1 | r""" |
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2 | This model calculates intensity using simple linear function |
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3 | Definition |
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4 | ---------- |
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5 | |
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6 | The scattering intensity $I(q)$ is calculated as |
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7 | |
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8 | .. math:: |
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9 | |
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10 | I(q) = A + B*q |
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11 | |
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12 | .. figure:: img/broad_peak_1d.jpg |
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13 | |
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14 | 1D plot using the default values (w/200 data point). |
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15 | |
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16 | References |
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17 | ---------- |
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18 | |
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19 | None. |
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20 | |
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21 | """ |
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22 | from numpy import inf |
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23 | |
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24 | name = "line" |
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25 | title = "Line model" |
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26 | description = """\ |
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27 | I(q) = A + B*q |
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28 | |
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29 | List of default parameters: |
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30 | A = intercept |
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31 | B = slope |
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32 | """ |
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33 | category = "shape-independent" |
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34 | |
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35 | # pylint: disable=bad-whitespace, line-too-long |
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36 | # ["name", "units", default, [lower, upper], "type", "description"], |
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37 | parameters = [["intercept", "cm^-1", 1.0, [-inf, inf], "", "intercept in linear model"], |
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38 | ["slope", "Ang*cm^-1", 1.0, [-inf, inf], "", "slope in linear model"], |
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39 | ] |
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40 | # pylint: enable=bad-whitespace, line-too-long |
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41 | |
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42 | def Iq(q, intercept, slope): |
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43 | """ |
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44 | :param q: Input q-value |
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45 | :param intercept: Intrecept in linear model |
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46 | :param slope: Slope in linear model |
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47 | :return: Calculated Intensity |
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48 | """ |
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49 | inten = intercept + slope*q |
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50 | return inten |
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51 | |
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52 | Iq.vectorized = True # Iq accepts an array of q values |
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53 | |
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54 | def Iqxy(qx, qy, *args): |
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55 | """ |
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56 | :param qx: Input q_x-value |
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57 | :param qy: Input q_y-value |
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58 | :param args: Remaining arguments |
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59 | :return: 2D-Intensity |
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60 | """ |
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61 | #TODO: Instrcution tels 2D has different deffinition than oher models |
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62 | #return Iq(sqrt(qx ** 2 + qy ** 2), *args) |
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63 | return Iq(qx, *args)*Iq(qy, *args) |
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64 | |
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65 | Iqxy.vectorized = True # Iqxy accepts an array of qx, qy values |
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66 | |
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67 | demo = dict(intercept=1.0, slope=1.0) |
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68 | |
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69 | oldname = "LineModel" |
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70 | oldpars = dict(intercept='A', slope='B', scale=None, background=None) |
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71 | |
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72 | tests = [ |
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73 | # Accuracy tests based on content in test/utest_other_models.py |
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74 | [{'intercept': 1.0, |
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75 | 'slope': 1.0, |
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76 | }, 0.4, 0.4], |
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77 | |
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78 | [{'intercept': 1.0, |
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79 | 'slope': 1.0, |
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80 | }, 1.3, 1.3], |
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81 | |
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82 | [{'intercept': 1.0, |
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83 | 'slope': 1.0, |
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84 | },0.5, 0.5], |
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85 | |
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86 | [{'intercept': 1.0, |
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87 | 'slope': 1.0, |
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88 | }, 1.57, 1.57], |
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89 | ] |
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