18 |
! 1., taux=0., clon=0.) est à - 180 degrés. |
! 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 fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax |
use dynetat0_m, only: clon, grossismx, dzoomx, taux |
22 |
use nr_util, only: pi_d, twopi_d, arth |
use invert_zoom_x_m, only: invert_zoom_x, nmax |
23 |
use serre, only: clon, grossismx, dzoomx, taux |
use nr_util, only: pi, pi_d, twopi, twopi_d, arth |
24 |
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use principal_cshift_m, only: principal_cshift |
25 |
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use tanh_cautious_m, only: tanh_cautious |
26 |
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27 |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1) |
28 |
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1) |
29 |
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30 |
! Local: |
! Local: |
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31 |
real rlonm025(iim + 1), rlonp025(iim + 1) |
real rlonm025(iim + 1), rlonp025(iim + 1) |
32 |
REAL dzoom |
REAL dzoom, step |
33 |
DOUBLE PRECISION xlon(iim) |
real d_rlonv(iim) |
34 |
DOUBLE PRECISION xtild(0:2 * nmax) |
DOUBLE PRECISION xtild(0:2 * nmax) |
35 |
DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax) |
DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax) |
36 |
DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax) |
DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax) |
37 |
DOUBLE PRECISION xzoom, fa, fb |
INTEGER i, is2 |
38 |
INTEGER i |
DOUBLE PRECISION, dimension(nmax + 1:2 * nmax):: xmoy, fxm |
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DOUBLE PRECISION xmoy, fxm |
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DOUBLE PRECISION decalx |
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39 |
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40 |
!---------------------------------------------------------------------- |
!---------------------------------------------------------------------- |
41 |
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42 |
print *, "Call sequence information: fxhyp" |
print *, "Call sequence information: fxhyp" |
43 |
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44 |
xzoom = clon * pi_d / 180d0 |
test_grossismx: if (grossismx == 1.) then |
45 |
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step = twopi / iim |
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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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dzoom = dzoomx * twopi_d |
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xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1) |
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46 |
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47 |
! Compute fhyp: |
xprimm025(:iim) = step |
48 |
DO i = nmax, 2 * nmax |
xprimp025(:iim) = step |
49 |
fa = taux * (dzoom / 2. - xtild(i)) |
xprimv(:iim) = step |
50 |
fb = xtild(i) * (pi_d - xtild(i)) |
xprimu(:iim) = step |
51 |
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52 |
IF (200. * fb < - fa) THEN |
rlonv(:iim) = arth(- pi + clon, step, iim) |
53 |
fhyp(i) = - 1. |
rlonm025(:iim) = rlonv(:iim) - 0.25 * step |
54 |
ELSE IF (200. * fb < fa) THEN |
rlonp025(:iim) = rlonv(:iim) + 0.25 * step |
55 |
fhyp(i) = 1. |
rlonu(:iim) = rlonv(:iim) + 0.5 * step |
56 |
ELSE |
else test_grossismx |
57 |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
dzoom = dzoomx * twopi_d |
58 |
IF (200. * fb + fa < 1e-10) THEN |
xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1) |
59 |
fhyp(i) = - 1. |
forall (i = nmax + 1:2 * nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i)) |
60 |
ELSE IF (200. * fb - fa < 1e-10) THEN |
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61 |
fhyp(i) = 1. |
! Compute fhyp: |
62 |
END IF |
fhyp(nmax + 1:2 * nmax - 1) = tanh_cautious(taux * (dzoom / 2. & |
63 |
ELSE |
- xtild(nmax + 1:2 * nmax - 1)), xtild(nmax + 1:2 * nmax - 1) & |
64 |
fhyp(i) = TANH(fa / fb) |
* (pi_d - xtild(nmax + 1:2 * nmax - 1))) |
65 |
END IF |
fhyp(nmax) = 1d0 |
66 |
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fhyp(2 * nmax) = -1d0 |
67 |
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68 |
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fxm = tanh_cautious(taux * (dzoom / 2. - xmoy), xmoy * (pi_d - xmoy)) |
69 |
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70 |
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! Calcul de beta |
71 |
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72 |
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ffdx = 0. |
73 |
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74 |
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DO i = nmax + 1, 2 * nmax |
75 |
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ffdx = ffdx + fxm(i) * (xtild(i) - xtild(i-1)) |
76 |
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END DO |
77 |
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78 |
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print *, "ffdx = ", ffdx |
79 |
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beta = (pi_d - grossismx * ffdx) / (pi_d - ffdx) |
80 |
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print *, "beta = ", beta |
81 |
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82 |
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IF (2. * beta - grossismx <= 0.) THEN |
83 |
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print *, 'Bad choice of grossismx, taux, dzoomx.' |
84 |
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print *, 'Decrease dzoomx or grossismx.' |
85 |
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STOP 1 |
86 |
END IF |
END IF |
87 |
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88 |
IF (xtild(i) == 0.) fhyp(i) = 1. |
! calcul de Xprimt |
89 |
IF (xtild(i) == pi_d) fhyp(i) = -1. |
Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp |
90 |
END DO |
xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1) |
91 |
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92 |
! Calcul de beta |
! Calcul de Xf |
93 |
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94 |
ffdx = 0. |
xxpr(nmax + 1:2 * nmax) = beta + (grossismx - beta) * fxm |
95 |
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xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1) |
96 |
DO i = nmax + 1, 2 * nmax |
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97 |
xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
Xf(0) = - pi_d |
98 |
fa = taux * (dzoom / 2. - xmoy) |
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99 |
fb = xmoy * (pi_d - xmoy) |
DO i=1, 2 * nmax - 1 |
100 |
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Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
101 |
IF (200. * fb < - fa) THEN |
END DO |
102 |
fxm = - 1. |
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103 |
ELSE IF (200. * fb < fa) THEN |
Xf(2 * nmax) = pi_d |
104 |
fxm = 1. |
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105 |
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call invert_zoom_x(xf, xtild, Xprimt, rlonm025(:iim), xprimm025(:iim), & |
106 |
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xuv = - 0.25d0) |
107 |
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call invert_zoom_x(xf, xtild, Xprimt, rlonv(:iim), xprimv(:iim), & |
108 |
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xuv = 0d0) |
109 |
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call invert_zoom_x(xf, xtild, Xprimt, rlonu(:iim), xprimu(:iim), & |
110 |
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xuv = 0.5d0) |
111 |
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call invert_zoom_x(xf, xtild, Xprimt, rlonp025(:iim), xprimp025(:iim), & |
112 |
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xuv = 0.25d0) |
113 |
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end if test_grossismx |
114 |
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115 |
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is2 = 0 |
116 |
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117 |
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IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
118 |
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.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
119 |
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IF (clon <= 0.) THEN |
120 |
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is2 = 1 |
121 |
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122 |
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do while (rlonm025(is2) < - pi .and. is2 < iim) |
123 |
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is2 = is2 + 1 |
124 |
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end do |
125 |
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126 |
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if (rlonm025(is2) < - pi) then |
127 |
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print *, 'Rlonm025 plus petit que - pi !' |
128 |
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STOP 1 |
129 |
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end if |
130 |
ELSE |
ELSE |
131 |
IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN |
is2 = iim |
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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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132 |
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133 |
IF (xmoy == 0.) fxm = 1. |
do while (rlonm025(is2) > pi .and. is2 > 1) |
134 |
IF (xmoy == pi_d) fxm = -1. |
is2 = is2 - 1 |
135 |
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end do |
136 |
ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
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137 |
END DO |
if (rlonm025(is2) > pi) then |
138 |
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print *, 'Rlonm025 plus grand que pi !' |
139 |
print *, "ffdx = ", ffdx |
STOP 1 |
140 |
beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d) |
end if |
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print *, "beta = ", beta |
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IF (2. * beta - grossismx <= 0.) THEN |
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print *, 'Attention ! La valeur beta calculée dans fxhyp est mauvaise.' |
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print *, 'Modifier les valeurs de grossismx, taux ou dzoomx et relancer.' |
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STOP 1 |
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END IF |
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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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! 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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141 |
END IF |
END IF |
142 |
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END IF |
143 |
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144 |
IF (xmoy == 0.) fxm = 1. |
call principal_cshift(is2, rlonm025, xprimm025) |
145 |
IF (xmoy == pi_d) fxm = -1. |
call principal_cshift(is2, rlonv, xprimv) |
146 |
xxpr(i) = beta + (grossismx - beta) * fxm |
call principal_cshift(is2, rlonu, xprimu) |
147 |
END DO |
call principal_cshift(is2, rlonp025, xprimp025) |
148 |
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149 |
xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1) |
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
150 |
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print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees" |
151 |
Xf(0) = - pi_d |
print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees" |
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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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Xf(2 * nmax) = pi_d |
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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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print * |
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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, "°" |
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print *, "Maximum longitude step:", MAXval(xlon) * 180. / pi_d, "°" |
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152 |
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153 |
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! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
154 |
DO i = 1, iim + 1 |
DO i = 1, iim + 1 |
155 |
IF (rlonp025(i) < rlonv(i)) THEN |
IF (rlonp025(i) < rlonv(i)) THEN |
156 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |