[37] | 1 | function symb_pvec = sdisplay(pvec,symbolicname) |
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| 2 | %SDISPLAY Symbolic display of SDPVAR expression |
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| 3 | % |
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| 4 | % Note that the symbolic display only work if all |
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| 5 | % involved variables are explicitely defined as |
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| 6 | % scalar variables. |
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| 7 | % |
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| 8 | % Variables that not are defined as scalars |
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| 9 | % will be given the name ryv(i). ryv means |
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| 10 | % recovered YALMIP variables, i indicates the |
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| 11 | % index in YALMIP (i.e. the result from getvariables) |
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| 12 | % |
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| 13 | % If you want to change the generic name ryv, just |
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| 14 | % pass a second string argument |
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| 15 | % |
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| 16 | % EXAMPLES |
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| 17 | % sdpvar x y |
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| 18 | % sdisplay(x^2+y^2) |
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| 19 | % ans = |
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| 20 | % 'x^2+y^2' |
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| 21 | % |
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| 22 | % t = sdpvar(2,1); |
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| 23 | % sdisplay(x^2+y^2+t'*t) |
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| 24 | % ans = |
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| 25 | % 'x^2+y^2+ryv(5)^2+ryv(6)^2' |
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| 26 | |
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| 27 | |
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| 28 | % Author Johan Löfberg |
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| 29 | % $Id: sym.m,v 1.1 2006/08/10 18:00:22 joloef Exp $ |
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| 30 | allnames = {}; |
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| 31 | for pi = 1:size(pvec,1) |
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| 32 | for pj = 1:size(pvec,2) |
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| 33 | Y.type = '()'; |
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| 34 | Y.subs = [{pi} {pj}]; |
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| 35 | p = subsref(pvec,Y); |
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| 36 | % p = pvec(pi,pj); |
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| 37 | |
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| 38 | if isa(p,'double') |
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| 39 | symb_p = num2str(p); |
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| 40 | else |
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| 41 | LinearVariables = depends(p); |
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| 42 | x = recover(LinearVariables); |
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| 43 | exponent_p = full(exponents(p,x)); |
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| 44 | names = cell(length(x),1); |
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| 45 | for i = 1:length(names) |
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| 46 | names{i} = ['x' num2str(LinearVariables(i))]; |
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| 47 | allnames{end+1} = names{i}; |
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| 48 | end |
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| 49 | |
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| 50 | symb_p = ''; |
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| 51 | if all(exponent_p(1,:)==0) |
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| 52 | symb_p = num2str(full(getbasematrix(p,0))); |
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| 53 | exponent_p = exponent_p(2:end,:); |
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| 54 | end |
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| 55 | |
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| 56 | for i = 1:size(exponent_p,1) |
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| 57 | coeff = full(getbasematrixwithoutcheck(p,i)); |
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| 58 | switch coeff |
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| 59 | case 1 |
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| 60 | coeff='+'; |
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| 61 | case -1 |
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| 62 | coeff = '-'; |
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| 63 | otherwise |
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| 64 | if isreal(coeff) |
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| 65 | if coeff >0 |
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| 66 | coeff = ['+' num2str2(coeff)]; |
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| 67 | else |
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| 68 | coeff=[num2str2(coeff)]; |
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| 69 | end |
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| 70 | else |
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| 71 | coeff = ['+' '(' num2str2(coeff) ')' ]; |
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| 72 | end |
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| 73 | end |
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| 74 | symb_p = [symb_p coeff symbmonom(names,exponent_p(i,:))]; |
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| 75 | end |
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| 76 | if symb_p(1)=='+' |
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| 77 | symb_p = symb_p(2:end); |
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| 78 | end |
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| 79 | end |
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| 80 | symb_pvec{pi,pj} = symb_p; |
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| 81 | end |
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| 82 | end |
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| 83 | allnames = unique(allnames); |
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| 84 | for i = 1:length(allnames) |
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| 85 | evalin('caller',['syms ' allnames{i}]); |
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| 86 | end |
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| 87 | |
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| 88 | |
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| 89 | S = ''; |
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| 90 | for pi = 1:size(pvec,1) |
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| 91 | ss = ''; |
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| 92 | for pj = 1:size(pvec,2) |
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| 93 | ss = [ss ' ' symb_pvec{pi,pj} ',']; |
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| 94 | end |
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| 95 | S = [S ss ';']; |
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| 96 | end |
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| 97 | S = ['[' S ']'] ; |
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| 98 | symb_pvec = evalin('caller',S); |
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| 99 | |
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| 100 | |
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| 101 | function s = symbmonom(names,monom) |
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| 102 | s = ''; |
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| 103 | for j = 1:length(monom) |
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| 104 | if abs( monom(j))>0 |
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| 105 | s = [s names{j}]; |
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| 106 | if monom(j)~=1 |
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| 107 | s = [s '^' num2str(monom(j))]; |
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| 108 | end |
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| 109 | s =[s '*']; |
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| 110 | end |
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| 111 | |
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| 112 | end |
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| 113 | if isequal(s(end),'*') |
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| 114 | s = s(1:end-1); |
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| 115 | end |
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| 116 | |
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| 117 | function s = num2str2(x) |
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| 118 | s = num2str(full(x)); |
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| 119 | if isequal(s,'1') |
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| 120 | s = ''; |
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| 121 | end |
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| 122 | if isequal(s,'-1') |
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| 123 | s = '-'; |
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| 124 | end |
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| 125 | |
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| 126 | |
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