1 |
guez |
78 |
module fxhyp_m |
2 |
guez |
3 |
|
3 |
guez |
78 |
IMPLICIT NONE |
4 |
guez |
3 |
|
5 |
guez |
78 |
contains |
6 |
guez |
3 |
|
7 |
guez |
119 |
SUBROUTINE fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025) |
8 |
guez |
3 |
|
9 |
guez |
91 |
! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
10 |
guez |
119 |
! Author: P. Le Van, from formulas by R. Sadourny |
11 |
guez |
3 |
|
12 |
guez |
78 |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
13 |
guez |
119 |
! une fonction f(x) à dérivée tangente hyperbolique. |
14 |
guez |
3 |
|
15 |
guez |
121 |
! Il vaut mieux avoir : grossismx \times dzoom < pi |
16 |
guez |
3 |
|
17 |
guez |
120 |
! Le premier point scalaire pour une grille regulière (grossismx = |
18 |
|
|
! 1., taux=0., clon=0.) est à - 180 degrés. |
19 |
|
|
|
20 |
guez |
78 |
USE dimens_m, ONLY: iim |
21 |
guez |
121 |
use fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax |
22 |
guez |
124 |
use nr_util, only: pi, pi_d, twopi_d, arth |
23 |
|
|
use principal_cshift_m, only: principal_cshift |
24 |
guez |
119 |
use serre, only: clon, grossismx, dzoomx, taux |
25 |
guez |
3 |
|
26 |
guez |
119 |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
27 |
|
|
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
28 |
guez |
3 |
|
29 |
guez |
91 |
! Local: |
30 |
guez |
119 |
real rlonm025(iim + 1), rlonp025(iim + 1) |
31 |
guez |
78 |
REAL dzoom |
32 |
guez |
124 |
real d_rlonv(iim) |
33 |
guez |
121 |
DOUBLE PRECISION xtild(0:2 * nmax) |
34 |
|
|
DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax) |
35 |
|
|
DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax) |
36 |
|
|
DOUBLE PRECISION xzoom, fa, fb |
37 |
guez |
124 |
INTEGER i, is2 |
38 |
guez |
121 |
DOUBLE PRECISION xmoy, fxm |
39 |
guez |
91 |
DOUBLE PRECISION decalx |
40 |
guez |
3 |
|
41 |
guez |
91 |
!---------------------------------------------------------------------- |
42 |
|
|
|
43 |
guez |
120 |
print *, "Call sequence information: fxhyp" |
44 |
|
|
|
45 |
guez |
121 |
dzoom = dzoomx * twopi_d |
46 |
|
|
xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1) |
47 |
guez |
3 |
|
48 |
guez |
121 |
! Compute fhyp: |
49 |
|
|
DO i = nmax, 2 * nmax |
50 |
guez |
120 |
fa = taux * (dzoom / 2. - xtild(i)) |
51 |
guez |
119 |
fb = xtild(i) * (pi_d - xtild(i)) |
52 |
guez |
78 |
|
53 |
guez |
120 |
IF (200. * fb < - fa) THEN |
54 |
guez |
119 |
fhyp(i) = - 1. |
55 |
|
|
ELSE IF (200. * fb < fa) THEN |
56 |
|
|
fhyp(i) = 1. |
57 |
guez |
3 |
ELSE |
58 |
guez |
121 |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
59 |
guez |
120 |
IF (200. * fb + fa < 1e-10) THEN |
60 |
guez |
119 |
fhyp(i) = - 1. |
61 |
guez |
120 |
ELSE IF (200. * fb - fa < 1e-10) THEN |
62 |
guez |
119 |
fhyp(i) = 1. |
63 |
|
|
END IF |
64 |
guez |
78 |
ELSE |
65 |
guez |
119 |
fhyp(i) = TANH(fa / fb) |
66 |
|
|
END IF |
67 |
guez |
112 |
END IF |
68 |
guez |
3 |
|
69 |
guez |
91 |
IF (xtild(i) == 0.) fhyp(i) = 1. |
70 |
guez |
119 |
IF (xtild(i) == pi_d) fhyp(i) = -1. |
71 |
guez |
112 |
END DO |
72 |
guez |
3 |
|
73 |
guez |
91 |
! Calcul de beta |
74 |
guez |
3 |
|
75 |
guez |
78 |
ffdx = 0. |
76 |
guez |
3 |
|
77 |
guez |
121 |
DO i = nmax + 1, 2 * nmax |
78 |
guez |
78 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
79 |
guez |
120 |
fa = taux * (dzoom / 2. - xmoy) |
80 |
guez |
119 |
fb = xmoy * (pi_d - xmoy) |
81 |
guez |
78 |
|
82 |
guez |
120 |
IF (200. * fb < - fa) THEN |
83 |
guez |
78 |
fxm = - 1. |
84 |
guez |
119 |
ELSE IF (200. * fb < fa) THEN |
85 |
guez |
78 |
fxm = 1. |
86 |
|
|
ELSE |
87 |
guez |
121 |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
88 |
guez |
120 |
IF (200. * fb + fa < 1e-10) THEN |
89 |
guez |
78 |
fxm = - 1. |
90 |
guez |
120 |
ELSE IF (200. * fb - fa < 1e-10) THEN |
91 |
guez |
78 |
fxm = 1. |
92 |
guez |
119 |
END IF |
93 |
guez |
78 |
ELSE |
94 |
guez |
119 |
fxm = TANH(fa / fb) |
95 |
|
|
END IF |
96 |
|
|
END IF |
97 |
guez |
3 |
|
98 |
guez |
91 |
IF (xmoy == 0.) fxm = 1. |
99 |
guez |
119 |
IF (xmoy == pi_d) fxm = -1. |
100 |
guez |
3 |
|
101 |
guez |
78 |
ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
102 |
guez |
119 |
END DO |
103 |
guez |
3 |
|
104 |
guez |
121 |
print *, "ffdx = ", ffdx |
105 |
guez |
119 |
beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
106 |
guez |
121 |
print *, "beta = ", beta |
107 |
guez |
3 |
|
108 |
guez |
119 |
IF (2. * beta - grossismx <= 0.) THEN |
109 |
guez |
122 |
print *, 'Bad choice of grossismx, taux, dzoomx.' |
110 |
|
|
print *, 'Decrease dzoomx or grossismx.' |
111 |
guez |
78 |
STOP 1 |
112 |
guez |
112 |
END IF |
113 |
guez |
78 |
|
114 |
guez |
91 |
! calcul de Xprimt |
115 |
guez |
121 |
Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp |
116 |
|
|
xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1) |
117 |
guez |
78 |
|
118 |
guez |
121 |
! Calcul de Xf |
119 |
guez |
78 |
|
120 |
guez |
121 |
DO i = nmax + 1, 2 * nmax |
121 |
guez |
78 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
122 |
guez |
120 |
fa = taux * (dzoom / 2. - xmoy) |
123 |
guez |
119 |
fb = xmoy * (pi_d - xmoy) |
124 |
guez |
78 |
|
125 |
guez |
120 |
IF (200. * fb < - fa) THEN |
126 |
guez |
78 |
fxm = - 1. |
127 |
guez |
119 |
ELSE IF (200. * fb < fa) THEN |
128 |
guez |
78 |
fxm = 1. |
129 |
guez |
3 |
ELSE |
130 |
guez |
119 |
fxm = TANH(fa / fb) |
131 |
|
|
END IF |
132 |
guez |
3 |
|
133 |
guez |
91 |
IF (xmoy == 0.) fxm = 1. |
134 |
guez |
119 |
IF (xmoy == pi_d) fxm = -1. |
135 |
|
|
xxpr(i) = beta + (grossismx - beta) * fxm |
136 |
|
|
END DO |
137 |
guez |
3 |
|
138 |
guez |
121 |
xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1) |
139 |
guez |
3 |
|
140 |
guez |
121 |
Xf(0) = - pi_d |
141 |
|
|
|
142 |
|
|
DO i=1, 2 * nmax - 1 |
143 |
guez |
78 |
Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
144 |
guez |
119 |
END DO |
145 |
guez |
3 |
|
146 |
guez |
121 |
Xf(2 * nmax) = pi_d |
147 |
guez |
3 |
|
148 |
guez |
123 |
IF (grossismx == 1.) THEN |
149 |
|
|
decalx = 1d0 |
150 |
|
|
else |
151 |
|
|
decalx = 0.75d0 |
152 |
|
|
END IF |
153 |
|
|
|
154 |
|
|
xzoom = clon * pi_d / 180d0 |
155 |
guez |
124 |
call fxhyp_loop_ik(1, decalx, xf, xtild, Xprimt, xzoom, rlonm025(:iim), & |
156 |
|
|
xprimm025(:iim), xuv = - 0.25d0) |
157 |
|
|
call fxhyp_loop_ik(2, decalx, xf, xtild, Xprimt, xzoom, rlonv(:iim), & |
158 |
|
|
xprimv(:iim), xuv = 0d0) |
159 |
|
|
call fxhyp_loop_ik(3, decalx, xf, xtild, Xprimt, xzoom, rlonu(:iim), & |
160 |
|
|
xprimu(:iim), xuv = 0.5d0) |
161 |
|
|
call fxhyp_loop_ik(4, decalx, xf, xtild, Xprimt, xzoom, rlonp025(:iim), & |
162 |
|
|
xprimp025(:iim), xuv = 0.25d0) |
163 |
guez |
120 |
|
164 |
guez |
124 |
is2 = 0 |
165 |
guez |
3 |
|
166 |
guez |
124 |
IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
167 |
|
|
.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
168 |
|
|
IF (clon <= 0.) THEN |
169 |
|
|
is2 = 1 |
170 |
guez |
3 |
|
171 |
guez |
124 |
do while (rlonm025(is2) < - pi .and. is2 < iim) |
172 |
|
|
is2 = is2 + 1 |
173 |
|
|
end do |
174 |
|
|
|
175 |
|
|
if (rlonm025(is2) < - pi) then |
176 |
|
|
print *, 'Rlonm025 plus petit que - pi !' |
177 |
|
|
STOP 1 |
178 |
|
|
end if |
179 |
|
|
ELSE |
180 |
|
|
is2 = iim |
181 |
|
|
|
182 |
|
|
do while (rlonm025(is2) > pi .and. is2 > 1) |
183 |
|
|
is2 = is2 - 1 |
184 |
|
|
end do |
185 |
|
|
|
186 |
|
|
if (rlonm025(is2) > pi) then |
187 |
|
|
print *, 'Rlonm025 plus grand que pi !' |
188 |
|
|
STOP 1 |
189 |
|
|
end if |
190 |
|
|
END IF |
191 |
|
|
END IF |
192 |
|
|
|
193 |
|
|
call principal_cshift(is2, rlonm025, xprimm025) |
194 |
|
|
call principal_cshift(is2, rlonv, xprimv) |
195 |
|
|
call principal_cshift(is2, rlonu, xprimu) |
196 |
|
|
call principal_cshift(is2, rlonp025, xprimp025) |
197 |
|
|
|
198 |
|
|
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
199 |
|
|
print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees" |
200 |
|
|
print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees" |
201 |
|
|
|
202 |
guez |
119 |
DO i = 1, iim + 1 |
203 |
|
|
IF (rlonp025(i) < rlonv(i)) THEN |
204 |
guez |
121 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
205 |
|
|
print *, "< rlonv(", i, ") = ", rlonv(i) |
206 |
guez |
119 |
STOP 1 |
207 |
|
|
END IF |
208 |
|
|
|
209 |
|
|
IF (rlonv(i) < rlonm025(i)) THEN |
210 |
guez |
121 |
print *, 'rlonv(', i, ') = ', rlonv(i) |
211 |
|
|
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
212 |
guez |
119 |
STOP 1 |
213 |
|
|
END IF |
214 |
|
|
|
215 |
|
|
IF (rlonp025(i) > rlonu(i)) THEN |
216 |
guez |
120 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
217 |
|
|
print *, "> rlonu(", i, ") = ", rlonu(i) |
218 |
guez |
119 |
STOP 1 |
219 |
|
|
END IF |
220 |
|
|
END DO |
221 |
|
|
|
222 |
guez |
78 |
END SUBROUTINE fxhyp |
223 |
|
|
|
224 |
|
|
end module fxhyp_m |