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c Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
c Copyright (C) INRIA
c
c This file must be used under the terms of the CeCILL.
c This source file is licensed as described in the file COPYING, which
c you should have received as part of this distribution. The terms
c are also available at
c http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
subroutine onface(nq,tq,tg,ng,nprox,ierr,w)
C!but
C il est question ici de calculer (ou d estimer)
C le polynome (ou point) qui se situe a l'intersection
C de la recherche et de la face-frontiere du domaine.
C!liste d'appel
C subroutine onface(nq,tq,nprox)
C
C double precision tq(0:nq),w(*)
C integer nq,nprox,ierr
C
C Entree :
C - nq. est le degre du polynome q(z) avant toute
C modification.
C - tq. est le tableau de ses coefficients
C - nprox. est l indice de la face par laquelle on estime
C que la recherche a franchi la frontiere du domaine.
C
C Sortie :
C -nq. est alors le degre des polynomes de la face
C traversee et donc du polynome intersection. Sa valeur
C est inferieur de 1 ou 2 a sa valeur precedente.
C - tq. contient en sortie les coefficients du polynome
C intersection dans le domaine de la face traversee.
C
C Tableau de travail
C - w : 12*nq+ng+1
C!
implicit double precision (a-h,o-y)
dimension tq(0:nq), w(*),tg(ng+1)
C
dimension tps(0:1), taux2(0:2), tabeta(0:2), xx(1)
common /sortie/ io,info,ll
C
C decoupage du tableau de travail
lqaux = 1
lqdot = lqaux
lrq0 = lqdot + nq + 1
lrq1 = lrq0 + nq
lrgd0 = lrq1 + nq
lrgd1 = lrgd0 + nq
lgp = lrgd1 + nq
lgp1 = lgp + 2*nq - 2
lbeta = lgp1
lw = lbeta + 2*nq - 2
lfree = lw+3*nq+ng+1
C
nqvra = nq
C
tps(1) = 1.0d+0
tps(0) = 1.0d+0
C
if (nprox .ne. 0) then
tps(0) = real(nprox)
C calcul du reste de la division de q par tps
call horner(tq,nq,-tps(0),0.0d+0,srq,xx)
C calcul du reste de la division de qdot par 1+z
call feq1(nq,t,tq,tg,ng,w(lqdot),w(lw))
call horner(w(lqdot),nq,-tps(0),0.0d+0,srgd,xx)
C
call daxpy(nq,(-srq)/srgd,w(lqdot),1,tq,1)
C
call dpodiv(tq,tps,nq,1)
if (info .gt. 0) call outl2(70,1,1,xx,xx,x,x)
if (info .gt. 1) call outl2(71,1,1,tq,xx,x,x)
call dcopy(nq,tq(1),1,tq,1)
nq = nq - 1
C
elseif (nprox .eq. 0) then
C
taux2(2) = 1.0d+0
taux2(1) = 0.0d+0
taux2(0) = 1.0d+0
C
call dcopy(nq+1,tq,1,w(lqaux),1)
do 200 ndiv = 0,nq-2
call dpodiv(w(lqaux),taux2,nq-ndiv,2)
w(lrq1+ndiv) = w(lqaux+1)
w(lrq0+ndiv) = w(lqaux)
C
do 180 j = 2,nq-ndiv
w(lqaux+j-1) = w(lqaux+j)
180 continue
w(lqaux) = 0.0d+0
200 continue
w(lrq1-1+nq) = w(lqaux+1)
w(lrq0-1+nq) = w(lqaux)
C
call feq1(nq,t,tq,tg,ng,w(lqaux),w(lw))
nqdot = nq - 1
C
do 240 ndiv = 0,nqdot-2
call dpodiv(w(lqaux),taux2,nqdot-ndiv,2)
w(lrgd1+ndiv) = w(lqaux+1)
w(lrgd0+ndiv) = w(lqaux)
C
do 220 j = 2,nqdot-ndiv
w(lqaux+j-1) = w(lqaux+j)
220 continue
w(lqaux) = 0.0d+0
240 continue
w(lrgd1-1+nqdot) = w(lqaux+1)
w(lrgd0-1+nqdot) = w(lqaux)
C
C - construction du polynome gp(z) dont on cherchera une racine
C comprise entre -2 et +2 -----------------------------
C
call dset(2*nq-2,0.0d+0,w(lgp),1)
call dset(2*nq-2,0.0d+0,w(lgp1),1)
C
do 260 j = 1,nq
do 258 i = 1,nqdot
k = i + j - 2
w(lgp+k) = w(lgp+k) + ((-1)**k)*w(lrq0-1+j)*w(lrgd1-1+i)
w(lgp1+k) = w(lgp1+k) + ((-1)**k)*w(lrq1-1+j)*w(lrgd0-1+i)
258 continue
260 continue
C
call ddif(2*nq-2,w(lgp1),1,w(lgp),1)
ngp = 2*nq - 3
call rootgp(ngp,w(lgp),nbeta,w(lbeta),ierr,w(lw))
if (ierr .ne. 0) return
C
do 299 k = 1,nbeta
C
C - calcul de t (coeff multiplicateur) -
C
auxt1 = 0.0d+0
do 280 i = 1,nq
auxt1 = auxt1 + w(lrq1-1+i)*((-w(lbeta-1+k))**(i-1))
280 continue
C
auxt2 = 0.0d+0
do 290 i = 1,nqdot
auxt2 = auxt2 + w(lrgd1-1+i)*((-w(lbeta-1+k))**(i-1))
290 continue
C
tmult = (-auxt1) / auxt2
C
if (k .eq. 1) then
t0 = tmult
beta0 = w(lbeta)
elseif (abs(tmult) .lt. abs(t0)) then
t0 = tmult
beta0 = w(lbeta-1+k)
endif
C
299 continue
C
call feq1(nq,t,tq,tg,ng,w(lqdot),w(lw))
call daxpy(nq,t0,w(lqdot),1,tq,1)
C
tabeta(2) = 1.0d+0
tabeta(1) = beta0
tabeta(0) = 1.0d+0
call dpodiv(tq,tabeta,nq,2)
if (info .gt. 0) call outl2(70,2,2,xx,xx,x,x)
if (info .gt. 1) call outl2(71,2,2,tq,xx,x,x)
C
call dcopy(nq-1,tq(2),1,tq,1)
nq = nq - 2
C
endif
C
return
end
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