| 1 | PROGRAM interpolate |
|---|
| 2 | ! Program to interpolate values from a giving projection |
|---|
| 3 | ! To be included in a python |
|---|
| 4 | ! f2py -m ForInterpolate --f90exec=/usr/bin/gfortran-4.7 -c interpolate.F90 module_generic.F90 |
|---|
| 5 | |
|---|
| 6 | IMPLICIT NONE |
|---|
| 7 | |
|---|
| 8 | CHARACTER(LEN=50) :: main, ErrWarnMsg |
|---|
| 9 | |
|---|
| 10 | main='interpolate' |
|---|
| 11 | |
|---|
| 12 | END PROGRAM interpolate |
|---|
| 13 | |
|---|
| 14 | SUBROUTINE CoarselonlatFind(dx, dy, ilon, ilat, nxlon, nxlat, fraclon, fraclat, lonv, latv, per, & |
|---|
| 15 | Nperx, Npery, ilonlat, mindiffLl) |
|---|
| 16 | ! Function to search a given value from a coarser version of the data |
|---|
| 17 | |
|---|
| 18 | USE module_generic |
|---|
| 19 | |
|---|
| 20 | IMPLICIT NONE |
|---|
| 21 | |
|---|
| 22 | INTEGER, PARAMETER :: r_k = KIND(1.d0) |
|---|
| 23 | INTEGER, INTENT(in) :: dx, dy |
|---|
| 24 | REAL(r_k), DIMENSION(dx,dy), INTENT(in) :: ilon, ilat |
|---|
| 25 | REAL(r_k), DIMENSION(Nperx,Npery), INTENT(in) :: fraclon, fraclat |
|---|
| 26 | REAL(r_k), INTENT(in) :: lonv, latv, per |
|---|
| 27 | REAL(r_k), DIMENSION(2), INTENT(in) :: nxlon, nxlat |
|---|
| 28 | INTEGER, INTENT(in) :: Nperx, Npery |
|---|
| 29 | INTEGER, DIMENSION(2), INTENT(out) :: ilonlat |
|---|
| 30 | REAL(r_k), INTENT(out) :: mindiffLl |
|---|
| 31 | ! Local |
|---|
| 32 | REAL(r_k), DIMENSION(Nperx,Npery) :: difffraclonlat |
|---|
| 33 | REAL(r_k) :: mindifffracLl |
|---|
| 34 | INTEGER, DIMENSION(2) :: ilonlatfrac |
|---|
| 35 | INTEGER :: ixbeg, ixend, iybeg, iyend |
|---|
| 36 | INTEGER :: fracx, fracy |
|---|
| 37 | REAL(r_k) :: fraclonv, fraclatv |
|---|
| 38 | REAL(r_k), ALLOCATABLE, DIMENSION(:,:) :: difflonlat, lon, lat |
|---|
| 39 | CHARACTER(LEN=50) :: fname |
|---|
| 40 | |
|---|
| 41 | ! Variables |
|---|
| 42 | ! ilon, ilat: original 2D matrices with the longitudes and the latitudes |
|---|
| 43 | ! lonv, latv: longitude and latitude to find |
|---|
| 44 | ! nxlon, nxlat: minimum and maximum longitude and latitude of the target lon,lat |
|---|
| 45 | ! per: fraction of the whole domain (as percentage) |
|---|
| 46 | ! Nper[x/y]: period (as fraction over 1) of the fractions of the original grid to use to explore |
|---|
| 47 | ! fraclon, fraclat: longitude and latitude fractional matricies to perform the first guess |
|---|
| 48 | |
|---|
| 49 | fname = 'CoarselonlatFind' |
|---|
| 50 | |
|---|
| 51 | IF (lonv < nxlon(1) .OR. lonv > nxlon(2)) THEN |
|---|
| 52 | PRINT *, TRIM(ErrWarnMsg('err')) |
|---|
| 53 | PRINT *,' ' // TRIM(fname) // ': longitude outside data range!!' |
|---|
| 54 | PRINT *,' given value:', lonv,' outside (',nxlon(1),' ,',nxlon(2),' )' |
|---|
| 55 | STOP |
|---|
| 56 | END IF |
|---|
| 57 | IF (latv < nxlat(1) .OR. latv > nxlat(2)) THEN |
|---|
| 58 | PRINT *, TRIM(ErrWarnMsg('err')) |
|---|
| 59 | PRINT *,' ' // TRIM(fname) // ': latitude outside data range!!' |
|---|
| 60 | PRINT *,' given value:', latv,' outside (',nxlat(1),' ,',nxlat(2),' )' |
|---|
| 61 | STOP |
|---|
| 62 | END IF |
|---|
| 63 | |
|---|
| 64 | fracx = int(dx*per) |
|---|
| 65 | fracy = int(dy*per) |
|---|
| 66 | |
|---|
| 67 | ! PRINT *,'fraclon _______' |
|---|
| 68 | ! PRINT *,fraclon |
|---|
| 69 | |
|---|
| 70 | ! PRINT *,'fraclat _______' |
|---|
| 71 | ! PRINT *,fraclat |
|---|
| 72 | |
|---|
| 73 | ! Fraction point |
|---|
| 74 | difffraclonlat = SQRT((fraclon-lonv)**2. + (fraclat-latv)**2.) |
|---|
| 75 | mindifffracLl = MINVAL(difffraclonlat) |
|---|
| 76 | ilonlatfrac = index2DArrayR(difffraclonlat, Nperx, Npery, mindifffracLl) |
|---|
| 77 | |
|---|
| 78 | ! PRINT *, 'mindifffracLl:', mindifffracLl, ' ilonlatfrac:', ilonlatfrac |
|---|
| 79 | ! PRINT *, 'frac lon, lat:', fraclon(ilonlatfrac(1),ilonlatfrac(2)), ' ,', & |
|---|
| 80 | ! fraclat(ilonlatfrac(1),ilonlatfrac(2)) |
|---|
| 81 | ! PRINT *, 'values lon, lat:', lonv, latv |
|---|
| 82 | |
|---|
| 83 | ! Providing fraction range |
|---|
| 84 | fraclonv = fraclon(ilonlatfrac(1),ilonlatfrac(2)) |
|---|
| 85 | fraclatv = fraclat(ilonlatfrac(1),ilonlatfrac(2)) |
|---|
| 86 | |
|---|
| 87 | IF (fraclonv >= lonv .AND. fraclatv >= latv) THEN |
|---|
| 88 | IF (ilonlatfrac(1) > 0) THEN |
|---|
| 89 | ixbeg = (ilonlatfrac(1)-1)*fracx |
|---|
| 90 | ixend = ilonlatfrac(1)*fracx+1 |
|---|
| 91 | ELSE |
|---|
| 92 | ixbeg = 0 |
|---|
| 93 | ixend = fracx+1 |
|---|
| 94 | END IF |
|---|
| 95 | IF (ilonlatfrac(2) > 0) THEN |
|---|
| 96 | iybeg = (ilonlatfrac(2)-1)*fracy |
|---|
| 97 | iyend = ilonlatfrac(2)*fracy+1 |
|---|
| 98 | ELSE |
|---|
| 99 | iybeg = 0 |
|---|
| 100 | iyend = fracy+1 |
|---|
| 101 | END IF |
|---|
| 102 | ELSE IF (fraclonv < lonv .AND. fraclatv >= latv) THEN |
|---|
| 103 | IF (ilonlatfrac(1) < Nperx) THEN |
|---|
| 104 | IF (ilonlatfrac(1) /= 0) THEN |
|---|
| 105 | ixbeg = (ilonlatfrac(1)-1)*fracx |
|---|
| 106 | ixend = ilonlatfrac(1)*fracx+1 |
|---|
| 107 | ELSE |
|---|
| 108 | ixbeg = 0 |
|---|
| 109 | ixend = fracx+1 |
|---|
| 110 | END IF |
|---|
| 111 | ELSE |
|---|
| 112 | ixbeg = Nperx*fracx |
|---|
| 113 | ixend = dx+1 |
|---|
| 114 | END IF |
|---|
| 115 | IF (ilonlatfrac(2) > 0) THEN |
|---|
| 116 | iybeg = (ilonlatfrac(2)-1)*fracy |
|---|
| 117 | iyend = ilonlatfrac(2)*fracy+1 |
|---|
| 118 | ELSE |
|---|
| 119 | iybeg = 0 |
|---|
| 120 | iyend = fracy+1 |
|---|
| 121 | END IF |
|---|
| 122 | ELSE IF (fraclonv < lonv .AND. fraclatv < latv) THEN |
|---|
| 123 | IF (ilonlatfrac(1) < Nperx) THEN |
|---|
| 124 | IF (ilonlatfrac(1) /= 0) THEN |
|---|
| 125 | ixbeg = (ilonlatfrac(1)-1)*fracx |
|---|
| 126 | ixend = ilonlatfrac(1)*fracx+1 |
|---|
| 127 | ELSE |
|---|
| 128 | ixbeg = 0 |
|---|
| 129 | ixend = fracx+1 |
|---|
| 130 | END IF |
|---|
| 131 | ELSE |
|---|
| 132 | ixbeg = Nperx*fracx |
|---|
| 133 | ixend = dx+1 |
|---|
| 134 | ENDIF |
|---|
| 135 | IF (ilonlatfrac(2) < Npery) THEN |
|---|
| 136 | IF (ilonlatfrac(2) /= 0) THEN |
|---|
| 137 | iybeg = (ilonlatfrac(2)-1)*fracy |
|---|
| 138 | iyend = ilonlatfrac(2)*fracy+1 |
|---|
| 139 | ELSE |
|---|
| 140 | iybeg = 0 |
|---|
| 141 | iyend = fracy+1 |
|---|
| 142 | END IF |
|---|
| 143 | ELSE |
|---|
| 144 | iybeg = Npery*fracy |
|---|
| 145 | iyend = dy+1 |
|---|
| 146 | END IF |
|---|
| 147 | ELSE IF (fraclonv >= lonv .AND. fraclatv < latv) THEN |
|---|
| 148 | IF (ilonlatfrac(1) > 0) THEN |
|---|
| 149 | ixbeg = (ilonlatfrac(1)-1)*fracx |
|---|
| 150 | ixend = ilonlatfrac(1)*fracx+1 |
|---|
| 151 | ELSE |
|---|
| 152 | ixbeg = 0 |
|---|
| 153 | ixend = fracx+1 |
|---|
| 154 | END IF |
|---|
| 155 | IF (ilonlatfrac(2) < Npery) THEN |
|---|
| 156 | IF (ilonlatfrac(2) /= 0) THEN |
|---|
| 157 | iybeg = (ilonlatfrac(2)-1)*fracy |
|---|
| 158 | iyend = ilonlatfrac(2)*fracy+1 |
|---|
| 159 | ELSE |
|---|
| 160 | iybeg = 0 |
|---|
| 161 | iyend = fracy+1 |
|---|
| 162 | END IF |
|---|
| 163 | ELSE |
|---|
| 164 | iybeg = Npery*fracy |
|---|
| 165 | iyend = dy+1 |
|---|
| 166 | END IF |
|---|
| 167 | END IF |
|---|
| 168 | |
|---|
| 169 | IF (ALLOCATED(lon)) DEALLOCATE(lon) |
|---|
| 170 | ALLOCATE(lon(ixend-ixbeg+1, iyend-iybeg+1)) |
|---|
| 171 | IF (ALLOCATED(lat)) DEALLOCATE(lat) |
|---|
| 172 | ALLOCATE(lat(ixend-ixbeg+1, iyend-iybeg+1)) |
|---|
| 173 | IF (ALLOCATED(difflonlat)) DEALLOCATE(difflonlat) |
|---|
| 174 | ALLOCATE(difflonlat(ixend-ixbeg+1, iyend-iybeg+1)) |
|---|
| 175 | |
|---|
| 176 | lon = ilon(ixbeg:ixend,iybeg:iyend) |
|---|
| 177 | lat = ilat(ixbeg:ixend,iybeg:iyend) |
|---|
| 178 | |
|---|
| 179 | ! print *,'lon _______' |
|---|
| 180 | ! print *,lon |
|---|
| 181 | ! print *,'lat _______' |
|---|
| 182 | ! print *,lat |
|---|
| 183 | |
|---|
| 184 | ! Find point |
|---|
| 185 | difflonlat = SQRT((lon-lonv)**2. + (lat-latv)**2.) |
|---|
| 186 | mindiffLl = MINVAL(difflonlat) |
|---|
| 187 | ilonlat = index2DArrayR(difflonlat, ixend-ixbeg+1, iyend-iybeg+1, mindiffLl) |
|---|
| 188 | |
|---|
| 189 | ilonlat(1) = ilonlat(1) + ixbeg |
|---|
| 190 | ilonlat(2) = ilonlat(2) + iybeg |
|---|
| 191 | |
|---|
| 192 | ! PRINT *,'mindiffLl:', mindiffLl, ' ilatlon:', ilatlon |
|---|
| 193 | ! PRINT *,'lon, lat:', lon(ilonlat(1),ilonlat(2)), ' ,', lat(ilonlat(1),ilonlat(2)) |
|---|
| 194 | |
|---|
| 195 | RETURN |
|---|
| 196 | |
|---|
| 197 | END SUBROUTINE CoarselonlatFind |
|---|
| 198 | |
|---|
| 199 | SUBROUTINE CoarseInterpolate(dimx, dimy, projlon, projlat, Ninpts, lonvs, latvs, percen, mindiff, & |
|---|
| 200 | ivar, newvar, newvarin, newvarinpt, newvarindiff, ncid) |
|---|
| 201 | ! Subroutine which finds the closest grid point within a projection throughout a first guest |
|---|
| 202 | ! approche from percentages of the whole domain |
|---|
| 203 | |
|---|
| 204 | USE module_generic |
|---|
| 205 | |
|---|
| 206 | IMPLICIT NONE |
|---|
| 207 | |
|---|
| 208 | INTEGER, PARAMETER :: r_k = KIND(1.d0) |
|---|
| 209 | INTEGER, INTENT(in) :: dimx, dimy |
|---|
| 210 | REAL(r_k), DIMENSION(dimx,dimy), INTENT(in) :: projlon, projlat |
|---|
| 211 | INTEGER, INTENT(in) :: Ninpts |
|---|
| 212 | REAL(r_k), DIMENSION(Ninpts), INTENT(in) :: ivar, lonvs, latvs |
|---|
| 213 | REAL(r_k) :: mindiff, percen |
|---|
| 214 | INTEGER, INTENT(in) :: ncid |
|---|
| 215 | REAL(r_k), DIMENSION(dimx,dimy), INTENT(inout) :: newvar |
|---|
| 216 | INTEGER, DIMENSION(dimx,dimy), INTENT(inout) :: newvarin |
|---|
| 217 | INTEGER, DIMENSION(Ninpts), INTENT(inout) :: newvarinpt |
|---|
| 218 | REAL(r_k), DIMENSION(Ninpts), INTENT(inout) :: newvarindiff |
|---|
| 219 | ! Local |
|---|
| 220 | INTEGER :: iv |
|---|
| 221 | INTEGER, DIMENSION(2) :: ilonlat |
|---|
| 222 | REAL(r_k) :: mindiffLl |
|---|
| 223 | INTEGER :: Ninpts1 |
|---|
| 224 | REAL(r_k), DIMENSION(2) :: extremelon, extremelat |
|---|
| 225 | REAL(r_k), ALLOCATABLE, DIMENSION(:,:) :: fractionlon, fractionlat |
|---|
| 226 | INTEGER :: fracdx, fracdy |
|---|
| 227 | CHARACTER(LEN=50) :: fname, errormsg |
|---|
| 228 | |
|---|
| 229 | !!!!!!! Variables |
|---|
| 230 | ! dimx, dimy: dimension length of the target interpolation |
|---|
| 231 | ! proj[lon/lat]: longitudes and latitudes of the target interpolation |
|---|
| 232 | ! Ninpts: number of points to interpolate |
|---|
| 233 | ! [lon/lat]vs: longitudes and latitudes of the points to interpolate |
|---|
| 234 | ! mindiff: minimal accepted distance to the target point |
|---|
| 235 | ! percen: size (as percentage of the total domain) of the first guess portions to provide the first gues |
|---|
| 236 | ! ivar: values to localize in the target projection |
|---|
| 237 | ! newvar: localisation of the [lon/lat]vs point in the target projection |
|---|
| 238 | ! newvarin: number of point from the input data |
|---|
| 239 | ! newvarinpt: integer value indicating if the value has been already located (0: no, 1: yes) |
|---|
| 240 | ! newvarindiff: distance of point from the input data to the closest target point |
|---|
| 241 | ! ncid: netCDF output file id |
|---|
| 242 | |
|---|
| 243 | fname = 'CoarseInterpolate' |
|---|
| 244 | Ninpts1 = Ninpts/100 |
|---|
| 245 | |
|---|
| 246 | extremelon = (/ MINVAL(projlon), MAXVAL(projlon) /) |
|---|
| 247 | extremelat = (/ MINVAL(projlat), MAXVAL(projlat) /) |
|---|
| 248 | |
|---|
| 249 | fracdx = INT(dimx*percen) |
|---|
| 250 | fracdy = INT(dimy*percen) |
|---|
| 251 | |
|---|
| 252 | IF (ALLOCATED(fractionlon)) DEALLOCATE(fractionlon) |
|---|
| 253 | ALLOCATE(fractionlon(fracdx, fracdy)) |
|---|
| 254 | IF (ALLOCATED(fractionlat)) DEALLOCATE(fractionlat) |
|---|
| 255 | ALLOCATE(fractionlat(fracdx, fracdy)) |
|---|
| 256 | |
|---|
| 257 | fractionlon = projlon(::fracdx,::fracdy) |
|---|
| 258 | fractionlat = projlat(::fracdx,::fracdy) |
|---|
| 259 | |
|---|
| 260 | DO iv=1,Ninpts |
|---|
| 261 | IF (newvarinpt(iv) == 0) THEN |
|---|
| 262 | CALL CoarselonlatFind(dimx, dimy, projlon, projlat, extremelon, extremelat, fractionlon, & |
|---|
| 263 | fractionlat, lonvs(iv), latvs(iv), percen, fracdx, fracdy, ilonlat, mindiffLl) |
|---|
| 264 | |
|---|
| 265 | IF (mindiffLl <= mindiff) THEN |
|---|
| 266 | ! percendone(iv,Ninpts,0.5,'done:') |
|---|
| 267 | |
|---|
| 268 | IF (ilonlat(1) >= 0 .AND. ilonlat(1) >= 0) THEN |
|---|
| 269 | newvar(ilonlat(1),ilonlat(2)) = ivar(iv) |
|---|
| 270 | newvarin(ilonlat(1),ilonlat(2)) = iv |
|---|
| 271 | newvarinpt(iv) = 1 |
|---|
| 272 | newvarindiff(iv) = mindiffLl |
|---|
| 273 | PRINT *,'Lluis iv:', newvarin(ilonlat(1),ilonlat(2)), ' localized:', newvarinpt(iv), & |
|---|
| 274 | ' values:', newvar(ilonlat(1),ilonlat(2)), ' invalues:', ivar(iv), ' mindist:', & |
|---|
| 275 | newvarindiff(iv), ' point:',ilonlat |
|---|
| 276 | ELSE |
|---|
| 277 | PRINT *,TRIM(ErrWarnMsg('err')) |
|---|
| 278 | PRINT *,' ' // TRIM(fname) // ': point iv:', iv, ' at', lonvs(iv), ' ,', latvs(iv), & |
|---|
| 279 | ' not relocated !!' |
|---|
| 280 | PRINT *,' mindiffl:', mindiffLl, ' ilon:', ilonlat(1), ' ilat:', ilonlat(2) |
|---|
| 281 | STOP |
|---|
| 282 | END IF |
|---|
| 283 | |
|---|
| 284 | ! IF (MOD(iv,Ninpts1) == 0) newnc.sync() |
|---|
| 285 | ELSE |
|---|
| 286 | PRINT *,TRIM(ErrWarnMsg('err')) |
|---|
| 287 | PRINT *,' ' // TRIM(fname) // ': for point #', iv,' lon,lat in incomplet map:', lonvs(iv), & |
|---|
| 288 | ' ,', latvs(iv), ' there is not a set of lon,lat in the completed map closer than: ', & |
|---|
| 289 | mindiff, ' !!' |
|---|
| 290 | PRINT *,' found minimum difference:', mindiffLl |
|---|
| 291 | STOP |
|---|
| 292 | END IF |
|---|
| 293 | END IF |
|---|
| 294 | END DO |
|---|
| 295 | |
|---|
| 296 | END SUBROUTINE CoarseInterpolate |
|---|