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nested.F90
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nested.F90
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! Do nested sampling algorithm to calculate Bayesian evidence
! Mar 2012
! Farhan Feroz
module Nested
use utils1
use kmeans_clstr
use xmeans_clstr
use posterior
use priors
implicit none
#ifdef MPI
include 'mpif.h'
integer mpi_status(MPI_STATUS_SIZE), errcode
#endif
integer my_rank
integer maxCls,maxeCls
integer mpi_nthreads !total no. of mpi processors
integer min_pt,totPar
integer nCdims !total no. of parameters on which clustering should be done
integer nlive ! Number of live points
integer ndims ! Number of dimensions
integer nsc_def !no. of iterations per every sub-clustering step
integer updInt !update interval
double precision Ztol !lowest local evidence for which samples to produce
double precision tol ! tolerance at end
double precision ef
logical multimodal ! multimodal or unimodal sampling
logical ceff ! constant efficiency?
integer numlike,globff
double precision logZero
integer maxIter
logical fback,resumeFlag,dlive,genLive,dino
!output files name
character(LEN=100)physname,broot,rname,resumename,livename,evname
!output file units
integer u_ev,u_resume,u_phys,u_live
double precision gZ,ginfo !total log(evidence) & info
integer count,sCount
logical, dimension(:), allocatable :: pWrap
logical mWrap,aWrap !whether to do wraparound for mode separation
logical debug, prior_warning, resume, outfile
contains
subroutine nestRun(nest_mmodal,nest_ceff,nest_nlive,nest_tol,nest_ef,nest_ndims,nest_totPar,nest_nCdims,maxClst, &
nest_updInt,nest_Ztol,nest_root,seed,nest_pWrap,nest_fb,nest_resume,nest_outfile,initMPI,nest_logZero,nest_maxIter, &
loglike,dumper,context)
implicit none
integer nest_ndims,nest_nlive,nest_updInt,context,seed,i
integer maxClst,nest_nsc,nest_totPar,nest_nCdims,nest_pWrap(*),nest_maxIter
logical nest_mmodal,nest_fb,nest_resume,nest_ceff,nest_outfile,initMPI
character(LEN=100) nest_root
double precision nest_tol,nest_ef,nest_Ztol,nest_logZero
INTERFACE
!the likelihood function
subroutine loglike(Cube,n_dim,nPar,lnew,context_pass)
integer n_dim,nPar,context_pass
double precision lnew,Cube(nPar)
end subroutine loglike
end INTERFACE
INTERFACE
!the user dumper function
subroutine dumper(nSamples, nlive, nPar, physLive, posterior, paramConstr, maxLogLike, logZ, logZerr, context_pass)
integer nSamples, nlive, nPar, context_pass
double precision, pointer :: physLive(:,:), posterior(:,:), paramConstr(:)
double precision maxLogLike, logZ, logZerr
end subroutine dumper
end INTERFACE
#ifdef MPI
if( initMPI ) then
!MPI initializations
call MPI_INIT(errcode)
if (errcode/=MPI_SUCCESS) then
write(*,*)'Error starting MPI. Terminating.'
call MPI_ABORT(MPI_COMM_WORLD,errcode)
end if
endif
call MPI_COMM_RANK(MPI_COMM_WORLD, my_rank, errcode)
call MPI_COMM_SIZE(MPI_COMM_WORLD, mpi_nthreads, errcode)
#else
mpi_nthreads=1
my_rank=0
#endif
nest_nsc=50
nlive=nest_nlive
Ztol=nest_Ztol
updInt=nest_updInt
logZero=nest_logZero
maxIter=nest_maxIter
if(maxIter<=0) maxIter=huge(1)
ndims=nest_ndims
totPar=nest_totPar
nCdims=nest_nCdims
debug=.false.
prior_warning=.true.
resume=nest_resume
outfile=nest_outfile
if(.not.outfile) resume=.false.
if(nCdims>ndims) then
if(my_rank==0) then
write(*,*)"ERROR: nCdims can not be greater than ndims."
write(*,*)"Aborting"
endif
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
if(my_rank==0) then
count=0
sCount=0
broot=nest_root
rname = trim(broot)
fback = nest_fb
!output file info
!setup the output files
resumename = trim(rname)//'resume.dat'
physname = trim(rname)//'phys_live.points'
livename = trim(rname)//'live.points'
evname = trim(rname)//'ev.dat'
!setup the output file units
u_ev=55
u_phys=57
u_live=59
u_resume=61
endif
allocate(pWrap(ndims))
mWrap=.false.
aWrap=.true.
do i=1,ndims
if(nest_pWrap(i)==0) then
pWrap(i)=.false.
if(i<=nCdims) aWrap=.false.
else
pWrap(i)=.true.
if(i<=nCdims) mWrap=.true.
endif
enddo
multimodal=nest_mmodal
ceff=nest_ceff
tol=nest_tol
ef=nest_ef
if(ef>=1d6) then
dino=.false.
ef=1d0
min_pt=ndims+1
elseif(ceff) then
if(ef>1d0) then
if(my_rank==0) then
write(*,*)"ERROR: Can not undersample in constant efficiency mode."
write(*,*)"Aborting"
endif
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
dino=.true.
min_pt=2
else
dino=.true.
min_pt=2
endif
nsc_def=nest_nsc
if(.not.multimodal) then
maxCls=1
else
maxCls=maxClst*2
endif
maxeCls=nlive/min_pt
if(seed<0) then
!take the seed from system clock
call InitRandomNS(mpi_nthreads)
else
call InitRandomNS(mpi_nthreads,seed)
endif
if(my_rank==0) then
!set the resume flag to true if the resume file exists else to false
if(resume) then
inquire(file=resumename,exist=resumeFlag)
if(.not.resumeFlag) write(*,*)"MultiNest Warning: no resume file found, starting from scratch"
else
resumeFlag=.false.
endif
write(*,*)"*****************************************************"
write(*,*)"MultiNest v2.17"
write(*,*)"Copyright Farhan Feroz & Mike Hobson"
write(*,*)"Release Mar 2012"
write(*,*)
write(*,'(a,i4)')" no. of live points = ",nest_nlive
write(*,'(a,i4)')" dimensionality = ",nest_ndims
if(resumeFlag) write(*,'(a)')" resuming from previous job"
write(*,*)"*****************************************************"
if (fback) write (*,*) 'Starting MultiNest'
!create the output files
if(.not.resumeFlag .and. outfile) then
open(unit=u_ev,file=evname,status='replace')
close(u_ev)
endif
endif
call Nestsample(loglike, dumper, context)
deallocate(pWrap)
call killRandomNS()
#ifdef MPI
if( initMPI ) call MPI_FINALIZE(errcode)
#endif
end subroutine nestRun
!----------------------------------------------------------------------
subroutine Nestsample(loglike, dumper, context)
implicit none
integer context
double precision, allocatable :: p(:,:), phyP(:,:) !live points
double precision, allocatable :: l(:) !log-likelihood
double precision vnow1!current vol
double precision ltmp(totPar+2)
character(len=100) fmt
integer np,i,j,k,ios
INTERFACE
!the likelihood function
subroutine loglike(Cube,n_dim,nPar,lnew,context_pass)
integer n_dim,nPar,context_pass
double precision lnew,Cube(nPar)
end subroutine loglike
end INTERFACE
INTERFACE
!the user dumper function
subroutine dumper(nSamples, nlive, nPar, physLive, posterior, paramConstr, maxLogLike, logZ, logZerr, context_pass)
integer nSamples, nlive, nPar, context_pass
double precision, pointer :: physLive(:,:), posterior(:,:), paramConstr(:)
double precision maxLogLike, logZ, logZerr
end subroutine dumper
end INTERFACE
allocate( p(ndims,nlive+1), phyP(totPar,nlive+1), l(nlive+1) )
if(my_rank==0) then
np=ndims
globff=0
numlike=0
vnow1=1.d0
write(fmt,'(a,i5,a)') '(',np+1,'E28.18)'
genLive=.true.
if(resumeflag) then
!check if the last run was aborted during the live points generation
open(unit=u_resume,file=resumename,status='old')
read(u_resume,*)genLive
if( .not.genLive ) then
read(u_resume,*)i,j,j,j
if( j /= nlive ) then
write(*,*)"ERROR: no. of live points in the resume file is not equal to the the no. passed to nestRun."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
endif
close(u_resume)
if( .not.genLive ) then
j = 0
open(unit=u_ev,file=evname,status='old')
write(fmt,'(a,i2.2,a)') '(',totPar+2,'E28.18,i3)'
do
read(55,*,IOSTAT=ios) ltmp(1:totPar+2),k
!end of file?
if(ios<0) exit
j = j + 1
enddo
close(u_ev)
if( j + nlive /= i ) then
write(*,*)"ERROR: no. of points in ev.dat file is not equal to the no. specified in resume file."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
endif
endif
gZ=logZero
ginfo=0.d0
endif
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
call MPI_BCAST(genLive,1,MPI_LOGICAL,0,MPI_COMM_WORLD,errcode)
#endif
if(genLive) then
if(my_rank==0 .and. fback) write(*,*) 'generating live points'
call gen_initial_live(p,phyP,l,loglike,dumper,context)
if(my_rank==0) then
globff=nlive
numlike=nlive
if(fback) write(*,*) 'live points generated, starting sampling'
endif
endif
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
#endif
call clusteredNest(p,phyP,l,loglike,dumper,context)
if(my_rank==0) then
write(*,*)"ln(ev)=",gZ,"+/-",sqrt(ginfo/dble(nlive))
write(*,'(a,i12)')' Total Likelihood Evaluations: ', numlike
write(*,*)"Sampling finished. Exiting MultiNest"
setBlk=.false.
endif
deallocate( p, phyP, l )
end subroutine Nestsample
!----------------------------------------------------------------------
subroutine gen_initial_live(p,phyP,l,loglike,dumper,context)
implicit none
integer i,j,iostatus,idum,k,m,nptPerProc,nGen,nstart,nend,context
double precision, allocatable :: pnewP(:,:), phyPnewP(:,:), lnewP(:)
double precision p(ndims,nlive+1), phyP(totPar,nlive+1), l(nlive+1)
integer id
character(len=100) fmt,fmt2
#ifdef MPI
double precision, allocatable :: tmpl(:), tmpp(:,:), tmpphyP(:,:)
integer q
#endif
INTERFACE
!the likelihood function
subroutine loglike(Cube,n_dim,nPar,lnew,context_pass)
integer n_dim,nPar,context_pass
double precision lnew,Cube(nPar)
end subroutine loglike
end INTERFACE
INTERFACE
!the user dumper function
subroutine dumper(nSamples, nlive, nPar, physLive, posterior, paramConstr, maxLogLike, logZ, logZerr, context_pass)
integer nSamples, nlive, nPar, context_pass
double precision, pointer :: physLive(:,:), posterior(:,:), paramConstr(:)
double precision maxLogLike, logZ, logZerr
end subroutine dumper
end INTERFACE
allocate( pnewP(ndims,10), phyPnewP(totPar,10), lnewP(10) )
#ifdef MPI
allocate( tmpl(10), tmpp(ndims,10), tmpphyP(totPar,10) )
#endif
if(my_rank==0) then
if(outfile) then
open(unit=u_resume,file=resumename,form='formatted',status='replace')
write(u_resume,'(l2)')genLive
close(u_resume)
write(fmt,'(a,i5,a)') '(',ndims+1,'E28.18)'
write(fmt2,'(a,i5,a)') '(',totPar+1,'E28.18,i4)'
endif
id=0
i=0
!resume from previous live points generation?
if(outfile) then
if(resumeflag) then
!read hypercube-live file
open(unit=u_live,file=livename,status='old')
do
i=i+1
read(u_live,*,IOSTAT=iostatus) p(:,i),l(i)
if(iostatus<0) then
i=i-1
if(i>nlive) then
write(*,*)"ERROR: more than ",nlive," points in the live points file."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
exit
endif
enddo
close(u_live)
if(i>0) then
!read physical live file
open(unit=u_phys,file=physname,status='old')
do j=1,i
read(u_phys,*) phyP(:,j),l(j),idum
enddo
close(u_phys)
endif
open(unit=u_live,file=livename,form='formatted',status='old',position='append')
open(unit=u_phys,file=physname,form='formatted',status='old',position='append')
else
open(unit=u_live,file=livename,form='formatted',status='replace')
open(unit=u_phys,file=physname,form='formatted',status='replace')
endif
endif
j=i
nend=i
nGen = nlive - j
nptPerProc = ceiling( dble(nGen) / dble(mpi_nthreads) )
endif
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
call MPI_BCAST(nGen,1,MPI_INTEGER,0,MPI_COMM_WORLD,errcode)
call MPI_BCAST(nptPerProc,1,MPI_INTEGER,0,MPI_COMM_WORLD,errcode)
#endif
if(nGen==0) then
if(my_rank==0) then
genLive=.false.
resumeFlag=.false.
endif
deallocate( pnewP, phyPnewP, lnewP )
#ifdef MPI
deallocate( tmpl, tmpp, tmpphyP )
#endif
if( outfile ) then
close(u_live)
close(u_phys)
endif
return
elseif(nGen<0) then
if(my_rank==0) then
write(*,*)"ERROR: live points files have more live points than required."
write(*,*)"Aborting"
endif
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
k=0
j=0
id=my_rank
do
k=k+1
j=j+1
do
call getrandom(ndims,pnewP(:,j),id) ! start points
phyPnewP(1:ndims,j)=pnewP(1:ndims,j)
call loglike(phyPnewP(:,j),ndims,totPar,lnewP(j),context)
if(lnewP(j)>logZero) exit
enddo
if(k==nptPerProc .or. j==10) then
if(k==nptPerProc) then
i=mod(nptPerProc,10)
if(i==0) i=10
else
i=10
j=0
endif
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
#endif
if(id/=0) then
#ifdef MPI
!send the generated points to the root node
call MPI_SEND(lnewP(1:i),i,MPI_DOUBLE_PRECISION,0,id,MPI_COMM_WORLD,errcode)
call MPI_SEND(pnewP(1:ndims,1:i),ndims*i,MPI_DOUBLE_PRECISION,0,id,MPI_COMM_WORLD,errcode)
call MPI_SEND(phyPnewP(1:totPar,1:i),totPar*i,MPI_DOUBLE_PRECISION,0,id,MPI_COMM_WORLD,errcode)
#endif
else
!first write the points generated by the root node
nstart=nend+1
p(1:ndims,nstart:nstart+i-1)=pnewP(1:ndims,1:i)
phyP(1:totPar,nstart:nstart+i-1)=phyPnewP(1:totPar,1:i)
l(nstart:nstart+i-1)=lnewP(1:i)
nend=nstart+i-1
#ifdef MPI
!receive the points from other nodes
do m=1,mpi_nthreads-1
call MPI_RECV(tmpl(1:i),i,MPI_DOUBLE_PRECISION,m,m,MPI_COMM_WORLD,mpi_status,errcode)
call MPI_RECV(tmpp(1:ndims,1:i),i*ndims,MPI_DOUBLE_PRECISION,m,m,MPI_COMM_WORLD,mpi_status,errcode)
call MPI_RECV(tmpphyP(1:totPar,1:i),i*totPar,MPI_DOUBLE_PRECISION,m,m,MPI_COMM_WORLD,mpi_status,errcode)
do q = 1 , i
if( nend + 1 <= nlive ) then
l(nend + 1) = tmpl(q)
p(1 : ndims, nend + 1) = tmpp(1 : ndims, q)
phyP(1 : totPar, nend + 1) = tmpphyP(1 : totPar, q)
nend = nend + 1
endif
enddo
enddo
#endif
if( outfile ) then
!now write this batch to the files
do m=nstart,nend
write(u_live,fmt) p(1:ndims,m),l(m)
write(u_phys,fmt2) phyP(:,m),l(m),1
enddo
endif
endif
endif
if(k==nptPerProc) exit
enddo
deallocate( pnewP, phyPnewP, lnewP )
#ifdef MPI
deallocate( tmpl, tmpp, tmpphyP )
#endif
if( outfile ) then
close(u_live)
close(u_phys)
endif
genLive=.false.
resumeFlag=.false.
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
#endif
end subroutine gen_initial_live
!----------------------------------------------------------------------
subroutine getrandom(n,x,id)
implicit none
integer, intent(in) :: n
double precision, intent(out) :: x(:)
integer i,id
! --- uniform prior ----
do i = 1,n
x(i)=ranmarNS(id)
enddo
return
end subroutine getrandom
!----------------------------------------------------------------------
subroutine clusteredNest(p,phyP,l,loglike,dumper,context)
implicit none
!input variables
integer context
double precision p(ndims,nlive+1) !live points
double precision phyP(totPar,nlive+1) !physical live points
double precision l(nlive+1) !log-likelihood
!work variables
!misc
integer i, j, k, m, n, j1, i1, i2, i3, i4, ff, sff, n1, n2, q, nd, nd_i, nd_j, iostatus
integer num_old
integer, allocatable :: eswitchff(:), escount(:), dmin(:)
double precision d1, d2, d3, d4, d5, urv
double precision h, logX, vprev, vnext, shrink !prior volume
double precision mar_r !marginal acceptance rate
double precision gZOld !global evidence & info
logical eswitch,peswitch,cSwitch !whether to do ellipsoidal sampling or not
logical remFlag, acpt, flag, flag2
integer funit1, funit2 !file units
character(len=100) fName1, fName2 !file names
character(len=100) fmt,fmt1
!diagnostics for determining when to do eigen analysis
integer neVol
parameter(neVol=4)
double precision, dimension(:), allocatable :: totVol, x1, x2, y1, y2, slope, intcpt, cVolFrac, pVolFrac
double precision, dimension(:,:,:), allocatable :: eVolFrac
!info for output file update
double precision, allocatable :: evData(:,:), evDataAll(:), evDataTemp(:)
!isolated cluster info
integer ic_n !no. of nodes
integer, allocatable :: ic_sc(:), ic_npt(:)
logical, allocatable :: ic_done(:)
integer, dimension(:), allocatable :: ic_fNode, ic_nsc, ic_nBrnch
double precision, dimension(:,:,:), allocatable :: ic_brnch, ic_llimits, ic_plimits
double precision, allocatable :: ic_climits(:,:,:), ic_volFac(:)
double precision, dimension(:), allocatable :: ic_Z, ic_Zold, ic_info, ic_vnow, ic_hilike, ic_inc
double precision, dimension(:,:), allocatable :: ic_eff
logical, dimension(:), allocatable :: ic_reme, ic_rFlag, ic_chk
logical modeFound
!means & standard deviations of the live points (for prior edge detection)
double precision, dimension(:,:), allocatable :: ic_mean, ic_sigma
double precision lPts(ndims)
!sub-cluster properties
integer sc_n !no. of sub-clusters
integer, dimension(:), allocatable :: sc_npt, nptk, nptx ,sc_node, nodek, sck
double precision, dimension(:,:), allocatable :: meank, sc_eval, evalk
double precision, dimension(:,:,:), allocatable :: sc_invcov, invcovk, sc_evec, eveck, tMatk
double precision, dimension(:), allocatable :: kfack, volk, effk
double precision, allocatable :: sc_mean(:,:), sc_tmat(:,:,:), sc_kfac(:), sc_eff(:), sc_vol(:)
!auxiliary points (to be re-arranged with main points during clustering)
integer naux !dimensionality of aux points
double precision, dimension(:,:), allocatable :: aux, pt
!rejected point info
double precision lowlike !lowest log-like
double precision, allocatable :: lowp(:), lowphyP(:) !point with the lowlike
integer indx(1) !point no. of lowlike
!new point
double precision lnew
double precision, allocatable :: pnew(:), phyPnew(:) ! new point
double precision, dimension(:,:,:), allocatable :: pnewa, phyPnewa
double precision, dimension(:,:), allocatable :: lnewa
integer, dimension(:), allocatable :: rIdx
integer, dimension(:,:), allocatable :: sEll
logical, dimension(:), allocatable :: remain
!mode separation
integer nCdim
INTERFACE
!the likelihood function
subroutine loglike(Cube,n_dim,nPar,lnew,context_pass)
integer n_dim,nPar,context_pass
double precision lnew,Cube(nPar)
end subroutine loglike
end INTERFACE
INTERFACE
!the user dumper function
subroutine dumper(nSamples, nlive, nPar, physLive, posterior, paramConstr, maxLogLike, logZ, logZerr, context_pass)
integer nSamples, nlive, nPar, context_pass
double precision, pointer :: physLive(:,:), posterior(:,:), paramConstr(:)
double precision maxLogLike, logZ, logZerr
end subroutine dumper
end INTERFACE
allocate( eswitchff(maxCls), escount(maxCls), dmin(maxCls) )
allocate( evData(updInt,totPar+3) )
allocate( ic_sc(maxCls), ic_npt(maxCls) )
allocate( ic_done(0:maxCls) )
allocate( ic_climits(maxCls,ndims,2), ic_volFac(maxCls) )
allocate( sc_mean(maxeCls,ndims), sc_tmat(maxeCls,ndims,ndims), sc_kfac(maxeCls), sc_eff(maxeCls), sc_vol(maxeCls) )
allocate( lowp(ndims), lowphyP(totPar) )
allocate( pnew(ndims), phyPnew(totPar) )
!initializations
ic_done=.false.
ic_npt=nlive
ic_climits(:,:,2)=1d0
ic_climits(:,:,1)=0d0
ic_volFac(:)=1d0
if(my_rank==0) then
!memory allocation
allocate(evDataAll(1))
allocate(sc_npt(maxeCls), nptk(maxeCls), nptx(nlive), meank(maxeCls,ndims), &
sc_eval(maxeCls,ndims), evalk(maxeCls,ndims), sc_invcov(maxeCls,ndims,ndims), &
invcovk(maxeCls,ndims,ndims), tMatk(maxeCls,ndims,ndims), &
sc_evec(maxeCls,ndims,ndims), eveck(maxeCls,ndims,ndims), kfack(maxeCls), &
effk(maxeCls), volk(maxeCls), &
sc_node(maxeCls),nodek(maxeCls),sck(maxCls))
allocate(pt(ndims,nlive), aux(ndims+totPar+4-nCdims,nlive))
allocate(ic_fNode(maxCls),ic_nsc(maxCls),ic_nBrnch(maxCls), &
ic_brnch(maxCls,maxCls,2),ic_reme(maxCls),ic_rFlag(maxCls),ic_z(maxCls),ic_zold(maxCls),ic_info(maxCls), &
ic_vnow(maxCls),ic_hilike(maxCls),ic_inc(maxCls),ic_chk(maxCls),ic_llimits(maxCls,ndims,2))
if(multimodal) allocate(ic_plimits(maxCls,nCdims,2))
if(ceff) then
allocate(ic_eff(maxCls,4))
ic_eff(:,1:2)=0d0
ic_eff(:,3)=1d0
ic_eff(:,4)=1d0
endif
allocate(pnewa(maxCls,mpi_nthreads,ndims),phyPnewa(maxCls,mpi_nthreads,totPar),lnewa(maxCls,mpi_nthreads), &
sEll(maxCls,mpi_nthreads),remain(maxCls),rIdx(maxCls))
allocate(totVol(maxCls),eVolFrac(maxCls,neVol*2,neVol),x1(maxCls),x2(maxCls),y1(maxCls), &
y2(maxCls),slope(maxCls),intcpt(maxCls),cVolFrac(maxCls),pVolFrac(maxCls))
if( prior_warning ) allocate( ic_mean(maxCls, ndims), ic_sigma(maxCls, ndims) )
!global logZ = log(0)
gZ=logZero
gZOld=logZero
ic_Z=logZero
ic_zold=logZero
ginfo=0.d0
ic_info=0.d0
ic_llimits(:,:,2)=1d0
ic_llimits(:,:,1)=0d0
if(multimodal) then
ic_plimits(:,:,2)=huge(1d0)
ic_plimits(:,:,1)=-huge(1d0)
endif
!just one node to sttart with
ic_n=1
ic_fNode(1)=0
ic_sc(1)=0
ic_nsc=nsc_def
ic_reme=.false.
ic_nBrnch=0
!set the prior volume
ic_vnow=0.d0
ic_vnow(1)=1.d0
!no ellipsoidal sampling to start with
eswitch=.false.
peswitch=.false.
escount=0
!no leftover points
remain=.false.
rIdx=1
!no sub-clusters at the beginning
sc_n=0
totVol=1.d0
sc_node=1
!eigen analysis diagnostics
eVolFrac=0.d0
dmin=ndims+1
ic_rFlag=.false.
sff=0
if(resumeFlag) then
!read the resume file
funit1=u_resume
open(unit=funit1,file=resumename,status='old')
read(funit1,*)genLive
read(funit1,*)globff,numlike,ic_n,nlive
read(funit1,*)gZ,ginfo
ic_rFlag(1:ic_n)=.true.
read(funit1,*)eswitch
peswitch=eswitch
if(eswitch) totVol=1.d0
!read branching info
do i=1,ic_n
read(funit1,*)ic_nBrnch(i)
if(ic_nBrnch(i)>0) read(funit1,*)ic_brnch(i,1:ic_nBrnch(i),1),ic_brnch(i,1:ic_nBrnch(i),2)
enddo
!read the node info
do i=1,ic_n
read(funit1,*)ic_done(i),ic_reme(i),ic_fNode(i),ic_npt(i)
read(funit1,*)ic_vnow(i),ic_Z(i),ic_info(i)
if(ceff) then
read(funit1,*)ic_eff(i,4)
ic_eff(i,3)=ic_eff(i,4)
endif
enddo
if(.not.eswitch .or. ic_n==1) ic_npt(1)=nlive
close(funit1)
eswitchff=0
!read hypercube-live file
open(unit=u_live,file=livename,status='old')
i=0
do
i=i+1
read(u_live,*,IOSTAT=iostatus) p(1:ndims,i),l(i)
if(iostatus<0) then
i=i-1
if(i<nlive) then
write(*,*)"ERROR: live points file has less than ",nlive," points."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
exit
endif
if(i>nlive) then
write(*,*)"ERROR: live points file has greater than ",nlive," points."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
enddo
close(u_live)
!read physical-live file
open(unit=u_phys,file=physname,status='old')
i=0
do
i=i+1
read(u_phys,*,IOSTAT=iostatus) phyP(1:totPar,i),d1,j
if(iostatus<0) then
i=i-1
if(i<nlive) then
write(*,*)"ERROR: phys live points file has less than ",nlive," points."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
exit
endif
if(i>nlive) then
write(*,*)"ERROR: phys live points file has greater than ",nlive," points."
write(*,*)"Aborting"
#ifdef MPI
call MPI_ABORT(MPI_COMM_WORLD,errcode)
#endif
stop
endif
enddo
close(u_phys)
endif
!find the highest likelihood for each node
j=0
ic_done(0)=.true.
do i=1,ic_n
ic_hilike(i)=maxval(l(j+1:j+ic_npt(i)))
lowlike=minval(l(j+1:j+ic_npt(i)))
ic_inc(i)=ic_hilike(i)+log(ic_vnow(i))-ic_Z(i)
if(ic_npt(i)<ndims+1 .or. abs(lowlike-ic_hilike(i))<= 0.0001d0 .or. (ic_inc(i)<log(tol) .and. globff-nlive>50)) then
ic_done(i)=.true.
else
ic_done(i)=.false.
ic_done(0)=.false.
endif
!set the limits
if(.not.ic_done(i)) then
ic_llimits(i,:,1)=p(:,j+1)
ic_llimits(i,:,2)=p(:,j+1)
if(multimodal) then
ic_plimits(i,1:nCdims,1)=phyP(1:nCdims,j+1)
ic_plimits(i,1:nCdims,2)=phyP(1:nCdims,j+1)
endif
do k=j+2,j+ic_npt(i)
if(multimodal) then
call setLimits(multimodal,ndims,nCdims,ic_llimits(i,:,:), &
ic_plimits(i,:,:),p(:,k),phyP(1:nCdims,k),ic_climits(i,:,:))
else
call setLimits(multimodal,ndims,nCdims,ic_llimits(i,:,:), &
ic_climits(i,:,:),p(:,k),phyP(1:nCdims,k),ic_climits(i,:,:))
endif
enddo
endif
j=j+ic_npt(i)
enddo
endif
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
call MPI_BCAST(ic_n,1,MPI_INTEGER,0,MPI_COMM_WORLD,errcode)
call MPI_BCAST(ic_npt(1:ic_n),ic_n,MPI_INTEGER,0,MPI_COMM_WORLD,errcode)
#endif
do ff=1,maxIter
#ifdef MPI
call MPI_BARRIER(MPI_COMM_WORLD,errcode)
call MPI_BCAST(ic_done(0:ic_n),ic_n+1,MPI_LOGICAL,0,MPI_COMM_WORLD,errcode)
#endif
!stopping condition reached
if(ic_done(0)) then
if(my_rank==0) then
if(outfile) then
!write the resume file
funit1=u_resume
fName1=resumename
write(fmt,'(a,i5,a)') '(',totPar+1,'E28.18,i4)'
open(unit=funit1,file=fName1,form='formatted',status='replace')
write(funit1,'(l2)').false.
write(funit1,'(4i12)')globff,numlike,ic_n,nlive
write(funit1,'(2E28.18)')gZ,ginfo
write(funit1,'(l2)')eswitch
!write branching info
do i=1,ic_n
write(funit1,'(i4)')ic_nBrnch(i)
if(ic_nBrnch(i)>0) then
write(fmt,'(a,i5,a)') '(',2*ic_nBrnch(i),'E28.18)'
write(funit1,fmt)ic_brnch(i,1:ic_nBrnch(i),1),ic_brnch(i,1:ic_nBrnch(i),2)
endif
enddo
!write the node info
do i=1,ic_n
write(funit1,'(2l2,2i6)')ic_done(i),ic_reme(i),ic_fNode(i),ic_npt(i)
write(funit1,'(3E28.18)')ic_vnow(i),ic_Z(i),ic_info(i)
if(ceff) write(funit1,'(1E28.18)')ic_eff(i,4)
enddo
close(funit1)
endif
!fback
if(fback) call gfeedback(gZ,numlike,globff,.false.)
call pos_samp(Ztol,globff,broot,nlive,ndims,nCdims,totPar,multimodal,outfile,gZ,ginfo,ic_n,ic_Z(1:ic_n), &
ic_info(1:ic_n),ic_reme(1:ic_n),ic_vnow(1:ic_n),ic_npt(1:ic_n),ic_nBrnch(1:ic_n),ic_brnch(1:ic_n,:,1),phyP(:,1:nlive), &
l(1:nlive),evDataAll,dumper,context)
!if done then add in the contribution to the global evidence from live points
j=0
do i1=1,ic_n
!live point's contribution to the evidence
logX=log(ic_vnow(i1)/dble(ic_npt(i1)))
do i=j+1,j+ic_npt(i1)
d1=l(i)+logX
!global evidence
gZold=gZ
gZ=LogSumExp(gZ,d1)
!ginfo=exp(d1-gZ)*l(i)+exp(gZold-gZ)*(ginfo+gZold)-gZ
ginfo=ginfo*exp(gZold-gZ)+exp(d1-gZ)*l(i)
!local evidence
!gZold=ic_Z(i1)
ic_Zold(i1)=ic_Z(i1)
ic_Z(i1)=LogSumExp(ic_Z(i1),d1)
!ic_info(i1)=exp(d1-ic_Z(i1))*l(i)+ &
!exp(gZold-ic_Z(i1))*(ic_info(i1)+gZold)-ic_Z(i1)
ic_info(i1)=ic_info(i1)*exp(ic_zold(i1)-ic_Z(i1))+exp(d1-ic_Z(i1))*l(i)
enddo
j=j+ic_npt(i1)
enddo
ginfo=ginfo-gZ
!memory deallocation
deallocate(sc_npt, sc_invcov, sc_node, sc_eval, sc_evec)
deallocate(nptk, nptx, meank, evalk, invcovk, tMatk, eveck, kfack, effk, volk, &
nodek ,sck)
deallocate(pt, aux)
deallocate(ic_fNode,ic_nsc,ic_nBrnch,ic_brnch,ic_reme,ic_rFlag,ic_Z,ic_zold, &