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Revision 313 - (hide annotations)
Mon Dec 10 15:54:30 2018 UTC (5 years, 6 months ago) by guez
File size: 22865 byte(s) 
Remove module temps. Move variable itau_dyn from module temps to
module dynetat0_m, where it is defined.

Split module dynetat0_m into dynetat0_m and dynetat0_chosen_m. The
motivation is to create smaller modules. Procedures principal_cshift
and invert_zoomx had to stay in dynetat0_m because of circular
dependency. Now we will be able to move them away. Module variables
which are chosen by the user, not computed, in program ce0l go to
dynetat0_chosen_m: day_ref, annee_ref, clon, clat, grossismx,
grossismy, dzoomx, dzoomy, taux, tauy.

Move variable "pa" from module disvert_m to module
dynetat0_chosen_m. Define "pa" in dynetat0_chosen rather than etat0.

Define day_ref and annee_ref in procedure read_serre rather than
etat0.
1 guez 3 module dynetat0_m
2    
3 guez 265 use dimensions, only: iim, jjm
4 guez 139
5 guez 3 IMPLICIT NONE
6    
7 guez 277 private iim, jjm, principal_cshift, invert_zoom_x, funcd
8 guez 139
9 guez 313 INTEGER, protected, save:: day_ini
10 guez 130 ! day number at the beginning of the run, based at value 1 on
11     ! January 1st of annee_ref
12 guez 25
13 guez 313 real, protected, save:: rlatu(jjm + 1)
14 guez 156 ! latitudes of points of the "scalar" and "u" grid, in rad
15 guez 139
16 guez 313 real, protected, save:: rlatv(jjm)
17 guez 156 ! latitudes of points of the "v" grid, in rad, in decreasing order
18 guez 139
19 guez 313 real, protected, save:: rlonu(iim + 1)
20 guez 278 ! longitudes of points of the "u" grid, in rad
21 guez 139
22 guez 313 real, protected, save:: rlonv(iim + 1)
23 guez 156 ! longitudes of points of the "scalar" and "v" grid, in rad
24 guez 139
25 guez 313 real, protected, save:: xprimu(iim + 1), xprimv(iim + 1)
26 guez 156 ! 2 pi / iim * (derivative of the longitudinal zoom function)(rlon[uv])
27 guez 139
28 guez 313 REAL, protected, save:: xprimm025(iim + 1), xprimp025(iim + 1)
29     REAL, protected, save:: rlatu1(jjm), rlatu2(jjm), yprimu1(jjm), yprimu2(jjm)
30     REAL, save:: ang0, etot0, ptot0, ztot0, stot0
31 guez 277 INTEGER, PARAMETER, private:: nmax = 30000
32 guez 313 DOUBLE PRECISION, private, save:: abs_y
33     INTEGER, save:: itau_dyn
34 guez 139
35 guez 3 contains
36    
37 guez 128 SUBROUTINE dynetat0(vcov, ucov, teta, q, masse, ps, phis)
38 guez 3
39 guez 38 ! From dynetat0.F, version 1.2, 2004/06/22 11:45:30
40     ! Authors: P. Le Van, L. Fairhead
41 guez 39 ! This procedure reads the initial state of the atmosphere.
42 guez 3
43 guez 313 ! Libraries:
44 guez 67 use netcdf, only: NF90_NOWRITE, NF90_NOERR
45 guez 44 use netcdf95, only: NF95_GET_VAR, nf95_open, nf95_inq_varid, NF95_CLOSE, &
46     NF95_Gw_VAR
47 guez 36 use nr_util, only: assert
48 guez 3
49 guez 313 use conf_gcm_m, only: raz_date
50     use dimensions, only: iim, jjm, llm, nqmx
51     use dynetat0_chosen_m, only: day_ref
52     use iniadvtrac_m, only: tname
53    
54 guez 55 REAL, intent(out):: vcov(: , :, :) ! (iim + 1, jjm, llm)
55     REAL, intent(out):: ucov(:, :, :) ! (iim + 1, jjm + 1, llm)
56 guez 43 REAL, intent(out):: teta(:, :, :) ! (iim + 1, jjm + 1, llm)
57 guez 40 REAL, intent(out):: q(:, :, :, :) ! (iim + 1, jjm + 1, llm, nqmx)
58 guez 55 REAL, intent(out):: masse(:, :, :) ! (iim + 1, jjm + 1, llm)
59 guez 39 REAL, intent(out):: ps(:, :) ! (iim + 1, jjm + 1) in Pa
60     REAL, intent(out):: phis(:, :) ! (iim + 1, jjm + 1)
61 guez 3
62 guez 44 ! Local variables:
63 guez 38 INTEGER iq
64 guez 225 REAL, allocatable:: tab_cntrl(:) ! tableau des param\`etres du run
65 guez 38 INTEGER ierr, ncid, varid
66 guez 3
67     !-----------------------------------------------------------------------
68    
69     print *, "Call sequence information: dynetat0"
70    
71 guez 55 call assert((/size(ucov, 1), size(vcov, 1), size(masse, 1), size(ps, 1), &
72     size(phis, 1), size(q, 1), size(teta, 1)/) == iim + 1, "dynetat0 iim")
73     call assert((/size(ucov, 2), size(vcov, 2) + 1, size(masse, 2), &
74     size(ps, 2), size(phis, 2), size(q, 2), size(teta, 2)/) == jjm + 1, &
75     "dynetat0 jjm")
76     call assert((/size(vcov, 3), size(ucov, 3), size(teta, 3), size(q, 3), &
77     size(masse, 3)/) == llm, "dynetat0 llm")
78 guez 40 call assert(size(q, 4) == nqmx, "dynetat0 q nqmx")
79 guez 3
80 guez 139 ! Fichier \'etat initial :
81 guez 25 call nf95_open("start.nc", NF90_NOWRITE, ncid)
82 guez 3
83 guez 38 call nf95_inq_varid(ncid, "controle", varid)
84 guez 44 call NF95_Gw_VAR(ncid, varid, tab_cntrl)
85 guez 3
86 guez 38 etot0 = tab_cntrl(13)
87     ptot0 = tab_cntrl(14)
88     ztot0 = tab_cntrl(15)
89     stot0 = tab_cntrl(16)
90     ang0 = tab_cntrl(17)
91 guez 113
92 guez 129 if (raz_date) then
93 guez 313 print *, 'Resetting the date.'
94 guez 129 day_ini = day_ref
95     itau_dyn = 0
96     else
97     itau_dyn = tab_cntrl(31)
98     day_ini = tab_cntrl(30)
99     end if
100    
101     print *, "day_ini = ", day_ini
102    
103 guez 38 call NF95_INQ_VARID (ncid, "rlonu", varid)
104     call NF95_GET_VAR(ncid, varid, rlonu)
105 guez 3
106 guez 38 call NF95_INQ_VARID (ncid, "rlatu", varid)
107     call NF95_GET_VAR(ncid, varid, rlatu)
108 guez 3
109 guez 38 call NF95_INQ_VARID (ncid, "rlonv", varid)
110     call NF95_GET_VAR(ncid, varid, rlonv)
111 guez 3
112 guez 38 call NF95_INQ_VARID (ncid, "rlatv", varid)
113     call NF95_GET_VAR(ncid, varid, rlatv)
114 guez 3
115 guez 139 CALL nf95_inq_varid(ncid, 'xprimu', varid)
116     CALL nf95_get_var(ncid, varid, xprimu)
117 guez 3
118 guez 139 CALL nf95_inq_varid(ncid, 'xprimv', varid)
119     CALL nf95_get_var(ncid, varid, xprimv)
120 guez 3
121 guez 139 CALL nf95_inq_varid(ncid, 'xprimm025', varid)
122     CALL nf95_get_var(ncid, varid, xprimm025)
123 guez 3
124 guez 139 CALL nf95_inq_varid(ncid, 'xprimp025', varid)
125     CALL nf95_get_var(ncid, varid, xprimp025)
126    
127     call NF95_INQ_VARID (ncid, "rlatu1", varid)
128     call NF95_GET_VAR(ncid, varid, rlatu1)
129    
130     call NF95_INQ_VARID (ncid, "rlatu2", varid)
131     call NF95_GET_VAR(ncid, varid, rlatu2)
132    
133     CALL nf95_inq_varid(ncid, 'yprimu1', varid)
134     CALL nf95_get_var(ncid, varid, yprimu1)
135    
136     CALL nf95_inq_varid(ncid, 'yprimu2', varid)
137     CALL nf95_get_var(ncid, varid, yprimu2)
138    
139 guez 228 call NF95_INQ_VARID (ncid, "phis", varid)
140 guez 38 call NF95_GET_VAR(ncid, varid, phis)
141 guez 3
142 guez 38 call NF95_INQ_VARID (ncid, "ucov", varid)
143 guez 55 call NF95_GET_VAR(ncid, varid, ucov)
144 guez 3
145 guez 38 call NF95_INQ_VARID (ncid, "vcov", varid)
146 guez 55 call NF95_GET_VAR(ncid, varid, vcov)
147 guez 3
148 guez 38 call NF95_INQ_VARID (ncid, "teta", varid)
149 guez 43 call NF95_GET_VAR(ncid, varid, teta)
150 guez 3
151     DO iq = 1, nqmx
152 guez 38 call NF95_INQ_VARID(ncid, tname(iq), varid, ierr)
153 guez 157 IF (ierr == NF90_NOERR) THEN
154     call NF95_GET_VAR(ncid, varid, q(:, :, :, iq))
155     ELSE
156 guez 38 PRINT *, 'dynetat0: "' // tname(iq) // '" not found, ' // &
157     "setting it to zero..."
158 guez 40 q(:, :, :, iq) = 0.
159 guez 3 ENDIF
160     ENDDO
161    
162 guez 38 call NF95_INQ_VARID (ncid, "masse", varid)
163 guez 55 call NF95_GET_VAR(ncid, varid, masse)
164 guez 3
165 guez 38 call NF95_INQ_VARID (ncid, "ps", varid)
166 guez 39 call NF95_GET_VAR(ncid, varid, ps)
167 guez 85 ! Check that there is a single value at each pole:
168     call assert(ps(1, 1) == ps(2:, 1), "dynetat0 ps north pole")
169     call assert(ps(1, jjm + 1) == ps(2:, jjm + 1), "dynetat0 ps south pole")
170 guez 3
171 guez 25 call NF95_CLOSE(ncid)
172 guez 3
173     END SUBROUTINE dynetat0
174    
175 guez 276 !********************************************************************
176    
177 guez 277 SUBROUTINE fyhyp
178    
179     ! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32
180    
181     ! Author: P. Le Van, from analysis by R. Sadourny
182    
183 guez 313 ! Define rlatu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1.
184 guez 277
185     ! Calcule les latitudes et dérivées dans la grille du GCM pour une
186     ! fonction f(y) à dérivée tangente hyperbolique.
187    
188     ! Il vaut mieux avoir : grossismy * dzoom < pi / 2
189    
190     use coefpoly_m, only: coefpoly, a0, a1, a2, a3
191     USE dimensions, only: jjm
192 guez 313 use dynetat0_chosen_m, only: clat, grossismy, dzoomy, tauy
193 guez 277 use heavyside_m, only: heavyside
194    
195     ! Local:
196    
197     INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax
198     REAL dzoom ! distance totale de la zone du zoom (en radians)
199     DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1)
200     DOUBLE PRECISION yuv
201     DOUBLE PRECISION, save:: yt(0:nmax2)
202     DOUBLE PRECISION fhyp(0:nmax2), beta
203     DOUBLE PRECISION, save:: ytprim(0:nmax2)
204     DOUBLE PRECISION fxm(0:nmax2)
205     DOUBLE PRECISION, save:: yf(0:nmax2)
206     DOUBLE PRECISION yypr(0:nmax2)
207     DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1)
208     DOUBLE PRECISION pi, pis2, epsilon, pisjm
209     DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin
210     DOUBLE PRECISION yfi, yf1, ffdy
211     DOUBLE PRECISION ypn
212     DOUBLE PRECISION, save::deply, y00
213    
214     INTEGER i, j, it, ik, iter, jlat, jjpn
215     INTEGER, save:: jpn
216     DOUBLE PRECISION yi2, heavyy0, heavyy0m
217     DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2)
218     REAL y0min, y0max
219    
220     !-------------------------------------------------------------------
221    
222     print *, "Call sequence information: fyhyp"
223    
224     pi = 2.*asin(1.)
225     pis2 = pi/2.
226     pisjm = pi/real(jjm)
227     epsilon = 1e-3
228     dzoom = dzoomy*pi
229    
230     DO i = 0, nmax2
231     yt(i) = -pis2 + real(i)*pi/nmax2
232     END DO
233    
234     heavyy0m = heavyside(-clat)
235     heavyy0 = heavyside(clat)
236     y0min = 2.*clat*heavyy0m - pis2
237     y0max = 2.*clat*heavyy0 + pis2
238    
239     fa = 999.999
240     fb = 999.999
241    
242     DO i = 0, nmax2
243     IF (yt(i)<clat) THEN
244     fa(i) = tauy*(yt(i)-clat + dzoom/2.)
245     fb(i) = (yt(i)-2.*clat*heavyy0m + pis2)*(clat-yt(i))
246     ELSE IF (yt(i)>clat) THEN
247     fa(i) = tauy*(clat-yt(i) + dzoom/2.)
248     fb(i) = (2.*clat*heavyy0-yt(i) + pis2)*(yt(i)-clat)
249     END IF
250    
251     IF (200.*fb(i)<-fa(i)) THEN
252     fhyp(i) = -1.
253     ELSE IF (200.*fb(i)<fa(i)) THEN
254     fhyp(i) = 1.
255     ELSE
256     fhyp(i) = tanh(fa(i)/fb(i))
257     END IF
258    
259     IF (yt(i)==clat) fhyp(i) = 1.
260     IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1.
261     END DO
262    
263     ! Calcul de beta
264    
265     ffdy = 0.
266    
267     DO i = 1, nmax2
268     ymoy = 0.5*(yt(i-1) + yt(i))
269     IF (ymoy<clat) THEN
270     fa(i) = tauy*(ymoy-clat + dzoom/2.)
271     fb(i) = (ymoy-2.*clat*heavyy0m + pis2)*(clat-ymoy)
272     ELSE IF (ymoy>clat) THEN
273     fa(i) = tauy*(clat-ymoy + dzoom/2.)
274     fb(i) = (2.*clat*heavyy0-ymoy + pis2)*(ymoy-clat)
275     END IF
276    
277     IF (200.*fb(i)<-fa(i)) THEN
278     fxm(i) = -1.
279     ELSE IF (200.*fb(i)<fa(i)) THEN
280     fxm(i) = 1.
281     ELSE
282     fxm(i) = tanh(fa(i)/fb(i))
283     END IF
284     IF (ymoy==clat) fxm(i) = 1.
285     IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1.
286     ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1))
287     END DO
288    
289     beta = (grossismy*ffdy-pi)/(ffdy-pi)
290    
291     IF (2. * beta - grossismy <= 0.) THEN
292     print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' &
293     // 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' &
294     // 'dzoomy et relancer.'
295     STOP 1
296     END IF
297    
298     ! calcul de Ytprim
299    
300     DO i = 0, nmax2
301     ytprim(i) = beta + (grossismy-beta)*fhyp(i)
302     END DO
303    
304     ! Calcul de Yf
305    
306     yf(0) = -pis2
307     DO i = 1, nmax2
308     yypr(i) = beta + (grossismy-beta)*fxm(i)
309     END DO
310    
311     DO i = 1, nmax2
312     yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1))
313     END DO
314    
315     ! yuv = 0. si calcul des latitudes aux pts. U
316     ! yuv = 0.5 si calcul des latitudes aux pts. V
317    
318     loop_ik: DO ik = 1, 4
319     IF (ik==1) THEN
320     yuv = 0.
321     jlat = jjm + 1
322     ELSE IF (ik==2) THEN
323     yuv = 0.5
324     jlat = jjm
325     ELSE IF (ik==3) THEN
326     yuv = 0.25
327     jlat = jjm
328     ELSE IF (ik==4) THEN
329     yuv = 0.75
330     jlat = jjm
331     END IF
332    
333     yo1 = 0.
334     DO j = 1, jlat
335     yo1 = 0.
336     ylon2 = -pis2 + pisjm*(real(j) + yuv-1.)
337     yfi = ylon2
338    
339     it = nmax2
340     DO while (it >= 1 .and. yfi < yf(it))
341     it = it - 1
342     END DO
343    
344     yi = yt(it)
345     IF (it==nmax2) THEN
346     it = nmax2 - 1
347     yf(it + 1) = pis2
348     END IF
349    
350     ! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi)
351     ! et Y'(yi)
352    
353     CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), &
354     yt(it), yt(it + 1))
355    
356     yf1 = yf(it)
357     yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi
358    
359     iter = 1
360     DO
361     yi = yi - (yf1-yfi)/yprimin
362     IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit
363     yo1 = yi
364     yi2 = yi*yi
365     yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi
366     yprimin = a1 + 2.*a2*yi + 3.*a3*yi2
367     END DO
368     if (abs(yi-yo1) > epsilon) then
369     print *, 'Pas de solution.', j, ylon2
370     STOP 1
371     end if
372    
373     yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi
374     yprim(j) = pi/(jjm*yprimin)
375     yvrai(j) = yi
376     END DO
377    
378     DO j = 1, jlat - 1
379     IF (yvrai(j + 1)<yvrai(j)) THEN
380     print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', &
381     j, ')'
382     STOP 1
383     END IF
384     END DO
385    
386     print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2'
387    
388     IF (ik==1) THEN
389     ypn = pis2
390     DO j = jjm + 1, 1, -1
391     IF (yvrai(j)<=ypn) exit
392     END DO
393    
394     jpn = j
395     y00 = yvrai(jpn)
396     deply = pis2 - y00
397     END IF
398    
399     DO j = 1, jjm + 1 - jpn
400     ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1)
401     yprimm(j) = yprim(jpn + j-1)
402     END DO
403    
404     jjpn = jpn
405     IF (jlat==jjm) jjpn = jpn - 1
406    
407     DO j = 1, jjpn
408     ylatt(j + jjm + 1-jpn) = yvrai(j) + deply
409     yprimm(j + jjm + 1-jpn) = yprim(j)
410     END DO
411    
412     ! Fin de la reorganisation
413    
414     DO j = 1, jlat
415     ylat(j) = ylatt(jlat + 1-j)
416     yprim(j) = yprimm(jlat + 1-j)
417     END DO
418    
419     DO j = 1, jlat
420     yvrai(j) = ylat(j)*180./pi
421     END DO
422    
423     IF (ik==1) THEN
424     DO j = 1, jjm + 1
425     rlatu(j) = ylat(j)
426     END DO
427     ELSE IF (ik==2) THEN
428     DO j = 1, jjm
429     rlatv(j) = ylat(j)
430     END DO
431     ELSE IF (ik==3) THEN
432     DO j = 1, jjm
433     rlatu2(j) = ylat(j)
434     yprimu2(j) = yprim(j)
435     END DO
436     ELSE IF (ik==4) THEN
437     DO j = 1, jjm
438     rlatu1(j) = ylat(j)
439     yprimu1(j) = yprim(j)
440     END DO
441     END IF
442     END DO loop_ik
443    
444     DO j = 1, jjm
445     ylat(j) = rlatu(j) - rlatu(j + 1)
446     END DO
447    
448     DO j = 1, jjm
449     IF (rlatu1(j) <= rlatu2(j)) THEN
450     print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j
451     STOP 13
452     ENDIF
453    
454     IF (rlatu2(j) <= rlatu(j+1)) THEN
455     print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j
456     STOP 14
457     ENDIF
458    
459     IF (rlatu(j) <= rlatu1(j)) THEN
460     print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j
461     STOP 15
462     ENDIF
463    
464     IF (rlatv(j) <= rlatu2(j)) THEN
465     print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j
466     STOP 16
467     ENDIF
468    
469     IF (rlatv(j) >= rlatu1(j)) THEN
470     print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j
471     STOP 17
472     ENDIF
473    
474     IF (rlatv(j) >= rlatu(j)) THEN
475     print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j
476     STOP 18
477     ENDIF
478     ENDDO
479    
480     print *, 'Latitudes'
481     print 3, minval(ylat(:jjm)) *180d0/pi, maxval(ylat(:jjm))*180d0/pi
482    
483     3 Format(1x, ' Au centre du zoom, la longueur de la maille est', &
484     ' d environ ', f0.2, ' degres ', /, &
485     ' alors que la maille en dehors de la zone du zoom est ', &
486     "d'environ ", f0.2, ' degres ')
487    
488     rlatu(1) = pi / 2.
489     rlatu(jjm + 1) = -rlatu(1)
490    
491     END SUBROUTINE fyhyp
492    
493     !********************************************************************
494    
495     SUBROUTINE fxhyp
496    
497     ! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32
498     ! Author: P. Le Van, from formulas by R. Sadourny
499    
500 guez 313 ! Compute xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025.
501 guez 277
502     ! Calcule les longitudes et dérivées dans la grille du GCM pour
503 guez 311 ! une fonction $x_f(\tilde x)$ à dérivée tangente hyperbolique.
504 guez 277
505 guez 311 ! Il vaut mieux avoir : grossismx $\times$ delta < pi
506 guez 277
507     ! Le premier point scalaire pour une grille regulière (grossismx =
508     ! 1) avec clon = 0 est à - 180 degrés.
509    
510 guez 278 use nr_util, only: pi, pi_d, twopi, twopi_d, arth, assert, rad_to_deg
511    
512 guez 277 USE dimensions, ONLY: iim
513 guez 313 use dynetat0_chosen_m, only: clon, grossismx, dzoomx, taux
514 guez 277 use tanh_cautious_m, only: tanh_cautious
515    
516     ! Local:
517     real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim)
518     REAL delta, h
519     DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx
520     DOUBLE PRECISION beta
521     INTEGER i, is2
522     DOUBLE PRECISION xmoy(nmax), fxm(nmax)
523    
524     !----------------------------------------------------------------------
525    
526     print *, "Call sequence information: fxhyp"
527    
528     if (grossismx == 1.) then
529     h = twopi / iim
530    
531     xprimm025(:iim) = h
532     xprimp025(:iim) = h
533     xprimv(:iim) = h
534     xprimu(:iim) = h
535    
536     rlonv(:iim) = arth(- pi + clon, h, iim)
537     rlonm025(:iim) = rlonv(:iim) - 0.25 * h
538     rlonp025(:iim) = rlonv(:iim) + 0.25 * h
539     rlonu(:iim) = rlonv(:iim) + 0.5 * h
540     else
541     delta = dzoomx * twopi_d
542     xtild = arth(0d0, pi_d / nmax, nmax + 1)
543     forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i))
544    
545     ! Compute fhyp:
546     fhyp(1:nmax - 1) = tanh_cautious(taux * (delta / 2d0 &
547     - xtild(1:nmax - 1)), xtild(1:nmax - 1) &
548     * (pi_d - xtild(1:nmax - 1)))
549     fhyp(0) = 1d0
550     fhyp(nmax) = -1d0
551    
552     fxm = tanh_cautious(taux * (delta / 2d0 - xmoy), xmoy * (pi_d - xmoy))
553    
554     ! Compute \int_0 ^{\tilde x} F:
555    
556     ffdx(0) = 0d0
557    
558     DO i = 1, nmax
559     ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1))
560     END DO
561    
562     print *, "ffdx(nmax) = ", ffdx(nmax)
563     beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax))
564     print *, "beta = ", beta
565    
566     IF (2d0 * beta - grossismx <= 0d0) THEN
567     print *, 'Bad choice of grossismx, taux, dzoomx.'
568     print *, 'Decrease dzoomx or grossismx.'
569     STOP 1
570     END IF
571    
572     G = beta + (grossismx - beta) * fhyp
573    
574     Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) &
575     * ffdx(:nmax - 1)
576     Xf(nmax) = pi_d
577    
578     call invert_zoom_x(beta, xf, xtild, G, rlonm025(:iim), xprimm025(:iim), &
579     xuv = - 0.25d0)
580     call invert_zoom_x(beta, xf, xtild, G, rlonv(:iim), xprimv(:iim), &
581     xuv = 0d0)
582     call invert_zoom_x(beta, xf, xtild, G, rlonu(:iim), xprimu(:iim), &
583     xuv = 0.5d0)
584     call invert_zoom_x(beta, xf, xtild, G, rlonp025(:iim), xprimp025(:iim), &
585     xuv = 0.25d0)
586     end if
587    
588     is2 = 0
589    
590     IF (MINval(rlonm025(:iim)) < - pi - 0.1 &
591     .or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN
592     IF (clon <= 0.) THEN
593     is2 = 1
594    
595     do while (rlonm025(is2) < - pi .and. is2 < iim)
596     is2 = is2 + 1
597     end do
598    
599 guez 278 call assert(rlonm025(is2) >= - pi, &
600     "fxhyp -- rlonm025 should be >= - pi")
601 guez 277 ELSE
602     is2 = iim
603    
604     do while (rlonm025(is2) > pi .and. is2 > 1)
605     is2 = is2 - 1
606     end do
607    
608     if (rlonm025(is2) > pi) then
609     print *, 'Rlonm025 plus grand que pi !'
610     STOP 1
611     end if
612     END IF
613     END IF
614    
615     call principal_cshift(is2, rlonm025, xprimm025)
616     call principal_cshift(is2, rlonv, xprimv)
617     call principal_cshift(is2, rlonu, xprimu)
618     call principal_cshift(is2, rlonp025, xprimp025)
619    
620     forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i)
621 guez 278 print *, "Minimum longitude step:", MINval(d_rlonv) * rad_to_deg, "degrees"
622     print *, "Maximum longitude step:", MAXval(d_rlonv) * rad_to_deg, "degrees"
623 guez 277
624     ! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu:
625     DO i = 1, iim + 1
626     IF (rlonp025(i) < rlonv(i)) THEN
627     print *, 'rlonp025(', i, ') = ', rlonp025(i)
628     print *, "< rlonv(", i, ") = ", rlonv(i)
629     STOP 1
630     END IF
631    
632     IF (rlonv(i) < rlonm025(i)) THEN
633     print *, 'rlonv(', i, ') = ', rlonv(i)
634     print *, "< rlonm025(", i, ") = ", rlonm025(i)
635     STOP 1
636     END IF
637    
638     IF (rlonp025(i) > rlonu(i)) THEN
639     print *, 'rlonp025(', i, ') = ', rlonp025(i)
640     print *, "> rlonu(", i, ") = ", rlonu(i)
641     STOP 1
642     END IF
643     END DO
644    
645     END SUBROUTINE fxhyp
646    
647     !********************************************************************
648    
649     subroutine principal_cshift(is2, xlon, xprimm)
650    
651     ! Add or subtract 2 pi so that xlon is near [-pi, pi], then cshift
652     ! so that xlon is in ascending order. Make the same cshift on
653 guez 313 ! xprimm. In this module to avoid circular dependency.
654 guez 277
655     use nr_util, only: twopi
656    
657 guez 313 use dynetat0_chosen_m, only: clon
658 guez 278 USE dimensions, ONLY: iim
659    
660 guez 277 integer, intent(in):: is2
661     real, intent(inout):: xlon(:), xprimm(:) ! (iim + 1)
662    
663     !-----------------------------------------------------
664    
665     if (is2 /= 0) then
666     IF (clon <= 0.) THEN
667     IF (is2 /= 1) THEN
668     xlon(:is2 - 1) = xlon(:is2 - 1) + twopi
669     xlon(:iim) = cshift(xlon(:iim), shift = is2 - 1)
670     xprimm(:iim) = cshift(xprimm(:iim), shift = is2 - 1)
671     END IF
672     else
673     xlon(is2 + 1:iim) = xlon(is2 + 1:iim) - twopi
674     xlon(:iim) = cshift(xlon(:iim), shift = is2)
675     xprimm(:iim) = cshift(xprimm(:iim), shift = is2)
676     end IF
677     end if
678    
679     xlon(iim + 1) = xlon(1) + twopi
680     xprimm(iim + 1) = xprimm(1)
681    
682     end subroutine principal_cshift
683    
684     !**********************************************************************
685    
686     subroutine invert_zoom_x(beta, xf, xtild, G, xlon, xprim, xuv)
687    
688 guez 313 ! In this module to avoid circular dependency.
689 guez 277
690     use coefpoly_m, only: coefpoly, a1, a2, a3
691 guez 313 use dynetat0_chosen_m, only: clon, grossismx
692 guez 277 USE dimensions, ONLY: iim
693     use nr_util, only: pi_d, twopi_d
694     use numer_rec_95, only: hunt, rtsafe
695    
696     DOUBLE PRECISION, intent(in):: beta, Xf(0:), xtild(0:), G(0:) ! (0:nmax)
697    
698     real, intent(out):: xlon(:), xprim(:) ! (iim)
699    
700     DOUBLE PRECISION, intent(in):: xuv
701     ! between - 0.25 and 0.5
702     ! 0. si calcul aux points scalaires
703     ! 0.5 si calcul aux points U
704    
705     ! Local:
706     DOUBLE PRECISION Y
707     DOUBLE PRECISION h ! step of the uniform grid
708     integer i, it
709    
710     DOUBLE PRECISION xvrai(iim), Gvrai(iim)
711     ! intermediary variables because xlon and xprim are single precision
712    
713     !------------------------------------------------------------------
714    
715     print *, "Call sequence information: invert_zoom_x"
716     it = 0 ! initial guess
717     h = twopi_d / iim
718    
719     DO i = 1, iim
720     Y = - pi_d + (i + xuv - 0.75d0) * h
721     ! - pi <= y < pi
722     abs_y = abs(y)
723    
724     ! Distinguish boundaries in order to avoid roundoff error.
725     ! funcd should be exactly equal to 0 at xtild(it) or xtild(it +
726     ! 1) and could be very small with the wrong sign so rtsafe
727     ! would fail.
728     if (abs_y == 0d0) then
729     xvrai(i) = 0d0
730     gvrai(i) = grossismx
731     else if (abs_y == pi_d) then
732     xvrai(i) = pi_d
733     gvrai(i) = 2d0 * beta - grossismx
734     else
735     call hunt(xf, abs_y, it, my_lbound = 0)
736     ! {0 <= it <= nmax - 1}
737    
738     ! Calcul de xvrai(i) et Gvrai(i)
739     CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), &
740     xtild(it + 1))
741     xvrai(i) = rtsafe(funcd, xtild(it), xtild(it + 1), xacc = 1d-6)
742     Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3)
743     end if
744    
745     if (y < 0d0) xvrai(i) = - xvrai(i)
746     end DO
747    
748     DO i = 1, iim -1
749     IF (xvrai(i + 1) < xvrai(i)) THEN
750     print *, 'xvrai(', i + 1, ') < xvrai(', i, ')'
751     STOP 1
752     END IF
753     END DO
754    
755     xlon = xvrai + clon
756     xprim = h / Gvrai
757    
758     end subroutine invert_zoom_x
759    
760     !**********************************************************************
761    
762     SUBROUTINE funcd(x, fval, fderiv)
763    
764     use coefpoly_m, only: a0, a1, a2, a3
765    
766     DOUBLE PRECISION, INTENT(IN):: x
767     DOUBLE PRECISION, INTENT(OUT):: fval, fderiv
768    
769     fval = a0 + x * (a1 + x * (a2 + x * a3)) - abs_y
770     fderiv = a1 + x * (2d0 * a2 + x * 3d0 * a3)
771    
772     END SUBROUTINE funcd
773    
774 guez 3 end module dynetat0_m
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