# To unbundle, sh this file
echo README 1>&2
cat >README <<'End of README'
To build the library needed to run SCHED type:
make sched; make graph
make sched will produce the SCHED library in file sched.a .
This is the standard libarary for SCHED.
make graph will produce the trace version of SCHED in file graph.a .
This version produces output which can be viewed using the
Schedule Trace Facility.
To run some tests type:
make xeig; xeig
The will make and run a test program which computers the eigenvalues
of a symmetric tridiagonal eigenvalue problem using a divide and
conquer technique.
make geig; geig
This does the same as about only uses the graph lib, which produces
a trace file.
A complete make and run can be carried out by doing:
sh testrun > testout
diff oldtest testout
End of README
echo d_and_c.f 1>&2
cat >d_and_c.f <<'End of d_and_c.f'
integer a(256),klevl(8),myid(256)
external top
write(6,*) ' input nprocs nlevls '
read (5,*) nprocs,nlevls
do 50 j = 1,8
klevl(j) = j
50 continue
call sched(nprocs,top,a,nlevls,klevl,myid)
do 100 j = 1,2**nlevls-1
write(6,*) a(j)
100 continue
stop
end
subroutine top(a,nlevls,klevl,myid)
integer a(*),klevl(*),myid(*)
external split
c write(6,*) ' from top ' , a(1)
jobtag = 1
icango =0
nchks = 0
myid(1) = 1
a(1) = 1
c
call dep(jobtag,icango,nchks,mychkn)
call putq(jobtag,split,myid,a,nlevls,klevl)
c
return
end
subroutine split(myid,a,nlevls,klevl)
integer a(*),klevl(*),myid(*),rnode
external clone
c write(6,*) ' from split ',a(1)
c
if (klevl(1) .ge. nlevls) return
c
lnode = 2*a(1)
rnode = lnode + 1
indx = lnode - a(1) + 1
a(indx) = lnode
a(indx+1) = rnode
mytag = myid(a(1))
c
call nxtag(mytag,jobtag)
myid(lnode) = jobtag
call spawn(mytag,jobtag,clone,myid,a(indx),nlevls,klevl(2))
c
call nxtag(mytag,jobtag)
myid(rnode) = jobtag
call spawn(mytag,jobtag,clone,myid,a(indx+1),nlevls,klevl(2))
c
return
end
End of d_and_c.f
echo data 1>&2
cat >data <<'End of data'
1
1
End of data
echo ftsubs.f 1>&2
cat >ftsubs.f <<'End of ftsubs.f'
subroutine chekin(jobtag)
CVD$R NOCONCUR
integer jobtag
c***********************************************************************
c
c this subroutine reports unit of computation labeled by
c jobtag has completed to all dependent nodes. these nodes are
c recorded in parmq(i,jobtag) where 6 .le. i .le. nchks+5
c checkin consists of decrementing the value in each of these
c locations by 1. each of these is done in a critical section
c protected by qlock(ichek)
c
c if the value in parmq(2,ichek) is 0 where ichek is a process
c dependent upon this one then ichek is placed on the readyq
c by entering the critical section protected by rtlock. the
c pointer rtail to the tail of the readyq is incremented
c unless task done is to be recorded. task done is placed on
c the ready q and the pointer rtail left in place if nchks .eq. 0
c is found.
c
c see the common block description in libopn for more detail.
c
c***********************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c a complete common block description is given in the routine libopn
c
c****************************************************************************
c
c check to see if this process has completed. if not do not checkin
c
c first ask if any kids spawned by jobtag
c
if (parmq(4,jobtag) .ne. 0 .or. parmq(5,jobtag) .ne. 0 ) then
c
c either kids have been spawned or ientry has been referenced
c indicating reentry is required
c
c
c find out how many are waiting to complete
c
if (parmq(4,jobtag) .ne. 0) then
call lockon(qlock(jobtag))
parmq(2,jobtag) = parmq(2,jobtag) - parmq(4,jobtag)
call lockoff(qlock(jobtag))
endif
c
c reset number of kids
c
parmq(4,jobtag) = 0
c
c update the number of times this procedure has been
c entered
c
parmq(1,jobtag) = parmq(1,jobtag) + 1
c
c return without checkin if all the kids have not
c checked in to jobtag yet or if a reentry is required.
c process jobtag is not done in either case.
c
if (parmq(2,jobtag) .ne. 0 ) return
c
c if ientry has been called but jobtag is not waiting
c on any kids then jobtag is placed back on the readyq
c
if ( parmq(5,jobtag) .ne. 0) then
iwrkr = mod(jobtag,mxces) + 1
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = jobtag
rtail(iwrkr) = rtail(iwrkr) + 1
call lockoff(trlock(iwrkr))
return
endif
endif
c
c the process has completed so chekin proceeds
c
cgraph call lockon(qlock(mxprcs))
cgraph if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
cgraph insrt = endgrf
cgraph endgrf = endgrf + 1
cgraph call lockoff(qlock(mxprcs))
cgraph if (jobtag .ge. intspn) then
cgraph igraph(1,insrt) = 5
cgraph igraph(2,insrt) = parmq(6,jobtag)
cgraph igraph(3,insrt) = jobtag
cgraph igraph(4,insrt) = second(foo)
cgraph else
cgraph igraph(1,insrt) = 2
cgraph igraph(2,insrt) = jobtag
cgraph igraph(3,insrt) = second(foo)
cgraph endif
c
nchks = parmq(3,jobtag)
c
c if this is the final process (indicated by nchks .eq. 0) then
c record task done. do not advance the tail so task done sequence
c is set. all subsequent gtprb queries will leave rhead .eq. rtail
c with readyq(rhead) .eq. done.
c
if (nchks .eq. 0) then
do 20 iwrkr = 1,mxces
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = done
call lockoff(trlock(iwrkr))
return
20 continue
endif
do 50 j = 6,nchks+5
mychek = parmq(j,jobtag)
c
c get unique access to the checkin node mychek
c and checkin by decrementing the appropriate counter
c
mchkgo = 1
call lockon(qlock(mychek))
parmq(2,mychek) = parmq(2,mychek) - 1
mchkgo = parmq(2,mychek)
call lockoff(qlock(mychek))
c
c place mychek on readyq if parmq(2,mychek) is 0
c
if (mchkgo .eq. 0 ) then
iwrkr = mod(mychek,mxces) + 1
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = mychek
rtail(iwrkr) = rtail(iwrkr) + 1
call lockoff(trlock(iwrkr))
endif
50 continue
return
c
c last card of chekin
c
end
subroutine dep(jobtag,icango,nchks,mychkn)
CVD$R NOCONCUR
integer jobtag,icango,nchks,mychkn(*)
c*************************************************************************
c
c warning - this routine may only be used by driver in a static definition
c of the data dependencies in the task.
c
c
c usage
c subroutine xxx(<parms>)
c external yyy
c .
c .
c .
c call dep(jobtag,icango,nchks,mychkn)
c call putq(jobtag,yyy,<parms2>)
c .
c .
c .
c
c this subroutine puts data dependencies for problem on the queue.
c no synchronization is necessary because each index of a column of
c parmq is associated with a jobtag specified by the user and
c associated with a unique unit of computation. the arguments of
c dep specify a the data dependencies associated with the unit of
c computation labeled by jobtag and are placed in a column of parmq
c to the menue specified below.
c
c jobtag is an integer specifying a unique schedulable process
c
c
c icango is a positive integer specifying how many processes must check in
c to this process before it can be placed on the readyq.
c
c nchks is the number of processes that depend upon the completion of
c this process.
c
c mychkn is an integer array specifying the jobtags of the processes
c which depend upon completion of this process.
c
c*************************************************************************
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c for a complete common block description see the subroutine libopn
c
c
c place process jobtag on the problem queue
c no synchronization required to update qtail since
c only one program work executes this code.
c
if ((jobtag .le. 0 .or. jobtag .gt. mxprcs) .or.
& icango .lt. 0 .or. nchks .lt. 0) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' incorrect specification of dependencies '
write(6,*) ' all DEP parameters must be non-negative'
write(6,*) ' input was '
write(6,*) ' jobtag ',jobtag ,'.... must be postitive '
write(6,*) ' but less than ',mxprcs
write(6,*) ' icango ',icango
write(6,*) ' nchks ',nchks
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
c
endif
qtail = qtail + 1
next = jobtag
parmq(1,next) = 1
parmq(2,next) = icango
parmq(3,next) = nchks
parmq(4,next) = 0
c
c check to see that exactly one node has ncheks set to 0
c
if (nchks .eq. 0 .and. done .eq. 0) then
done = -2
else
if (nchks .eq. 0) done = 0
endif
c
c specify identifiers of processes which depend on this one
c if there are too many abort
c
if (nchks .gt. nslots - 5) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' attempt to place too many dependencies '
write(6,*) ' on chekin list during call to dep '
write(6,*) ' with jobtag ',jobtag
write(6,*) ' '
write(6,*) ' user tried to place ',nchks ,' dependencies '
write(6,*) ' the maximum number is ',nslots - 5
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
c
endif
do 50 j = 1,nchks
parmq(j+5,next) = mychkn(j)
c
if (mychkn(j) .le. 0) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' incorrect specification of dependencies '
write(6,*) ' all mychkn entries must be positive'
write(6,*) ' input was '
write(6,*) ' mychkn(',j,') = ',mychkn(j)
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
c
50 continue
cgraph call lockon(qlock(mxprcs))
cgraph if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
cgraph insrt = endgrf
cgraph endgrf = endgrf + 1
cgraph call lockoff(qlock(mxprcs))
cgraph igraph(1,insrt) = 0
cgraph igraph(2,insrt) = jobtag
cgraph igraph(3,insrt) = icango
cgraph igraph(4,insrt) = nchks
cgraph do 9001 jnsrt = 6,nchks + 5
cgraph igraph(jnsrt-1,insrt) = parmq(jnsrt,next)
cgraph 9001 continue
c
return
c
c last card of dep
c
end
integer function gtprb(id,jobtag)
CVD$R NOCONCUR
c**************************************************************************
c
c this function gets unique access to the head of the readyq
c pointed to by id and then claims the pointer to the next
c schedulable process if there is one and returns with a nonzero
c value when there is a process to schedule. if there are no entries
c in the readyq indexed by id then the remaning ready ques are
c polled in a round robin manner until schedulable process is found
c or task done is recorded. if task done has been recorded the value
c zero is returned in gtprb. if a nonzero value is returned in gtprb,
c the integer jobtag will contain the identifier of the unit of
c computation that is to be executed.
c
c input parameter
c
c id an integer specifying which readyq to access first
c for work to do.
c
c output parameters
c
c jobtag an integer containing the next process to be executed
c
c gtprb the return value of this integer function is:
c
c 0 if task done has been posted
c
c nonzero if a schedulable process has been claimed.
c
c
c***************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c common block description:
c
c for a complete common block description see the routine libopn
c
c
nspins = 0
fsave = second(foo)
iwrkr = id
10 continue
mhead = -1
call lockon(hrlock(iwrkr))
c
c gain access to head of readyq. if task done has not been recorded
c then increment the head of the readyq. otherwise the head pointer
c is left fixed so the next active process will receive task done.
c
if (rhead(iwrkr) .lt. rtail(iwrkr)) then
mhead = rhead(iwrkr)
rhead(iwrkr) = rhead(iwrkr) + 1
endif
call lockoff(hrlock(iwrkr))
if (mhead .gt. 0) then
c
c there was a work unit on the readyq
c
jobtag = readyq(mhead,iwrkr)
cgraph call lockon(qlock(mxprcs))
cgraph if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
cgraph insrt = endgrf
cgraph endgrf = endgrf + 1
cgraph call lockoff(qlock(mxprcs))
cgraph if (jobtag .ge. intspn) then
cgraph igraph(1,insrt) = 4
cgraph igraph(2,insrt) = parmq(6,jobtag)
cgraph igraph(3,insrt) = jobtag
cgraph igraph(4,insrt) = second(foo)
cgraph else
cgraph igraph(1,insrt) = 1
cgraph igraph(2,insrt) = jobtag
cgraph igraph(3,insrt) = second(foo)
cgraph endif
c
if (jobtag .ne. done) then
c
c record the subroutine call identifier in gtprb and return
c the process identifier in jobtag.
c
gtprb = parmq(1,jobtag)
if (gtprb .gt. 1 .and. parmq(5,jobtag) .eq. 0) gtprb = -1
c
else
c
c task done has been indicated. request a return from subroutine work
c by returning the value 0 in gtprb.
c
gtprb = 0
c
endif
else
c
jobtag = readyq(rhead(iwrkr),iwrkr)
if (jobtag .eq. done) then
c
c task done has been posted
c
gtprb = 0
c
else
c
c there was not any work on the readyq
c
iwrkr = mod((iwrkr+1),mxces)
if (iwrkr .eq. 0) iwrkr = mxces
nspins = nspins + 1
if (mod(nspins,mxces) .eq. 0) call nops
go to 10
c
endif
endif
return
c
c last card of gtprb
c
end
subroutine libopn(nproc)
integer nproc
c************************************************************************
c
c this routine sets locks and initializes variables
c and then spawns nproc generic work routines.
c
c nproc is a positive integer. care should be taken to
c match nproc to the number of physical processors
c available.
c
c************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
integer ispace(mxces)
c
c common block description:
c
c common/qdata/
c
c parmq is a two dimensional integer array. each column of
c this array represents a schedulable process. a process is
c identified by its jobtag which corresponds to a unique
c column of parmq. a column of parmq has the following
c entries
c
c parmq(1,jobtag) = nentries
c a nonzero integer. if process jobtag
c is on the readyq then this integer
c is equal to the one plus number of times
c process jobtag has been entered.
c thus when work executes this process
c the integer is equal to the number
c of times the process has been entered.
c
c parmq(2,jobtag) = icango
c an integer specifying the number
c of processes that must check in
c before this process may scheduled
c (ie. be placed on the ready queue)
c
c parmq(3,jobtag) = nchks
c an integer specifying the number
c of processes that this process
c must checkin to. identifiers of
c these processes are recorded below.
c if nchks .eq. 0 then completion of
c this process signifies completion of
c task.
c
c parmq(4,jobtag) = the number of kids spawned by this
c process. if this value is zero
c then this process has not spawned
c any subprocesses.
c
c parmq(5,jobtag) = entry_flag
c has the value 1 if ientry was called
c has the value 0 otherwise
c
c parmq(6:6+nchks,jobtag) is reserved for identifiers of the
c nchks
c processes that must wait for completion
c of this process before they can execute.
c
c
c phead pointer to head of parmq
c
c intspn pointer to first spawned process. all jobtags
c with values greater than or equal to intspn will
c be spawned processes.
c
c readyq a two dimensional integer array that holds the jobtags of those
c processes that are ready to execute. the k-th column of
c this array serves as a readyq for the k-th work routine.
c on executing gtprb, the k-th work routine will look for work
c in the k-th readyq first and then the others (round robin).
c if readyq(j,id) .eq. done has been set then a return from
c subroutine work(*,*,id) is indicated.
c
c rhead an integer array. the i-th entry of rhead is a pointer to the
c head of the i-th column of readyq
c
c rtail an integer array. the i-th entry of rtail is a pointer to the
c tail of the i-th column of readyq
c
c
c common/sync/
c
c qlock is an integer array of locks. there is one lock for each
c column of parmq. the purpose of this lock is to ensure
c unique access to a column of parmq during the checkin operation.
c
c hrlock is an integer lock. the purpose of this lock is to ensure
c unique access to the pointer rhead to the head of the readyq.
c
c trlock is an integer lock. the purpose of this lock is to ensure
c unique access to the pointer rtail to the tail of the readyq.
c
c done is a unique non positive integer set in libopn to indicate
c task done.
c
c common /gphout/
c
c endgrf is an integer pointing to the next available
c slot in igraph
c
c igraph is a two dimensional integer array
c used as a buffer for graphics output
c each column of igraph records an event.
c
c
if (nproc .gt. mxces) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' user asking for more physical processors'
write(6,*) ' than are available on this system '
write(6,*) ' the maximum allowed is nproc = ',mxces
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
c
jobtag = next
done = -1
c
c set qlocks off
c initialize readyq(*) = -1 to set done sequence
c initialize reentry indicator in parmq(5,*)
c
do 50 j = 1,mxces
hrlock(j) = 0
trlock(j) = 0
rhead(j) = 1
rtail(j) = 1
do 20 i = 1,iprcs
readyq(i,j) = -1
20 continue
50 continue
c
do 100 j = 1,mxprcs
qlock(j) = 0
parmq(5,j) = 0
100 continue
c
c set readyq locks off
c
tqlock = 0
c
c initialize queue pointers
c
phead = 1
intspn = 1
qtail = 2
next = 1
endgrf = 1
cgraph open( file='trace.graph',unit=3)
c
c set lock on pointer to head of readyq so
c no process may start until all process and data dependencies
c have been specified by the user supplied routine driver.
c
do 150 j = 1,mxces
call lockon(hrlock(j))
150 continue
c
c now spawn virtual processors. these generic work routines will
c assume the identity of any schedulable process specified by driver.
c
CVD$L CNCALL
do 200 j = 1,nproc
call work(j,ispace(j))
200 continue
cgraph call dump(endgrf,igraph)
return
c
c last card of libopn
c
end
subroutine nxtag(mypar,jobtag)
CVD$R NOCONCUR
integer mypar,jobtag
c*************************************************************************
c
c
c this subroutine puts data dependencies for problem on the queue.
c no synchronization
c is necessary because each index of a column of parmq is associated
c with a jobtag specified by the user and associated with a unique
c schedulable process. the arguments of putq specify a process and are
c placed in a column of jobq according to the menue specified in the
c common block description given below.
c
c jobtag is an integer specifying a unique schedulable process
c
c
c icango is a positive integer specifying how many processes must check in
c to this process before it can be placed on the readyq.
c
c nchks is the number of processes that depend upon the completion of
c this process.
c
c mchkin is an integer array specifying the jobtags of the processes
c which depend upon completion of this process.
c
c*************************************************************************
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c for a complete common block description see the subroutine libopn
c
c
c
c place this process on the next slot in the problem queue
c
call lockon(qtlock)
next = qtail
qtail = qtail + 1
call lockoff(qtlock)
c
cgraph call lockon(qlock(mxprcs))
cgraph if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
cgraph insrt = endgrf
cgraph endgrf = endgrf + 1
cgraph call lockoff(qlock(mxprcs))
cgraph igraph(1,insrt) = 3
cgraph igraph(2,insrt) = mypar
cgraph igraph(3,insrt) = next
c
if ( next .gt. mxprcs) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' user attempt to create too many processes'
write(6,*) ' through dynamic spawning '
write(6,*) ' the maximum allowed is ',mxprcs
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
c
jobtag = next
parmq(1,next) = 1
parmq(2,next) = 0
parmq(3,next) = 1
parmq(6,next) = mypar
c
c update the icango counter of the parent process
c by adding 2 to parmq(2,mypar)... prevents race condition.
c add 1 to the number of kids spawned by parent mypar
c
call lockon(qlock(mypar))
parmq(2,mypar) = parmq(2,mypar) + 2
parmq(4,mypar) = parmq(4,mypar) + 1
call lockoff(qlock(mypar))
c
c set number of kids spawned by next to zero
c
parmq(4,next) = 0
c
c
c
return
c
c last card of nxtag
c
end
subroutine start2
c
c this routine allows parallel processing to start after user supplied
c driver has completed by unlocking the head of the readyq
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
logical nostrt
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c for common block description see subroutine libopn.
c
if (done .ne. 0) then
write(6,*) '*************SCHED USER ERROR********************'
if (done .eq. -1 ) then
write(6,*) ' no process has set nchks equal to 0 '
else
write(6,*) ' more than one process has set nchks to 0 '
endif
write(6,*) ' SCHEDULE will not be able to terminate job'
write(6,*) ' correctly '
write(6,*) ' '
write(6,*) ' check subroutine passed to initial call to'
write(6,*) ' to see that at exactly one call to DEP has '
write(6,*) ' set nchks = 0 '
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
c
nostrt = .true.
do 100 iwrkr = 1,mxces
if (rhead(iwrkr) .ne. rtail(iwrkr)) nostrt = .false.
100 continue
if (nostrt) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' no process had an intitial icango of 0 '
write(6,*) ' SCHEDULE could not begin '
write(6,*) ' '
write(6,*) ' check subroutine passed to initial call to'
write(6,*) ' to see that at least one call to DEP has '
write(6,*) ' set icango = 0 '
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
intspn = qtail
c
do 200 iwrkr = 1,mxces
call lockoff(hrlock(iwrkr))
200 continue
c
return
c
c last card of start2
c
end
subroutine place(jobtag)
CVD$R NOCONCUR
integer jobtag
c*************************************************************************
c
c
c this subroutine places a problem on the readyq
c
c jobtag is an integer specifying a unique schedulable process
c
c
c icango is a positive integer specifying how many processes must check in
c to this process before it can be placed on the readyq.
c
c nchks is the number of processes that depend upon the completion of
c this process.
c
c mchkin is an integer array specifying the jobtags of the processes
c which depend upon completion of this process.
c
c*************************************************************************
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c for a complete common block description see the subroutine libopn
c
c
c
c place this process on readyq if icango is 0
c when icango .eq. 0 this process does not depend on any
c others.
c
icango = parmq(2,jobtag)
iwrkr = mod(jobtag,mxces) + 1
if (icango .eq. 0 ) then
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = jobtag
rtail(iwrkr) = rtail(iwrkr) + 1
call lockoff(trlock(iwrkr))
endif
c
c last card of place
c
return
end
integer function ientry(jobtag,nentrs)
c
integer jobtag
c*****************************************************************************
c
c this routine will allow process jobtag to continue after
c spawned processes have all checked in. it should only be called if
c processes have been spawned by jobtag through the use of
c the subroutine spawn.
c
c go to (1000,2000,...,N000), ientry(jobtag,N)
c 1000 continue
c .
c .
c .
c do 10 j = 1,nproc
c .
c . (set parameters to define spawned process)
c .
c call nxtag(myid,jobtag)
c call spawn(myid,jobtag,subname,<parms>)
c 10 continue
c return
c 2000 continue
c .
c .
c .
c return
c N000 continue
c <statements>
c return
c end
c
c this subroutine returns the number of times process jobtag
c has been entered. if that number is equal to the total
c number nentrs of expected reentries then parmq(5,jobtag)
c is set to 0 indicating no more reentries required.
c
c*****************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
cgraph integer endgrf
cgraph real igraph
cgraph common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c report the entry point where process jobtag should resume
c computation
c
if (nentrs .lt. 2) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' user call to IENTRY with number of '
write(6,*) ' labels in nentrs set less than 2 '
write(6,*) ' from process ',jobtag
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
ientry = parmq(1,jobtag)
if (ientry .lt. nentrs) then
parmq(5,jobtag) = nentrs
else
parmq(5,jobtag) = 0
endif
c
return
c
c last card of ientry
c
end
subroutine dump(endgrf,igraph)
parameter (nslots = 30,nbuffr = 500)
integer endgrf
real igraph(nslots,nbuffr)
integer ievent(nslots)
c
c this routine writes graphics output to a file
c and resets endgrf to 1
c
c do 100 j = 1,endgrf
c write(6,15) (igraph(i,j),i = 1,nslots)
c 100 continue
c 15 format('dump: igraph',30f5.1)
do 300 j = 1,endgrf-1
do 302 i = 1,nslots
ievent(i) = igraph(i,j)
302 continue
if( ievent(1) .eq. 0 )
$ write(3,301) (ievent(i),i=1,ievent(4)+4)
if( ievent(1) .eq. 1 )
$ write(3,303) (ievent(i),i=1,2),igraph(3,j)
if( ievent(1) .eq. 2 )
$ write(3,303) (ievent(i),i=1,2),igraph(3,j)
if( ievent(1) .eq. 3 )
$ write(3,301) (ievent(i),i=1,3)
if( ievent(1) .eq. 4 )
$ write(3,304) (ievent(i),i=1,3),igraph(4,j)
if( ievent(1) .eq. 5 )
$ write(3,304) (ievent(i),i=1,3),igraph(4,j)
301 format(14i8)
303 format(2i8,1pe16.8)
304 format(3i8,1pe16.8)
300 continue
c
endgrf = 1
c
return
end
logical function wait(jobtag,ienter)
c
integer jobtag,ienter
c*****************************************************************************
c
c this routine will allow process jobtag to continue after
c spawned processes have all checked in. it should only be called if
c processes have been spawned by jobtag through the use of
c the subroutine spawn. this routine must be used in conjunction with
c subroutine prtspn. the required syntax is
c
c go to (1000,...,L000,...,N000), ientry(mytag,N)
c 1000 continue
c .
c .
c .
c do 100 j = 1,nproc
c .
c . (set parameters to define spawned process)
c .
c call nxtag(mytag,jobtag)
c call spawn(mytag,jobtag,subname,<parms>)
c 100 continue
c label = L
c if (wait(jobtag,label)) return
c L000 continue
c .
c .
c .
c
c if this subroutine returns a value of .true. then the calling process
c jobtag should issue a return. if a value of .false. is returned then
c the calling process jobtag should resume execution at the
c statement immediately following the reference to wait (ie. at L000 in
c the example above. a return value .true. indicates that some spawned
c process has not yet completed and checked in. a return value .false.
c indicates all spawned processes have checked in.
c
c*****************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
c
c
c check the icango counter to see if all spawned processes (kids)
c have checked in.
c
icango = 1
call lockon(qlock(jobtag))
icango = parmq(2,jobtag) - parmq(4,jobtag)
call lockoff(qlock(jobtag))
c
if (icango .eq. 0) then
c
c all kids are done ... dont wait (ie return false)
c
wait = .false.
c
c record re_entry label where computation is to
c resume after wait is complete
c
parmq(1,jobtag) = ienter
c
if (ienter .gt. parmq(5,jobtag)) then
write(6,*) '*************SCHED USER ERROR*****************'
write(6,*) ' executing SCHEDULE function WAIT '
write(6,*) ' return label larger than the maximum '
write(6,*) ' specified by user in call to ientry '
write(6,*) ' from process jobtag ',jobtag
write(6,*) ' '
write(6,*) ' the maximum reentry number is '
write(6,*) ' ', parmq(5,jobtag)
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
cgraph call dump(endgrf,igraph)
stop
endif
c
c set last re_entry indication (parmq(5,jobtag) = 0)
c if this reentry point corresponds to last one
c (recorded in parmq(5,jobtag) during call to ientry)
c
if (ienter .eq. parmq(5,jobtag)) parmq(5,jobtag) = 0
c
else
c
c kids are not done
c
wait = .true.
c
c a checkin will be made so set the number of
c entries to return label ienter - 1 to get
c correct entry point after checkin
c
parmq(1,jobtag) = ienter - 1
c
endif
c
return
c
c last card of wait
c
end
End of ftsubs.f
echo ftsubs.graph.f 1>&2
cat >ftsubs.graph.f <<'End of ftsubs.graph.f'
subroutine chekin(jobtag)
CVD$R NOCONCUR
integer jobtag
c***********************************************************************
c
c this subroutine reports unit of computation labeled by
c jobtag has completed to all dependent nodes. these nodes are
c recorded in parmq(i,jobtag) where 6 .le. i .le. nchks+5
c checkin consists of decrementing the value in each of these
c locations by 1. each of these is done in a critical section
c protected by qlock(ichek)
c
c if the value in parmq(2,ichek) is 0 where ichek is a process
c dependent upon this one then ichek is placed on the readyq
c by entering the critical section protected by rtlock. the
c pointer rtail to the tail of the readyq is incremented
c unless task done is to be recorded. task done is placed on
c the ready q and the pointer rtail left in place if nchks .eq. 0
c is found.
c
c see the common block description in libopn for more detail.
c
c***********************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c a complete common block description is given in the routine libopn
c
c****************************************************************************
c
c check to see if this process has completed. if not do not checkin
c
c first ask if any kids spawned by jobtag
c
if (parmq(4,jobtag) .ne. 0 .or. parmq(5,jobtag) .ne. 0 ) then
c
c either kids have been spawned or ientry has been referenced
c indicating reentry is required
c
c
c find out how many are waiting to complete
c
if (parmq(4,jobtag) .ne. 0) then
call lockon(qlock(jobtag))
parmq(2,jobtag) = parmq(2,jobtag) - parmq(4,jobtag)
call lockoff(qlock(jobtag))
endif
c
c reset number of kids
c
parmq(4,jobtag) = 0
c
c update the number of times this procedure has been
c entered
c
parmq(1,jobtag) = parmq(1,jobtag) + 1
c
c return without checkin if all the kids have not
c checked in to jobtag yet or if a reentry is required.
c process jobtag is not done in either case.
c
if (parmq(2,jobtag) .ne. 0 ) return
c
c if ientry has been called but jobtag is not waiting
c on any kids then jobtag is placed back on the readyq
c
if ( parmq(5,jobtag) .ne. 0) then
iwrkr = mod(jobtag,mxces) + 1
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = jobtag
rtail(iwrkr) = rtail(iwrkr) + 1
call lockoff(trlock(iwrkr))
return
endif
endif
c
c the process has completed so chekin proceeds
c
call lockon(qlock(mxprcs))
if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
insrt = endgrf
endgrf = endgrf + 1
call lockoff(qlock(mxprcs))
if (jobtag .ge. intspn) then
igraph(1,insrt) = 5
igraph(2,insrt) = parmq(6,jobtag)
igraph(3,insrt) = jobtag
igraph(4,insrt) = second(foo)
else
igraph(1,insrt) = 2
igraph(2,insrt) = jobtag
igraph(3,insrt) = second(foo)
endif
c
nchks = parmq(3,jobtag)
c
c if this is the final process (indicated by nchks .eq. 0) then
c record task done. do not advance the tail so task done sequence
c is set. all subsequent gtprb queries will leave rhead .eq. rtail
c with readyq(rhead) .eq. done.
c
if (nchks .eq. 0) then
do 20 iwrkr = 1,mxces
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = done
call lockoff(trlock(iwrkr))
return
20 continue
endif
do 50 j = 6,nchks+5
mychek = parmq(j,jobtag)
c
c get unique access to the checkin node mychek
c and checkin by decrementing the appropriate counter
c
mchkgo = 1
call lockon(qlock(mychek))
parmq(2,mychek) = parmq(2,mychek) - 1
mchkgo = parmq(2,mychek)
call lockoff(qlock(mychek))
c
c place mychek on readyq if parmq(2,mychek) is 0
c
if (mchkgo .eq. 0 ) then
iwrkr = mod(mychek,mxces) + 1
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = mychek
rtail(iwrkr) = rtail(iwrkr) + 1
call lockoff(trlock(iwrkr))
endif
50 continue
return
c
c last card of chekin
c
end
subroutine dep(jobtag,icango,nchks,mychkn)
CVD$R NOCONCUR
integer jobtag,icango,nchks,mychkn(*)
c*************************************************************************
c
c warning - this routine may only be used by driver in a static definition
c of the data dependencies in the task.
c
c
c usage
c subroutine xxx(<parms>)
c external yyy
c .
c .
c .
c call dep(jobtag,icango,nchks,mychkn)
c call putq(jobtag,yyy,<parms2>)
c .
c .
c .
c
c this subroutine puts data dependencies for problem on the queue.
c no synchronization is necessary because each index of a column of
c parmq is associated with a jobtag specified by the user and
c associated with a unique unit of computation. the arguments of
c dep specify a the data dependencies associated with the unit of
c computation labeled by jobtag and are placed in a column of parmq
c to the menue specified below.
c
c jobtag is an integer specifying a unique schedulable process
c
c
c icango is a positive integer specifying how many processes must check in
c to this process before it can be placed on the readyq.
c
c nchks is the number of processes that depend upon the completion of
c this process.
c
c mychkn is an integer array specifying the jobtags of the processes
c which depend upon completion of this process.
c
c*************************************************************************
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c for a complete common block description see the subroutine libopn
c
c
c place process jobtag on the problem queue
c no synchronization required to update qtail since
c only one program work executes this code.
c
if ((jobtag .le. 0 .or. jobtag .gt. mxprcs) .or.
& icango .lt. 0 .or. nchks .lt. 0) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' incorrect specification of dependencies '
write(6,*) ' all DEP parameters must be non-negative'
write(6,*) ' input was '
write(6,*) ' jobtag ',jobtag ,'.... must be postitive '
write(6,*) ' but less than ',mxprcs
write(6,*) ' icango ',icango
write(6,*) ' nchks ',nchks
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
c
endif
qtail = qtail + 1
next = jobtag
parmq(1,next) = 1
parmq(2,next) = icango
parmq(3,next) = nchks
parmq(4,next) = 0
c
c check to see that exactly one node has ncheks set to 0
c
if (nchks .eq. 0 .and. done .eq. 0) then
done = -2
else
if (nchks .eq. 0) done = 0
endif
c
c specify identifiers of processes which depend on this one
c if there are too many abort
c
if (nchks .gt. nslots - 5) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' attempt to place too many dependencies '
write(6,*) ' on chekin list during call to dep '
write(6,*) ' with jobtag ',jobtag
write(6,*) ' '
write(6,*) ' user tried to place ',nchks ,' dependencies '
write(6,*) ' the maximum number is ',nslots - 5
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
c
endif
do 50 j = 1,nchks
parmq(j+5,next) = mychkn(j)
c
if (mychkn(j) .le. 0) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' incorrect specification of dependencies '
write(6,*) ' all mychkn entries must be positive'
write(6,*) ' input was '
write(6,*) ' mychkn(',j,') = ',mychkn(j)
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
c
50 continue
call lockon(qlock(mxprcs))
if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
insrt = endgrf
endgrf = endgrf + 1
call lockoff(qlock(mxprcs))
igraph(1,insrt) = 0
igraph(2,insrt) = jobtag
igraph(3,insrt) = icango
igraph(4,insrt) = nchks
do 9001 jnsrt = 6,nchks + 5
igraph(jnsrt-1,insrt) = parmq(jnsrt,next)
9001 continue
c
return
c
c last card of dep
c
end
integer function gtprb(id,jobtag)
CVD$R NOCONCUR
c**************************************************************************
c
c this function gets unique access to the head of the readyq
c pointed to by id and then claims the pointer to the next
c schedulable process if there is one and returns with a nonzero
c value when there is a process to schedule. if there are no entries
c in the readyq indexed by id then the remaning ready ques are
c polled in a round robin manner until schedulable process is found
c or task done is recorded. if task done has been recorded the value
c zero is returned in gtprb. if a nonzero value is returned in gtprb,
c the integer jobtag will contain the identifier of the unit of
c computation that is to be executed.
c
c input parameter
c
c id an integer specifying which readyq to access first
c for work to do.
c
c output parameters
c
c jobtag an integer containing the next process to be executed
c
c gtprb the return value of this integer function is:
c
c 0 if task done has been posted
c
c nonzero if a schedulable process has been claimed.
c
c
c***************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c common block description:
c
c for a complete common block description see the routine libopn
c
c
nspins = 0
fsave = second(foo)
iwrkr = id
10 continue
mhead = -1
call lockon(hrlock(iwrkr))
c
c gain access to head of readyq. if task done has not been recorded
c then increment the head of the readyq. otherwise the head pointer
c is left fixed so the next active process will receive task done.
c
if (rhead(iwrkr) .lt. rtail(iwrkr)) then
mhead = rhead(iwrkr)
rhead(iwrkr) = rhead(iwrkr) + 1
endif
call lockoff(hrlock(iwrkr))
if (mhead .gt. 0) then
c
c there was a work unit on the readyq
c
jobtag = readyq(mhead,iwrkr)
call lockon(qlock(mxprcs))
if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
insrt = endgrf
endgrf = endgrf + 1
call lockoff(qlock(mxprcs))
if (jobtag .ge. intspn) then
igraph(1,insrt) = 4
igraph(2,insrt) = parmq(6,jobtag)
igraph(3,insrt) = jobtag
igraph(4,insrt) = second(foo)
else
igraph(1,insrt) = 1
igraph(2,insrt) = jobtag
igraph(3,insrt) = second(foo)
endif
c
if (jobtag .ne. done) then
c
c record the subroutine call identifier in gtprb and return
c the process identifier in jobtag.
c
gtprb = parmq(1,jobtag)
if (gtprb .gt. 1 .and. parmq(5,jobtag) .eq. 0) gtprb = -1
c
else
c
c task done has been indicated. request a return from subroutine work
c by returning the value 0 in gtprb.
c
gtprb = 0
c
endif
else
c
jobtag = readyq(rhead(iwrkr),iwrkr)
if (jobtag .eq. done) then
c
c task done has been posted
c
gtprb = 0
c
else
c
c there was not any work on the readyq
c
iwrkr = mod((iwrkr+1),mxces)
if (iwrkr .eq. 0) iwrkr = mxces
nspins = nspins + 1
if (mod(nspins,mxces) .eq. 0) call nops
go to 10
c
endif
endif
return
c
c last card of gtprb
c
end
subroutine libopn(nproc)
integer nproc
c************************************************************************
c
c this routine sets locks and initializes variables
c and then spawns nproc generic work routines.
c
c nproc is a positive integer. care should be taken to
c match nproc to the number of physical processors
c available.
c
c************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
integer ispace(mxces)
c
c common block description:
c
c common/qdata/
c
c parmq is a two dimensional integer array. each column of
c this array represents a schedulable process. a process is
c identified by its jobtag which corresponds to a unique
c column of parmq. a column of parmq has the following
c entries
c
c parmq(1,jobtag) = nentries
c a nonzero integer. if process jobtag
c is on the readyq then this integer
c is equal to the one plus number of times
c process jobtag has been entered.
c thus when work executes this process
c the integer is equal to the number
c of times the process has been entered.
c
c parmq(2,jobtag) = icango
c an integer specifying the number
c of processes that must check in
c before this process may scheduled
c (ie. be placed on the ready queue)
c
c parmq(3,jobtag) = nchks
c an integer specifying the number
c of processes that this process
c must checkin to. identifiers of
c these processes are recorded below.
c if nchks .eq. 0 then completion of
c this process signifies completion of
c task.
c
c parmq(4,jobtag) = the number of kids spawned by this
c process. if this value is zero
c then this process has not spawned
c any subprocesses.
c
c parmq(5,jobtag) = entry_flag
c has the value 1 if ientry was called
c has the value 0 otherwise
c
c parmq(6:6+nchks,jobtag) is reserved for identifiers of the
c nchks
c processes that must wait for completion
c of this process before they can execute.
c
c
c phead pointer to head of parmq
c
c intspn pointer to first spawned process. all jobtags
c with values greater than or equal to intspn will
c be spawned processes.
c
c readyq a two dimensional integer array that holds the jobtags of those
c processes that are ready to execute. the k-th column of
c this array serves as a readyq for the k-th work routine.
c on executing gtprb, the k-th work routine will look for work
c in the k-th readyq first and then the others (round robin).
c if readyq(j,id) .eq. done has been set then a return from
c subroutine work(*,*,id) is indicated.
c
c rhead an integer array. the i-th entry of rhead is a pointer to the
c head of the i-th column of readyq
c
c rtail an integer array. the i-th entry of rtail is a pointer to the
c tail of the i-th column of readyq
c
c
c common/sync/
c
c qlock is an integer array of locks. there is one lock for each
c column of parmq. the purpose of this lock is to ensure
c unique access to a column of parmq during the checkin operation.
c
c hrlock is an integer lock. the purpose of this lock is to ensure
c unique access to the pointer rhead to the head of the readyq.
c
c trlock is an integer lock. the purpose of this lock is to ensure
c unique access to the pointer rtail to the tail of the readyq.
c
c done is a unique non positive integer set in libopn to indicate
c task done.
c
c common /gphout/
c
c endgrf is an integer pointing to the next available
c slot in igraph
c
c igraph is a two dimensional integer array
c used as a buffer for graphics output
c each column of igraph records an event.
c
c
if (nproc .gt. mxces) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' user asking for more physical processors'
write(6,*) ' than are available on this system '
write(6,*) ' the maximum allowed is nproc = ',mxces
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
c
jobtag = next
done = -1
c
c set qlocks off
c initialize readyq(*) = -1 to set done sequence
c initialize reentry indicator in parmq(5,*)
c
do 50 j = 1,mxces
hrlock(j) = 0
trlock(j) = 0
rhead(j) = 1
rtail(j) = 1
do 20 i = 1,iprcs
readyq(i,j) = -1
20 continue
50 continue
c
do 100 j = 1,mxprcs
qlock(j) = 0
parmq(5,j) = 0
100 continue
c
c set readyq locks off
c
tqlock = 0
c
c initialize queue pointers
c
phead = 1
intspn = 1
qtail = 2
next = 1
endgrf = 1
open( file='trace.graph',unit=3)
c
c set lock on pointer to head of readyq so
c no process may start until all process and data dependencies
c have been specified by the user supplied routine driver.
c
do 150 j = 1,mxces
call lockon(hrlock(j))
150 continue
c
c now spawn virtual processors. these generic work routines will
c assume the identity of any schedulable process specified by driver.
c
CVD$L CNCALL
do 200 j = 1,nproc
call work(j,ispace(j))
200 continue
call dump(endgrf,igraph)
return
c
c last card of libopn
c
end
subroutine nxtag(mypar,jobtag)
CVD$R NOCONCUR
integer mypar,jobtag
c*************************************************************************
c
c
c this subroutine puts data dependencies for problem on the queue.
c no synchronization
c is necessary because each index of a column of parmq is associated
c with a jobtag specified by the user and associated with a unique
c schedulable process. the arguments of putq specify a process and are
c placed in a column of jobq according to the menue specified in the
c common block description given below.
c
c jobtag is an integer specifying a unique schedulable process
c
c
c icango is a positive integer specifying how many processes must check in
c to this process before it can be placed on the readyq.
c
c nchks is the number of processes that depend upon the completion of
c this process.
c
c mchkin is an integer array specifying the jobtags of the processes
c which depend upon completion of this process.
c
c*************************************************************************
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c for a complete common block description see the subroutine libopn
c
c
c
c place this process on the next slot in the problem queue
c
call lockon(qtlock)
next = qtail
qtail = qtail + 1
call lockoff(qtlock)
c
call lockon(qlock(mxprcs))
if (endgrf .gt. nbuffr) call dump(endgrf,igraph)
insrt = endgrf
endgrf = endgrf + 1
call lockoff(qlock(mxprcs))
igraph(1,insrt) = 3
igraph(2,insrt) = mypar
igraph(3,insrt) = next
c
if ( next .gt. mxprcs) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' user attempt to create too many processes'
write(6,*) ' through dynamic spawning '
write(6,*) ' the maximum allowed is ',mxprcs
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
c
jobtag = next
parmq(1,next) = 1
parmq(2,next) = 0
parmq(3,next) = 1
parmq(6,next) = mypar
c
c update the icango counter of the parent process
c by adding 2 to parmq(2,mypar)... prevents race condition.
c add 1 to the number of kids spawned by parent mypar
c
call lockon(qlock(mypar))
parmq(2,mypar) = parmq(2,mypar) + 2
parmq(4,mypar) = parmq(4,mypar) + 1
call lockoff(qlock(mypar))
c
c set number of kids spawned by next to zero
c
parmq(4,next) = 0
c
c
c
return
c
c last card of nxtag
c
end
subroutine start2
c
c this routine allows parallel processing to start after user supplied
c driver has completed by unlocking the head of the readyq
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
logical nostrt
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c for common block description see subroutine libopn.
c
if (done .ne. 0) then
write(6,*) '*************SCHED USER ERROR********************'
if (done .eq. -1 ) then
write(6,*) ' no process has set nchks equal to 0 '
else
write(6,*) ' more than one process has set nchks to 0 '
endif
write(6,*) ' SCHEDULE will not be able to terminate job'
write(6,*) ' correctly '
write(6,*) ' '
write(6,*) ' check subroutine passed to initial call to'
write(6,*) ' to see that at exactly one call to DEP has '
write(6,*) ' set nchks = 0 '
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
c
nostrt = .true.
do 100 iwrkr = 1,mxces
if (rhead(iwrkr) .ne. rtail(iwrkr)) nostrt = .false.
100 continue
if (nostrt) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' no process had an intitial icango of 0 '
write(6,*) ' SCHEDULE could not begin '
write(6,*) ' '
write(6,*) ' check subroutine passed to initial call to'
write(6,*) ' to see that at least one call to DEP has '
write(6,*) ' set icango = 0 '
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
intspn = qtail
c
do 200 iwrkr = 1,mxces
call lockoff(hrlock(iwrkr))
200 continue
c
return
c
c last card of start2
c
end
subroutine place(jobtag)
CVD$R NOCONCUR
integer jobtag
c*************************************************************************
c
c
c this subroutine places a problem on the readyq
c
c jobtag is an integer specifying a unique schedulable process
c
c
c icango is a positive integer specifying how many processes must check in
c to this process before it can be placed on the readyq.
c
c nchks is the number of processes that depend upon the completion of
c this process.
c
c mchkin is an integer array specifying the jobtags of the processes
c which depend upon completion of this process.
c
c*************************************************************************
c
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c
c common block description:
c
c for a complete common block description see the subroutine libopn
c
c
c
c place this process on readyq if icango is 0
c when icango .eq. 0 this process does not depend on any
c others.
c
icango = parmq(2,jobtag)
iwrkr = mod(jobtag,mxces) + 1
if (icango .eq. 0 ) then
call lockon(trlock(iwrkr))
readyq(rtail(iwrkr),iwrkr) = jobtag
rtail(iwrkr) = rtail(iwrkr) + 1
call lockoff(trlock(iwrkr))
endif
c
c last card of place
c
return
end
integer function ientry(jobtag,nentrs)
c
integer jobtag
c*****************************************************************************
c
c this routine will allow process jobtag to continue after
c spawned processes have all checked in. it should only be called if
c processes have been spawned by jobtag through the use of
c the subroutine spawn.
c
c go to (1000,2000,...,N000), ientry(jobtag,N)
c 1000 continue
c .
c .
c .
c do 10 j = 1,nproc
c .
c . (set parameters to define spawned process)
c .
c call nxtag(myid,jobtag)
c call spawn(myid,jobtag,subname,<parms>)
c 10 continue
c return
c 2000 continue
c .
c .
c .
c return
c N000 continue
c <statements>
c return
c end
c
c this subroutine returns the number of times process jobtag
c has been entered. if that number is equal to the total
c number nentrs of expected reentries then parmq(5,jobtag)
c is set to 0 indicating no more reentries required.
c
c*****************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
integer endgrf
real igraph
common /gphout/ endgrf,igraph(nslots,nbuffr)
c
c report the entry point where process jobtag should resume
c computation
c
if (nentrs .lt. 2) then
write(6,*) '*************SCHED USER ERROR********************'
write(6,*) ' user call to IENTRY with number of '
write(6,*) ' labels in nentrs set less than 2 '
write(6,*) ' from process ',jobtag
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
ientry = parmq(1,jobtag)
if (ientry .lt. nentrs) then
parmq(5,jobtag) = nentrs
else
parmq(5,jobtag) = 0
endif
c
return
c
c last card of ientry
c
end
subroutine dump(endgrf,igraph)
parameter (nslots = 30,nbuffr = 500)
integer endgrf
real igraph(nslots,nbuffr)
integer ievent(nslots)
c
c this routine writes graphics output to a file
c and resets endgrf to 1
c
c do 100 j = 1,endgrf
c write(6,15) (igraph(i,j),i = 1,nslots)
c 100 continue
c 15 format('dump: igraph',30f5.1)
do 300 j = 1,endgrf-1
do 302 i = 1,nslots
ievent(i) = igraph(i,j)
302 continue
if( ievent(1) .eq. 0 )
$ write(3,301) (ievent(i),i=1,ievent(4)+4)
if( ievent(1) .eq. 1 )
$ write(3,303) (ievent(i),i=1,2),igraph(3,j)
if( ievent(1) .eq. 2 )
$ write(3,303) (ievent(i),i=1,2),igraph(3,j)
if( ievent(1) .eq. 3 )
$ write(3,301) (ievent(i),i=1,3)
if( ievent(1) .eq. 4 )
$ write(3,304) (ievent(i),i=1,3),igraph(4,j)
if( ievent(1) .eq. 5 )
$ write(3,304) (ievent(i),i=1,3),igraph(4,j)
301 format(14i8)
303 format(2i8,1pe16.8)
304 format(3i8,1pe16.8)
300 continue
c
endgrf = 1
c
return
end
logical function wait(jobtag,ienter)
c
integer jobtag,ienter
c*****************************************************************************
c
c this routine will allow process jobtag to continue after
c spawned processes have all checked in. it should only be called if
c processes have been spawned by jobtag through the use of
c the subroutine spawn. this routine must be used in conjunction with
c subroutine prtspn. the required syntax is
c
c go to (1000,...,L000,...,N000), ientry(mytag,N)
c 1000 continue
c .
c .
c .
c do 100 j = 1,nproc
c .
c . (set parameters to define spawned process)
c .
c call nxtag(mytag,jobtag)
c call spawn(mytag,jobtag,subname,<parms>)
c 100 continue
c label = L
c if (wait(jobtag,label)) return
c L000 continue
c .
c .
c .
c
c if this subroutine returns a value of .true. then the calling process
c jobtag should issue a return. if a value of .false. is returned then
c the calling process jobtag should resume execution at the
c statement immediately following the reference to wait (ie. at L000 in
c the example above. a return value .true. indicates that some spawned
c process has not yet completed and checked in. a return value .false.
c indicates all spawned processes have checked in.
c
c*****************************************************************************
parameter (mxprcs = 1000,iprcs = 120,mxces = 8,nslots = 30)
parameter (nbuffr = 500)
integer parmq,readyq,qlock,hrlock,trlock,phead,intspn,rhead,rtail,
& done,qtail,qtlock
common /qdata/ parmq(nslots,mxprcs),phead,intspn,
& readyq(iprcs,mxces),rhead(mxces),rtail(mxces),
& qtail
common /qsync/ qlock(mxprcs),hrlock(mxces),trlock(mxces),
& done,qtlock
c
c
c check the icango counter to see if all spawned processes (kids)
c have checked in.
c
icango = 1
call lockon(qlock(jobtag))
icango = parmq(2,jobtag) - parmq(4,jobtag)
call lockoff(qlock(jobtag))
c
if (icango .eq. 0) then
c
c all kids are done ... dont wait (ie return false)
c
wait = .false.
c
c record re_entry label where computation is to
c resume after wait is complete
c
parmq(1,jobtag) = ienter
c
if (ienter .gt. parmq(5,jobtag)) then
write(6,*) '*************SCHED USER ERROR*****************'
write(6,*) ' executing SCHEDULE function WAIT '
write(6,*) ' return label larger than the maximum '
write(6,*) ' specified by user in call to ientry '
write(6,*) ' from process jobtag ',jobtag
write(6,*) ' '
write(6,*) ' the maximum reentry number is '
write(6,*) ' ', parmq(5,jobtag)
write(6,*) ' '
write(6,*) ' EXECUTION TERMINATED BY SCHED '
call dump(endgrf,igraph)
stop
endif
c
c set last re_entry indication (parmq(5,jobtag) = 0)
c if this reentry point corresponds to last one
c (recorded in parmq(5,jobtag) during call to ientry)
c
if (ienter .eq. parmq(5,jobtag)) parmq(5,jobtag) = 0
c
else
c
c kids are not done
c
wait = .true.
c
c a checkin will be made so set the number of
c entries to return label ienter - 1 to get
c correct entry point after checkin
c
parmq(1,jobtag) = ienter - 1
c
endif
c
return
c
c last card of wait
c
end
End of ftsubs.graph.f
echo lockoff.f 1>&2
cat >lockoff.f <<'End of lockoff.f'
subroutine lockoff(lock)
integer lock
lock = 0
return
end
End of lockoff.f
echo lockon.f 1>&2
cat >lockon.f <<'End of lockon.f'
subroutine lockon(lock)
integer lock
lock = 1
return
end
End of lockon.f
echo maindp.f 1>&2
cat >maindp.f <<'End of maindp.f'
double precision dd(500),ee(500),qq(500,500)
double precision esave(500),dsave(500)
double precision s,s2,t,t2,tnorm,tnorm2,res,res2
integer icase
c
double precision d(500),e(500),q(500,500)
integer n,ldq
common /prbdef/n,ldq,q,d,e
common/prfpms/ksect,kgran
double precision enorm,dummy
external treeql
c
ldq = 500
c
write(6,*) ' input nproc ... the number of processors '
read(5,*) nproc
write(6,*) ' input nprobs ... the number of problems '
read(5,*) nprobs
if (nprobs .gt. 10 .or. nprobs .le. 0 ) stop
do 9999 n = 50,nprobs*50,50
ksect = n/10
kgran = n/20
write(6,*) 'nprocs = ',nproc
write(6,*) 'ksect = ',ksect, ' kgran = ',kgran
write(6,*)'=============================='
write(6,*)' n = ',n
do 9998 icase = 1,2
write(6,*)'++++++++++++++++++++++++++++++'
if( icase .eq. 1 ) write(6,*)' twos on diagonal'
if( icase .eq. 2 ) write(6,*)' random numbers on diagonal'
if( icase .eq. 3 ) write(6,*)' glued wilks eps = 1.d-8 '
if( icase .eq. 4 ) write(6,*)' glued wilks eps = 1.d-14 '
nsect = 2**ksect
nd2 = n/2
go to (112,113,114,115), icase
112 do 13 i = 1,n
d(i) = 2.0
e(i) = 1
13 continue
go to 445
113 do 14 i = 1,n
d(i) = rand(foo)
e(i) = rand(foo)
14 continue
go to 445
114 continue
eps = 1.e-8
do 151 inum = 1,num
do 15 i = 1,21
d((inum-1)*21+i) = iabs(11-i)
e((inum-1)*21+i) = 1
15 continue
151 continue
go to 444
115 continue
eps = 1.e-14
do 161 inum = 1,num
do 16 i = 1,n
d((inum-1)*21+i) = iabs(11-i)
e((inum-1)*21+i) = 1
16 continue
161 continue
444 continue
do 443 inum = 1,num
e(inum*21+1) = eps
443 continue
445 continue
do 10 j = 1,n
do 5 i = 1,n
q(i,j) = 0.0
qq(i,j) = 0.0
5 continue
q(j,j) = 1.0
qq(j,j) = 1.0
dd(j) = d(j)
ee(j) = e(j)
dsave(j) = d(j)
esave(j) = e(j)
10 continue
c if (n .eq. 50) go to 9999
t1 = second(gtime)
call tql2(ldq,n,dd,ee,qq,ierr)
t2t = second(gtime) - t1
write(6,*) ' time for tql ',t2t
c
c the test problem has been defined now comes the numerical
c refinements that will avoid cancellation
c
t1 = second(gtime)
c
call sched(nproc,treeql,n,ldq,q,d,e,ifail)
c
t2 = second(gtime) - t1
write(6,*) ' time for sesupd ',t2
if( ifail .gt. 1 ) write(6,*)' deflate from sesupd',ifail
write(6,*)' ratio of tql2/new',t2t/t2
tnorm = 0.0d0
tnorm2 = 0.0d0
res = 0.0d0
res2 = 0.0d0
do 530 j = 1,n
e(1) = dsave(1)*q(1,j) +
$ esave(2)*q(2,j) - d(j)*q(1,j)
ee(1) = dsave(1)*qq(1,j) +
$ esave(2)*qq(2,j) - dd(j)*qq(1,j)
do 400 i = 2,n-1
e(i) = esave(i)*q(i-1,j) + dsave(i)*q(i,j) +
$ esave(i+1)*q(i+1,j) - d(j)*q(i,j)
ee(i) = esave(i)*qq(i-1,j) + dsave(i)*qq(i,j) +
$ esave(i+1)*qq(i+1,j) - dd(j)*qq(i,j)
400 continue
e(n) = esave(n)*q(n-1,j) + dsave(n)*q(n,j)
$ - d(j)*q(n,j)
ee(i) = esave(n)*qq(n-1,j) + dsave(n)*qq(n,j)
$ - dd(j)*qq(n,j)
t = enorm(n,e)
t2 = enorm(n,ee)
res = max(res,t)
res2 = max(res2,t2)
if (t .gt. 1.0d-13) then
write(6,*)' j ',j, ' d ',d(j),' er ',t,' dd ',dd(j),' eer ',t2
write(6,*) ' ev ',q(1,j),' eev ',qq(1,j)
endif
do 520 i = 1,n
t = 0.0
s = 0.0
t2 = 0.0
s2 = 0.0
do 510 k = 1,n
s2 = s2 + qq(k,i)*qq(k,j)
s = s + q(k,i)*q(k,j)
510 continue
if (i .eq. j) s2 = s2 - 1.0
if (i .eq. j) s = s - 1.0
t2 = abs(s2)
t = abs(s)
tnorm2 = max(tnorm2,t2)
tnorm = max(tnorm,t)
c if (t .gt. 1.0d-13) write(6,*) ' ij ',i,j,' tnorm ',tnorm
520 continue
530 continue
write(6,*)' the residual for the tql values and vectors',res2
write(6,*)' the residual for the updated values and vectors',res
write(6,*)' the tql norm of q*q sup t is',tnorm2
write(6,*)' the upd norm of q*q sup t is',tnorm
write (6,*) ' spectrum [ ',d(1) ,',',d(n),']'
9998 continue
9999 continue
stop
end
End of maindp.f
echo make1 1>&2
cat >make1 <<'End of make1'
FILES = ftsubs.o putq.o lockon.o lockoff.o second.o nops.o
FILES2 = ftsubs.graph.o putq.o lockon.o lockoff.o second.o nops.o
lib : $(FILES)
ar r sched.a $(FILES);ranlib sched.a
graph : $(FILES2)
ar r graph.a $(FILES2);ranlib graph.a
.f.o : ; f77 -O -c $*.f
.c.o : ; cc -c $*.c
.s.o : ; as $*.s
End of make1
echo makefile 1>&2
cat >makefile <<'End of makefile'
FILES = stuffspawn.o
xtest : $(FILES)
f77 -O $(FILES) sched.a -o xtest
gtest : $(FILES)
f77 -O $(FILES) graph.a -o gtest
FILES2 = d_and_c.o
xdandc : $(FILES2)
f77 -O $(FILES2) sched.a -o xdandc
gdandc : $(FILES2)
f77 -O $(FILES2) graph.a -o gdandc
FILES4 = maindp.o newevdp0.o stateig.o statses.o
xeig : $(FILES4)
f77 -O $(FILES4) sched.a -o xeig
geig : $(FILES4)
f77 -O $(FILES4) graph.a -o geig
FILES5 = maindp.o newevdp0.o stateig.o stseswait.o
xwait : $(FILES5)
f77 -O $(FILES5) sched.a -o xwait
gwait : $(FILES5)
f77 -O $(FILES5) graph.a -o gwait
sched:
make -f make1 lib
graph:
make -f make1 graph
.f.o : ; f77 -O -c $*.f
End of makefile
echo newevdp0.f 1>&2
cat >newevdp0.f <<'End of newevdp0.f'
subroutine evupd(n,i,d,z,delta,rho,dlam,ifail)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c***********************************************************************
c this subroutine computes the updated eigenvalues of a
c rank one modification to a symmetric matrix. it is assumed
c that the eigenvalues are in the array d, and that
c
c d(i) .ne. d(j) for i .ne. j
c
c it is also assumed that the eigenvalues are in increasing
c order and that the value of rho is positive. this is
c arranged by the calling subroutine sesupd, and is no loss
c in generality.
c it is also assumed that the values in the array z are
c the squares of the components of the updatingvector.
c
c
c the method consists of approximating the rational functions
c
c rho = sum(z(j)/((d(j)-d(i))/rho - lamda): j = i+1,n)
c
c phi =sum(z(j)/(d(j)-d(i))/rho - lamda): j = 1,i)
c
c by simple interpolating rational functions. this avoids
c the need for safeguarding by bisection since
c the convergence is monotone, and quadratic from any starting
c point that is greater than zero but less than the solution
c
c
c input variables...
c n the length of all arrays
c
c i the i - th eigenvalue is computed
c
c d the original eigenvalues. it is assumed that they are
c in order, d(i) .lt. d(j) for i .lt. j.
c
c z this array of length n contains the squares of
c of the components of the updating vector
c
c delta this array of length n contains (d(j) - lamda(i))/rho
c in its j - th component. these values will be used
c to update the eigenvectors in sesupd.
c
c rho this is the scalar in the the symmetric updating
c formula.
c
c dlam this scalar will contain the value of the i - th
c updated eigenvalue on return
c
c ifail this integer variable indicates failure of the
c updating process with value 1, and success
c with value 0.
c
c
c
c**************************************************************************
integer i,n,im1,ip1,ip2,niter
dimension d(n),z(n), delta(n)
double precision d,z,rho,delta,zero,one,two,tsave,
1 del,phi,dphi,psi,dpsi,lambda,oldlam,
2 t,temp,a,b,d1,w,eps,eps1,eta,dlam,dmax
double precision epslon,enorm
zero = 0.0d0
one = 1.0d0
two = 2.0d0
c
c eps is machine precision
c eta is the relative accuracy requirement on the roots.
c
c these values should be adjusted for the particular machine.
c
eps = epslon(1.0)
eta = eps*8.
c
im1 = i - 1
ip1 = i + 1
ip2 = i + 2
niter = 1
lambda = zero
oldlam = zero
del = d(i)
do 100 j = 1,n
delta(j) = (d(j) - del)/rho
100 continue
dmax = max(abs(d(1)), abs(d(n)))
dmax = abs(rho) + dmax
c
c calculate initial guess
c
if (i .lt. n)
* then
del = d(ip1)
else
del = d(n) + rho
endif
a = zero
do 200 j = 1,im1
a = a + rho*z(j)/(d(j) - del)
200 continue
b = zero
do 220 j = ip2,n
b = b + rho*z(j)/(d(j) - del)
220 continue
a = a + (b + one)
if (ip1 .gt. n)
* then
t = z(i)/abs(a)
else
t = a*delta(ip1)
b = t + z(i) + z(ip1)
if (b .ge. zero)
* then
t = two*z(i)*delta(ip1)/
* (b + sqrt(abs(b*b - 4.0d0*t*z(i))))
else
t = (b - sqrt(b*b - 4.0d0*t*z(i)))/(two*a)
endif
t = t/two
endif
c
c test to see that the initial guess is not too close to endpoint
c
if (ip1 .le. n .and. t .ge. .9*delta(ip1))
* t = .9*delta(ip1)
c
c update the values of the array delta
c
250 continue
tsave = abs(t)
do 300 j = 1,n
delta(j) = delta(j) - t
300 continue
lambda = lambda + t
dlam = d(i) + rho*lambda
c
c evaluate psi and the derivative dpsi
c
dpsi = zero
psi = zero
do 400 j = 1,i
t = z(j)/delta(j)
psi = psi + t
dpsi = dpsi + t/delta(j)
400 continue
c
c evaluate phi and the derivative dphi
c
dphi = zero
phi = zero
if (i .eq. n) go to 600
do 500 j = ip1,n
t = z(j)/delta(j)
phi = phi + t
dphi = dphi + t/delta(j)
500 continue
c
c test for convergence
c return if the test is satisfied
c
600 continue
w = one + phi + psi
eps1 = eps*dmax*sqrt(dphi + dpsi)
if ((abs(w) .le. eps1) .and. (abs(lambda - oldlam) .le.
1 eta*oldlam) ) then
return
endif
c
c return with ifail = -1 if convergence has not ocurred
c within 45 iterations.
c
if (niter .lt. 45) go to 650
ifail = -1
return
650 continue
niter = niter + 1
oldlam = lambda
c
c calculate the new step
c
if (i .ne. n) go to 700
c
c otherwise
c calculate the step for the special case i = n
c
t = (w*psi)/dpsi
go to 250
700 continue
del = delta(ip1)
temp = psi/dpsi
d1 = one + phi - del*dphi
a = (del*(one + phi) + psi*temp)/d1 + temp
b = (two*temp*del*w)/d1
t = sqrt(abs(a*a - two*b))
t = b/(a + t)
if (t .lt. -eps) t = -tsave/two
go to 250
c
c last card of evupd
c
end
subroutine deflat(j,jlam,jdel,indx,n,ldq,q,d,z,tol1)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c
c
c rotate z components to 0
c assumes norm(z) .eq. 1
c
integer indx(*),jdel,j,jlam,n,ldq
double precision q(ldq,*),d(*),z(*),gamma,sigma,tau,t1,t2,
* tol,tol1
c
tol = tol1
gamma = z(jlam)
sigma = z(j)
tau = pythag(gamma,sigma)
jdel = -1
if (tau .gt. 0.0d0)
* then
delta = d(j) - d(jlam)
gamma = gamma/tau
sigma = sigma/tau
if (abs(delta*gamma*sigma) .le. tol)
* then
if (abs(gamma) .le. abs(sigma))
* then
z(j) = tau
z(jlam) = 0.0d0
jjlam = indx(jlam)
jj = indx(j)
do 100 i = 1,n
t1 = q(i,jjlam)
t2 = q(i,jj)
q(i,jjlam) = -t1*sigma + t2*gamma
q(i,jj) = t1*gamma + t2*sigma
100 continue
temp = d(jlam)*sigma**2 + d(j)*gamma**2
d(j) = d(jlam)*gamma**2 + d(j)*sigma**2
d(jlam) = temp
jdel = jlam
jlam = j
else
z(jlam) = tau
z(j) = 0.0d0
jjlam = indx(jlam)
jj = indx(j)
do 200 i = 1,n
t1 = q(i,jjlam)
t2 = q(i,jj)
q(i,jjlam) = t1*gamma + t2*sigma
q(i,jj) = -t1*sigma + t2*gamma
200 continue
temp = d(jlam)*gamma**2 + d(j)*sigma**2
d(j) = d(jlam)*sigma**2 + d(j)*gamma**2
d(jlam) = temp
jdel = j
endif
endif
endif
c
return
c
c last card of deflat
end
function rand(foo)
CVD$G NOCONCUR
data init/1365/
init = mod(3125*init,65536)
rand = (init - 32768.)/(2.**15)
return
end
double precision function enorm(n,x)
CVD$G NOCONCUR
integer n
double precision x(n),temp,tmax
tmax = 0.0d0
do 100 j = 1,n
temp = max(tmax,abs(x(j)))
if (temp .gt. tmax) tmax = temp
100 continue
if (tmax .eq. 0.0d0) then
enorm = tmax
else
temp = 0.0d0
do 200 j = 1,n
temp = temp + (x(j)/tmax)**2
200 continue
enorm = tmax*sqrt(temp)
endif
return
end
subroutine tql2(nm,n,d,e,z,ierr)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c
integer i,j,k,l,m,n,ii,l1,l2,nm,mml,ierr
double precision d(n),e(n),z(nm,n)
double precision c,c2,c3,dl1,el1,f,g,h,p,r,s,s2,tst1,tst2,pythag
c
c this subroutine is a translation of the algol procedure tql2,
c num. math. 11, 293-306(1968) by bowdler, martin, reinsch, and
c wilkinson.
c handbook for auto. comp., vol.ii-linear algebra, 227-240(1971).
c
c this subroutine finds the eigenvalues and eigenvectors
c of a symmetric tridiagonal matrix by the ql method.
c the eigenvectors of a full symmetric matrix can also
c be found if tred2 has been used to reduce this
c full matrix to tridiagonal form.
c
c on input
c
c nm must be set to the row dimension of two-dimensional
c array parameters as declared in the calling program
c dimension statement.
c
c n is the order of the matrix.
c
c d contains the diagonal elements of the input matrix.
c
c e contains the subdiagonal elements of the input matrix
c in its last n-1 positions. e(1) is arbitrary.
c
c z contains the transformation matrix produced in the
c reduction by tred2, if performed. if the eigenvectors
c of the tridiagonal matrix are desired, z must contain
c the identity matrix.
c
c on output
c
c d contains the eigenvalues in ascending order. if an
c error exit is made, the eigenvalues are correct but
c unordered for indices 1,2,...,ierr-1.
c
c e has been destroyed.
c
c z contains orthonormal eigenvectors of the symmetric
c tridiagonal (or full) matrix. if an error exit is made,
c z contains the eigenvectors associated with the stored
c eigenvalues.
c
c ierr is set to
c zero for normal return,
c j if the j-th eigenvalue has not been
c determined after 30 iterations.
c
c calls pythag for sqrt(a*a + b*b) .
c
c questions and comments should be directed to burton s. garbow,
c mathematics and computer science div, argonne national laboratory
c
c this version dated august 1983.
c
c ------------------------------------------------------------------
c
ierr = 0
if (n .eq. 1) go to 1001
c
do 100 i = 2, n
100 e(i-1) = e(i)
c
f = 0.0d0
tst1 = 0.0d0
e(n) = 0.0d0
c
do 240 l = 1, n
j = 0
h = abs(d(l)) + abs(e(l))
if (tst1 .lt. h) tst1 = h
c .......... look for small sub-diagonal element ..........
do 110 m = l, n
tst2 = tst1 + abs(e(m))
if (tst2 .eq. tst1) go to 120
c .......... e(n) is always zero, so there is no exit
c through the bottom of the loop ..........
110 continue
c
120 if (m .eq. l) go to 220
130 if (j .eq. 30) go to 1000
j = j + 1
c .......... form shift ..........
l1 = l + 1
l2 = l1 + 1
g = d(l)
p = (d(l1) - g) / (2.0d0 * e(l))
r = pythag(p,1.0d0)
d(l) = e(l) / (p + sign(r,p))
d(l1) = e(l) * (p + sign(r,p))
dl1 = d(l1)
h = g - d(l)
if (l2 .gt. n) go to 145
c
do 140 i = l2, n
140 d(i) = d(i) - h
c
145 f = f + h
c .......... ql transformation ..........
p = d(m)
c = 1.0d0
c2 = c
el1 = e(l1)
s = 0.0d0
mml = m - l
c .......... for i=m-1 step -1 until l do -- ..........
do 200 ii = 1, mml
c3 = c2
c2 = c
s2 = s
i = m - ii
g = c * e(i)
h = c * p
r = pythag(p,e(i))
e(i+1) = s * r
s = e(i) / r
c = p / r
p = c * d(i) - s * g
d(i+1) = h + s * (c * g + s * d(i))
c .......... form vector ..........
do 180 k = 1, n
h = z(k,i+1)
z(k,i+1) = s * z(k,i) + c * h
z(k,i) = c * z(k,i) - s * h
180 continue
c
200 continue
c
p = -s * s2 * c3 * el1 * e(l) / dl1
e(l) = s * p
d(l) = c * p
tst2 = tst1 + abs(e(l))
if (tst2 .gt. tst1) go to 130
220 d(l) = d(l) + f
240 continue
c .......... order eigenvalues and eigenvectors ..........
do 300 ii = 2, n
i = ii - 1
k = i
p = d(i)
c
do 260 j = ii, n
if (d(j) .ge. p) go to 260
k = j
p = d(j)
260 continue
c
if (k .eq. i) go to 300
d(k) = d(i)
d(i) = p
c
do 280 j = 1, n
p = z(j,i)
z(j,i) = z(j,k)
z(j,k) = p
280 continue
c
300 continue
c
go to 1001
c .......... set error -- no convergence to an
c eigenvalue after 30 iterations ..........
1000 ierr = l
1001 return
end
double precision function pythag(a,b)
double precision a,b
c
c finds sqrt(a**2+b**2) without overflow or destructive underflow
c
double precision p,r,s,t,u
p = max(abs(a),abs(b))
if (p .eq. 0.0d0) go to 20
r = (min(abs(a),abs(b))/p)**2
10 continue
t = 4.0d0 + r
if (t .eq. 4.0d0) go to 20
s = r/t
u = 1.0d0 + 2.0d0*s
p = u*p
r = (s/u)**2 * r
go to 10
20 pythag = p
return
end
double precision function epslon (x)
double precision x
c
c estimate unit roundoff in quantities of size x.
c
double precision a,b,c,eps
c
c this program should function properly on all systems
c satisfying the following two assumptions,
c 1. the base used in representing floating point
c numbers is not a power of three.
c 2. the quantity a in statement 10 is represented to
c the accuracy used in floating point variables
c that are stored in memory.
c the statement number 10 and the go to 10 are intended to
c force optimizing compilers to generate code satisfying
c assumption 2.
c under these assumptions, it should be true that,
c a is not exactly equal to four-thirds,
c b has a zero for its last bit or digit,
c c is not exactly equal to one,
c eps measures the separation of 1.0 from
c the next larger floating point number.
c the developers of eispack would appreciate being informed
c about any systems where these assumptions do not hold.
c
c this version dated 4/6/83.
c
a = 4.0d0/3.0d0
10 b = a - 1.0d0
c = b + b + b
eps = abs(c-1.0d0)
if (eps .eq. 0.0d0) go to 10
epslon = eps*abs(x)
epslon = 1.0d-16
return
end
subroutine evdrv(k,kstart,kstop,ldq,n,q,d,rho,z,dlamda,q2,
* w,indxp,indx,ksnrho,ifail)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c
c
double precision
* q(ldq,n),d(n),z(n),q2(ldq,n),dlamda(n),
* w(n),rho
integer k,kstart,kstop,ldq,n,ifail
integer indx(n),indxp(n),ksnrho
logical rhoge0
c
c local variables
c
double precision x(300),delta(300)
double precision t,s,dlam
double precision enorm
rhoge0 = .true.
if (ksnrho .lt. 0) rhoge0 = .false.
c
do 2700 j = kstart,kstop
i = j
if (.not. rhoge0) i = k - i + 1
call evupd(k,i,dlamda,w,delta,rho,dlam,ifail)
c
c if the zero finder failed the computation is terminated
c
if (ifail .eq. 1) return
c
if (rhoge0)
* then
jp = indxp(j)
else
dlam = -dlam
jp = indxp(k-j+1)
endif
c
d(jp) = dlam
c
c compute the updated eigenvectors
c
do 2200 i1 = 1,n
x(i1) = 0.0d0
2200 continue
do 2500 jj = 1,k
j3 = jj
if (.not. rhoge0) j3 = k - jj + 1
jp = indxp(j3)
jjpp = indx(jp)
s = z(jp)/delta(j3)
c qq(jj,j) = s
do 2300 i1 = 1,n
x(i1) = x(i1) + q(i1,jjpp)*s
2300 continue
2500 continue
t = enorm(n,x)
j3 = j
if (.not. rhoge0) j3 = k - j + 1
jp = indxp(j3)
do 2600 i1 = 1,n
q2(i1,jp) = x(i1)/t
2600 continue
2700 continue
c
return
c
c last card of evdrv
c
end
End of newevdp0.f
echo nops.f 1>&2
cat >nops.f <<'End of nops.f'
subroutine nops
c
c this is a dummy routine
integer j
j = 1
return
end
End of nops.f
echo oldtest 1>&2
cat >oldtest <<'End of oldtest'
make -f make1 lib
ar r sched.a ftsubs.o putq.o lockon.o lockoff.o second.o nops.o;ranlib sched.a
make -f make1 graph
ar r graph.a ftsubs.graph.o putq.o lockon.o lockoff.o second.o nops.o;ranlib graph.a
`xeig' is up to date.
input nproc ... the number of processors
input nprobs ... the number of problems
nprocs = 1
ksect = 5 kgran = 2
==============================
n = 50
++++++++++++++++++++++++++++++
twos on diagonal
time for tql 66.38000
time for sesupd 22.0800018310547
ratio of tql2/new 3.00634020600746
the residual for the tql values and vectors 6.6014304146999d-15
the residual for the updated values and vectors 2.7928940216219d-15
the tql norm of q*q sup t is 5.1070259132757d-15
the upd norm of q*q sup t is 1.2419535885821d-15
spectrum [ 3.7933425259115d-03 , 3.98484101934387 ]
++++++++++++++++++++++++++++++
random numbers on diagonal
time for tql 74.56000
time for sesupd 37.6800079345703
ratio of tql2/new 1.97876809601696
the residual for the tql values and vectors 8.2448329856706d-15
the residual for the updated values and vectors 2.4599837539145d-15
the tql norm of q*q sup t is 7.1054273576010d-15
the upd norm of q*q sup t is 6.0734159671935d-15
spectrum [ -1.67720408801595 , 1.58837835120168 ]
`geig' is up to date.
input nproc ... the number of processors
input nprobs ... the number of problems
nprocs = 1
ksect = 5 kgran = 2
==============================
n = 50
++++++++++++++++++++++++++++++
twos on diagonal
time for tql 66.42001
time for sesupd 22.4199981689453
ratio of tql2/new 2.96253395285020
the residual for the tql values and vectors 6.6014304146999d-15
the residual for the updated values and vectors 2.7928940216219d-15
the tql norm of q*q sup t is 5.1070259132757d-15
the upd norm of q*q sup t is 1.2419535885821d-15
spectrum [ 3.7933425259115d-03 , 3.98484101934387 ]
++++++++++++++++++++++++++++++
random numbers on diagonal
time for tql 74.36000
time for sesupd 38.2200012207031
ratio of tql2/new 1.94557818512240
the residual for the tql values and vectors 8.2448329856706d-15
the residual for the updated values and vectors 2.4599837539145d-15
the tql norm of q*q sup t is 7.1054273576010d-15
the upd norm of q*q sup t is 6.0734159671935d-15
spectrum [ -1.67720408801595 , 1.58837835120168 ]
`xtest' is up to date.
input nprocs
time = 0.140000 nprocs = 1
1.00000000000000
-2.00000000000000
-6.00000000000000
-8.00000000000000
-10.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
2.00000000000000
-3.00000000000000
-8.00000000000000
-10.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
3.00000000000000
-4.00000000000000
-10.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
4.00000000000000
-5.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
5.00000000000000
-6.00000000000000
-14.0000000000000
-16.0000000000000
6.00000000000000
-7.00000000000000
-16.0000000000000
7.00000000000000
-8.00000000000000
8.00000000000000
`gtest' is up to date.
input nprocs
time = 0.840000 nprocs = 1
1.00000000000000
-2.00000000000000
-6.00000000000000
-8.00000000000000
-10.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
2.00000000000000
-3.00000000000000
-8.00000000000000
-10.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
3.00000000000000
-4.00000000000000
-10.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
4.00000000000000
-5.00000000000000
-12.0000000000000
-14.0000000000000
-16.0000000000000
5.00000000000000
-6.00000000000000
-14.0000000000000
-16.0000000000000
6.00000000000000
-7.00000000000000
-16.0000000000000
7.00000000000000
-8.00000000000000
8.00000000000000
f77 -O -c d_and_c.f
f77 -O d_and_c.o sched.a -o xdandc
input nprocs nlevls
1
f77 -O d_and_c.o graph.a -o gdandc
input nprocs nlevls
1
f77 -O -c stseswait.f
f77 -O maindp.o newevdp0.o stateig.o stseswait.o sched.a -o xwait
input nproc ... the number of processors
input nprobs ... the number of problems
nprocs = 1
ksect = 5 kgran = 2
==============================
n = 50
++++++++++++++++++++++++++++++
twos on diagonal
time for tql 66.18000
time for sesupd 22.1200027465820
ratio of tql2/new 2.99186221011667
the residual for the tql values and vectors 6.6014304146999d-15
the residual for the updated values and vectors 2.7928940216219d-15
the tql norm of q*q sup t is 5.1070259132757d-15
the upd norm of q*q sup t is 1.2419535885821d-15
spectrum [ 3.7933425259115d-03 , 3.98484101934387 ]
++++++++++++++++++++++++++++++
random numbers on diagonal
time for tql 74.38000
time for sesupd 37.5399932861328
ratio of tql2/new 1.98135350442094
the residual for the tql values and vectors 8.2448329856706d-15
the residual for the updated values and vectors 2.4599837539145d-15
the tql norm of q*q sup t is 7.1054273576010d-15
the upd norm of q*q sup t is 6.0734159671935d-15
spectrum [ -1.67720408801595 , 1.58837835120168 ]
f77 -O maindp.o newevdp0.o stateig.o stseswait.o graph.a -o gwait
input nproc ... the number of processors
input nprobs ... the number of problems
nprocs = 1
ksect = 5 kgran = 2
==============================
n = 50
++++++++++++++++++++++++++++++
twos on diagonal
time for tql 66.00000
time for sesupd 22.4200057983398
ratio of tql2/new 2.94379941707630
the residual for the tql values and vectors 6.6014304146999d-15
the residual for the updated values and vectors 2.7928940216219d-15
the tql norm of q*q sup t is 5.1070259132757d-15
the upd norm of q*q sup t is 1.2419535885821d-15
spectrum [ 3.7933425259115d-03 , 3.98484101934387 ]
++++++++++++++++++++++++++++++
random numbers on diagonal
time for tql 74.78000
time for sesupd 38.6799926757813
ratio of tql2/new 1.93329919698043
the residual for the tql values and vectors 8.2448329856706d-15
the residual for the updated values and vectors 2.4599837539145d-15
the tql norm of q*q sup t is 7.1054273576010d-15
the upd norm of q*q sup t is 6.0734159671935d-15
spectrum [ -1.67720408801595 , 1.58837835120168 ]
End of oldtest
echo putq.c 1>&2
cat >putq.c <<'End of putq.c'
#include <stdio.h>
#define MAXPARMS 20
struct parms {
int (*subname)();
long *parms[MAXPARMS];
};
struct parms indx[1000];
sched_(nprocs,parms)
int *nprocs;
struct parms parms;
/*
this procedure obtains nprocs physical processors devoted
to the the execution of the parallel program indicated through parms
which is a structure whose first entry is a subroutine name and whose
remaining entries are parameters appearing in the calling sequence
of that subroutine.
*/
{
int libopn_();
bcopy(&parms, &indx[0], sizeof(struct parms));
/*
the subroutine name and prameter list have been copied and
placed in a special slot on the parmq
then libopn is invoked to initialize pointers, grab physical
processors and begin the computation
*/
libopn_(nprocs);
return(0);
}
putq_(jobtag,parms)
int *jobtag;
struct parms parms;
/*
this procedure puts the descriptor of a schedulable process <jobtag>
onto the problem queue. this process will be scheduled for execution
when its data dependencies have been satisfied (indicated by icango==0).
the argument parms is a structure whose first entry is a subroutine name
and whose remaining entries are parameters appearing in the calling sequence
of that subroutine.
*/
{
register int j;
int place_();
j = *jobtag;
bcopy(&parms, &indx[j], sizeof(struct parms));
/*
first the parms block is copied into the slot pointed to by
by jobtag and then this descriptor is placed on the problem
queue
*/
place_(jobtag);
return(0);
}
spawn_(parent,jobtag,parms)
int *parent,*jobtag;
struct parms parms;
/*
this procedure puts the descriptor of a schedulable process <jobtag>
onto the problem queue. this process will be scheduled for execution
when its data dependencies have been satisfied (indicated by icango==0).
the argument parms is a structure whose first entry is a subroutine name
and whose remaining entries are parameters appearing in the calling sequence
of that subroutine.
the action of this procedure differs from putq in that the user does not
assign jobtags or data dependencies. a parent may spawn any number of
children but these child processes only report to the parent.
*/
{
register int j,i;
int place_(),clone_();
j = *jobtag;
i = *parent;
bcopy(&parms, &indx[j], sizeof(struct parms));
/*
first the parms block is copied into the slot pointed to by
by jobtag and then this descriptor is placed on the problem
queue
*/
if (indx[j].subname == clone_) indx[j].subname = indx[i].subname;
/*
here we ask if this is a recursive spawning. if so the name
clone has been called instead of subname so we replace the name
clone by subname.
*/
place_(jobtag);
return(0);
}
clone_()
{
/*
this is a dummy routine to satisfy unresolved external
*/
return(0);
}
work_(id,jobtag)
int *id,*jobtag;
{
int start2_(),gtprb_();
register int j,myjob;
j = *id;
if (j == 1)
/*
the worker whose id is 1 will execute the subroutine passed to
sched. this subroutine executes the static data dependency graph.
this graph must have at least one node.
*/
{
indx[0].subname(indx[0].parms[0], indx[0].parms[1],
indx[0].parms[2], indx[0].parms[3],
indx[0].parms[4], indx[0].parms[5],
indx[0].parms[6], indx[0].parms[7],
indx[0].parms[8], indx[0].parms[9],
indx[0].parms[10], indx[0].parms[11],
indx[0].parms[12], indx[0].parms[13],
indx[0].parms[14], indx[0].parms[15],
indx[0].parms[16], indx[0].parms[17],
indx[0].parms[18], indx[0].parms[19]);
start2_();
}
myjob = gtprb_(id,jobtag);
while (myjob != 0)
{
j = *jobtag;
if (myjob <= -1 )
{
/*
reenter... simple spawning was done
all kids completed and no reentry
is required. this indicates
jobtag is all done and checkin can proceed.
*/
chekin_(jobtag);
myjob = gtprb_(id,jobtag);
}
else
{
/*
call subname(<parms>)..........
*/
indx[j].subname(indx[j].parms[0], indx[j].parms[1],
indx[j].parms[2], indx[j].parms[3],
indx[j].parms[4], indx[j].parms[5],
indx[j].parms[6], indx[j].parms[7],
indx[j].parms[8], indx[j].parms[9],
indx[j].parms[10], indx[j].parms[11],
indx[j].parms[12], indx[j].parms[13],
indx[j].parms[14], indx[j].parms[15],
indx[j].parms[16], indx[j].parms[17],
indx[j].parms[18], indx[j].parms[19]);
chekin_(jobtag);
myjob = gtprb_(id,jobtag);
}
}
return(0);
}
End of putq.c
echo second.f 1>&2
cat >second.f <<'End of second.f'
real function second(t)
real t
real t1(2)
t = etime(t1)
t = t1(1)
second = t
return
end
End of second.f
echo stateig.f 1>&2
cat >stateig.f <<'End of stateig.f'
subroutine treeql(n,ldq,q,d,e,ifail)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c *
integer n,ldq
double precision d(*),e(*),q(ldq,*)
c
double precision z(500),dlamda(500),x(500),q2(500,500),w(500),
* delta(500),rho(300)
integer indx(500),indxp(500),nn(3,300),kwork(50,300),ifail
common /wspace/z,dlamda,x,q2,w,delta,rho,indx,indxp,nn,kwork
common/prfpms/nsmall,kgran
external sesupd,tql2
c
c this subroutine splits a problem in two parts
c
nn(1,1) = n
nn(2,1) = 1
nn(3,1) = 1
ifail = 0
nsize = n
nlevl = -1
1111 continue
nlevl = nlevl + 1
if (nsize .gt. 2*nsmall) then
c
c the problem is large enough to split one more level
c define the splits here in the 100 loop and then
c place a call to sesupd on the queue to glue the results
c together
c
nsize = nsize/2
do 100 id = 2**nlevl,2**(nlevl+1) - 1
c
idl = 2*id
idr = idl + 1
n1 = nn(1,id)/2
c
nn(1,idl) = n1
nn(2,idl) = idl
nn(3,idl) = nn(3,id)
c
nn(1,idr) = nn(1,id) - n1
nn(2,idr) = idr
nn(3,idr) = nn(3,id) + n1
c
isplt1 = nn(3,idr)
isplt = isplt1 - 1
n1p1 = n1 + 1
rho(id) = e(isplt1)
alpha = d(isplt)
alphap = d(isplt1)
sigma = 1.0d0
c
if (sign(1.0d0,alpha)*sign(1.0d0,alphap) .ge. 0.0d0)
* then
if (alpha .lt. 0.0d0 .or. alphap .lt. 0.0d0)
* then
if(rho(id) .ne. 0.0d0)
* then
rho(id) = - rho(id)
sigma = -sigma
endif
endif
endif
kwork(50,id) = sigma
d(isplt) = d(isplt) - rho(id)
d(isplt1) = d(isplt1) - rho(id)
c
c the problem is large enough to split into two parts
c
isplt = nn(3,id)
c
jobtag = id
icango = 2
nchks = 1
if (jobtag .eq. 1) nchks = 0
list = id/2
call dep(jobtag,icango,nchks,list)
call putq(jobtag,sesupd,nn(2,id),ldq,nn(1,id),
* q(isplt,isplt),d(isplt),rho(id),z(isplt),
* x(isplt),dlamda(isplt),q2(isplt,isplt),
* delta(isplt),w(isplt),indxp(isplt),
* indx(isplt),kwork(1,id),ifail)
c
100 continue
go to 1111
else
c
c we have reached the lowest level
c granularity now warrants call to tql2
c
do 200 id = 2**nlevl,2**(nlevl+1) - 1
c
isplt = nn(3,id)
c
jobtag = id
icango = 0
ncheks = 1
list = id/2
c
call dep(jobtag,icango,ncheks,list)
call putq(jobtag,tql2,ldq,nn(1,id),d(isplt),e(isplt),
* q(isplt,isplt),ifail)
c
200 continue
endif
c
return
c
c last card of split
c
end
End of stateig.f
echo statses.f 1>&2
cat >statses.f <<'End of statses.f'
subroutine sesupd(myid,ldq,n,q,d,rho,z,x,dlamda,q2,delta,w,indxp,
* indx,kwork,ifail)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c***********************************************************************
c
c
c this subroutine will compute the updated eigensystem of a
c of a symmetric matrix after modification by a rank one
c symmetric matrix.
c
c a = qdq' + rho*z*z'
c
c it is assumed that the eigenvectors of the original matrix
c are stored in q, and the eigenvalues are in d.
c the algorithm consists of three stages...
c
c
c the first stage constists of deflating the size of
c the problem when there multiple eigenvalues or if there
c zero of the vector q'z. for each such ocurrence the dimension
c is reduced by one.
c
c the second stage consists of calculating the updated
c eigenvalues of the reduced problem. this requires a call
c to the zero finding routine evupd.
c
c the final stage consists of computing the updated eigenvectors
c directly using the updated eigenvalue.
c
c
c the algorithm requires o(n**2) operations to update the
c eigenvectors, but n**3 + o(n**2) to update the eigenvectors.
c
c
c input variables...
c
c n the dimension of the problem. q is n x n
c
c q an n x n matrix that contains the eigenvectors of
c the original matrix on input and the updated
c eigenvectors on output.
c
c d a vector of length n. the original eigenvalues are
c contained in d on input. the updated eigenvectors
c are contained on output.
c
c rho a scalar
c
c z a vector of length n. on input this vector
c containes the updating vector. the contents of z
c are destroyed during the updating process.
c
c x a working array of length n.
c
c dlamda a working array of length n
c
c q2 a working array of dimension n x n
c
c delta a working array of length n
c
c w a working array of length n.
c
c indx an integer array of length n.
c
c ifail this integer variable indicates failure of the
c updating process with value 1, and success
c with value 0.
c
c called subroutines...
c
c evupd a subroutine for calculating the updated eigenvalues.
c
c
c***********************************************************************
double precision
* q(ldq,n),d(n),z(n),x(n),dlamda(n),q2(ldq,n),delta(n)
* ,w(n),rho
integer ldq,n,ifail
integer indx(n),indxp(n),kwork(*)
integer ksize(20),kstart(20),kstop(20),kbins,msize,krem,prcsys
integer kgran,ksect
common/prfpms/ksect,kgran
logical rhoge0
double precision eps,zero,one,two,s,t,evsprd,dmax,dlam
double precision epslon,enorm
external evdrv
c
c
c eps is machine precision
c
eps = epslon(1.0)
zero = 0.0d0
ifail = 0
one = 1.0d0
two = 2.0d0
rhoge0 = (rho .ge. zero)
go to (1111,2222),ientry(myid,2)
1111 continue
c
c compute q(transpose)*z
c
n1 = n/2
n1p1 = n1 + 1
do 100 j = 1,n1
z(j) = q(n1,j)
100 continue
sigma = kwork(50)
if (sigma .gt. 0.0) then
do 200 j = n1p1,n
z(j) = q(n1p1,j)
200 continue
else
do 201 j = n1p1,n
z(j) = -q(n1p1,j)
201 continue
endif
c
c normalize z so that norm(z) = 1
c
t = enorm(n,z)
do 300 j = 1,n
z(j) = z(j)/t
indx(j) = j
300 continue
rho = rho*t*t
c
c calculate the allowable deflation tolerence
c
tol = (1.0d2)*eps*max(abs(d(1)),abs(d(n)))
if (abs(rho) .le. tol) return
c
c
c order the eigenvalues
c
nm1 = n - 1
do 600 j = 1,nm1
t = d(1)
s = z(1)
inx = indx(1)
k = n - j + 1
do 500 i = 2,k
im1 = i - 1
if (d(i) .lt. t) go to 400
t = d(i)
s = z(i)
inx = indx(i)
go to 500
400 continue
d(im1) = d(i)
d(i) = t
z(im1) = z(i)
z(i) = s
indx(im1) = indx(i)
indx(i) = inx
500 continue
600 continue
c
c if there multiple eigenvalues then the problem deflates.
c here the number of equal eigenvalues are found.
c then an elementary reflector is computed to rotate the
c corresponding eigensubspace so that certain components of
c z are zero in this new basis.
c
if (rhoge0)
*then
k = 0
k2 = n + 1
do 670 j = 1,n
if(rho*abs(z(j)) .le. tol)
* then
c
c deflate due to small z component
c
k2 = k2 - 1
indxp(k2) = j
if (j .eq. n) go to 1111
else
jlam = j
go to 700
endif
670 continue
700 continue
j = j + 1
if (j .gt. n) go to 800
if(rho*abs(z(j)) .le. tol)
c if(rho*abs(z(j)) .le. 1.0d-10)
* then
c
c deflate due to small z component
c
k2 = k2 - 1
indxp(k2) = j
else
call deflat(j,jlam,jdef,indx,n,ldq,q,d,z,tol)
if (jdef .le. 0)
* then
k = k + 1
w(k) = z(jlam)**2
dlamda(k) = d(jlam)
indxp(k) = jlam
jlam = j
else
k2 = k2 - 1
indxp(k2) = jdef
endif
endif
go to 700
800 continue
c
c record the last eigenvalue
c
k = k + 1
w(k) = z(jlam)**2
dlamda(k) = d(jlam)
indxp(k) = jlam
else
jlam = n
k = n + 1
k2 = 0
do 671 j = n,1,-1
if(abs(rho*z(j)) .le. tol)
c if(abs(rho*z(j)) .le. 1.0d-10)
* then
c
c deflate due to small z component
c
k2 = k2 + 1
indxp(n-k2+1) = j
if (j .eq. 1) go to 1111
else
jlam = j
go to 701
endif
671 continue
701 continue
j = j - 1
if (j .lt. 1) go to 801
if(abs(rho*z(j)) .le. tol)
* then
c
c deflate due to small z component
c
k2 = k2 + 1
indxp(n-k2+1) = j
else
call deflat(j,jlam,jdef,indx,n,ldq,q,d,z,tol)
if (jdef .le. 0)
* then
k = k - 1
w(n-k+1) = z(jlam)**2
dlamda(n-k+1) = -d(jlam)
indxp(n-k+1) = jlam
jlam = j
else
k2 = k2 + 1
indxp(n-k2+1) = jdef
endif
endif
go to 701
801 continue
c
c record the last eigenvalue
c
k = k - 1
w(n-k+1) = z(jlam)**2
dlamda(n-k+1) = -d(jlam)
indxp(n-k+1) = jlam
k = n - k + 1
rho = -rho
endif
c
c compute the updated eigenvalues of the deflated problem
c
c
kbins = k/kgran + 1
kbins = min(kbins,20)
krem = mod(k,kbins)
msize = (k - krem)/kbins
do 900 j = 1,kbins
ksize(j) = msize
900 continue
do 910 j = 1,krem
ksize(j) = ksize(j) + 1
910 continue
kstart(1) = 1
kstop(1) = ksize(1)
kwork(49) = k
kwork(48) = -1
if (rhoge0) kwork(48) = 1
if ( kbins .gt. 1 ) then
c
do 920 j = 2,kbins
kstart(j) = kstop(j-1) + 1
kstop(j) = kstop(j-1) + ksize(j)
kwork(j) = kstart(j)
kwork(kbins+j) = kstop(j)
call nxtag(myid,jtemp)
call spawn(myid,jtemp,evdrv,kwork(49),
* kwork(j),kwork(kbins+j),
* ldq,n,q,d,rho,z,dlamda,q2,
* w,indxp,indx,kwork(48),ifail)
920 continue
call evdrv(k,kstart(1),kstop(1),ldq,n,q,d,rho,z,
* dlamda,q2,w,indxp,indx,kwork(48),ifail)
c
c kbins-1 processes were spawned
c place a join point here and resume when all spawned
c processes have checked in
c
c
else
c
c there was not sufficient granularity to warrant spawning
c of additional processes to compute roots
c
kstop(1) = k
call evdrv(k,kstart(1),kstop(1),ldq,n,q,d,rho,z,
* dlamda,q2,w,indxp,indx,kwork(48),ifail)
endif
return
c
2222 continue
c
c store the updated eigenvectors back into q
c
k = kwork(49)
do 1100 j = k+1,n
jp = indxp(j)
jjpp = indx(jp)
do 1000 i = 1,n
q2(i,jp) = q(i,jjpp)
1000 continue
1100 continue
do 1300 j = 1,n
do 1200 i = 1,n
q(i,j) = q2(i,j)
1200 continue
1300 continue
c
return
c
c last card of sesupd
c
end
End of statses.f
echo stseswait.f 1>&2
cat >stseswait.f <<'End of stseswait.f'
subroutine sesupd(myid,ldq,n,q,d,rho,z,x,dlamda,q2,delta,w,indxp,
* indx,kwork,ifail)
implicit real*8 (a-h,o-z)
CVD$G NOCONCUR
c***********************************************************************
c
c
c this subroutine will compute the updated eigensystem of a
c of a symmetric matrix after modification by a rank one
c symmetric matrix.
c
c a = qdq' + rho*z*z'
c
c it is assumed that the eigenvectors of the original matrix
c are stored in q, and the eigenvalues are in d.
c the algorithm consists of three stages...
c
c
c the first stage constists of deflating the size of
c the problem when there multiple eigenvalues or if there
c zero of the vector q'z. for each such ocurrence the dimension
c is reduced by one.
c
c the second stage consists of calculating the updated
c eigenvalues of the reduced problem. this requires a call
c to the zero finding routine evupd.
c
c the final stage consists of computing the updated eigenvectors
c directly using the updated eigenvalue.
c
c
c the algorithm requires o(n**2) operations to update the
c eigenvectors, but n**3 + o(n**2) to update the eigenvectors.
c
c
c input variables...
c
c n the dimension of the problem. q is n x n
c
c q an n x n matrix that contains the eigenvectors of
c the original matrix on input and the updated
c eigenvectors on output.
c
c d a vector of length n. the original eigenvalues are
c contained in d on input. the updated eigenvectors
c are contained on output.
c
c rho a scalar
c
c z a vector of length n. on input this vector
c containes the updating vector. the contents of z
c are destroyed during the updating process.
c
c x a working array of length n.
c
c dlamda a working array of length n
c
c q2 a working array of dimension n x n
c
c delta a working array of length n
c
c w a working array of length n.
c
c indx an integer array of length n.
c
c ifail this integer variable indicates failure of the
c updating process with value 1, and success
c with value 0.
c
c called subroutines...
c
c evupd a subroutine for calculating the updated eigenvalues.
c
c
c***********************************************************************
double precision
* q(ldq,n),d(n),z(n),x(n),dlamda(n),q2(ldq,n),delta(n)
* ,w(n),rho
integer ldq,n,ifail
integer indx(n),indxp(n),kwork(*)
integer ksize(20),kstart(20),kstop(20),kbins,msize,krem,prcsys
integer kgran,ksect
common/prfpms/ksect,kgran
common/wsync/iwrite
logical rhoge0,wait
double precision eps,zero,one,two,s,t,evsprd,dmax,dlam
double precision epslon,enorm
external evdrv
c
c
c eps is machine precision
c
c write(6,*) ' in ses ldq n rho ifail ',ldq,n,rho,ifail
c write(6,*) 'fses myid rho q d z x ',myid,rho,q(1,1),d(1),z(1),x(1)
eps = epslon(1.0)
zero = 0.0d0
ifail = 0
one = 1.0d0
two = 2.0d0
rhoge0 = (rho .ge. zero)
go to (1111,2222),ientry(myid,2)
1111 continue
c
c compute q(transpose)*z
c
n1 = n/2
n1p1 = n1 + 1
do 100 j = 1,n1
z(j) = q(n1,j)
100 continue
sigma = kwork(50)
c write(6,*) ' sigma at 2 ',sigma
if (sigma .gt. 0.0) then
do 200 j = n1p1,n
z(j) = q(n1p1,j)
200 continue
else
do 201 j = n1p1,n
z(j) = -q(n1p1,j)
201 continue
endif
c
c normalize z so that norm(z) = 1
c
t = enorm(n,z)
c call lockon(iwrite)
c write(6,*) ' n t z1 zn ',n,t,z(1),z(n)
c call lockoff(iwrite)
do 300 j = 1,n
z(j) = z(j)/t
indx(j) = j
300 continue
rho = rho*t*t
c
c calculate the allowable deflation tolerence
c
tol = (1.0d2)*eps*max(abs(d(1)),abs(d(n)))
if (abs(rho) .le. tol) return
c
c
c order the eigenvalues
c
c write(6,*) ' before order evs ',d(1),d(n)
nm1 = n - 1
do 600 j = 1,nm1
t = d(1)
s = z(1)
inx = indx(1)
k = n - j + 1
do 500 i = 2,k
im1 = i - 1
if (d(i) .lt. t) go to 400
t = d(i)
s = z(i)
inx = indx(i)
go to 500
400 continue
d(im1) = d(i)
d(i) = t
z(im1) = z(i)
z(i) = s
indx(im1) = indx(i)
indx(i) = inx
500 continue
600 continue
c write(6,*) ' after order evs ',d(1),d(n)
c
c if there multiple eigenvalues then the problem deflates.
c here the number of equal eigenvalues are found.
c then an elementary reflector is computed to rotate the
c corresponding eigensubspace so that certain components of
c z are zero in this new basis.
c
if (rhoge0)
*then
k = 0
k2 = n + 1
do 670 j = 1,n
if(rho*abs(z(j)) .le. tol)
* then
c
c deflate due to small z component
c
k2 = k2 - 1
indxp(k2) = j
if (j .eq. n) go to 1111
else
jlam = j
go to 700
endif
670 continue
700 continue
j = j + 1
if (j .gt. n) go to 800
if(rho*abs(z(j)) .le. tol)
c if(rho*abs(z(j)) .le. 1.0d-10)
* then
c
c deflate due to small z component
c
k2 = k2 - 1
indxp(k2) = j
else
call deflat(j,jlam,jdef,indx,n,ldq,q,d,z,tol)
if (jdef .le. 0)
* then
k = k + 1
w(k) = z(jlam)**2
dlamda(k) = d(jlam)
indxp(k) = jlam
jlam = j
else
k2 = k2 - 1
indxp(k2) = jdef
endif
endif
go to 700
800 continue
c
c record the last eigenvalue
c
k = k + 1
w(k) = z(jlam)**2
dlamda(k) = d(jlam)
indxp(k) = jlam
else
jlam = n
k = n + 1
k2 = 0
do 671 j = n,1,-1
if(abs(rho*z(j)) .le. tol)
c if(abs(rho*z(j)) .le. 1.0d-10)
* then
c
c deflate due to small z component
c
k2 = k2 + 1
indxp(n-k2+1) = j
if (j .eq. 1) go to 1111
else
jlam = j
go to 701
endif
671 continue
701 continue
j = j - 1
if (j .lt. 1) go to 801
if(abs(rho*z(j)) .le. tol)
* then
c
c deflate due to small z component
c
k2 = k2 + 1
indxp(n-k2+1) = j
else
call deflat(j,jlam,jdef,indx,n,ldq,q,d,z,tol)
if (jdef .le. 0)
* then
k = k - 1
w(n-k+1) = z(jlam)**2
dlamda(n-k+1) = -d(jlam)
indxp(n-k+1) = jlam
jlam = j
else
k2 = k2 + 1
indxp(n-k2+1) = jdef
endif
endif
go to 701
801 continue
c
c record the last eigenvalue
c
k = k - 1
w(n-k+1) = z(jlam)**2
dlamda(n-k+1) = -d(jlam)
indxp(n-k+1) = jlam
k = n - k + 1
rho = -rho
endif
c write(6,*) ' begin a problem ------------------------------- '
c write(6,*) ' '
c write(6,*) k,rho
c do 6666 jj = 1,k
c write(6,*) z(indxp(jj)),w(jj),dlamda(jj)
c6666 continue
c write(6,*) ' begin a problem ------------------------------- '
c
c
c compute the updated eigenvalues of the deflated problem
c
c
kbins = k/kgran + 1
kbins = min(kbins,20)
krem = mod(k,kbins)
msize = (k - krem)/kbins
do 900 j = 1,kbins
ksize(j) = msize
900 continue
do 910 j = 1,krem
ksize(j) = ksize(j) + 1
910 continue
c call lockon(iwrite)
c write(6,*) ' from ses w ',w(1),w(2),w(k)
c call lockoff(iwrite)
kstart(1) = 1
kstop(1) = ksize(1)
kwork(49) = k
kwork(48) = -1
if (rhoge0) kwork(48) = 1
c write(6,*) ' rhoge0 kwork ',rhoge0,kwork(48)
c
if ( kbins .gt. 1 ) then
c write(6,*) ' about to spawn',kbins,' evdrvs from ses ',myid
c
do 920 j = 2,kbins
kstart(j) = kstop(j-1) + 1
kstop(j) = kstop(j-1) + ksize(j)
kwork(j) = kstart(j)
kwork(kbins+j) = kstop(j)
c write(6,*) ' bef spawn evdrv ',kwork(49),
c * kwork(j),kwork(kbins+j),kwork(48)
c call lockon(iwrite)
c write(6,*) ' about to spawn evdrv ',k,kstart(j),kstop(j)
c call lockoff(iwrite)
call nxtag(myid,jtemp)
call spawn(myid,jtemp,evdrv,kwork(49),
* kwork(j),kwork(kbins+j),
* ldq,n,q,d,rho,z,dlamda,q2,
* w,indxp,indx,kwork(48),ifail)
c write(6,*) ' tag assigned ',jtemp
920 continue
c call lockon(iwrite)
c write(6,*) ' about to call evdrv ',k,kstart(1),kstop(1)
c call lockoff(iwrite)
call evdrv(k,kstart(1),kstop(1),ldq,n,q,d,rho,z,
* dlamda,q2,w,indxp,indx,kwork(48),ifail)
c
c kbins-1 processes were spawned
c place a join point here and resume when all spawned
c processes have checked in
c
c
else
c
c there was not sufficient granularity to warrant spawning
c of additional processes to compute roots
c
kstop(1) = k
c write(6,*) 'bef rho q d z x ',rho,q(1,1),d(1),z(1),x(1)
c call lockon(iwrite)
c write(6,*) ' about to call evdrv ',k,kstart(1),kstop(1)
c call lockoff(iwrite)
call evdrv(k,kstart(1),kstop(1),ldq,n,q,d,rho,z,
* dlamda,q2,w,indxp,indx,kwork(48),ifail)
endif
if( wait(myid,2) ) return
c
2222 continue
c
c store the updated eigenvectors back into q
c
k = kwork(49)
do 1100 j = k+1,n
jp = indxp(j)
jjpp = indx(jp)
do 1000 i = 1,n
q2(i,jp) = q(i,jjpp)
1000 continue
1100 continue
do 1300 j = 1,n
do 1200 i = 1,n
q(i,j) = q2(i,j)
1200 continue
1300 continue
c call lockon(iwrite)
c write(6,*) ' after ret in ses ',k,n
c write(6,*) ' k n z1 zn ',k,n,q(1,1),q(n,1)
c call lockoff(iwrite)
c ifail = n-k
c
return
c
c last card of sesupd
c
end
End of stseswait.f
echo stuffspawn.f 1>&2
cat >stuffspawn.f <<'End of stuffspawn.f'
double precision a,b
common /prbdef/ a(1000),b(100),itmp(10),jtmp(10),myid(10)
EXTERNAL PARALG
nblks = 8
do 10 j = 1,10
itmp(j) = j
jtmp(j) = j
10 continue
write(6,*) ' input nprocs '
read (5,*) nprocs
t1 = second(foo)
c
CALL SCHED(nprocs,paralg,nblks,a,b,itmp,jtmp,myid)
c
t2 = second(foo)
write(6,*) ' time = ',t2-t1,' nprocs = ',nprocs
nn = 36
do 100 j = 1,nn
write(6,*) a(j)
100 continue
stop
end
c
subroutine paralg(n,a,b,itmp,jtmp,myid)
integer itmp(*),jtmp(*),myid(*)
double precision a(*),b(*)
integer mychkn(1)
EXTERNAL STUFF1
c
c this is the driver for filling a packed triangular matrix with
c i on the i-th diagonal and -(i+j) in the (i,j) off diagonal position
c
icount = 1
do 200 j = 1,n-1
c
c
c the j-th diagonal waits for the diagonal above to complete
c
c the j-th diagonal completion will allow
c the (j+1)-st diagonal to start
c
c
jobtag = j
icango = 1
if (jobtag .eq. 1) icango = 0
nchks = 1
mychkn(1) = j+1
c
c we just set up data dependencies and are ready to put
c this process on the queue
c
CALL DEP(jobtag,icango,nchks,mychkn)
myid(jobtag) = jobtag
CALL PUTQ(jobtag,stuff1,myid(jobtag),n,
& a(icount),jtmp(j),itmp(1))
c
c when the data dependencies for process jobtag are satisfied
c the following call will be made
c
c call stuff1(myid....,itmp(1))
c
icount = icount + (n-j+1)
200 continue
c
icango = 1
nchks = 0
mychkn(1) = n+1
c
CALL DEP(n,icango,nchks,mychkn)
myid(n) = n
CALL PUTQ(n,stuff1,myid(n),n,a(icount),jtmp(n),itmp(1))
c
return
end
c
subroutine stuff1(myid,n,a,j,itmp)
double precision a(*)
integer myid,n,j,itmp(*)
logical wait
EXTERNAL STUFF2,STUFF3
c
c write(6,*) ' enter stuff1 ',myid,j
c
c write(6,*) ' enter stuff1 ',ientry(myid),myid
go to (1111,2222,3333),ientry(myid,3)
1111 continue
ii = 2
do 100 i = 2,n
c
CALL NXTAG(myid,jdummy)
c write(6,*) ' about to spawn id jd ',myid,jdummy
CALL SPAWN(myid,jdummy,stuff2,a(ii + 1),itmp(i),itmp(j))
c
c this spawns a process that will execute a call to stuff2
c and report completion to process MYID
c
ii = ii + 1
100 continue
call stuff2(a(2),itmp(1),itmp(j))
if (wait(myid,2)) return
c
c return to help out and then return here (at label 2222)
c on the next reentry
c
2222 continue
ii = 2
do 200 i = 2,n
c
CALL NXTAG(myid,jdummy)
c write(6,*) ' about to spawn 3 id jd ',myid,jdummy
CALL SPAWN(myid,jdummy,stuff3,a(ii + 1),itmp(i),itmp(j))
c
c this spawns a process that will execute a call to stuff2
c and report completion to process MYID
c
ii = ii + 1
200 continue
call stuff2(a(2),itmp(1),itmp(j))
if (wait(myid,3)) return
3333 continue
a(1) = j
c
return
end
subroutine stuff2(a,i,j)
double precision a(*),one
one = 1.0d0
a(1) = 0.0d0
c write(6,*) ' enter stuff2 ',i,j
c do 100 kk = 1,1000000
c a(1) = a(1) + one
c 100 continue
a(1) = -(i+j)
return
end
subroutine stuff3(a,i,j)
double precision a(*),one,save
one = 1.0d0
save = a(1)
c write(6,*) ' enter stuff3 ',i,j
c do 100 kk = 1,1000000
c a(1) = a(1) + one
c 100 continue
a(1) = -(i+j) + save
return
end
c
End of stuffspawn.f
echo testout 1>&2
cat >testout <<'End of testout'
End of testout
echo testrun 1>&2
cat >testrun <<'End of testrun'
make sched; make graph
make xeig; xeig < data
make geig; geig < data
make xtest; xtest < data
make gtest; gtest < data
make xdandc; xdandc < data
make gdandc; gdandc < data
make xwait; xwait < data
make gwait; gwait < data
End of testrun