| Directory: | ./ |
|---|---|
| File: | dyn3d_common/fyhyp_m.f90 |
| Date: | 2022-01-11 19:19:34 |
| Exec | Total | Coverage | |
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| Lines: | 130 | 149 | 87.2% |
| Branches: | 103 | 118 | 87.3% |
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| 1 | module fyhyp_m | ||
| 2 | |||
| 3 | IMPLICIT NONE | ||
| 4 | |||
| 5 | contains | ||
| 6 | |||
| 7 | 1 | SUBROUTINE fyhyp(rlatu, yyprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) | |
| 8 | |||
| 9 | ! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 | ||
| 10 | |||
| 11 | ! Author: P. Le Van, from analysis by R. Sadourny | ||
| 12 | |||
| 13 | ! Calcule les latitudes et dérivées dans la grille du GCM pour une | ||
| 14 | ! fonction f(y) à dérivée tangente hyperbolique. | ||
| 15 | |||
| 16 | ! Il vaut mieux avoir : grossismy * dzoom < pi / 2 | ||
| 17 | |||
| 18 | use coefpoly_m, only: coefpoly | ||
| 19 | use nrtype, only: k8 | ||
| 20 | use serre_mod, only: clat, grossismy, dzoomy, tauy | ||
| 21 | |||
| 22 | include "dimensions.h" | ||
| 23 | ! for jjm | ||
| 24 | |||
| 25 | REAL, intent(out):: rlatu(jjm + 1), yyprimu(jjm + 1) | ||
| 26 | REAL, intent(out):: rlatv(jjm) | ||
| 27 | real, intent(out):: rlatu2(jjm), yprimu2(jjm), rlatu1(jjm), yprimu1(jjm) | ||
| 28 | |||
| 29 | ! Local: | ||
| 30 | |||
| 31 | REAL(K8) champmin, champmax | ||
| 32 | INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax | ||
| 33 | REAL dzoom ! distance totale de la zone du zoom (en radians) | ||
| 34 | REAL(K8) ylat(jjm + 1), yprim(jjm + 1) | ||
| 35 | REAL(K8) yuv | ||
| 36 | REAL(K8), save:: yt(0:nmax2) | ||
| 37 | REAL(K8) fhyp(0:nmax2), beta | ||
| 38 | REAL(K8), save:: ytprim(0:nmax2) | ||
| 39 | REAL(K8) fxm(0:nmax2) | ||
| 40 | REAL(K8), save:: yf(0:nmax2) | ||
| 41 | REAL(K8) yypr(0:nmax2) | ||
| 42 | REAL(K8) yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) | ||
| 43 | REAL(K8) pi, pis2, epsilon, y0, pisjm | ||
| 44 | REAL(K8) yo1, yi, ylon2, ymoy, yprimin | ||
| 45 | REAL(K8) yfi, yf1, ffdy | ||
| 46 | REAL(K8) ypn, deply, y00 | ||
| 47 | SAVE y00, deply | ||
| 48 | |||
| 49 | INTEGER i, j, it, ik, iter, jlat | ||
| 50 | INTEGER jpn, jjpn | ||
| 51 | SAVE jpn | ||
| 52 | REAL(K8) a0, a1, a2, a3, yi2, heavyy0, heavyy0m | ||
| 53 | REAL(K8) fa(0:nmax2), fb(0:nmax2) | ||
| 54 | REAL y0min, y0max | ||
| 55 | |||
| 56 | REAL(K8) heavyside | ||
| 57 | |||
| 58 | !------------------------------------------------------------------- | ||
| 59 | |||
| 60 | 1 | print *, "Call sequence information: fyhyp" | |
| 61 | |||
| 62 | pi = 2.*asin(1.) | ||
| 63 | pis2 = pi/2. | ||
| 64 | pisjm = pi/real(jjm) | ||
| 65 | epsilon = 1e-3 | ||
| 66 | 1 | y0 = clat*pi/180. | |
| 67 | 1 | dzoom = dzoomy*pi | |
| 68 | 1 | print *, 'yzoom(rad), grossismy, tauy, dzoom (rad):' | |
| 69 | 1 | print *, y0, grossismy, tauy, dzoom | |
| 70 | |||
| 71 |
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60002 | DO i = 0, nmax2 |
| 72 | 60002 | yt(i) = -pis2 + real(i)*pi/nmax2 | |
| 73 | END DO | ||
| 74 | |||
| 75 | 1 | heavyy0m = heavyside(-y0) | |
| 76 | 1 | heavyy0 = heavyside(y0) | |
| 77 | 1 | y0min = 2.*y0*heavyy0m - pis2 | |
| 78 | 1 | y0max = 2.*y0*heavyy0 + pis2 | |
| 79 | |||
| 80 |
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60002 | fa = 999.999 |
| 81 |
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60002 | fb = 999.999 |
| 82 | |||
| 83 |
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60002 | DO i = 0, nmax2 |
| 84 |
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60001 | IF (yt(i)<y0) THEN |
| 85 | 30000 | fa(i) = tauy*(yt(i)-y0 + dzoom/2.) | |
| 86 | 30000 | fb(i) = (yt(i)-2.*y0*heavyy0m + pis2)*(y0-yt(i)) | |
| 87 |
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30001 | ELSE IF (yt(i)>y0) THEN |
| 88 | 30000 | fa(i) = tauy*(y0-yt(i) + dzoom/2.) | |
| 89 | 30000 | fb(i) = (2.*y0*heavyy0-yt(i) + pis2)*(yt(i)-y0) | |
| 90 | END IF | ||
| 91 | |||
| 92 |
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60001 | IF (200.*fb(i)<-fa(i)) THEN |
| 93 | 488 | fhyp(i) = -1. | |
| 94 |
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59513 | ELSE IF (200.*fb(i)<fa(i)) THEN |
| 95 | 84 | fhyp(i) = 1. | |
| 96 | ELSE | ||
| 97 | 59429 | fhyp(i) = tanh(fa(i)/fb(i)) | |
| 98 | END IF | ||
| 99 | |||
| 100 |
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60001 | IF (yt(i)==y0) fhyp(i) = 1. |
| 101 |
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60002 | IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
| 102 | END DO | ||
| 103 | |||
| 104 | ! Calcul de beta | ||
| 105 | |||
| 106 | ffdy = 0. | ||
| 107 | |||
| 108 |
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60001 | DO i = 1, nmax2 |
| 109 | 60000 | ymoy = 0.5*(yt(i-1) + yt(i)) | |
| 110 |
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60000 | IF (ymoy<y0) THEN |
| 111 | 30000 | fa(i) = tauy*(ymoy-y0 + dzoom/2.) | |
| 112 | 30000 | fb(i) = (ymoy-2.*y0*heavyy0m + pis2)*(y0-ymoy) | |
| 113 |
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30000 | ELSE IF (ymoy>y0) THEN |
| 114 | 30000 | fa(i) = tauy*(y0-ymoy + dzoom/2.) | |
| 115 | 30000 | fb(i) = (2.*y0*heavyy0-ymoy + pis2)*(ymoy-y0) | |
| 116 | END IF | ||
| 117 | |||
| 118 |
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60000 | IF (200.*fb(i)<-fa(i)) THEN |
| 119 | 486 | fxm(i) = -1. | |
| 120 |
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59514 | ELSE IF (200.*fb(i)<fa(i)) THEN |
| 121 | 86 | fxm(i) = 1. | |
| 122 | ELSE | ||
| 123 | 59428 | fxm(i) = tanh(fa(i)/fb(i)) | |
| 124 | END IF | ||
| 125 |
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60000 | IF (ymoy==y0) fxm(i) = 1. |
| 126 |
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60000 | IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
| 127 | 60001 | ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) | |
| 128 | END DO | ||
| 129 | |||
| 130 | 1 | beta = (grossismy*ffdy-pi)/(ffdy-pi) | |
| 131 | |||
| 132 |
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1 | IF (2. * beta - grossismy <= 0.) THEN |
| 133 | print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & | ||
| 134 | // 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & | ||
| 135 | // 'dzoomy et relancer.' | ||
| 136 | ✗ | STOP 1 | |
| 137 | END IF | ||
| 138 | |||
| 139 | ! calcul de Ytprim | ||
| 140 | |||
| 141 |
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60002 | DO i = 0, nmax2 |
| 142 | 60002 | ytprim(i) = beta + (grossismy-beta)*fhyp(i) | |
| 143 | END DO | ||
| 144 | |||
| 145 | ! Calcul de Yf | ||
| 146 | |||
| 147 | 1 | yf(0) = -pis2 | |
| 148 |
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60001 | DO i = 1, nmax2 |
| 149 | 60001 | yypr(i) = beta + (grossismy-beta)*fxm(i) | |
| 150 | END DO | ||
| 151 | |||
| 152 |
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60001 | DO i = 1, nmax2 |
| 153 | 60001 | yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) | |
| 154 | END DO | ||
| 155 | |||
| 156 | ! yuv = 0. si calcul des latitudes aux pts. U | ||
| 157 | ! yuv = 0.5 si calcul des latitudes aux pts. V | ||
| 158 | |||
| 159 |
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5 | loop_ik: DO ik = 1, 4 |
| 160 |
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4 | IF (ik==1) THEN |
| 161 | yuv = 0. | ||
| 162 | jlat = jjm + 1 | ||
| 163 |
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3 | ELSE IF (ik==2) THEN |
| 164 | yuv = 0.5 | ||
| 165 | jlat = jjm | ||
| 166 |
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2 | ELSE IF (ik==3) THEN |
| 167 | yuv = 0.25 | ||
| 168 | jlat = jjm | ||
| 169 | ELSE IF (ik==4) THEN | ||
| 170 | yuv = 0.75 | ||
| 171 | jlat = jjm | ||
| 172 | END IF | ||
| 173 | |||
| 174 | yo1 = 0. | ||
| 175 |
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133 | DO j = 1, jlat |
| 176 | yo1 = 0. | ||
| 177 | 129 | ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) | |
| 178 | yfi = ylon2 | ||
| 179 | |||
| 180 | it = nmax2 | ||
| 181 |
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3870179 | DO while (it >= 1 .and. yfi < yf(it)) |
| 182 | 3870178 | it = it - 1 | |
| 183 | END DO | ||
| 184 | |||
| 185 | 129 | yi = yt(it) | |
| 186 |
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129 | IF (it==nmax2) THEN |
| 187 | it = nmax2 - 1 | ||
| 188 | 1 | yf(it + 1) = pis2 | |
| 189 | END IF | ||
| 190 | |||
| 191 | ! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) | ||
| 192 | ! et Y'(yi) | ||
| 193 | |||
| 194 | CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & | ||
| 195 | 129 | yt(it), yt(it + 1), a0, a1, a2, a3) | |
| 196 | |||
| 197 | 129 | yf1 = yf(it) | |
| 198 | 129 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi | |
| 199 | |||
| 200 | iter = 1 | ||
| 201 | 128 | DO | |
| 202 | 257 | yi = yi - (yf1-yfi)/yprimin | |
| 203 |
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257 | IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
| 204 | yo1 = yi | ||
| 205 | 128 | yi2 = yi*yi | |
| 206 | 128 | yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi | |
| 207 | 128 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 | |
| 208 | END DO | ||
| 209 |
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129 | if (abs(yi-yo1) > epsilon) then |
| 210 | ✗ | print *, 'Pas de solution.', j, ylon2 | |
| 211 | ✗ | STOP 1 | |
| 212 | end if | ||
| 213 | |||
| 214 | 129 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi | |
| 215 | 129 | yprim(j) = pi/(jjm*yprimin) | |
| 216 | 262 | yvrai(j) = yi | |
| 217 | END DO | ||
| 218 | |||
| 219 |
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129 | DO j = 1, jlat - 1 |
| 220 |
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129 | IF (yvrai(j + 1)<yvrai(j)) THEN |
| 221 | ✗ | print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & | |
| 222 | ✗ | j, ')' | |
| 223 | ✗ | STOP 1 | |
| 224 | END IF | ||
| 225 | END DO | ||
| 226 | |||
| 227 | 4 | print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' | |
| 228 | |||
| 229 |
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4 | IF (ik==1) THEN |
| 230 | ypn = pis2 | ||
| 231 |
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1 | DO j = jjm + 1, 1, -1 |
| 232 |
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1 | IF (yvrai(j)<=ypn) exit |
| 233 | END DO | ||
| 234 | |||
| 235 | 1 | jpn = j | |
| 236 | 1 | y00 = yvrai(jpn) | |
| 237 | 1 | deply = pis2 - y00 | |
| 238 | END IF | ||
| 239 | |||
| 240 |
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4 | DO j = 1, jjm + 1 - jpn |
| 241 | ✗ | ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) | |
| 242 | 4 | yprimm(j) = yprim(jpn + j-1) | |
| 243 | END DO | ||
| 244 | |||
| 245 | jjpn = jpn | ||
| 246 |
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4 | IF (jlat==jjm) jjpn = jpn - 1 |
| 247 | |||
| 248 |
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133 | DO j = 1, jjpn |
| 249 | 129 | ylatt(j + jjm + 1-jpn) = yvrai(j) + deply | |
| 250 | 133 | yprimm(j + jjm + 1-jpn) = yprim(j) | |
| 251 | END DO | ||
| 252 | |||
| 253 | ! Fin de la reorganisation | ||
| 254 | |||
| 255 |
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133 | DO j = 1, jlat |
| 256 | 129 | ylat(j) = ylatt(jlat + 1-j) | |
| 257 | 133 | yprim(j) = yprimm(jlat + 1-j) | |
| 258 | END DO | ||
| 259 | |||
| 260 |
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133 | DO j = 1, jlat |
| 261 | 133 | yvrai(j) = ylat(j)*180./pi | |
| 262 | END DO | ||
| 263 | |||
| 264 |
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5 | IF (ik==1) THEN |
| 265 |
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34 | DO j = 1, jjm + 1 |
| 266 | 33 | rlatu(j) = ylat(j) | |
| 267 | 34 | yyprimu(j) = yprim(j) | |
| 268 | END DO | ||
| 269 |
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3 | ELSE IF (ik==2) THEN |
| 270 |
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33 | DO j = 1, jjm |
| 271 | 33 | rlatv(j) = ylat(j) | |
| 272 | END DO | ||
| 273 |
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2 | ELSE IF (ik==3) THEN |
| 274 |
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33 | DO j = 1, jjm |
| 275 | 32 | rlatu2(j) = ylat(j) | |
| 276 | 33 | yprimu2(j) = yprim(j) | |
| 277 | END DO | ||
| 278 | ELSE IF (ik==4) THEN | ||
| 279 |
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33 | DO j = 1, jjm |
| 280 | 32 | rlatu1(j) = ylat(j) | |
| 281 | 33 | yprimu1(j) = yprim(j) | |
| 282 | END DO | ||
| 283 | END IF | ||
| 284 | END DO loop_ik | ||
| 285 | |||
| 286 |
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33 | DO j = 1, jjm |
| 287 | 33 | ylat(j) = rlatu(j) - rlatu(j + 1) | |
| 288 | END DO | ||
| 289 | 1 | champmin = 1e12 | |
| 290 | 1 | champmax = -1e12 | |
| 291 |
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33 | DO j = 1, jjm |
| 292 | 32 | champmin = min(champmin, ylat(j)) | |
| 293 | 33 | champmax = max(champmax, ylat(j)) | |
| 294 | END DO | ||
| 295 | 1 | champmin = champmin*180./pi | |
| 296 | 1 | champmax = champmax*180./pi | |
| 297 | |||
| 298 |
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33 | DO j = 1, jjm |
| 299 |
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32 | IF (rlatu1(j) <= rlatu2(j)) THEN |
| 300 | ✗ | print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j | |
| 301 | ✗ | STOP 13 | |
| 302 | ENDIF | ||
| 303 | |||
| 304 |
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32 | IF (rlatu2(j) <= rlatu(j+1)) THEN |
| 305 | ✗ | print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j | |
| 306 | ✗ | STOP 14 | |
| 307 | ENDIF | ||
| 308 | |||
| 309 |
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32 | IF (rlatu(j) <= rlatu1(j)) THEN |
| 310 | ✗ | print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j | |
| 311 | ✗ | STOP 15 | |
| 312 | ENDIF | ||
| 313 | |||
| 314 |
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32 | IF (rlatv(j) <= rlatu2(j)) THEN |
| 315 | ✗ | print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j | |
| 316 | ✗ | STOP 16 | |
| 317 | ENDIF | ||
| 318 | |||
| 319 |
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32 | IF (rlatv(j) >= rlatu1(j)) THEN |
| 320 | ✗ | print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j | |
| 321 | ✗ | STOP 17 | |
| 322 | ENDIF | ||
| 323 | |||
| 324 |
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33 | IF (rlatv(j) >= rlatu(j)) THEN |
| 325 | ✗ | print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j | |
| 326 | ✗ | STOP 18 | |
| 327 | ENDIF | ||
| 328 | ENDDO | ||
| 329 | |||
| 330 | 1 | print *, 'Latitudes' | |
| 331 | 1 | print 3, champmin, champmax | |
| 332 | |||
| 333 | 3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & | ||
| 334 | ' d environ ', f0.2, ' degres ', /, & | ||
| 335 | ' alors que la maille en dehors de la zone du zoom est ', & | ||
| 336 | "d'environ ", f0.2, ' degres ') | ||
| 337 | |||
| 338 | 1 | END SUBROUTINE fyhyp | |
| 339 | |||
| 340 | end module fyhyp_m | ||
| 341 |