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|
subroutine matdsr
C
C ====================================================================
C
C evaluate functions involving eigenvalues and eigenvectors
C
C ====================================================================
C
c Copyright INRIA
include '../stack.h'
C
double precision sr,t,rmax,tt(1,1)
double precision eps
logical herm,vect,fail,chain,macro
integer fschur,bschur
external fschur, bschur
integer top2,tope,topf
character*(nlgh+1) namef
common /cschur/ namef
integer iero
common /ierinv/ iero
C
sadr(l) = (l/2) + 1
iadr(l) = l + l - 1
C
if (ddt .eq. 4) then
write (buf(1:4),'(i4)') fin
call basout(io,wte,' matdsr '//buf(1:4))
endif
C
C functions/fin
C 1 2 3 4 5 6 7 8
C 0 hess schur spec bdiag balanc
if (top+lhs-rhs .ge. bot) then
call error(18)
return
endif
if (rhs .le. 0) then
call error(39)
return
endif
C
lw = lstk(top+1)
eps = stk(leps)
tope = top - rhs + 1
if (istk(iadr(lstk(tope))) .ne. 1) then
if(fin.eq.1) then
call putfunnam('hess',top-rhs+1)
elseif(fin.eq.2) then
call putfunnam('schur',top-rhs+1)
elseif(fin.eq.3) then
call putfunnam('spec',top-rhs+1)
elseif(fin.eq.4) then
call putfunnam('bdiag',top-rhs+1)
elseif(fin.eq.6) then
call putfunnam('balanc',top-rhs+1)
else
err = 1
call error(53)
return
endif
fun=-1
return
endif
C
if (fin .eq. 6) goto 310
C
ireg = 0
vect = (lhs.ge.2.and.fin.ne.3)
if (rhs .eq. 1) goto 5
if (rhs.lt.1.or.rhs.gt.2.or.fin.ne.2.and.fin.ne.4) then
call error(39)
return
endif
il = iadr(lstk(top))
mn2 = istk(il+1) * istk(il+2)
if (istk(il).eq.10 .or. istk(il).eq.11 .or. istk(il).eq.13) goto 1
if (istk(il) .ne. 1) then
err = rhs
call error(44)
return
endif
it2 = istk(il+3)
l2 = sadr(il+4)
top = top - 1
goto 5
1 continue
C schur ordonne
ireg = 1
if (lhs.ne.2 .and. lhs.ne.3) then
call error(41)
return
endif
chain = .false.
macro = .false.
top2 = top
topf = top - rhs + lhs
C
if (istk(il) .gt. 10) then
macro = .true.
else
chain = .true.
nc = istk(il+5) - 1
namef = ' '
call cvstr(nc,istk(il+5+mn2),namef,1)
namef(nc+1:nc+1)=char(0)
call setfschur(namef,irep)
if ( irep.eq.1) then
buf = namef
call error(50)
return
endif
top = top - 1
endif
5 continue
C acquisition des parametre de la matrice
il = iadr(lstk(tope))
m = istk(il+1)
n = istk(il+2)
l = sadr(il+4)
mn = m * n
if (mn .ne. 0) goto 6
C matrice de taille nulle
if (fin.ne.3 .or. lhs.gt.1) then
err = 1
call error(89)
return
endif
top = tope
return
C
C test si la matrice est carree
C
6 ld = l
if (m .ne. n) then
err = 1
call error(20)
return
endif
nn = n * n
C
if (fin .eq. 4) goto 200
C
C ... decomposition spectrale de la matrice
C
C la matrice est-elle symetrique?
C
herm = .false.
if (ireg .ne. 0) goto 21
do 20 j = 1,n
do 19 i = 1,j
ls = l + (i-1) + (j-1)*n
ll = l + (i-1)*n + (j-1)
sr = abs(stk(ll)-stk(ls))
if (stk(ll)+sr .gt. stk(ll)) goto 21
19 continue
20 continue
herm = .true.
21 continue
if (herm) goto 100
C
if (fin .gt. 3) goto 900
C
C equilibrage
C
low = 1
igh = n
if (fin .ne. 3) goto 22
err = lw + n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
call balanc(n,n,stk(l),low,igh,stk(lw))
C
C calcul de la forme de hessenberg
C
22 lv = l
if (vect) l = lw
if (lhs .eq. 3) then
C on cree la variable d
top = top + 1
ild = iadr(lstk(top))
istk(ild) = 1
istk(ild+1) = 1
istk(ild+2) = 1
istk(ild+3) = 0
ld = sadr(ild+4)
lstk(top+1) = ld + 1
endif
if (lhs .gt. 1) then
C on cree la variable s
top = top + 1
il = iadr(lstk(top))
istk(il) = 1
istk(il+1) = n
istk(il+2) = n
istk(il+3) = 0
l = sadr(il+4)
lstk(top+1) = l + nn
endif
C
lw = l + nn
err = lw + n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
if (vect) call dcopy(nn,stk(lv),1,stk(l),1)
call orthes(n,n,low,igh,stk(l),stk(lw))
if (vect) call ortran(n,n,low,igh,stk(l),stk(lw),stk(lv))
if (fin .ne. 1) goto 40
C fin hess
if (n .ge. 3) then
do 30 j = 3,n
call dset(j-2,0.0d+0,stk(l+j-1),n)
30 continue
endif
goto 999
C
C calcul de la forme de schur
C
40 job = 10
if (vect) job = 11
lsr = lw
lsi = lw
if (fin .eq. 3) then
job = job + 10
lsi = lsr + n
endif
err = lsi + n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
call hqror2(n,n,low,igh,stk(l),stk(lsr),stk(lsi),stk(lv),ierr,job)
C
if (ierr .gt. 1) call msgs(2,ierr)
C
if (ireg .eq. 0) goto 42
C
C schur ordonne
C
if (chain) then
call inva(n,n,stk(l),stk(lv),fschur,eps,ndim,fail,istk(iadr(lw))
& )
elseif (macro) then
C on ferme le tableau de travail...
lwn = lw + n
err = lwn - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
lstk(top+1) = lwn
C creation d'une variable bidon de type scalaire pour stockage de la
C valeur retournee par l'external
top = top + 1
il9 = iadr(lstk(top))
istk(il9) = 1
istk(il9+1) = 3
istk(il9+2) = 1
istk(il9+3) = 0
lvar = sadr(il9+4)
kvtop = top
lstk(top+1) = lvar + 3
C creation d'une structure pour l'external
top = top + 1
ilw = iadr(lstk(top))
istk(ilw) = 1
istk(ilw+1) = ilw + 2
istk(ilw+2) = top2
istk(ilw+3) = kvtop
lstk(top+1) = lstk(top) + 3
call inva(n,n,stk(l),stk(lv),bschur,eps,ndim,fail,istk(iadr(lw))
& )
if (iero .ne. 0) then
err = 1
return
endif
top = top - 3
endif
if (fail) then
call msgs(2,0)
call error(24)
return
endif
if (n .ge. 3) then
do 41 i = 3,n
call dset(i-2,0.0d+0,stk(l-1+i),n)
41 continue
endif
if (lhs .eq. 2) then
il = iadr(lstk(top))
istk(il) = 1
istk(il+1) = 1
istk(il+2) = 1
istk(il+3) = 0
l = sadr(il+4)
stk(l) = dble(ndim)
lstk(top+1) = l + 1
elseif (lhs .eq. 3) then
stk(ld) = dble(ndim)
endif
goto 999
C
42 continue
if (fin .eq. 3) goto 44
C fin schur
if (lhs .gt. 2) then
call error(41)
return
endif
if (n .ge. 3) then
do 43 i = 3,n
call dset(i-2,0.0d+0,stk(l-1+i),n)
43 continue
endif
goto 999
C
44 continue
C fin spectre et root
if (lhs .ne. 1) then
call error(41)
return
endif
call dcopy(2*n,stk(lsr),1,stk(l),1)
istk(il+1) = n
istk(il+2) = 1
istk(il+3) = 1
lstk(top+1) = l + 2*n
goto 999
C
C fin cas general
C cas d'une matrice hermitienne
100 continue
C calcul de la forme de hessenberg(tridagonale)
lv = l
l1 = l
if (vect) l = lw
if (lhs .eq. 1) goto 101
C on cree une variable
top = top + 1
il = iadr(lstk(top))
istk(il) = 1
istk(il+1) = n
istk(il+2) = n
istk(il+3) = 0
l = sadr(il+4)
lstk(top+1) = l + nn
C
101 if(vect) then
job=1
else
lv=l1
job=0
endif
ld = l + nn
le = ld + n
err = le + n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
call tred2(n,n,stk(l1),stk(ld),stk(le),stk(lv))
if (fin .ne. 1) goto 120
C fin hess
call dset(nn,0.0d+0,stk(l),1)
call dcopy(n,stk(ld),1,stk(l),n+1)
if (n .le. 1) goto 999
call dcopy(n-1,stk(le+1),1,stk(l+1),n+1)
call dcopy(n-1,stk(le+1),1,stk(l+n),n+1)
goto 999
C
C calcul de la forme diagonale
120 continue
call tql2(n,n,stk(ld),stk(le),stk(lv),job,ierr)
C
if (ierr .gt. 1) call msgs(2,ierr)
mn = n
C
if (fin .eq. 3) goto 121
C
C fin schur , jordan et bdiag
call dset(nn,0.0d+0,stk(l),1)
call dcopy(n,stk(ld),1,stk(l),n+1)
goto 999
C
121 continue
C fin spectre
call dcopy(n,stk(ld),1,stk(l),1)
istk(il+1) = n
istk(il+2) = 1
lstk(top+1) = l + n
goto 999
C
C bloc diagonalisation
C
200 continue
if (rhs .gt. 2) then
call error(39)
return
endif
if (rhs .eq. 1) goto 201
C rmax est en argument
rmax = stk(l2)
if (it2 .eq. 1) then
err = 1
call error(52)
return
endif
goto 202
C calcul de rmax par defaut:norme l1
201 rmax = 1.0d+0
lj = l - 1
do 203 j = 1,n
t = 0.0d+0
do 204 i = 1,n
t = t + abs(stk(lj+i))
204 continue
if (t .gt. rmax) rmax = t
lj = lj + n
203 continue
202 continue
C preparation de la pile
top = top + 1
C
C changement de base
ilx = iadr(lstk(top))
istk(ilx) = 1
istk(ilx+1) = n
istk(ilx+2) = n
istk(ilx+3) = 0
lx = sadr(ilx+4)
lstk(top+1) = lx + nn
C structure des blocs
top = top + 1
ilbs = iadr(lstk(top))
lbs = sadr(ilbs+4)
C er,ei:valeurs propres (tbl de travail)
ler = lbs + n
lei = ler + n
ilb = iadr(lei+n)
lw = sadr(ilb+n)
err = lw + n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
call bdiag(n,n,stk(l),0.d0,rmax,stk(ler),stk(lei),istk(ilb),
& stk(lx),tt,stk(lw),0,fail)
C
if (fail) then
call msgs(2,0)
call error(24)
return
endif
C
C sorties
C structure des blocs
nbloc = 0
ln = lbs - 1
do 222 k = 1,n
if (istk(ilb+k-1) .lt. 0) goto 222
nbloc = nbloc + 1
ln = ln + 1
stk(ln) = dble(istk(ilb+k-1))
222 continue
lstk(top+1) = sadr(ilbs+4) + nbloc
istk(ilbs) = 1
istk(ilbs+1) = nbloc
istk(ilbs+2) = 1
istk(ilbs+3) = 0
if (lhs .eq. 2) top = top - 1
if (lhs .eq. 1) top = top - 2
goto 999
C
C equilibrage (balanc)
C
310 continue
if (rhs .eq. 2) goto 320
if (lhs .ne. 2) then
call error(41)
return
endif
if (rhs .ne. 1) then
call error(42)
return
endif
il = iadr(lstk(top))
m = istk(il+1)
n = istk(il+2)
l = sadr(il+4)
C test si la matrice est carree
if (m .ne. n) then
err = 1
call error(20)
return
endif
nn = n * n
if (nn .eq. 0) then
err = 1
call error(89)
return
endif
C equilibrage
low = 1
igh = n
ilv = iadr(lw)
lv = sadr(ilv+4)
lw = lv + nn
err = lw + n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
call balanc(n,n,stk(l),low,igh,stk(lw))
call dset(nn,0.0d+0,stk(lv),1)
call dset(n,1.0d+0,stk(lv),n+1)
call balbak(n,n,low,igh,stk(lw),n,stk(lv))
istk(ilv) = 1
istk(ilv+1) = n
istk(ilv+2) = n
istk(ilv+3) = 0
top = top + 1
lstk(top+1) = lv + nn
goto 999
C
320 continue
C faisceau
if (lhs .ne. 4) then
call error(41)
return
endif
if (rhs .ne. 2) then
call error(42)
return
endif
il = iadr(lstk(top))
m = istk(il+1)
n = istk(il+2)
l = sadr(il+4)
il1 = iadr(lstk(top-1))
m1 = istk(il1+1)
n1 = istk(il1+2)
l1 = sadr(il1+4)
C test if square
if (m .ne. n) then
err = 2
call error(20)
return
endif
if (m1 .ne. n1) then
err = 1
call error(20)
return
endif
C test of dimensions
if (n.ne.n1 .or. m.ne.m1) then
buf = 'balanc:-->parameters with uncompatible dimensions!'
call error(9999)
endif
nn = n * n
if (nn*n1*m1 .eq. 0) then
call error(89)
return
endif
C equilibrage
low = 1
igh = n
ilv1 = iadr(l+nn)
lv1 = sadr(ilv1+4)
ilv2 = iadr(lv1+nn)
lv2 = sadr(ilv2+4)
lcs = lv2 + nn
lcp = lcs + n
lw = lcp + n
err = lw + 6*n - lstk(bot)
if (err .gt. 0) then
call error(17)
return
endif
c l1-->E
c l -->A
c SUBROUTINE DGGBAL('B', N, E, LDE, A, LDA, LOW, IGH, LSCALE,
c$ RSCALE, WORK, INFO )
call dggbal('B',n,stk(l1),n,stk(l),n,low,igh,stk(lcs),
& stk(lcp),stk(lw),info)
c SUBROUTINE DGGBAK('B','R', N, LOW, IGH, LSCALE, RSCALE, N, V,
c$ LDV, INFO )
call dset(nn,0.0d+0,stk(lv2),1)
call dset(n,1.0d+0,stk(lv2),n+1)
call dggbak('B','R',n,low,igh,stk(lcs),stk(lcp),n,stk(lv2),
& n,info)
c lv2--->Y
call dset(nn,0.0d+0,stk(lv1),1)
call dset(n,1.0d+0,stk(lv1),n+1)
call dggbak('B','L',n,low,igh,stk(lcs),stk(lcp),n,stk(lv1),
& n,info)
c lv1--->X
istk(ilv1) = 1
istk(ilv1+1) = n
istk(ilv1+2) = n
istk(ilv1+3) = 0
top = top + 1
lstk(top+1) = lv1 + nn
istk(ilv2) = 1
istk(ilv2+1) = n
istk(ilv2+2) = n
istk(ilv2+3) = 0
top = top + 1
lstk(top+1) = lv2 + nn
goto 999
999 return
900 call error(43)
return
end
|
