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module fxhyp_m |
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IMPLICIT NONE |
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contains |
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SUBROUTINE fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025) |
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! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
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! Author: P. Le Van, from formulas by R. Sadourny |
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|
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! Calcule les longitudes et dérivées dans la grille du GCM pour |
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! une fonction f(x) à dérivée tangente hyperbolique. |
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|
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! Il vaut mieux avoir : grossismx \times dzoom < pi |
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|
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! Le premier point scalaire pour une grille regulière (grossismx = |
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! 1., taux=0., clon=0.) est à - 180 degrés. |
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|
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USE dimens_m, ONLY: iim |
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use fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax |
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use nr_util, only: pi_d, twopi_d, arth |
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use serre, only: clon, grossismx, dzoomx, taux |
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|
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REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
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real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
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|
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! Local: |
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|
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real rlonm025(iim + 1), rlonp025(iim + 1) |
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REAL dzoom |
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DOUBLE PRECISION xlon(iim) |
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DOUBLE PRECISION xtild(0:2 * nmax) |
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DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax) |
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DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax) |
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DOUBLE PRECISION xzoom, fa, fb |
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INTEGER i |
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DOUBLE PRECISION xmoy, fxm |
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DOUBLE PRECISION decalx |
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|
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!---------------------------------------------------------------------- |
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|
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print *, "Call sequence information: fxhyp" |
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|
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dzoom = dzoomx * twopi_d |
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xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1) |
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|
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! Compute fhyp: |
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DO i = nmax, 2 * nmax |
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fa = taux * (dzoom / 2. - xtild(i)) |
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fb = xtild(i) * (pi_d - xtild(i)) |
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|
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IF (200. * fb < - fa) THEN |
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fhyp(i) = - 1. |
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ELSE IF (200. * fb < fa) THEN |
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fhyp(i) = 1. |
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ELSE |
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IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
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IF (200. * fb + fa < 1e-10) THEN |
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fhyp(i) = - 1. |
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ELSE IF (200. * fb - fa < 1e-10) THEN |
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fhyp(i) = 1. |
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END IF |
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ELSE |
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fhyp(i) = TANH(fa / fb) |
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END IF |
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END IF |
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|
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IF (xtild(i) == 0.) fhyp(i) = 1. |
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IF (xtild(i) == pi_d) fhyp(i) = -1. |
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END DO |
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|
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! Calcul de beta |
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|
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ffdx = 0. |
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|
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DO i = nmax + 1, 2 * nmax |
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xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
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fa = taux * (dzoom / 2. - xmoy) |
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fb = xmoy * (pi_d - xmoy) |
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|
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IF (200. * fb < - fa) THEN |
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fxm = - 1. |
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ELSE IF (200. * fb < fa) THEN |
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fxm = 1. |
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ELSE |
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IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
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IF (200. * fb + fa < 1e-10) THEN |
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fxm = - 1. |
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ELSE IF (200. * fb - fa < 1e-10) THEN |
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fxm = 1. |
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END IF |
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ELSE |
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fxm = TANH(fa / fb) |
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END IF |
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END IF |
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IF (xmoy == 0.) fxm = 1. |
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IF (xmoy == pi_d) fxm = -1. |
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ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
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END DO |
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print *, "ffdx = ", ffdx |
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beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
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print *, "beta = ", beta |
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IF (2. * beta - grossismx <= 0.) THEN |
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print *, 'Bad choice of grossismx, taux, dzoomx.' |
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print *, 'Decrease dzoomx or grossismx.' |
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STOP 1 |
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END IF |
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|
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! calcul de Xprimt |
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Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp |
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xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1) |
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|
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! Calcul de Xf |
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DO i = nmax + 1, 2 * nmax |
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xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
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fa = taux * (dzoom / 2. - xmoy) |
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fb = xmoy * (pi_d - xmoy) |
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IF (200. * fb < - fa) THEN |
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fxm = - 1. |
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ELSE IF (200. * fb < fa) THEN |
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fxm = 1. |
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ELSE |
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fxm = TANH(fa / fb) |
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END IF |
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IF (xmoy == 0.) fxm = 1. |
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IF (xmoy == pi_d) fxm = -1. |
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xxpr(i) = beta + (grossismx - beta) * fxm |
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END DO |
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|
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xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1) |
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|
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Xf(0) = - pi_d |
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|
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DO i=1, 2 * nmax - 1 |
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Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
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END DO |
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|
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Xf(2 * nmax) = pi_d |
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IF (grossismx == 1.) THEN |
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decalx = 1d0 |
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else |
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decalx = 0.75d0 |
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END IF |
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|
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xzoom = clon * pi_d / 180d0 |
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call fxhyp_loop_ik(1, decalx, xf, xtild, Xprimt, xzoom, rlonm025, & |
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xprimm025, xuv = - 0.25d0) |
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call fxhyp_loop_ik(2, decalx, xf, xtild, Xprimt, xzoom, rlonv, xprimv, & |
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xuv = 0d0) |
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call fxhyp_loop_ik(3, decalx, xf, xtild, Xprimt, xzoom, rlonu, xprimu, & |
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xuv = 0.5d0) |
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call fxhyp_loop_ik(4, decalx, xf, xtild, Xprimt, xzoom, rlonp025, & |
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xprimp025, xuv = 0.25d0) |
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|
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print * |
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|
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forall (i = 1: iim) xlon(i) = rlonv(i + 1) - rlonv(i) |
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print *, "Minimum longitude step:", MINval(xlon) * 180. / pi_d, "degrees" |
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print *, "Maximum longitude step:", MAXval(xlon) * 180. / pi_d, "degrees" |
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DO i = 1, iim + 1 |
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IF (rlonp025(i) < rlonv(i)) THEN |
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print *, 'rlonp025(', i, ') = ', rlonp025(i) |
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print *, "< rlonv(", i, ") = ", rlonv(i) |
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STOP 1 |
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END IF |
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IF (rlonv(i) < rlonm025(i)) THEN |
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print *, 'rlonv(', i, ') = ', rlonv(i) |
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print *, "< rlonm025(", i, ") = ", rlonm025(i) |
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STOP 1 |
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END IF |
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IF (rlonp025(i) > rlonu(i)) THEN |
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print *, 'rlonp025(', i, ') = ', rlonp025(i) |
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print *, "> rlonu(", i, ") = ", rlonu(i) |
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STOP 1 |
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END IF |
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END DO |
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|
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END SUBROUTINE fxhyp |
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|
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end module fxhyp_m |
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