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aovmax.f90
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aovmax.f90
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program aovsimple
implicit none
character*80 :: infile,outfile
integer (kind=2) :: ifile
integer (kind=4) :: ntot,i
integer (kind=4), parameter :: ndatamax=10000000
real (kind=8), allocatable :: tread(:),xread(:)
real (kind=8), allocatable :: tdata(:),xdata(:)
real (kind=8) :: xave
real (kind=8) :: fmaxout,thetamaxout
write(6,100)
100 format(32hPlease enter an input file name:)
read*,infile
ifile=index(infile,' ')
outfile=infile(1:ifile-1)//'.aov'
open(unit=1,file=infile,status='old',err=10)
goto 11
10 stop 'Could not open input file.'
11 open(unit=2,file=outfile,status='unknown',err=12)
goto 13
12 stop 'Could not open output file.'
13 continue
allocate(tread(ndatamax),xread(ndatamax))
ntot=0
do i=1,ndatamax
read(1,*,end=99) tread(i),xread(i)
ntot=ntot+1
enddo
99 close(1)
allocate(tdata(ntot),xdata(ntot))
tdata=tread(1:ntot)
xdata=xread(1:ntot)
deallocate(tread,xread)
xave=sum(xdata)/dfloat(ntot)
call aovmax(ntot,tdata,xdata,xave,fmaxout,thetamaxout)
print*,infile,fmaxout,thetamaxout
end
subroutine aovmax(ntot,tdata,xdata,xave,fmaxout,thetamaxout)
!------------------------------------------------------------------------------
! AOVMAX: Return the frequency at which theta(AOV) is maximum
! Call this subroutine with the following variables:
! ntot = total number of data points
! tdata = time values of the data points
! xdata = magnitude, flux, etc
! xave = average of xdata
!
! Return values:
! fmaxout = frequency where theta(AOV) is maximum
! thetamaxout = value of theta(AOV) at maximum
!
! Program by M. Templeton, August 15, 2007
! Adapted from A. Schwarzenberg-Czerny 1989 (MNRAS 241,153)
!------------------------------------------------------------------------------
implicit none
integer (kind=4) :: ntot,i,j,k
real (kind=8) :: tdata(ntot),xdata(ntot),xave
real (kind=8) :: fmaxout,thetamaxout
real (kind=8) :: freqmin,freqmax,deltafreq,pfold
integer (kind=4) :: nfreq
integer (kind=4) :: rbin,ibin
real (kind=8) :: oversample
integer (kind=4), allocatable :: nbin(:)
real (kind=8), allocatable :: tbin(:),xbin(:,:)
real (kind=8), allocatable :: xbinave(:)
real (kind=8) :: s0sq,s1sq,s2sq
real (kind=8), allocatable :: thetaaov(:),frequency(:)
integer (kind=4) :: im(1)
rbin=7
oversample=16.d0
freqmin=1.d-2
freqmax=5.d-1
deltafreq=2.d0/(maxval(tdata)-minval(tdata))
deltafreq=deltafreq/oversample
nfreq=1+(freqmax-freqmin)/deltafreq
allocate(frequency(nfreq),thetaaov(nfreq))
do i=1,nfreq
allocate(tbin(ntot),xbin(ntot,rbin),nbin(rbin))
tbin=0.d0
xbin=0.d0
nbin=0
pfold=1.d0/(freqmin+(deltafreq*dfloat(i-1)))
tbin=tdata/pfold
tbin=mod(tbin,1.d0)
allocate(xbinave(rbin))
do j=1,ntot
if(tbin(j).lt.0.d0) tbin(j)=tbin(j)+1.d0
ibin=idint(rbin*tbin(j))+1
nbin(ibin)=nbin(ibin)+1
xbin(nbin(ibin),ibin)=xbin(nbin(ibin),ibin)+xdata(j)
enddo
s1sq=0.d0
do j=1,rbin
xbinave(j)=(sum(xbin(1:nbin(j),j)))/dfloat(nbin(j))
s1sq=s1sq+nbin(j)*(xbinave(j)-xave)**2
s0sq=0.d0
s2sq=0.d0
do k=1,nbin(j)
s2sq=s2sq+(xbin(k,j)-xbinave(j))**2
s0sq=s0sq+(xbin(k,j)-xave)**2
enddo
enddo
s1sq=s1sq/dfloat(rbin-1)
s2sq=s2sq/dfloat(ntot-rbin)
s0sq=s0sq/dfloat(ntot-1)
thetaaov(i)=s1sq/s2sq
frequency(i)=1.d0/pfold
deallocate(tbin,xbin,nbin,xbinave)
enddo
im=maxloc(thetaaov)
fmaxout=frequency(im(1))
thetamaxout=thetaaov(im(1))
return
end