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Commit 92064c52 authored by Stephan Thober's avatar Stephan Thober
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Merge branch 'edk_time_buffer' of git.ufz.de:chs/progs/edk_nc into edk_time_buffer

parents f5f56551 9d2dac4b
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edk.nml
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......@@ -13,6 +13,7 @@ noDataValue = -9
! Specifications of variable and coordinate names in case DataPathIn
! is a netcdf file
ncIn_variable_name = "pre"
ncIn_dem_variable_name = "dem"
! name of coordinates, these must be in [m]
ncIn_yCoord_name = "northing"
ncIn_xCoord_name = "easting"
......@@ -26,13 +27,28 @@ distZero = .True.
!
fNameDEM = "check/dem.asc"
cellFactor = 40
! name of coordinates (northing and easting) in [m]
ncOut_dem_yCoord_name = "northing"
ncOut_dem_xCoord_name = "easting"
! name of coordinates (latitude and longitude) in deg
ncOut_dem_Latitude = "latitude"
ncOut_dem_Longitude = "longitude"
! name of the DEM variable in the netcdf file
ncOut_dem_variable_name = "dem"
!
DataPathOut = "output/"
FileOut = "edk.nc"
!
! Name of Look Up Table of Station data
fNameSTA = "check/pre_data/Stations_in_study_domain.txt"
! The value that should be multiplied to the data in the netcdf file
DataConvertFactor = 1.0e-1
! The value that should be added to the data in the netcdf file
OffSet = 0
![FINAL VALUE = NETCDF VALUE * DataConvertFactor + OffSet]
!
! -------------------------------------------------------------------
! ------------ PROCESSING PERIOD ------------------------------------
......@@ -72,12 +88,14 @@ dh = 1.0e3 ! binsize for variogram [m]
hMax = 1.5e5 ! max distance h for variogram estimation [m]
! -------------------------------------------------------------------
! --------------- NC OUTPUT SPECIFICATION ----------------------------
author_name = 'XXX'
projection_name = 'EPSG: 31468'
author_name = 'Akash Koppa'
projection_name = 'EPSG:4326 '
invert_y = .True. ! (set True if working with mHM input data!)
variable_name = 'pre'
variable_name = 'pr'
variable_unit = 'mm/d'
variable_long_name = 'daily precipitation'
variable_long_name = 'Precipitation'
variable_standard_name = 'precipitation_flux'
variable_calendar_type = 'proleptic_gregorian'
! -------------------------------------------------------------------
! -------------------------------------------------------------------
/ !END*******Main Config***********
output/edk.nc
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src/EDK_driver.f90
View file @ 92064c52
......@@ -25,7 +25,7 @@ program ED_Kriging
use runControl , only: flagEDK, interMth, & ! flag for activate kriging, flag for 'OK' or 'EDK'
correctNeg, & ! pre or temp
flagVario ! flag for activate variogram estimation
use mainVar , only: yStart, yEnd, jStart, jEnd, tBuffer, nSta, & ! interpolation time periods
use mainVar , only: yStart, yEnd, jStart, jEnd, tBuffer, nSta, DEMNcFlag, & ! interpolation time periods
grid, gridMeteo, & ! grid properties of input and output grid
nCell, MetSta, &
noDataValue
......@@ -93,10 +93,10 @@ program ED_Kriging
call message('')
! number of cells per thread
ncell_thread = ceiling(real(nCell, sp) / real(loop_factor * n_threads, sp))
print *, 'nCell: ', nCell
print *, "ncell_thread: ", ncell_thread
print *, 'n_threads: ', n_threads
!print *, 'nCell: ', nCell
!print *, "ncell_thread: ", ncell_thread
!print *, 'n_threads: ', n_threads
! print *, 'DEMNcFlag', DEMNcFlag
itimer = 2
call timer_start(itimer)
......@@ -141,12 +141,12 @@ program ED_Kriging
end do
if (mod((jEnd - jStart + 1),tBuffer) .eq. 0) then ! just use mod
iTime = ((jEnd - jStart + 1)/tBuffer)
else
iTime = ((jEnd - jStart + 1)/tBuffer)
else
iTime = ((jEnd - jStart + 1)/tBuffer) + 1
end if
write(*,*),"Total Number of Time Buffers = ",iTime
t = 0
t = 0
bufferloop: do iTemp = 1, iTime
jStartTmp = jStart + (iTemp - 1) * tBuffer
......@@ -163,22 +163,21 @@ program ED_Kriging
cell(iCell)%z = noDataValue
end do
! print *, iTemp, iTime
!print *, iTemp, iTime
!$OMP parallel default(shared) &
!$OMP private(iThread, iCell, X, Nk_old)
!$OMP do SCHEDULE(dynamic)
do iThread = 1, loop_factor * n_threads
! print *, 'thread: ', iThread, " start"
ncellsloop: do iCell = iThread * ncell_thread, min((iThread + 1) * ncell_thread, ncell)
! print *, 'thread: ', iThread, " start"
ncellsloop: do iCell = (iThread - 1) * ncell_thread + 1, min(iThread * ncell_thread, ncell)
! check DEM
if (nint(cell(iCell)%h) == grid%nodata_value ) then
cell(iCell)%z = gridMeteo%nodata_value
cycle
end if
! interploation
select case (interMth)
case (1)
......@@ -186,23 +185,48 @@ program ED_Kriging
case (2)
call EDK(iCell, jStartTmp, jEndTmp, dCS, MetSta, dS, cell, cell(iCell)%W, cell(iCell)%Nk_old)
end select
end do ncellsloop
! print *, 'thread: ', iThread, " end"
end do
!$OMP end do
!$OMP end parallel
if (DEMNcFlag == 1) then
! write output
allocate(tmp_array(gridMeteo%nrows, gridMeteo%ncols, jEndTmp - jStartTmp + 1))
allocate(tmp_time(jEndTmp - jStartTmp + 1))
k = 0
do i = 1, gridMeteo%ncols
do j = 1, gridMeteo%nrows
k = k + 1
tmp_array(j,i,:) = cell(k)%z
end do
end do
do i = 1, jEndTmp - jStartTmp + 1
tmp_time(i) = t
t = t + 1
end do
sttemp = nint(tmp_time(1)+1)
cnttemp = nint((tmp_time(size(tmp_time)) - sttemp))+2
!write(*,*),"Final Output ",shape(tmp_array)
call nc_time%setData(values=tmp_time,start=(/sttemp/),cnt=(/cnttemp/))
!call nc_data%setData(values=tmp_array,start=(/1,1,sttemp/),cnt=(/size(tmp_array,1),size(tmp_array,2),cnttemp/))
call nc_data%setData(values=tmp_array,start=(/1,1,sttemp/),cnt=(/size(tmp_array,1),size(tmp_array,2),cnttemp/))
else
! write output
allocate(tmp_array(gridMeteo%ncols, gridMeteo%nrows, jEndTmp - jStartTmp + 1))
allocate(tmp_time(jEndTmp - jStartTmp + 1))
k = 0
do i = 1, gridMeteo%ncols
! do j = 1, gridMeteo%nrows
! k = k + 1
! tmp_array(i, gridMeteo%nrows - j + 1, :) = cell(k)%z
......@@ -210,16 +234,20 @@ program ED_Kriging
! end do
if (invert_y) then
do j = gridMeteo%nrows, 1, -1
k = k + 1
tmp_array(i, gridMeteo%nrows - j + 1, :) = cell(k)%z
do i = 1, gridMeteo%ncols
k = k + 1
tmp_array(i, gridMeteo%nrows - j + 1, :) = cell(k)%z
end do
end do
else
do j = 1, gridMeteo%nrows
k = k + 1
tmp_array(i, gridMeteo%nrows - j + 1, :) = cell(k)%z
do i = 1, gridMeteo%ncols
k = k + 1
tmp_array(i, gridMeteo%nrows - j + 1, :) = cell(k)%z
end do
end do
end if
end do
! end do
!t = 0
!do i = 1, jEnd - jStart + 1
! tmp_time(i) = t
......@@ -234,10 +262,14 @@ program ED_Kriging
!write(*,*),tmp_time
sttemp = nint(tmp_time(1)+1)
cnttemp = nint((tmp_time(size(tmp_time)) - sttemp))+2
!write(*,*),"Final Output ",shape(tmp_array)
call nc_time%setData(values=tmp_time,start=(/sttemp/),cnt=(/cnttemp/))
!call nc_data%setData(values=tmp_array,start=(/1,1,sttemp/),cnt=(/size(tmp_array,1),size(tmp_array,2),cnttemp/))
call nc_data%setData(values=tmp_array,start=(/1,1,sttemp/),cnt=(/size(tmp_array,1),size(tmp_array,2),cnttemp/))
end if
deallocate(tmp_array, tmp_time)
!deallocate(cell)
......
src/ReadData.f90
View file @ 92064c52
......@@ -26,36 +26,46 @@ contains
! Last Update Sa 11.06.2010
!**************************************************************************
subroutine ReadData()
use mainVar, only: noDataValue, cellFactor, DataConvertFactor, &
yStart, mStart, dStart, yEnd, mEnd, dEnd, tBuffer
use mainVar, only: noDataValue, cellFactor, DataConvertFactor, OffSet, &
yStart, mStart, dStart, yEnd, mEnd, dEnd, tBuffer,DEMNcFlag
use mo_kind, only: i4, dp
use mo_julian , only: NDAYS
use kriging, only: maxDist
use VarFit, only: vType, nParam, dh, hMax, beta
use runControl, only: interMth, fnameDEM, DataPathOut, DataPathIn, fNameSta, correctNeg, &
distZero, flagVario, fNameVario, flagEDK
distZero, flagVario, fNameVario, flagEDK
use NetCDFVar, only: FileOut, author_name, projection_name, variable_name, variable_unit, &
variable_long_name, ncIn_variable_name, ncIn_yCoord_name, ncIn_xCoord_name, invert_y
variable_standard_name, variable_calendar_type, &
variable_long_name, ncIn_variable_name, ncIn_dem_variable_name, &
ncIn_yCoord_name, ncIn_xCoord_name, invert_y, &
ncOut_dem_variable_name, ncOut_dem_yCoord_name, ncOut_dem_xCoord_name, &
ncOut_dem_Latitude, ncOut_dem_Longitude
use mo_message, only: message
use mo_string_utils, only: divide_string
implicit none
!
logical :: isNcFile
logical :: isDEMNcFile
integer(i4) :: i, ios
character(256) :: dummy, fileName
character(256), allocatable :: DataPathIn_parts(:)
character(256), allocatable :: fNameDEM_parts(:)
!
!===============================================================
! namelist definition
!===============================================================
!
namelist/mainVars/noDataValue, DataPathIn, fNameDEM, &
DataPathOut, FileOut, fNameSTA, cellFactor, DataConvertFactor, InterMth, correctNeg, &
distZero, author_name, projection_name, variable_name, variable_unit, variable_long_name, &
yStart, mStart, dStart, yEnd, mEnd, dEnd,tBuffer, maxDist, flagVario, vType, nParam, &
fNameVario, dh, hMax, ncIn_variable_name, ncIn_yCoord_name, ncIn_xCoord_name, invert_y
DataPathOut, FileOut, fNameSTA, cellFactor, DataConvertFactor, OffSet, InterMth, correctNeg, &
distZero, author_name, projection_name, variable_name, variable_unit, variable_long_name, &
variable_standard_name, variable_calendar_type, &
yStart, mStart, dStart, yEnd, mEnd, dEnd,tBuffer, maxDist, flagVario, vType, nParam, &
fNameVario, dh, hMax, ncIn_variable_name, ncIn_dem_variable_name, ncIn_yCoord_name, &
ncIn_xCoord_name, invert_y, &
ncOut_dem_variable_name, ncOut_dem_yCoord_name, ncOut_dem_xCoord_name, ncOut_dem_Latitude,&
ncOut_dem_Longitude
!
! -----------------------------------------------------------------------
! MAIN.DAT
......@@ -111,9 +121,20 @@ contains
write(*,'(3(a12), a18)') 'nugget', 'sill', 'range', 'Variogramtype'
write(*,'(3(f12.2), i18)') (beta(i), i=1,nParam), vType
! determine whether DEM is an nc file or not
call divide_string(fNameDEM, '.', fNameDEM_parts)
isDEMNcFile = (fNameDEM_parts(size(fNameDEM_parts,1)) .eq. 'nc')
deallocate(fNameDEM_parts)
DEMNcFlag = 0
! read DEM
if (isDEMNcFile) then
! read the netcdf DEM file
call ReadDEMNc
DEMNcFlag = 1
else
call ReadDEM
end if
! determine whether input path is actually a nc file
call divide_string(DataPathIn, '.', DataPathIn_parts)
isNcFile = (DataPathIn_parts(size(DataPathIn_parts,1)) .eq. 'nc')
......@@ -256,6 +277,92 @@ contains
end subroutine ReadDEM
! -----------------------------------------------------------------------
! DEM Blocks (for Irregular grids in NetCDF format )
! -----------------------------------------------------------------------
subroutine ReadDEMNc
use mainVar
use mo_kind, only : i4
use runControl
use mo_netCDF, only:NcDataset, NcVariable
use NetCDFVar, only:ncOut_dem_variable_name, ncOut_dem_yCoord_name, &
ncOut_dem_xCoord_name, ncOut_dem_Latitude, ncOut_dem_Longitude
implicit none
integer(i4) :: i,j
character(256) :: dummy, fileName
real(dp), allocatable :: dem_x(:,:) ! easting
real(dp), allocatable :: dem_y(:,:) ! northing
real(dp), allocatable :: dem_data(:,:) ! dem data
type(NcDataset) :: ncin
type(NcVariable) :: ncvar
fileName = trim(fNameDEM)
! get northing and easting information
ncin = NcDataset(fileName, 'r')
ncvar = ncin%getVariable(ncOut_dem_yCoord_name)
call ncvar%getData(dem_y)
ncvar = ncin%getVariable(ncOut_dem_xCoord_name)
call ncvar%getData(dem_x)
! get number of rows and columns
grid%nrows = size(dem_x, dim=1)
grid%ncols = size(dem_x, dim=2)
!write(*,*),"Nrows: ",grid%nrows
!write(*,*),"Ncols: ",grid%ncols
! get latitude and longitude
if(.not. allocated(gridMeteo%latitude)) allocate(gridMeteo%latitude(grid%ncols))
if(.not. allocated(gridMeteo%longitude)) allocate(gridMeteo%longitude(grid%nrows))
ncvar = ncin%getVariable(ncOut_dem_Latitude)
call ncvar%getData(gridMeteo%latitude)
ncvar = ncin%getVariable(ncOut_dem_Longitude)
call ncvar%getData(gridMeteo%longitude)
! read in the dem data
if (.not. allocated(G)) allocate(G(grid%nrows, grid%ncols))
if (.not. allocated(gridMeteo%easting)) allocate(gridMeteo%easting(grid%nrows, grid%ncols))
if (.not. allocated(gridMeteo%northing)) allocate(gridMeteo%northing(grid%nrows, grid%ncols))
!if (.not. allocated(grid%easting)) allocate(grid%easting(grid%nrows, grid%ncols))
!if (.not. allocated(grid%northing)) allocate(grid%northing(grid%nrows, grid%ncols))
ncvar = ncin%getVariable(ncOut_dem_variable_name)
call ncvar%getData(dem_data)
call ncvar%getAttribute('_FillValue',grid%nodata_value)
! store the dem data in G%h
do i=1,grid%ncols
do j=1,grid%nrows
G(j,i)%h = dem_data(j,i)
gridMeteo%northing(j,i) = dem_y(j,i)
gridMeteo%easting(j,i) = dem_x(j,i)
!grid%northing(i,j) = dem_y(i,j)
!grid%easting(i,j) = dem_x(i,j)
end do
end do
!write(*,*),"DEM data: ",shape(G%h)
!write(*,*),"Northing: ",shape(gridMeteo%northing)
!write(*,*),"Easting: ",shape(gridMeteo%easting)
!write(*,*),"Northing,Easting First Row, First Column: ",gridMeteo%northing(1,1),",",gridMeteo%easting(1,1)
!write(*,*),"Northing,Easting Last Row, Last Column: ",gridMeteo%northing(192,64),",",gridMeteo%easting(192,64)
gridMeteo%nodata_value = grid%nodata_value
gridMeteo%nrows = grid%nrows
gridMeteo%ncols = grid%ncols
nCell = grid%ncols * grid%nrows
deallocate(dem_data, dem_y, dem_x)
! close netcdf file
call ncin%close()
end subroutine ReadDEMNc
!
!
! *************************************************************************
......@@ -302,7 +409,7 @@ contains
! **************************************************************************
!
! SUBROUTINE READ METEOROLOGICAL DATABASE
! UPDATES Sa.2010-07-06 reading formats / conversion units
! :UPDATES Sa.2010-07-06 reading formats / conversion units
!
! **************************************************************************
subroutine ReadDataMeteo
......@@ -367,9 +474,9 @@ contains
close (60)
nStaEfec = nStaEfec + 1
! unit conversion
if ( DataConvertFactor /= 1.0_dp ) then
where ( MetSta(i)%z(:) /= noDataValue ) MetSta(i)%z(:) = MetSta(i)%z(:) * DataConvertFactor
end if
!if ( DataConvertFactor /= 1.0_dp ) then
where ( MetSta(i)%z(:) /= noDataValue ) MetSta(i)%z(:) = MetSta(i)%z(:) * DataConvertFactor + OffSet
!end if
! check consistency
if (jDay /= jE ) then
print *, 'File ', trim(fileName), ' has missing values.', jE - jDay
......@@ -393,12 +500,12 @@ contains
use mo_kind, only: i4, dp
use mainVar, only: nSta, MetSta, grid, period, &
yStart, mStart, dStart, yEnd, mEnd, dEnd, jStart, jEnd
yStart, mStart, dStart, yEnd, mEnd, dEnd, jStart, jEnd, DataConvertFactor, OffSet
use kriging, only: maxDist
use VarFit, only: hmax
use runControl, only: DataPathIn
use runControl, only: interMth, DataPathIn
use mo_netCDF, only: NcDataset, NcVariable
use NetCDFVar, only: ncIn_variable_name, ncIn_yCoord_name, ncIn_xCoord_name
use NetCDFVar, only: ncIn_variable_name, ncIn_yCoord_name, ncIn_xCoord_name, ncIn_dem_variable_name
use mo_get_nc_time, only: get_time_vector_and_select
implicit none
......@@ -417,6 +524,7 @@ contains
type(extend) :: domain
type(NcDataset) :: ncin
type(NcVariable) :: ncvar
type(NcVariable) :: ncdem
call getSearchDomain(domain)
......@@ -434,6 +542,11 @@ contains
ncvar = ncin%getVariable(ncIn_xCoord_name)
call ncvar%getData(temp_x)
!print *,"Meteo Easting Min: ",minval(temp_x)
!print *,"Meteo Easting Max: ",maxval(temp_x)
!print *,"Meteo Northing Min: ",minval(temp_y)
!print *,"Meteo Northing Max: ",maxval(temp_y)
nrows = size(temp_x, dim=1)
ncols = size(temp_x, dim=2)
......@@ -444,10 +557,21 @@ contains
! ! extract data and select time slice
! call ncvar%getData(data, start = (/1, 1, time_start/), cnt = (/nRows, nCols, time_count/))
! read dem from nc
if (interMth .eq. 2) then
ncdem = ncin%getVariable(ncIn_dem_variable_name)
call ncdem%getData(temp_h, start = (/1, 1/), cnt = (/nRows, nCols/))
end if
!write(*,*),"DEM Source: ",shape(temp_h)
! read meteo data from nc
ncvar = ncin%getVariable(ncIn_variable_name)
call ncvar%getData(met_data, start = (/1, 1, time_start/), cnt = (/nRows, nCols, time_count/))
call ncvar%getAttribute('missing_value', missing_value)
!call ncvar%getAttribute('missing_value', missing_value)
call ncvar%getAttribute('_FillValue',missing_value)
!write(*,*),"Data Source: ",shape(met_data)
! close netcdf file
call ncin%close()
......@@ -464,6 +588,9 @@ contains
! check if station is within search distance
! if yes increase station counting by one
! otherwise overwrite station in next iteration
!print *,"Meteo Grid Easting: ",temp_x(i,j)
!print *,"DEM Grid Easting LL: ",domain%left
!print *,"DEM Grid Easting TR: ", domain%right
if ((temp_x(i, j) .GE. domain%left) .AND. (temp_x(i, j) .LE. domain%right) .AND. &
(temp_y(i, j) .GE. domain%bottom) .AND. (temp_y(i, j) .LE. domain%top) ) then
nSta = nSta + 1
......@@ -484,17 +611,17 @@ contains
do j = 1, ncols
if (.not. mask(i,j)) cycle
iSta = iSta + 1
MetSta(iSta)%Id = iSta
MetSta(iSta)%x = temp_x(i, j)
MetSta(iSta)%y = temp_y(i, j)
MetSta(iSta)%h = 130_i4 ! temp_h(i, j)
MetSta(iSta)%Id = iSta
MetSta(iSta)%x = temp_x(i, j)
MetSta(iSta)%y = temp_y(i, j)
MetSta(iSta)%h = temp_h(i, j)
!
! add meteorological data
allocate(MetSta(iSta)%z(target_period%julStart:target_period%julEnd))
MetSta(iSta)%z = met_data(i, j, :)
MetSta(iSta)%z = met_data(i, j, :) * DataConvertFactor + OffSet
!
end do
end do
end do
deallocate(mask, temp_x, temp_y, met_data) !, temp_h)
......@@ -502,7 +629,7 @@ contains
subroutine getSearchDomain(domain)
use mainVar, only: grid
use mainVar, only: grid,gridMeteo,DEMNcFlag
use kriging, only: maxDist
use VarFit, only: hMax
use runControl, only: flagVario
......@@ -521,13 +648,25 @@ contains
search_distance = maxDist
end if
!print *,"DEMNcFlag: ",DEMNcFlag
if (DEMNcFlag == 0) then
! derive borders for station search
domain%bottom = -search_distance + grid%yllcorner
domain%top = search_distance + grid%yllcorner + grid%nrows * grid%cellsize
domain%left = -search_distance + grid%xllcorner
domain%right = search_distance + grid%xllcorner + grid%ncols * grid%cellsize
domain%bottom = -search_distance + grid%yllcorner
domain%top = search_distance + grid%yllcorner + grid%nrows * grid%cellsize
domain%left = -search_distance + grid%xllcorner
domain%right = search_distance + grid%xllcorner + grid%ncols * grid%cellsize
else
domain%bottom = -search_distance + minval(gridMeteo%northing)
domain%top = search_distance + maxval(gridMeteo%northing)
domain%left = -search_distance + minval(gridMeteo%easting)
domain%right = search_distance + maxval(gridMeteo%easting)
end if
!print *,"DEM Min Northing: ",minval(gridMeteo%northing)
!print *,"DEM Max Northing: ",maxval(gridMeteo%northing)
!print *,"DEM Min Easting: ",minval(gridMeteo%easting)
!print *,"DEM Max Easting: ",maxval(gridMeteo%easting)
end subroutine getSearchDomain
end module mo_ReadData
src/mo_EDK.f90
View file @ 92064c52
......@@ -54,19 +54,17 @@ contains
l = 0
ll = 0
Nk = 0
! switch ordinary kriging off if not explicitly given
doOK_loc = .False.
if (present(doOK)) doOK_loc = doOK
! IF NK changed -> re-estimate weights
timeloop: do jd = jStart, jEnd
if (jd > jStart) Nk_old = Nk
Nk = 0_i4
l = 0
ll = 0
do i = 1, cell(k)%nNS
j = cell(k)%listNS(i)
j = cell(k)%listNS(i)
if ( MetSta(j)%z(jd) /= noDataValue ) then
!*** zero field ***********************************
......@@ -82,7 +80,6 @@ contains
else
calc_weights = .True.
end if
!>>>> no value ! avoid indetermination
! avoid 0 value calculations ll == nNmax
! avoid calculations where only 1 station is available
......@@ -98,7 +95,6 @@ contains
call get_kriging_weights(X, nNmax, Nk, doOK_loc, dCS(k, :), dS, cell(k), MetSta)
!write(*,*),"X after kriging weights: ",X
end if
! The BLUE of z is then:
cell(k)%z(jd) = 0.
do i=1,nNmax
......@@ -230,17 +226,20 @@ contains
if (info .ne. 0_i4) then
print *, '***WARNING: calculation of weights failed'
end if
if (abs(sum(X(:nNmax)) - 1._dp) .gt. 1.e-4) then
print *, '***WARNING: sum of weights is not 1, calculation of weights failed'
print *, 'sum of weights: ', sum(X(:nNmax))
end if
! print *, 'shape of A: ', shape(A)
! print *, 'dem of stations: ', A(:, 10)
! print *, 'maximum of dem at stations: ', maxval(MetSta(:)%h)
! print *, 'easting: ', cell%x
! print *, 'northing: ', cell%y
! print *, 'number of neighbors: ', nNmax
! print *, ''
! ! print *, 'ipvt: ', ipvt
! print *, 'info: ', info
! stop 'testing'
if (abs(sum(X(:nNmax)) - 1._dp) .gt. 1.e-4) then
print *, '***WARNING: sum of weights is not 1, calculation of weights failed'
print *, 'sum of weights: ', sum(X(:nNmax))
! stop 'testing'
end if