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annotate m-toolbox/test/test_error_prop.m @ 25:79dc7091dbbc database-connection-manager

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Update tests
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % Test error propagation
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 % M Hueller 11-05-10
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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 % $Id: test_error_prop.m,v 1.1 2010/05/11 08:15:50 mauro Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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7
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9 % Case 01: y = m*x, with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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10 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 % m a known constant
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 m_d = -5 + (10).*rand(1,1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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16 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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17 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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18 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 y = x * m_d;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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22
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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23 % check that dy = abs(m) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 test = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 if y.dy ~= abs(m_d)*x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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28
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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29 % Case 02: y = m*x, with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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30 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % m a known constant
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 m_ao = ao(-5 + (10).*rand(1,1));
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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 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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36 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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37 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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38 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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39 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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40
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 y = x*m_ao;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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43 % check that dy = abs(m) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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44 if y.dy ~= abs(m_ao.y)*x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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48 % Case 03: y = z*x, with
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 % z a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 z = ao(-5 + (10).*rand(1,1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 z.setDy(0.02);
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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 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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55 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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56 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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57 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 ));
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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 y = x*z;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 % check that dy = []
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 if ~isempty(y.dy)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 % At the moment this fails.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 % Let's reset it
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 test = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 % Case 11: y = -x, with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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71 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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72
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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73 % Case 12: y = sqrt(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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74 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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75 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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76 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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77 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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78 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 y = sqrt(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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83 % check that dy = abs(1./(2*sqrt(x))) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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84 if y.dy ~= abs(1 ./ (2*sqrt(x.y))) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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88 % Case 13: y = exp(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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89 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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90 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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91 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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92 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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93 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 y = exp(x);
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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>
parents:
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98 % check that dy = abs(exp(x)) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 if y.dy ~= exp(x.y) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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103 % Case 14: y = log(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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106 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111 y = log(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113 % check that dy = abs(1./x) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 if y.dy ~= abs(1./(x.y)) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118 % Case 15: y = ln(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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119 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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120 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 y = ln(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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128 % check that dy = abs(1./x) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129 if y.dy ~= abs(1./(x.y)) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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131 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133 % Case 15: y = log10(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
138 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141 y = log10(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 % check that dy = abs(1./(x*log(10))) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 if y.dy ~= abs(1./(x.y * log(10))) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148 % Case 16: y = sin(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
152 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
153 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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154 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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155
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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156 y = sin(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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157
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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158 % check that dy = abs(cos(x)) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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159 if y.dy ~= abs(cos(x.y)) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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160 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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161 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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162
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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163 % Case 17: y = cos(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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164 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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165 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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167 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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170
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 y = cos(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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172
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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173 % check that dy = abs(sin(x)) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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174 if y.dy ~= abs(sin(x.y)) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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175 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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176 end
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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:
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178
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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179 % Case 18: y = tan(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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180 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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181 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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182 'xvals', [1:10]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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183 'yvals', randn(10, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184 'dy', 0.1*ones(10, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 y = tan(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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188
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 % check that dy = abs(1./(cos(x)).^2) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 if y.dy ~= abs(1./(cos(x.y)).^2) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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191 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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192 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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194 % Case 19: y = asin(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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195 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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196 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197 'xvals', [-1:0.1:1]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198 'yvals', -1 + 2.*rand(21, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 'dy', 0.01*ones(21, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
200 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
201
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
202 y = asin(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
203
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
204 % check that dy = abs(1./(1 - x.^2).^(1/2)) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
205 if y.dy ~= abs(1./(1 - x.y.^2).^(1/2)) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
206 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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207 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
208
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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209 % Case 20: y = acos(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
210 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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211 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
212 'xvals', [-1:0.1:1]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
213 'yvals', -1 + 2.*rand(21, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
214 'dy', 0.01*ones(21, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
215 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
216
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
217 y = acos(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
218
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
219 % check that dy = abs(-1./(1 - x.^2).^(1/2)) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
220 if y.dy ~= abs(-1./(1 - x.y.^2).^(1/2)) .* x.dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
221 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
222 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
223
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
224
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
225 % Case 21: y = atan(x), with
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
226 % x a variable with uncertainty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
227 x = ao(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
228 'xvals', [-1:0.1:1]', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
229 'yvals', -1 + 2.*rand(21, 1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
230 'dy', 0.01*ones(21, 1) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
231 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
232
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
233 y = atan(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
234
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
235 % check that dy = abs(1./(1 + x.^2)) * dy
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
236 if y.dy ~= abs(1./(1 + x.y.^2)) .* x.dy
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
237 test = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
238 end