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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