12 |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
13 |
! une fonction f(x) à dérivée tangente hyperbolique. |
! une fonction f(x) à dérivée tangente hyperbolique. |
14 |
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15 |
! On doit avoir grossismx \times dzoomx < pi (radians) |
! Il vaut mieux avoir : grossismx \times dzoom < pi |
16 |
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17 |
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! Le premier point scalaire pour une grille regulière (grossismx = |
18 |
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! 1., taux=0., clon=0.) est à - 180 degrés. |
19 |
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20 |
USE dimens_m, ONLY: iim |
USE dimens_m, ONLY: iim |
21 |
use nr_util, only: pi_d, twopi_d |
use fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax |
22 |
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use nr_util, only: pi, pi_d, twopi_d, arth |
23 |
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use principal_cshift_m, only: principal_cshift |
24 |
use serre, only: clon, grossismx, dzoomx, taux |
use serre, only: clon, grossismx, dzoomx, taux |
25 |
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26 |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
27 |
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
28 |
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29 |
! Local: |
! Local: |
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DOUBLE PRECISION champmin, champmax |
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30 |
real rlonm025(iim + 1), rlonp025(iim + 1) |
real rlonm025(iim + 1), rlonp025(iim + 1) |
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INTEGER, PARAMETER:: nmax = 30000, nmax2 = 2*nmax |
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LOGICAL, PARAMETER:: scal180 = .TRUE. |
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! scal180 = .TRUE. si on veut avoir le premier point scalaire pour |
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! une grille reguliere (grossismx = 1., taux=0., clon=0.) a |
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! -180. degres. sinon scal180 = .FALSE. |
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31 |
REAL dzoom |
REAL dzoom |
32 |
DOUBLE PRECISION xlon(iim + 1), xprimm(iim + 1), xuv |
real d_rlonv(iim) |
33 |
DOUBLE PRECISION xtild(0:nmax2) |
DOUBLE PRECISION xtild(0:2 * nmax) |
34 |
DOUBLE PRECISION fhyp(0:nmax2), ffdx, beta, Xprimt(0:nmax2) |
DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax) |
35 |
DOUBLE PRECISION Xf(0:nmax2), xxpr(0:nmax2) |
DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax) |
36 |
DOUBLE PRECISION xvrai(iim + 1), xxprim(iim + 1) |
DOUBLE PRECISION xzoom, fa, fb |
37 |
DOUBLE PRECISION my_eps, xzoom, fa, fb |
INTEGER i, is2 |
38 |
DOUBLE PRECISION Xf1, Xfi, a0, a1, a2, a3, xi2 |
DOUBLE PRECISION xmoy, fxm |
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INTEGER i, it, ik, iter, ii, idif, ii1, ii2 |
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DOUBLE PRECISION xi, xo1, xmoy, xlon2, fxm, Xprimin |
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39 |
DOUBLE PRECISION decalx |
DOUBLE PRECISION decalx |
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INTEGER, save:: is2 |
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40 |
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41 |
!---------------------------------------------------------------------- |
!---------------------------------------------------------------------- |
42 |
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43 |
my_eps = 1e-3 |
print *, "Call sequence information: fxhyp" |
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xzoom = clon * pi_d / 180. |
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IF (grossismx == 1. .AND. scal180) THEN |
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decalx = 1. |
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else |
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decalx = 0.75 |
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END IF |
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IF (dzoomx < 1.) THEN |
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dzoom = dzoomx * twopi_d |
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ELSE IF (dzoomx < 25.) THEN |
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print *, "Le paramètre dzoomx pour fxhyp est trop petit. " & |
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// "L'augmenter et relancer." |
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STOP 1 |
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ELSE |
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dzoom = dzoomx * pi_d / 180. |
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END IF |
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44 |
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45 |
print *, 'dzoom (rad):', dzoom |
dzoom = dzoomx * twopi_d |
46 |
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xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1) |
47 |
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48 |
DO i = 0, nmax2 |
! Compute fhyp: |
49 |
xtild(i) = - pi_d + REAL(i) * twopi_d / nmax2 |
DO i = nmax, 2 * nmax |
50 |
END DO |
fa = taux * (dzoom / 2. - xtild(i)) |
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DO i = nmax, nmax2 |
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fa = taux* (dzoom / 2. - xtild(i)) |
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51 |
fb = xtild(i) * (pi_d - xtild(i)) |
fb = xtild(i) * (pi_d - xtild(i)) |
52 |
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53 |
IF (200.* fb < - fa) THEN |
IF (200. * fb < - fa) THEN |
54 |
fhyp(i) = - 1. |
fhyp(i) = - 1. |
55 |
ELSE IF (200. * fb < fa) THEN |
ELSE IF (200. * fb < fa) THEN |
56 |
fhyp(i) = 1. |
fhyp(i) = 1. |
57 |
ELSE |
ELSE |
58 |
IF (ABS(fa) < 1e-13.AND.ABS(fb) < 1e-13) THEN |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
59 |
IF (200.*fb + fa < 1e-10) THEN |
IF (200. * fb + fa < 1e-10) THEN |
60 |
fhyp(i) = - 1. |
fhyp(i) = - 1. |
61 |
ELSE IF (200.*fb - fa < 1e-10) THEN |
ELSE IF (200. * fb - fa < 1e-10) THEN |
62 |
fhyp(i) = 1. |
fhyp(i) = 1. |
63 |
END IF |
END IF |
64 |
ELSE |
ELSE |
74 |
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75 |
ffdx = 0. |
ffdx = 0. |
76 |
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77 |
DO i = nmax + 1, nmax2 |
DO i = nmax + 1, 2 * nmax |
78 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
79 |
fa = taux* (dzoom / 2. - xmoy) |
fa = taux * (dzoom / 2. - xmoy) |
80 |
fb = xmoy * (pi_d - xmoy) |
fb = xmoy * (pi_d - xmoy) |
81 |
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|
82 |
IF (200.* fb < - fa) THEN |
IF (200. * fb < - fa) THEN |
83 |
fxm = - 1. |
fxm = - 1. |
84 |
ELSE IF (200. * fb < fa) THEN |
ELSE IF (200. * fb < fa) THEN |
85 |
fxm = 1. |
fxm = 1. |
86 |
ELSE |
ELSE |
87 |
IF (ABS(fa) < 1e-13.AND.ABS(fb) < 1e-13) THEN |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
88 |
IF (200.*fb + fa < 1e-10) THEN |
IF (200. * fb + fa < 1e-10) THEN |
89 |
fxm = - 1. |
fxm = - 1. |
90 |
ELSE IF (200.*fb - fa < 1e-10) THEN |
ELSE IF (200. * fb - fa < 1e-10) THEN |
91 |
fxm = 1. |
fxm = 1. |
92 |
END IF |
END IF |
93 |
ELSE |
ELSE |
101 |
ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
102 |
END DO |
END DO |
103 |
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104 |
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print *, "ffdx = ", ffdx |
105 |
beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
106 |
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print *, "beta = ", beta |
107 |
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108 |
IF (2. * beta - grossismx <= 0.) THEN |
IF (2. * beta - grossismx <= 0.) THEN |
109 |
print *, 'Attention ! La valeur beta calculée dans fxhyp est mauvaise.' |
print *, 'Bad choice of grossismx, taux, dzoomx.' |
110 |
print *, 'Modifier les valeurs de grossismx, taux ou dzoomx et relancer.' |
print *, 'Decrease dzoomx or grossismx.' |
111 |
STOP 1 |
STOP 1 |
112 |
END IF |
END IF |
113 |
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114 |
! calcul de Xprimt |
! calcul de Xprimt |
115 |
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Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp |
116 |
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xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1) |
117 |
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118 |
DO i = nmax, nmax2 |
! Calcul de Xf |
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Xprimt(i) = beta + (grossismx - beta) * fhyp(i) |
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END DO |
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DO i = nmax + 1, nmax2 |
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Xprimt(nmax2 - i) = Xprimt(i) |
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END DO |
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! Calcul de Xf |
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Xf(0) = - pi_d |
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119 |
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120 |
DO i = nmax + 1, nmax2 |
DO i = nmax + 1, 2 * nmax |
121 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
122 |
fa = taux* (dzoom / 2. - xmoy) |
fa = taux * (dzoom / 2. - xmoy) |
123 |
fb = xmoy * (pi_d - xmoy) |
fb = xmoy * (pi_d - xmoy) |
124 |
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|
125 |
IF (200.* fb < - fa) THEN |
IF (200. * fb < - fa) THEN |
126 |
fxm = - 1. |
fxm = - 1. |
127 |
ELSE IF (200. * fb < fa) THEN |
ELSE IF (200. * fb < fa) THEN |
128 |
fxm = 1. |
fxm = 1. |
135 |
xxpr(i) = beta + (grossismx - beta) * fxm |
xxpr(i) = beta + (grossismx - beta) * fxm |
136 |
END DO |
END DO |
137 |
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138 |
DO i = nmax + 1, nmax2 |
xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1) |
139 |
xxpr(nmax2-i + 1) = xxpr(i) |
|
140 |
END DO |
Xf(0) = - pi_d |
141 |
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142 |
DO i=1, nmax2 |
DO i=1, 2 * nmax - 1 |
143 |
Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
144 |
END DO |
END DO |
145 |
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146 |
! xuv = 0. si calcul aux points scalaires |
Xf(2 * nmax) = pi_d |
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! xuv = 0.5 si calcul aux points U |
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147 |
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148 |
loop_ik: DO ik = 1, 4 |
IF (grossismx == 1.) THEN |
149 |
IF (ik == 1) THEN |
decalx = 1d0 |
150 |
xuv = -0.25 |
else |
151 |
ELSE IF (ik == 2) THEN |
decalx = 0.75d0 |
152 |
xuv = 0. |
END IF |
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ELSE IF (ik == 3) THEN |
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xuv = 0.50 |
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ELSE IF (ik == 4) THEN |
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xuv = 0.25 |
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END IF |
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153 |
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154 |
xo1 = 0. |
xzoom = clon * pi_d / 180d0 |
155 |
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call fxhyp_loop_ik(1, decalx, xf, xtild, Xprimt, xzoom, rlonm025(:iim), & |
156 |
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xprimm025(:iim), xuv = - 0.25d0) |
157 |
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call fxhyp_loop_ik(2, decalx, xf, xtild, Xprimt, xzoom, rlonv(:iim), & |
158 |
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xprimv(:iim), xuv = 0d0) |
159 |
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call fxhyp_loop_ik(3, decalx, xf, xtild, Xprimt, xzoom, rlonu(:iim), & |
160 |
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xprimu(:iim), xuv = 0.5d0) |
161 |
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call fxhyp_loop_ik(4, decalx, xf, xtild, Xprimt, xzoom, rlonp025(:iim), & |
162 |
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xprimp025(:iim), xuv = 0.25d0) |
163 |
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164 |
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is2 = 0 |
165 |
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166 |
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IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
167 |
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.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
168 |
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IF (clon <= 0.) THEN |
169 |
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is2 = 1 |
170 |
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171 |
ii1=1 |
do while (rlonm025(is2) < - pi .and. is2 < iim) |
172 |
ii2=iim |
is2 = is2 + 1 |
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IF (ik == 1.and.grossismx == 1.) THEN |
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ii1 = 2 |
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ii2 = iim + 1 |
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END IF |
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DO i = ii1, ii2 |
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xlon2 = - pi_d + (REAL(i) + xuv - decalx) * twopi_d / REAL(iim) |
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Xfi = xlon2 |
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it = nmax2 |
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do while (xfi < xf(it) .and. it >= 1) |
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it = it - 1 |
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173 |
end do |
end do |
174 |
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175 |
! Calcul de Xf(xi) |
if (rlonm025(is2) < - pi) then |
176 |
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print *, 'Rlonm025 plus petit que - pi !' |
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xi = xtild(it) |
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IF (it == nmax2) THEN |
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it = nmax2 -1 |
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Xf(it + 1) = pi_d |
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END IF |
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! Appel de la routine qui calcule les coefficients a0, a1, |
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! a2, a3 d'un polynome de degre 3 qui passe par les points |
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! (Xf(it), xtild(it)) et (Xf(it + 1), xtild(it + 1)) |
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CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), & |
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xtild(it), xtild(it + 1), a0, a1, a2, a3) |
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Xf1 = Xf(it) |
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Xprimin = a1 + 2.* a2 * xi + 3.*a3 * xi *xi |
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iter = 1 |
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do |
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xi = xi - (Xf1 - Xfi) / Xprimin |
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IF (ABS(xi - xo1) <= my_eps .or. iter == 300) exit |
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xo1 = xi |
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xi2 = xi * xi |
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Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
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Xprimin = a1 + 2.* a2 * xi + 3.* a3 * xi2 |
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end DO |
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if (ABS(xi - xo1) > my_eps) then |
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! iter == 300 |
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print *, 'Pas de solution.' |
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print *, i, xlon2 |
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177 |
STOP 1 |
STOP 1 |
178 |
end if |
end if |
179 |
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ELSE |
180 |
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is2 = iim |
181 |
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182 |
xxprim(i) = twopi_d / (REAL(iim) * Xprimin) |
do while (rlonm025(is2) > pi .and. is2 > 1) |
183 |
xvrai(i) = xi + xzoom |
is2 = is2 - 1 |
184 |
end DO |
end do |
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IF (ik == 1 .and. grossismx == 1.) THEN |
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xvrai(1) = xvrai(iim + 1)-twopi_d |
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xxprim(1) = xxprim(iim + 1) |
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END IF |
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185 |
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186 |
DO i = 1, iim |
if (rlonm025(is2) > pi) then |
187 |
xlon(i) = xvrai(i) |
print *, 'Rlonm025 plus grand que pi !' |
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xprimm(i) = xxprim(i) |
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END DO |
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DO i = 1, iim -1 |
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IF (xvrai(i + 1) < xvrai(i)) THEN |
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print *, 'Problème avec rlonu(', i + 1, & |
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') plus petit que rlonu(', i, ')' |
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188 |
STOP 1 |
STOP 1 |
189 |
END IF |
end if |
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END DO |
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! Réorganisation des longitudes pour les avoir entre - pi et pi |
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champmin = 1e12 |
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champmax = -1e12 |
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DO i = 1, iim |
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champmin = MIN(champmin, xvrai(i)) |
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champmax = MAX(champmax, xvrai(i)) |
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END DO |
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IF (.not. (champmin >= -pi_d - 0.1 .and. champmax <= pi_d + 0.1)) THEN |
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print *, 'Reorganisation des longitudes pour avoir entre - pi', & |
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' et pi ' |
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IF (xzoom <= 0.) THEN |
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IF (ik == 1) THEN |
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i = 1 |
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do while (xvrai(i) < - pi_d .and. i < iim) |
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i = i + 1 |
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end do |
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if (xvrai(i) < - pi_d) then |
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print *, 'Xvrai plus petit que - pi !' |
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STOP 1 |
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end if |
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is2 = i |
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END IF |
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IF (is2.NE. 1) THEN |
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DO ii = is2, iim |
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xlon(ii-is2 + 1) = xvrai(ii) |
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xprimm(ii-is2 + 1) = xxprim(ii) |
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END DO |
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DO ii = 1, is2 -1 |
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xlon(ii + iim-is2 + 1) = xvrai(ii) + twopi_d |
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xprimm(ii + iim-is2 + 1) = xxprim(ii) |
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END DO |
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END IF |
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ELSE |
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IF (ik == 1) THEN |
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i = iim |
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do while (xvrai(i) > pi_d .and. i > 1) |
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i = i - 1 |
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end do |
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if (xvrai(i) > pi_d) then |
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print *, 'Xvrai plus grand que pi !' |
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STOP 1 |
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end if |
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is2 = i |
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END IF |
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idif = iim -is2 |
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DO ii = 1, is2 |
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xlon(ii + idif) = xvrai(ii) |
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xprimm(ii + idif) = xxprim(ii) |
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END DO |
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DO ii = 1, idif |
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xlon(ii) = xvrai(ii + is2) - twopi_d |
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xprimm(ii) = xxprim(ii + is2) |
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END DO |
|
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END IF |
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END IF |
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! Fin de la reorganisation |
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xlon(iim + 1) = xlon(1) + twopi_d |
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xprimm(iim + 1) = xprimm(1) |
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DO i = 1, iim + 1 |
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xvrai(i) = xlon(i)*180. / pi_d |
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END DO |
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IF (ik == 1) THEN |
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DO i = 1, iim + 1 |
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rlonm025(i) = xlon(i) |
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xprimm025(i) = xprimm(i) |
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END DO |
|
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ELSE IF (ik == 2) THEN |
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rlonv = xlon |
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xprimv = xprimm |
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ELSE IF (ik == 3) THEN |
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DO i = 1, iim + 1 |
|
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rlonu(i) = xlon(i) |
|
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xprimu(i) = xprimm(i) |
|
|
END DO |
|
|
ELSE IF (ik == 4) THEN |
|
|
DO i = 1, iim + 1 |
|
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rlonp025(i) = xlon(i) |
|
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xprimp025(i) = xprimm(i) |
|
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END DO |
|
190 |
END IF |
END IF |
191 |
end DO loop_ik |
END IF |
192 |
|
|
193 |
print * |
call principal_cshift(is2, rlonm025, xprimm025) |
194 |
|
call principal_cshift(is2, rlonv, xprimv) |
195 |
DO i = 1, iim |
call principal_cshift(is2, rlonu, xprimu) |
196 |
xlon(i) = rlonv(i + 1) - rlonv(i) |
call principal_cshift(is2, rlonp025, xprimp025) |
197 |
END DO |
|
198 |
champmin = 1e12 |
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
199 |
champmax = -1e12 |
print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees" |
200 |
DO i = 1, iim |
print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees" |
|
champmin = MIN(champmin, xlon(i)) |
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champmax = MAX(champmax, xlon(i)) |
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END DO |
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champmin = champmin * 180. / pi_d |
|
|
champmax = champmax * 180. / pi_d |
|
201 |
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|
202 |
DO i = 1, iim + 1 |
DO i = 1, iim + 1 |
203 |
IF (rlonp025(i) < rlonv(i)) THEN |
IF (rlonp025(i) < rlonv(i)) THEN |
204 |
print *, ' Attention ! rlonp025 < rlonv', i |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
205 |
|
print *, "< rlonv(", i, ") = ", rlonv(i) |
206 |
STOP 1 |
STOP 1 |
207 |
END IF |
END IF |
208 |
|
|
209 |
IF (rlonv(i) < rlonm025(i)) THEN |
IF (rlonv(i) < rlonm025(i)) THEN |
210 |
print *, ' Attention ! rlonm025 > rlonv', i |
print *, 'rlonv(', i, ') = ', rlonv(i) |
211 |
|
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
212 |
STOP 1 |
STOP 1 |
213 |
END IF |
END IF |
214 |
|
|
215 |
IF (rlonp025(i) > rlonu(i)) THEN |
IF (rlonp025(i) > rlonu(i)) THEN |
216 |
print *, ' Attention ! rlonp025 > rlonu', i |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
217 |
|
print *, "> rlonu(", i, ") = ", rlonu(i) |
218 |
STOP 1 |
STOP 1 |
219 |
END IF |
END IF |
220 |
END DO |
END DO |
221 |
|
|
|
print *, ' Longitudes ' |
|
|
print 3, champmin, champmax |
|
|
|
|
|
3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
|
|
' d environ ', f0.2, ' degres ', /, & |
|
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' alors que la maille en dehors de la zone du zoom est ', & |
|
|
"d'environ", f0.2, ' degres ') |
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|
|
|
222 |
END SUBROUTINE fxhyp |
END SUBROUTINE fxhyp |
223 |
|
|
224 |
end module fxhyp_m |
end module fxhyp_m |