| 1 | ;+ |
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| 2 | ; |
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| 3 | ; @file_comments compute the weight and address neede to interpolate data from a |
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| 4 | ; "regular grid" to any grid using the imoms3 method |
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| 5 | ; |
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| 6 | ; @categories interpolation |
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| 7 | PRO compute_fromreg_imoms3_weigaddr, alonin, alatin, olonin, olat, weig, addr $ |
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| 8 | ; |
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| 9 | ; @param alonin {in}{required} longitude of the input data |
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| 10 | ; @param alatin {in}{required} latitude of the input data |
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| 11 | ; @param olonin {in}{required} longitude of the output data |
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| 12 | ; @param olat {in}{required} latitude of the output data |
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| 13 | ; |
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| 14 | ; @keyword /NONORTHERNLINE and /NOSOUTHERNLINE activate if you don't whant to take into |
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| 15 | ; account the northen/southern line of the input data when perfoming the |
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| 16 | ; interpolation. |
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| 17 | ; |
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| 18 | ; @returns |
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| 19 | ; weig, addr: 2D arrays, weig and addr are the weight and addresses used to |
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| 20 | ; perform the interpolation: |
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| 21 | ; dataout = total(weig*datain[addr], 1) |
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| 22 | ; dataout = reform(dataout, jpio, jpjo, /over) |
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| 23 | ; |
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| 24 | ; @restrictions |
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| 25 | ; - the input grid must be a "regular/rectangular grid", defined as a grid for |
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| 26 | ; which each lontitudes lines have the same latitude and each latitudes columns |
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| 27 | ; have the same longitude. |
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| 28 | ; - We supposed the data are located on a sphere, with a periodicity along |
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| 29 | ; the longitude. |
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| 30 | ; - points located between the first/last 2 lines are interpolated |
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| 31 | ; using a imoms3 interpolation along the longitudinal direction and linear |
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| 32 | ; interpolation along the latitudinal direction |
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| 33 | ; - points located out of the southern and northern boundaries are interpolated |
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| 34 | ; using a imoms3 interpolation only along the longitudinal direction. |
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| 35 | ; |
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| 36 | ; @history |
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| 37 | ; November 2005: Sebastien Masson (smasson\@lodyc.jussieu.fr) |
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| 38 | ; March 2006: works for rectangular grids |
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| 39 | ;- |
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| 40 | ; |
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| 41 | ;---------------------------------------------------------- |
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| 42 | ;---------------------------------------------------------- |
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| 43 | ; |
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| 44 | PRO compute_fromreg_imoms3_weigaddr, alonin, alatin, olonin, olat, weig, addr $ |
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| 45 | , NONORTHERNLINE = nonorthernline, NOSOUTHERNLINE = nosouthernline |
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| 46 | ; |
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| 47 | compile_opt strictarr, strictarrsubs |
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| 48 | ; |
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| 49 | alon = alonin |
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| 50 | alat = alatin |
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| 51 | olon = olonin |
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| 52 | ; |
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| 53 | jpia = n_elements(alon) |
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| 54 | jpja = n_elements(alat) |
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| 55 | ; |
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| 56 | jpio = (size(olon, /dimensions))[0] |
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| 57 | jpjo = (size(olon, /dimensions))[1] |
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| 58 | ; |
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| 59 | ; alon |
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| 60 | minalon = min(alon, max = maxalon) |
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| 61 | IF maxalon-minalon GE 360. THEN stop |
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| 62 | ; alon must be monotonically increasing |
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| 63 | IF array_equal(sort(alon), lindgen(jpia)) NE 1 THEN BEGIN |
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| 64 | shiftx = -(where(alon EQ min(alon)))[0] |
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| 65 | alon = shift(alon, shiftx) |
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| 66 | IF array_equal(sort(alon), lindgen(jpia)) NE 1 THEN stop |
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| 67 | ENDIF ELSE shiftx = 0 |
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| 68 | ; alon is it regularly spaced? |
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| 69 | step = alon-shift(alon, 1) |
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| 70 | step[0] = step[0] + 360. |
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| 71 | IF total((step-step[0]) GE 1.e-6) NE 0 THEN noregx = 1 |
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| 72 | ; we extend the longitude range of alon (-> easy interpolation even |
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| 73 | ; near minalon et maxalon) |
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| 74 | toadd = 10*jpia/360+1 |
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| 75 | alon = [alon[jpia-toadd:jpia-1]-360., alon[*], alon[0:toadd-1]+360.] |
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| 76 | jpia = jpia+2*toadd |
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| 77 | ; alat |
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| 78 | revy = alat[0] GT alat[1] |
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| 79 | IF revy THEN alat = reverse(alat) |
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| 80 | ; alat must be monotonically increasing |
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| 81 | IF array_equal(sort(alat), lindgen(jpja)) NE 1 THEN stop |
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| 82 | ; alat is it regularly spaced? |
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| 83 | step = alat-shift(alat, 1) |
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| 84 | step = step[1:jpja - 1L] |
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| 85 | IF total((step-step[0]) GE 1.e-6) NE 0 THEN noregy = 1 |
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| 86 | ; |
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| 87 | if keyword_set(nonorthernline) then BEGIN |
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| 88 | jpja = jpja - 1L |
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| 89 | alat = alat[0: jpja-1L] |
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| 90 | ENDIF |
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| 91 | if keyword_set(nosouthernline) then BEGIN |
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| 92 | alat = alat[1: jpja-1L] |
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| 93 | jpja = jpja - 1L |
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| 94 | ENDIF |
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| 95 | ; olon between minalon et minalon+360 |
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| 96 | out = where(olon LT minalon) |
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| 97 | WHILE out[0] NE -1 DO BEGIN |
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| 98 | olon[out] = olon[out]+360. |
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| 99 | out = where(olon LT minalon) |
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| 100 | ENDWHILE |
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| 101 | out = where(olon GE minalon+360.) |
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| 102 | WHILE out[0] NE -1 DO BEGIN |
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| 103 | olon[out] = olon[out]- 360. |
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| 104 | out = where(olon GE minalon+360.) |
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| 105 | ENDWHILE |
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| 106 | ; make sure that all values of olon are located within values of alon |
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| 107 | IF min(olon, max = ma) LT minalon THEN stop |
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| 108 | IF ma GE minalon+360. THEN stop |
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| 109 | ; |
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| 110 | xaddr = lonarr(16, jpio*jpjo) |
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| 111 | yaddr = lonarr(16, jpio*jpjo) |
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| 112 | weig = fltarr(16, jpio*jpjo) |
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| 113 | ; |
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| 114 | indexlon = value_locate(alon, olon) |
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| 115 | IF total(alon[indexlon] GT olon) NE 0 THEN stop |
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| 116 | IF total(alon[indexlon + 1L] LE olon) NE 0 THEN stop |
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| 117 | IF (where(indexlon LE 1L ))[0] NE -1 THEN stop |
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| 118 | IF (where(indexlon GE jpia-3L))[0] NE -1 THEN stop |
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| 119 | indexlat = value_locate(alat, olat) |
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| 120 | ; |
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| 121 | ; for the ocean points located below the atm line |
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| 122 | ; jpja-2 and above the line 1 |
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| 123 | ; for those points we can always find 16 neighbors |
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| 124 | ; imoms interpolation along longitude and latitude |
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| 125 | ; |
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| 126 | short = where(indexlat LT jpja-2L AND indexlat GE 1L) |
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| 127 | ilon = indexlon[short] |
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| 128 | ilat = indexlat[short] |
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| 129 | ; |
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| 130 | IF NOT keyword_set(noregy) THEN BEGIN |
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| 131 | delta = alat[ilat+1L]-alat[ilat] |
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| 132 | IF max(abs(delta-delta[0])) GE 1.e-6 THEN stop |
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| 133 | delta = delta[0] |
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| 134 | ; |
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| 135 | d0 = (alat[ilat-1L]-olat[short])/delta |
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| 136 | IF min(d0, max = ma) LE -2 THEN stop |
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| 137 | IF ma GT -1 THEN stop |
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| 138 | wy0 = imoms3(temporary(d0)) |
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| 139 | d1 = (alat[ilat ]-olat[short])/delta |
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| 140 | IF min(d1, max = ma) LE -1 THEN stop |
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| 141 | IF ma GT 0 THEN stop |
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| 142 | wy1 = imoms3(temporary(d1)) |
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| 143 | d2 = (alat[ilat+1L]-olat[short])/delta |
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| 144 | IF min(d2, max = ma) LE 0 THEN stop |
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| 145 | IF ma GT 1 THEN stop |
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| 146 | wy2 = imoms3(temporary(d2)) |
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| 147 | d3 = (alat[ilat+2L]-olat[short])/delta |
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| 148 | IF min(d3, max = ma) LE 1 THEN stop |
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| 149 | IF ma GT 2 THEN stop |
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| 150 | wy3 = imoms3(temporary(d3)) |
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| 151 | ENDIF ELSE BEGIN |
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| 152 | nele = n_elements(short) |
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| 153 | wy0 = fltarr(nele) |
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| 154 | wy1 = fltarr(nele) |
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| 155 | wy2 = fltarr(nele) |
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| 156 | wy3 = fltarr(nele) |
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| 157 | FOR i = 0L, nele-1 DO BEGIN |
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| 158 | IF i MOD 10000 EQ 0 THEN print, i |
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| 159 | newlat = spl_incr(alat[ilat[i]-1L:ilat[i]+2L], [-1., 0., 1., 2.], olat[short[i]]) |
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| 160 | IF newlat LE 0 THEN stop |
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| 161 | IF newlat GT 1 THEN stop |
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| 162 | wy0[i] = imoms3(newlat+1) |
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| 163 | wy1[i] = imoms3(newlat) |
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| 164 | wy2[i] = imoms3(1-newlat) |
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| 165 | wy3[i] = imoms3(2-newlat) |
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| 166 | ENDFOR |
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| 167 | ENDELSE |
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| 168 | ; |
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| 169 | mi = min(wy0+wy1+wy2+wy3, max = ma) |
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| 170 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 171 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 172 | ; |
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| 173 | IF NOT keyword_set(noregx) THEN BEGIN |
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| 174 | delta = alon[ilon]-alon[ilon-1L] |
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| 175 | IF max(abs(delta-delta[0])) GE 1.e-6 THEN stop |
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| 176 | delta = delta[0] |
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| 177 | ; |
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| 178 | d0 = (alon[ilon-1L]-olon[short])/delta |
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| 179 | IF min(d0, max = ma) LE -2 THEN stop |
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| 180 | IF ma GT -1 THEN stop |
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| 181 | wx0 = imoms3(temporary(d0)) |
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| 182 | d1 = (alon[ilon ]-olon[short])/delta |
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| 183 | IF min(d1, max = ma) LE -1 THEN stop |
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| 184 | IF ma GT 0 THEN stop |
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| 185 | wx1 = imoms3(temporary(d1)) |
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| 186 | d2 = (alon[ilon+1L]-olon[short])/delta |
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| 187 | IF min(d2, max = ma) LE 0 THEN stop |
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| 188 | IF ma GT 1 THEN stop |
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| 189 | wx2 = imoms3(temporary(d2)) |
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| 190 | d3 = (alon[ilon+2L]-olon[short])/delta |
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| 191 | IF min(d3, max = ma) LE 1 THEN stop |
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| 192 | IF ma GT 2 THEN stop |
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| 193 | wx3 = imoms3(temporary(d3)) |
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| 194 | ENDIF ELSE BEGIN |
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| 195 | nele = n_elements(short) |
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| 196 | wx0 = fltarr(nele) |
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| 197 | wx1 = fltarr(nele) |
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| 198 | wx2 = fltarr(nele) |
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| 199 | wx3 = fltarr(nele) |
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| 200 | FOR i = 0L, nele-1 DO BEGIN |
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| 201 | IF i MOD 10000 EQ 0 THEN print, i |
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| 202 | newlon = spl_incr(alon[ilon[i]-1L:ilon[i]+2L], [-1., 0., 1., 2.], olon[short[i]]) |
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| 203 | IF newlon LE 0 THEN stop |
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| 204 | IF newlon GT 1 THEN stop |
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| 205 | wx0[i] = imoms3(newlon+1) |
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| 206 | wx1[i] = imoms3(newlon) |
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| 207 | wx2[i] = imoms3(1-newlon) |
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| 208 | wx3[i] = imoms3(2-newlon) |
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| 209 | ENDFOR |
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| 210 | ENDELSE |
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| 211 | ; |
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| 212 | mi = min(wx0+wx1+wx2+wx3, max = ma) |
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| 213 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 214 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 215 | ; |
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| 216 | ; line 0 |
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| 217 | xaddr[0, short] = ilon - 1L |
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| 218 | xaddr[1, short] = ilon |
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| 219 | xaddr[2, short] = ilon + 1L |
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| 220 | xaddr[3, short] = ilon + 2L |
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| 221 | yaddr[0, short] = ilat - 1L |
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| 222 | yaddr[1, short] = yaddr[0, short] |
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| 223 | yaddr[2, short] = yaddr[0, short] |
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| 224 | yaddr[3, short] = yaddr[0, short] |
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| 225 | weig[0, short] = wx0 * wy0 |
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| 226 | weig[1, short] = wx1 * wy0 |
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| 227 | weig[2, short] = wx2 * wy0 |
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| 228 | weig[3, short] = wx3 * wy0 |
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| 229 | ; line 1 |
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| 230 | xaddr[4, short] = ilon - 1L |
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| 231 | xaddr[5, short] = ilon |
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| 232 | xaddr[6, short] = ilon + 1L |
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| 233 | xaddr[7, short] = ilon + 2L |
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| 234 | yaddr[4, short] = ilat |
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| 235 | yaddr[5, short] = ilat |
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| 236 | yaddr[6, short] = ilat |
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| 237 | yaddr[7, short] = ilat |
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| 238 | weig[4, short] = wx0 * wy1 |
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| 239 | weig[5, short] = wx1 * wy1 |
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| 240 | weig[6, short] = wx2 * wy1 |
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| 241 | weig[7, short] = wx3 * wy1 |
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| 242 | ; line 2 |
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| 243 | xaddr[8, short] = ilon - 1L |
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| 244 | xaddr[9, short] = ilon |
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| 245 | xaddr[10, short] = ilon + 1L |
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| 246 | xaddr[11, short] = ilon + 2L |
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| 247 | yaddr[8, short] = ilat + 1L |
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| 248 | yaddr[9, short] = yaddr[8, short] |
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| 249 | yaddr[10, short] = yaddr[8, short] |
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| 250 | yaddr[11, short] = yaddr[8, short] |
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| 251 | weig[8, short] = wx0 * wy2 |
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| 252 | weig[9, short] = wx1 * wy2 |
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| 253 | weig[10, short] = wx2 * wy2 |
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| 254 | weig[11, short] = wx3 * wy2 |
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| 255 | ; line 3 |
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| 256 | xaddr[12, short] = ilon - 1L |
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| 257 | xaddr[13, short] = ilon |
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| 258 | xaddr[14, short] = ilon + 1L |
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| 259 | xaddr[15, short] = ilon + 2L |
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| 260 | yaddr[12, short] = ilat + 2L |
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| 261 | yaddr[13, short] = yaddr[12, short] |
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| 262 | yaddr[14, short] = yaddr[12, short] |
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| 263 | yaddr[15, short] = yaddr[12, short] |
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| 264 | weig[12, short] = wx0 * wy3 |
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| 265 | weig[13, short] = wx1 * wy3 |
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| 266 | weig[14, short] = wx2 * wy3 |
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| 267 | weig[15, short] = wx3 * wy3 |
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| 268 | ; |
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| 269 | mi = min(total(weig[*, short], 1), max = ma) |
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| 270 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 271 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 272 | ; |
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| 273 | ; for the ocean points located between the atm lines |
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| 274 | ; jpja-2 and jpja-1 or between the atm lines 0 and 1 |
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| 275 | ; linear interpolation between line 1 and line 2 |
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| 276 | ; |
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| 277 | short = where(indexlat EQ jpja-2L OR indexlat EQ 0) |
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| 278 | IF short[0] NE -1 THEN BEGIN |
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| 279 | ilon = indexlon[short] |
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| 280 | ilat = indexlat[short] |
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| 281 | ; |
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| 282 | delta = alat[ilat+1L]-alat[ilat] |
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| 283 | IF NOT keyword_set(noregy) THEN BEGIN |
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| 284 | IF max(abs(delta-delta[0])) GE 1.e-6 THEN stop |
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| 285 | delta = delta[0] |
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| 286 | ENDIF |
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| 287 | ; |
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| 288 | d1 = (alat[ilat ]-olat[short])/delta |
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| 289 | IF min(d1, max = ma) LE -1 THEN stop |
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| 290 | IF ma GT 0 THEN stop |
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| 291 | wy1 = 1.+ temporary(d1) |
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| 292 | d2 = (alat[ilat+1L]-olat[short])/delta |
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| 293 | IF min(d2, max = ma) LE 0 THEN stop |
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| 294 | IF ma GT 1 THEN stop |
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| 295 | wy2 = 1.- temporary(d2) |
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| 296 | ; |
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| 297 | mi = min(wy1+wy2, max = ma) |
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| 298 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 299 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 300 | ; but imoms3 along the longitude |
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| 301 | IF NOT keyword_set(noregx) THEN BEGIN |
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| 302 | delta = alon[ilon]-alon[ilon-1L] |
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| 303 | IF max(abs(delta-delta[0])) GE 1.e-6 THEN stop |
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| 304 | delta = delta[0] |
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| 305 | ; |
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| 306 | d0 = (alon[ilon-1L]-olon[short])/delta |
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| 307 | IF min(d0, max = ma) LE -2 THEN stop |
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| 308 | IF ma GT -1 THEN stop |
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| 309 | wx0 = imoms3(temporary(d0)) |
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| 310 | d1 = (alon[ilon ]-olon[short])/delta |
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| 311 | IF min(d1, max = ma) LE -1 THEN stop |
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| 312 | IF ma GT 0 THEN stop |
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| 313 | wx1 = imoms3(temporary(d1)) |
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| 314 | d2 = (alon[ilon+1L]-olon[short])/delta |
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| 315 | IF min(d2, max = ma) LE 0 THEN stop |
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| 316 | IF ma GT 1 THEN stop |
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| 317 | wx2 = imoms3(temporary(d2)) |
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| 318 | d3 = (alon[ilon+2L]-olon[short])/delta |
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| 319 | IF min(d3, max = ma) LE 1 THEN stop |
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| 320 | IF ma GT 2 THEN stop |
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| 321 | wx3 = imoms3(temporary(d3)) |
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| 322 | ENDIF ELSE BEGIN |
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| 323 | nele = n_elements(short) |
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| 324 | wx0 = fltarr(nele) |
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| 325 | wx1 = fltarr(nele) |
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| 326 | wx2 = fltarr(nele) |
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| 327 | wx3 = fltarr(nele) |
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| 328 | FOR i = 0L, nele-1 DO BEGIN |
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| 329 | IF i MOD 10000 EQ 0 THEN print, i |
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| 330 | newlon = spl_incr(alon[ilon[i]-1L:ilon[i]+2L], [-1., 0., 1., 2.], olon[short[i]]) |
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| 331 | IF newlon LE 0 THEN stop |
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| 332 | IF newlon GT 1 THEN stop |
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| 333 | wx0[i] = imoms3(newlon+1) |
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| 334 | wx1[i] = imoms3(newlon) |
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| 335 | wx2[i] = imoms3(1-newlon) |
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| 336 | wx3[i] = imoms3(2-newlon) |
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| 337 | ENDFOR |
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| 338 | ENDELSE |
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| 339 | ; |
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| 340 | mi = min(wx0+wx1+wx2+wx3, max = ma) |
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| 341 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 342 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 343 | ; line 1 |
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| 344 | xaddr[0, short] = ilon - 1L |
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| 345 | xaddr[1, short] = ilon |
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| 346 | xaddr[2, short] = ilon + 1L |
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| 347 | xaddr[3, short] = ilon + 2L |
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| 348 | yaddr[0, short] = ilat |
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| 349 | yaddr[1, short] = ilat |
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| 350 | yaddr[2, short] = ilat |
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| 351 | yaddr[3, short] = ilat |
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| 352 | weig[0, short] = wx0 * wy1 |
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| 353 | weig[1, short] = wx1 * wy1 |
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| 354 | weig[2, short] = wx2 * wy1 |
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| 355 | weig[3, short] = wx3 * wy1 |
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| 356 | ; line 2 |
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| 357 | xaddr[4, short] = ilon - 1L |
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| 358 | xaddr[5, short] = ilon |
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| 359 | xaddr[6, short] = ilon + 1L |
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| 360 | xaddr[7, short] = ilon + 2L |
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| 361 | yaddr[4, short] = ilat + 1L |
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| 362 | yaddr[5, short] = yaddr[4, short] |
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| 363 | yaddr[6, short] = yaddr[4, short] |
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| 364 | yaddr[7, short] = yaddr[4, short] |
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| 365 | weig[4, short] = wx0 * wy2 |
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| 366 | weig[5, short] = wx1 * wy2 |
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| 367 | weig[6, short] = wx2 * wy2 |
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| 368 | weig[7, short] = wx3 * wy2 |
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| 369 | ; |
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| 370 | mi = min(total(weig[*, short], 1), max = ma) |
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| 371 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 372 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 373 | ; |
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| 374 | ENDIF |
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| 375 | ; |
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| 376 | ; for the ocean points located below the line 0 |
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| 377 | ; Interpolation only along the longitude |
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| 378 | ; |
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| 379 | short = where(indexlat EQ -1) |
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| 380 | IF short[0] NE -1 THEN BEGIN |
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| 381 | ilon = indexlon[short] |
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| 382 | ; |
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| 383 | IF NOT keyword_set(noregx) THEN BEGIN |
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| 384 | delta = alon[ilon]-alon[ilon-1L] |
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| 385 | IF max(abs(delta-delta[0])) GE 1.e-6 THEN stop |
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| 386 | delta = delta[0] |
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| 387 | ; |
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| 388 | d0 = (alon[ilon-1L]-olon[short])/delta |
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| 389 | IF min(d0, max = ma) LE -2 THEN stop |
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| 390 | IF ma GT -1 THEN stop |
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| 391 | wx0 = imoms3(temporary(d0)) |
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| 392 | d1 = (alon[ilon ]-olon[short])/delta |
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| 393 | IF min(d1, max = ma) LE -1 THEN stop |
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| 394 | IF ma GT 0 THEN stop |
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| 395 | wx1 = imoms3(temporary(d1)) |
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| 396 | d2 = (alon[ilon+1L]-olon[short])/delta |
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| 397 | IF min(d2, max = ma) LE 0 THEN stop |
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| 398 | IF ma GT 1 THEN stop |
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| 399 | wx2 = imoms3(temporary(d2)) |
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| 400 | d3 = (alon[ilon+2L]-olon[short])/delta |
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| 401 | IF min(d3, max = ma) LE 1 THEN stop |
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| 402 | IF ma GT 2 THEN stop |
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| 403 | wx3 = imoms3(temporary(d3)) |
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| 404 | ENDIF ELSE BEGIN |
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| 405 | nele = n_elements(short) |
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| 406 | wx0 = fltarr(nele) |
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| 407 | wx1 = fltarr(nele) |
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| 408 | wx2 = fltarr(nele) |
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| 409 | wx3 = fltarr(nele) |
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| 410 | FOR i = 0L, nele-1 DO BEGIN |
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| 411 | IF i MOD 10000 EQ 0 THEN print, i |
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| 412 | newlon = spl_incr(alon[ilon[i]-1L:ilon[i]+2L], [-1., 0., 1., 2.], olon[short[i]]) |
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| 413 | IF newlon LE 0 THEN stop |
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| 414 | IF newlon GT 1 THEN stop |
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| 415 | wx0[i] = imoms3(newlon+1) |
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| 416 | wx1[i] = imoms3(newlon) |
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| 417 | wx2[i] = imoms3(1-newlon) |
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| 418 | wx3[i] = imoms3(2-newlon) |
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| 419 | ENDFOR |
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| 420 | ENDELSE |
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| 421 | ; |
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| 422 | mi = min(wx0+wx1+wx2+wx3, max = ma) |
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| 423 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 424 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 425 | ; line 1 |
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| 426 | xaddr[0, short] = ilon - 1L |
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| 427 | xaddr[1, short] = ilon |
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| 428 | xaddr[2, short] = ilon + 1L |
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| 429 | xaddr[3, short] = ilon + 2L |
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| 430 | yaddr[0:3, short] = 0 |
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| 431 | weig[0, short] = wx0 |
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| 432 | weig[1, short] = wx1 |
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| 433 | weig[2, short] = wx2 |
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| 434 | weig[3, short] = wx3 |
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| 435 | ; |
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| 436 | mi = min(total(weig[*, short], 1), max = ma) |
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| 437 | IF abs(mi-1) GE 1.e-6 THEN stop |
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| 438 | IF abs(ma-1) GE 1.e-6 THEN stop |
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| 439 | ; |
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| 440 | ENDIF |
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| 441 | ; |
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| 442 | ; for the ocean points located above jpia-1 |
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| 443 | ; Interpolation only along the longitude |
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| 444 | ; |
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| 445 | short = where(indexlat EQ jpja-1L) |
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| 446 | IF short[0] NE -1 THEN BEGIN |
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| 447 | ilon = indexlon[short] |
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| 448 | ; |
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| 449 | IF NOT keyword_set(noregx) THEN BEGIN |
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| 450 | delta = alon[ilon]-alon[ilon-1L] |
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| 451 | IF max(abs(delta-delta[0])) GE 1.e-6 THEN stop |
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| 452 | delta = delta[0] |
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| 453 | ; |
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| 454 | d0 = (alon[ilon-1L]-olon[short])/delta |
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| 455 | IF min(d0, max = ma) LE -2 THEN stop |
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| 456 | IF ma GT -1 THEN stop |
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| 457 | wx0 = imoms3(temporary(d0)) |
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| 458 | d1 = (alon[ilon ]-olon[short])/delta |
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| 459 | IF min(d1, max = ma) LE -1 THEN stop |
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| 460 | IF ma GT 0 THEN stop |
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| 461 | wx1 = imoms3(temporary(d1)) |
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| 462 | d2 = (alon[ilon+1L]-olon[short])/delta |
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| 463 | IF min(d2, max = ma) LE 0 THEN stop |
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| 464 | IF ma GT 1 THEN stop |
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| 465 | wx2 = imoms3(temporary(d2)) |
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| 466 | d3 = (alon[ilon+2L]-olon[short])/delta |
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| 467 | IF min(d3, max = ma) LE 1 THEN stop |
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| 468 | IF ma GT 2 THEN stop |
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| 469 | wx3 = imoms3(temporary(d3)) |
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| 470 | ENDIF ELSE BEGIN |
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| 471 | nele = n_elements(short) |
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| 472 | wx0 = fltarr(nele) |
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| 473 | wx1 = fltarr(nele) |
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| 474 | wx2 = fltarr(nele) |
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| 475 | wx3 = fltarr(nele) |
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| 476 | FOR i = 0L, nele-1 DO BEGIN |
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| 477 | IF i MOD 10000 EQ 0 THEN print, i |
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| 478 | newlon = spl_incr(alon[ilon[i]-1L:ilon[i]+2L], [-1., 0., 1., 2.], olon[short[i]]) |
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| 479 | IF newlon LE 0 THEN stop |
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| 480 | IF newlon GT 1 THEN stop |
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| 481 | wx0[i] = imoms3(newlon+1) |
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| 482 | wx1[i] = imoms3(newlon) |
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| 483 | wx2[i] = imoms3(1-newlon) |
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| 484 | wx3[i] = imoms3(2-newlon) |
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| 485 | ENDFOR |
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| 486 | ENDELSE |
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| 487 | ; |
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| 488 | mi = min(wx0+wx1+wx2+wx3, max = ma) |
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| 489 | IF abs(mi-1) GE 1.e-6 THEN stop |
|---|
| 490 | IF abs(ma-1) GE 1.e-6 THEN stop |
|---|
| 491 | ; line 1 |
|---|
| 492 | xaddr[0, short] = ilon-1L |
|---|
| 493 | xaddr[1, short] = ilon |
|---|
| 494 | xaddr[2, short] = ilon+1L |
|---|
| 495 | xaddr[3, short] = ilon+2L |
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| 496 | yaddr[0:3, short] = jpja-1L |
|---|
| 497 | weig[0, short] = wx0 |
|---|
| 498 | weig[1, short] = wx1 |
|---|
| 499 | weig[2, short] = wx2 |
|---|
| 500 | weig[3, short] = wx3 |
|---|
| 501 | ; |
|---|
| 502 | mi = min(total(weig[*, short], 1), max = ma) |
|---|
| 503 | IF abs(mi-1) GE 1.e-6 THEN stop |
|---|
| 504 | IF abs(ma-1) GE 1.e-6 THEN stop |
|---|
| 505 | ; |
|---|
| 506 | ENDIF |
|---|
| 507 | ; |
|---|
| 508 | ; Come back to the original index of atm grid without longitudinal overlap. |
|---|
| 509 | ; |
|---|
| 510 | ; |
|---|
| 511 | xaddr = temporary(xaddr) - toadd |
|---|
| 512 | jpia = jpia - 2*toadd |
|---|
| 513 | ; make sure all values are ge 0 |
|---|
| 514 | xaddr = temporary(xaddr) + jpia |
|---|
| 515 | ; range the values between 0 and jpia-1 |
|---|
| 516 | xaddr = temporary(xaddr) mod jpia |
|---|
| 517 | ; |
|---|
| 518 | ; take into account shiftx if needed |
|---|
| 519 | IF shiftx NE 0 THEN xaddr = (temporary(xaddr) - shiftx) MOD jpia |
|---|
| 520 | ; take into account nosouthernline and nonorthernline |
|---|
| 521 | if keyword_set(nosouthernline) then BEGIN |
|---|
| 522 | yaddr = temporary(yaddr) + 1L |
|---|
| 523 | jpja = jpja + 1L |
|---|
| 524 | ENDIF |
|---|
| 525 | if keyword_set(nonorthernline) then jpja = jpja + 1L |
|---|
| 526 | ; take into account revy if needed |
|---|
| 527 | IF revy EQ 1 THEN yaddr = jpja - 1L - temporary(yaddr) |
|---|
| 528 | ; ; |
|---|
| 529 | addr = temporary(yaddr)*jpia+temporary(xaddr) |
|---|
| 530 | ; |
|---|
| 531 | RETURN |
|---|
| 532 | END |
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