annotate m-toolbox/test/test_ao_polynomfit.m @ 16:91f21a0aab35 database-connection-manager

Update utils.jquery * * * Update utils.jmysql.getsinfo
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % TEST_AO_POLYNOMFIT tests the polynomfit method of the AO class:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 % - functionality
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 % - against lscov
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % M Hueller and D Nicolodi 07-01-10
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 %
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7 % $Id: test_ao_polynomfit.m,v 1.2 2010/04/08 04:30:02 mauro Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 %
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9
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 function test_ao_polynomfit()
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 %% test polynomfit vs lscov
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 disp(' ************** ');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 disp('Example with combination of noise terms');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 disp(' ');
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15
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 fs = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 nsecs = 10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 n = [0 1 -2];
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19
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 X = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'm'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 N = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'm'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 C = [ao(1, plist('yunits', 'm')) ao(4, plist('yunits', 'm/m')) ao(2, plist('yunits', 'm/m^(-2)'))];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 Y = C(1) * X.^0 + C(2) * X.^1 + C(3) * X.^(-2) + N;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 Y.simplifyYunits;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % Fit with UTN double/polynom_fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 fprintf('UTN POLYNOM_FIT:\n');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 try
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 out = polynom_fit(X.y, Y.y, n, 'nopl');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 catch err
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 disp(err.message);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 disp('UTN method polynom_fit.m for double not available');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % Fit with Matlab lscov
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 fprintf('LSCOV:\n');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 x = X.y;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 y = Y.y;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 m = zeros(length(x), length(n));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 for k = 1:length(n)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 m(:,k) = x .^ n(k);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 [p, stdx, mse] = lscov(m, y);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 p
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 stdx
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 mse
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % Fit with LTPDA ao/polynomfit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 fprintf('AO/POLYNOMFIT:\n');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 out = polynomfit(X, Y, plist('orders', n))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 %% More tests
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 %% Make fake AO from polyval
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 nsecs = 5;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 fs = 10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 n = [0 1 -2];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 unit_list = unit.supportedUnits;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 u1 = unit(cell2mat(utils.math.randelement(unit_list,1)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 pl1 = plist('nsecs', nsecs, 'fs', fs, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 'tsfcn', sprintf('t.^%d + t.^%d + t.^%d + randn(size(t))', n), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 'xunits', 's', 'yunits', u1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 a1 = ao(pl1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 C = [ao(1, plist('yunits', a1.yunits)) ao(4, plist('yunits', '')) ao(2, plist('yunits', simplify(a1.yunits/(a1.yunits.^-2))))];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 N = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', u1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 a2 = C(1) * a1.^n(1) + C(2) * a1.^n(2) + C(3) * a1.^n(3) + N;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 a2.simplifyYunits;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 %% Fit with a polynomial function
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 p11 = polynomfit(a1, plist('orders', n ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 p12 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 'dy', 0.1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 p22 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80 'dx', 0.1, 'dy', 0.1, 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 p13 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 'dy', 0.1*ones(size(a1.y))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 p23 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 'dx', 0.1*ones(size(a1.x)), 'dy', 0.1*ones(size(a1.y)), 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 p14 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 'dy', ao(0.1, plist('yunits', a1.yunits))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 p24 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 'dx', ao(0.1, plist('yunits', a1.xunits)), 'dy', ao(0.1, plist('yunits', a1.yunits)), 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 p15 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 'dy', ao(0.1*ones(size(a1.y)), plist('yunits', a1.yunits))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 p25 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 'dx', ao(0.1*ones(size(a1.x)), plist('yunits', a1.xunits)), 'dy', ao(0.1*ones(size(a1.y)), plist('yunits', a1.yunits)), 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 p26 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 'dx', 0.1, 'dy', 0.1, 'P0', ao(zeros(size(n)))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 p27 = polynomfit(a1, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 'dx', 0.1, 'dy', 0.1, 'P0', p11));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 %% Compute fit: evaluating pest
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 b11 = p11.eval(plist('type', 'tsdata', 'XData', a1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 b11.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 b12 = p12.eval(plist('type', 'tsdata', 'XData', a1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 b12.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 b22 = p22.eval(a1, plist('type', 'tsdata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 b22.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 b13 = p13.eval(plist('type', 'tsdata', 'XData', a1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 b13.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 b23 = p23.eval(a1, plist('type', 'tsdata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 b23.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 b14 = p14.eval(plist('type', 'tsdata', 'XData', a1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 b14.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 b24 = p24.eval(a1, plist('type', 'tsdata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 b24.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 b15 = p15.eval(a1, plist('type', 'tsdata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 b15.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 b25 = p25.eval(plist('type', 'tsdata', 'XData', a1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 b25.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118 b26 = p26.eval(plist('type', 'tsdata', 'XData', a1.x));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 b26.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 b27 = p27.eval(plist('type', 'tsdata', 'XData', a1.x));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 b27.removeVal(plist('value', Inf));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123 %% Plot fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 iplot(a1, b11, b12, b13, b14, b15, b26, b27, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 plist('LineStyles', {'', '--'}));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 %% Remove linear trend
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 c = a1.removeVal(plist('value', Inf))-b11;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 iplot(c)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 plot(c.hist)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 %% Reproduce from history
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 disp('Try rebuilding')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 a_out = rebuild(c);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 iplot(a_out)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137 plot(a_out.hist)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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138
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 %% Fit with a polynomial function
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140
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Daniele Nicolodi <nicolodi@science.unitn.it>
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141 p11 = polynomfit(a1, a2, plist('orders', n ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 p12 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 'dy', 0.1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145 p22 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146 'dx', 0.1, 'dy', 0.1, 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147 p13 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148 'dy', 0.1*ones(size(a1.x))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 p23 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
150 'dx', 0.1*ones(size(a1.x)), 'dy', 0.1*ones(size(a1.x)), 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
151 p14 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
152 'dy', ao(0.1, plist('yunits', a2.yunits))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
153 p24 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
154 'dx', ao(0.1, plist('yunits', a1.yunits)), 'dy', ao(0.1, plist('yunits', a2.yunits)), 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
155 p15 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
156 'dy', ao(0.1*ones(size(a2.y)), plist('yunits', a2.yunits))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
157 p25 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
158 'dx', ao(0.1*ones(size(a1.y)), plist('yunits', a1.yunits)), 'dy', ao(0.1*ones(size(a2.y)), plist('yunits', a2.yunits)), 'P0', zeros(size(n))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
159 p26 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
160 'dx', 0.1, 'dy', 0.1, 'P0', ao(zeros(size(n)))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
161 p27 = polynomfit(a1, a2, plist('orders', n, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
162 'dx', 0.1, 'dy', 0.1, 'P0', p11));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
163
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
164 %% Compute fit: evaluating pest
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
165
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 b11 = p11.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167 b12 = p12.eval(plist('type', 'xydata', 'XData', a1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 b22 = p22.eval(a1, plist('type', 'xydata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169 b13 = p13.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
170 b23 = p23.eval(a1, plist('type', 'xydata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 b14 = p14.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
172 b24 = p24.eval(a1, plist('type', 'xydata'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
173 b15 = p15.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
174 b25 = p25.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
175 b26 = p26.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
176 b27 = p27.eval(plist('type', 'xydata', 'XData', a1.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
177
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
178 % Build reference object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
179 a12 = ao(plist('xvals', a1.y, 'yvals', a2.y, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
180 'xunits', a1.yunits, 'yunits', a2.yunits));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
181 %% Plot fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
182 iplot(a12, b11, b12, b23, b14, b25, b26, b27, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183 plist('LineStyles', {'', '--'}));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185 %% Remove linear trend
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186 c = a12-b27;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 iplot(c)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 plot(c.hist)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191 %% Reproduce from history
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192 disp('Try rebuilding')
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193 a_out = rebuild(c);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194 iplot(a_out)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195 plot(a_out.hist)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197 % end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198 % END
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 end