[4] | 1 | function varargout = fittune2(newtunes, quadfam1, quadfam2, varargin); |
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| 2 | %FITTUNE2 fits linear tunes of THERING using 2 quadrupole families |
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| 3 | % FITTUNE2(NEWTUNES,QUADFAMILY1,QUADFAMILY2) |
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| 4 | % INPUTS |
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| 5 | % 1. newtunes - 2D tune vector to fit to |
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| 6 | % 2. quadfam1 - Family name for the first quadrupole family |
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| 7 | % 3. quadfam1 - Family name for the second quadrupole family |
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| 8 | % 4. delta - Kvariation for computing Jacobian matrix |
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| 9 | % 5. Display - Displays fitting results {default} |
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| 10 | % NoDisplay- Do not displays fitting results |
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| 11 | % |
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| 12 | % EXAMPLES |
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| 13 | % 1. fittune2([0.2 0.3],'Q7','Q9') |
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| 14 | % |
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| 15 | % See Also fitchrom2 |
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| 16 | |
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| 17 | % |
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| 18 | % Written by Andrei Terebilo |
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| 19 | % Modified by Laurent S. Nadolski |
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| 20 | % MARCH 25, 2005 - Take into account thin sextupoles |
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| 21 | % - Display Flag |
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| 22 | |
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| 23 | DisplayFlag = 1; |
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| 24 | |
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| 25 | %% Optional Input data parser |
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| 26 | for i = length(varargin):-1:1 |
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| 27 | if strcmpi(varargin{i},'Display') |
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| 28 | DisplayFlag = 1; |
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| 29 | varargin(i) = []; |
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| 30 | elseif strcmpi(varargin{i},'NoDisplay') |
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| 31 | DisplayFlag = 0; |
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| 32 | varargin(i) = []; |
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| 33 | end |
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| 34 | end |
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| 35 | |
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| 36 | % Must declare THERING as global in order for the function to modify quadrupole values |
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| 37 | global THERING |
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| 38 | if length(varargin) > 3 % use externally supplied step size for quadrupole K-values |
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| 39 | delta = varargin{1} |
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| 40 | else |
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| 41 | delta = 1e-6; % default step size for quadrupole K-values |
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| 42 | end |
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| 43 | % find indexes of the 2 quadrupole families use for fitting |
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| 44 | Q1I = findcells(THERING,'FamName',quadfam1); |
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| 45 | Q2I = findcells(THERING,'FamName',quadfam2); |
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| 46 | |
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| 47 | InitialK1 = getcellstruct(THERING,'K',Q1I); |
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| 48 | InitialK2 = getcellstruct(THERING,'K',Q2I); |
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| 49 | InitialPolB1 = getcellstruct(THERING,'PolynomB',Q1I,2); |
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| 50 | InitialPolB2 = getcellstruct(THERING,'PolynomB',Q2I,2); |
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| 51 | |
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| 52 | %% Compute initial tunes before fitting |
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| 53 | [ LD, InitialTunes] = linopt(THERING,0); |
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| 54 | |
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| 55 | TempTunes = InitialTunes; |
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| 56 | TempK1 = InitialK1; |
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| 57 | TempK2 = InitialK2; |
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| 58 | TempPolB1 = InitialPolB1; |
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| 59 | TempPolB2 = InitialPolB2; |
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| 60 | |
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| 61 | %% Take Derivative |
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| 62 | THERING = setcellstruct(THERING,'K',Q1I,TempK1+delta); |
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| 63 | THERING = setcellstruct(THERING,'PolynomB',Q1I,TempPolB1+delta,2); |
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| 64 | [LD , Tunes_dK1 ] = linopt(THERING,0); |
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| 65 | THERING = setcellstruct(THERING,'K',Q1I,TempK1); |
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| 66 | THERING = setcellstruct(THERING,'PolynomB',Q1I,TempPolB1,2); |
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| 67 | THERING = setcellstruct(THERING,'K',Q2I,TempK2+delta); |
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| 68 | THERING = setcellstruct(THERING,'PolynomB',Q2I,TempPolB2+delta,2); |
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| 69 | [LD , Tunes_dK2 ] = linopt(THERING,0); |
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| 70 | THERING = setcellstruct(THERING,'K',Q2I,TempK2); |
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| 71 | THERING = setcellstruct(THERING,'PolynomB',Q2I,TempPolB2,2); |
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| 72 | |
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| 73 | %% Construct the Jacobian |
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| 74 | J = ([Tunes_dK1(:) Tunes_dK2(:)] - [TempTunes(:) TempTunes(:)])/delta; |
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| 75 | Jinv = inv(J); |
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| 76 | |
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| 77 | dnu = (newtunes(:) - TempTunes(:)); |
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| 78 | dK = Jinv*dnu; |
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| 79 | |
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| 80 | TempK1 = TempK1+dK(1); |
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| 81 | TempK2 = TempK2+dK(2); |
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| 82 | TempPolB1 = TempPolB1 + dK(1); |
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| 83 | TempPolB2 = TempPolB2 + dK(2); |
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| 84 | |
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| 85 | THERING = setcellstruct(THERING,'K',Q1I,TempK1); |
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| 86 | THERING = setcellstruct(THERING,'PolynomB',Q1I,TempPolB1,2); |
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| 87 | THERING = setcellstruct(THERING,'K',Q2I,TempK2); |
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| 88 | THERING = setcellstruct(THERING,'PolynomB',Q2I,TempPolB2,2); |
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| 89 | |
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| 90 | [LD,TempTunes] = linopt(THERING,0); |
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| 91 | |
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| 92 | %InitialK1 - TempK1; |
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| 93 | %InitialK2 - TempK2; |
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| 94 | %TempTunes |
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| 95 | |
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| 96 | %% Display how good is the fit |
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| 97 | if DisplayFlag |
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| 98 | fprintf('Desired tunes nux=%f nuz=%f\n',newtunes); |
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| 99 | [tune xi] = tunechrom(THERING,0,'chrom'); |
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| 100 | fprintf('Reached tunes nux=%f nuz=%f\n',TempTunes); |
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| 101 | end |
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