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!
!--unit test for interpolation routines
!
program test_interpolation
use projections3D
use xsections3D
implicit none
integer, parameter :: idimx = 100
integer, parameter :: idim = idimx**3
integer, parameter :: ipixx = 1000, ipixy = 1000
integer :: npart,npartx,nparty,npartz
integer :: npixx, npixy,i
real, parameter :: errtol = 1.e-7
real, dimension(idim) :: x,y,z,pmass,h,rho
real, dimension(idim) :: dat,weight
integer, dimension(idim) :: itype
real, dimension(ipixx,ipixy) :: datpix
real, dimension(0:maxcoltable) :: q,w
real :: xmin,xmax,ymin,ymax,zmin,zmax
real :: columndens,dxpix,err,dens,datmax
real :: trans(6)
logical :: ifastrender,normalise
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
itype = 0
ifastrender = .true.
print*,'accelerated rendering = ',ifastrender
call pgopen('?')
! call pgenv(xmin,xmax,ymin,ymax,0,0)
! call pglabel('x','y',' ')
! call pgpt(npart,x,y,1)
! call pgenv(xmin,xmax,ymin,ymax,0,0)
! call pglabel('y','z',' ')
! call pgpt(npart,y,z,1)
! call pgenv(xmin,xmax,ymin,ymax,0,0)
! call pglabel('x','z',' ')
! call pgpt(npart,x,z,1)
!
!--setup integrated kernel table
!
call setup_integratedkernel
!
!--check value of the integration at q=zero (can do this analytically)
!
if (abs(coltable(0)-1.5/3.1415926536).lt.errtol) then
print*,'CENTRAL KERNEL TABLE OK'
else
print*,'coltable(0) = ',coltable(0),' should be ',2.*0.75/3.1415926536
print*,'error = ',abs(coltable(0)-1.5/3.1415926536)
print*,'ERROR: CENTRAL INTEGRATED KERNEL VALUE WRONG'
endif
!
!--plot integrated kernel
!
call pgenv(0.,2.,0.,coltable(0)*1.1,0,0)
call pglabel('r','int W',' ')
print*,'radkernel = ',radkernel
do i=0,50
q(i) = i*radkernel/50.
!print*,q(i)
w(i) = wfromtable(q(i)*q(i))
enddo
call pgsci(3)
call pgline(50,q,w)
! do i=1,maxcoltable
! q(i) = sqrt((i-1)*radkernel*radkernel*dmaxcoltable)
! enddo
! call pgsci(2)
! call pgline(maxcoltable,q,coltable)
call pgsci(1)
!call pgpage
!
!--setup one particle
!
print*,'SINGLE PARTICLE TEST'
npart = 1
npixx = 10
npixy = 10
x(1) = 0.5*(xmin + xmax)
y(1) = 0.5*(ymin + ymax)
z(1) = 0.5*(zmin + zmax)
rho(1) = 1.0
pmass(1) = 2.0
h(1) = 0.35*xmax
weight(1) = 1./1.5**3
dat(1) = rho(1)
dxpix = (xmax-xmin)/real(npixx)
normalise = .false.
datpix = 0.
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,.false.)
call pgenv(xmin,xmax,ymin,ymax,1,0)
trans = 0.
trans(1) = xmin - 0.5*dxpix
trans(2) = dxpix
trans(4) = ymin - 0.5*dxpix
trans(6) = dxpix
datmax = maxval(datpix(1:npixx,1:npixy))
print*,'max datpix = ',datmax,maxloc(datpix(1:npixx,1:npixy))
if (abs(datmax-0.035367373).gt.errtol) then
print*,'FAILED: central maximum wrong, error = ',abs(datmax-0.035367373)
else
print*,'OK: central maximum seems fine'
endif
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,datmax,trans)
print*,'TEST WITH ACCELERATION'
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,.true.)
call pgenv(xmin,xmax,ymin,ymax,1,0)
trans = 0.
trans(1) = xmin - 0.5*dxpix
trans(2) = dxpix
trans(4) = ymin - 0.5*dxpix
trans(6) = dxpix
datmax = maxval(datpix(1:npixx,1:npixy))
print*,'max datpix = ',datmax,maxloc(datpix(1:npixx,1:npixy))
if (abs(datmax-0.035367373).gt.errtol) then
print*,'FAILED: central maximum wrong, error = ',abs(datmax-0.035367373)
else
print*,'OK: central maximum seems fine'
endif
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,datmax,trans)
!
!--setup two overlapping particles
!
print*,'TWO PARTICLE TEST'
npart = 2
npixx = 1000
npixy = 1000
x(1) = -0.25
x(2) = 0.25
y(2) = 0.5*(ymin + ymax)
z(2) = 0.5*(zmin + zmax)
rho(2) = 1.0
pmass(2) = 2.0
h(1:2) = 0.5*xmax
weight(2) = 1./1.5**3
dat(2) = rho(2)
dxpix = (xmax-xmin)/real(npixx)
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,ifastrender)
call pgenv(xmin,xmax,ymin,ymax,1,0)
trans = 0.
trans(1) = xmin - 0.5*dxpix
trans(2) = dxpix
trans(4) = ymin - 0.5*dxpix
trans(6) = dxpix
datmax = maxval(datpix(1:npixx,1:npixy))
print*,'max datpix = ',datmax,maxloc(datpix(1:npixx,1:npixy))
!!print*,'datpix = ',datpix(1:npixx,1:npixy)
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,datmax,trans)
!
!--set up a cubic lattice of particles
!
print*,'NORMAL LATTICE TEST'
npartx = 50
nparty = 50
npartz = 50
npart = npartx*nparty*npartz
npixx = 500
npixy = 500
dxpix = (xmax-xmin)/real(npixx)
call setgrid(npartx,nparty,npartz,x,y,z,pmass,rho,h,weight,xmin,xmax,ymin,ymax,zmin,zmax)
!
!--now call interpolation routine to pixels
!
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,ifastrender)
!
!--check output
!
dens = rho(1)
columndens = dens*(zmax-zmin)
call geterr(datpix(1:npixx,1:npixy),npixx,npixy,columndens,err)
print "(70('-'))"
print*,'average error in column density interpolation = ',err
if (err.gt.0.05) then
print*,'FAILED: average error > usual'
else
print*,'OK: average error same as usual'
endif
call pgenv(xmin,xmax,ymin,ymax,0,0)
! call pgpixl(datpix,ipixx,ipixy,1,npixx,1,npixy,xmin,xmax,ymin,ymax)
trans = 0.
trans(1) = xmin - 0.5*dxpix
trans(2) = dxpix
trans(4) = ymin - 0.5*dxpix
trans(6) = dxpix
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,1.0,trans)
!
!--NORMALISED VERSION OF ABOVE
!
normalise = .true.
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,ifastrender)
!
!--check output
!
dens = rho(1)
call geterr(datpix(1:npixx,1:npixy),npixx,npixy,dens,err)
print "(70('-'))"
print*,'average error in <density> interpolation = ',err
print*,' dens = ',dens,' datpix = ',datpix(1:10,1:10)
if (err.gt.0.05) then
print*,'FAILED: average error > usual'
else
print*,'OK: average error same as usual'
endif
call pgenv(xmin,xmax,ymin,ymax,0,0)
! call pgpixl(datpix,ipixx,ipixy,1,npixx,1,npixy,xmin,xmax,ymin,ymax)
trans = 0.
trans(1) = xmin - 0.5*dxpix
trans(2) = dxpix
trans(4) = ymin - 0.5*dxpix
trans(6) = dxpix
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,1.0,trans)
!
!--take cross section at midplane and check density
!
print "(70('-'))"
call interpolate3D_fastxsec(x(1:npart),y(1:npart),z(1:npart), &
h(1:npart),weight(1:npart),dat(1:npart),itype(1:npart),npart,&
xmin,ymin,0.0,datpix(1:npixx,1:npixy),npixx,npixy,dxpix,.false.)
call geterr(datpix(1:npixx,1:npixy),npixx,npixy,dens,err)
print*,'average error in non-normalised xsec interpolation = ',err
print "(70('-'))"
call pgenv(xmin,xmax,ymin,ymax,0,0)
! call pgpixl(datpix,ipixx,ipixy,1,npixx,1,npixy,xmin,xmax,ymin,ymax)
! trans = 0.
! trans(1) = xmin - 0.5*dxpix
! trans(2) = dxpix
! trans(4) = ymin - 0.5*dxpix
! trans(6) = dxpix
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,1.0,trans)
! call pgend
!
!--take normalised cross section at midplane and check density
!
call interpolate3D_fastxsec(x(1:npart),y(1:npart),z(1:npart), &
h(1:npart),weight(1:npart),dat(1:npart),itype(1:npart),npart,&
xmin,ymin,0.0,datpix(1:npixx,1:npixy),npixx,npixy,dxpix,.true.)
call geterr(datpix(1:npixx,1:npixy),npixx,npixy,dens,err)
print*,'average error in normalised xsec interpolation = ',err
call pgenv(xmin,xmax,ymin,ymax,0,0)
call pgimag(datpix,ipixx,ipixy,1,npixx,1,npixy,0.0,1.0,trans)
print*,'closing PGPLOT'
call pgend
print "(70('-'))"
print*,'SPEED CHECKS...'
normalise = .true.
npixx = 1
npixy = 1
npartx = idimx
nparty = idimx
npartz = idimx
npart = npartx*nparty*npartz
call setgrid(npartx,nparty,npartz,x,y,z,pmass,rho,h,weight,xmin,xmax,ymin,ymax,zmin,zmax)
dxpix = (xmax-xmin)/real(npixx)
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,ifastrender)
call geterr(datpix(1:npixx,1:npixy),npixx,npixy,columndens,err)
print*,'average error in projection = ',err
npixx = 1000
npixy = 1000
npartx = 2
nparty = 2
npartz = 2
npart = npartx*nparty*npartz
call setgrid(npartx,nparty,npartz,x,y,z,pmass,rho,h,weight,xmin,xmax,ymin,ymax,zmin,zmax)
dxpix = (xmax-xmin)/real(npixx)
call interpolate3D_projection(x(1:npart),y(1:npart),z(1:npart),h(1:npart), &
weight(1:npart),dat(1:npart),itype(1:npart),npart,xmin,ymin, &
datpix(1:npixx,1:npixy),npixx,npixy,dxpix,dxpix,normalise,0.,0.,ifastrender)
call geterr(datpix(1:npixx,1:npixy),npixx,npixy,columndens,err)
print*,'average error in projection = ',err
contains
subroutine setgrid(npartx,nparty,npartz,x,y,z,pmass,rho,h,weight,xmin,xmax,ymin,ymax,zmin,zmax)
implicit none
integer , intent(in) :: npartx,nparty,npartz
real, dimension(:), intent(out) :: x,y,z,pmass,rho,h,weight
real, intent(in) :: xmin,xmax,ymin,ymax,zmin,zmax
integer :: ipart,k,j,i
real :: dx,dy,dz,ypos,zpos
real :: totmass,massp,vol,dens,h0
dz = (zmax-zmin)/real(npartz - 1)
dy = (ymax-ymin)/real(nparty - 1)
dx = (xmax-xmin)/real(npartx - 1)
ipart = 0
do k=1,npartz
zpos = zmin + (k-1)*dz
do j=1,nparty
ypos = ymin + (j-1)*dy
do i=1,npartx
ipart = ipart + 1
x(ipart) = xmin + (i-1)*dx
y(ipart) = ypos
z(ipart) = zpos
! print*,ipart,'x,y,z=',x(ipart),y(ipart),z(ipart)
enddo
enddo
enddo
npart = npartx*nparty*npartz
!
!--set other properties
!
totmass = 3.1415926536
massp = totmass/real(npart)
vol = (xmax-xmin)*(ymax-ymin)*(zmax-zmin)
dens = totmass/vol
h0 = 1.5*(massp/dens)**(1./3)
print*,' testing ',npart,' particles in a cube configuration'
print*,' dx = ',dx,' dy = ',dy,' dz = ',dz
print*,' mass = ',massp,' dens = ',dens,' h = ',h0
print*,' approx density = ',massp/(dx*dy*dz)
do i = 1,npart
pmass(i) = massp
rho(i) = dens
h(i) = h0
dat(i) = rho(i)
weight(i) = pmass(i)/(rho(i)*h(i)**3)
enddo
end subroutine setgrid
subroutine geterr(datpix,npixx,npixy,datexact,err)
implicit none
integer, intent(in) :: npixx,npixy
real, dimension(:,:), intent(in) :: datpix
real, intent(in) :: datexact
real, intent(out) :: err
integer :: icalc,j,i
real :: erri
err = 0.
icalc = 0
do j=2,npixy-1
do i=2,npixx-1
icalc = icalc + 1
erri = abs(datpix(i,j)-datexact)/datexact
err = err + erri
!if (erri.gt.0.05) print*,i,j,' xsec dens = ',datpix(i,j),' should be ',dens
enddo
enddo
if (icalc.le.0) then
print*,'cannot calculate error => npix too small'
err = -1.0
else
err = err/real(icalc)
endif
end subroutine geterr
end program test_interpolation
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