUBLE PRECISION my_eps, xzoom, fa, fb |
DOUBLE PRECISION xmoy, fxm |
|
DOUBLE PRECISION Xf1, Xfi, a0, a1, a2, a3, xi2 |
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INTEGER i, it, ik, iter, ii, idif, ii1, ii2 |
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DOUBLE PRECISION xi, xo1, xmoy, fxm, Xprimin |
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DOUBLE PRECISION decalx |
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INTEGER is2 |
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39 |
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40 |
!---------------------------------------------------------------------- |
!---------------------------------------------------------------------- |
41 |
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42 |
print *, "Call sequence information: fxhyp" |
print *, "Call sequence information: fxhyp" |
43 |
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|
44 |
my_eps = 1e-3 |
test_grossismx: if (grossismx == 1.) then |
45 |
xzoom = clon * pi_d / 180. |
step = twopi / iim |
46 |
|
|
47 |
IF (grossismx == 1.) THEN |
xprimm025(:iim) = step |
48 |
decalx = 1. |
xprimp025(:iim) = step |
49 |
|
xprimv(:iim) = step |
50 |
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xprimu(:iim) = step |
51 |
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52 |
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rlonv(:iim) = arth(- pi + clon, step, iim) |
53 |
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rlonm025(:iim) = rlonv(:iim) - 0.25 * step |
54 |
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rlonp025(:iim) = rlonv(:iim) + 0.25 * step |
55 |
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rlonu(:iim) = rlonv(:iim) + 0.5 * step |
56 |
else |
else |
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decalx = 0.75 |
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END IF |
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IF (dzoomx < 1.) THEN |
|
57 |
dzoom = dzoomx * twopi_d |
dzoom = dzoomx * twopi_d |
58 |
ELSE IF (dzoomx < 25.) THEN |
xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1) |
|
print *, "dzoomx pour fxhyp est trop petit." |
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STOP 1 |
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ELSE |
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dzoom = dzoomx * pi_d / 180. |
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END IF |
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print *, 'dzoom (rad):', dzoom |
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59 |
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60 |
xtild = arth(- pi_d, twopi_d / nmax2, nmax2 + 1) |
! Compute fhyp: |
61 |
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DO i = nmax, 2 * nmax |
62 |
DO i = nmax, nmax2 |
fa = taux * (dzoom / 2. - xtild(i)) |
63 |
fa = taux * (dzoom / 2. - xtild(i)) |
fb = xtild(i) * (pi_d - xtild(i)) |
64 |
fb = xtild(i) * (pi_d - xtild(i)) |
|
65 |
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IF (200. * fb < - fa) THEN |
66 |
IF (200. * fb < - fa) THEN |
fhyp(i) = - 1. |
67 |
fhyp(i) = - 1. |
ELSE IF (200. * fb < fa) THEN |
68 |
ELSE IF (200. * fb < fa) THEN |
fhyp(i) = 1. |
|
fhyp(i) = 1. |
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ELSE |
|
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IF (ABS(fa) < 1e-13.AND.ABS(fb) < 1e-13) THEN |
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IF (200. * fb + fa < 1e-10) THEN |
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fhyp(i) = - 1. |
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ELSE IF (200. * fb - fa < 1e-10) THEN |
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fhyp(i) = 1. |
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END IF |
|
69 |
ELSE |
ELSE |
70 |
fhyp(i) = TANH(fa / fb) |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
71 |
|
IF (200. * fb + fa < 1e-10) THEN |
72 |
|
fhyp(i) = - 1. |
73 |
|
ELSE IF (200. * fb - fa < 1e-10) THEN |
74 |
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fhyp(i) = 1. |
75 |
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END IF |
76 |
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ELSE |
77 |
|
fhyp(i) = TANH(fa / fb) |
78 |
|
END IF |
79 |
END IF |
END IF |
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END IF |
|
80 |
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|
81 |
IF (xtild(i) == 0.) fhyp(i) = 1. |
IF (xtild(i) == 0.) fhyp(i) = 1. |
82 |
IF (xtild(i) == pi_d) fhyp(i) = -1. |
IF (xtild(i) == pi_d) fhyp(i) = -1. |
83 |
END DO |
END DO |
84 |
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|
85 |
! Calcul de beta |
! Calcul de beta |
86 |
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|
87 |
ffdx = 0. |
ffdx = 0. |
88 |
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|
89 |
DO i = nmax + 1, nmax2 |
DO i = nmax + 1, 2 * nmax |
90 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
91 |
fa = taux * (dzoom / 2. - xmoy) |
fa = taux * (dzoom / 2. - xmoy) |
92 |
fb = xmoy * (pi_d - xmoy) |
fb = xmoy * (pi_d - xmoy) |
93 |
|
|
94 |
IF (200. * fb < - fa) THEN |
IF (200. * fb < - fa) THEN |
95 |
fxm = - 1. |
fxm = - 1. |
96 |
ELSE IF (200. * fb < fa) THEN |
ELSE IF (200. * fb < fa) THEN |
97 |
fxm = 1. |
fxm = 1. |
|
ELSE |
|
|
IF (ABS(fa) < 1e-13.AND.ABS(fb) < 1e-13) THEN |
|
|
IF (200. * fb + fa < 1e-10) THEN |
|
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fxm = - 1. |
|
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ELSE IF (200. * fb - fa < 1e-10) THEN |
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fxm = 1. |
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END IF |
|
98 |
ELSE |
ELSE |
99 |
fxm = TANH(fa / fb) |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
100 |
|
IF (200. * fb + fa < 1e-10) THEN |
101 |
|
fxm = - 1. |
102 |
|
ELSE IF (200. * fb - fa < 1e-10) THEN |
103 |
|
fxm = 1. |
104 |
|
END IF |
105 |
|
ELSE |
106 |
|
fxm = TANH(fa / fb) |
107 |
|
END IF |
108 |
END IF |
END IF |
|
END IF |
|
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|
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IF (xmoy == 0.) fxm = 1. |
|
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IF (xmoy == pi_d) fxm = -1. |
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|
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ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
|
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END DO |
|
|
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|
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beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
|
109 |
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|
110 |
IF (2. * beta - grossismx <= 0.) THEN |
IF (xmoy == 0.) fxm = 1. |
111 |
print *, 'Attention ! La valeur beta calculée dans fxhyp est mauvaise.' |
IF (xmoy == pi_d) fxm = -1. |
|
print *, 'Modifier les valeurs de grossismx, taux ou dzoomx et relancer.' |
|
|
STOP 1 |
|
|
END IF |
|
112 |
|
|
113 |
! calcul de Xprimt |
ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
114 |
|
END DO |
115 |
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|
116 |
DO i = nmax, nmax2 |
print *, "ffdx = ", ffdx |
117 |
Xprimt(i) = beta + (grossismx - beta) * fhyp(i) |
beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
118 |
END DO |
print *, "beta = ", beta |
119 |
|
|
120 |
|
IF (2. * beta - grossismx <= 0.) THEN |
121 |
|
print *, 'Bad choice of grossismx, taux, dzoomx.' |
122 |
|
print *, 'Decrease dzoomx or grossismx.' |
123 |
|
STOP 1 |
124 |
|
END IF |
125 |
|
|
126 |
DO i = nmax + 1, nmax2 |
! calcul de Xprimt |
127 |
Xprimt(nmax2 - i) = Xprimt(i) |
Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp |
128 |
END DO |
xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1) |
129 |
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|
130 |
|
! Calcul de Xf |
131 |
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|
132 |
|
DO i = nmax + 1, 2 * nmax |
133 |
|
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
134 |
|
fa = taux * (dzoom / 2. - xmoy) |
135 |
|
fb = xmoy * (pi_d - xmoy) |
136 |
|
|
137 |
|
IF (200. * fb < - fa) THEN |
138 |
|
fxm = - 1. |
139 |
|
ELSE IF (200. * fb < fa) THEN |
140 |
|
fxm = 1. |
141 |
|
ELSE |
142 |
|
fxm = TANH(fa / fb) |
143 |
|
END IF |
144 |
|
|
145 |
! Calcul de Xf |
IF (xmoy == 0.) fxm = 1. |
146 |
|
IF (xmoy == pi_d) fxm = -1. |
147 |
|
xxpr(i) = beta + (grossismx - beta) * fxm |
148 |
|
END DO |
149 |
|
|
150 |
Xf(0) = - pi_d |
xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1) |
151 |
|
|
152 |
DO i = nmax + 1, nmax2 |
Xf(0) = - pi_d |
|
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
|
|
fa = taux * (dzoom / 2. - xmoy) |
|
|
fb = xmoy * (pi_d - xmoy) |
|
|
|
|
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IF (200. * fb < - fa) THEN |
|
|
fxm = - 1. |
|
|
ELSE IF (200. * fb < fa) THEN |
|
|
fxm = 1. |
|
|
ELSE |
|
|
fxm = TANH(fa / fb) |
|
|
END IF |
|
153 |
|
|
154 |
IF (xmoy == 0.) fxm = 1. |
DO i=1, 2 * nmax - 1 |
155 |
IF (xmoy == pi_d) fxm = -1. |
Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
156 |
xxpr(i) = beta + (grossismx - beta) * fxm |
END DO |
|
END DO |
|
157 |
|
|
158 |
xxpr(:nmax) = xxpr(nmax2:nmax + 1:- 1) |
Xf(2 * nmax) = pi_d |
159 |
|
|
160 |
DO i=1, nmax2 |
call fxhyp_loop_ik(xf, xtild, Xprimt, rlonm025(:iim), xprimm025(:iim), & |
161 |
Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
xuv = - 0.25d0) |
162 |
END DO |
call fxhyp_loop_ik(xf, xtild, Xprimt, rlonv(:iim), xprimv(:iim), & |
163 |
|
xuv = 0d0) |
164 |
|
call fxhyp_loop_ik(xf, xtild, Xprimt, rlonu(:iim), xprimu(:iim), & |
165 |
|
xuv = 0.5d0) |
166 |
|
call fxhyp_loop_ik(xf, xtild, Xprimt, rlonp025(:iim), xprimp025(:iim), & |
167 |
|
xuv = 0.25d0) |
168 |
|
end if test_grossismx |
169 |
|
|
170 |
is2 = 0 |
is2 = 0 |
171 |
|
|
172 |
loop_ik: DO ik = 1, 4 |
IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
173 |
! xuv = 0. si calcul aux points scalaires |
.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
174 |
! xuv = 0.5 si calcul aux points U |
IF (clon <= 0.) THEN |
175 |
|
is2 = 1 |
|
IF (ik == 1) THEN |
|
|
xuv = -0.25 |
|
|
ELSE IF (ik == 2) THEN |
|
|
xuv = 0. |
|
|
ELSE IF (ik == 3) THEN |
|
|
xuv = 0.50 |
|
|
ELSE IF (ik == 4) THEN |
|
|
xuv = 0.25 |
|
|
END IF |
|
|
|
|
|
xo1 = 0. |
|
176 |
|
|
177 |
IF (ik == 1 .and. grossismx == 1.) THEN |
do while (rlonm025(is2) < - pi .and. is2 < iim) |
178 |
ii1 = 2 |
is2 = is2 + 1 |
|
ii2 = iim + 1 |
|
|
else |
|
|
ii1=1 |
|
|
ii2=iim |
|
|
END IF |
|
|
|
|
|
DO i = ii1, ii2 |
|
|
Xfi = - pi_d + (REAL(i) + xuv - decalx) * twopi_d / REAL(iim) |
|
|
|
|
|
it = nmax2 |
|
|
do while (xfi < xf(it) .and. it >= 1) |
|
|
it = it - 1 |
|
179 |
end do |
end do |
180 |
|
|
181 |
! Calcul de Xf(xi) |
if (rlonm025(is2) < - pi) then |
182 |
|
print *, 'Rlonm025 plus petit que - pi !' |
|
xi = xtild(it) |
|
|
|
|
|
IF (it == nmax2) THEN |
|
|
it = nmax2 -1 |
|
|
Xf(it + 1) = pi_d |
|
|
END IF |
|
|
|
|
|
! Appel de la routine qui calcule les coefficients a0, a1, |
|
|
! a2, a3 d'un polynome de degre 3 qui passe par les points |
|
|
! (Xf(it), xtild(it)) et (Xf(it + 1), xtild(it + 1)) |
|
|
|
|
|
CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), & |
|
|
xtild(it), xtild(it + 1), a0, a1, a2, a3) |
|
|
|
|
|
Xf1 = Xf(it) |
|
|
Xprimin = a1 + 2. * a2 * xi + 3. * a3 * xi * xi |
|
|
|
|
|
iter = 1 |
|
|
|
|
|
do |
|
|
xi = xi - (Xf1 - Xfi) / Xprimin |
|
|
IF (ABS(xi - xo1) <= my_eps .or. iter == 300) exit |
|
|
xo1 = xi |
|
|
xi2 = xi * xi |
|
|
Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
|
|
Xprimin = a1 + 2. * a2 * xi + 3. * a3 * xi2 |
|
|
end DO |
|
|
|
|
|
if (ABS(xi - xo1) > my_eps) then |
|
|
! iter == 300 |
|
|
print *, 'Pas de solution.' |
|
|
print *, i, xfi |
|
183 |
STOP 1 |
STOP 1 |
184 |
end if |
end if |
185 |
|
ELSE |
186 |
|
is2 = iim |
187 |
|
|
188 |
xxprim(i) = twopi_d / (REAL(iim) * Xprimin) |
do while (rlonm025(is2) > pi .and. is2 > 1) |
189 |
xvrai(i) = xi + xzoom |
is2 = is2 - 1 |
190 |
end DO |
end do |
|
|
|
|
IF (ik == 1 .and. grossismx == 1.) THEN |
|
|
xvrai(1) = xvrai(iim + 1)-twopi_d |
|
|
xxprim(1) = xxprim(iim + 1) |
|
|
END IF |
|
|
|
|
|
DO i = 1, iim |
|
|
xlon(i) = xvrai(i) |
|
|
xprimm(i) = xxprim(i) |
|
|
END DO |
|
191 |
|
|
192 |
DO i = 1, iim -1 |
if (rlonm025(is2) > pi) then |
193 |
IF (xvrai(i + 1) < xvrai(i)) THEN |
print *, 'Rlonm025 plus grand que pi !' |
|
print *, 'rlonu(', i + 1, ') < rlonu(', i, ')' |
|
194 |
STOP 1 |
STOP 1 |
195 |
END IF |
end if |
|
END DO |
|
|
|
|
|
IF (.not. (MINval(xvrai(:iim)) >= - pi_d - 0.1 & |
|
|
.and. MAXval(xvrai(:iim)) <= pi_d + 0.1)) THEN |
|
|
print *, & |
|
|
'Réorganisation des longitudes pour les avoir entre - pi et pi' |
|
|
|
|
|
IF (xzoom <= 0.) THEN |
|
|
IF (ik == 1) THEN |
|
|
i = 1 |
|
|
|
|
|
do while (xvrai(i) < - pi_d .and. i < iim) |
|
|
i = i + 1 |
|
|
end do |
|
|
|
|
|
if (xvrai(i) < - pi_d) then |
|
|
print *, 'Xvrai plus petit que - pi !' |
|
|
STOP 1 |
|
|
end if |
|
|
|
|
|
is2 = i |
|
|
END IF |
|
|
|
|
|
IF (is2 /= 1) THEN |
|
|
DO ii = is2, iim |
|
|
xlon(ii-is2 + 1) = xvrai(ii) |
|
|
xprimm(ii-is2 + 1) = xxprim(ii) |
|
|
END DO |
|
|
DO ii = 1, is2 -1 |
|
|
xlon(ii + iim-is2 + 1) = xvrai(ii) + twopi_d |
|
|
xprimm(ii + iim-is2 + 1) = xxprim(ii) |
|
|
END DO |
|
|
END IF |
|
|
ELSE |
|
|
IF (ik == 1) THEN |
|
|
i = iim |
|
|
|
|
|
do while (xvrai(i) > pi_d .and. i > 1) |
|
|
i = i - 1 |
|
|
end do |
|
|
|
|
|
if (xvrai(i) > pi_d) then |
|
|
print *, 'Xvrai plus grand que pi !' |
|
|
STOP 1 |
|
|
end if |
|
|
|
|
|
is2 = i |
|
|
END IF |
|
|
|
|
|
idif = iim -is2 |
|
|
|
|
|
DO ii = 1, is2 |
|
|
xlon(ii + idif) = xvrai(ii) |
|
|
xprimm(ii + idif) = xxprim(ii) |
|
|
END DO |
|
|
|
|
|
DO ii = 1, idif |
|
|
xlon(ii) = xvrai(ii + is2) - twopi_d |
|
|
xprimm(ii) = xxprim(ii + is2) |
|
|
END DO |
|
|
END IF |
|
|
END IF |
|
|
|
|
|
xlon(iim + 1) = xlon(1) + twopi_d |
|
|
xprimm(iim + 1) = xprimm(1) |
|
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|
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DO i = 1, iim + 1 |
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xvrai(i) = xlon(i) * 180. / pi_d |
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END DO |
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IF (ik == 1) THEN |
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DO i = 1, iim + 1 |
|
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rlonm025(i) = xlon(i) |
|
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xprimm025(i) = xprimm(i) |
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END DO |
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ELSE IF (ik == 2) THEN |
|
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rlonv = xlon |
|
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xprimv = xprimm |
|
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ELSE IF (ik == 3) THEN |
|
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DO i = 1, iim + 1 |
|
|
rlonu(i) = xlon(i) |
|
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xprimu(i) = xprimm(i) |
|
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END DO |
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ELSE IF (ik == 4) THEN |
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rlonp025 = xlon |
|
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xprimp025 = xprimm |
|
196 |
END IF |
END IF |
197 |
end DO loop_ik |
END IF |
198 |
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|
199 |
print * |
call principal_cshift(is2, rlonm025, xprimm025) |
200 |
|
call principal_cshift(is2, rlonv, xprimv) |
201 |
DO i = 1, iim |
call principal_cshift(is2, rlonu, xprimu) |
202 |
xlon(i) = rlonv(i + 1) - rlonv(i) |
call principal_cshift(is2, rlonp025, xprimp025) |
203 |
END DO |
|
204 |
champmin = 1e12 |
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
205 |
champmax = -1e12 |
print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees" |
206 |
DO i = 1, iim |
print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees" |
|
champmin = MIN(champmin, xlon(i)) |
|
|
champmax = MAX(champmax, xlon(i)) |
|
|
END DO |
|
|
champmin = champmin * 180. / pi_d |
|
|
champmax = champmax * 180. / pi_d |
|
207 |
|
|
208 |
|
! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
209 |
DO i = 1, iim + 1 |
DO i = 1, iim + 1 |
210 |
IF (rlonp025(i) < rlonv(i)) THEN |
IF (rlonp025(i) < rlonv(i)) THEN |
211 |
print *, ' Attention ! rlonp025 < rlonv', i |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
212 |
|
print *, "< rlonv(", i, ") = ", rlonv(i) |
213 |
STOP 1 |
STOP 1 |
214 |
END IF |
END IF |
215 |
|
|
216 |
IF (rlonv(i) < rlonm025(i)) THEN |
IF (rlonv(i) < rlonm025(i)) THEN |
217 |
print *, ' Attention ! rlonm025 > rlonv', i |
print *, 'rlonv(', i, ') = ', rlonv(i) |
218 |
|
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
219 |
STOP 1 |
STOP 1 |
220 |
END IF |
END IF |
221 |
|
|
226 |
END IF |
END IF |
227 |
END DO |
END DO |
228 |
|
|
|
print *, ' Longitudes ' |
|
|
print 3, champmin, champmax |
|
|
|
|
|
3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
|
|
' d environ ', f0.2, ' degres ', /, & |
|
|
' alors que la maille en dehors de la zone du zoom est ', & |
|
|
"d'environ ", f0.2, ' degres ') |
|
|
|
|
229 |
END SUBROUTINE fxhyp |
END SUBROUTINE fxhyp |
230 |
|
|
231 |
end module fxhyp_m |
end module fxhyp_m |