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create_movie_GMT.f90
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create_movie_GMT.f90
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!=====================================================================
!
! S p e c f e m 3 D G l o b e V e r s i o n 3 . 3
! ---------------------------------------
!
! Dimitri Komatitsch and Jeroen Tromp
! Seismological Laboratory - California Institute of Technology
! (c) California Institute of Technology September 2002
!
! This program is free software; you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation; either version 2 of the License, or
! (at your option) any later version.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License along
! with this program; if not, write to the Free Software Foundation, Inc.,
! 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
!
!=====================================================================
!
!--- create a movie of vertical component of surface displacement or velocity
!--- in AVS or OpenDX format
!
program create_movie_GMT
implicit none
include 'constants.h'
character(len=100) movie_data_prefix, start_frame, end_frame, &
output_file_prefix
integer ios1, ios2, nspectot_AVS_max
! threshold in percent of the maximum below which we cut the amplitude
logical, parameter :: APPLY_THRESHOLD = .false.
real(kind=CUSTOM_REAL), parameter :: THRESHOLD = 1._CUSTOM_REAL / 100._CUSTOM_REAL
! coefficient of power law used for non linear scaling
logical, parameter :: NONLINEAR_SCALING = .false.
real(kind=CUSTOM_REAL), parameter :: POWER_SCALING = 0.5_CUSTOM_REAL
integer it,it1,it2,ivalue,ispec
integer nframes,iframe,inorm
integer ibool_number
logical plot_shaking_map
real(kind=CUSTOM_REAL), dimension(:,:), allocatable :: x,y,z,display
real(kind=CUSTOM_REAL) xcoord,ycoord,zcoord
real(kind=CUSTOM_REAL) vectorx,vectory,vectorz
double precision min_field_current,max_field_current
character(len=150) outputname
integer iproc,ipoin
! GMT
double precision lat,long,zscaling
integer igmt
! for sorting routine
integer npointot,ilocnum,nglob,i,j,ielm,ieoff,ispecloc
integer, dimension(:), allocatable :: iglob,loc,ireorder
logical, dimension(:), allocatable :: ifseg,mask_point
double precision, dimension(:), allocatable :: xp,yp,zp,xp_save,yp_save,zp_save,field_display
! movie files stored by solver
real(kind=CUSTOM_REAL), dimension(:,:), allocatable :: &
store_val_x,store_val_y,store_val_z, &
store_val_ux,store_val_uy,store_val_uz
! parameters read from parameter file
integer NER_SEDIM,NER_BASEMENT_SEDIM,NER_16_BASEMENT, &
NER_MOHO_16,NER_BOTTOM_MOHO,NEX_ETA,NEX_XI, &
NPROC_ETA,NPROC_XI,NTSTEP_BETWEEN_OUTPUT_SEISMOS,NSTEP,UTM_PROJECTION_ZONE
integer NSOURCES
double precision UTM_X_MIN,UTM_X_MAX,UTM_Y_MIN,UTM_Y_MAX,Z_DEPTH_BLOCK,HDUR_MOVIE
double precision DT,LATITUDE_MIN,LATITUDE_MAX,LONGITUDE_MIN,LONGITUDE_MAX
double precision THICKNESS_TAPER_BLOCK_HR,THICKNESS_TAPER_BLOCK_MR,VP_MIN_GOCAD,VP_VS_RATIO_GOCAD_TOP,VP_VS_RATIO_GOCAD_BOTTOM
logical HARVARD_3D_GOCAD_MODEL,TOPOGRAPHY,ATTENUATION,USE_OLSEN_ATTENUATION, &
OCEANS,IMPOSE_MINIMUM_VP_GOCAD,HAUKSSON_REGIONAL_MODEL, &
BASEMENT_MAP,MOHO_MAP_LUPEI,ABSORBING_CONDITIONS
logical ANISOTROPY,SAVE_MESH_FILES,PRINT_SOURCE_TIME_FUNCTION,USE_REGULAR_MESH,SUPPRESS_UTM_PROJECTION
logical MOVIE_SURFACE,MOVIE_VOLUME,CREATE_SHAKEMAP,SAVE_DISPLACEMENT,USE_HIGHRES_FOR_MOVIES
logical SAVE_FORWARD
integer NTSTEP_BETWEEN_FRAMES,NTSTEP_BETWEEN_OUTPUT_INFO,SIMULATION_TYPE
character(len=150) LOCAL_PATH,MODEL
! parameters deduced from parameters read from file
integer NPROC,NEX_PER_PROC_XI,NEX_PER_PROC_ETA
integer NER
integer NSPEC_AB,NSPEC2D_A_XI,NSPEC2D_B_XI, &
NSPEC2D_A_ETA,NSPEC2D_B_ETA, &
NSPEC2DMAX_XMIN_XMAX,NSPEC2DMAX_YMIN_YMAX, &
NSPEC2D_BOTTOM,NSPEC2D_TOP, &
NPOIN2DMAX_XMIN_XMAX,NPOIN2DMAX_YMIN_YMAX,NGLOB_AB
double precision max_all_frames
! ************** PROGRAM STARTS HERE **************
call getarg(1,movie_data_prefix)
call getarg(2,start_frame)
call getarg(3,end_frame)
call getarg(4,output_file_prefix)
if (trim(movie_data_prefix) == '' &
.or. trim(start_frame) == '' .or. trim(end_frame) == '' &
.or. trim(output_file_prefix) == '') &
stop 'Usage: xcreate_movie_GMT movie_data_prefix start_frame end_frame output_file_prefix'
read(start_frame, *,iostat=ios1) it1
read(end_frame, *, iostat=ios2) it2
if (ios1 /= 0 .or. ios2 /= 0) stop 'Error reading start_frame and end_frame'
! read the parameter file
call read_parameter_file(LATITUDE_MIN,LATITUDE_MAX,LONGITUDE_MIN,LONGITUDE_MAX, &
UTM_X_MIN,UTM_X_MAX,UTM_Y_MIN,UTM_Y_MAX,Z_DEPTH_BLOCK, &
NER_SEDIM,NER_BASEMENT_SEDIM,NER_16_BASEMENT,NER_MOHO_16,NER_BOTTOM_MOHO, &
NEX_XI,NEX_ETA,NPROC_XI,NPROC_ETA,NTSTEP_BETWEEN_OUTPUT_SEISMOS,NSTEP,UTM_PROJECTION_ZONE,DT, &
ATTENUATION,USE_OLSEN_ATTENUATION,HARVARD_3D_GOCAD_MODEL,TOPOGRAPHY,LOCAL_PATH,NSOURCES, &
THICKNESS_TAPER_BLOCK_HR,THICKNESS_TAPER_BLOCK_MR,VP_MIN_GOCAD,VP_VS_RATIO_GOCAD_TOP,VP_VS_RATIO_GOCAD_BOTTOM, &
OCEANS,IMPOSE_MINIMUM_VP_GOCAD,HAUKSSON_REGIONAL_MODEL,ANISOTROPY, &
BASEMENT_MAP,MOHO_MAP_LUPEI,ABSORBING_CONDITIONS, &
MOVIE_SURFACE,MOVIE_VOLUME,CREATE_SHAKEMAP,SAVE_DISPLACEMENT, &
NTSTEP_BETWEEN_FRAMES,USE_HIGHRES_FOR_MOVIES,HDUR_MOVIE, &
SAVE_MESH_FILES,PRINT_SOURCE_TIME_FUNCTION,NTSTEP_BETWEEN_OUTPUT_INFO, &
SUPPRESS_UTM_PROJECTION,MODEL,USE_REGULAR_MESH,SIMULATION_TYPE,SAVE_FORWARD)
! compute other parameters based upon values read
call compute_parameters(NER,NEX_XI,NEX_ETA,NPROC_XI,NPROC_ETA, &
NPROC,NEX_PER_PROC_XI,NEX_PER_PROC_ETA, &
NER_BOTTOM_MOHO,NER_MOHO_16,NER_16_BASEMENT,NER_BASEMENT_SEDIM,NER_SEDIM, &
NSPEC_AB,NSPEC2D_A_XI,NSPEC2D_B_XI, &
NSPEC2D_A_ETA,NSPEC2D_B_ETA, &
NSPEC2DMAX_XMIN_XMAX,NSPEC2DMAX_YMIN_YMAX,NSPEC2D_BOTTOM,NSPEC2D_TOP, &
NPOIN2DMAX_XMIN_XMAX,NPOIN2DMAX_YMIN_YMAX,NGLOB_AB,USE_REGULAR_MESH)
print *
print *,'There are ',NPROC,' slices numbered from 0 to ',NPROC-1
print *
print *, 'DT = ', DT , ' NSTEP = ', NSTEP
print *
if(SAVE_DISPLACEMENT) then
print *,'Vertical displacement will be shown in the movie'
else
print *,'Vertical velocity will be shown in the movie'
endif
print *
if(USE_HIGHRES_FOR_MOVIES) then
ilocnum = NGLLSQUARE*NEX_PER_PROC_XI*NEX_PER_PROC_ETA
else
ilocnum = NGNOD2D_AVS_DX*NEX_PER_PROC_XI*NEX_PER_PROC_ETA
endif
allocate(store_val_x(ilocnum,0:NPROC-1))
allocate(store_val_y(ilocnum,0:NPROC-1))
allocate(store_val_z(ilocnum,0:NPROC-1))
allocate(store_val_ux(ilocnum,0:NPROC-1))
allocate(store_val_uy(ilocnum,0:NPROC-1))
allocate(store_val_uz(ilocnum,0:NPROC-1))
zscaling = 0.
if(it1 == -1) then
plot_shaking_map = .true.
nframes = 1
it1 = 1
inorm = it2
if(inorm < 1 .or. inorm > 3) stop 'incorrect value of inorm'
it2 = 1
else
plot_shaking_map = .false.
print *,'movie frames have been saved every ',NTSTEP_BETWEEN_FRAMES,' time steps'
print *
print *
print *,'looping from ',it1,' to ',it2,' frame'
! count number of movie frames
nframes = 0
do it = it1,it2
nframes = nframes + 1
enddo
print *
print *,'total number of frames will be ',nframes
if(nframes == 0) stop 'null number of frames'
max_all_frames = -100.0
endif
! define the total number of elements at the surface
if(USE_HIGHRES_FOR_MOVIES) then
nspectot_AVS_max = NEX_XI * NEX_ETA * (NGLLX-1) * (NGLLY-1)
else
nspectot_AVS_max = NEX_XI * NEX_ETA
endif
print *
print *,'there are a total of ',nspectot_AVS_max,' elements at the surface'
print *
! maximum theoretical number of points at the surface
npointot = NGNOD2D_AVS_DX * nspectot_AVS_max
! allocate arrays for sorting routine
allocate(iglob(npointot),loc(npointot))
allocate(ifseg(npointot))
allocate(xp(npointot),yp(npointot),zp(npointot))
allocate(xp_save(npointot),yp_save(npointot),zp_save(npointot))
allocate(field_display(npointot))
allocate(mask_point(npointot))
allocate(ireorder(npointot))
! --------------------------------------
if(USE_HIGHRES_FOR_MOVIES) then
allocate(x(NGLLX,NGLLY))
allocate(y(NGLLX,NGLLY))
allocate(z(NGLLX,NGLLY))
allocate(display(NGLLX,NGLLY))
endif
iframe = 0
! loop on all the time steps in the range entered
do it = it1,it2
! check if time step corresponds to a movie frame
iframe = iframe + 1
ivalue = it * NTSTEP_BETWEEN_FRAMES
print *, 'ivalue = ' ,ivalue
if(plot_shaking_map) then
print *,'reading shaking map snapshot'
else
print *,'reading snapshot frame ',it,' out of ',NSTEP/NTSTEP_BETWEEN_FRAMES
endif
print *
! read all the elements from the same file
if(plot_shaking_map) then
write(outputname,"('/shakingdata')")
else
write(outputname,"('/moviedata',i6.6)") ivalue
endif
outputname = trim(movie_data_prefix) // trim(outputname)
open(unit=IOUT,file=outputname,status='old',form='unformatted',iostat=ios1)
if (ios1 /= 0) then
print *, 'Error opening file ', trim(outputname)
stop
else
print *, 'reading file ', trim(outputname)
endif
read(IOUT) store_val_x
read(IOUT) store_val_y
read(IOUT) store_val_z
read(IOUT) store_val_ux
read(IOUT) store_val_uy
read(IOUT) store_val_uz
close(IOUT)
! print *, store_val_x(1,0), store_val_y(1,0)
! call utm_geo(long,lat,dble(minval(store_val_x)),dble(minval(store_val_y)), &
! UTM_PROJECTION_ZONE,IUTM2LONGLAT,SUPPRESS_UTM_PROJECTION)
! print *
! print *, 'min long = ', long, ' min y = ', lat
! call utm_geo(long,lat,dble(maxval(store_val_x)),dble(maxval(store_val_y)), &
! UTM_PROJECTION_ZONE,IUTM2LONGLAT,SUPPRESS_UTM_PROJECTION)
! print *
! print *, 'max long = ', long, ' max lat = ', lat
! clear number of elements kept
ispec = 0
! read points for all the slices
do iproc = 0,NPROC-1
! reset point number
ipoin = 0
do ispecloc = 1,NEX_PER_PROC_XI*NEX_PER_PROC_ETA
if(USE_HIGHRES_FOR_MOVIES) then
! assign the OpenDX "elements"
do j = 1,NGLLY
do i = 1,NGLLX
ipoin = ipoin + 1
xcoord = store_val_x(ipoin,iproc)
ycoord = store_val_y(ipoin,iproc)
zcoord = store_val_z(ipoin,iproc)
! amplify topography, otherwise too flat to see anything
zcoord = zcoord * zscaling
vectorx = store_val_ux(ipoin,iproc)
vectory = store_val_uy(ipoin,iproc)
vectorz = store_val_uz(ipoin,iproc)
x(i,j) = xcoord
y(i,j) = ycoord
z(i,j) = zcoord
if(plot_shaking_map) then
if(inorm == 1) then
display(i,j) = vectorx
else if(inorm == 2) then
display(i,j) = vectory
else
display(i,j) = vectorz
endif
else
display(i,j) = vectorz
endif
enddo
enddo
! assign the values of the corners of the OpenDX "elements"
ispec = ispec + 1
ielm = (NGLLX-1)*(NGLLY-1)*(ispec-1)
do j = 1,NGLLY-1
do i = 1,NGLLX-1
ieoff = NGNOD2D_AVS_DX*(ielm+(i-1)+(j-1)*(NGLLX-1))
do ilocnum = 1,NGNOD2D_AVS_DX
if(ilocnum == 1) then
xp(ieoff+ilocnum) = dble(x(i,j))
yp(ieoff+ilocnum) = dble(y(i,j))
zp(ieoff+ilocnum) = dble(z(i,j))
field_display(ieoff+ilocnum) = dble(display(i,j))
elseif(ilocnum == 2) then
xp(ieoff+ilocnum) = dble(x(i+1,j))
yp(ieoff+ilocnum) = dble(y(i+1,j))
zp(ieoff+ilocnum) = dble(z(i+1,j))
field_display(ieoff+ilocnum) = dble(display(i+1,j))
elseif(ilocnum == 3) then
xp(ieoff+ilocnum) = dble(x(i+1,j+1))
yp(ieoff+ilocnum) = dble(y(i+1,j+1))
zp(ieoff+ilocnum) = dble(z(i+1,j+1))
field_display(ieoff+ilocnum) = dble(display(i+1,j+1))
else
xp(ieoff+ilocnum) = dble(x(i,j+1))
yp(ieoff+ilocnum) = dble(y(i,j+1))
zp(ieoff+ilocnum) = dble(z(i,j+1))
field_display(ieoff+ilocnum) = dble(display(i,j+1))
endif
enddo
enddo
enddo
! low resolution movie/shakemap
else
ispec = ispec + 1
ieoff = NGNOD2D_AVS_DX*(ispec-1)
! four points for each element
do ilocnum = 1,NGNOD2D_AVS_DX
ipoin = ipoin + 1
xcoord = store_val_x(ipoin,iproc)
ycoord = store_val_y(ipoin,iproc)
zcoord = store_val_z(ipoin,iproc)
! amplify topography, otherwise too flat to see anything
zcoord = zcoord * zscaling
vectorx = store_val_ux(ipoin,iproc)
vectory = store_val_uy(ipoin,iproc)
vectorz = store_val_uz(ipoin,iproc)
xp(ilocnum+ieoff) = dble(xcoord)
yp(ilocnum+ieoff) = dble(ycoord)
zp(ilocnum+ieoff) = dble(zcoord)
! show vertical component of displacement or velocity in the movie
! or show norm of vector if shaking map
! for shaking map, norm of U stored in ux, V in uy and A in uz
if(plot_shaking_map) then
if(inorm == 1) then
field_display(ilocnum+ieoff) = dble(vectorx)
else if(inorm == 2) then
field_display(ilocnum+ieoff) = dble(vectory)
else
field_display(ilocnum+ieoff) = dble(vectorz)
endif
else
field_display(ilocnum+ieoff) = dble(vectorz)
endif
enddo
endif
enddo
enddo
! copy coordinate arrays since the sorting routine does not preserve them
xp_save(:) = xp(:)
yp_save(:) = yp(:)
zp_save(:) = zp(:)
!--- sort the list based upon coordinates to get rid of multiples
print *,'sorting list of points'
call get_global_AVS(nspectot_AVS_max,xp,yp,zp,iglob,loc,ifseg,nglob,npointot,UTM_X_MIN,UTM_X_MAX)
!--- print total number of points found
print *
print *,'found a total of ',nglob,' points'
print *,'initial number of points (with multiples) was ',npointot
!--- normalize and scale vector field
! compute min and max of data value to normalize
min_field_current = minval(field_display(:))
max_field_current = maxval(field_display(:))
if (max_field_current > max_all_frames) max_all_frames = max_field_current
! print minimum and maximum amplitude in current snapshot
print *
print *,'minimum amplitude in current snapshot = ',min_field_current
print *,'maximum amplitude in current snapshot = ',max_field_current
print *
! comment out the following to try to retain the original value of the shakemap
! if(plot_shaking_map) then
! normalize field to [0:1]
! field_display(:) = field_display(:) / max_field_current
! apply non linear scaling to normalized field
! field_display = field_display ** POWER_SCALING
! map field to [0:255] for AVS color scale
! field_display(:) = 255. * field_display(:)
! endif
!--- ****** create AVS file using sorted list ******
! create file name and open file
if(plot_shaking_map) then
write(outputname,"('/gmt_shaking_map.xyz')")
open(unit=11,file=trim(output_file_prefix)//outputname,status='unknown',iostat=ios1)
else
write(outputname,"('/gmt_movie_',i6.6,'.xyz')") it
outputname = trim(output_file_prefix) //trim(outputname)
call system('\rm -f ' // trim(outputname))
open(unit=11,file=outputname,status='unknown')!,form='unformatted',access='direct',recl = 3 * 8,iostat=ios1)
endif
if (ios1 /= 0) stop 'Error opening output file'
igmt = 1
! output list of points
mask_point = .false.
do ispec=1,nspectot_AVS_max
ieoff = NGNOD2D_AVS_DX*(ispec-1)
! four points for each element
do ilocnum = 1,NGNOD2D_AVS_DX
ibool_number = iglob(ilocnum+ieoff)
if(.not. mask_point(ibool_number)) then
call utm_geo(long,lat,xp_save(ilocnum+ieoff),yp_save(ilocnum+ieoff), &
UTM_PROJECTION_ZONE,IUTM2LONGLAT,SUPPRESS_UTM_PROJECTION)
if (plot_shaking_map) then
write(11,*) long,lat,field_display(ilocnum+ieoff)
else
!! choose ascii or binary output file format
!write(11,rec=igmt) long,lat,field_display(ilocnum+ieoff)
write (11,'(2f10.3,e17.6)') long, lat, field_display(ilocnum+ieoff)
igmt = igmt + 1
endif
endif
mask_point(ibool_number) = .true.
enddo
enddo
print *, 'total number of record is ', igmt - 1
enddo
print *,'GMT files are stored in OUTPUT_FILES/gmt_*.xyz'
print *
print *, 'The maximum absolute value of all frames is ', max_all_frames
print *
print *
deallocate(store_val_x)
deallocate(store_val_y)
deallocate(store_val_z)
deallocate(store_val_ux)
deallocate(store_val_uy)
deallocate(store_val_uz)
! deallocate arrays for sorting routine
deallocate(iglob,loc)
deallocate(ifseg)
deallocate(xp,yp,zp)
deallocate(xp_save,yp_save,zp_save)
deallocate(field_display)
deallocate(mask_point)
deallocate(ireorder)
if(USE_HIGHRES_FOR_MOVIES) then
deallocate(x)
deallocate(y)
deallocate(z)
deallocate(display)
endif
end program create_movie_GMT
!
!=====================================================================
!
subroutine get_global_AVS(nspec,xp,yp,zp,iglob,loc,ifseg,nglob,npointot,UTM_X_MIN,UTM_X_MAX)
! this routine MUST be in double precision to avoid sensitivity
! to roundoff errors in the coordinates of the points
! leave sorting subroutines in same source file to allow for inlining
implicit none
include "constants.h"
! geometry tolerance parameter to calculate number of independent grid points
! small value for double precision and to avoid sensitivity to roundoff
double precision SMALLVALTOL
integer npointot
integer iglob(npointot),loc(npointot)
logical ifseg(npointot)
double precision xp(npointot),yp(npointot),zp(npointot)
integer nspec,nglob
integer ispec,i,j
integer ieoff,ilocnum,nseg,ioff,iseg,ig
integer, dimension(:), allocatable :: ind,ninseg,iwork
double precision, dimension(:), allocatable :: work
double precision UTM_X_MIN,UTM_X_MAX
! define geometrical tolerance based upon typical size of the model
SMALLVALTOL = 1.d-10 * dabs(UTM_X_MAX - UTM_X_MIN)
! dynamically allocate arrays
allocate(ind(npointot))
allocate(ninseg(npointot))
allocate(iwork(npointot))
allocate(work(npointot))
! establish initial pointers
do ispec=1,nspec
ieoff=NGNOD2D_AVS_DX*(ispec-1)
do ilocnum=1,NGNOD2D_AVS_DX
loc(ilocnum+ieoff)=ilocnum+ieoff
enddo
enddo
ifseg(:)=.false.
nseg=1
ifseg(1)=.true.
ninseg(1)=npointot
do j=1,NDIM
! sort within each segment
ioff=1
do iseg=1,nseg
if(j == 1) then
call rank(xp(ioff),ind,ninseg(iseg))
else if(j == 2) then
call rank(yp(ioff),ind,ninseg(iseg))
else
call rank(zp(ioff),ind,ninseg(iseg))
endif
call swap_all(loc(ioff),xp(ioff),yp(ioff),zp(ioff),iwork,work,ind,ninseg(iseg))
ioff=ioff+ninseg(iseg)
enddo
! check for jumps in current coordinate
! compare the coordinates of the points within a small tolerance
if(j == 1) then
do i=2,npointot
if(dabs(xp(i)-xp(i-1)) > SMALLVALTOL) ifseg(i)=.true.
enddo
else if(j == 2) then
do i=2,npointot
if(dabs(yp(i)-yp(i-1)) > SMALLVALTOL) ifseg(i)=.true.
enddo
else
do i=2,npointot
if(dabs(zp(i)-zp(i-1)) > SMALLVALTOL) ifseg(i)=.true.
enddo
endif
! count up number of different segments
nseg=0
do i=1,npointot
if(ifseg(i)) then
nseg=nseg+1
ninseg(nseg)=1
else
ninseg(nseg)=ninseg(nseg)+1
endif
enddo
enddo
! assign global node numbers (now sorted lexicographically)
ig=0
do i=1,npointot
if(ifseg(i)) ig=ig+1
iglob(loc(i))=ig
enddo
nglob=ig
! deallocate arrays
deallocate(ind)
deallocate(ninseg)
deallocate(iwork)
deallocate(work)
end subroutine get_global_AVS
! -----------------------------------
! sorting routines put in same file to allow for inlining
subroutine rank(A,IND,N)
!
! Use Heap Sort (Numerical Recipes)
!
implicit none
integer n
double precision A(n)
integer IND(n)
integer i,j,l,ir,indx
double precision q
do j=1,n
IND(j)=j
enddo
if (n == 1) return
L=n/2+1
ir=n
100 CONTINUE
IF (l>1) THEN
l=l-1
indx=ind(l)
q=a(indx)
ELSE
indx=ind(ir)
q=a(indx)
ind(ir)=ind(1)
ir=ir-1
if (ir == 1) then
ind(1)=indx
return
endif
ENDIF
i=l
j=l+l
200 CONTINUE
IF (J <= IR) THEN
IF (J<IR) THEN
IF ( A(IND(j))<A(IND(j+1)) ) j=j+1
ENDIF
IF (q<A(IND(j))) THEN
IND(I)=IND(J)
I=J
J=J+J
ELSE
J=IR+1
ENDIF
goto 200
ENDIF
IND(I)=INDX
goto 100
end subroutine rank
! ------------------------------------------------------------------
subroutine swap_all(IA,A,B,C,IW,W,ind,n)
!
! swap arrays IA, A, B and C according to addressing in array IND
!
implicit none
integer n
integer IND(n)
integer IA(n),IW(n)
double precision A(n),B(n),C(n),W(n)
integer i
IW(:) = IA(:)
W(:) = A(:)
do i=1,n
IA(i)=IW(ind(i))
A(i)=W(ind(i))
enddo
W(:) = B(:)
do i=1,n
B(i)=W(ind(i))
enddo
W(:) = C(:)
do i=1,n
C(i)=W(ind(i))
enddo
end subroutine swap_all