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function [txtdo]=lmitool(PROBNAME,XNAME,DNAME)
// Copyright INRIA
[LHS,RHS]=argn(0);
txtdo=[]
if RHS ~=3 then
x_message(['Welcome to LMITOOL';' ';' ';
'LMITOOL is a Scilab package for LMI optimization';
' ';
' ';
'It can solve the following problem';
' ';
' minimize f(X1,...,XM) ';
'subject to the LME constraints: ';
' Gi(X1,...,XM)=0, i=1,2,...,p,';
'and the LMI constraints: ';
' Hj(X1,...,XM)>=0, j=1,2,...,q.';
' ';
'where';
'X1,...,XM are unknown real matrices, referred to as the unknown matrices,';
'f is the objective function, a linear scalar function of the entries of the X''s,';
'Gi''s are affine matrix functions of the entries of the X''s,';
'Hj''s are affine symmetric matrix functions of the entries of the X''s.';
' ';
'These functions are parameterized by the entries of known data matrices D1,...,DN.';
' ';
'For a detailed description and examples consult: ';
' ''LMITOOL: a Package for LMI Optimization in Scilab, User''s Guide'' ';
' ';
'LMITOOL uses Semidefinite Programming package SP developed by L. Vandenberghe and S. Boyd.'])
PROBNAME1='foo';
XNAME1='X1,X2,...';
DNAME1='D1,D2,...';
if RHS==1 then
tt=read(PROBNAME,-1,1,'(a)');
tt=stripblanks(tt);
mat=str2vec(tt);
[q1,p1]=find(mat'=='[');
[q2,p2]=find(mat'==']');
XNAME1=mat(p1(1),q1(1)+1:q2(1)-1);
XNAME1=strcat(XNAME1);
[q1,p1]=find(mat'=='(');
[q2,p2]=find(mat'==')');
DNAME1=mat(p1(1),q1(1)+1:q2(1)-1);
DNAME1=strcat(DNAME1);
[q2,p2]=find(mat'=='=');
PROBNAME1=mat(p2(1),q2(1)+1:q1(1)-1);
PROBNAME1=strcat(PROBNAME1);
end
labels=['LMI problem name: ';'Names of unknown matrices: ';...
'Names of data matrices: '];
[ok,PROBNAME,XNAME,DNAME]=getvalue(['Problem definition';
'LMITOOL will generate for you a skeleton of the functions needed';
' (see User''s Guide for details). For that, you need to specify:';
'1- Name of you problem which will be given to the solver function,';
'2- Names of unknown matrices or list of unknown matrices,';
'3- Names of data matrices or list of data matrices.'],labels,...
list('str',1,'str',1,'str',1),...
[PROBNAME1+' ',XNAME1+' ',DNAME1+' ']);
if ok==%f then
txtdo='Try again';return;
end
end
PROBNAME=stripblanks(PROBNAME);
XNAME=stripblanks(XNAME);
DNAME=stripblanks(DNAME);
pathname=getcwd();
fname = pathname+'/'+PROBNAME+'.sci';
txt0='function ['+XNAME+']='+PROBNAME+'('+DNAME+')'
txt0=[txt0;'/'+'/ Generated by lmitool on ';' '];
txt0=[txt0;
' Mbound = 1e3;';
' abstol = 1e-10;';
' nu = 10;';
' maxiters = 100;';
' reltol = 1e-10;';
' options=[Mbound,abstol,nu,maxiters,reltol];'
' ']
nv=length(XNAME);
index_commas=[];
for k=1:nv
if part(XNAME,k)==',' then index_commas=[index_commas,k],end
end
vnum = length(index_commas)+1;
index_commas = [0 index_commas length(XNAME)+1];
txt1=[];txt2=[];
for i = 1:vnum,
vname = part(XNAME,index_commas(i)+1:index_commas(i+1)-1);
if RHS<>1 then
txt1 = [txt1;
vname+'_init=...']
end
txt2=[txt2,vname+'_init'];
end
txts1=['function [LME,LMI,OBJ]='+PROBNAME+'_eval(XLIST)';
'['+XNAME+']=XLIST(:)']
if RHS ~= 1 then
txts2=['LME=...';'LMI=...';'OBJ=...']
else
[p,q]=size(mat);
ind=[]
for i=1:p
if mat(i,2:7)==['/','/','/','/','/','/'] then
ind=[ind i];
end
end
if size(ind,'*')<>4 then
error('File not generated by lmitool or badly modified');
end
txt1=[];
for i=ind(1)+1:ind(2)-1
txt1=[txt1;strcat(mat(i,:))];
end
txts2=[];
for i=ind(4)+1:p
txts2=[txts2;strcat(mat(i,:))];
end
end
sep11=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+'DEFINE INITIAL GUESS AND PRELIMINARY CALCULATIONS BELOW']
sep12=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+' ']
sep13=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+'DEFINE LME, LMI and OBJ BELOW']
sep2=['/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'...
+'/'+'EVALUATION FUNCTION'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/'+'/']
txt2=[
'XLIST0=list('+strcat(txt2,',')+')';
'XLIST=lmisolver(XLIST0,'+PROBNAME+'_eval,options)';
'['+XNAME+']=XLIST(:)'];
txt4=[txt0;sep11;txt1;sep12;' ';txt2;' ';' ';' ';...
sep2;' ';txts1;' ';sep13;txts2];
if RHS==0|RHS==1 then
[txt4]=x_dialog(['Function definitions';
'Here is a skeleton of the functions which you shoud edit';
'You can do the editing in this window or click on ''ok'', save';
'the skeleton and edit later using your favorite editor'],[txt4]);
end
if txt4==[] then txtdo='Try again';return;end
txt=[txt4];
n=1;
if RHS<>3 then
fname=x_dialog(['Name of file in which you want the solver function';
'and the evaluation function be saved (overwrites if a';
'file with the same name exists already)'],[fname+' '])
fname=stripblanks(fname);
else
x_message('functions saved in '+fname');
end
if fname<>[] then
if getenv('WIN32','NO')=='OK' & getenv('COMPILER','NO')=='VC++' then
unix_s('del '+fname);
else
unix_s('\rm -f '+fname);
end
write(fname,txt)
else
return
end
// tell user what to do:
if RHS==0|RHS==1 then
txtdo = [' To solve your problem, you need to ';
'1- load your functions using the command:';
' getf('''+fname'+''')';
'2- Define '+DNAME+' and call function '+PROBNAME+' as follows:';
' '+'['+XNAME+']='+PROBNAME+'('+DNAME+')';
' Good luck! ';
'To check the result, use [LME,LMI,OBJ]='+PROBNAME+'_eval(list('+XNAME+'))']
x_message(txtdo);return
end
if RHS==3 then
txtdo = [' To solve your problem, you need to ';
'1- edit file '+fname
'2- load (and compile) your functions:';
' getf('''+fname'+''')';
'3- Define '+DNAME+' and call '+PROBNAME+' function:';
' '+'['+XNAME+']='+PROBNAME+'('+DNAME+')';
'To check the result, use [LME,LMI,OBJ]='+PROBNAME+'_eval(list('+XNAME+'))']
end
function [vec]=str2vec(str)
w=length(str);
[p,q]=size(w);ma=max(w);
vec=[];
for i=1:ma
vec=[vec part(str,i)]
end
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