1 | from sas.sascalc.data_util.calcthread import CalcThread |
---|
2 | from sas.sascalc.dataloader.data_info import Data1D |
---|
3 | from scipy.fftpack import dct |
---|
4 | from scipy.integrate import trapz, cumtrapz |
---|
5 | import numpy as np |
---|
6 | from time import sleep |
---|
7 | |
---|
8 | class FourierThread(CalcThread): |
---|
9 | def __init__(self, raw_data, extrapolated_data, bg, updatefn=None, |
---|
10 | completefn=None): |
---|
11 | CalcThread.__init__(self, updatefn=updatefn, completefn=completefn) |
---|
12 | self.data = raw_data |
---|
13 | self.background = bg |
---|
14 | self.extrapolation = extrapolated_data |
---|
15 | |
---|
16 | def check_if_cancelled(self): |
---|
17 | if self.isquit(): |
---|
18 | self.update("Fourier transform cancelled.") |
---|
19 | self.complete(transforms=None) |
---|
20 | return True |
---|
21 | return False |
---|
22 | |
---|
23 | def compute(self): |
---|
24 | qs = self.extrapolation.x |
---|
25 | iqs = self.extrapolation.y |
---|
26 | q = self.data.x |
---|
27 | background = self.background |
---|
28 | |
---|
29 | xs = np.pi*np.arange(len(qs),dtype=np.float32)/(q[1]-q[0])/len(qs) |
---|
30 | |
---|
31 | self.ready(delay=0.0) |
---|
32 | self.update(msg="Fourier transform in progress.") |
---|
33 | self.ready(delay=0.0) |
---|
34 | |
---|
35 | if self.check_if_cancelled(): return |
---|
36 | try: |
---|
37 | # ----- 1D Correlation Function ----- |
---|
38 | gamma1 = dct((iqs-background)*qs**2) |
---|
39 | Q = gamma1.max() |
---|
40 | gamma1 /= Q |
---|
41 | |
---|
42 | if self.check_if_cancelled(): return |
---|
43 | |
---|
44 | # ----- 3D Correlation Function ----- |
---|
45 | # gamma3(R) = 1/R int_{0}^{R} gamma1(x) dx |
---|
46 | # trapz uses the trapezium rule to calculate the integral |
---|
47 | mask = xs <= 200.0 # Only calculate gamma3 up to x=200 (as this is all that's plotted) |
---|
48 | # gamma3 = [trapz(gamma1[:n], xs[:n])/xs[n-1] for n in range(2, len(xs[mask]) + 1)]j |
---|
49 | # gamma3.insert(0, 1.0) # Gamma_3(0) is defined as 1 |
---|
50 | n = len(xs[mask]) |
---|
51 | gamma3 = cumtrapz(gamma1[:n], xs[:n])/xs[1:n] |
---|
52 | gamma3 = np.hstack((1.0, gamma3)) # Gamma_3(0) is defined as 1 |
---|
53 | |
---|
54 | if self.check_if_cancelled(): return |
---|
55 | |
---|
56 | # ----- Interface Distribution function ----- |
---|
57 | idf = dct(-qs**4 * (iqs-background)) |
---|
58 | |
---|
59 | if self.check_if_cancelled(): return |
---|
60 | |
---|
61 | # Manually calculate IDF(0.0), since scipy DCT tends to give us a |
---|
62 | # very large negative value. |
---|
63 | # IDF(x) = int_0^inf q^4 * I(q) * cos(q*x) * dq |
---|
64 | # => IDF(0) = int_0^inf q^4 * I(q) * dq |
---|
65 | idf[0] = trapz(-qs**4 * (iqs-background), qs) |
---|
66 | idf /= Q # Normalise using scattering invariant |
---|
67 | |
---|
68 | except Exception as e: |
---|
69 | import logging |
---|
70 | logger = logging.getLogger(__name__) |
---|
71 | logger.error(e) |
---|
72 | |
---|
73 | self.update(msg="Fourier transform failed.") |
---|
74 | self.complete(transforms=None) |
---|
75 | return |
---|
76 | if self.isquit(): |
---|
77 | return |
---|
78 | self.update(msg="Fourier transform completed.") |
---|
79 | |
---|
80 | transform1 = Data1D(xs, gamma1) |
---|
81 | transform3 = Data1D(xs[xs <= 200], gamma3) |
---|
82 | idf = Data1D(xs, idf) |
---|
83 | |
---|
84 | transforms = (transform1, transform3, idf) |
---|
85 | |
---|
86 | self.complete(transforms=transforms) |
---|
87 | |
---|
88 | class HilbertThread(CalcThread): |
---|
89 | def __init__(self, raw_data, extrapolated_data, bg, updatefn=None, |
---|
90 | completefn=None): |
---|
91 | CalcThread.__init__(self, updatefn=updatefn, completefn=completefn) |
---|
92 | self.data = raw_data |
---|
93 | self.background = bg |
---|
94 | self.extrapolation = extrapolated_data |
---|
95 | |
---|
96 | def compute(self): |
---|
97 | qs = self.extrapolation.x |
---|
98 | iqs = self.extrapolation.y |
---|
99 | q = self.data.x |
---|
100 | background = self.background |
---|
101 | |
---|
102 | self.ready(delay=0.0) |
---|
103 | self.update(msg="Starting Hilbert transform.") |
---|
104 | self.ready(delay=0.0) |
---|
105 | if self.isquit(): |
---|
106 | return |
---|
107 | |
---|
108 | # TODO: Implement hilbert transform |
---|
109 | |
---|
110 | self.update(msg="Hilbert transform completed.") |
---|
111 | |
---|
112 | self.complete(transforms=None) |
---|