| 1 | ;+ |
|---|
| 2 | ; |
|---|
| 3 | ; @file_comments |
|---|
| 4 | ; averages a 3- or 4-d time series field over a selected |
|---|
| 5 | ; geographical area or along the time axis. For one or more |
|---|
| 6 | ; selected axes (x, y, z, t) |
|---|
| 7 | ; |
|---|
| 8 | ; @categories |
|---|
| 9 | ; |
|---|
| 10 | ; @param TAB {in}{required} |
|---|
| 11 | ; 3d or 4d field |
|---|
| 12 | ; |
|---|
| 13 | ; @param DIREC {in}{required} |
|---|
| 14 | ; 'x' 'y' 'z' 't' 'xy' 'xz' 'yz' 'xyz' 'xt' 'yt' 'zt' |
|---|
| 15 | ; 'xyt' 'xzt' 'yzt' or 'xyzt' |
|---|
| 16 | ; |
|---|
| 17 | ; @keyword BOXZOOM |
|---|
| 18 | ; [xmin,xmax,ymin,ymax (,(zmin,)zmax)] to more details, see <pro>domdef</pro> |
|---|
| 19 | ; boxzoom can have 5 forms : |
|---|
| 20 | ; [vert2], [vert1, vert2],[lon1, lon2, lat1, lat2], |
|---|
| 21 | ; [lon1, lon2, lat1, lat2, vert2],[lon1, lon2, lat1, lat2, vert1,vert2] |
|---|
| 22 | ; |
|---|
| 23 | ; @keyword KEEPBOTTOM {default=0}{type=scalar: 0 or 1} |
|---|
| 24 | ; used only with partial steps (key_partialstep /= 0). In partial |
|---|
| 25 | ; steps, bottom points are not located at the same depth => they |
|---|
| 26 | ; should not be averaged together along x and/or y direction if there |
|---|
| 27 | ; is no average along z. In this case bottom ponts are set to |
|---|
| 28 | ;!values.f_nan before doing any call to total. |
|---|
| 29 | ; |
|---|
| 30 | ; @keyword NAN |
|---|
| 31 | ; not a number, we activate it if we want to average without considerate some |
|---|
| 32 | ; masked values of TAB. |
|---|
| 33 | ; If masked values of TAB are values consecrated by IDL(!values.f_nan), we |
|---|
| 34 | ; just have to put NAN. |
|---|
| 35 | ; If masked values of TAB are valued a (a must be different of 1, |
|---|
| 36 | ; corresponding to nan = !values.f_nan and of 0, which desactivate nan). |
|---|
| 37 | ; We have to put NAN=a. |
|---|
| 38 | ; Comment: In output, result points which are NAN will be valued a or |
|---|
| 39 | ; !values.f_nan. |
|---|
| 40 | ; |
|---|
| 41 | ; @keyword NODOMDEF |
|---|
| 42 | ; We activate it if we do not want to pass in <pro>domdef</pro> even if the |
|---|
| 43 | ; keyword boxzoom is present (like when <pro>grossemoyenne</pro> is called via |
|---|
| 44 | ; <pro>checkfield</pro>) |
|---|
| 45 | ; |
|---|
| 46 | ; @keyword INTEGRATION |
|---|
| 47 | ; To make an integral rather than an average |
|---|
| 48 | ; |
|---|
| 49 | ; @keyword MASK2D |
|---|
| 50 | ; an optional 2d mask array (containing only 0 and 1) that can be use |
|---|
| 51 | ; to modified each levels of the default mask. |
|---|
| 52 | ; |
|---|
| 53 | ; @keyword SPATIALFIRST |
|---|
| 54 | ; when performing at the same time |
|---|
| 55 | ; spatial and temporal mean, grossemoyenne is assuming |
|---|
| 56 | ; that the mask is not changing with the time. In |
|---|
| 57 | ; consequence, grossemoyenne performs temporal mean |
|---|
| 58 | ; first and then call moyenne. Activate /SPATIALFIRST if |
|---|
| 59 | ; you want to perform the spatial mean before the |
|---|
| 60 | ; temporal mean. Note that if NAN is activated, then |
|---|
| 61 | ; SPATIALFIRST is activated automatically. |
|---|
| 62 | ; |
|---|
| 63 | ; @keyword TEMPORALFIRST |
|---|
| 64 | ; to force to perform first temporal |
|---|
| 65 | ; mean even if NAN is activated (see SPATIALFIRST explanations...) |
|---|
| 66 | ; |
|---|
| 67 | ; @keyword SSH |
|---|
| 68 | ; array giving the sea level elenation (in meter) that must be added |
|---|
| 69 | ; to the thickness of the first level when computing vertical mean |
|---|
| 70 | ; |
|---|
| 71 | ; @keyword WDEPTH |
|---|
| 72 | ; to specify that the field is at W depth instead of T |
|---|
| 73 | ; depth (automatically activated if vargrid eq 'W') |
|---|
| 74 | ; |
|---|
| 75 | ; @returns |
|---|
| 76 | ; an array |
|---|
| 77 | ; |
|---|
| 78 | ; @uses |
|---|
| 79 | ; <pro>common</pro> |
|---|
| 80 | ; <pro>domdef</pro> |
|---|
| 81 | ; |
|---|
| 82 | ; @restrictions |
|---|
| 83 | ; Put values corresponding to land at 1.e20 |
|---|
| 84 | ; |
|---|
| 85 | ; @history |
|---|
| 86 | ; Jerome Vialard (jv\@lodyc.jussieu.fr) |
|---|
| 87 | ; 2/7/98 |
|---|
| 88 | ; Sebastien Masson (smasson\@lodyc.jussieu.fr) |
|---|
| 89 | ; adaptation array containing a temporal dimension |
|---|
| 90 | ; 14/8/98 |
|---|
| 91 | ; 15/1/98 |
|---|
| 92 | ; 12/3/99 adaptation for NAN and utilization of TEMPORARY |
|---|
| 93 | ; |
|---|
| 94 | ; @version |
|---|
| 95 | ; $Id$ |
|---|
| 96 | ; |
|---|
| 97 | ;- |
|---|
| 98 | FUNCTION grossemoyenne, tab, direc, BOXZOOM=boxzoom, INTEGRATION=integration, KEEPBOTTOM = keepbottom $ |
|---|
| 99 | , NAN=nan, NODOMDEF=nodomdef, WDEPTH=wdepth, SSH=ssh, MASK2D=mask2d $ |
|---|
| 100 | , SPATIALFIRST=spatialfirst, TEMPORALFIRST=temporalfirst $ |
|---|
| 101 | , _EXTRA=ex |
|---|
| 102 | ; |
|---|
| 103 | compile_opt idl2, strictarrsubs |
|---|
| 104 | ; |
|---|
| 105 | @cm_4mesh |
|---|
| 106 | @cm_4data |
|---|
| 107 | @cm_4cal |
|---|
| 108 | IF NOT keyword_set(key_forgetold) THEN BEGIN |
|---|
| 109 | @updatenew |
|---|
| 110 | @updatekwd |
|---|
| 111 | ENDIF |
|---|
| 112 | ;--------------------------------------------------------- |
|---|
| 113 | tempsun = systime(1) ; For key_performance |
|---|
| 114 | ;------------------------------------------------------------ |
|---|
| 115 | ;I) preliminaries |
|---|
| 116 | ;------------------------------------------------------------ |
|---|
| 117 | dirt = 0 |
|---|
| 118 | dirx = 0 |
|---|
| 119 | diry = 0 |
|---|
| 120 | dirz = 0 |
|---|
| 121 | dim = 'aa' |
|---|
| 122 | ;------------------------------------------------------------ |
|---|
| 123 | ; I.1) Directions(s) we follow to integrate |
|---|
| 124 | ;------------------------------------------------------------ |
|---|
| 125 | if ( strpos(direc, 't') ge 0 ) then dirt = 1 |
|---|
| 126 | if ( strpos(direc, 'x') ge 0 ) then dirx = 1 |
|---|
| 127 | if ( strpos(direc, 'y') ge 0 ) then diry = 1 |
|---|
| 128 | if ( strpos(direc, 'z') ge 0 ) then dirz = 1 |
|---|
| 129 | IF keyword_set(NAN) AND (dirx EQ 1 OR diry EQ 1 OR dirz EQ 1) $ |
|---|
| 130 | THEN spatialfirst = 1 |
|---|
| 131 | IF keyword_set(temporalfirst) THEN spatialfirst = 0 |
|---|
| 132 | ;------------------------------------------------------------ |
|---|
| 133 | ; I.2) verification of the input array's size |
|---|
| 134 | ;------------------------------------------------------------ |
|---|
| 135 | taille = size(tab) |
|---|
| 136 | case 1 of |
|---|
| 137 | taille[0] eq 1 :return, report('array has only one dimension, not implemented!') |
|---|
| 138 | taille[0] eq 2 :return, report('array has only two dimensions, not implemented!') |
|---|
| 139 | taille[0] eq 3 :BEGIN |
|---|
| 140 | dim = '3d' |
|---|
| 141 | if dirx eq 0 and diry eq 0 and dirt eq 0 then return, tab |
|---|
| 142 | END |
|---|
| 143 | taille[0] eq 4 :BEGIN |
|---|
| 144 | dim = '4d' |
|---|
| 145 | if dirx eq 0 and diry eq 0 and dirz eq 0 and dirt eq 0 then return, tab |
|---|
| 146 | END |
|---|
| 147 | else : return, report('array must have 3 or 4 dimensions if there is not time dimension use moyenne') |
|---|
| 148 | endcase |
|---|
| 149 | ;------------------------------------------------------------ |
|---|
| 150 | ; I.3) Obtainment of scale's factors and of the mask on the subdomain concernedby the average. |
|---|
| 151 | ; Redefinition of the domain ajusted at boxzoom (at 6 elements) |
|---|
| 152 | ; This will allowed us to calculate only in the domain concerned by the average. |
|---|
| 153 | ; Domdef, followed by grid give us all arrays of the grid on the subdomain |
|---|
| 154 | ;------------------------------------------------------------ |
|---|
| 155 | if keyword_set(boxzoom) then BEGIN |
|---|
| 156 | Case 1 Of |
|---|
| 157 | N_Elements(Boxzoom) Eq 1: bte = [lon1, lon2, lat1, lat2, 0., boxzoom[0]] |
|---|
| 158 | N_Elements(Boxzoom) Eq 2: bte = [lon1, lon2, lat1, lat2, boxzoom[0], boxzoom[1]] |
|---|
| 159 | N_Elements(Boxzoom) Eq 4: bte = [Boxzoom, vert1, vert2] |
|---|
| 160 | N_Elements(Boxzoom) Eq 5: bte = [Boxzoom[0:3], 0, Boxzoom[4]] |
|---|
| 161 | N_Elements(Boxzoom) Eq 6: bte = Boxzoom |
|---|
| 162 | Else: return, report('Wrong Definition of Boxzoom') |
|---|
| 163 | endcase |
|---|
| 164 | if NOT keyword_set(nodomdef) then BEGIN |
|---|
| 165 | savedbox = 1b |
|---|
| 166 | saveboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 167 | domdef, bte, GRIDTYPE = vargrid, _extra = ex |
|---|
| 168 | ENDIF |
|---|
| 169 | ENDIF |
|---|
| 170 | ;--------------------------------------------------------------- |
|---|
| 171 | ; attribution of the mask and of longitude and latitude arrays... |
|---|
| 172 | ;--------------------------------------------------------------- |
|---|
| 173 | grille, mask, glam, gphi, gdep, nx, ny, nz, firstx, firsty, firstz, lastx, lasty, lastz, e1, e2, e3, WDEPTH = wdepth |
|---|
| 174 | IF keyword_set(mask2D) THEN BEGIN |
|---|
| 175 | IF taille[1] eq jpi and taille[2] eq jpj THEN $ |
|---|
| 176 | mmm = mask2D[firstx:lastx, firsty:lasty] ELSE mmm = mask2D |
|---|
| 177 | mask = mask * ( mmm[*] # replicate(1., nz) ) |
|---|
| 178 | ENDIF |
|---|
| 179 | ;--------------------------------------------------------------- |
|---|
| 180 | ; check the use of ssh keyword... |
|---|
| 181 | ;--------------------------------------------------------------- |
|---|
| 182 | IF keyword_set(ssh) AND dirz NE 0 AND firstz EQ 0 AND taille[0] GT 2 THEN BEGIN |
|---|
| 183 | IF vargrid NE 'T' THEN return, report('use of ssh keywords is coded only for T point case...') |
|---|
| 184 | szssh = size(ssh) |
|---|
| 185 | IF szssh[1] NE taille[1] OR szssh[2] NE taille[2] THEN $ |
|---|
| 186 | return, report('ssh and input arrays must have the same size') |
|---|
| 187 | IF taille[1] eq jpi and taille[2] eq jpj THEN $ |
|---|
| 188 | sshh = ssh[firstx:lastx, firsty:lasty,*] ELSE sshh = ssh |
|---|
| 189 | sshh = sshh * ( (mask[*,*,0])[*] # replicate(1., jpt) ) |
|---|
| 190 | ENDIF |
|---|
| 191 | ;------------------------------------------------------------ |
|---|
| 192 | ; I.4) if dirt equal 1, we make the temporal average and we send it in moyenne |
|---|
| 193 | ;------------------------------------------------------------ |
|---|
| 194 | if dirt EQ 1 AND NOT keyword_set(spatialfirst) then BEGIN |
|---|
| 195 | IF keyword_set(sshh) THEN return, report('ssh and temporal mean: case not coded...') |
|---|
| 196 | if dim EQ 3d then BEGIN |
|---|
| 197 | case 1 of |
|---|
| 198 | taille[1] eq jpi and taille[2] eq jpj and taille[3] eq jpt: $ |
|---|
| 199 | res = tab[firstx:firstx+nx-1, firsty:firsty+ny-1, *] |
|---|
| 200 | taille[1] EQ nx and taille[2] eq ny and taille[3] eq jpt:res = tab |
|---|
| 201 | else:BEGIN |
|---|
| 202 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 203 | return, report('Probleme d''adequation entre les tailles du domaine nx*ny*jpt '+strtrim(nx, 1)+'*'+strtrim(ny, 1)+'*'+strtrim(jpt, 1)+' et du tableau '+strtrim(taille[1], 1)+'*'+strtrim(taille[2], 1)+'*'+strtrim(taille[3], 1)) |
|---|
| 204 | END |
|---|
| 205 | ENDCASE |
|---|
| 206 | if keyword_set(integration) then begin |
|---|
| 207 | res = total(res, 3, nan = nan) |
|---|
| 208 | ENDIF ELSE BEGIN |
|---|
| 209 | if keyword_set(nan) then BEGIN |
|---|
| 210 | divi = finite(res) |
|---|
| 211 | divi = total(temporary(divi), 3) |
|---|
| 212 | notanum = where(divi EQ 0) |
|---|
| 213 | res = total(res, 3, nan = keyword_set(nan))/ (1 > divi) |
|---|
| 214 | if notanum[0] NE -1 then res[temporary(notanum)] = !values.f_nan |
|---|
| 215 | ENDIF ELSE res = total(res, 3)/(1.*taille[3]) |
|---|
| 216 | ENDELSE |
|---|
| 217 | ENDIF ELSE BEGIN |
|---|
| 218 | case 1 of |
|---|
| 219 | taille[1] eq jpi and taille[2] eq jpj and taille[3] eq jpk and taille[4] eq jpt: $ |
|---|
| 220 | res = tab[firstx:lastx, firsty:lasty, firstz:lastz, *] |
|---|
| 221 | taille[1] eq jpi and taille[2] eq jpj and taille[3] eq nz and taille[4] eq jpt: $ |
|---|
| 222 | res = tab[firstx:lastx, firsty:lasty, *, *] |
|---|
| 223 | taille[1] EQ nx and taille[2] eq ny and taille[3] eq nz and taille[4] eq jpt:res = tab |
|---|
| 224 | taille[1] EQ nx and taille[2] eq ny and taille[3] eq jpk and taille[4] eq jpt: $ |
|---|
| 225 | res = tab[*, *, firstz:lastz, *] |
|---|
| 226 | else:BEGIN |
|---|
| 227 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 228 | return, report('Probleme d''adequation entre les tailles du domaine nx*ny*nz*jpt ' $ |
|---|
| 229 | +strtrim(nx, 1)+'*'+strtrim(ny, 1)+'*'+strtrim(nz, 1)+'*' $ |
|---|
| 230 | +strtrim(jpt, 1)+' et du tableau '+strtrim(taille[1], 1)+'*' $ |
|---|
| 231 | +strtrim(taille[2], 1)+'*'+strtrim(taille[3], 1)+'*' $ |
|---|
| 232 | +strtrim(taille[4], 1)) |
|---|
| 233 | END |
|---|
| 234 | endcase |
|---|
| 235 | if keyword_set(integration) then begin |
|---|
| 236 | res = total(res, 4, nan = nan) |
|---|
| 237 | ENDIF ELSE BEGIN |
|---|
| 238 | if keyword_set(nan) then begin |
|---|
| 239 | divi = finite(res) |
|---|
| 240 | divi = total(temporary(divi), 4) |
|---|
| 241 | notanum = where(divi EQ 0) |
|---|
| 242 | res = total(res, 4, /nan)/(1 > divi) |
|---|
| 243 | if notanum[0] NE -1 then res[temporary(notanum)] = !values.f_nan |
|---|
| 244 | ENDIF ELSE res = total(res, 4)/(1.*taille[4]) |
|---|
| 245 | ENDELSE |
|---|
| 246 | ENDELSE |
|---|
| 247 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 248 | return, moyenne(temporary(res), direc, BOXZOOM = boxzoom, NAN = nan, INTEGRATION = integration, NODOMDEF = nodomdef, WDEPTH = wdepth, _extra = ex) |
|---|
| 249 | ENDIF ELSE res = tab |
|---|
| 250 | IF jpt EQ 1 THEN BEGIN |
|---|
| 251 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 252 | return, moyenne(reform(res, /over), direc, BOXZOOM = boxzoom, NAN = nan, INTEGRATION = integration, NODOMDEF = nodomdef, WDEPTH = wdepth, _extra = ex) |
|---|
| 253 | END |
|---|
| 254 | ;------------------------------------------------------------ |
|---|
| 255 | ;------------------------------------------------------------ |
|---|
| 256 | ; II) Case 2d arrays series (tab3d) |
|---|
| 257 | ;------------------------------------------------------------ |
|---|
| 258 | ;------------------------------------------------------------ |
|---|
| 259 | if (dim eq '3d') then begin |
|---|
| 260 | ;--------------------------------------------------------------- |
|---|
| 261 | ; II.1) verification of the coherence of the array's size to average |
|---|
| 262 | ; Verification of the coherence between the array's size and the domain defined by domdef |
|---|
| 263 | ; The input array must have either the total domain's size (jpi,jpj,jpt) or |
|---|
| 264 | ; this one of the reduced domain (nx,ny,jpt) |
|---|
| 265 | ;--------------------------------------------------------------- |
|---|
| 266 | case 1 of |
|---|
| 267 | taille[1] eq jpi and taille[2] eq jpj and taille[3] eq jpt: $ |
|---|
| 268 | res = tab[firstx:firstx+nx-1 $ |
|---|
| 269 | , firsty:firsty+ny-1, *] |
|---|
| 270 | taille[1] EQ nx and taille[2] eq ny and taille[3] eq jpt:res = tab |
|---|
| 271 | else:BEGIN |
|---|
| 272 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 273 | return, report('Probleme d''adequation entre les tailles du domaine nx*ny*jpt '+strtrim(nx, 1)+'*'+strtrim(ny, 1)+'*'+strtrim(jpt, 1)+' et du tableau '+strtrim(taille[1], 1)+'*'+strtrim(taille[2], 1)+'*'+strtrim(taille[3], 1)) |
|---|
| 274 | enD |
|---|
| 275 | endcase |
|---|
| 276 | if keyword_set(nan) NE 0 then BEGIN |
|---|
| 277 | if nan NE 1 then BEGIN ; If nan is not !values.f_nan |
|---|
| 278 | ; we put it at !values.f_nan |
|---|
| 279 | if abs(nan) LT 1e6 then notanumber = where(res EQ nan) $ |
|---|
| 280 | ELSE notanumber = where(abs(res) GT abs(nan)/10.) |
|---|
| 281 | if notanumber[0] NE -1 then res[temporary(notanumber)] = !values.f_nan |
|---|
| 282 | ENDIF |
|---|
| 283 | ENDIF |
|---|
| 284 | ;--------------------------------------------------------------- |
|---|
| 285 | ; Comment : WE HAVE TO BE CAREFUL ABOUT CASES WHERE THE DIMENSION TO |
|---|
| 286 | ; AVERAGE = 1, AND MAKE SURE THAT IT EXIST. THAT IS WHY WE USE |
|---|
| 287 | ; reform(...,nx,ny,...) WHICH CAN LOOK USELESS AT THE BEGINNING |
|---|
| 288 | ;--------------------------------------------------------------- |
|---|
| 289 | if nx EQ 1 OR ny EQ 1 then BEGIN |
|---|
| 290 | res = reform(res, nx, ny, jpt, /over) |
|---|
| 291 | e1 = reform(e1, nx, ny, /over) |
|---|
| 292 | e2 = reform(e2, nx, ny, /over) |
|---|
| 293 | endif |
|---|
| 294 | if nx EQ 1 OR ny EQ 1 OR nz EQ 1 THEN $ |
|---|
| 295 | mask = reform(mask, nx, ny, nz, /over) |
|---|
| 296 | ;--------------------------------------------------------------- |
|---|
| 297 | ; II.3) Different types of average |
|---|
| 298 | ;--------------------------------------------------------------- |
|---|
| 299 | if keyword_set(nan) NE 0 then msknan = finite(res) ELSE msknan = -1 |
|---|
| 300 | mask = mask[*, *, 0] |
|---|
| 301 | case 1 of |
|---|
| 302 | (dirx eq 1) and (diry eq 0) : begin |
|---|
| 303 | e = temporary(e1)*temporary(mask) |
|---|
| 304 | echelle = (temporary(e))[*]#replicate(1, jpt) |
|---|
| 305 | echelle = reform(echelle, nx, ny, jpt, /over) |
|---|
| 306 | if keyword_set(integration) then divi = 1 ELSE BEGIN |
|---|
| 307 | IF msknan[0] NE -1 THEN divi = total(echelle*msknan, 1) $ |
|---|
| 308 | ELSE divi = total(echelle, 1) |
|---|
| 309 | ENDELSE |
|---|
| 310 | res = total(temporary(res)*echelle, 1, nan = nan)/(divi > 1.) |
|---|
| 311 | if msknan[0] NE -1 then BEGIN |
|---|
| 312 | echelle = temporary(echelle) NE 0 |
|---|
| 313 | testnan = temporary(msknan)*echelle |
|---|
| 314 | testnan = total(temporary(testnan), 1) $ |
|---|
| 315 | +(total(temporary(echelle), 1) EQ 0) |
|---|
| 316 | endif |
|---|
| 317 | end |
|---|
| 318 | (dirx eq 0) and (diry eq 1) : begin |
|---|
| 319 | e = temporary(e2)*temporary(mask) |
|---|
| 320 | if nx EQ 1 OR ny EQ 1 then e = reform(e, nx, ny, /over) |
|---|
| 321 | echelle = (temporary(e))[*]#replicate(1, jpt) |
|---|
| 322 | echelle = reform(echelle, nx, ny, jpt, /over) |
|---|
| 323 | if keyword_set(integration) then divi = 1 ELSE BEGIN |
|---|
| 324 | IF msknan[0] NE -1 THEN divi = total(echelle*msknan, 2) $ |
|---|
| 325 | ELSE divi = total(echelle, 2) |
|---|
| 326 | ENDELSE |
|---|
| 327 | res = total(temporary(res)*echelle, 2, nan = nan)/(divi > 1.) |
|---|
| 328 | if msknan[0] NE -1 then begin |
|---|
| 329 | echelle = temporary(echelle) NE 0 |
|---|
| 330 | testnan = temporary(msknan)*echelle |
|---|
| 331 | testnan = total(temporary(testnan), 2) $ |
|---|
| 332 | +(total(temporary(echelle), 2) EQ 0) |
|---|
| 333 | endif |
|---|
| 334 | end |
|---|
| 335 | (dirx eq 1) and (diry eq 1) : begin |
|---|
| 336 | echelle = (temporary(e1)*temporary(e2)*temporary(mask))[*]#replicate(1, jpt) |
|---|
| 337 | echelle = reform(echelle, nx, ny, jpt, /over) |
|---|
| 338 | if keyword_set(integration) then divi = 1 ELSE BEGIN |
|---|
| 339 | IF msknan[0] NE -1 THEN divi = total(total(echelle*msknan, 1), 1) $ |
|---|
| 340 | ELSE divi = total(total(echelle, 1), 1) |
|---|
| 341 | ENDELSE |
|---|
| 342 | res = total(temporary(total(temporary(res)*echelle, 1, nan = nan)), 1, nan = nan)/(divi > 1.) |
|---|
| 343 | if msknan[0] NE -1 then begin |
|---|
| 344 | echelle = temporary(echelle) NE 0 |
|---|
| 345 | testnan = temporary(msknan)*echelle |
|---|
| 346 | testnan = total(total(temporary(testnan), 1), 1) $ |
|---|
| 347 | +(total(total(temporary(echelle), 1), 1) EQ 0) |
|---|
| 348 | endif |
|---|
| 349 | end |
|---|
| 350 | endcase |
|---|
| 351 | endif |
|---|
| 352 | ;------------------------------------------------------------ |
|---|
| 353 | ;------------------------------------------------------------ |
|---|
| 354 | ; III) Case 3d arrays series (tab4d) |
|---|
| 355 | ;------------------------------------------------------------ |
|---|
| 356 | if (dim eq '4d') then begin |
|---|
| 357 | ;--------------------------------------------------------------- |
|---|
| 358 | ; III.1) Verification of the coherence of the array to average size |
|---|
| 359 | ; Verification of the coherence between the array's size and the domain |
|---|
| 360 | ; defind by domdef |
|---|
| 361 | ; The input array must have either the total domain size (jpi,jpj,jpk,jpt) |
|---|
| 362 | ; or this one of the reduced domain (nx,ny,ny,jpt) |
|---|
| 363 | ;--------------------------------------------------------------- |
|---|
| 364 | case 1 of |
|---|
| 365 | taille[1] eq jpi and taille[2] eq jpj and taille[3] eq jpk and taille[4] eq jpt: $ |
|---|
| 366 | res = tab[firstx:lastx, firsty:lasty, firstz:lastz, *] |
|---|
| 367 | taille[1] eq jpi and taille[2] eq jpj and taille[3] eq nz and taille[4] eq jpt: $ |
|---|
| 368 | res = tab[firstx:lastx, firsty:lasty, *, *] |
|---|
| 369 | taille[1] EQ nx and taille[2] eq ny and taille[3] eq nz and taille[4] eq jpt:res = tab |
|---|
| 370 | taille[1] EQ nx and taille[2] eq ny and taille[3] eq jpk and taille[4] eq jpt: $ |
|---|
| 371 | res = tab[*, *, firstz:lastz, *] |
|---|
| 372 | else:BEGIN |
|---|
| 373 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 374 | return, report('Probleme d''adequation entre les tailles du domaine nx*ny*nz*jpt ' $ |
|---|
| 375 | +strtrim(nx, 1)+'*'+strtrim(ny, 1)+'*'+strtrim(nz, 1)+'*' $ |
|---|
| 376 | +strtrim(jpt, 1)+' et du tableau '+strtrim(taille[1], 1)+'*' $ |
|---|
| 377 | +strtrim(taille[2], 1)+'*'+strtrim(taille[3], 1)+'*' $ |
|---|
| 378 | +strtrim(taille[4], 1)) |
|---|
| 379 | END |
|---|
| 380 | endcase |
|---|
| 381 | if nx EQ 1 OR ny EQ 1 OR nz EQ 1 OR jpt EQ 1 then res = reform(res, nx, ny, nz, jpt, /over) |
|---|
| 382 | if keyword_set(nan) NE 0 then BEGIN |
|---|
| 383 | if nan NE 1 then BEGIN ; if nan is not !values.f_nan |
|---|
| 384 | ; we put it at !values.f_nan |
|---|
| 385 | if abs(nan) LT 1e6 then notanumber = where(res EQ nan) $ |
|---|
| 386 | ELSE notanumber = where(abs(res) GT abs(nan)/10.) |
|---|
| 387 | if notanumber[0] NE -1 then res[temporary(notanumber)] = !values.f_nan |
|---|
| 388 | ENDIF |
|---|
| 389 | ENDIF |
|---|
| 390 | ;--------------------------------------------------------------- |
|---|
| 391 | ; Comment : WE HAVE TO BE CAREFUL ABOUT CASES WHERE THE DIMENSION TO |
|---|
| 392 | ; AVERAGE = 1, AND MAKE SURE THAT IT EXIST. THAT IS WHY WE USE |
|---|
| 393 | ; reform(...,nx,ny,...) WHICH CAN LOOK USELESS AT THE BEGINNING |
|---|
| 394 | ;--------------------------------------------------------------- |
|---|
| 395 | if nx EQ 1 OR ny EQ 1 OR nz EQ 1 then BEGIN |
|---|
| 396 | res = reform(res, nx, ny, nz, jpt, /over) |
|---|
| 397 | mask = reform(mask, nx, ny, nz, /over) |
|---|
| 398 | ENDIF |
|---|
| 399 | IF keyword_set(key_partialstep) THEN BEGIN |
|---|
| 400 | ; the top of the ocean floor is |
|---|
| 401 | IF vargrid EQ 'T' OR vargrid EQ 'W' THEN bottom = total(mask, 3) $ |
|---|
| 402 | ELSE bottom = total(tmask[firstx:lastx, firsty:lasty, firstz:lastz], 3) |
|---|
| 403 | ; we suppress columns with only ocean or land |
|---|
| 404 | good = where(bottom NE 0 AND bottom NE nz) |
|---|
| 405 | ; the bottom of the ocean in 3D index is: |
|---|
| 406 | bottom = lindgen(nx*ny)+(temporary(bottom)-1L)*nx*ny |
|---|
| 407 | IF good[0] NE -1 THEN bottom = bottom[good] $ |
|---|
| 408 | ELSE bottom = -1 |
|---|
| 409 | ENDIF ELSE bottom = -1 |
|---|
| 410 | ;--------------------------------------------------------------- |
|---|
| 411 | ; III.2) different average types |
|---|
| 412 | ;--------------------------------------------------------------- |
|---|
| 413 | IF keyword_set(nan) NE 0 THEN msknan = finite(res) ELSE msknan = -1 |
|---|
| 414 | case 1 of |
|---|
| 415 | (dirx eq 1) and (diry eq 0) and (dirz eq 0) : BEGIN |
|---|
| 416 | e13 = (temporary(e1))[*]#replicate(1., nz) |
|---|
| 417 | e13 = reform(e13, nx, ny, nz, /over) |
|---|
| 418 | echelle = (temporary(e13)*temporary(mask))[*]#replicate(1, jpt) |
|---|
| 419 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 420 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 $ |
|---|
| 421 | AND nx NE 1 AND NOT keyword_set(keepbottom) THEN BEGIN |
|---|
| 422 | IF msknan[0] EQ -1 THEN BEGIN |
|---|
| 423 | msknan = replicate(1b, nx, ny, nz, jpt) |
|---|
| 424 | nan = 1 |
|---|
| 425 | ENDIF |
|---|
| 426 | bottom = bottom#replicate(1, jpt) $ ; 4D bottom! |
|---|
| 427 | + replicate(1, n_elements(bottom))#(nx*ny*nz*lindgen(jpt)) |
|---|
| 428 | msknan[bottom] = 0 |
|---|
| 429 | res[temporary(bottom)] = !values.f_nan |
|---|
| 430 | ENDIF |
|---|
| 431 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 432 | IF msknan[0] NE -1 THEN divi = total(echelle*msknan, 1) $ |
|---|
| 433 | ELSE divi = total(echelle, 1) |
|---|
| 434 | endelse |
|---|
| 435 | res = temporary(res)*echelle |
|---|
| 436 | res = total(temporary(res), 1, nan = nan)/(divi > 1) |
|---|
| 437 | if msknan[0] NE -1 then begin |
|---|
| 438 | echelle = temporary(echelle) NE 0 |
|---|
| 439 | testnan = temporary(msknan)*echelle |
|---|
| 440 | testnan = total(temporary(testnan), 1) $ |
|---|
| 441 | +(total(temporary(echelle), 1) EQ 0) |
|---|
| 442 | endif |
|---|
| 443 | end |
|---|
| 444 | (dirx eq 0) and (diry eq 1) and (dirz eq 0) : begin |
|---|
| 445 | e23 = temporary(e2[*])#replicate(1., nz) |
|---|
| 446 | e23 = reform(e23, nx, ny, nz, /over) |
|---|
| 447 | echelle = (temporary(e23)*temporary(mask))[*]#replicate(1, jpt) |
|---|
| 448 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 449 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 $ |
|---|
| 450 | AND ny NE 1 AND NOT keyword_set(keepbottom) THEN BEGIN |
|---|
| 451 | IF msknan[0] EQ -1 THEN BEGIN |
|---|
| 452 | msknan = replicate(1b, nx, ny, nz, jpt) |
|---|
| 453 | nan = 1 |
|---|
| 454 | endif |
|---|
| 455 | bottom = bottom#replicate(1, jpt) $ ; 4D bottom! |
|---|
| 456 | + replicate(1, n_elements(bottom))#(nx*ny*nz*lindgen(jpt)) |
|---|
| 457 | msknan[bottom] = 0 |
|---|
| 458 | res[temporary(bottom)] = !values.f_nan |
|---|
| 459 | ENDIF |
|---|
| 460 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 461 | IF msknan[0] NE -1 THEN divi = total(echelle*msknan, 2) $ |
|---|
| 462 | ELSE divi = total(echelle, 2) |
|---|
| 463 | endelse |
|---|
| 464 | res = total(temporary(res)*echelle, 2, nan = nan)/(divi > 1) |
|---|
| 465 | if msknan[0] NE -1 then begin |
|---|
| 466 | echelle = temporary(echelle) NE 0 |
|---|
| 467 | testnan = temporary(msknan)*echelle |
|---|
| 468 | testnan = total(temporary(testnan), 2) $ |
|---|
| 469 | +(total(temporary(echelle), 2) EQ 0) |
|---|
| 470 | endif |
|---|
| 471 | end |
|---|
| 472 | (dirx eq 0) and (diry eq 0) and (dirz eq 1) : begin |
|---|
| 473 | e33 = replicate(1, 1.*nx*ny)#e3 |
|---|
| 474 | e33 = reform(e33, nx, ny, nz, /over) |
|---|
| 475 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 THEN BEGIN |
|---|
| 476 | IF keyword_set(wdepth) THEN $ |
|---|
| 477 | e33[bottom] = (e3w_ps[firstx:lastx, firsty:lasty])[temporary(good)] $ |
|---|
| 478 | ELSE e33[bottom] = (e3t_ps[firstx:lastx, firsty:lasty])[temporary(good)] |
|---|
| 479 | ENDIF |
|---|
| 480 | echelle = (temporary(e33)*temporary(mask))[*]#replicate(1, jpt) |
|---|
| 481 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 482 | IF keyword_set(sshh) THEN echelle[*, *, 0, *] = echelle[*, *, 0, *] + sshh |
|---|
| 483 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 484 | IF msknan[0] NE -1 THEN divi = total(echelle*msknan, 3) $ |
|---|
| 485 | ELSE divi = total(echelle, 3) |
|---|
| 486 | endelse |
|---|
| 487 | res = total(temporary(res)*echelle, 3, nan = nan)/(divi > 1) |
|---|
| 488 | if msknan[0] NE -1 then begin |
|---|
| 489 | echelle = temporary(echelle) NE 0 |
|---|
| 490 | testnan = temporary(msknan)*echelle |
|---|
| 491 | testnan = total(temporary(testnan), 3) $ |
|---|
| 492 | +(total(temporary(echelle), 3) EQ 0) |
|---|
| 493 | endif |
|---|
| 494 | end |
|---|
| 495 | (dirx eq 1) and (diry eq 1) and (dirz eq 0) : begin |
|---|
| 496 | e13 = e1[*]#replicate(1., nz) |
|---|
| 497 | e13 = reform(e13, nx, ny, nz, /over) |
|---|
| 498 | e23 = e2[*]#replicate(1., nz) |
|---|
| 499 | e23 = reform(e23, nx, ny, nz, /over) |
|---|
| 500 | echelle = (temporary(e13)*temporary(e23)*temporary(mask))[*]#replicate(1, jpt) |
|---|
| 501 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 502 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 $ |
|---|
| 503 | AND nx*ny NE 1 AND NOT keyword_set(keepbottom) THEN BEGIN |
|---|
| 504 | IF msknan[0] EQ -1 THEN BEGIN |
|---|
| 505 | msknan = replicate(1b, nx, ny, nz, jpt) |
|---|
| 506 | nan = 1 |
|---|
| 507 | endif |
|---|
| 508 | bottom = bottom#replicate(1, jpt) $ ; 4D bottom! |
|---|
| 509 | + replicate(1, n_elements(bottom))#(nx*ny*nz*lindgen(jpt)) |
|---|
| 510 | msknan[bottom] = 0 |
|---|
| 511 | res[temporary(bottom)] = !values.f_nan |
|---|
| 512 | ENDIF |
|---|
| 513 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 514 | IF msknan[0] NE -1 THEN divi = total(total(echelle*msknan, 1), 1) $ |
|---|
| 515 | ELSE divi = total(total(echelle, 1), 1) |
|---|
| 516 | endelse |
|---|
| 517 | res = total(total(temporary(res)*echelle, 1, nan = nan), 1, nan = nan)/(divi > 1) |
|---|
| 518 | if msknan[0] NE -1 then begin |
|---|
| 519 | echelle = temporary(echelle) NE 0 |
|---|
| 520 | testnan = temporary(msknan)*echelle |
|---|
| 521 | testnan = total(total(temporary(testnan), 1), 1) $ |
|---|
| 522 | +(total(total(temporary(echelle), 1), 1) EQ 0) |
|---|
| 523 | endif |
|---|
| 524 | end |
|---|
| 525 | (dirx eq 1) and (diry eq 0) and (dirz eq 1) : begin |
|---|
| 526 | e133 = e1[*]#e3 |
|---|
| 527 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 THEN BEGIN |
|---|
| 528 | IF keyword_set(wdepth) THEN $ |
|---|
| 529 | e133[bottom] = (e1*e3w_ps[firstx:lastx, firsty:lasty])[temporary(good)] $ |
|---|
| 530 | ELSE e133[bottom] = (e1*e3t_ps[firstx:lastx, firsty:lasty])[temporary(good)] |
|---|
| 531 | ENDIF |
|---|
| 532 | echelle = (temporary(e133[*])*temporary(mask[*]))#replicate(1, jpt) |
|---|
| 533 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 534 | IF keyword_set(sshh) THEN echelle[*, *, 0, *] = echelle[*, *, 0, *] + sshh*( e1[*]#replicate(1., jpt) ) |
|---|
| 535 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 536 | IF msknan[0] NE -1 THEN divi = total(total(echelle*msknan, 1), 2) $ |
|---|
| 537 | ELSE divi = total(total(echelle, 1), 2) |
|---|
| 538 | endelse |
|---|
| 539 | res = total(total(temporary(res)*echelle, 1, nan = nan), 2, nan = nan)/(divi > 1) |
|---|
| 540 | if msknan[0] NE -1 then begin |
|---|
| 541 | echelle = temporary(echelle) NE 0 |
|---|
| 542 | testnan = temporary(msknan)*echelle |
|---|
| 543 | testnan = total(total(temporary(testnan), 1), 2) $ |
|---|
| 544 | +(total(total(temporary(echelle), 1), 2) EQ 0) |
|---|
| 545 | endif |
|---|
| 546 | end |
|---|
| 547 | (dirx eq 0) and (diry eq 1) and (dirz eq 1) : begin |
|---|
| 548 | e233 = e2[*]#e3 |
|---|
| 549 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 THEN BEGIN |
|---|
| 550 | IF keyword_set(wdepth) THEN $ |
|---|
| 551 | e233[bottom] = (e2*e3w_ps[firstx:lastx, firsty:lasty])[temporary(good)] $ |
|---|
| 552 | ELSE e233[bottom] = (e2*e3t_ps[firstx:lastx, firsty:lasty])[temporary(good)] |
|---|
| 553 | ENDIF |
|---|
| 554 | echelle = (temporary(e233[*])*temporary(mask[*]))#replicate(1, jpt) |
|---|
| 555 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 556 | IF keyword_set(sshh) THEN echelle[*, *, 0, *] = echelle[*, *, 0, *] + sshh*( e2[*]#replicate(1., jpt) ) |
|---|
| 557 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 558 | IF msknan[0] NE -1 THEN divi = total(total(echelle*msknan, 2), 2) $ |
|---|
| 559 | ELSE divi = total(total(echelle, 2), 2) |
|---|
| 560 | endelse |
|---|
| 561 | res = total(total(temporary(res)*echelle, 2, nan = nan), 2, nan = nan)/(divi > 1) |
|---|
| 562 | if msknan[0] NE -1 then begin |
|---|
| 563 | echelle = temporary(echelle) NE 0 |
|---|
| 564 | testnan = temporary(msknan)*echelle |
|---|
| 565 | testnan = total(total(temporary(testnan), 2), 2) $ |
|---|
| 566 | +(total(total(temporary(echelle), 2), 2) EQ 0) |
|---|
| 567 | endif |
|---|
| 568 | end |
|---|
| 569 | (dirx eq 1) and (diry eq 1) and (dirz eq 1) : begin |
|---|
| 570 | e1233 = (e1[*]*e2[*])#e3 |
|---|
| 571 | IF keyword_set(key_partialstep) AND bottom[0] NE -1 THEN BEGIN |
|---|
| 572 | IF keyword_set(wdepth) THEN $ |
|---|
| 573 | e1233[bottom] = (e1*e2*e3w_ps[firstx:lastx, firsty:lasty])[temporary(good)] $ |
|---|
| 574 | ELSE e1233[bottom] = (e1*e2*e3t_ps[firstx:lastx, firsty:lasty])[temporary(good)] |
|---|
| 575 | ENDIF |
|---|
| 576 | echelle = (temporary(e1233[*])*temporary(mask[*]))#replicate(1, jpt) |
|---|
| 577 | echelle = reform(echelle, nx, ny, nz, jpt, /over) |
|---|
| 578 | IF keyword_set(sshh) THEN echelle[*, *, 0, *] = echelle[*, *, 0, *] + sshh*( (e1[*]*e2[*])#replicate(1., jpt) ) |
|---|
| 579 | if keyword_set(integration) then divi = 1 ELSE begin |
|---|
| 580 | IF msknan[0] NE -1 THEN divi = total(total(total(echelle*msknan, 1), 1), 1) $ |
|---|
| 581 | ELSE divi = total(total(total(echelle, 1), 1), 1) |
|---|
| 582 | endelse |
|---|
| 583 | res = total(total(total(temporary(res)*echelle, 1, nan = nan), 1, nan = nan), 1, nan = nan)/(divi > 1) |
|---|
| 584 | if msknan[0] NE -1 then begin |
|---|
| 585 | echelle = temporary(echelle) NE 0 |
|---|
| 586 | testnan = temporary(msknan)*echelle |
|---|
| 587 | testnan = total(total(total(temporary(testnan), 1), 1), 1) $ |
|---|
| 588 | +(total(total(total(temporary(echelle), 1), 1), 1) EQ 0) |
|---|
| 589 | endif |
|---|
| 590 | end |
|---|
| 591 | endcase |
|---|
| 592 | endif |
|---|
| 593 | ;------------------------------------------------------------ |
|---|
| 594 | if dirt EQ 1 AND keyword_set(spatialfirst) then BEGIN |
|---|
| 595 | IF (reverse(size(res, /dimension)))[0] NE jpt THEN BEGIN |
|---|
| 596 | ras = report('the last dimension of res is not equal to jpt: '+strtrim(jpt, 2)) |
|---|
| 597 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 598 | return, -1 |
|---|
| 599 | ENDIF |
|---|
| 600 | tdim = size(res, /n_dimensions) |
|---|
| 601 | if keyword_set(integration) then res = total(res, tdim, nan = nan) $ |
|---|
| 602 | ELSE BEGIN |
|---|
| 603 | if keyword_set(nan) then BEGIN |
|---|
| 604 | testnan = testnan < 1 |
|---|
| 605 | testnan = total(temporary(testnan), tdim) |
|---|
| 606 | divi = testnan |
|---|
| 607 | ENDIF ELSE divi = jpt |
|---|
| 608 | res = total(res, tdim, nan = nan)/(1 > divi) |
|---|
| 609 | ENDELSE |
|---|
| 610 | ENDIF |
|---|
| 611 | ;------------------------------------------------------------ |
|---|
| 612 | ;------------------------------------------------------------ |
|---|
| 613 | ;IV ) finishing |
|---|
| 614 | ;------------------------------------------------------------ |
|---|
| 615 | ;------------------------------------------------------------ |
|---|
| 616 | ; IV.1) We mask land by a value equal to 1.e+20 |
|---|
| 617 | ;------------------------------------------------------------ |
|---|
| 618 | valmask = 1e+20 |
|---|
| 619 | terre = where(divi EQ 0) |
|---|
| 620 | IF terre[0] NE -1 THEN BEGIN |
|---|
| 621 | res[temporary(terre)] = 1e+20 |
|---|
| 622 | ENDIF |
|---|
| 623 | ;------------------------------------------------------------ |
|---|
| 624 | ; IV.2) We replace, when nan equal 1, !values.f_nan by nan |
|---|
| 625 | ;------------------------------------------------------------ |
|---|
| 626 | if keyword_set(nan) NE 0 then BEGIN |
|---|
| 627 | puttonan = where(temporary(testnan) EQ 0) |
|---|
| 628 | if puttonan[0] NE -1 then res[temporary(puttonan)] = !values.f_nan |
|---|
| 629 | if nan NE 1 then BEGIN |
|---|
| 630 | notanumber = where(finite(res) eq 0) |
|---|
| 631 | if notanumber[0] NE -1 then res[temporary(notanumber)] = nan |
|---|
| 632 | ENDIF |
|---|
| 633 | ENDIF |
|---|
| 634 | ;------------------------------------------------------------ |
|---|
| 635 | ; IV.3) We replace in the domain whch was defined at the entry of average |
|---|
| 636 | ;------------------------------------------------------------ |
|---|
| 637 | if keyword_set(savedbox) THEN restoreboxparam, 'boxparam4grmoyenne.dat' |
|---|
| 638 | ;------------------------------------------------------------ |
|---|
| 639 | if keyword_set(key_performance) THEN print, 'temps grossemoyenne', systime(1)-tempsun |
|---|
| 640 | return, res |
|---|
| 641 | ;------------------------------------------------------------ |
|---|
| 642 | ;------------------------------------------------------------ |
|---|
| 643 | end |
|---|
