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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA -
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function [h,name]=bloc2exp(syst,sexp)
[lhs,rhs]=argn(0)
if type(syst)<>15 then
error(msprintf(gettext("%s: Wrong type for input argument #%d: A list expected.\n"),"bloc2exp",1));
end;
if syst(1)<>"blocd" then
error(msprintf(gettext("%s: Wrong type for input argument #%d: A list expected.\n"),"bloc2exp",1));
end;
//inter%connection matrix
nsyst=size(syst)
for l=2:nsyst
sys=syst(l)
if sys(1)=="blocd" then
if rhs==1 then sys=bloc2exp(sys)
syst(l)=list("transfer",sys)
else [sys]=bloc2exp(sys,sexp)
syst(l)=list("transfer",sys(1))
sexp=sys(2)
end;
end;
end;
if lhs==2 then [t,nio,name]=construct(syst)
else [t,nio]=construct(syst)
end;
//linear equation
if rhs==1 then
t=trianfml(t)
else
[t,sexp]=trianfml(t,sexp)
end
[nt,mt]=size(t)
h=t(nt-nio(2)+1:nt,nt+1:mt)
for kt=1:nio(1),for lt=1:nio(2),
h(lt,kt)=mulf("-1",h(lt,kt))
end,end,
if rhs==1 then h=trisolve(t(nt-nio(2)+1:nt,nt-nio(2)+1:nt),h)
else [h,sexp]=trisolve(t(nt-nio(2)+1:nt,nt-nio(2)+1:nt),h,sexp)
h=list(h,sexp)
end;
if lhs==2 then name=list(name(nt+1:mt)',name(nt-nio(2)+1:nt)'),end,
endfunction
function [ab,nio,name]=construct(syst)
//!
[lhs,rhs]=argn(0)
[lboites,lliens,lentrees,lsorties]=blocdext(syst)
nio=[prod(size(lentrees)),prod(size(lsorties))]
lliens=[lliens,lsorties]
nlignes=prod(size(lliens))
ncols=nlignes+nio(1)
//
ab=string(0*ones(nlignes,ncols))
l=1;
for numero=lboites
//on ecrit les equations relatives a la boite "bloc" --> une ligne bloc de la
//matrice ab
bloc=syst(numero)
transfert=bloc(2);[no,ni]=size(transfert);
l1=l+no-1;
outint=out1(numero,lliens)
internes=%connect(numero,lliens);
externes=%connect(numero,lentrees);
for inti=internes
ni=prod(size(inti))
ab(l:l1,inti(1))=transfert(:,inti(2:ni))
ll=0;for iout=outint
ab(l-1+iout(2),iout(1))="-eye()"
ll=ll+1
end;
end;
for ext=externes
ne=prod(size(ext))
ab(l:l1,nlignes+ext(1))=transfert(:,ext(2:ne))
ll=0;for iout=outint
ab(l-1+iout(2),iout(1))="-eye()"
ll=ll+1
end;
end;
l=l1+1
end;
if lhs==1 then return,end
name=[]
for kvar=[lliens,lentrees],
obj=syst(kvar)
name=[name,obj(2)]
end;
endfunction
function [lboites,lliens,lentrees,lsorties]=blocdext(syst)
//!
//
lboites=[]
lliens=[]
lentrees=[]
lsorties=[]
nsyst=size(syst)
for k=2:nsyst
obj=syst(k)
if type(obj)==15, if size(obj)>1 then
select obj(1)
case "transfer",
lboites=[lboites,k]
case "link"
obj2=obj(3)
if obj2(1)>0 then
nobj=size(obj)
is_sortie=[]
for ko=3:nobj
objk=obj(ko)
if objk(1)<0 then is_sortie=[is_sortie,-objk(1)],end
end;
if is_sortie==[] then lliens=[lliens,k],
else lsorties(1,is_sortie)=k
end;
else lentrees(1,-obj2(1))=k,
end;
else error(msprintf(gettext("%s: Undefined type ''%s''.\n"),"bloc2exp",obj(1)))
end;
end,end
end;
if min(lsorties)==0 then
error(msprintf(gettext("%s: Some output(s) are undefined.\n"),"bloc2exp")),
end
if min(lentrees)==0 then
error(msprintf(gettext("%s: Some input(s) are undefined.\n"),"bloc2exp")),
end
endfunction
function [where_x]=%connect(bloc,lliens,syst)
where_x=list();nw=0
nliens=prod(size(lliens))
for l=1:nliens,
lien=syst(lliens(l));
nb=size(lien);
whi=l
for k=4:nb,
output=lien(k),
if bloc==output(1) then whi=[whi,output(2)],end;
end;
if prod(size(whi))>1 then nw=nw+1,where_x(nw)=whi,end
end;
endfunction
function [where_x]=out1(bloc,lliens,syst)
where_x=[];l=0;
for li=lliens
lien=syst(li)
nb=size(lien);l=l+1;
output=lien(3),
if bloc==output(1) then where_x=[where_x,[l;output(2)]],end;
end;
endfunction
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