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inter_barxy_m.F90 @ 1

Last change on this file since 1 was 1, checked in by emillour, 14 years ago
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1	!
2	! $Id$
3	!
4	module inter_barxy_m
5
6	! Authors: Robert SADOURNY, Phu LE VAN, Lionel GUEZ
7
8	implicit none
9
10	private
11	public inter_barxy
12
13	contains
14
15	SUBROUTINE inter_barxy(dlonid, dlatid, champ, rlonimod, rlatimod, champint)
16
17	use assert_eq_m, only: assert_eq
18	use assert_m, only: assert
19
20	include "dimensions.h"
21	! (for "iim", "jjm")
22
23	include "paramet.h"
24	! (for other included files)
25
26	include "comgeom2.h"
27	! (for "aire", "apoln", "apols")
28
29	REAL, intent(in):: dlonid(:)
30	! (longitude from input file, in rad, from -pi to pi)
31
32	REAL, intent(in):: dlatid(:), champ(:, :), rlonimod(:)
33
34	REAL, intent(in):: rlatimod(:)
35	! (latitude angle, in degrees or rad, in strictly decreasing order)
36
37	real, intent(out):: champint(:, :)
38	! Si taille de la seconde dim = jjm + 1, on veut interpoler sur les
39	! jjm+1 latitudes rlatu du modele (latitudes des scalaires et de U)
40	! Si taille de la seconde dim = jjm, on veut interpoler sur les
41	! jjm latitudes rlatv du modele (latitudes de V)
42
43	! Variables local to the procedure:
44
45	REAL champy(iim, size(champ, 2))
46	integer j, i, jnterfd, jmods
47
48	REAL yjmod(size(champint, 2))
49	! (angle, in degrees, in strictly increasing order)
50
51	REAL yjdat(size(dlatid) + 1) ! angle, in degrees, in increasing order
52	LOGICAL decrois ! "dlatid" is in decreasing order
53
54	!-----------------------------------
55
56	jnterfd = assert_eq(size(champ, 2) - 1, size(dlatid), &
57	"inter_barxy jnterfd")
58	jmods = size(champint, 2)
59	call assert(size(champ, 1) == size(dlonid), "inter_barxy size(champ, 1)")
60	call assert((/size(rlonimod), size(champint, 1)/) == iim, &
61	"inter_barxy iim")
62	call assert(any(jmods == (/jjm, jjm + 1/)), 'inter_barxy jmods')
63	call assert(size(rlatimod) == jjm, "inter_barxy size(rlatimod)")
64
65	! Check decreasing order for "rlatimod":
66	DO i = 2, jjm
67	IF (rlatimod(i) >= rlatimod(i-1)) stop &
68	'"inter_barxy": "rlatimod" should be strictly decreasing'
69	ENDDO
70
71	yjmod(:jjm) = ord_coordm(rlatimod)
72	IF (jmods == jjm + 1) THEN
73	IF (90. - yjmod(jjm) < 0.01) stop &
74	'"inter_barxy": with jmods = jjm + 1, yjmod(jjm) should be < 90.'
75	ELSE
76	! jmods = jjm
77	IF (ABS(yjmod(jjm) - 90.) > 0.01) stop &
78	'"inter_barxy": with jmods = jjm, yjmod(jjm) should be 90.'
79	ENDIF
80
81	if (jmods == jjm + 1) yjmod(jjm + 1) = 90.
82
83	DO j = 1, jnterfd + 1
84	champy(:, j) = inter_barx(dlonid, champ(:, j), rlonimod)
85	ENDDO
86
87	CALL ord_coord(dlatid, yjdat, decrois)
88	IF (decrois) champy(:, :) = champy(:, jnterfd + 1:1:-1)
89	DO i = 1, iim
90	champint(i, :) = inter_bary(yjdat, champy(i, :), yjmod)
91	ENDDO
92	champint(:, :) = champint(:, jmods:1:-1)
93
94	IF (jmods == jjm + 1) THEN
95	! Valeurs uniques aux poles
96	champint(:, 1) = SUM(aire(:iim, 1) * champint(:, 1)) / apoln
97	champint(:, jjm + 1) = SUM(aire(:iim, jjm + 1) &
98	* champint(:, jjm + 1)) / apols
99	ENDIF
100
101	END SUBROUTINE inter_barxy
102
103	!******************************
104
105	function inter_barx(dlonid, fdat, rlonimod)
106
107	! INTERPOLATION BARYCENTRIQUE BASEE SUR LES AIRES
108	! VERSION UNIDIMENSIONNELLE , EN LONGITUDE .
109
110	! idat : indice du champ de donnees, de 1 a idatmax
111	! imod : indice du champ du modele, de 1 a imodmax
112	! fdat(idat) : champ de donnees (entrees)
113	! inter_barx(imod) : champ du modele (sorties)
114	! dlonid(idat): abscisses des interfaces des mailles donnees
115	! rlonimod(imod): abscisses des interfaces des mailles modele
116	! ( L'indice 1 correspond a l'interface mailLE 1 / maille 2)
117	! ( Les abscisses sont exprimees en degres)
118
119	use assert_eq_m, only: assert_eq
120
121	IMPLICIT NONE
122
123	REAL, intent(in):: dlonid(:)
124	real, intent(in):: fdat(:)
125	real, intent(in):: rlonimod(:)
126
127	real inter_barx(size(rlonimod))
128
129	! ... Variables locales ...
130
131	INTEGER idatmax, imodmax
132	REAL xxid(size(dlonid)+1), xxd(size(dlonid)+1), fdd(size(dlonid)+1)
133	REAL fxd(size(dlonid)+1), xchan(size(dlonid)+1), fdchan(size(dlonid)+1)
134	REAL xxim(size(rlonimod))
135
136	REAL x0, xim0, dx, dxm
137	REAL chmin, chmax, pi
138
139	INTEGER imod, idat, i, ichang, id0, id1, nid, idatmax1
140
141	!-----------------------------------------------------
142
143	idatmax = assert_eq(size(dlonid), size(fdat), "inter_barx idatmax")
144	imodmax = size(rlonimod)
145
146	pi = 2. * ASIN(1.)
147
148	! REDEFINITION DE L'ORIGINE DES ABSCISSES
149	! A L'INTERFACE OUEST DE LA PREMIERE MAILLE DU MODELE
150	DO imod = 1, imodmax
151	xxim(imod) = rlonimod(imod)
152	ENDDO
153
154	CALL minmax( imodmax, xxim, chmin, chmax)
155	IF( chmax.LT.6.50 ) THEN
156	DO imod = 1, imodmax
157	xxim(imod) = xxim(imod) * 180./pi
158	ENDDO
159	ENDIF
160
161	xim0 = xxim(imodmax) - 360.
162
163	DO imod = 1, imodmax
164	xxim(imod) = xxim(imod) - xim0
165	ENDDO
166
167	idatmax1 = idatmax +1
168
169	DO idat = 1, idatmax
170	xxd(idat) = dlonid(idat)
171	ENDDO
172
173	CALL minmax( idatmax, xxd, chmin, chmax)
174	IF( chmax.LT.6.50 ) THEN
175	DO idat = 1, idatmax
176	xxd(idat) = xxd(idat) * 180./pi
177	ENDDO
178	ENDIF
179
180	DO idat = 1, idatmax
181	xxd(idat) = MOD( xxd(idat) - xim0, 360. )
182	fdd(idat) = fdat (idat)
183	ENDDO
184
185	i = 2
186	DO while (xxd(i) >= xxd(i-1) .and. i < idatmax)
187	i = i + 1
188	ENDDO
189	IF (xxd(i) < xxd(i-1)) THEN
190	ichang = i
191	! * reorganisation des longitudes entre 0. et 360. degres **
192	nid = idatmax - ichang +1
193	DO i = 1, nid
194	xchan (i) = xxd(i+ichang -1 )
195	fdchan(i) = fdd(i+ichang -1 )
196	ENDDO
197	DO i=1, ichang -1
198	xchan (i+ nid) = xxd(i)
199	fdchan(i+nid) = fdd(i)
200	ENDDO
201	DO i =1, idatmax
202	xxd(i) = xchan(i)
203	fdd(i) = fdchan(i)
204	ENDDO
205	end IF
206
207	! translation des champs de donnees par rapport
208	! a la nouvelle origine, avec redondance de la
209	! maille a cheval sur les bords
210
211	id0 = 0
212	id1 = 0
213
214	DO idat = 1, idatmax
215	IF ( xxd( idatmax1- idat ).LT.360.) exit
216	id1 = id1 + 1
217	ENDDO
218
219	DO idat = 1, idatmax
220	IF (xxd(idat).GT.0.) exit
221	id0 = id0 + 1
222	END DO
223
224	IF( id1 /= 0 ) then
225	DO idat = 1, id1
226	xxid(idat) = xxd(idatmax - id1 + idat) - 360.
227	fxd (idat) = fdd(idatmax - id1 + idat)
228	END DO
229	DO idat = 1, idatmax - id1
230	xxid(idat + id1) = xxd(idat)
231	fxd (idat + id1) = fdd(idat)
232	END DO
233	end IF
234
235	IF(id0 /= 0) then
236	DO idat = 1, idatmax - id0
237	xxid(idat) = xxd(idat + id0)
238	fxd (idat) = fdd(idat + id0)
239	END DO
240
241	DO idat = 1, id0
242	xxid (idatmax - id0 + idat) = xxd(idat) + 360.
243	fxd (idatmax - id0 + idat) = fdd(idat)
244	END DO
245	else
246	DO idat = 1, idatmax
247	xxid(idat) = xxd(idat)
248	fxd (idat) = fdd(idat)
249	ENDDO
250	end IF
251	xxid(idatmax1) = xxid(1) + 360.
252	fxd (idatmax1) = fxd(1)
253
254	! initialisation du champ du modele
255
256	inter_barx(:) = 0.
257
258	! iteration
259
260	x0 = xim0
261	dxm = 0.
262	imod = 1
263	idat = 1
264
265	do while (imod <= imodmax)
266	do while (xxim(imod).GT.xxid(idat))
267	dx = xxid(idat) - x0
268	dxm = dxm + dx
269	inter_barx(imod) = inter_barx(imod) + dx * fxd(idat)
270	x0 = xxid(idat)
271	idat = idat + 1
272	end do
273	IF (xxim(imod).LT.xxid(idat)) THEN
274	dx = xxim(imod) - x0
275	dxm = dxm + dx
276	inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm
277	x0 = xxim(imod)
278	dxm = 0.
279	imod = imod + 1
280	ELSE
281	dx = xxim(imod) - x0
282	dxm = dxm + dx
283	inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm
284	x0 = xxim(imod)
285	dxm = 0.
286	imod = imod + 1
287	idat = idat + 1
288	END IF
289	end do
290
291	END function inter_barx
292
293	!******************************
294
295	function inter_bary(yjdat, fdat, yjmod)
296
297	! Interpolation barycentrique basée sur les aires.
298	! Version unidimensionnelle, en latitude.
299	! L'indice 1 correspond à l'interface maille 1 -- maille 2.
300
301	use assert_m, only: assert
302
303	IMPLICIT NONE
304
305	REAL, intent(in):: yjdat(:)
306	! (angles, ordonnées des interfaces des mailles des données, in
307	! degrees, in increasing order)
308
309	REAL, intent(in):: fdat(:) ! champ de données
310
311	REAL, intent(in):: yjmod(:)
312	! (ordonnées des interfaces des mailles du modèle)
313	! (in degrees, in strictly increasing order)
314
315	REAL inter_bary(size(yjmod)) ! champ du modèle
316
317	! Variables local to the procedure:
318
319	REAL y0, dy, dym
320	INTEGER jdat ! indice du champ de données
321	integer jmod ! indice du champ du modèle
322
323	!------------------------------------
324
325	call assert(size(yjdat) == size(fdat), "inter_bary")
326
327	! Initialisation des variables
328	inter_bary(:) = 0.
329	y0 = -90.
330	dym = 0.
331	jmod = 1
332	jdat = 1
333
334	do while (jmod <= size(yjmod))
335	do while (yjmod(jmod) > yjdat(jdat))
336	dy = yjdat(jdat) - y0
337	dym = dym + dy
338	inter_bary(jmod) = inter_bary(jmod) + dy * fdat(jdat)
339	y0 = yjdat(jdat)
340	jdat = jdat + 1
341	end do
342	IF (yjmod(jmod) < yjdat(jdat)) THEN
343	dy = yjmod(jmod) - y0
344	dym = dym + dy
345	inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym
346	y0 = yjmod(jmod)
347	dym = 0.
348	jmod = jmod + 1
349	ELSE
350	! {yjmod(jmod) == yjdat(jdat)}
351	dy = yjmod(jmod) - y0
352	dym = dym + dy
353	inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym
354	y0 = yjmod(jmod)
355	dym = 0.
356	jmod = jmod + 1
357	jdat = jdat + 1
358	END IF
359	end do
360	! Le test de fin suppose que l'interface 0 est commune aux deux
361	! grilles "yjdat" et "yjmod".
362
363	END function inter_bary
364
365	!******************************
366
367	SUBROUTINE ord_coord(xi, xo, decrois)
368
369	! This procedure receives an array of latitudes.
370	! It converts them to degrees if they are in radians.
371	! If the input latitudes are in decreasing order, the procedure
372	! reverses their order.
373	! Finally, the procedure adds 90° as the last value of the array.
374
375	use assert_eq_m, only: assert_eq
376
377	IMPLICIT NONE
378
379	include "comconst.h"
380	! (for "pi")
381
382	REAL, intent(in):: xi(:)
383	! (latitude, in degrees or radians, in increasing or decreasing order)
384	! ("xi" should contain latitudes from pole to pole.
385	! "xi" should contain the latitudes of the boundaries of grid
386	! cells, not the centers of grid cells.
387	! So the extreme values should not be 90° and -90°.)
388
389	REAL, intent(out):: xo(:) ! angles in degrees
390	LOGICAL, intent(out):: decrois
391
392	! Variables local to the procedure:
393	INTEGER nmax, i
394
395	!--------------------
396
397	nmax = assert_eq(size(xi), size(xo) - 1, "ord_coord")
398
399	! Check monotonicity:
400	decrois = xi(2) < xi(1)
401	DO i = 3, nmax
402	IF (decrois .neqv. xi(i) < xi(i-1)) stop &
403	'"ord_coord": latitudes are not monotonic'
404	ENDDO
405
406	IF (abs(xi(1)) < pi) then
407	! "xi" contains latitudes in radians
408	xo(:nmax) = xi(:) * 180. / pi
409	else
410	! "xi" contains latitudes in degrees
411	xo(:nmax) = xi(:)
412	end IF
413
414	IF (ABS(abs(xo(1)) - 90) < 0.001 .or. ABS(abs(xo(nmax)) - 90) < 0.001) THEN
415	print *, "ord_coord"
416	PRINT *, '"xi" should contain the latitudes of the boundaries of ' &
417	// 'grid cells, not the centers of grid cells.'
418	STOP
419	ENDIF
420
421	IF (decrois) xo(:nmax) = xo(nmax:1:- 1)
422	xo(nmax + 1) = 90.
423
424	END SUBROUTINE ord_coord
425
426	!***********************************
427
428	function ord_coordm(xi)
429
430	! This procedure converts to degrees, if necessary, and inverts the
431	! order.
432
433	IMPLICIT NONE
434
435	include "comconst.h"
436	! (for "pi")
437
438	REAL, intent(in):: xi(:) ! angle, in rad or degrees
439	REAL ord_coordm(size(xi)) ! angle, in degrees
440
441	!-----------------------------
442
443	IF (xi(1) < 6.5) THEN
444	! "xi" is in rad
445	ord_coordm(:) = xi(size(xi):1:-1) * 180. / pi
446	else
447	! "xi" is in degrees
448	ord_coordm(:) = xi(size(xi):1:-1)
449	ENDIF
450
451	END function ord_coordm
452
453	end module inter_barxy_m

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