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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 [txtdo]=lmitool(PROBNAME,XNAME,DNAME)
[LHS,RHS]=argn(0);
txtdo=[]
if or(RHS == [0 2]) then
error(msprintf(_("%s: Wrong number of input arguments: %d or %d expected.\n"),"lmitool",1,3))
end
if RHS == 1 then
messagebox([gettext("Welcome to LMITOOL");" ";" ";
gettext("LMITOOL is a Scilab package for LMI optimization");
" ";
" ";
gettext("It can solve the following problem");
" ";
gettext(" minimize f(X1,...,XM) ");
gettext("subject to the LME constraints: ");
gettext(" Gi(X1,...,XM)=0, i=1,2,...,p,");
gettext("and the LMI constraints: ");
gettext(" Hj(X1,...,XM)>=0, j=1,2,...,q.");
" ";
gettext("where");
gettext("X1,...,XM are unknown real matrices, referred to as the unknown matrices,");
gettext("f is the objective function, a linear scalar function of the entries of the X''s,");
gettext("Gi''s are affine matrix functions of the entries of the X''s,");
gettext("Hj''s are affine symmetric matrix functions of the entries of the X''s.");
" ";
gettext("These functions are parameterized by the entries of known data matrices D1,...,DN.");
" ";
gettext("For a detailed description and examples consult: ");
gettext(" ''LMITOOL: a Package for LMI Optimization in Scilab, User''s Guide'' ");
" ";
gettext("LMITOOL uses Semidefinite Programming package SP developed by L. Vandenberghe and S. Boyd.")],"modal","scilab");
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);
labels=[gettext("LMI problem name: ");gettext("Names of unknown matrices: "); ...
gettext("Names of data matrices: ")];
[ok,PROBNAME,XNAME,DNAME]=getvalue([gettext("Problem definition");
gettext("LMITOOL will generate a skeleton of the functions needed");
gettext(" (see User''s Guide for details). For that, you need to specify:");
gettext("1- Name of your problem which will be given to the solver function,");
gettext("2- Names of unknown matrices or list of unknown matrices,");
gettext("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=gettext("Try again");
return;
end
end
PROBNAME=stripblanks(PROBNAME);
XNAME=stripblanks(XNAME);
DNAME=stripblanks(DNAME);
pathname=pwd();
fname = pathname+filesep()+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(gettext("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([gettext("Function definitions: ");
gettext("Here is a skeleton of the functions you should edit.");
gettext("You can edit in this window or click on ''ok''.");
gettext("Save and edit the skeleton later through your favorite editor.")],[txt4]);
end
if txt4==[] then txtdo="Try again";return;end
txt=[txt4];
n=1;
if RHS<>3 then
fname=x_dialog([gettext("Name of the file where to save the solver function");
gettext("and the evaluation function");
gettext("(Will overwrite if a file with the same name already exists).")],[fname+" "])
fname=stripblanks(fname);
else
messagebox(gettext("functions saved in ")+fname',"modal","info");
end
if fname<>[] then
deletefile(fname)
write(fname,txt)
else
return
end
// Tell the 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:";
" exec(''"+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+"))"]
messagebox(txtdo,"modal","info");return
end
if RHS==3 then
txtdo = [gettext(" To solve your problem, you need to ");
gettext("1- edit file ")+fname
gettext("2- load (and compile) your functions:");
" exec(''"+fname'+"'')";
gettext("3- Define ")+DNAME+gettext(" and call ")+PROBNAME+gettext(" function:");
" "+"["+XNAME+"]="+PROBNAME+"("+DNAME+")";
gettext("To check the result, use [LME,LMI,OBJ]=")+PROBNAME+"_eval(list("+XNAME+"))"]
end
endfunction
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
endfunction
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