libf/dyn3d/inter_barxy.f90

module inter_barxy_m

  ! From inter_barxy.F, version 1.1.1.1 2004/05/19 12:53:07

  implicit none

  private
  public inter_barxy

contains

  SUBROUTINE inter_barxy(dlonid, dlatid, champ, rlonimod, rlatimod, champint)

    ! Author: P. Le Van

    use numer_rec, only: assert_eq, assert
    use dimens_m, only: iim, jjm
    use comgeom, only: aire_2d, apoln, apols

    REAL, intent(in):: dlonid(:)
    ! (longitude from input file, in rad, from -pi to pi)

    REAL, intent(in):: dlatid(:), champ(:, :), rlonimod(:)

    REAL, intent(in):: rlatimod(:)
    ! (latitude angle, in degrees or rad, in strictly decreasing order)

    real, intent(out):: champint(:, :)
    ! Si taille de la seconde dim = jjm + 1, on veut interpoler sur les
    ! jjm+1 latitudes rlatu du modele (latitudes des scalaires et de U)
    ! Si taille de la seconde dim = jjm, on veut interpoler sur les
    ! jjm latitudes rlatv du modèle (latitudes de V) 

    ! Variables local to the procedure:

    REAL champy(iim, size(champ, 2))
    integer j, i, jnterfd, jmods

    REAL yjmod(size(champint, 2))
    ! (angle, in degrees, in strictly increasing order)

    REAL   yjdat(size(dlatid) + 1) ! angle, in degrees, in increasing order
    LOGICAL decrois ! "dlatid" is in decreasing order

    !-----------------------------------

    jnterfd = assert_eq(size(champ, 2) - 1, size(dlatid), &
         "inter_barxy jnterfd")
    jmods = size(champint, 2)
    call assert(size(champ, 1) == size(dlonid), "inter_barxy size(champ, 1)")
    call assert((/size(rlonimod), size(champint, 1)/) == iim, &
         "inter_barxy iim")
    call assert(any(jmods == (/jjm, jjm + 1/)), 'inter_barxy jmods')
    call assert(size(rlatimod) == jjm, "inter_barxy size(rlatimod)")

    ! Check decreasing order for "rlatimod":
    DO i = 2, jjm
       IF (rlatimod(i) >= rlatimod(i-1)) stop &
            '"inter_barxy": "rlatimod" should be strictly decreasing'
    ENDDO

    yjmod(:jjm) = ord_coordm(rlatimod)
    IF (jmods == jjm + 1) THEN
       IF (90. - yjmod(jjm) < 0.01) stop &
            '"inter_barxy": with jmods = jjm + 1, yjmod(jjm) should be < 90.'
    ELSE
       ! jmods = jjm
       IF (ABS(yjmod(jjm) - 90.) > 0.01) stop &
            '"inter_barxy": with jmods = jjm, yjmod(jjm) should be 90.'
    ENDIF

    if (jmods == jjm + 1) yjmod(jjm + 1) = 90.

    DO j = 1, jnterfd + 1
       champy(:, j) = inter_barx(dlonid, champ(:, j), rlonimod)
    ENDDO

    CALL ord_coord(dlatid, yjdat, decrois) 
    IF (decrois) champy(:, :) = champy(:, jnterfd + 1:1:-1)
    DO i = 1, iim
       champint(i, :) = inter_bary(yjdat, champy(i, :), yjmod)
    ENDDO
    champint(:, :) = champint(:, jmods:1:-1)

    IF (jmods == jjm + 1) THEN
       ! Valeurs uniques aux poles
       champint(:, 1) = SUM(aire_2d(:iim,  1) * champint(:, 1)) / apoln
       champint(:, jjm + 1) = SUM(aire_2d(:iim, jjm + 1) &
            * champint(:, jjm + 1)) / apols
    ENDIF

  END SUBROUTINE inter_barxy

  !******************************

  function inter_barx(dlonid, fdat, rlonimod) 

    ! From dyn3d/inter_barx.F, v 1.1.1.1 2004/05/19 12:53:06

    ! Auteurs : Robert Sadourny, P. Le Van

    !        INTERPOLATION BARYCENTRIQUE BASEE SUR LES AIRES
    !            VERSION UNIDIMENSIONNELLE  ,   EN  LONGITUDE .

    !     idat : indice du champ de donnees, de 1 a idatmax
    !     imod : indice du champ du modele,  de 1 a  imodmax
    !     fdat(idat) : champ de donnees (entrees)
    !     inter_barx(imod) : champ du modele (sorties)
    !     dlonid(idat): abscisses des interfaces des mailles donnees
    !     rlonimod(imod): abscisses des interfaces des mailles modele
    !      ( L'indice 1 correspond a l'interface mailLE 1 / maille 2)
    !      ( Les abscisses sont exprimées en degres)

    use numer_rec, only: assert_eq

    IMPLICIT NONE

    REAL, intent(in):: dlonid(:)
    real, intent(in):: fdat(:)
    real, intent(in):: rlonimod(:)

    real inter_barx(size(rlonimod))

    !    ...  Variables locales ... 

    INTEGER idatmax, imodmax
    REAL xxid(size(dlonid)+1), xxd(size(dlonid)+1), fdd(size(dlonid)+1)
    REAL  fxd(size(dlonid)+1), xchan(size(dlonid)+1), fdchan(size(dlonid)+1) 
    REAL  xxim(size(rlonimod))

    REAL x0, xim0, dx, dxm
    REAL chmin, chmax, pi

    INTEGER imod, idat, i, ichang, id0, id1, nid, idatmax1

    !-----------------------------------------------------

    idatmax = assert_eq(size(dlonid), size(fdat), "inter_barx idatmax")
    imodmax = size(rlonimod)

    pi = 2. * ASIN(1.)

    !   REDEFINITION DE L'ORIGINE DES ABSCISSES
    !    A L'INTERFACE OUEST DE LA PREMIERE MAILLE DU MODELE  
    DO imod = 1, imodmax
       xxim(imod) = rlonimod(imod)
    ENDDO

    CALL minmax( imodmax, xxim, chmin, chmax)
    IF( chmax.LT.6.50 )   THEN
       DO imod = 1, imodmax
          xxim(imod) = xxim(imod) * 180./pi
       ENDDO
    ENDIF

    xim0 = xxim(imodmax) - 360.

    DO imod = 1, imodmax
       xxim(imod) = xxim(imod) - xim0
    ENDDO

    idatmax1 = idatmax +1

    DO idat = 1, idatmax
       xxd(idat) = dlonid(idat)
    ENDDO

    CALL minmax( idatmax, xxd, chmin, chmax)
    IF( chmax.LT.6.50 )  THEN
       DO idat = 1, idatmax
          xxd(idat) = xxd(idat) * 180./pi
       ENDDO
    ENDIF

    DO idat = 1, idatmax
       xxd(idat) = AMOD( xxd(idat) - xim0, 360. )
       fdd(idat) = fdat (idat)
    ENDDO

    i = 2
    DO while (xxd(i) >= xxd(i-1) .and. i < idatmax)
       i = i + 1
    ENDDO
    IF (xxd(i) < xxd(i-1)) THEN
       ichang = i
       !  ***  reorganisation  des longitudes entre 0. et 360. degres ****
       nid = idatmax - ichang +1
       DO i = 1, nid
          xchan (i) = xxd(i+ichang -1 )
          fdchan(i) = fdd(i+ichang -1 )
       ENDDO
       DO i=1, ichang -1
          xchan (i+ nid) = xxd(i)
          fdchan(i+nid) = fdd(i) 
       ENDDO
       DO i =1, idatmax
          xxd(i) = xchan(i)
          fdd(i) = fdchan(i)
       ENDDO
    end IF

    !    translation des champs de donnees par rapport
    !    a la nouvelle origine, avec redondance de la
    !       maille a cheval sur les bords

    id0 = 0
    id1 = 0

    DO idat = 1, idatmax
       IF ( xxd( idatmax1- idat ).LT.360.) exit
       id1 = id1 + 1
    ENDDO

    DO idat = 1, idatmax
       IF (xxd(idat).GT.0.) exit
       id0 = id0 + 1
    END DO

    IF( id1 /= 0 ) then
       DO idat = 1, id1
          xxid(idat) = xxd(idatmax - id1 + idat) - 360.
          fxd (idat) = fdd(idatmax - id1 + idat)     
       END DO
       DO idat = 1, idatmax - id1
          xxid(idat + id1) = xxd(idat)
          fxd (idat + id1) = fdd(idat)
       END DO
    end IF

    IF(id0 /= 0) then
       DO idat = 1, idatmax - id0
          xxid(idat) = xxd(idat + id0)
          fxd (idat) = fdd(idat + id0)
       END DO

       DO idat = 1, id0
          xxid (idatmax - id0 + idat) =  xxd(idat) + 360.
          fxd  (idatmax - id0 + idat) =  fdd(idat)   
       END DO
    else 
       DO idat = 1, idatmax
          xxid(idat)  = xxd(idat)
          fxd (idat)  = fdd(idat)
       ENDDO
    end IF
    xxid(idatmax1) = xxid(1) + 360.
    fxd (idatmax1) = fxd(1)

    !   initialisation du champ du modele

    inter_barx(:) = 0.

    ! iteration

    x0   = xim0
    dxm  = 0.
    imod = 1
    idat = 1

    do while (imod <= imodmax)
       do while (xxim(imod).GT.xxid(idat))
          dx   = xxid(idat) - x0
          dxm  = dxm + dx
          inter_barx(imod) = inter_barx(imod) + dx * fxd(idat)
          x0   = xxid(idat)
          idat = idat + 1
       end do
       IF (xxim(imod).LT.xxid(idat)) THEN
          dx   = xxim(imod) - x0
          dxm  = dxm + dx
          inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm
          x0   = xxim(imod)
          dxm  = 0.
          imod = imod + 1
       ELSE
          dx   = xxim(imod) - x0
          dxm  = dxm + dx
          inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm
          x0   = xxim(imod)
          dxm  = 0.
          imod = imod + 1
          idat = idat + 1
       END IF
    end do

  END function inter_barx

  !******************************

  function inter_bary(yjdat, fdat, yjmod)

    ! From dyn3d/inter_bary.F, version 1.1.1.1 2004/05/19 12:53:06
    ! Authors: R. Sadourny, P. Le Van

    ! Interpolation barycentrique basée sur les aires.
    ! Version unidimensionnelle, en latitude.
    ! L'indice 1 correspond à l'interface maille 1 -- maille 2.

    use numer_rec, only: assert

    IMPLICIT NONE

    REAL, intent(in):: yjdat(:)
    ! (angles, ordonnées des interfaces des mailles des données, in
    ! degrees, in increasing order)

    REAL, intent(in):: fdat(:) ! champ de données

    REAL, intent(in):: yjmod(:)
    ! (ordonnées des interfaces des mailles du modèle)
    ! (in degrees, in strictly increasing order)

    REAL inter_bary(size(yjmod)) ! champ du modèle

    ! Variables local to the procedure:

    REAL y0, dy, dym 
    INTEGER jdat ! indice du champ de données
    integer jmod ! indice du champ du modèle

    !------------------------------------

    call assert(size(yjdat) == size(fdat), "inter_bary")

    ! Initialisation des variables
    inter_bary(:) = 0.
    y0    = -90.
    dym   = 0.
    jmod  = 1
    jdat  = 1

    do while (jmod <= size(yjmod))
       do while (yjmod(jmod) > yjdat(jdat))
          dy         = yjdat(jdat) - y0
          dym        = dym + dy
          inter_bary(jmod) = inter_bary(jmod) + dy * fdat(jdat)
          y0         = yjdat(jdat)
          jdat       = jdat + 1
       end do
       IF (yjmod(jmod) < yjdat(jdat)) THEN
          dy         = yjmod(jmod) - y0
          dym        = dym + dy
          inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym
          y0         = yjmod(jmod)
          dym        = 0.
          jmod       = jmod + 1
       ELSE
          ! {yjmod(jmod) == yjdat(jdat)}
          dy         = yjmod(jmod) - y0
          dym        = dym + dy
          inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym
          y0         = yjmod(jmod)
          dym        = 0.
          jmod       = jmod + 1
          jdat       = jdat + 1
       END IF
    end do
    ! Le test de fin suppose que l'interface 0 est commune aux deux
    ! grilles "yjdat" et "yjmod".

  END function inter_bary

  !******************************

  SUBROUTINE ord_coord(xi, xo, decrois)

    ! From dyn3d/ord_coord.F, version 1.1.1.1 2004/05/19 12:53:06
    ! Author : P. Le Van

    ! This procedure receives an array of latitudes.
    ! It converts them to degrees if they are in radians.
    ! If the input latitudes are in decreasing order, the procedure
    ! reverses their order.
    ! Finally, the procedure adds 90° as the last value of the array.

    use numer_rec, only: assert_eq
    use comconst, only: pi

    IMPLICIT NONE

    REAL, intent(in):: xi(:)
    ! (latitude, in degrees or radians, in increasing or decreasing order)
    ! ("xi" should contain latitudes from pole to pole.
    ! "xi" should contain the latitudes of the boundaries of grid
    ! cells, not the centers of grid cells.
    ! So the extreme values should not be 90° and -90°.)

    REAL, intent(out):: xo(:) ! angles in degrees
    LOGICAL, intent(out):: decrois

    ! Variables  local to the procedure:
    INTEGER nmax, i

    !--------------------

    nmax = assert_eq(size(xi), size(xo) - 1, "ord_coord")

    ! Check monotonicity:
    decrois = xi(2) < xi(1)
    DO i = 3, nmax
       IF (decrois .neqv. xi(i) < xi(i-1)) stop &
            '"ord_coord":  latitudes are not monotonic'
    ENDDO

    IF (abs(xi(1)) < pi) then
       ! "xi" contains latitudes in radians
       xo(:nmax) = xi(:) * 180. / pi
    else
       ! "xi" contains latitudes in degrees
       xo(:nmax) = xi(:)
    end IF

    IF (ABS(abs(xo(1)) - 90) < 0.001 .or. ABS(abs(xo(nmax)) - 90) < 0.001) THEN
       print *, "ord_coord"
       PRINT *, '"xi" should contain the latitudes of the boundaries of ' &
            // 'grid cells, not the centers of grid cells.'
       STOP
    ENDIF

    IF (decrois) xo(:nmax) = xo(nmax:1:- 1)
    xo(nmax + 1) = 90.

  END SUBROUTINE ord_coord

  !***********************************

  function ord_coordm(xi)

    ! From dyn3d/ord_coordm.F, version 1.1.1.1 2004/05/19 12:53:06
    ! Author : P. Le Van

    ! This procedure converts to degrees, if necessary, and inverts the
    ! order.

    use comconst, only: pi

    IMPLICIT NONE

    REAL, intent(in):: xi(:) ! angle, in rad or degrees
    REAL ord_coordm(size(xi)) ! angle, in degrees

    !-----------------------------

    IF (xi(1) < 6.5) THEN
       ! "xi" is in rad
       ord_coordm(:) = xi(size(xi):1:-1) * 180. / pi
    else
       ! "xi" is in degrees
       ord_coordm(:) = xi(size(xi):1:-1)
    ENDIF

  END function ord_coordm

end module inter_barxy_m
1	guez	3	module inter_barxy_m
2
3			! From inter_barxy.F, version 1.1.1.1 2004/05/19 12:53:07
4
5			implicit none
6
7			private
8			public inter_barxy
9
10			contains
11
12			SUBROUTINE inter_barxy(dlonid, dlatid, champ, rlonimod, rlatimod, champint)
13
14			! Author: P. Le Van
15
16	guez	13	use numer_rec, only: assert_eq, assert
17	guez	3	use dimens_m, only: iim, jjm
18			use comgeom, only: aire_2d, apoln, apols
19
20			REAL, intent(in):: dlonid(:)
21			! (longitude from input file, in rad, from -pi to pi)
22
23			REAL, intent(in):: dlatid(:), champ(:, :), rlonimod(:)
24
25			REAL, intent(in):: rlatimod(:)
26			! (latitude angle, in degrees or rad, in strictly decreasing order)
27
28			real, intent(out):: champint(:, :)
29			! Si taille de la seconde dim = jjm + 1, on veut interpoler sur les
30			! jjm+1 latitudes rlatu du modele (latitudes des scalaires et de U)
31			! Si taille de la seconde dim = jjm, on veut interpoler sur les
32			! jjm latitudes rlatv du modèle (latitudes de V)
33
34			! Variables local to the procedure:
35
36			REAL champy(iim, size(champ, 2))
37			integer j, i, jnterfd, jmods
38
39			REAL yjmod(size(champint, 2))
40			! (angle, in degrees, in strictly increasing order)
41
42			REAL yjdat(size(dlatid) + 1) ! angle, in degrees, in increasing order
43			LOGICAL decrois ! "dlatid" is in decreasing order
44
45			!-----------------------------------
46
47			jnterfd = assert_eq(size(champ, 2) - 1, size(dlatid), &
48			"inter_barxy jnterfd")
49			jmods = size(champint, 2)
50			call assert(size(champ, 1) == size(dlonid), "inter_barxy size(champ, 1)")
51			call assert((/size(rlonimod), size(champint, 1)/) == iim, &
52			"inter_barxy iim")
53			call assert(any(jmods == (/jjm, jjm + 1/)), 'inter_barxy jmods')
54			call assert(size(rlatimod) == jjm, "inter_barxy size(rlatimod)")
55
56			! Check decreasing order for "rlatimod":
57			DO i = 2, jjm
58			IF (rlatimod(i) >= rlatimod(i-1)) stop &
59			'"inter_barxy": "rlatimod" should be strictly decreasing'
60			ENDDO
61
62			yjmod(:jjm) = ord_coordm(rlatimod)
63			IF (jmods == jjm + 1) THEN
64			IF (90. - yjmod(jjm) < 0.01) stop &
65			'"inter_barxy": with jmods = jjm + 1, yjmod(jjm) should be < 90.'
66			ELSE
67			! jmods = jjm
68			IF (ABS(yjmod(jjm) - 90.) > 0.01) stop &
69			'"inter_barxy": with jmods = jjm, yjmod(jjm) should be 90.'
70			ENDIF
71
72			if (jmods == jjm + 1) yjmod(jjm + 1) = 90.
73
74			DO j = 1, jnterfd + 1
75			champy(:, j) = inter_barx(dlonid, champ(:, j), rlonimod)
76			ENDDO
77
78			CALL ord_coord(dlatid, yjdat, decrois)
79			IF (decrois) champy(:, :) = champy(:, jnterfd + 1:1:-1)
80			DO i = 1, iim
81			champint(i, :) = inter_bary(yjdat, champy(i, :), yjmod)
82			ENDDO
83			champint(:, :) = champint(:, jmods:1:-1)
84
85			IF (jmods == jjm + 1) THEN
86			! Valeurs uniques aux poles
87			champint(:, 1) = SUM(aire_2d(:iim, 1) * champint(:, 1)) / apoln
88			champint(:, jjm + 1) = SUM(aire_2d(:iim, jjm + 1) &
89			* champint(:, jjm + 1)) / apols
90			ENDIF
91
92			END SUBROUTINE inter_barxy
93
94			!******************************
95
96			function inter_barx(dlonid, fdat, rlonimod)
97
98			! From dyn3d/inter_barx.F, v 1.1.1.1 2004/05/19 12:53:06
99
100			! Auteurs : Robert Sadourny, P. Le Van
101
102			! INTERPOLATION BARYCENTRIQUE BASEE SUR LES AIRES
103			! VERSION UNIDIMENSIONNELLE , EN LONGITUDE .
104
105			! idat : indice du champ de donnees, de 1 a idatmax
106			! imod : indice du champ du modele, de 1 a imodmax
107			! fdat(idat) : champ de donnees (entrees)
108			! inter_barx(imod) : champ du modele (sorties)
109			! dlonid(idat): abscisses des interfaces des mailles donnees
110			! rlonimod(imod): abscisses des interfaces des mailles modele
111			! ( L'indice 1 correspond a l'interface mailLE 1 / maille 2)
112			! ( Les abscisses sont exprimées en degres)
113
114	guez	13	use numer_rec, only: assert_eq
115	guez	3
116			IMPLICIT NONE
117
118			REAL, intent(in):: dlonid(:)
119			real, intent(in):: fdat(:)
120			real, intent(in):: rlonimod(:)
121
122			real inter_barx(size(rlonimod))
123
124			! ... Variables locales ...
125
126			INTEGER idatmax, imodmax
127			REAL xxid(size(dlonid)+1), xxd(size(dlonid)+1), fdd(size(dlonid)+1)
128			REAL fxd(size(dlonid)+1), xchan(size(dlonid)+1), fdchan(size(dlonid)+1)
129			REAL xxim(size(rlonimod))
130
131			REAL x0, xim0, dx, dxm
132			REAL chmin, chmax, pi
133
134			INTEGER imod, idat, i, ichang, id0, id1, nid, idatmax1
135
136			!-----------------------------------------------------
137
138			idatmax = assert_eq(size(dlonid), size(fdat), "inter_barx idatmax")
139			imodmax = size(rlonimod)
140
141			pi = 2. * ASIN(1.)
142
143			! REDEFINITION DE L'ORIGINE DES ABSCISSES
144			! A L'INTERFACE OUEST DE LA PREMIERE MAILLE DU MODELE
145			DO imod = 1, imodmax
146			xxim(imod) = rlonimod(imod)
147			ENDDO
148
149			CALL minmax( imodmax, xxim, chmin, chmax)
150			IF( chmax.LT.6.50 ) THEN
151			DO imod = 1, imodmax
152			xxim(imod) = xxim(imod) * 180./pi
153			ENDDO
154			ENDIF
155
156			xim0 = xxim(imodmax) - 360.
157
158			DO imod = 1, imodmax
159			xxim(imod) = xxim(imod) - xim0
160			ENDDO
161
162			idatmax1 = idatmax +1
163
164			DO idat = 1, idatmax
165			xxd(idat) = dlonid(idat)
166			ENDDO
167
168			CALL minmax( idatmax, xxd, chmin, chmax)
169			IF( chmax.LT.6.50 ) THEN
170			DO idat = 1, idatmax
171			xxd(idat) = xxd(idat) * 180./pi
172			ENDDO
173			ENDIF
174
175			DO idat = 1, idatmax
176			xxd(idat) = AMOD( xxd(idat) - xim0, 360. )
177			fdd(idat) = fdat (idat)
178			ENDDO
179
180			i = 2
181			DO while (xxd(i) >= xxd(i-1) .and. i < idatmax)
182			i = i + 1
183			ENDDO
184			IF (xxd(i) < xxd(i-1)) THEN
185			ichang = i
186			! * reorganisation des longitudes entre 0. et 360. degres **
187			nid = idatmax - ichang +1
188			DO i = 1, nid
189			xchan (i) = xxd(i+ichang -1 )
190			fdchan(i) = fdd(i+ichang -1 )
191			ENDDO
192			DO i=1, ichang -1
193			xchan (i+ nid) = xxd(i)
194			fdchan(i+nid) = fdd(i)
195			ENDDO
196			DO i =1, idatmax
197			xxd(i) = xchan(i)
198			fdd(i) = fdchan(i)
199			ENDDO
200			end IF
201
202			! translation des champs de donnees par rapport
203			! a la nouvelle origine, avec redondance de la
204			! maille a cheval sur les bords
205
206			id0 = 0
207			id1 = 0
208
209			DO idat = 1, idatmax
210			IF ( xxd( idatmax1- idat ).LT.360.) exit
211			id1 = id1 + 1
212			ENDDO
213
214			DO idat = 1, idatmax
215			IF (xxd(idat).GT.0.) exit
216			id0 = id0 + 1
217			END DO
218
219			IF( id1 /= 0 ) then
220			DO idat = 1, id1
221			xxid(idat) = xxd(idatmax - id1 + idat) - 360.
222			fxd (idat) = fdd(idatmax - id1 + idat)
223			END DO
224			DO idat = 1, idatmax - id1
225			xxid(idat + id1) = xxd(idat)
226			fxd (idat + id1) = fdd(idat)
227			END DO
228			end IF
229
230			IF(id0 /= 0) then
231			DO idat = 1, idatmax - id0
232			xxid(idat) = xxd(idat + id0)
233			fxd (idat) = fdd(idat + id0)
234			END DO
235
236			DO idat = 1, id0
237			xxid (idatmax - id0 + idat) = xxd(idat) + 360.
238			fxd (idatmax - id0 + idat) = fdd(idat)
239			END DO
240			else
241			DO idat = 1, idatmax
242			xxid(idat) = xxd(idat)
243			fxd (idat) = fdd(idat)
244			ENDDO
245			end IF
246			xxid(idatmax1) = xxid(1) + 360.
247			fxd (idatmax1) = fxd(1)
248
249			! initialisation du champ du modele
250
251			inter_barx(:) = 0.
252
253			! iteration
254
255			x0 = xim0
256			dxm = 0.
257			imod = 1
258			idat = 1
259
260			do while (imod <= imodmax)
261			do while (xxim(imod).GT.xxid(idat))
262			dx = xxid(idat) - x0
263			dxm = dxm + dx
264			inter_barx(imod) = inter_barx(imod) + dx * fxd(idat)
265			x0 = xxid(idat)
266			idat = idat + 1
267			end do
268			IF (xxim(imod).LT.xxid(idat)) THEN
269			dx = xxim(imod) - x0
270			dxm = dxm + dx
271			inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm
272			x0 = xxim(imod)
273			dxm = 0.
274			imod = imod + 1
275			ELSE
276			dx = xxim(imod) - x0
277			dxm = dxm + dx
278			inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm
279			x0 = xxim(imod)
280			dxm = 0.
281			imod = imod + 1
282			idat = idat + 1
283			END IF
284			end do
285
286			END function inter_barx
287
288			!******************************
289
290			function inter_bary(yjdat, fdat, yjmod)
291
292			! From dyn3d/inter_bary.F, version 1.1.1.1 2004/05/19 12:53:06
293			! Authors: R. Sadourny, P. Le Van
294
295			! Interpolation barycentrique basée sur les aires.
296			! Version unidimensionnelle, en latitude.
297			! L'indice 1 correspond à l'interface maille 1 -- maille 2.
298
299	guez	13	use numer_rec, only: assert
300	guez	3
301			IMPLICIT NONE
302
303			REAL, intent(in):: yjdat(:)
304			! (angles, ordonnées des interfaces des mailles des données, in
305			! degrees, in increasing order)
306
307			REAL, intent(in):: fdat(:) ! champ de données
308
309			REAL, intent(in):: yjmod(:)
310			! (ordonnées des interfaces des mailles du modèle)
311			! (in degrees, in strictly increasing order)
312
313			REAL inter_bary(size(yjmod)) ! champ du modèle
314
315			! Variables local to the procedure:
316
317			REAL y0, dy, dym
318			INTEGER jdat ! indice du champ de données
319			integer jmod ! indice du champ du modèle
320
321			!------------------------------------
322
323			call assert(size(yjdat) == size(fdat), "inter_bary")
324
325			! Initialisation des variables
326			inter_bary(:) = 0.
327			y0 = -90.
328			dym = 0.
329			jmod = 1
330			jdat = 1
331
332			do while (jmod <= size(yjmod))
333			do while (yjmod(jmod) > yjdat(jdat))
334			dy = yjdat(jdat) - y0
335			dym = dym + dy
336			inter_bary(jmod) = inter_bary(jmod) + dy * fdat(jdat)
337			y0 = yjdat(jdat)
338			jdat = jdat + 1
339			end do
340			IF (yjmod(jmod) < yjdat(jdat)) THEN
341			dy = yjmod(jmod) - y0
342			dym = dym + dy
343			inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym
344			y0 = yjmod(jmod)
345			dym = 0.
346			jmod = jmod + 1
347			ELSE
348	guez	24	! {yjmod(jmod) == yjdat(jdat)}
349	guez	3	dy = yjmod(jmod) - y0
350			dym = dym + dy
351			inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym
352			y0 = yjmod(jmod)
353			dym = 0.
354			jmod = jmod + 1
355			jdat = jdat + 1
356			END IF
357			end do
358			! Le test de fin suppose que l'interface 0 est commune aux deux
359			! grilles "yjdat" et "yjmod".
360
361			END function inter_bary
362
363			!******************************
364
365			SUBROUTINE ord_coord(xi, xo, decrois)
366
367			! From dyn3d/ord_coord.F, version 1.1.1.1 2004/05/19 12:53:06
368			! Author : P. Le Van
369
370			! This procedure receives an array of latitudes.
371			! It converts them to degrees if they are in radians.
372			! If the input latitudes are in decreasing order, the procedure
373			! reverses their order.
374			! Finally, the procedure adds 90° as the last value of the array.
375
376	guez	13	use numer_rec, only: assert_eq
377	guez	3	use comconst, only: pi
378
379			IMPLICIT NONE
380
381			REAL, intent(in):: xi(:)
382			! (latitude, in degrees or radians, in increasing or decreasing order)
383			! ("xi" should contain latitudes from pole to pole.
384			! "xi" should contain the latitudes of the boundaries of grid
385			! cells, not the centers of grid cells.
386			! So the extreme values should not be 90° and -90°.)
387
388			REAL, intent(out):: xo(:) ! angles in degrees
389			LOGICAL, intent(out):: decrois
390
391			! Variables local to the procedure:
392			INTEGER nmax, i
393
394			!--------------------
395
396			nmax = assert_eq(size(xi), size(xo) - 1, "ord_coord")
397
398			! Check monotonicity:
399			decrois = xi(2) < xi(1)
400			DO i = 3, nmax
401			IF (decrois .neqv. xi(i) < xi(i-1)) stop &
402			'"ord_coord": latitudes are not monotonic'
403			ENDDO
404
405			IF (abs(xi(1)) < pi) then
406			! "xi" contains latitudes in radians
407			xo(:nmax) = xi(:) * 180. / pi
408			else
409			! "xi" contains latitudes in degrees
410			xo(:nmax) = xi(:)
411			end IF
412
413			IF (ABS(abs(xo(1)) - 90) < 0.001 .or. ABS(abs(xo(nmax)) - 90) < 0.001) THEN
414			print *, "ord_coord"
415			PRINT *, '"xi" should contain the latitudes of the boundaries of ' &
416			// 'grid cells, not the centers of grid cells.'
417			STOP
418			ENDIF
419
420			IF (decrois) xo(:nmax) = xo(nmax:1:- 1)
421			xo(nmax + 1) = 90.
422
423			END SUBROUTINE ord_coord
424
425			!***********************************
426
427			function ord_coordm(xi)
428
429			! From dyn3d/ord_coordm.F, version 1.1.1.1 2004/05/19 12:53:06
430			! Author : P. Le Van
431
432			! This procedure converts to degrees, if necessary, and inverts the
433			! order.
434
435			use comconst, only: pi
436
437			IMPLICIT NONE
438
439			REAL, intent(in):: xi(:) ! angle, in rad or degrees
440			REAL ord_coordm(size(xi)) ! angle, in degrees
441
442			!-----------------------------
443
444			IF (xi(1) < 6.5) THEN
445			! "xi" is in rad
446			ord_coordm(:) = xi(size(xi):1:-1) * 180. / pi
447			else
448			! "xi" is in degrees
449			ord_coordm(:) = xi(size(xi):1:-1)
450			ENDIF
451
452			END function ord_coordm
453
454			end module inter_barxy_m