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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ENPC
//
// 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 %ar_p(l)
// to provide automatic print of ar objects with armap
//
// We use armp_p as the default function for printing
armap_p(l)
endfunction
function armap(ar,out)
//used for display of armax objects
//!
[lhs,rhs]=argn(0)
if rhs==1 then out=%io(2),end
deff("[ta]=%cv(x)",["[m,n]=size(x);";
"frmt=format();frmt=10**frmt(2)/max([1,norm(x)]);";
"x=round(frmt*x)/frmt;";
"t=[];for k=1:m,t=[t;''|''],end;";
"ta=t;for k=1:n,";
" aa=string(x(:,k)),";
" for l=1:m,";
" if part(aa(l),1)<>''-'' then ";
" aa(l)='' ''+aa(l),";
" end,";
" end,";
" n=max(length(aa)),";
" aa=part(aa+blank,1:n),";
" ta=ta+aa+part(blank,1),";
"end;ta=ta+t;"])
// D(x)=Ax + Bu
//-------------
write(out," ")
if ar(1)<>"ar" then write(%io(2)," This is not an ARMAX");return;end;
//
[ny,vid]=size(ar(2));
if ar(3) == [] then
write(out," A(z^-1)y= D(z^-1) e(t)");
else
write(out," A(z^-1)y=B(z^-1)u + D(z^-1) e(t)");
end
write(out," ");
M=["A","B","D"];
lll=lines();
lll=lll(1);
if ar(3)==[] then I=[1,3];else I=1:3 ;end
for i=I;
[a]=ar(i+1)
[na,lna]=size(a)
nli=int((lna/na));
if i==2,nli=int((lna/ar(6)));end;
blank=[];for k=1:na,blank=[blank;" "],end
blank1=part(blank,1:7)
// blank1([na/2,na/2+1])=[' '+M(i)+'(s)= ']
blank1([int(na/2)+1])=[" "+M(i)+"(x)="]
t=blank1;
nna=na;
blank1=part(blank,1:6)
if i==2;nna=ar(6);end
for j=1:nli;
ta=a(:,1+(j-1)*nna:j*nna);
if t==[],t=blank+%cv(ta);else t=t+%cv(ta);end;
str="x^"+string(j-1)
if length(str)==3,str=str+" ";end
if j<>nli;str=str+"+ ";else str=str+" ";end
// blank1([na/2,na/2+1])=[' ';str];
blank1([int(na/2)+1])=[str];
t=t+blank1
if length(t(1))>=lll,write(out,t),write(out," ");t=[];end
end
write(out,t);
write(out," ");
end
write(%io(2)," e(t)=Sig*w(t); w(t) "+string(ny)+"-dim white noise");
write(out," ");
[a]=ar(7)
[na,lna]=size(a)
blank=[];for k=1:na,blank=[blank;" "],end
blank1=part(blank,1:8)
// blank1([na/2,na/2+1])=[' ';' Sig= ']
blank1([int(na/2)+1])=[" Sig= "]
t=blank1;
ta=a;
t=t+%cv(ta);
write(out,t);
write(out," ");
endfunction
function armap_p(ar,out)
//used for display of armax objects
//use Scilan Polynomial matrix display
//!
[lhs,rhs]=argn(0)
if rhs==1 then out=%io(2),end
deff("[ta]=%cv(x)",["[m,n]=size(x);";
"frmt=format();frmt=10**frmt(2)/max([1,norm(x)]);";
"x=round(frmt*x)/frmt;";
"t=[];for k=1:m,t=[t;''|''],end;";
"ta=t;for k=1:n,";
" aa=string(x(:,k)),";
" for l=1:m,";
" if part(aa(l),1)<>''-'' then ";
" aa(l)='' ''+aa(l),";
" end,";
" end,";
" n=max(length(aa)),";
" aa=part(aa+blank,1:n),";
" ta=ta+aa+part(blank,1),";
"end;ta=ta+t;"])
// D(x)=Ax + Bu
//-------------
write(out," ")
if ar(1)<>"ar" then write(%io(2)," This is not an ARMAX");return;end;
//
[ny,vid]=size(ar(2));
if ar(3) == [] then
write(out," A(z^-1)y= D(z^-1) e(t)");
else
write(out," A(z^-1)y=B(z^-1)u + D(z^-1) e(t)");
end
write(out," ");
M=["A","B","D"];
lll=lines();
lll=lll(1);
if ar(3)==[] then I=[1,3];else I=1:3 ;end
A=inv_coeff(ar(2));
//print(out,A);
disp(A,"A(x) =");
write(out," ");
if ar(3)<>[] then
[mb,nb]=size(ar(3));
B=inv_coeff(ar(3),(nb/ar("nu"))-1);
//print(out,B);
disp(B, "B(x) =");
write(out," ");
end
D=inv_coeff(ar(4));
//print(out,D);
disp(D, "D(x)");
write(out," ");
write(%io(2)," e(t)=Sig*w(t); w(t) "+string(ny)+"-dim white noise");
write(out," ");
[a]=ar(7)
[na,lna]=size(a)
blank=[];for k=1:na,blank=[blank;" "],end
blank1=part(blank,1:8)
// blank1([na/2,na/2+1])=[' ';' Sig= ']
blank1([int(na/2)+1])=[" Sig= "]
t=blank1;
ta=a;
t=t+%cv(ta);
write(out,t);
write(out," ");
endfunction
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