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annotate m-toolbox/test/straight_line_fit/lin_vs_nonlin.m @ 17:7afc99ec5f04 database-connection-manager

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Update ao_model_retrieve_in_timespan
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 mc
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 a = 2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 b = 3;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 x = -1:0.01:1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 xa = ao(plist('dtype', 'cdata', 'yvals', x));
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7
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 n = 1*randn(size(x));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 sn = 2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 na = sn.*ao(plist('dtype', 'cdata', 'yvals', n));
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11
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 y0 = a.*(xa + b).^3;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 ya = y0 + na;
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14
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 %% linearisation
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16
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17
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % ylin = dyda.*da + dydb.*db + y0;
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19
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 da = 0.2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 db = -0.3;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 ag = a+da;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 bg = b+db;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 y0 = ag.*(xa + bg).^3;
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25
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 dyda = (xa+bg).^3;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 dydb = ag.*(xa+bg).^2;
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28
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 tgtData = ya-y0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 fitData = lscov(dyda, dydb, tgtData);
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31
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 dfit = fitData - tgtData;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 iplot(dfit)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 iplot(hist(dfit))
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35
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 params = find(fitData.procinfo, 'P')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 af = ag + params(1)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 bf = bg + params(2)
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39
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 errs = find(fitData.procinfo, 'STD');
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41
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 afe = 100*errs(1)./af
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 bfe = 100*errs(2)./bf
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44
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 %% Non-linear fit
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46
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 xy = ao(plist('xvals', x, 'yvals', ya.y));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 pl = plist('Function', 'P(1).*(Xdata + P(2)).^3', 'P0', [ag bg]);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 nlfit = curvefit(xy, pl);
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50
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