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module inter_barxy_m |
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|
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! From inter_barxy.F, version 1.1.1.1 2004/05/19 12:53:07 |
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|
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implicit none |
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|
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private |
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public inter_barxy |
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|
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contains |
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|
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SUBROUTINE inter_barxy(dlonid, dlatid, champ, rlonimod, rlatimod, champint) |
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|
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! Author: P. Le Van |
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|
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use nr_util, only: assert_eq, assert |
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use dimens_m, only: iim, jjm |
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use comgeom, only: aire_2d, apoln, apols |
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|
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REAL, intent(in):: dlonid(:) |
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! (longitude from input file, in rad, from -pi to pi) |
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|
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REAL, intent(in):: dlatid(:), champ(:, :), rlonimod(:) |
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|
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REAL, intent(in):: rlatimod(:) |
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! (latitude angle, in degrees or rad, in strictly decreasing order) |
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|
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real, intent(out):: champint(:, :) |
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! Si taille de la seconde dim = jjm + 1, on veut interpoler sur les |
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! jjm+1 latitudes rlatu du modele (latitudes des scalaires et de U) |
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! Si taille de la seconde dim = jjm, on veut interpoler sur les |
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! jjm latitudes rlatv du modèle (latitudes de V) |
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|
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! Variables local to the procedure: |
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|
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REAL champy(iim, size(champ, 2)) |
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integer j, i, jnterfd, jmods |
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|
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REAL yjmod(size(champint, 2)) |
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! (angle, in degrees, in strictly increasing order) |
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|
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REAL yjdat(size(dlatid) + 1) ! angle, in degrees, in increasing order |
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LOGICAL decrois ! "dlatid" is in decreasing order |
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|
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!----------------------------------- |
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|
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jnterfd = assert_eq(size(champ, 2) - 1, size(dlatid), & |
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"inter_barxy jnterfd") |
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jmods = size(champint, 2) |
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call assert(size(champ, 1) == size(dlonid), "inter_barxy size(champ, 1)") |
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call assert((/size(rlonimod), size(champint, 1)/) == iim, & |
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"inter_barxy iim") |
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call assert(any(jmods == (/jjm, jjm + 1/)), 'inter_barxy jmods') |
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call assert(size(rlatimod) == jjm, "inter_barxy size(rlatimod)") |
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|
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! Check decreasing order for "rlatimod": |
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DO i = 2, jjm |
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IF (rlatimod(i) >= rlatimod(i-1)) then |
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print *, '"inter_barxy": "rlatimod" should be strictly decreasing' |
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stop 1 |
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end IF |
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ENDDO |
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|
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yjmod(:jjm) = ord_coordm(rlatimod) |
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IF (jmods == jjm + 1) THEN |
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IF (90. - yjmod(jjm) < 0.01) then |
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print *, '"inter_barxy": with jmods = jjm + 1, ' & |
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// 'yjmod(jjm) should be < 90.' |
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stop 1 |
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end IF |
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ELSE |
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! jmods = jjm |
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IF (ABS(yjmod(jjm) - 90.) > 0.01) then |
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print *, '"inter_barxy": with jmods = jjm, yjmod(jjm) should be 90.' |
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stop 1 |
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end IF |
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ENDIF |
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|
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if (jmods == jjm + 1) yjmod(jjm + 1) = 90. |
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|
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DO j = 1, jnterfd + 1 |
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champy(:, j) = inter_barx(dlonid, champ(:, j), rlonimod) |
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ENDDO |
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|
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CALL ord_coord(dlatid, yjdat, decrois) |
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IF (decrois) champy(:, :) = champy(:, jnterfd + 1:1:-1) |
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DO i = 1, iim |
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champint(i, :) = inter_bary(yjdat, champy(i, :), yjmod) |
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ENDDO |
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champint(:, :) = champint(:, jmods:1:-1) |
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|
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IF (jmods == jjm + 1) THEN |
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! Valeurs uniques aux poles |
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champint(:, 1) = SUM(aire_2d(:iim, 1) * champint(:, 1)) / apoln |
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champint(:, jjm + 1) = SUM(aire_2d(:iim, jjm + 1) & |
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* champint(:, jjm + 1)) / apols |
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ENDIF |
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|
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END SUBROUTINE inter_barxy |
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|
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!****************************** |
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|
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function inter_barx(dlonid, fdat, rlonimod) |
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|
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! From dyn3d/inter_barx.F, v 1.1.1.1 2004/05/19 12:53:06 |
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|
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! Auteurs : Robert Sadourny, P. Le Van |
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|
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! INTERPOLATION BARYCENTRIQUE BASEE SUR LES AIRES |
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! VERSION UNIDIMENSIONNELLE , EN LONGITUDE . |
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|
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! idat : indice du champ de donnees, de 1 a idatmax |
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! imod : indice du champ du modele, de 1 a imodmax |
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! fdat(idat) : champ de donnees (entrees) |
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! inter_barx(imod) : champ du modele (sorties) |
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! dlonid(idat): abscisses des interfaces des mailles donnees |
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! rlonimod(imod): abscisses des interfaces des mailles modele |
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! ( L'indice 1 correspond a l'interface mailLE 1 / maille 2) |
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! ( Les abscisses sont exprimées en degres) |
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|
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use nr_util, only: assert_eq |
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|
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IMPLICIT NONE |
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|
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REAL, intent(in):: dlonid(:) |
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real, intent(in):: fdat(:) |
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real, intent(in):: rlonimod(:) |
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|
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real inter_barx(size(rlonimod)) |
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|
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! ... Variables locales ... |
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|
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INTEGER idatmax, imodmax |
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REAL xxid(size(dlonid)+1), xxd(size(dlonid)+1), fdd(size(dlonid)+1) |
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REAL fxd(size(dlonid)+1), xchan(size(dlonid)+1), fdchan(size(dlonid)+1) |
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REAL xxim(size(rlonimod)) |
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|
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REAL x0, xim0, dx, dxm |
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REAL chmin, chmax, pi |
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|
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INTEGER imod, idat, i, ichang, id0, id1, nid, idatmax1 |
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|
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!----------------------------------------------------- |
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|
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idatmax = assert_eq(size(dlonid), size(fdat), "inter_barx idatmax") |
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imodmax = size(rlonimod) |
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|
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pi = 2. * ASIN(1.) |
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|
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! REDEFINITION DE L'ORIGINE DES ABSCISSES |
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! A L'INTERFACE OUEST DE LA PREMIERE MAILLE DU MODELE |
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DO imod = 1, imodmax |
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xxim(imod) = rlonimod(imod) |
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ENDDO |
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|
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CALL minmax( imodmax, xxim, chmin, chmax) |
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IF( chmax.LT.6.50 ) THEN |
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DO imod = 1, imodmax |
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xxim(imod) = xxim(imod) * 180./pi |
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ENDDO |
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ENDIF |
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|
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xim0 = xxim(imodmax) - 360. |
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|
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DO imod = 1, imodmax |
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xxim(imod) = xxim(imod) - xim0 |
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ENDDO |
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|
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idatmax1 = idatmax +1 |
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|
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DO idat = 1, idatmax |
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xxd(idat) = dlonid(idat) |
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ENDDO |
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|
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CALL minmax( idatmax, xxd, chmin, chmax) |
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IF( chmax.LT.6.50 ) THEN |
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DO idat = 1, idatmax |
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xxd(idat) = xxd(idat) * 180./pi |
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ENDDO |
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ENDIF |
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|
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DO idat = 1, idatmax |
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xxd(idat) = AMOD( xxd(idat) - xim0, 360. ) |
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fdd(idat) = fdat (idat) |
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ENDDO |
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|
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i = 2 |
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DO while (xxd(i) >= xxd(i-1) .and. i < idatmax) |
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i = i + 1 |
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ENDDO |
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IF (xxd(i) < xxd(i-1)) THEN |
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ichang = i |
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! *** reorganisation des longitudes entre 0. et 360. degres **** |
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nid = idatmax - ichang +1 |
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DO i = 1, nid |
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xchan (i) = xxd(i+ichang -1 ) |
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fdchan(i) = fdd(i+ichang -1 ) |
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ENDDO |
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DO i=1, ichang -1 |
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xchan (i+ nid) = xxd(i) |
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fdchan(i+nid) = fdd(i) |
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ENDDO |
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DO i =1, idatmax |
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xxd(i) = xchan(i) |
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fdd(i) = fdchan(i) |
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ENDDO |
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end IF |
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|
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! translation des champs de donnees par rapport |
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! a la nouvelle origine, avec redondance de la |
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! maille a cheval sur les bords |
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|
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id0 = 0 |
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id1 = 0 |
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|
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DO idat = 1, idatmax |
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IF ( xxd( idatmax1- idat ).LT.360.) exit |
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id1 = id1 + 1 |
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ENDDO |
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|
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DO idat = 1, idatmax |
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IF (xxd(idat).GT.0.) exit |
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id0 = id0 + 1 |
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END DO |
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|
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IF( id1 /= 0 ) then |
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DO idat = 1, id1 |
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xxid(idat) = xxd(idatmax - id1 + idat) - 360. |
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fxd (idat) = fdd(idatmax - id1 + idat) |
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END DO |
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DO idat = 1, idatmax - id1 |
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xxid(idat + id1) = xxd(idat) |
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fxd (idat + id1) = fdd(idat) |
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END DO |
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end IF |
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|
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IF(id0 /= 0) then |
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DO idat = 1, idatmax - id0 |
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xxid(idat) = xxd(idat + id0) |
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fxd (idat) = fdd(idat + id0) |
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END DO |
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|
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DO idat = 1, id0 |
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xxid (idatmax - id0 + idat) = xxd(idat) + 360. |
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fxd (idatmax - id0 + idat) = fdd(idat) |
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END DO |
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else |
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DO idat = 1, idatmax |
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xxid(idat) = xxd(idat) |
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fxd (idat) = fdd(idat) |
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ENDDO |
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end IF |
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xxid(idatmax1) = xxid(1) + 360. |
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fxd (idatmax1) = fxd(1) |
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|
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! initialisation du champ du modele |
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|
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inter_barx(:) = 0. |
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|
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! iteration |
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|
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x0 = xim0 |
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dxm = 0. |
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imod = 1 |
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idat = 1 |
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|
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do while (imod <= imodmax) |
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do while (xxim(imod).GT.xxid(idat)) |
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dx = xxid(idat) - x0 |
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dxm = dxm + dx |
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inter_barx(imod) = inter_barx(imod) + dx * fxd(idat) |
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x0 = xxid(idat) |
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idat = idat + 1 |
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end do |
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IF (xxim(imod).LT.xxid(idat)) THEN |
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dx = xxim(imod) - x0 |
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dxm = dxm + dx |
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inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm |
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x0 = xxim(imod) |
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dxm = 0. |
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imod = imod + 1 |
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ELSE |
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dx = xxim(imod) - x0 |
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dxm = dxm + dx |
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inter_barx(imod) = (inter_barx(imod) + dx * fxd(idat)) / dxm |
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x0 = xxim(imod) |
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dxm = 0. |
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imod = imod + 1 |
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idat = idat + 1 |
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END IF |
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end do |
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|
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END function inter_barx |
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|
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!****************************** |
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|
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function inter_bary(yjdat, fdat, yjmod) |
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|
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! From dyn3d/inter_bary.F, version 1.1.1.1 2004/05/19 12:53:06 |
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! Authors: R. Sadourny, P. Le Van |
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|
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! Interpolation barycentrique basée sur les aires. |
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! Version unidimensionnelle, en latitude. |
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! L'indice 1 correspond à l'interface maille 1 -- maille 2. |
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|
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use nr_util, only: assert |
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|
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IMPLICIT NONE |
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|
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REAL, intent(in):: yjdat(:) |
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! (angles, ordonnées des interfaces des mailles des données, in |
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! degrees, in increasing order) |
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|
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REAL, intent(in):: fdat(:) ! champ de données |
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|
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REAL, intent(in):: yjmod(:) |
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! (ordonnées des interfaces des mailles du modèle) |
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! (in degrees, in strictly increasing order) |
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|
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REAL inter_bary(size(yjmod)) ! champ du modèle |
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|
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! Variables local to the procedure: |
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|
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REAL y0, dy, dym |
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INTEGER jdat ! indice du champ de données |
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integer jmod ! indice du champ du modèle |
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|
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!------------------------------------ |
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|
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call assert(size(yjdat) == size(fdat), "inter_bary") |
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|
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! Initialisation des variables |
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inter_bary(:) = 0. |
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y0 = -90. |
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dym = 0. |
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jmod = 1 |
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jdat = 1 |
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|
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do while (jmod <= size(yjmod)) |
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do while (yjmod(jmod) > yjdat(jdat)) |
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dy = yjdat(jdat) - y0 |
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dym = dym + dy |
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inter_bary(jmod) = inter_bary(jmod) + dy * fdat(jdat) |
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y0 = yjdat(jdat) |
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jdat = jdat + 1 |
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end do |
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IF (yjmod(jmod) < yjdat(jdat)) THEN |
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dy = yjmod(jmod) - y0 |
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dym = dym + dy |
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inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym |
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y0 = yjmod(jmod) |
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dym = 0. |
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jmod = jmod + 1 |
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ELSE |
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! {yjmod(jmod) == yjdat(jdat)} |
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dy = yjmod(jmod) - y0 |
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dym = dym + dy |
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inter_bary(jmod) = (inter_bary(jmod) + dy * fdat(jdat)) / dym |
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y0 = yjmod(jmod) |
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dym = 0. |
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jmod = jmod + 1 |
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jdat = jdat + 1 |
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END IF |
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end do |
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! Le test de fin suppose que l'interface 0 est commune aux deux |
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! grilles "yjdat" et "yjmod". |
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|
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END function inter_bary |
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|
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!****************************** |
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|
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SUBROUTINE ord_coord(xi, xo, decrois) |
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|
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! From dyn3d/ord_coord.F, version 1.1.1.1 2004/05/19 12:53:06 |
| 375 |
! Author : P. Le Van |
| 376 |
|
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! This procedure receives an array of latitudes. |
| 378 |
! It converts them to degrees if they are in radians. |
| 379 |
! If the input latitudes are in decreasing order, the procedure |
| 380 |
! reverses their order. |
| 381 |
! Finally, the procedure adds 90° as the last value of the array. |
| 382 |
|
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use nr_util, only: assert_eq, pi |
| 384 |
|
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IMPLICIT NONE |
| 386 |
|
| 387 |
REAL, intent(in):: xi(:) |
| 388 |
! (latitude, in degrees or radians, in increasing or decreasing order) |
| 389 |
! ("xi" should contain latitudes from pole to pole. |
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! "xi" should contain the latitudes of the boundaries of grid |
| 391 |
! cells, not the centers of grid cells. |
| 392 |
! So the extreme values should not be 90° and -90°.) |
| 393 |
|
| 394 |
REAL, intent(out):: xo(:) ! angles in degrees |
| 395 |
LOGICAL, intent(out):: decrois |
| 396 |
|
| 397 |
! Variables local to the procedure: |
| 398 |
INTEGER nmax, i |
| 399 |
|
| 400 |
!-------------------- |
| 401 |
|
| 402 |
nmax = assert_eq(size(xi), size(xo) - 1, "ord_coord") |
| 403 |
|
| 404 |
! Check monotonicity: |
| 405 |
decrois = xi(2) < xi(1) |
| 406 |
DO i = 3, nmax |
| 407 |
IF (decrois .neqv. xi(i) < xi(i-1)) then |
| 408 |
print *, '"ord_coord": latitudes are not monotonic' |
| 409 |
stop 1 |
| 410 |
end IF |
| 411 |
ENDDO |
| 412 |
|
| 413 |
IF (abs(xi(1)) < pi) then |
| 414 |
! "xi" contains latitudes in radians |
| 415 |
xo(:nmax) = xi(:) * 180. / pi |
| 416 |
else |
| 417 |
! "xi" contains latitudes in degrees |
| 418 |
xo(:nmax) = xi(:) |
| 419 |
end IF |
| 420 |
|
| 421 |
IF (ABS(abs(xo(1)) - 90) < 0.001 .or. ABS(abs(xo(nmax)) - 90) < 0.001) THEN |
| 422 |
print *, "ord_coord" |
| 423 |
PRINT *, '"xi" should contain the latitudes of the boundaries of ' & |
| 424 |
// 'grid cells, not the centers of grid cells.' |
| 425 |
STOP 1 |
| 426 |
ENDIF |
| 427 |
|
| 428 |
IF (decrois) xo(:nmax) = xo(nmax:1:- 1) |
| 429 |
xo(nmax + 1) = 90. |
| 430 |
|
| 431 |
END SUBROUTINE ord_coord |
| 432 |
|
| 433 |
!*********************************** |
| 434 |
|
| 435 |
function ord_coordm(xi) |
| 436 |
|
| 437 |
! From dyn3d/ord_coordm.F, version 1.1.1.1 2004/05/19 12:53:06 |
| 438 |
! Author : P. Le Van |
| 439 |
|
| 440 |
! This procedure converts to degrees, if necessary, and inverts the |
| 441 |
! order. |
| 442 |
|
| 443 |
use nr_util, only: pi |
| 444 |
|
| 445 |
IMPLICIT NONE |
| 446 |
|
| 447 |
REAL, intent(in):: xi(:) ! angle, in rad or degrees |
| 448 |
REAL ord_coordm(size(xi)) ! angle, in degrees |
| 449 |
|
| 450 |
!----------------------------- |
| 451 |
|
| 452 |
IF (xi(1) < 6.5) THEN |
| 453 |
! "xi" is in rad |
| 454 |
ord_coordm(:) = xi(size(xi):1:-1) * 180. / pi |
| 455 |
else |
| 456 |
! "xi" is in degrees |
| 457 |
ord_coordm(:) = xi(size(xi):1:-1) |
| 458 |
ENDIF |
| 459 |
|
| 460 |
END function ord_coordm |
| 461 |
|
| 462 |
end module inter_barxy_m |
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