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|
subroutine matopt
c Copyright INRIA
INCLUDE '../stack.h'
c
double precision zero,df0,zng,dxmin
double precision epsg,epsg1,epsf,dzs
integer top2,topin,topind,topx,top3
character*80 nomsub
common /optim/ nomsub
integer nizs,nrzs,ndzs
common /nird/ nizs,nrzs,ndzs
external foptim,boptim,fuclid,ctonb,ctcab
integer coin,coar,coti,cotd,cosi,cosd,nfac
c
character*(nlgh+1) namef,namej
common/csolve/namef,namej
c for semidef
double precision abstol,reltol,nu,tv
integer sz,upsz
c
integer impn(nsiz)
logical eqid, getscalar
integer iadr, sadr
c
parameter (nsiz1=nsiz-1)
data impn/672732690,nsiz1*673720360/
data coin,coar,coti,cotd,cosi,cosd,nfac
& / 5906,6922,4637,3357,4636,3356, 0/
c
iadr(l)=l+l-1
sadr(l)=(l/2)+1
c
if (ddt .eq. 4) then
write(buf(1:4),'(i4)') fin
call basout(io,wte,' matopt '//buf(1:4))
endif
c
c optim quapro semidef fsolve lsqrsolve qld
c 1 2 3 4 5 6
c
goto(01,400,500,600,700,800 ) fin
c
c optim
01 continue
napm=100
itmax=100
epsf=0.0d+0
iepsx=1
indtes=0
imp=0
io=wte
if(wio.gt.0) io=wio
zero=stk(leps)
df0=1.0d+0
immx=0
epsg=zero
indtv=0
icontr=1
ialg=1
irecd=0
ireci=0
c
if(infstk(top).eq.1) then
infstk(top)=0
if(eqid(idstk(1,top),impn)) then
if (.not.getscalar('optim',top,top,lr)) return
imp=stk(lr)
top=top-1
rhs=rhs-1
endif
endif
lf=lstk(top+1)
ldisp=lf+1
lizs=iadr(ldisp)
lrzs=ldisp
ldzs=ldisp
ldisp=ldzs+1
c
top2=top+1-rhs
top3=top2
topin=top2-1
il=iadr(lstk(top2))
if (rhs.lt.2) then
call error(39)
return
endif
c
c
c traitement de simul
l1=istk(il)
if((l1-10)*(l1-11)*(l1-13)*(l1-15).ne.0) then
err=top2-topin
call error(80)
return
endif
c cas simul=liste
if(istk(il).eq.10) then
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
nc=min(istk(il+5)-1,80)
nomsub(1:80)= ' '
call cvstr(nc,istk(il+6),nomsub,1)
if(err.gt.0) return
nomsub(nc+1:nc+1)=char(0)
call setfoptim(nomsub,irep)
if ( irep.eq.1) then
buf = nomsub
call error(50)
return
endif
isim=1
endif
c cas simul=macro ou liste
if(istk(il).eq.11.or.istk(il).eq.13.or.istk(il).eq.15) then
kopt=top2
isim=2
endif
top2=top2+1
il=iadr(lstk(top2))
c
c
c contraintes de borne (chaine "b" , xinf , xsup )
if(istk(il).eq.10.and.istk(il+5).eq.2.and.
+ abs(istk(il+6)).eq.11) then
if (rhs.lt.5) then
call error(39)
return
endif
top2=top2+1
il=iadr(lstk(top2))
if(istk(il).gt.2) then
err=top2-topin
call error(54)
return
endif
nbi=istk(il+1)*istk(il+2)
if(istk(il).eq.1) then
nbi=nbi*(istk(il+3)+1)
lbi=sadr(il+4)
else
lbi=sadr(il+9+nbi)
nbi=(istk(il+8+nbi)-1)*(istk(il+3)+1)
endif
top2=top2+1
il=iadr(lstk(top2))
if(istk(il).gt.2) then
err=top2-topin
call error(54)
return
endif
nbs=istk(il+1)*istk(il+2)
if(istk(il).eq.1) then
nbs=nbs*(istk(il+3)+1)
lbs=sadr(il+4)
else
lbs=sadr(il+9+nbs)
nbs=(istk(il+8+nbs)-1)*(istk(il+3)+1)
endif
if((nbs.ne.nbi)) then
call error(139)
return
endif
icontr=2
top2=top2+1
il=iadr(lstk(top2))
end if
c
c point initial
if(istk(il).gt.2) then
err=top2-topin
call error(54)
return
endif
topx=top2
nx1=istk(il+1)
nx2=istk(il+2)
itvx=istk(il)
ilx=il
if(istk(il).eq.1) then
nx=nx1*nx2*(istk(il+3)+1)
lx=sadr(il+4)
else
nx=(istk(il+8+nx1*nx2)-1)*(istk(il+3)+1)
lx=sadr(il+9+nx1*nx2)
endif
if (icontr.ne.1.and.nx.ne.nbi) then
call error(135)
return
endif
c a quoi servent les 2 lignes suivantes. elle pose pb pour le nom de la macro
c simulateur dans les messages d'erreur
c idstk(1,top-1)=nx1
c idstk(2,top-1)=nx2
c
c stockage de g
lg=ldisp
ldisp=lg + nx
err=ldisp - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
c
c choix d algorithme
if(istk(il).eq.10) then
if (istk(il+5)-1.ne.2) then
err=top2-topin
call error(36)
return
endif
ic1=abs(istk(il+6))
ic2=abs(istk(il+7))
ialg1=0
if (ic1.eq.26.and.ic2.eq.23) ialg1=1
if (ic1.eq.16.and.ic2.eq.12) ialg1=2
if (ic1.eq.23.and.ic2.eq.13) ialg1=10
if (ialg1.ne.0) then
ialg=ialg1
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
end if
endif
c
c df0
if(istk(il).eq.1.and.istk(il+1)*istk(il+2).eq.1) then
df0=stk(sadr(il+4))
if (df0.le.0) then
call error(143)
return
endif
if (top.eq.top2) go to 200
top2=top2 + 1
il=iadr(lstk(top2))
endif
c
c mmx
if(istk(il).eq.1.and.istk(il+1)*istk(il+2).eq.1) then
l=sadr(il+4)
mmx=int(stk(l))
immx=1
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
end if
c
c hot start (optimiseurs n1qn1 et qnbd)
if(istk(il).eq.1.and.istk(il+3).eq.0) then
if (ialg.ne.1) then
call error(137)
return
endif
ntv=istk(il+1)*istk(il+2)
if(icontr.eq.1.and.ntv.ne.nx*(nx+13)/2) then
err=top2-topin
call error(142)
return
endif
ltv=sadr(il+4)
indtv=1
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
end if
c
c chaine 'ar'
if(istk(il).ne.10) then
err=top2-topin
call error(55)
return
endif
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
if(istk(il+5)-1.ne.2 ) then
err=top2-topin
call error(36)
return
endif
if(abs(istk(il+6))+256*abs(istk(il+7)).ne.coar) goto 150
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
c
c napm et itmax
if(istk(il).eq.1.and.istk(il+1)*istk(il+2).eq.1) then
l=sadr(il+4)
napm=int(stk(l))
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
end if
if(istk(il).eq.1.and.istk(il+1)*istk(il+2).eq.1) then
l=sadr(il+4)
itmax=int(stk(l))
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
end if
c
c epsg,epsf,epsx (note : epsx est un vecteur)
if(istk(il).eq.1.and.istk(il+1)*istk(il+2).eq.1) then
epsg=stk(sadr(il+4))
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
endif
if(istk(il).eq.1.and.istk(il+1)*istk(il+2).eq.1) then
epsf=stk(sadr(il+4))
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
endif
if(istk(il).eq.1.and.istk(il+3).eq.0) then
if(istk(il+1)*istk(il+2).ne.nx) then
call error(138)
return
endif
iepsx=0
lepsx=sadr(il+4)
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
endif
c
c chaine 'in'
150 if(istk(il).ne.10) then
err=top2-topin
call error(55)
return
endif
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
if (istk(il+5)-1.ne.2) then
err=top2-topin
call error(36)
return
endif
if(abs(istk(il+6))+256*abs(istk(il+7)).eq.coin) then
if(isim.ne.1) then
buf='''in'' not allowed with simulator defined '//
$ 'by a function'
call error(9999)
return
endif
c on initialise nizs,nrzs,ndzs
indsim=10
if(isim.eq.1) then
call foptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& istk(lizs),sstk(lrzs),stk(ldzs))
else
call boptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& izs,rzs,dzs)
endif
if(err.gt.0) return
c
if(indsim.le.0) then
indopt=-7
if(indsim.eq.0) indopt=0
go to 350
endif
c stockage de izs,rzs,dzs dans la pile
l1=ldisp
lizs=iadr(l1)
lrzs=lizs+nizs
ldzs=sadr(lrzs+nrzs)
ldisp=ldzs + ndzs
err=ldisp - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
indsim=11
lstk(top+1)=ldisp
if(isim.eq.1) then
call foptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& istk(lizs),sstk(lrzs),stk(ldzs))
endif
if(indsim.le.0) then
if(indsim.eq.0) indopt=0
go to 350
endif
if (top2.eq.top) go to 200
top2=top2 + 1
il=iadr(lstk(top2))
endif
c
c izs et dzs en entree (chaine 'ti' et/ou 'td' suivie du tableau)
if(istk(il).ne.10) then
err=top2-topin
call error(55)
return
endif
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
if(istk(il+5)-1.ne.2) then
err=top2-topin
call error(36)
return
endif
if(abs(istk(il+6))+256*abs(istk(il+7)).eq.coti) then
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
if(istk(il).eq.1.and.istk(il+3).eq.0) then
nizs=istk(il+1)*istk(il+2)
lizs1=sadr(il+4)
lizs=iadr(lizs1)
do 185 i=0,nizs-1
istk(lizs+i)=int(stk(lizs1+i))
185 continue
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
endif
endif
if(istk(il).ne.10) then
err=top2-topin
call error(55)
return
endif
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
if(istk(il+5)-1.ne.2) then
err=top2-topin
call error(36)
return
endif
if(abs(istk(il+6))+256*abs(istk(il+7)).eq.cotd) then
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
if(istk(il).eq.1.and.istk(il+3).eq.0) then
ndzs=istk(il+1)*istk(il+2)
ldzs=sadr(il+4)
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
endif
endif
c
c mettre izs et/ou dzs en sortie (chaine 'si' ou 'sd')
if(istk(il).ne.10) then
err=top2-topin
call error(55)
return
endif
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
if(istk(il+5)-1.ne.2) then
err=top2-topin
call error(36)
return
endif
if(abs(istk(il+6))+256*abs(istk(il+7)).eq.cosi) then
ireci=1
if (top2.eq.top) go to 200
top2=top2+1
il=iadr(lstk(top2))
endif
c
if(istk(il).ne.10) then
err=top2-topin
call error(55)
return
endif
if (istk(il+1)*istk(il+2).ne.1) then
err=top2-topin
call error(89)
return
endif
if(istk(il+5)-1.ne.2) then
err=top2-topin
call error(36)
return
endif
if(abs(istk(il+6))+256*abs(istk(il+7)).ne.cosd) then
err=top2-topin
call error(36)
return
endif
irecd=1
c
c fin epluchage liste appel
200 if (top.ne.top2) then
call error(39)
return
endif
c
c creation des variables contenant le simulateur et ind
top=top+1
topind=top
lstk(top)=ldisp
il=iadr(ldisp)
istk(il)=1
istk(il+1)=1
istk(il+2)=1
istk(il+3)=0
ldisp=sadr(il+4)
ldisp=ldisp+1
c
top=top+1
lstk(top)=ldisp
il=iadr(ldisp)
istk(il)=1
istk(il+1)=il+2
istk(il+2)=kopt
istk(il+3)=topx
istk(il+4)=topind
ldisp=sadr(il+5)
c
c initialisation eventuelle de f et g
iarret=0
if (napm.lt.2.or.itmax.lt.1) iarret=1
c
if((icontr.eq.1.and.(ialg.eq.2.or.ialg.eq.10)).or.
& (icontr.eq.2.and.ialg.eq.1.and.indtv.eq.1) .or.
& (iarret.eq.1) ) then
indsim=4
lstk(top+1)=ldisp
if(isim.eq.1) then
call foptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& istk(lizs),sstk(lrzs),stk(ldzs))
else
call boptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& istk(lizs),sstk(lrzs),stk(ldzs))
endif
if(err.gt.0)return
if(indsim.le.0) then
indopt=-7
if(indsim.eq.0) indopt=0
go to 350
endif
if (napm.lt.2.or.itmax.lt.1) go to 300
endif
c
c appel de l optimiseur
c
c optimiseur n1qn1
if(icontr.eq.1.and.ialg.eq.1) then
lvar=ldisp
mode=3
ntv=nx*(nx+13)/2
ldisp=lvar + nx
if(indtv.eq.0) then
mode=1
ltv=lvar + nx
ldisp=ltv + ntv
endif
err=ldisp - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
do 50 i=0,nx-1
stk(lvar+i)=0.10d+0
50 continue
nitv=0
lstk(top + 1)=ldisp
c
c mise en memoire de parametres d entree pour l affectation de indop
itmax1=itmax
napm1=napm
epsg1=epsg
c
if(isim.eq.1) then
call n1qn1(foptim,nx,stk(lx),stk(lf),stk(lg),
& stk(lvar),epsg,mode,itmax,napm,imp,io,stk(ltv),
& istk(lizs),sstk(lrzs),stk(ldzs))
else
call n1qn1(boptim,nx,stk(lx),stk(lf),stk(lg),
& stk(lvar),epsg,mode,itmax,napm,imp,io,stk(ltv),
& istk(lizs),sstk(lrzs),stk(ldzs))
endif
if(err.gt.0) return
c affectation de indopt
epsg=sqrt(epsg)
indopt=9
if(itmax.ge.itmax1) indopt=5
if(napm.ge.napm1) indopt=4
if(epsg1.ge.epsg) indopt=1
go to 300
endif
c algorithme n1qn3
if(icontr.eq.1.and.ialg.eq.2) then
c calcul de epsrel
zng=0.0d+0
do 230 i=0,nx-1
zng=zng + stk(lg+i)**2
230 continue
zng=sqrt(zng)
if (zng.gt.0.0d+0) epsg=epsg/zng
c calcul du scalaire dxmin
dxmin=stk(leps)
if (iepsx.eq.0) then
dxmin=stk(lepsx)
if (nx.gt.1) then
do 235 i=1,nx-1
dxmin=min(dxmin,stk(lepsx+i))
235 continue
endif
endif
c tableaux de travail (mmx=nombre de mises a jour)
if (immx.eq.0) mmx=10
ntv=4*nx + mmx*(2*nx + 1)
ltv=ldisp
ldisp=ltv + ntv
err=ldisp - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
lstk(top+1)=ldisp
c
if(isim.eq.1) then
indsim=4
call foptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& istk(lizs),sstk(lrzs),stk(ldzs))
call n1qn3(foptim,fuclid,ctonb,ctcab,nx,stk(lx),stk(lf),
$ stk(lg),dxmin,df0,epsg,imp,io,mode,itmax,napm,
& stk(Ltv),Ntv,istk(lizs),sstk(lrzs),stk(ldzs) )
else
indsim=4
call boptim(indsim,nx,stk(lx),stk(lf),stk(lg),
& istk(lizs),sstk(lrzs),stk(ldzs))
call n1qn3(boptim,fuclid,ctonb,ctcab,nx,stk(lx),stk(lf),
& stk(lg),dxmin,df0,epsg,imp,io,mode,itmax,napm,
& stk(ltv),ntv,istk(lizs),sstk(lrzs),stk(ldzs) )
endif
if (err.gt.0) return
indopt=9
if (mode.eq.0) indopt=0
if (mode.eq.1) indopt=1
if (mode.eq.2) indopt=-10
if (mode.eq.3) indopt=7
if (mode.eq.4) indopt=5
if (mode.eq.5) indopt=4
if (mode.eq.6) indopt=3
if (mode.eq.7) indopt=7
go to 300
endif
c
c optimiseur n1fc1 (non smooth)
if(icontr.eq.1.and.ialg.eq.10) then
if (immx.eq.0) mmx=10
nitv=2*mmx + 2
itv1=5*nx + (nx+4)*mmx
itv2=(mmx+9)*mmx + 8
err=ldisp + iepsx*nx + nitv/2 +1 +itv1 +itv2 -lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
if (iepsx.eq.1) then
lepsx=ldisp
do 115 i=1,nx
stk(lepsx+i - 1)=zero
115 continue
ldisp=lepsx+nx
endif
litv=iadr(ldisp)
ltv1=sadr(litv+nitv)
ltv2=ltv1 + itv1
ldisp=ltv2 + itv2
lstk(top+1)=ldisp
if (isim.eq.1) then
call n1fc1(foptim,fuclid,nx,stk(lx),stk(lf),stk(lg),
& stk(lepsx),df0,epsf,zero,imp,io,mode,itmax,napm,mmx,
& istk(litv),stk(ltv1),stk(ltv2),istk(lizs),sstk(lrzs),
$ stk(ldzs))
else
call n1fc1(boptim,fuclid,nx,stk(lx),stk(lf),stk(lg),
& stk(lepsx),df0,epsf,zero,imp,io,mode,itmax,napm,mmx,
& istk(litv),stk(ltv1),stk(ltv2),istk(lizs),sstk(lrzs),
$ stk(ldzs))
endif
if (err.gt.0) return
c interpretation de la cause de retour
indopt=9
if (mode.eq.0)indopt=0
if (mode.eq.1)indopt=2
if (mode.eq.2)indopt=-10
if (mode.eq.4)indopt=5
if (mode.eq.5)indopt=4
if (mode.eq.6)indopt=3
go to 300
endif
c
c optimiseur qnbd
if(icontr.eq.2.and.ialg.eq.1) then
if (iepsx.eq.1) then
err=ldisp +nx - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
lepsx=ldisp
ldisp=lepsx + nx
do 118 i=0,nx-1
stk(lepsx+i)=zero
118 continue
endif
ntv1=nx*(nx+1)/2 + 4*nx + 1
nitv= 2*nx
if (indtv.eq.0) then
ntv=ntv1
err= ldisp + ntv + nitv/2 +1 - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
ltv=ldisp
litv=iadr(ltv+ntv)
lstk(top+1)=sadr(litv+nitv)
else
if (ntv.ne.ntv1+nitv) then
err=top2-topin
call error(142)
return
endif
ntv=ntv1
litv1=ltv+ntv
litv=iadr(litv1)
do 117 i=0,nitv-1
istk(litv+i)=int(stk(litv1+i))
117 continue
endif
indopt=1 +indtv
if(isim.eq.1) then
call qnbd(indopt,foptim,nx,stk(lx),stk(lf),
& stk(lg),imp,io,zero,napm,itmax,epsf,epsg,
& stk(lepsx),df0,stk(lbi),stk(lbs),nfac,
& stk(ltv),ntv,istk(litv),nitv,
& istk(lizs),sstk(lrzs),stk(ldzs))
else
call qnbd(indopt,boptim,nx,stk(lx),stk(lf),
& stk(lg),imp,io,zero,napm,itmax,epsf,epsg,
& stk(lepsx),df0,stk(lbi),stk(lbs),nfac,
& stk(ltv),ntv,istk(litv),nitv,
& istk(lizs),sstk(lrzs),stk(ldzs))
endif
if(err.gt.0) return
go to 300
endif
c
c optimiseur gcbd
if(icontr.eq.2.and.ialg.eq.2) then
nt=2
if (immx.eq.1) nt= max(1,mmx/3)
ntv=nx*(5 + 3*nt) + 2*nt +1
nitv=nx + nt + 1
err= ldisp + iepsx*nx + ntv + nitv/2 - lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
if (iepsx.eq.1) then
lepsx=ldisp
ltv=lepsx + nx
do 119 i=0,nx-1
stk(lepsx+i)=zero
119 continue
else
ltv=ldisp
endif
litv=iadr(ltv+ntv)
lstk(top+1)=sadr(litv+nitv)
indopt=1
if (indtes.ne.0) indopt=indtes
if(isim.eq.1) then
call gcbd(indopt,foptim,nomsub,nx,stk(lx),
& stk(lf),stk(lg),imp,io,zero,napm,itmax,epsf,epsg,
& stk(lepsx),df0,stk(lbi),stk(lbs),nfac,
& stk(ltv),ntv,istk(litv),nitv,
& istk(lizs),sstk(lrzs),stk(ldzs))
else
call gcbd(indopt,boptim,nomsub,nx,stk(lx),stk(lf),
& stk(lg),imp,io,zero,napm,itmax,epsf,epsg,
& stk(lepsx),df0,stk(lbi),stk(lbs),nfac,
& stk(ltv),ntv,istk(litv),nitv,
& istk(lizs),sstk(lrzs),stk(ldzs))
endif
if(err.gt.0) return
go to 300
endif
c
c algorithme non implante
call error(136)
return
c
c laissons la pile aussi propre qu on aurait aime la trouver
300 top2=top3
top =top3 + lhs - 1
fun=0
c
lhs1=lhs - ireci -irecd
if (lhs1.le.0) then
call error(41)
return
endif
c
c sauvegarde de f
il=iadr(lstk(top2))
istk(il)=1
istk(il+1)=1
istk(il+2)=1
istk(il+3)=0
l=sadr(il+4)
stk(l)=stk(lf)
lstk(top+1)=l+1
if(lhs.eq.1) go to 320
c
c sauvegarde de x
l=l+1
top2=top2 + 1
lstk(top2)=l
il=iadr(l)
if(itvx.eq.1) then
call icopy(4,istk(ilx),1,istk(il),1)
lx1=sadr(il+4)
else
call icopy(9+nx1*nx2,istk(ilx),1,istk(il),1)
lx1=sadr(il+9+nx1*nx2)
endif
ilx=il
lstk(top+1)=lx1+nx
call unsfdcopy(nx,stk(lx) ,1,stk(lx1),1)
if(lhs1.eq.2) go to 320
c
c sauvegarde de g
top2=top2 + 1
lstk(top2)=lstk(top+1)
il=iadr(lstk(top2))
if(itvx.eq.1) then
call icopy(4,istk(ilx),1,istk(il),1)
l=sadr(il+4)
else
call icopy(9+nx1*nx2,istk(ilx),1,istk(il),1)
l=sadr(il+9+nx1*nx2)
endif
call unsfdcopy(nx,stk(lg) ,1,stk(l),1)
lstk(top+1)=l+nx
if(lhs1.eq.3) goto 320
c
c sauvegarde de tv (tableau interne a l' optimiseur - pour hot start
if (lhs1.eq.4) then
istv=0
if(ialg.eq.1) istv=1
if (istv.eq.0) then
c pas de hot start pour cet algorithme
call error(137)
return
endif
top2=top2 + 1
lstk(top2)=lstk(top+1)
il=iadr(lstk(top2))
istk(il)=1
istk(il+1)=1
istk(il+2)=ntv + nitv
istk(il+3)=0
l=sadr(il+4)
c recopie eventuelle de dzs et izs pour ne pas les ecraser
if (indtv.eq.0.and.(ireci-1)*(irecd-1).eq.0) then
err=l+ntv+nitv+ireci*nizs+irecd*ndzs-lstk(bot)
if (err.gt.0) then
call error(17)
return
endif
c if (l+ntv+nitv+1.ge.sadr(lizs)) then
ldzs2=lstk(bot)-ndzs
lizs2=iadr(ldzs2)-nizs
if (sadr(lizs2).le.ltv+ntv+nitv+1) then
call error(17)
return
endif
call unsfdcopy(ndzs,stk(ldzs),-1,stk(ldzs2),-1)
do 315 i=nizs-1,0,-1
istk(lizs2+i)=istk(lizs+i)
315 continue
ldzs=ldzs2
lizs=lizs2
endif
endif
call unsfdcopy(ntv,stk(ltv),1,stk(l),1)
if (nitv.gt.0) then
do 316 i=nitv-1,0,-1
istk(litv+2*i)=istk(litv+i)
316 continue
litv1=l+ntv
do 317 i=0,nitv-1
stk(litv1+i)=real(istk(litv+i))
317 continue
endif
lstk(top+1)=l + ntv + nitv
c
c sauvegarde de izs et dzs
320 if (lhs.eq.lhs1) go to 350
if (ireci.eq.1) then
top2=top2 + 1
lstk(top2)=lstk(top+1)
il=iadr(lstk(top2))
istk(il)=1
istk(il+1)=1
istk(il+2)=nizs
istk(il+3)=0
l=sadr(il+4)
do 325 i=0,nizs-1
stk(l+i)=real(istk(lizs+i))
325 continue
lstk(top+1)=l+nizs
endif
if (irecd.eq.1) then
top2=top2 + 1
lstk(top2)=lstk(top+1)
il=iadr(lstk(top2))
istk(il)=1
istk(il+1)=1
istk(il+2)=ndzs
istk(il+3)=0
l=sadr(il+4)
call unsfdcopy(ndzs,stk(ldzs) ,1,stk(l),1)
lstk(top+1)=l+ndzs
endif
go to 350
c
c commentaires finaux
350 continue
if (iarret.eq.1) return
if (indopt.gt.0) go to 360
if(indopt.eq.0) then
call error(131)
return
elseif(indopt.eq.-7) then
call error(134)
return
elseif (indopt.eq.-14) then
call error(133)
return
elseif(indopt.le.-10) then
call error(132)
return
endif
360 continue
if(imp.ne.0) then
if(indopt.eq.1) then
write(buf(1:15),'(1pd15.7)') epsg
call msgs(12,0)
elseif(indopt.eq.2) then
write(buf(1:15),'(1pd15.7)') epsf
call msgs(13,0)
elseif(indopt.eq.3) then
call msgs(14,0)
elseif(indopt.eq.4) then
call msgs(15,0)
elseif(indopt.eq.5) then
call msgs(16,0)
elseif(indopt.eq.6) then
call msgs(17,0)
elseif(indopt.eq.7) then
call msgs(18,0)
elseif(indopt.eq.8) then
call msgs(19,0)
elseif(indopt.eq.9) then
call msgs(20,0)
elseif(indopt.ge.10) then
call msgs(21,0)
endif
endif
return
c
c quapro
c
400 continue
lw = lstk(top+1)
l0 = lstk(top+1-rhs)
if (rhs .ne. 10 .and. rhs .ne. 9) then
call error(39)
return
endif
if (lhs .gt. 3 .or. lhs .lt. 2) then
call error(41)
return
endif
c checking variable x0 (number 1)
c
il1 = iadr(lstk(top-rhs+1))
if (istk(il1) .ne. 1) then
err = 1
call error(53)
return
endif
if (istk(il1+2) .ne. 1) then
err = 1
call error(89)
return
endif
n1 = istk(il1+1)
l1 = sadr(il1+4)
c checking variable h (number 2)
c
il2 = iadr(lstk(top-rhs+2))
if (istk(il2) .ne. 1) then
err = 2
call error(53)
return
endif
if (istk(il2+1) .ne. istk(il2+2)) then
err = 2
call error(20)
return
endif
n2 = istk(il2+1)
m2 = istk(il2+2)
l2 = sadr(il2+4)
c checking variable p (number 3)
c
il3 = iadr(lstk(top-rhs+3))
if (istk(il3) .ne. 1) then
err = 3
call error(53)
return
endif
if (istk(il3+2) .ne. 1) then
err = 3
call error(89)
return
endif
n3 = istk(il3+1)
l3 = sadr(il3+4)
c checking variable c (number 4)
c
il4 = iadr(lstk(top-rhs+4))
if (istk(il4) .ne. 1) then
err = 4
call error(53)
return
endif
n4 = istk(il4+1)
m4 = istk(il4+2)
l4 = sadr(il4+4)
c checking variable d (number 5)
c
il5 = iadr(lstk(top-rhs+5))
if (istk(il5) .ne. 1) then
err = 5
call error(53)
return
endif
if (istk(il5+2) .ne. 1.and.istk(il5+2) .ne. 0) then
err = 5
call error(89)
return
endif
m5 = istk(il5+1)
l5 = sadr(il5+4)
c checking variable ci (number 6)
c
il6 = iadr(lstk(top-rhs+6))
if (istk(il6) .ne. 1) then
err = 6
call error(53)
return
endif
if (istk(il6+2) .gt. 1) then
err = 6
call error(89)
return
endif
n6 = istk(il6+1)
l6 = sadr(il6+4)
c checking variable cs (number 7)
c
il7 = iadr(lstk(top-rhs+7))
if (istk(il7) .ne. 1) then
err = 7
call error(53)
return
endif
if (istk(il7+2) .gt. 1) then
err = 7
call error(89)
return
endif
n7 = istk(il7+1)
l7 = sadr(il7+4)
c checking variable mi (number 8)
c
il8 = iadr(lstk(top-rhs+8))
if (istk(il8) .ne. 1) then
err = 8
call error(53)
return
endif
if (istk(il8+1)*istk(il8+2) .ne. 1) then
err = 8
call error(89)
return
endif
mi = stk(sadr(il8+4))
c checking variable modo (number 9)
c
il9 = iadr(lstk(top-rhs+9))
if (istk(il9) .ne. 1) then
err = 9
call error(53)
return
endif
if (istk(il9+1)*istk(il9+2) .ne. 1) then
err = 9
call error(89)
return
endif
modo = stk(sadr(il9+4))
if(modo.ne.1.and.modo.ne.2.and.modo.ne.3) then
err=9
call error(36)
return
endif
if (rhs .eq. 10) then
c checking variable imp (number 10)
c
il10 = iadr(lstk(top-rhs+10))
if (istk(il10) .ne. 1) then
err = 10
call error(53)
return
endif
if (istk(il10+1)*istk(il10+2) .ne. 1) then
err = 10
call error(89)
return
endif
imp = stk(sadr(il10+4))
else
imp = 0
endif
c
c cross variable size checking
c
if (n3 .ne. n2) then
call error(42)
return
endif
if (n1 .ne. n3) then
if(modo.eq.3) then
call error(42)
return
else
n1=n3
endif
endif
if (n4.ne.0.and.n3 .ne. n4) then
call error(42)
return
endif
if (n6 .eq. 0) then
ira=0
elseif (n1 .ne. n6) then
call error(42)
return
else
ira=1
endif
if(n7 .eq. 0) then
elseif (n1 .ne. n7) then
call error(42)
return
else
ira=ira+2
endif
if (m4 .ne. m5) then
call error(42)
return
endif
md=m4-mi
c
c x
c lw9=lw
c lw=lw+n1
lw9=l1
c f
lw10=lw
lw=lw+1
c w
lw11=lw
lw=lw+4*n1*(n1+1)+md+max(md,2*n1-2+n1*(n1+1)/2)
c iv
lw12=lw
lw=lw+3*n1+2*md+mi+1
c lagr
lw13=lw
if(ira.gt.0) then
nl=n1+m4
else
nl=m4
endif
lw=lw+nl
c
err=lw-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
C SUBROUTINE PLCBAS(H,P,C,D,CI,CS,IRA,MI,MD,X,F,W,IV,DLAGR,IMP,IO,N,
C & MODO,INFO,ITER)
C
iter=0
call plcbas(stk(l2),stk(l3),stk(l4),stk(l5),stk(l6),stk(l7),
& ira,mi,md,stk(lw9),stk(lw10),stk(lw11),stk(lw12),
& stk(lw13),imp,wte,n1,modo,info,iter)
if (info .ne. 0) then
if (info .eq. 1) then
call msgs(104,0)
elseif (info .eq. -1) then
call error(123)
return
elseif (info .eq. -2) then
call msgs(11,0)
elseif (info .eq. -3) then
call error(125)
return
elseif (info .eq. -4) then
call error(42)
return
elseif (info .eq. -11) then
call error(126)
return
elseif (info .eq. -12) then
call error(127)
return
elseif (info .eq. -13) then
call error(128)
return
elseif (info .eq. -14) then
call error(129)
return
endif
endif
c
top=top-rhs
lw0=lw
mv=lw0-l0
c
c Variable de sortie: x
c
top=top+1
ilw=iadr(lw)
err=lw+4+n1-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
istk(ilw)=1
istk(ilw+1)=n1
istk(ilw+2)=1
istk(ilw+3)=0
lw=sadr(ilw+4)
call unsfdcopy(n1,stk(lw9),1,stk(lw),1)
lw=lw+n1
lstk(top+1)=lw-mv
c
c Variable de sortie: f
c
top=top+1
ilw=iadr(lw)
err=lw+5-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
lw=sadr(ilw+4)
call unsfdcopy(1,stk(lw10),1,stk(lw),1)
lw=lw+1
lstk(top+1)=lw-mv
c
if ( lhs .ge. 3) then
c Variable de sortie: lagr
c
top=top+1
ilw=iadr(lw)
err=lw+4+m4-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
istk(ilw)=1
istk(ilw+1)=nl
istk(ilw+2)=1
istk(ilw+3)=0
lw=sadr(ilw+4)
call unsfdcopy(nl,stk(lw13),1,stk(lw),1)
lw=lw+nl
lstk(top+1)=lw-mv
endif
c Remise en place de la pile
call unsfdcopy(lw-lw0,stk(lw0),1,stk(l0),1)
return
c
500 continue
c
c SCILAB function : semidef
c --------------------------
lw = lstk(top+1)
l0 = lstk(top+1-rhs)
if (rhs .ne. 6) then
call error(39)
return
endif
if (lhs .gt. 4) then
call error(41)
return
endif
c checking variable x (number 1)
c
il1 = iadr(lstk(top-rhs+1))
if (istk(il1) .ne. 1) then
err = 1
call error(53)
return
endif
m = istk(il1+1)*istk(il1+2)
l1 = sadr(il1+4)
c checking variable Z (number 2)
c
il2 = iadr(lstk(top-rhs+2))
if (istk(il2) .ne. 1) then
err = 2
call error(53)
return
endif
m2 = istk(il2+1)*istk(il2+2)
l2 = sadr(il2+4)
c checking variable F (number 3)
c
il3 = iadr(lstk(top-rhs+3))
if (istk(il3) .ne. 1) then
err = 3
call error(53)
return
endif
m3 = istk(il3+1)*istk(il3+2)
l3 = sadr(il3+4)
c checking variable ind (number 4)
c
il4 = iadr(lstk(top-rhs+4))
if (istk(il4) .ne. 1) then
err = 4
call error(53)
return
endif
m4 = istk(il4+1)*istk(il4+2)
l4 = sadr(il4+4)
c checking variable c (number 5)
c
il5 = iadr(lstk(top-rhs+5))
if (istk(il5) .ne. 1) then
err = 5
call error(53)
return
endif
m5 = istk(il5+1)*istk(il5+2)
l5 = sadr(il5+4)
c checking variable pars (number 6)
c
il6 = iadr(lstk(top-rhs+6))
if (istk(il6) .ne. 1) then
err = 6
call error(53)
return
endif
m6 = istk(il6+1)*istk(il6+2)
if (m6 .ne. 5) then
err = 6
call error(89)
return
endif
l6 = sadr(il6+4)
nu=stk(l6)
abstol=stk(l6+1)
reltol=stk(l6+2)
tv=stk(l6+3)
iters=stk(l6+4)
c
c cross variable size checking
c
if (m .ne. m5) then
call error(42)
return
endif
call entier(m4,stk(l4),istk(iadr(l4)))
nn8=2
lw8=lw
lw=lw+nn8
n=0
sz=0
upsz=0
maxn=0
lind=iadr(l4)
do 10 i=0,m4-1
indi=istk(lind+i)
n=n+indi
sz=sz+indi*(indi+1)/2
upsz=upsz+indi*indi
maxn=max(maxn,indi)
10 continue
c optimal block size for dgels ????
nb=32
lwork=(m+2)*sz+upsz+2*n+max(m+sz*nb,3*maxn+maxn*(maxn+1),3*m)
nn14=lwork
lw14=lw
lw=lw+nn14
ilw15=iadr(lw)
lw=sadr(ilw15+m)
err=lw-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
c call sp(m, L, F, ind, c, x, Z,
call spf(m,m4,stk(l3),istk(iadr(l4)),stk(l5),stk(l1),stk(l2),
c ul, nu,abstol,reltol,tv,iters,work, lwork,info)
& stk(lw8),nu,abstol,reltol,tv,iters,stk(lw14),lwork,
& istk(ilw15),info)
if(info.lt.0) then
call error(230)
return
endif
c
top=top-rhs
lw0=lw
mv=lw0-l0
c
if(lhs .ge. 1) then
c
c output variable: x
c
top=top+1
endif
if(lhs .ge. 2) then
c
c output variable: Z
c
top=top+1
endif
if(lhs .ge. 3) then
c
c output variable: ul
c
top=top+1
lw=lstk(top)
err=lw+4+nn8-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
ilw=iadr(lw)
istk(ilw)=1
istk(ilw+1)=1
istk(ilw+2)=nn8
istk(ilw+3)=0
lw=sadr(ilw+4)
call unsfdcopy(nn8,stk(lw8),1,stk(lw),1)
lw=lw+nn8
lstk(top+1)=lw
endif
c
if(lhs .ge. 4) then
c
c output variable: [info iters]
c
top=top+1
lw=lstk(top)
err=lw+4+2-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
ilw=iadr(lw)
istk(ilw)=1
istk(ilw+1)=1
istk(ilw+2)=2
istk(ilw+3)=0
lw=sadr(ilw+4)
stk(lw)=info
stk(lw+1)=iters
lw=lw+2
lstk(top+1)=lw
endif
return
c
c fsolve
c
600 call scisolv("fsolve")
return
c
c lsqrsolve
c
700 call intlsqrsolve("lsqrsolve")
return
c
c qld
c
800 call intqld("qld")
return
end
subroutine scisolv(fname)
c ----------------------------
c Scilab fsolve function
c ---------------------------
character*(*) fname
c implicit undefined (a-z)
include '../stack.h'
integer topk,kres,kjac,kx,m1,n1,lr1,lr,lw,gettype
logical checklhs,checkrhs,getrmat,getexternal,cremat,jac
logical type,getscalar
double precision tol
external bsolv,bjsolv,setfsolvf,setfsolvj
character*(nlgh+1) namef,namej
common/csolve/namef,namej
integer iadr, sadr
iadr(l)=l+l-1
sadr(l)=(l/2)+1
topk = top
if (.not.checkrhs(fname,2,4)) return
if (.not.checklhs(fname,1,3)) return
c checking variable x (number 1)
c
kx=top-rhs+1
if(.not.getrmat(fname,topk,kx,m1,n1,lr1))return
mn1=m1*n1
c checking variable fcn (number 2)
c
kres=top-rhs+2
if (.not.getexternal(fname,topk,kres,namef,type,
$ setfsolvf)) return
c
c checking variable jac (number 3)
c
jac=.false.
kjac=0
iskip=0
if (rhs.ge.3) then
itype=gettype(top-rhs+3)
if (itype.eq.13.or.itype.eq.10.or.itype.eq.11.or.
$ itype.eq.15) then
jac=.true.
kjac=top-rhs+3
if (.not.getexternal(fname,topk,kjac,namej,
$ type,setfsolvj)) return
else
iskip=1
endif
endif
c checking variable tol (number 4)
c
if(rhs.eq.4-iskip) then
if(.not.getscalar(fname,topk,top,lr4))return
tol=stk(lr4)
else
tol=1.d-10
endif
c
c An Ugly feature to keep track of externals
C -------------------------------------------
top=top+1
lw = lstk(top)
ilext=iadr(lw)
istk(ilext)=2
istk(ilext+1)=ilext+4
istk(ilext+2)=ilext+7
istk(ilext+3)=ilext+10
istk(ilext+4)=kres
istk(ilext+5)=mn1
istk(ilext+6)=kx
istk(ilext+7)=kjac
istk(ilext+8)=mn1
istk(ilext+9)=kx
c Working areas
C -------------------------------------------
lw=sadr(ilext+10)
lw4=lw
lw=lw4+mn1
lw6=lw
lw=lw+1
if(jac) then
nn7=(mn1*(mn1+13))/2+mn1*mn1
else
nn7=(mn1*(3*mn1+13))/2
endif
lw7=lw
lw=lw+nn7
err=lw-lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
lstk(top+1)=lw
if(jac) then
call hybrj1(bjsolv,mn1,stk(lr1),stk(lw4),stk(lw7),
$ mn1,tol,info,stk(lw7+mn1*mn1),nn7)
else
call hybrd1(bsolv,mn1,stk(lr1),stk(lw4),tol,info,
$ stk(lw7),nn7)
endif
if(err.gt.0) return
c
top=top-1
if(lhs.eq.1) then
top=top-rhs+1
goto 999
endif
top=top-rhs+2
if (.not.cremat(fname,top,0,m1,n1,lr,lc)) return
call unsfdcopy(mn1,stk(lw4),1,stk(lr),1)
if(lhs.eq.3) then
c info = 0 improper input parameters.
c info = 1 algorithm estimates that the relative error
c between x and the solution is at most tol.
c info = 2 number of calls to fcn with iflag = 1 has
c reached 100*(n+1).
c info = 3 tol is too small. no further improvement in
c the approximate solution x is possible.
c info = 4 iteration is not making good progress.
top=top+1
if (.not.cremat(fname,top,0,1,1,lr,lc)) return
stk(lr)=info
endif
goto 999
c
999 continue
return
end
|
