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