Reading and writing ESRI Ascii raster file
arctica
Posts: 169
United Kingdom
9 Feb 2026 13:30GMT
#32796
Hello
I have converted some of my Scilab code to FTN95 that allows the user to read/write the standard ESRI Ascii raster grid format. It seems to work with the examples I have tried so far. It is a way of using one GIS-compatible format in Fortran, without the need to rebuild the netCDF interface.
module asc_reader
use ieee_arithmetic
implicit none
contains
! auto select a suitable read/write unit (unrestricted)
integer function get_free_unit()
implicit none
integer :: test_unit
logical :: is_open
do test_unit = 10, 99
inquire(unit=test_unit, opened=is_open)
if (.not. is_open) then
get_free_unit = test_unit
return
end if
end do
stop 'No free Fortran unit available!'
end function get_free_unit
subroutine asc_2_xyz(filename, X, Y, Z, nc, nr)
character(len=*), intent(in) :: filename
integer, intent(out) :: nc, nr
real, allocatable, intent(out) :: X(:,:), Y(:,:), Z(:,:)
integer :: i, j, unit_num, nodata
real :: x1, y1, dxy, x2, y2
character(len=32) :: key
real, allocatable :: xx(:), yy(:)
real :: nan
nan = ieee_value(0.0, ieee_quiet_nan)
unit_num = get_free_unit()
open(unit=unit_num, file=filename, status='old', action='read')
! Read the header values from the ESRI Ascii raster file
! Example structure:
! ncols 120
! nrows 120
! xllcorner -5
! yllcorner -5
! cellsize 0.0166666666667
! nodata_value -9999
read(unit_num,*) key, nc
read(unit_num,*) key, nr
read(unit_num,*) key, x1
read(unit_num,*) key, y1
read(unit_num,*) key, dxy
read(unit_num,*) key, nodata
allocate(Z(nr,nc), X(nr,nc), Y(nr,nc))
allocate(xx(nc), yy(nr))
! Read the z-data, stored in a grid structure
do i = nr, 1, -1
read(unit_num,*) (Z(i,j), j=1,nc)
end do
close(unit_num)
do i = 1, nr
do j = 1, nc
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nan
end do
end do
x2 = x1 + dxy * nc
y2 = y1 + dxy * nr
do j = 1, nc
xx(j) = x1 + (j-1)*(x2-x1)/(nc-1)
end do
do i = 1, nr
yy(i) = y1 + (i-1)*(y2-y1)/(nr-1)
end do
do i = 1, nr
do j = 1, nc
X(i,j) = xx(j)
Y(i,j) = yy(i)
end do
end do
end subroutine asc_2_xyz
! xyz to ESRI Ascii raster
subroutine xyz_2_asc(filename, X, Y, Z, nodata)
!------------------------------------------------------------
! Write ESRI ASCII raster (.asc)
!
! Inputs:
! filename : output file name
! X(:) : x-coordinates (monotonic)
! Y(:) : y-coordinates (monotonic)
! Z(nc,nr) : data grid
! nodata : nodata value (default in ESRI is -9999)
!------------------------------------------------------------
implicit none
character(len=*), intent(in) :: filename
real, intent(in) :: X(:,:), Y(:,:)
real, intent(inout) :: Z(:,:)
integer, intent(in) :: nodata
integer :: nc, nr, i, j, unit_num
real :: xmin, ymin, xmax, cellsize
nc = size(Z,1)
nr = size(Z,2)
! --- Grid extents (lower-left corner)
xmin = minval(X)
xmax = maxval(X)
ymin = minval(Y)
!ymax = maxval(Y)
! --- Cell size (square pixels) - some rounding errors but not significant
!cellsize = abs(xmax - xmin) / real(ny)
cellsize = abs(xmax - xmin) / real(nr)
! --- Replace NaNs (if present) with nodata
do i = 1, nc
do j = 1, nr
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
! --- Flip Z (ESRI expects top row first) - seems to need this part
Z = Z(nc:1:-1, :)
! --- Open file
unit_num = get_free_unit()
open(unit=unit_num, file=filename, status='replace', action='write', form='formatted')
! --- ESRI ASCII header
write(unit_num,'(A,I0)') 'ncols ', nc
write(unit_num,'(A,I0)') 'nrows ', nr
write(unit_num,'(A,F18.12)') 'xllcorner ', xmin
write(unit_num,'(A,F18.12)') 'yllcorner ', ymin
write(unit_num,'(A,F18.12)') 'cellsize ', cellsize
write(unit_num,'(A,I0)') 'NODATA_value ', nodata
! --- Write grid
do i = 1, nc
do j = 1, nr
if (j < nr) then
write(unit_num,'(F18.12,1X)', advance='no') Z(i,j)
else
write(unit_num,'(F18.12)') Z(i,j)
end if
end do
end do
close(unit_num)
end subroutine xyz_2_asc
end module asc_reader
program read_asc
use asc_reader
implicit none
real, allocatable :: X(:,:), Y(:,:), Z(:,:)
integer :: nc, nr
! Read the ESRI ASCII grid. Read header to get geometry and limits; scan z-grid
call asc_2_xyz('small1-Free-air_gravity.asc', X, Y, Z, nc, nr)
! sample code goes here. Process the data etc.
! Simple checks to verify the data orientation
print *, 'File: small1-Free-air_gravity.asc'
print *, 'Grid size (rows, cols): ', nr, nc
print *, 'coordinate checks (Z values):'
print *, 'Top left:'
print *, ' Z = ', Z(nr,1)
print *, ' X,Y = ', X(nr,1), Y(nr,1) ! validate the coordinates match the input
print *, 'Top right:'
print *, ' Z = ', Z(nr,nc)
print *, ' X,Y = ', X(nr,nc), Y(nr,nc)
print *, 'Bottom left:'
print *, ' Z = ', Z(1,1)
print *, ' X,Y = ', X(1,1), Y(1,1)
print *, 'Bottom right:'
print *, ' Z = ', Z(1,nc)
print *, ' X,Y = ', X(1,nc), Y(1,nc)
! Add Clearwin plot to check the data plot (to do)
! Check the new written file to ensure it matches the input
call xyz_2_asc('test_out.asc', X, Y, Z, -9999)
end program read_asc
Example file (save as e.g. test.asc), will load into QGIS:
ncols 120
nrows 120
xllcorner -5
yllcorner -5
cellsize 0.0166666666667
nodata_value -9999
1.03251874447 1.83750700951 3.18275356293 4.54525613785 5.35290622711 5.71077251434 5.5184135437 4.91144180298 3.70446562767 1.7280164957 -0.810259282589 -3.20066618919 -5.556183815 -7.16647720337 -7.76845216751 -7.03649044037 -5.87662887573 -4.49651527405 -2.52272105217 0.246759101748 3.40625596046 5.78535032272 6.80194616318 6.42417144775 4.917096138 3.29981303215 1.72139251232 0.704135000706 0.304782032967 0.553235054016 1.72534108162 3.10708260536 3.72699189186 3.12631988525 1.36749756336 -0.442805290222 -2.0046339035 -2.81925177574 -3.19501066208 -3.04345011711 -2.68490457535 -2.29883551598 -2.30514454842 -2.91476726532 -3.91676092148 -4.91676950455 -5.89254951477 -6.68558549881 -7.08888626099 -6.72008466721 -5.90216827393 -4.70216941833 -3.11046266556 -1.27660930157 0.712742745876 2.13000488281 2.90510988235 2.94392943382 2.77445268631 2.79038143158 3.00000667572 3.18210506439 3.35854768753 3.34195280075 3.16684031487 2.94260668755 2.55655550957 2.35786437988 2.3482503891 2.70677375793 3.32139873505 4.47060394287 5.24639177322 5.46363735199 5.10179853439 4.7011218071 4.33298254013 4.29217433929 4.4278087616 4.39200782776 4.50342178345 4.256980896 3.20988035202 0.935221612453 -2.64283704758 -6.03156137466 -8.40103340149 -9.37152957916 -9.51846504211 -9.23752117157 -8.1592092514 -5.57682514191 -2.42496299744 -0.0312652178109 1.37571084499 1.96543383598 1.94818735123 1.34121346474 -0.0345645062625 -2.02195358276 -4.17511320114 -5.20631790161 -5.41260814667 -5.06867456436 -4.68195152283 -4.65772151947 -4.86535215378 -5.47232627869 -6.6583776474 -8.07499027252 -9.62985229492 -10.6132793427 -10.9801034927 -10.7462568283 -9.97481632233 -9.34492397308 -8.54228210449 -7.93199539185 -7.75358295441 -8.50213909149
1.44356620312 2.01618170738 2.99297451973 4.1761007309 4.96557474136 4.96204328537 4.75151968002 4.15151691437 2.9515144825 1.16907298565 -1.00702559948 -3.19016385078 -5.3732919693 -7.1796245575 -8.00701141357 -7.64075136185 -6.87517642975 -5.8983707428 -4.3327870369 -1.74896490574 1.43065559864 3.83064651489 5.04751110077 4.88474082947 3.91567921638 2.10795974731 0.497439324856 -0.709588885307 -1.12011539936 -0.505362331867 0.695320487022 2.31286144257 3.33744168282 2.74658608437 0.955744683743 -1.05197393894 -2.44424510002 -3.23303079605 -3.42669296265 -3.64144587517 -3.65619516373 -3.25550746918 -3.26604056358 -4.08220815659 -5.31028938293 -6.30890321732 -7.1018743515 -7.90117883682 -8.50820159912 -8.31523418427 -7.3194270134 -6.12012052536 -4.49837303162 -2.27448320389 -0.068158172071 1.538869977 2.14306020737 2.33956933022 2.35643625259 2.58382844925 2.99999856949 3.00280809402 2.98525094986 2.76769351959 2.76558208466 2.35855031013 1.95924556255 1.73888146877 1.52271270752 1.50934553146 2.09951424599 3.07141518593 3.66507601738 4.07279682159 3.87983298302 3.49105262756 3.28755545616 2.86296725273 2.42220759392 1.77023637295 1.1231392622 0.478185802698 -0.956239759922 -4.00540924072 -8.02927589417 -11.6482057571 -13.8313369751 -14.1892051697 -13.530207634 -12.4711999893 -10.8290500641 -8.020652771 -4.8298163414 -2.44034814835 -1.04034435749 -0.647368609905 -0.854396820068 -1.454398036 -2.64875197411 -4.62907314301 -6.79954528809 -8.0086555481 -8.21987438202 -8.22340774536 -7.8346323967 -7.62829256058 -7.81845855713 -8.41846084595 -9.61776447296 -11.2353210449 -12.6282815933 -13.4107255936 -13.3756151199 -12.7517261505 -11.9419002533 -11.1145048141 -10.0976438522 -9.29130649567 -9.08148002625 -9.66391086578
2.05069041252 2.22645616531 2.99851989746 3.98211240768 4.57575845718 4.7828335762 4.37500858307 3.77500844002 2.57500839233 0.982105016708 -1.00000727177 -2.98286557198 -4.96424627304 -6.77503919601 -7.99927377701 -8.03429889679 -7.65780305862 -6.88573789597 -5.71071815491 -3.33790826797 -0.562136948109 1.83860051632 3.25574374199 3.69785118103 2.91353607178 1.12357723713 -0.683510422707 -1.8835157156 -2.49134087563 -1.90137290955 -0.712157070637 1.09641432762 2.3027806282 1.92996323109 0.357885122299 -1.63133621216 -3.04211330414 -3.64507031441 -3.83427929878 -4.02424526215 -4.01495218277 -3.62573599815 -3.83135223389 -4.860019207 -6.47272825241 -7.49429798126 -8.29355335236 -9.10433769226 -9.7043428421 -9.50434970856 -8.7006483078 -7.48986434937 -5.48720884323 -3.06858539581 -0.857795894146 0.742213070393 1.53851294518 1.53069341183 1.74931120872 2.37354397774 3.00073385239 3.21712708473 3.00929689407 2.60293936729 2.37428736687 1.97501575947 1.56570637226 0.941477477551 0.513548433781 0.503483772278 0.886344254017 1.47363138199 2.06357550621 2.45279717445 2.2528026104 2.04984164238 1.6442322731 1.03786253929 0.202094122767 -1.0292403698 -2.07579994202 -3.30712723732 -5.13136672974 -8.54630851746 -12.7664022446 -16.5526657104 -18.5355205536 -18.521320343 -17.2885017395 -15.6556835175 -13.6414861679 -10.8608398438 -7.88728809357 -5.69364356995 -4.29438066483 -3.89512348175 -4.09512758255 -4.69586467743 -5.87502479553 -7.44148492813 -8.99081134796 -10.1599349976 -10.5584487915 -10.3528432846 -10.1498794556 -9.94055938721 -9.92342376709 -10.5234212875 -11.7334680557 -13.5405654907 -14.9405612946 -15.5334663391 -15.1185379028 -14.2999162674 -13.282043457 -12.0570707321 -10.8406629562 -10.032081604 -9.61420726776 -10.0078468323
2.66332674026 2.64588546753 3.02130723 3.79283356667 4.38255691528 4.58256673813 4.19281673431 3.59281897545 2.39282131195 0.792833507061 -1.00000226498 -2.78100776672 -4.58567142487 -6.59204053879 -8.00948143005 -8.4340763092 -8.26256275177 -7.88792657852 -6.89353752136 -4.9299454689 -2.34660387039 0.042346637696 1.66055822372 2.48516321182 1.92468214035 0.342098683119 -1.45869421959 -2.65947246552 -3.24922251701 -2.86741757393 -1.87456953526 -0.0966474637389 1.11440753937 1.15081393719 -0.024605223909 -1.8182336092 -3.42538166046 -4.24356603622 -4.23641633987 -4.21900415421 -3.98898148537 -3.79613804817 -4.0174574852 -5.4309887886 -7.05388402939 -8.46740245819 -9.27844715118 -10.2855978012 -10.8863811493 -10.68638134 -9.67924118042 -8.27208900452 -6.46738862991 -3.87048864365 -1.46255588531 0.13666112721 0.728740692139 0.739773511887 1.13589060307 1.95410990715 2.99051618576 3.41899013519 3.22845697403 2.81661915779 2.20308566093 1.79282355309 1.16358137131 0.346923291683 -0.477657496929 -0.694293320179 -0.510941386223 0.0677224770188 0.450306028128 0.643934547901 0.444712907076 0.0280915051699 -0.39323246479 -1.00272619724 -2.21705460548 -3.63606929779 -5.25754737854 -6.67656421661 -8.69478034973 -12.0853214264 -16.4616947174 -19.8379135132 -21.6204833984 -21.6204566956 -20.2243156433 -18.4281730652 -16.4265861511 -14.0724592209 -11.5183496475 -9.32784461975 -7.91679859161 -7.50653457642 -7.70809841156 -8.29705142975 -9.07248306274 -10.2273654938 -11.1632528305 -11.7220487595 -11.8833351135 -11.6635742188 -11.2485141754 -10.8208341599 -10.6026220322 -11.2034025192 -12.62159729 -14.4208288193 -15.8200511932 -16.419260025 -16.0295028687 -15.0318222046 -13.8238773346 -12.4182634354 -10.9897871017 -9.95028305054 -9.34389972687 -9.73284053802
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Any comments or improvements welcome.
Lester
9 Feb 2026 14:41GMT
#32797
In asc_2_xyz you allocate:
allocate(Z(nr,nc), X(nr,nc), Y(nr,nc))
and read as:
do i = nr, 1, -1
read(unit_num,*) (Z(i,j), j=1,nc)
end do
So here:
• first index = row
• second index = column
In xyz_2_asc
You then do:
nc = size(Z,1)
nr = size(Z,2)
So you’ve silently swapped rows and columns,
Perhaps it should be:
nr = size(Z,1)
nc = size(Z,2)
arctica
Posts: 169
United Kingdom
10 Feb 2026 13:39GMT
(Edited: 10 Feb 2026 13:43GMT)
#32798
Good spot Ken, always good to have a fresh pair of eyes. I fixed the code and also added an extra check for square cells that ESRI expects. The code should work with any shape of grid, not just a square area. Made sure the output is written North to South, so there should not be any issues with flipped grids.
module asc_reader
use ieee_arithmetic
implicit none
contains
! auto select a suitable read/write unit (unrestricted)
integer function get_free_unit()
implicit none
integer :: test_unit
logical :: is_open
do test_unit = 10, 99
inquire(unit=test_unit, opened=is_open)
if (.not. is_open) then
get_free_unit = test_unit
return
end if
end do
stop 'No free Fortran unit available!'
end function get_free_unit
subroutine asc_2_xyz(filename, X, Y, Z, nc, nr)
character(len=*), intent(in) :: filename
integer, intent(out) :: nc, nr
real, allocatable, intent(out) :: X(:,:), Y(:,:), Z(:,:)
integer :: i, j, unit_num, nodata
real :: x1, y1, dxy
character(len=32) :: key
real :: nan
nan = ieee_value(0.0, ieee_quiet_nan)
unit_num = get_free_unit()
open(unit=unit_num, file=filename, status='old', action='read')
! Read the header values from the ESRI Ascii raster file
read(unit_num,*) key, nc
read(unit_num,*) key, nr
read(unit_num,*) key, x1
read(unit_num,*) key, y1
read(unit_num,*) key, dxy
read(unit_num,*) key, nodata
allocate(Z(nr,nc), X(nr,nc), Y(nr,nc))
! Read the z-data, stored in a grid structure
do i = nr, 1, -1
read(unit_num,*) (Z(i,j), j=1,nc)
end do
close(unit_num)
do i = 1, nr
do j = 1, nc
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nan
end do
end do
! Correctly build coordinates (cell centers)
do i = 1, nr
do j = 1, nc
X(i,j) = x1 + (j-1) * dxy
Y(i,j) = y1 + (i-1) * dxy
end do
end do
end subroutine asc_2_xyz
! xyz to ESRI Ascii raster
subroutine xyz_2_asc(filename, X, Y, Z, nodata)
!------------------------------------------------------------
! Write ESRI ASCII raster (.asc)
!
! Inputs:
! filename : output file name
! X(:) : x-coordinates (monotonic)
! Y(:) : y-coordinates (monotonic)
! Z(nc,nr) : data grid
! nodata : nodata value (default in ESRI is -9999)
!------------------------------------------------------------
implicit none
character(len=*), intent(in) :: filename
real, intent(in) :: X(:,:), Y(:,:)
real, intent(inout) :: Z(:,:)
integer, intent(in) :: nodata
integer :: nc, nr, i, j, unit_num
real :: xmin, ymin, cellsize
real :: dx, dy, tol
nr = size(Z,1)
nc = size(Z,2)
! --- Grid extents (lower-left corner)
xmin = minval(X)
ymin = minval(Y)
! --- Cell size (square pixels) - some rounding errors but not significant
! --- Validate square pixels
dx = X(1,2) - X(1,1)
dy = Y(2,1) - Y(1,1)
tol = max(abs(dx),abs(dy)) * 1.0e-6
if (abs(dx - dy) > tol) then
stop 'ERROR: Non-square grid — cannot write ESRI ASCII'
end if
cellsize = dx
! --- Replace NaNs (if present) with nodata
do i = 1, nc
do j = 1, nr
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
! --- Flip Z (ESRI expects top row first) - seems to need this part
!Z = Z(nc:1:-1, :)
! --- Open file
unit_num = get_free_unit()
open(unit=unit_num, file=filename, status='replace', action='write', form='formatted')
! --- ESRI ASCII header
write(unit_num,'(A,I0)') 'ncols ', nc
write(unit_num,'(A,I0)') 'nrows ', nr
write(unit_num,'(A,F18.12)') 'xllcorner ', xmin
write(unit_num,'(A,F18.12)') 'yllcorner ', ymin
write(unit_num,'(A,F18.12)') 'cellsize ', cellsize
write(unit_num,'(A,I0)') 'NODATA_value ', nodata
! --- Write ESRI ascii raster format grid
do i = nr, 1, -1
do j = 1, nc
if (j < nc) then
write(unit_num,'(F18.12,1X)', advance='no') Z(i,j)
else
write(unit_num,'(F18.12)') Z(i,j)
end if
end do
end do
close(unit_num)
end subroutine xyz_2_asc
end module asc_reader
program read_asc
use asc_reader
implicit none
real, allocatable :: X(:,:), Y(:,:), Z(:,:)
integer :: nc, nr
! Read the ESRI ASCII grid. Read header to get geometry and limits; scan z-grid
call asc_2_xyz('ARG_test.asc', X, Y, Z, nc, nr)
! sample code goes here. Process the data etc.
! Simple checks to verify the data orientation
print *, 'File: ARG_test.asc'
print *, 'Grid size (rows, cols): ', nr, nc
print *, 'coordinate checks (Z values):'
print *, 'Top left:'
print *, ' Z = ', Z(nr,1)
print *, ' X,Y = ', X(nr,1), Y(nr,1) ! validate the coordinates match the input
print *, 'Top right:'
print *, ' Z = ', Z(nr,nc)
print *, ' X,Y = ', X(nr,nc), Y(nr,nc)
print *, 'Bottom left:'
print *, ' Z = ', Z(1,1)
print *, ' X,Y = ', X(1,1), Y(1,1)
print *, 'Bottom right:'
print *, ' Z = ', Z(1,nc)
print *, ' X,Y = ', X(1,nc), Y(1,nc)
! Add Clearwin plot to check the data plot (to do)
! Check the new written file to ensure it matches the input
call xyz_2_asc('test_out.asc', X, Y, Z, -9999)
end program read_asc
Lester
10 Feb 2026 14:48GMT
(Edited: 10 Feb 2026 14:58GMT)
#32800
Lester,
Fortran stores arrays in column-major order, meaning:
Z(i,j) i indexes rows, j indexes columns.
In memory, all values of column 1 are stored contiguously, then column 2, etc.
Many people come from C/Python/NumPy, which use row-major order, where:
Z[i][j] → i is the row, j is the column, but memory is laid out row by row.
So if you loop incorrectly thinking “row first, then column,” you can accidentally transpose or flip your data when writing/reading files.
In your revised code for xyz_2_asc you have:
do i = 1, nc
do j = 1, nr
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
You looped i = 1..nc and j = 1..nr, which reverses row/column indexing again!
Rule of thumb for Fortran + grid data:
Z(nr,nc) → nr rows, nc columns.
Z(1,1) is bottom-left if you follow ESRI convention.
Always think (row,column) first, not x/y like in Python etc.
Bearing all of this in mind, and remembering that for fastest memory access to work in columns, you probably need something like this:
subroutine xyz_2_asc(filename, X, Y, Z, nodata)
!------------------------------------------------------------
! Write ESRI ASCII raster (.asc) from Fortran column-major arrays
!
! Inputs:
! filename : output file name
! X(:,:) : x-coordinates (monotonic)
! Y(:,:) : y-coordinates (monotonic)
! Z(nr,nc) : data grid
! nodata : nodata value (default in ESRI is -9999)
!------------------------------------------------------------
implicit none
character(len=*), intent(in) :: filename
real, intent(in) :: X(:,:), Y(:,:)
real, intent(inout) :: Z(:,:)
integer, intent(in) :: nodata
integer :: nr, nc, i, j, unit_num
real :: xmin, ymin, dx, dy, cellsize, tol
nr = size(Z,1) ! rows
nc = size(Z,2) ! columns
! --- Grid extents (lower-left corner)
xmin = minval(X)
ymin = minval(Y)
! --- Cell size (square pixels)
dx = X(1,2) - X(1,1)
dy = Y(2,1) - Y(1,1)
tol = max(abs(dx), abs(dy)) * 1.0e-6
if (abs(dx - dy) > tol) then
stop 'ERROR: Non-square grid — cannot write ESRI ASCII'
end if
cellsize = dx
! --- Replace NaNs with nodata
do j = 1, nc
do i = 1, nr
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
! --- Flip Z vertically for ESRI top-row-first format
Z = Z(nr:1:-1, :)
! --- Open file
unit_num = get_free_unit()
open(unit=unit_num, file=filename, status='replace', action='write', form='formatted')
! --- ESRI ASCII header
write(unit_num,'(A,I0)') 'ncols ', nc
write(unit_num,'(A,I0)') 'nrows ', nr
write(unit_num,'(A,F18.12)') 'xllcorner ', xmin
write(unit_num,'(A,F18.12)') 'yllcorner ', ymin
write(unit_num,'(A,F18.12)') 'cellsize ', cellsize
write(unit_num,'(A,I0)') 'NODATA_value ', nodata
! --- Write grid row by row (top first)
do i = 1, nr
do j = 1, nc
if (j < nc) then
write(unit_num,'(F18.12,1X)', advance='no') Z(i,j)
else
write(unit_num,'(F18.12)') Z(i,j)
end if
end do
end do
close(unit_num)
end subroutine xyz_2_asc
You may be getting the correct result, but accidently, and this will bite you later on. Of course I could be completely wrong, but patterns like:
do i = 1, nc
do j = 1, nr
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
Instead of:
do j = 1, nc
do i = 1, nr
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
Is something I have learned the hard way to look out for!
arctica
Posts: 169
United Kingdom
10 Feb 2026 15:23GMT
(Edited: 10 Feb 2026 15:23GMT)
#32802
Hi Ken
Your code correction works;
Revised
! --- Replace NaNs (if present) with nodata
do i = 1, nr
do j = 1, nc
if (abs(Z(i,j) - nodata) < abs(nodata)*1.0e-6) Z(i,j) = nodata
end do
end do
! --- Write ESRI ascii raster format grid
do i = 1, nr
do j = 1, nc
if (j < nc) then
write(unit_num,'(F18.12,1X)', advance='no') Z(i,j)
else
write(unit_num,'(F18.12)') Z(i,j)
end if
end do
end do
What is the simplest and most efficient way to plot the grid via clearwin?
Thanks for checking the code
Lester
10 Feb 2026 22:49GMT
#32805
Lester,
Here is a minimum, so hopefully easy to understand program that generates a coloured surface plot given x(1:nx), y(1:ny) and z(1:nx,1:ny).
module ex31_a_mod
use clrwin
implicit none
private
public surface_plot
real*8 :: xmin,xmax,ymin,ymax,zmin,zmax
integer :: screen_width, screen_depth, mleft, mtop, mright, mbottom, max_frame_h, max_frame_w, &
frame_w, frame_h, graphics_width, graphics_depth
real*8 :: data_aspect, max_h, max_w
real*8, allocatable :: xc(:), yc(:), zc(:,:)
contains
integer function surface_plot(x,y,z,title)
real*8, intent(in) :: x(:), y(:), z(:,:)
character(len=*), intent(in), optional :: title
integer :: iw
xmin = minval(x) ; xmax = maxval(x)
ymin = minval(y) ; ymax = maxval(y)
zmin = minval(z) ; zmax = maxval(z)
allocate( xc(size(x)), yc(size(y)), zc(size(z,dim=1),size(z,dim=2)) )
xc = x ; yc = y ; zc = z
! Get screen size
screen_width = clearwin_info@('SCREEN_WIDTH')
screen_depth = clearwin_info@('SCREEN_DEPTH')
! x-y data aspect ratio
data_aspect = (xmax - xmin)/(ymax - ymin)
! Max usable screen area (85% in X, 80% in y)
max_w = 0.85d0 * dble(screen_width)
max_h = 0.80d0 * dble(screen_depth)
! Fix margins
mleft = screen_width/12
mtop = mleft/2
mright = mleft
mbottom = mleft/2
! Compute maximum usable frame area
max_frame_w = max_w - (mleft + mright)
max_frame_h = max_h - (mtop + mbottom)
frame_w = int(max_frame_w)
frame_h = int(frame_w / data_aspect)
if (frame_h > int(max_frame_h)) then
frame_h = int(max_frame_h) ; frame_w = int(frame_h * data_aspect)
end if
! Determine final required graphics width and depth
graphics_width = frame_w + mleft + mright
graphics_depth = frame_h + mtop + mbottom
iw = winio@('%fn[Arial]%ts%bf%bg&',1.2d0,rgb@(220,220,220))
call winop@('%pl[native, n_graphs=1,x_array,frame,link=user]')
call winop@('%pl[axes_pen=2,frame_pen=2,gridlines]')
call winop_flt@('%pl[x_min]',xmin)
call winop_flt@('%pl[x_max]',xmax)
call winop_flt@('%pl[y_min]',ymin)
call winop_flt@('%pl[y_max]',ymax)
! Set the margins calculated above
call set_pl_margins(mleft, mtop, mright, mbottom)
if (present(title)) call WINOP_STR@('%pl[title]', '"'//title//'"')
iw = winio@('%^pl&',graphics_width, graphics_depth,2,[0.d0,1.d0],[0.d0,1.d0],pl_cb)
iw = winio@('')
deallocate(xc,yc,zc)
surface_plot=2
end function surface_plot
integer function pl_cb()
integer :: ixmin,ixmax,iymin,iymax,i,j,k
integer :: iwhite,val,iz
integer(2):: i2, j2
real*8 :: rxmin,rxmax,rymin,rymax,x,y,z
if (clearwin_string@('CALLBACK_REASON') .eq. 'PLOT_ADJUST') then
iwhite = rgb@(255,255,255)
k = GET_PLOT_POINT@(xmin,ymin,rxmin,rymin)
k = GET_PLOT_POINT@(xmax,ymax,rxmax,rymax)
ixmin = nint(rxmin) ; ixmax = nint(rxmax)
iymin = nint(rymin) ; iymax = nint(rymax)
do i = ixmin, ixmax
do j = iymin, iymax, -1
i2 = i ; j2 = j
call get_rgb_value@(i2,j2,val)
if (val .eq. iwhite) then
k = get_plot_data@(i,j,x,y)
if (k .eq. 0) then
z = z_bilinear(xc,yc,zc,x,y)
iz = colour_ramp2(z, zmin, zmax)
call draw_filled_rectangle@(i,j,i,j,iz)
end if
end if
end do
end do
end if
pl_cb = 2
end function pl_cb
function z_bilinear(x, y, z, xt, yt) result(zval)
real*8, intent(in) :: x(:), y(:), z(:,:), xt, yt
real*8 :: zval
integer :: i, j
real*8 :: x1, x2, y1, y2, z11, z21, z12, z22, tx, ty
i = bin_search(x, xt) ; j = bin_search(y, yt)
x1 = x(i) ; x2 = x(i+1)
y1 = y(j) ; y2 = y(j+1)
z11 = z(i, j ) ; z21 = z(i+1,j )
z12 = z(i, j+1) ; z22 = z(i+1,j+1)
tx = (xt - x1) / (x2 - x1)
ty = (yt - y1) / (y2 - y1)
zval = (1.0d0-tx)*(1.0d0-ty)*z11 + &
tx *(1.0d0-ty)*z21 + &
(1.0d0-tx)*ty *z12 + &
tx *ty *z22
end function z_bilinear
integer function bin_search(vec, val)
real*8, intent(in) :: vec(:), val
integer :: lo, hi, mid
lo = 1 ; hi = size(vec)-1
do while (lo .le. hi)
mid = (lo + hi) / 2
if (val .lt. vec(mid)) then
hi = mid - 1
else if (val .gt. vec(mid+1)) then
lo = mid + 1
else
bin_search = mid
return
end if
end do
! If outside range, clamp to last valid index
bin_search = max(1, min(size(vec)-1, lo))
end function bin_search
integer function colour_ramp2(z, zmin, zmax) result(rgbval)
real*8, intent(in) :: z, zmin, zmax
integer :: r, g, b
real*8 :: f
real*8, parameter :: pastel_scale = 0.125d0 ! 0 = intense, 1 = white
f = (z - zmin) / (zmax - zmin)
f = max(0.0d0, min(1.0d0, f)) ! clamp
! base "vivid" RGB
r = 255.0d0 * max(0.0d0, 2.0d0*f - 1.0d0)
g = 255.0d0 * (1.0d0 - abs(2.0d0*f - 1.0d0))
b = 255.0d0 * max(0.0d0, 1.0d0 - 2.0d0*f)
! mix with white to make pastel
r = int(r + pastel_scale*(255 - r) + 0.5d0)
g = int(g + pastel_scale*(255 - g) + 0.5d0)
b = int(b + pastel_scale*(255 - b) + 0.5d0)
rgbval = rgb@(r,g,b)
end function colour_ramp2
subroutine set_pl_margins(L,T,R,B)
integer, intent(in) :: L,T,R,B
character(len=120) :: margintxt
character(len=*), parameter :: fmt1 = '(A,I4,A,I4,A,I4,A,I4,A)'
write(margintxt,fmt1) "%pl[margin=(",L,",",T,",",R,",",B,")]"
call winop@(margintxt)
end subroutine set_pl_margins
end module ex31_a_mod
An AI generated resume of the code follows:
*At a high level, this module implements a software-rendered surface plot on top of ClearWin+’s %pl plotting control. The public entry point, surface_plot, takes regularly spaced x, y, and z arrays, computes their ranges, and configures a ClearWin plotting window whose size is chosen to preserve the data aspect ratio while fitting comfortably within the screen. The input arrays are copied into module-level allocatables (xc, yc, zc) so they become accessible to all module procedures. The %pl control is set up with axes, gridlines, margins, and an optional title, but the actual drawing of the surface is delegated to the callback attached to the %pl.
The real work happens inside the plot callback pl_cb, which is triggered when ClearWin requests an adjustment or redraw (CALLBACK_REASON = 'PLOT_ADJUST').
Instead of drawing a surface mesh, the callback iterates over screen pixels in the plot region. For each pixel that is still background white, it converts pixel coordinates back into data coordinates using get_plot_data@. Given an (x,y) location in data space, it evaluates the surface height by bilinear interpolation on the original grid (z_bilinear), ensuring smooth shading even though the underlying data are discrete. The interpolated z value is then mapped to a colour via colour_ramp2, and the pixel is filled using draw_filled_rectangle@ (a fast, single-pixel fill). The result is a rasterised, colour-shaded surface plot that respects the axes and scaling of the %pl control, but gives you full control over interpolation and colouring.
Supporting routines: bin_search locates the enclosing grid cell for a given coordinate (in logarithmic time), which keeps the per-pixel interpolation cost low even for large grids. z_bilinear performs the standard four-corner interpolation in a way that is consistent with Fortran’s column-major storage (z(i,j) corresponding to x(i), y(j)). Finally, colour_ramp2 converts scalar values into a smooth pastel colour ramp, clamping values safely to the data range.
Taken together, the module cleanly separates window/layout logic, coordinate transforms, interpolation, and colour mapping, which is why the surface plot behaves smoothly and predictably despite being entirely user-drawn.*
If you run the code you should get something that looks like this:
👁 Screenshot 2026-02-10 214736.jpg
For this to work you need Z(:,:) to be fully populated with no missing data. So you either have to do something clever before calling the surface_plot routine to "paper over the gaps". Some type of interpolation, or set the elements of the Z array where data is missing to an appropriate sentinel value e.g. 10.0E300 and do something clever in the z_bilinear function. If any one of x1, x2, y1, or y2 in the z_bilinear function after the two calls to bin_search is this sentinel value, you could set the return value to the sentinel and immediately return (i.e. skip the bilinear step completely), and when the pl_cb gets the returned value back check if its the sentinel value. If it is you could fill the pixel black or cycle the do loop (leaving the pixel white), otherwise colour the pixel as normal as the code currently does. The black (or white) pixels make it obvious where there is no available data to render.
With a bit more practice and about 1500 lines of extra code you can get to the following plot for the same input data:
👁 Screenshot 2026-02-10 223045.jpg
This second plot is also based on %pl and the use of its call back function, there's just many more steps in the process. The sample code above is sufficient to get you started. You will have to read the help file on the %pl native and the cwplus.enh file to get the full information on the %pl capabilities.
10 Feb 2026 23:32GMT
(Edited: 11 Feb 2026 00:06GMT)
#32807
Lester,
Upon reflection using a sentinel value is not a good idea, as that potentially adds complications and possible errors to other things you might want to do with the input data in terms of plotting. Would almost certainly break more things that it fixed if I was to apply it to my contouring subroutine.
An alternative would be a logical mask array the same size as z(:,:) set to .true, or .false. to indicate if the value is correct or missing/erroneous. This mask could be populated before and passed as an additional argument (possibly optional) when calling surface_plot.
Then use that mask to direct the flow through the code. Why? Obviously a very large sentinel value will corrupt a calculation such as z_range = maxval(z) – minval(z), so corrupting the colour ramp calculation. With a mask this problem can be easily avoided. Similarly the mask could be used within the z_bilinear function.
Perhaps I should add this to my own routines. Food for thought - Thanks!
11 Feb 2026 01:10GMT
(Edited: 11 Feb 2026 01:12GMT)
#32808
Sometimes it's easier to write the code rather than put the words in a post. You should see random black holes in the plot when you run this.
use clrwin
implicit none
private
public surface_plot
real*8 :: xmin,xmax,ymin,ymax,zmin,zmax
integer :: screen_width, screen_depth
integer :: mleft, mtop, mright, mbottom
integer :: max_frame_h, max_frame_w
integer :: frame_w, frame_h
integer :: graphics_width, graphics_depth
real*8 :: data_aspect, max_h, max_w
real*8, allocatable :: xc(:), yc(:), zc(:,:)
logical, allocatable :: mc(:,:)
contains
integer function surface_plot(x,y,z,M,title)
real*8, intent(in) :: x(:), y(:), z(:,:)
logical, intent(in) :: M(:,:)
character(len=*), intent(in), optional :: title
integer :: iw, i, j
logical :: first
xmin = minval(x) ; xmax = maxval(x)
ymin = minval(y) ; ymax = maxval(y)
! --- masked zmin/zmax ---
first = .true.
do j = 1, size(z,2)
do i = 1, size(z,1)
if (M(i,j)) then
if (first) then
zmin = z(i,j)
zmax = z(i,j)
first = .false.
else
zmin = min(zmin, z(i,j))
zmax = max(zmax, z(i,j))
end if
end if
end do
end do
print*, 'zmin = ', zmin
print*, 'zmax = ', zmax
allocate( xc(size(x)), yc(size(y)), &
zc(size(z,1),size(z,2)), &
mc(size(z,1),size(z,2)) )
xc = x ; yc = y ; zc = z ; mc = M
screen_width = clearwin_info@('SCREEN_WIDTH')
screen_depth = clearwin_info@('SCREEN_DEPTH')
data_aspect = (xmax - xmin)/(ymax - ymin)
max_w = 0.85d0 * dble(screen_width)
max_h = 0.80d0 * dble(screen_depth)
mleft = screen_width/12
mtop = mleft/2
mright = mleft
mbottom = mleft/2
max_frame_w = max_w - (mleft + mright)
max_frame_h = max_h - (mtop + mbottom)
frame_w = int(max_frame_w)
frame_h = int(frame_w / data_aspect)
if (frame_h > int(max_frame_h)) then
frame_h = int(max_frame_h)
frame_w = int(frame_h * data_aspect)
end if
graphics_width = frame_w + mleft + mright
graphics_depth = frame_h + mtop + mbottom
iw = winio@('%fn[Arial]%ts%bf%bg&',1.2d0,rgb@(220,220,220))
call winop@('%pl[native,n_graphs=1,x_array,frame,link=user]')
call winop@('%pl[axes_pen=2,frame_pen=2,gridlines]')
call winop_flt@('%pl[x_min]',xmin)
call winop_flt@('%pl[x_max]',xmax)
call winop_flt@('%pl[y_min]',ymin)
call winop_flt@('%pl[y_max]',ymax)
call set_pl_margins(mleft, mtop, mright, mbottom)
if (present(title)) call winop_str@('%pl[title]', '"'//title//'"')
iw = winio@('%^pl&',graphics_width, graphics_depth,2, &
[0.d0,1.d0],[0.d0,1.d0],pl_cb)
iw = winio@('')
deallocate(xc,yc,zc,mc)
surface_plot = 2
end function surface_plot
integer function pl_cb()
integer :: ixmin,ixmax,iymin,iymax
integer :: i,j,k,val,iz
integer(2) :: i2,j2
integer :: iwhite, iblack
real*8 :: rxmin,rxmax,rymin,rymax,x,y,z
logical :: ok
if (clearwin_string@('CALLBACK_REASON') == 'PLOT_ADJUST') then
iwhite = rgb@(255,255,255)
iblack = rgb@(0,0,0)
k = get_plot_point@(xmin,ymin,rxmin,rymin)
k = get_plot_point@(xmax,ymax,rxmax,rymax)
ixmin = nint(rxmin) ; ixmax = nint(rxmax)
iymin = nint(rymin) ; iymax = nint(rymax)
do i = ixmin, ixmax
do j = iymin, iymax, -1
i2 = i ; j2 = j
call get_rgb_value@(i2,j2,val)
if (val == iwhite) then
k = get_plot_data@(i,j,x,y)
if (k == 0) then
z = z_bilinear(xc,yc,zc,mc,x,y,ok)
! If OK .TRUE. draw pixel normally
! if OK .FALSE. set pixel to BLACK
if (ok) then
iz = colour_ramp2(z,zmin,zmax)
else
iz = iblack
end if
call draw_filled_rectangle@(i,j,i,j,iz)
end if
end if
end do
end do
end if
pl_cb = 2
end function pl_cb
function z_bilinear(x,y,z,m,xt,yt,ok) result(zval)
real*8, intent(in) :: x(:), y(:), z(:,:), xt, yt
logical, intent(in) :: m(:,:)
logical, intent(out) :: ok
real*8 :: zval
integer :: i,j
real*8 :: x1,x2,y1,y2,z11,z21,z12,z22,tx,ty
i = bin_search(x,xt) ; j = bin_search(y,yt)
if (.not.( m(i,j) .and. m(i+1,j) .and. m(i,j+1) .and. m(i+1,j+1) )) then
ok = .false.
zval = 0.d0
return
end if
ok = .true.
x1 = x(i) ; x2 = x(i+1)
y1 = y(j) ; y2 = y(j+1)
z11 = z(i, j ) ; z21 = z(i+1,j )
z12 = z(i, j+1) ; z22 = z(i+1,j+1)
tx = (xt - x1)/(x2 - x1)
ty = (yt - y1)/(y2 - y1)
zval = (1.d0-tx)*(1.d0-ty)*z11 + &
tx *(1.d0-ty)*z21 + &
(1.d0-tx)*ty *z12 + &
tx *ty *z22
end function z_bilinear
integer function bin_search(vec,val)
real*8, intent(in) :: vec(:), val
integer :: lo,hi,mid
lo = 1 ; hi = size(vec)-1
do while (lo <= hi)
mid = (lo+hi)/2
if (val < vec(mid)) then
hi = mid-1
else if (val > vec(mid+1)) then
lo = mid+1
else
bin_search = mid
return
end if
end do
bin_search = max(1,min(size(vec)-1,lo))
end function bin_search
integer function colour_ramp2(z,zmin,zmax)
real*8, intent(in) :: z,zmin,zmax
integer :: r,g,b
real*8 :: f
real*8, parameter :: pastel_scale = 0.125d0
f = (z-zmin)/(zmax-zmin)
f = max(0.d0,min(1.d0,f))
r = 255*max(0.d0,2.d0*f-1.d0)
g = 255*(1.d0-abs(2.d0*f-1.d0))
b = 255*max(0.d0,1.d0-2.d0*f)
r = int(r + pastel_scale*(255-r) + 0.5d0)
g = int(g + pastel_scale*(255-g) + 0.5d0)
b = int(b + pastel_scale*(255-b) + 0.5d0)
colour_ramp2 = rgb@(r,g,b)
end function colour_ramp2
subroutine set_pl_margins(L,T,R,B)
integer, intent(in) :: L,T,R,B
character(len=120) :: txt
write(txt,'(A,I4,A,I4,A,I4,A,I4,A)') &
"%pl[margin=(",L,",",T,",",R,",",B,")]"
call winop@(txt)
end subroutine set_pl_margins
end module ex31_a_mod_rev
program ex31_a_rev
use ex31_a_mod_rev
implicit none
integer, parameter :: n = 40
real*8 :: x(n), y(n)
real*8 :: z(n,n)
integer :: i, j
logical :: M(n,n)
character(len=1) :: c
! Coordinates
call linspaceD(-3.d0,3.d0,x)
call linspaceD(-2.d0,2.d0,y)
! z(i,j) = f(x(i), y(j))
do j = 1, n ! columns (y)
do i = 1, n ! rows (x)
z(i,j) = peaks(x(i),y(j))
end do
end do
! Generate a random MASK mostly .TRUE, but sometimes .FALSE.
! Six blocks false max size 8 points each
call populate_blocks(M, 6, 25)
! Print M the MASK to terminal
do j = n, 1, -1 ! or 1,ny depending on how you view the grid
do i = 1, n
if (M(i,j)) then
c = 'T'
else
c = 'F'
end if
write(*,'(A)', advance='no') c
end do
write(*,*) ! newline at end of row
end do
! Deliberately set values in Z(i,j) that correspond to M(i,j) = .FALSE to huge(1.d0)
! Do this to check that the .FALSE. values not used in zmin and zmax calculation.
do j = 1, size(Z,2)
do i = 1, size(Z,1)
if (.not. M(i,j)) then
Z(i,j) = huge(1.0d0)
end if
end do
end do
i = surface_plot(x, y, z, M, &
title='Matlab Peaks Function')
contains
pure subroutine linspaceD(first, last, seq)
!---------------------------------------------------------------
! Generates an array of equally spaced values between specified
! first and last values.
! - first : (IN) First value in the sequence (REAL*8)
! - last : (IN) Last value in the sequence (REAL*8)
! - seq : (OUT) Output array storing the sequence (REAL*8,
! assumed-shape)
!-----------------------------------------------------------------
integer, parameter :: wp = kind(1.d0)
real(kind=wp), intent(in) :: first
real(kind=wp), intent(in) :: last
real(kind=wp), intent(out) :: seq(:)
integer :: n, k
real(kind=wp) :: step
n = size(seq)
if (n .lt. 1) return
if (n .eq. 1) then
seq(1) = first ; return
end if
step = (last - first) / real(n - 1, kind=wp)
do k = 1, n
seq(k) = first + (k - 1) * step
end do
end subroutine linspaceD
function peaks (x,y) result (val)
real*8, intent(in) :: x, y
real*8 :: val
val = 3.d0*(1.d0 - x)**2 * exp( -x**2 - (y+1.d0)**2 ) &
- 10.d0*(x/5.d0 - x**3 - y**5) * exp( -x**2 - y**2 ) &
- (1.d0/3.d0) * exp( -(x+1.d0)**2 - y**2 )
end function peaks
subroutine populate_blocks(M, nblocks, max_block)
!----------------------------------------------------------------------
! Populate a logical array with mostly .TRUE. values and a small number
! of randomly placed contiguous blocks of .FALSE. cells.
! The array is initialised to .TRUE., then each block is generated by a
! random walk starting from a random cell, producing organically shaped
! connected regions of .FALSE. values.
! Arguments:
! M Logical array to populate
! nx, ny Dimensions of the array
! nblocks Number of .FALSE. blocks to generate
! max_block Maximum number of cells in each block
!----------------------------------------------------------------------
implicit none
integer, intent(in) :: nblocks
integer, intent(in) :: max_block
logical, intent(out) :: M(:,:)
integer :: b, k, i, j, dir, bi, bj, nx, ny
real*8 :: r
nx = size(M,dim=1)
ny = size(M,dim=2)
call random_seed()
! Start with everything TRUE
M = .true.
do b = 1, nblocks
! Random starting point
call random_number(r); bi = 1 + int(r * nx)
call random_number(r); bj = 1 + int(r * ny)
i = bi
j = bj
do k = 1, max_block
if (i < 1 .or. i > nx .or. j < 1 .or. j > ny) exit
M(i, j) = .false.
! Random step: 1=up, 2=down, 3=left, 4=right
call random_number(r)
dir = 1 + int(4.0*r)
select case (dir)
case (1); i = i + 1
case (2); i = i - 1
case (3); j = j + 1
case (4); j = j - 1
end select
end do
end do
end subroutine populate_blocks
end program ex31_a_rev
arctica
Posts: 169
United Kingdom
11 Feb 2026 16:40GMT
#32812
Thanks for the code Ken. Managed to get the plot working
program read_asc
use asc_reader
use ex31_a_mod_rev
implicit none
integer :: nc, nr, iw
real*8, allocatable :: X(:,:), Y(:,:), Z(:,:)
logical, allocatable :: M(:,:)
real*8, allocatable :: xv(:), yv(:)
! Read the ESRI ASCII grid. Read header to get geometry and limits; scan z-grid
call asc_2_xyz('ARG_test.asc', X, Y, Z, nc, nr)
allocate(xv(nc), yv(nr))
xv = X(1, :)
yv = Y(:, 1)
allocate(M(nr,nc))
M = .true. ! all cells have values in this test case (not always true)
iw = surface_plot(xv, yv, transpose(Z), transpose(M), title='Free-air gravity: Argentine Basin')
! Simple checks to verify the data orientation
print *, 'File: ARG_test.asc'
print *, 'Grid size (rows, cols): ', nr, nc
print *, 'coordinate checks (Z values):'
print *, 'Top left:'
print *, ' Z = ', Z(nr,1)
print *, ' X,Y = ', X(nr,1), Y(nr,1) ! validate the coordinates match the input
print *, 'Top right:'
print *, ' Z = ', Z(nr,nc)
print *, ' X,Y = ', X(nr,nc), Y(nr,nc)
print *, 'Bottom left:'
print *, ' Z = ', Z(1,1)
print *, ' X,Y = ', X(1,1), Y(1,1)
print *, 'Bottom right:'
print *, ' Z = ', Z(1,nc)
print *, ' X,Y = ', X(1,nc), Y(1,nc)
! Check the new written file to ensure it matches the input
call xyz_2_asc('test_out.asc', X, Y, Z, -9999)
end program read_asc
Had to ensure all reals are real*8 in the ascii raster read/write module and pass 1D arrays to surface_plot. Seems to be working fine; quite slow to plot. It is a good exercise in reading and writing data. and also plotting using Clearwin+. Thanks for the guidance.
Lester
12 Feb 2026 14:01GMT
#32814
Yes, it is relatively slow due to the pixel by pixel colour assignment which also requires an bilinear interpolation at each pixel, but it works for any number of data points in the x and y directions, i.e. it does not matter if you have more or less data points than you have pixels in each direction.
If you were to colour the pixel nearest to your data point, and there were less data points than pixels in the x and y directions – you would get gaps in the plot. So you would need to colour larger rectangles (fewer draw calls so faster) to fill these but with a lot more bookkeeping required to keep track of everything. Also the logic required to prevent not overdrawing tick marks and grid lines get a lot more complicated.
With more data points than pixels you have the opposite problem. Then a nearest neighbour rather than bilinear interpolation is slightly faster for getting the z value to plot, but it’s the pixel colour assignment via the draw operation that’s the bottleneck.
So it's simple, but not fast!
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