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|
subroutine dasrti(fname)
c ====================================================================
C dasrt
c ====================================================================
c
c Copyright INRIA/ENPC
INCLUDE '../stack.h'
c
character*(*) fname
character*(nlgh+1) namjac
common/cjac/namjac
integer iadr,sadr,gettype
c
double precision atol,rtol,t0
integer info(15),topk,topw
logical hotstart,type,getexternal,getrvect
logical checkrhs,checklhs,getrmat,cremat,getscalar
double precision tout,tstop,maxstep,stepin
character*(nlgh+1) namer,namej,names
common /dassln/ namer,namej,names
external bresd,bjacd,bsurfd
external setfresd,setfjacd,setfsurfd
common/ierode/iero
c
data atol/1.d-7/,rtol/1.d-9/
c
iadr(l)=l+l-1
sadr(l)=(l/2)+1
c SCILAB function : dasrt
c --------------------------
c [y0,nvs,[,hotdata]]=dasrt(y0,t0,t1[,atol,rtol],res[,jac],nh,h,info
c [,hotdata])
iero=0
maxord=5
lbuf = 1
topk=top
topw=top+1
lw = lstk(topw)
l0 = lstk(top+1-rhs)
if (.not.checkrhs(fname,6,11)) return
if (.not.checklhs(fname,2,3)) return
c checking variable y0 (number 1)
c -------------------------------
ky=top-rhs+1
if(.not.getrmat(fname,topk,ky,n1,m1,l1))return
neq=n1
lydot=l1+n1
info(11)=0
if (m1 .eq.1) then
if (.not.cremat(fname,topw,0,n1,1,lydot,lc)) return
topw=topw+1
info(11)=1
call dset(n1,0.0d0,stk(lydot),1)
elseif(m1.ne.2) then
err = 1
call error(89)
return
else
il1 = iadr(lstk(top-rhs+1))
istk(il1+2)=1
endif
c checking variable t0 (number 2)
c ----------------------------
kt0=top-rhs+2
if(.not.getscalar(fname,topk,kt0,lr2))return
t0=stk(lr2)
c checking variable t1 (number 3)
c -------------------------------
if(.not.getrmat(fname,topk,top-rhs+3,m3,n3,l3))return
nt=m3*n3
c
c checking variable atol (number 4)
c --------------------------------
iskip=0
itype = gettype(top-rhs+4)
if ( itype .ne. 1) then
if (.not.cremat(fname,topw,0,1,1,latol,lc)) return
topw=topw+1
if (.not.cremat(fname,topw,0,1,1,lrtol,lc)) return
topw=topw+1
stk(latol)=atol
stk(lrtol)=rtol
info(2)=0
iskip=iskip+2
goto 1105
endif
if(.not.getrvect(fname,topk,top-rhs+4,m4,n4,latol))return
m4 = m4*n4
c checking variable rtol (number 5)
c --------------------------------
itype = gettype(top-rhs+5)
if (itype .ne. 1) then
if (.not.cremat(fname,topw,0,1,1,lrtol,lc)) return
topw=topw+1
stk(lrtol)=lrtol
info(2)=0
iskip=iskip+1
goto 1105
endif
if(.not.getrvect(fname,topk,top-rhs+5,m5,n5,lrtol))return
m5 = m5*n5
if(m5.ne.m4) then
call error(60)
return
endif
if(m5.eq.1) then
info(2)=0
else
info(2)=1
endif
c checking variable res (number 6)
c --------------------------------
1105 kres=top-rhs+6-iskip
if (.not.getexternal(fname,topk,kres,namer,type,
$ setfresd)) return
c checking variable number 7
c -----------------------------
kjac=top-rhs+7-iskip
if(kjac.gt.top) then
iskip=iskip+1
info(5)=0
else
is7 = gettype(kjac)
if(is7.eq.15) then
c . info or jac ? get list size to decide
il7=iadr(lstk(kjac))
if (istk(il7).lt.0) il7=istk(il7+1)
if (istk(il7+1).eq.2) then
c . jac
is7=13
endif
endif
if((is7.ne.10).and.(is7.ne.11).and.(is7.ne.13)) then
iskip=iskip+1
info(5)=0
else
info(5)=1
if (.not.getexternal(fname,topk,kjac,namej,type,
$ setfjacd)) return
endif
endif
c DASRT nh,h
c checking variable number 8
c -----------------------------
if(.not.getscalar(fname,topk,top-rhs+8-iskip,lr8))return
nh=int(stk(lr8))
c checking variable number 9
ksurf=top-rhs+9-iskip
if (.not.getexternal(fname,topk,ksurf,names,type,
$ setfsurfd)) return
c
c checking variable info (number 10)
c ------------------------------------
kinfo = top-rhs+10-iskip
if (kinfo.gt.top) then
info(4)=0
info(3)=0
info(6)=0
info(7)=0
info(8)=0
info(10)=0
info(11)=0
iskip=iskip+1
goto 10
endif
il10 = iadr(lstk(top-rhs+10-iskip))
if (istk(il10) .ne. 15) then
c default info values
info(4)=0
info(3)=0
info(6)=0
info(7)=0
info(8)=0
info(10)=0
info(11)=0
iskip=iskip+1
goto 10
endif
n10=istk(il10+1)
l10=sadr(il10+n10+3)
c
c -- subvariable tstop(info) --
il10e1=iadr(l10+istk(il10+1+1)-1)
l10e1 = sadr(il10e1+4)
m10e1 = istk(il10e1+1)*istk(il10e1+2)
if(m10e1.eq.0) then
info(4)=0
else
info(4)=1
tstop=stk(l10e1)
endif
c
c -- subvariable imode(info) --
il10e2=iadr(l10+istk(il10+1+2)-1)
l10e2 = sadr(il10e2+4)
info(3)=stk(l10e2)
c
c -- subvariable band(info) --
il10e3=iadr(l10+istk(il10+1+3)-1)
m10e3 =istk(il10e3+2)*istk(il10e3+2)
l10e3 = sadr(il10e3+4)
if(m10e3.eq.0) then
info(6)=0
elseif(m10e3.eq.2) then
info(6)=1
ml=stk(l10e3)
mu=stk(l10e3+1)
else
err=10-iskip
call error(89)
return
endif
c
c -- subvariable maxstep(info) --
il10e4=iadr(l10+istk(il10+1+4)-1)
m10e4 =istk(il10e4+2)*istk(il10e4+2)
l10e4 = sadr(il10e4+4)
if(m10e4.eq.0) then
info(7)=0
else
info(7)=1
maxstep=stk(l10e4)
endif
c
c -- subvariable stepin(info) --
il10e5=iadr(l10+istk(il10+1+5)-1)
m10e5 =istk(il10e5+2)*istk(il10e5+2)
l10e5 = sadr(il10e5+4)
if(m10e5.eq.0) then
info(8)=0
else
info(8)=1
stepin=stk(l10e5)
endif
c
c -- subvariable nonneg(info) --
il10e6=iadr(l10+istk(il10+1+6)-1)
l10e6 = sadr(il10e6+4)
info(10)=stk(l10e6)
c
c -- subvariable isest(info) --
il10e7=iadr(l10+istk(il10+1+7)-1)
l10e7 = sadr(il10e7+4)
isest=stk(l10e7)
if(isest.eq.1) info(11)=1
10 hotstart=.false.
if(rhs.eq.11-iskip) then
hotstart=.true.
c
c checking variable hotdata (number 11)
c --------------------------------------
il11 = iadr(lstk(top-rhs+11-iskip))
if (istk(il11) .ne. 1) then
err = 11-iskip
call error(53)
return
endif
n11 = istk(il11+1)*istk(il11+2)
lhot = sadr(il11+4)
elseif(rhs.ne.10-iskip) then
call error(39)
return
endif
c --------------------Work Tables
if (.not.cremat(fname,topw,0,1,1,lw15,lc)) return
topw=topw+1
if (.not.cremat(fname,topw,0,1,1,lw17,lc)) return
topw=topw+1
il17=iadr(lw17)
c dasrt needs more
if (.not.cremat(fname,topw,0,1,nh,lgr,lc)) return
topw=topw+1
lgroot=iadr(lgr)
c
if(info(6).eq.0) then
C for the full (dense) JACOBIAN case
lrw = 50+(maxord+4)*neq+neq**2+3*nh
elseif(info(5).eq.1) then
C for the banded user-defined JACOBIAN case
lrw=50+(maxord+4)*neq+(2*ml+mu+1)*neq+3*nh
elseif(info(5).eq.0) then
C for the banded finite-difference-generated JACOBIAN case
lrw = 50+(maxord+4)*neq+(2*ml+mu+1)*neq+2*(neq/(ml+mu+1)+1)+
$ 3*nh
endif
liw=20+neq
if(.not.hotstart) then
if (.not.cremat(fname,topw,0,1,lrw,lrwork,lc)) return
topw=topw+1
if (.not.cremat(fname,topw,0,1,sadr(liw)+1,liwork,lc)) return
topw=topw+1
else
if(lrw+liw.gt.n11) then
err=11-iskip
call error(89)
return
endif
lrwork=lhot
liwork=lhot+lrw
call entier(liw,stk(liwork),istk(iadr(liwork)))
endif
c
if(info(4).eq.1) then
stk(lrwork)=tstop
endif
if(info(7).eq.1) then
stk(lrwork+1)=maxstep
endif
if(info(8).eq.1) then
stk(lrwork+2)=stepin
endif
if(info(6).eq.1) then
istk(iadr(liwork))=ml
istk(iadr(liwork+1))=mu
endif
c structure d'info pour les externals
top=topw
lw=lstk(top)
ilext=iadr(lw)
istk(ilext)=3
istk(ilext+1)=ilext+5
istk(ilext+2)=ilext+9
istk(ilext+3)=ilext+13
istk(ilext+4)=ilext+16
istk(ilext+5)=kres
istk(ilext+6)=neq
istk(ilext+7)=kt0
istk(ilext+8)=ky
istk(ilext+9)=kjac
istk(ilext+10)=neq
istk(ilext+11)=kt0
istk(ilext+12)=ky
istk(ilext+13)=ksurf
istk(ilext+14)=kt0
istk(ilext+15)=ky
c istk(ilext+16)=ky
lw=sadr(ilext)+16
lw0=lw
ilyr=iadr(lw)
istk(ilyr)=1
istk(ilyr+1)=2*n1+1
istk(ilyr+3)=0
lyr=sadr(ilyr+4)
lyri=lyr-(2*n1+1)
k=0
info(1)=0
if(hotstart) info(1)=1
info(9)=0
do 1120 i=0,nt-1
tout=stk(l3+i)
c
1115 k=k+1
lyri=lyri+(2*n1+1)
lw=lyri+(2*n1+1)
lstk(top+1)=lw
margin=(k-1)*(2*n1+1)+4
lw1=lw+margin
if(lhs.eq.3) lw1=lw1+4+lrw+liw
if(lw1-lstk(bot).gt.0) then
c not enough memory
call msgstxt('Not enough memory to go further')
k=k-1
goto 1125
endif
if (tout .eq. t0) then
stk(lyri)=tout
call unsfdcopy(n1,stk(l1),1,stk(lyri+1),1)
call unsfdcopy(n1,stk(lydot),1,stk(lyri+n1+1),1)
l1=lyri+1
lydot=lyri+n1+1
t0=tout
goto 1120
else
stk(lyri)=tout
call unsfdcopy(n1,stk(l1),1,stk(lyri+1),1)
call unsfdcopy(n1,stk(lydot),1,stk(lyri+n1+1),1)
l1=lyri+1
lydot=lyri+n1+1
call ddasrt(bresd,n1,t0,stk(l1),stk(lydot),
& stk(lyri),info,stk(lrtol),stk(latol),idid,
& stk(lrwork),lrw,istk(iadr(liwork)),liw,stk(lw15),
& istk(il17),bjacd,bsurfd,nh,istk(lgroot))
C SUBROUTINE DDASRT (RES,NEQ,T,Y,YPRIME,TOUT,
C * INFO,RTOL,ATOL,IDID,RWORK,LRW,IWORK,LIW,RPAR,IPAR,JAC,
C * G,NG,JROOT)
endif
if(err.gt.0) return
if(idid.eq.1) then
C A step was successfully taken in the intermediate-output mode.
C The code has not yet reached TOUT.
stk(lyri)=t0
info(1)=1
goto 1115
elseif(idid.eq.2) then
C The integration to TSTOP was successfully completed (T=TSTOP)
goto 1125
elseif(idid.eq.3) then
C The integration to TOUT was successfully completed (T=TOUT) by
C stepping past TOUT. Y,ydot are obtained by interpolation.
t0=tout
info(1)=1
goto 1120
elseif(idid.eq.4) then
C one or more root found
stk(lyri)=t0
C stk(lrw+41)
goto 1125
elseif(idid.eq.-1) then
C A large amount of work has been expended (About 500 steps)
call msgstxt('to many steps necessary to reached next '//
& 'required time discretization point')
call msgstxt('Change discretisation of time vector t '//
& 'or decrease accuracy')
stk(lyri)=t0
goto 1125
elseif(idid.eq.-2) then
C The error tolerances are too stringent.
t0=tout
info(1)=1
goto 1115
c buf='The error tolerances are too stringent'
c call error(9982)
c return
elseif(idid.eq.-3) then
C The local error test cannot be satisfied because you specified
C a zero component in ATOL and the corresponding computed solution
C component is zero. Thus, a pure relative error test is impossible
C for this component.
buf='atol and computed test value are zero'
call error(9983)
return
elseif(idid.eq.-6) then
C repeated error test failures on the last attempted step.
call msgstxt('A singularity in the solution '//
& 'may be present')
goto 1125
elseif(idid.eq.-7) then
C The corrector could not converge.
call msgstxt('May be inaccurate or ill-conditioned '//
& 'JACOBIAN')
goto 1125
elseif(idid.eq.-8) then
C The matrix of partial derivatives is singular.
buf='The matrix of partial derivatives is singular'//
& 'Some of your equations may be redundant'
call error(9986)
return
elseif(idid.eq.-9) then
C The corrector could not converge. there were repeated error
c test failures in this step.
call msgstxt('Either ill-posed problem or '//
& 'discontinuity or singularity encountered')
goto 1125
elseif(idid.eq.-10) then
call msgstxt('external ''res'' return many times'//
& 'with ires=-1')
goto 1125
elseif(idid.eq.-11) then
C IRES equal to -2 was encountered and control is being returned to the
C calling program.
buf='error in external ''res'' '
call error(9989)
return
elseif(idid.eq.-12) then
C DDASSL failed to compute the initial YPRIME.
buf='dassrt failed to compute the initial Ydot.'
call error(9990)
return
elseif(idid.eq.-33) then
C The code has encountered trouble from which
C it cannot recover. A message is printed
C explaining the trouble and control is returned
C to the calling program. For example, this occurs
C when invalid input is detected.
call msgstxt('dassrt encountered trouble')
goto 1125
endif
t0=tout
info(1)=1
1120 continue
c
1125 top=topk-rhs
mv=lw0-l0
c
c Variable de sortie: y0
c
top=top+1
if(k.eq.0) istk(ilyr+1)=0
istk(ilyr+2)=k
lw=lyr+(2*n1+1)*k
lstk(top+1)=lw-mv
c
c Variable de sortie: roots
c
top=top+1
ilw=iadr(lw)
err=lw+4+nh+1-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
istk(ilw)=1
istk(ilw+1)=1
istk(ilw+2)=1
istk(ilw+3)=0
l=sadr(ilw+4)
stk(l)=t0
kkk=1
do 1153 i=0,nh-1
if(istk(lgroot+i).ne.0) then
l=l+1
kkk=kkk+1
istk(ilw+2)=istk(ilw+2)+1
stk(l)=i+1
endif
1153 continue
lw=l+1
lstk(top+1)=lw-mv
if(lhs.eq.2) goto 1150
c
c Variable de sortie: rwork
c
top=top+1
ilw=iadr(lw)
err=lw+4+lrw+liw-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
istk(ilw)=1
istk(ilw+1)=lrw+liw
istk(ilw+2)=1
istk(ilw+3)=0
lw=sadr(ilw+4)
call unsfdcopy(lrw,stk(lrwork),1,stk(lw),1)
call int2db(liw,istk(iadr(liwork)),1,stk(lw+lrw),1)
lw=lw+lrw+liw
lstk(top+1)=lw-mv
c
c Remise en place de la pile
1150 call unsfdcopy(lw-lw0,stk(lw0),1,stk(l0),1)
return
end
|
