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 |
78 |
SUBROUTINE fxhyp(xzoomdeg, grossism, dzooma, tau, rlonm025, xprimm025, & |
8 |
|
|
rlonv, xprimv, rlonu, xprimu, rlonp025, xprimp025, champmin, champmax) |
9 |
guez |
3 |
|
10 |
guez |
91 |
! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
11 |
|
|
! Author: P. Le Van |
12 |
guez |
3 |
|
13 |
guez |
78 |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
14 |
|
|
! une fonction f(x) à tangente hyperbolique. |
15 |
guez |
3 |
|
16 |
guez |
78 |
! On doit avoir grossism \times dzoom < pi (radians), en longitude. |
17 |
guez |
3 |
|
18 |
guez |
78 |
USE dimens_m, ONLY: iim |
19 |
|
|
USE paramet_m, ONLY: iip1 |
20 |
guez |
3 |
|
21 |
guez |
91 |
REAL, intent(in):: xzoomdeg |
22 |
guez |
3 |
|
23 |
guez |
91 |
REAL, intent(in):: grossism |
24 |
|
|
! grossissement (= 2 si 2 fois, = 3 si 3 fois, etc.) |
25 |
guez |
3 |
|
26 |
guez |
91 |
REAL, intent(in):: dzooma ! distance totale de la zone du zoom |
27 |
guez |
3 |
|
28 |
guez |
112 |
REAL, intent(in):: tau |
29 |
guez |
91 |
! raideur de la transition de l'intérieur à l'extérieur du zoom |
30 |
guez |
3 |
|
31 |
guez |
91 |
! arguments de sortie |
32 |
guez |
3 |
|
33 |
guez |
91 |
REAL, dimension(iip1):: rlonm025, xprimm025, rlonv, xprimv |
34 |
|
|
real, dimension(iip1):: rlonu, xprimu, rlonp025, xprimp025 |
35 |
guez |
3 |
|
36 |
guez |
91 |
DOUBLE PRECISION, intent(out):: champmin, champmax |
37 |
guez |
3 |
|
38 |
guez |
91 |
! Local: |
39 |
guez |
3 |
|
40 |
guez |
91 |
INTEGER, PARAMETER:: nmax = 30000, nmax2 = 2*nmax |
41 |
|
|
|
42 |
|
|
LOGICAL, PARAMETER:: scal180 = .TRUE. |
43 |
|
|
! scal180 = .TRUE. si on veut avoir le premier point scalaire pour |
44 |
|
|
! une grille reguliere (grossism = 1., tau=0., clon=0.) a |
45 |
|
|
! -180. degres. sinon scal180 = .FALSE. |
46 |
|
|
|
47 |
guez |
78 |
REAL dzoom |
48 |
|
|
DOUBLE PRECISION xlon(iip1), xprimm(iip1), xuv |
49 |
|
|
DOUBLE PRECISION xtild(0:nmax2) |
50 |
|
|
DOUBLE PRECISION fhyp(0:nmax2), ffdx, beta, Xprimt(0:nmax2) |
51 |
|
|
DOUBLE PRECISION Xf(0:nmax2), xxpr(0:nmax2) |
52 |
|
|
DOUBLE PRECISION xvrai(iip1), xxprim(iip1) |
53 |
|
|
DOUBLE PRECISION pi, depi, epsilon, xzoom, fa, fb |
54 |
|
|
DOUBLE PRECISION Xf1, Xfi, a0, a1, a2, a3, xi2 |
55 |
|
|
INTEGER i, it, ik, iter, ii, idif, ii1, ii2 |
56 |
|
|
DOUBLE PRECISION xi, xo1, xmoy, xlon2, fxm, Xprimin |
57 |
guez |
91 |
DOUBLE PRECISION decalx |
58 |
guez |
78 |
INTEGER is2 |
59 |
|
|
SAVE is2 |
60 |
guez |
3 |
|
61 |
guez |
91 |
!---------------------------------------------------------------------- |
62 |
|
|
|
63 |
guez |
78 |
pi = 2. * ASIN(1.) |
64 |
|
|
depi = 2. * pi |
65 |
|
|
epsilon = 1.e-3 |
66 |
|
|
xzoom = xzoomdeg * pi/180. |
67 |
guez |
3 |
|
68 |
guez |
78 |
decalx = .75 |
69 |
guez |
91 |
IF (grossism == 1. .AND. scal180) THEN |
70 |
guez |
78 |
decalx = 1. |
71 |
|
|
ENDIF |
72 |
guez |
3 |
|
73 |
guez |
91 |
print *, 'FXHYP scal180, decalx', scal180, decalx |
74 |
guez |
3 |
|
75 |
guez |
91 |
IF (dzooma.LT.1.) THEN |
76 |
guez |
78 |
dzoom = dzooma * depi |
77 |
guez |
91 |
ELSEIF (dzooma.LT. 25.) THEN |
78 |
|
|
print *, "Le paramètre dzoomx pour fxhyp est trop petit. " & |
79 |
|
|
// "L'augmenter et relancer." |
80 |
guez |
78 |
STOP 1 |
81 |
|
|
ELSE |
82 |
|
|
dzoom = dzooma * pi/180. |
83 |
guez |
112 |
END IF |
84 |
guez |
3 |
|
85 |
guez |
91 |
print *, ' xzoom(rad), grossism, tau, dzoom (rad):' |
86 |
|
|
print *, xzoom, grossism, tau, dzoom |
87 |
guez |
3 |
|
88 |
guez |
78 |
DO i = 0, nmax2 |
89 |
guez |
112 |
xtild(i) = - pi + REAL(i) * depi /nmax2 |
90 |
guez |
78 |
ENDDO |
91 |
|
|
|
92 |
|
|
DO i = nmax, nmax2 |
93 |
|
|
fa = tau* (dzoom/2. - xtild(i)) |
94 |
|
|
fb = xtild(i) * (pi - xtild(i)) |
95 |
|
|
|
96 |
guez |
91 |
IF (200.* fb .LT. - fa) THEN |
97 |
guez |
78 |
fhyp (i) = - 1. |
98 |
guez |
91 |
ELSEIF (200. * fb .LT. fa) THEN |
99 |
guez |
78 |
fhyp (i) = 1. |
100 |
guez |
3 |
ELSE |
101 |
guez |
91 |
IF (ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN |
102 |
|
|
IF (200.*fb + fa.LT.1.e-10) THEN |
103 |
guez |
78 |
fhyp (i) = - 1. |
104 |
guez |
91 |
ELSEIF (200.*fb - fa.LT.1.e-10) THEN |
105 |
guez |
78 |
fhyp (i) = 1. |
106 |
|
|
ENDIF |
107 |
|
|
ELSE |
108 |
|
|
fhyp (i) = TANH (fa/fb) |
109 |
|
|
ENDIF |
110 |
guez |
112 |
END IF |
111 |
guez |
3 |
|
112 |
guez |
91 |
IF (xtild(i) == 0.) fhyp(i) = 1. |
113 |
|
|
IF (xtild(i) == pi) fhyp(i) = -1. |
114 |
guez |
112 |
END DO |
115 |
guez |
3 |
|
116 |
guez |
91 |
! Calcul de beta |
117 |
guez |
3 |
|
118 |
guez |
78 |
ffdx = 0. |
119 |
guez |
3 |
|
120 |
guez |
91 |
DO i = nmax + 1, nmax2 |
121 |
guez |
78 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
122 |
|
|
fa = tau* (dzoom/2. - xmoy) |
123 |
|
|
fb = xmoy * (pi - xmoy) |
124 |
|
|
|
125 |
guez |
91 |
IF (200.* fb .LT. - fa) THEN |
126 |
guez |
78 |
fxm = - 1. |
127 |
guez |
91 |
ELSEIF (200. * fb .LT. fa) THEN |
128 |
guez |
78 |
fxm = 1. |
129 |
|
|
ELSE |
130 |
guez |
91 |
IF (ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN |
131 |
|
|
IF (200.*fb + fa.LT.1.e-10) THEN |
132 |
guez |
78 |
fxm = - 1. |
133 |
guez |
91 |
ELSEIF (200.*fb - fa.LT.1.e-10) THEN |
134 |
guez |
78 |
fxm = 1. |
135 |
|
|
ENDIF |
136 |
|
|
ELSE |
137 |
|
|
fxm = TANH (fa/fb) |
138 |
|
|
ENDIF |
139 |
guez |
3 |
ENDIF |
140 |
|
|
|
141 |
guez |
91 |
IF (xmoy == 0.) fxm = 1. |
142 |
|
|
IF (xmoy == pi) fxm = -1. |
143 |
guez |
3 |
|
144 |
guez |
78 |
ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
145 |
|
|
ENDDO |
146 |
guez |
3 |
|
147 |
guez |
78 |
beta = (grossism * ffdx - pi) / (ffdx - pi) |
148 |
guez |
3 |
|
149 |
guez |
91 |
IF (2.*beta - grossism <= 0.) THEN |
150 |
|
|
print *, 'Attention ! La valeur beta calculée dans fxhyp est mauvaise.' |
151 |
|
|
print *, 'Modifier les valeurs de grossismx, tau ou dzoomx et relancer.' |
152 |
guez |
78 |
STOP 1 |
153 |
guez |
112 |
END IF |
154 |
guez |
78 |
|
155 |
guez |
91 |
! calcul de Xprimt |
156 |
guez |
78 |
|
157 |
|
|
DO i = nmax, nmax2 |
158 |
|
|
Xprimt(i) = beta + (grossism - beta) * fhyp(i) |
159 |
guez |
112 |
END DO |
160 |
guez |
78 |
|
161 |
guez |
91 |
DO i = nmax + 1, nmax2 |
162 |
guez |
78 |
Xprimt(nmax2 - i) = Xprimt(i) |
163 |
guez |
112 |
END DO |
164 |
guez |
78 |
|
165 |
guez |
91 |
! Calcul de Xf |
166 |
guez |
78 |
|
167 |
|
|
Xf(0) = - pi |
168 |
|
|
|
169 |
guez |
91 |
DO i = nmax + 1, nmax2 |
170 |
guez |
78 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
171 |
|
|
fa = tau* (dzoom/2. - xmoy) |
172 |
|
|
fb = xmoy * (pi - xmoy) |
173 |
|
|
|
174 |
guez |
91 |
IF (200.* fb .LT. - fa) THEN |
175 |
guez |
78 |
fxm = - 1. |
176 |
guez |
91 |
ELSEIF (200. * fb .LT. fa) THEN |
177 |
guez |
78 |
fxm = 1. |
178 |
guez |
3 |
ELSE |
179 |
guez |
78 |
fxm = TANH (fa/fb) |
180 |
guez |
3 |
ENDIF |
181 |
|
|
|
182 |
guez |
91 |
IF (xmoy == 0.) fxm = 1. |
183 |
|
|
IF (xmoy == pi) fxm = -1. |
184 |
guez |
78 |
xxpr(i) = beta + (grossism - beta) * fxm |
185 |
|
|
ENDDO |
186 |
guez |
3 |
|
187 |
guez |
91 |
DO i = nmax + 1, nmax2 |
188 |
|
|
xxpr(nmax2-i + 1) = xxpr(i) |
189 |
guez |
78 |
ENDDO |
190 |
guez |
3 |
|
191 |
guez |
78 |
DO i=1, nmax2 |
192 |
|
|
Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
193 |
|
|
ENDDO |
194 |
guez |
3 |
|
195 |
guez |
91 |
! xuv = 0. si calcul aux pts scalaires |
196 |
|
|
! xuv = 0.5 si calcul aux pts U |
197 |
guez |
3 |
|
198 |
guez |
91 |
print * |
199 |
guez |
3 |
|
200 |
guez |
78 |
DO ik = 1, 4 |
201 |
guez |
91 |
IF (ik == 1) THEN |
202 |
guez |
78 |
xuv = -0.25 |
203 |
guez |
91 |
ELSE IF (ik == 2) THEN |
204 |
guez |
78 |
xuv = 0. |
205 |
guez |
91 |
ELSE IF (ik == 3) THEN |
206 |
guez |
78 |
xuv = 0.50 |
207 |
guez |
91 |
ELSE IF (ik == 4) THEN |
208 |
guez |
78 |
xuv = 0.25 |
209 |
guez |
3 |
ENDIF |
210 |
|
|
|
211 |
guez |
78 |
xo1 = 0. |
212 |
guez |
3 |
|
213 |
guez |
78 |
ii1=1 |
214 |
|
|
ii2=iim |
215 |
guez |
91 |
IF (ik == 1.and.grossism == 1.) THEN |
216 |
guez |
78 |
ii1 = 2 |
217 |
guez |
91 |
ii2 = iim + 1 |
218 |
guez |
78 |
ENDIF |
219 |
guez |
91 |
|
220 |
guez |
78 |
DO i = ii1, ii2 |
221 |
guez |
112 |
xlon2 = - pi + (REAL(i) + xuv - decalx) * depi / REAL(iim) |
222 |
guez |
78 |
Xfi = xlon2 |
223 |
guez |
3 |
|
224 |
guez |
91 |
it = nmax2 |
225 |
|
|
do while (xfi < xf(it) .and. it >= 1) |
226 |
|
|
it = it - 1 |
227 |
|
|
end do |
228 |
guez |
3 |
|
229 |
guez |
91 |
! Calcul de Xf(xi) |
230 |
guez |
3 |
|
231 |
guez |
78 |
xi = xtild(it) |
232 |
guez |
3 |
|
233 |
guez |
91 |
IF (it == nmax2) THEN |
234 |
guez |
78 |
it = nmax2 -1 |
235 |
guez |
91 |
Xf(it + 1) = pi |
236 |
guez |
78 |
ENDIF |
237 |
guez |
3 |
|
238 |
guez |
91 |
! Appel de la routine qui calcule les coefficients a0, a1, |
239 |
|
|
! a2, a3 d'un polynome de degre 3 qui passe par les points |
240 |
|
|
! (Xf(it), xtild(it)) et (Xf(it + 1), xtild(it + 1)) |
241 |
guez |
3 |
|
242 |
guez |
91 |
CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), & |
243 |
|
|
xtild(it), xtild(it + 1), a0, a1, a2, a3) |
244 |
guez |
78 |
|
245 |
|
|
Xf1 = Xf(it) |
246 |
|
|
Xprimin = a1 + 2.* a2 * xi + 3.*a3 * xi *xi |
247 |
|
|
|
248 |
guez |
91 |
iter = 1 |
249 |
|
|
|
250 |
|
|
do |
251 |
guez |
78 |
xi = xi - (Xf1 - Xfi)/ Xprimin |
252 |
guez |
91 |
IF (ABS(xi - xo1) <= epsilon .or. iter == 300) exit |
253 |
guez |
78 |
xo1 = xi |
254 |
|
|
xi2 = xi * xi |
255 |
|
|
Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
256 |
|
|
Xprimin = a1 + 2.* a2 * xi + 3.* a3 * xi2 |
257 |
|
|
end DO |
258 |
guez |
3 |
|
259 |
guez |
91 |
if (ABS(xi - xo1) > epsilon) then |
260 |
|
|
! iter == 300 |
261 |
|
|
print *, 'Pas de solution.' |
262 |
|
|
print *, i, xlon2 |
263 |
|
|
STOP 1 |
264 |
|
|
end if |
265 |
|
|
|
266 |
|
|
|
267 |
guez |
112 |
xxprim(i) = depi/ (REAL(iim) * Xprimin) |
268 |
guez |
78 |
xvrai(i) = xi + xzoom |
269 |
|
|
end DO |
270 |
guez |
3 |
|
271 |
guez |
91 |
IF (ik == 1.and.grossism == 1.) THEN |
272 |
guez |
78 |
xvrai(1) = xvrai(iip1)-depi |
273 |
|
|
xxprim(1) = xxprim(iip1) |
274 |
guez |
3 |
ENDIF |
275 |
guez |
78 |
DO i = 1, iim |
276 |
|
|
xlon(i) = xvrai(i) |
277 |
|
|
xprimm(i) = xxprim(i) |
278 |
guez |
3 |
ENDDO |
279 |
|
|
DO i = 1, iim -1 |
280 |
guez |
91 |
IF (xvrai(i + 1).LT. xvrai(i)) THEN |
281 |
|
|
print *, 'Problème avec rlonu(', i + 1, & |
282 |
|
|
') plus petit que rlonu(', i, ')' |
283 |
|
|
STOP 1 |
284 |
guez |
78 |
ENDIF |
285 |
guez |
3 |
ENDDO |
286 |
|
|
|
287 |
guez |
91 |
! Reorganisation des longitudes pour les avoir entre - pi et pi |
288 |
guez |
78 |
|
289 |
|
|
champmin = 1.e12 |
290 |
guez |
3 |
champmax = -1.e12 |
291 |
|
|
DO i = 1, iim |
292 |
guez |
78 |
champmin = MIN(champmin, xvrai(i)) |
293 |
|
|
champmax = MAX(champmax, xvrai(i)) |
294 |
guez |
3 |
ENDDO |
295 |
|
|
|
296 |
guez |
91 |
IF (.not. (champmin >= -pi-0.10.and.champmax <= pi + 0.10)) THEN |
297 |
|
|
print *, 'Reorganisation des longitudes pour avoir entre - pi', & |
298 |
guez |
78 |
' et pi ' |
299 |
guez |
3 |
|
300 |
guez |
91 |
IF (xzoom <= 0.) THEN |
301 |
|
|
IF (ik == 1) THEN |
302 |
|
|
i = 1 |
303 |
|
|
|
304 |
|
|
do while (xvrai(i) < - pi .and. i < iim) |
305 |
|
|
i = i + 1 |
306 |
|
|
end do |
307 |
|
|
|
308 |
|
|
if (xvrai(i) < - pi) then |
309 |
|
|
print *, ' PBS. 1 ! Xvrai plus petit que - pi ! ' |
310 |
|
|
STOP 1 |
311 |
|
|
end if |
312 |
|
|
|
313 |
guez |
78 |
is2 = i |
314 |
|
|
ENDIF |
315 |
|
|
|
316 |
guez |
91 |
IF (is2.NE. 1) THEN |
317 |
guez |
78 |
DO ii = is2, iim |
318 |
guez |
91 |
xlon (ii-is2 + 1) = xvrai(ii) |
319 |
|
|
xprimm(ii-is2 + 1) = xxprim(ii) |
320 |
guez |
78 |
ENDDO |
321 |
|
|
DO ii = 1, is2 -1 |
322 |
guez |
91 |
xlon (ii + iim-is2 + 1) = xvrai(ii) + depi |
323 |
|
|
xprimm(ii + iim-is2 + 1) = xxprim(ii) |
324 |
guez |
78 |
ENDDO |
325 |
|
|
ENDIF |
326 |
|
|
ELSE |
327 |
guez |
91 |
IF (ik == 1) THEN |
328 |
|
|
i = iim |
329 |
|
|
|
330 |
|
|
do while (xvrai(i) > pi .and. i > 1) |
331 |
|
|
i = i - 1 |
332 |
|
|
end do |
333 |
|
|
|
334 |
|
|
if (xvrai(i) > pi) then |
335 |
|
|
print *, ' PBS. 2 ! Xvrai plus grand que pi ! ' |
336 |
|
|
STOP 1 |
337 |
|
|
end if |
338 |
|
|
|
339 |
guez |
78 |
is2 = i |
340 |
|
|
ENDIF |
341 |
|
|
idif = iim -is2 |
342 |
|
|
DO ii = 1, is2 |
343 |
guez |
91 |
xlon (ii + idif) = xvrai(ii) |
344 |
|
|
xprimm(ii + idif) = xxprim(ii) |
345 |
guez |
78 |
ENDDO |
346 |
|
|
DO ii = 1, idif |
347 |
guez |
91 |
xlon (ii) = xvrai (ii + is2) - depi |
348 |
|
|
xprimm(ii) = xxprim(ii + is2) |
349 |
guez |
78 |
ENDDO |
350 |
guez |
3 |
ENDIF |
351 |
guez |
78 |
ENDIF |
352 |
guez |
3 |
|
353 |
guez |
91 |
! Fin de la reorganisation |
354 |
guez |
3 |
|
355 |
guez |
78 |
xlon (iip1) = xlon(1) + depi |
356 |
|
|
xprimm(iip1) = xprimm (1) |
357 |
guez |
3 |
|
358 |
guez |
91 |
DO i = 1, iim + 1 |
359 |
guez |
78 |
xvrai(i) = xlon(i)*180./pi |
360 |
|
|
ENDDO |
361 |
guez |
3 |
|
362 |
guez |
91 |
IF (ik == 1) THEN |
363 |
|
|
DO i = 1, iim + 1 |
364 |
guez |
78 |
rlonm025(i) = xlon(i) |
365 |
|
|
xprimm025(i) = xprimm(i) |
366 |
|
|
ENDDO |
367 |
guez |
91 |
ELSE IF (ik == 2) THEN |
368 |
guez |
78 |
DO i = 1, iim + 1 |
369 |
|
|
rlonv(i) = xlon(i) |
370 |
|
|
xprimv(i) = xprimm(i) |
371 |
|
|
ENDDO |
372 |
guez |
91 |
ELSE IF (ik == 3) THEN |
373 |
guez |
78 |
DO i = 1, iim + 1 |
374 |
|
|
rlonu(i) = xlon(i) |
375 |
|
|
xprimu(i) = xprimm(i) |
376 |
|
|
ENDDO |
377 |
guez |
91 |
ELSE IF (ik == 4) THEN |
378 |
guez |
78 |
DO i = 1, iim + 1 |
379 |
|
|
rlonp025(i) = xlon(i) |
380 |
|
|
xprimp025(i) = xprimm(i) |
381 |
|
|
ENDDO |
382 |
|
|
ENDIF |
383 |
|
|
end DO |
384 |
guez |
3 |
|
385 |
guez |
91 |
print * |
386 |
guez |
3 |
|
387 |
guez |
78 |
DO i = 1, iim |
388 |
guez |
91 |
xlon(i) = rlonv(i + 1) - rlonv(i) |
389 |
guez |
78 |
ENDDO |
390 |
|
|
champmin = 1.e12 |
391 |
|
|
champmax = -1.e12 |
392 |
|
|
DO i = 1, iim |
393 |
|
|
champmin = MIN(champmin, xlon(i)) |
394 |
|
|
champmax = MAX(champmax, xlon(i)) |
395 |
|
|
ENDDO |
396 |
|
|
champmin = champmin * 180./pi |
397 |
|
|
champmax = champmax * 180./pi |
398 |
guez |
3 |
|
399 |
guez |
78 |
END SUBROUTINE fxhyp |
400 |
|
|
|
401 |
|
|
end module fxhyp_m |