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Add convenience functions to generate an integration times vector
author Daniele Nicolodi <daniele@grinta.net>
date Tue, 24 Mar 2015 18:10:10 +0100
parents 3dcd4cfd8f82
children
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Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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1 import numpy as np
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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2 cimport numpy as np
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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3 cimport cython
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4
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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5 @cython.boundscheck(False)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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6 @cython.wraparound(False)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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7 @cython.cdivision(True)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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8 def _xmvar(np.ndarray[np.double_t, ndim=1] x, int m):
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9
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10 cdef double c
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11 cdef double v
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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12 cdef int n = x.shape[0]
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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13 cdef unsigned int j
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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14 cdef unsigned int i
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15
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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16 c = 0
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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17 for j in range(n - 3 * m + 1):
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18 v = 0
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19 for i in range(j, j + m):
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20 v += (x[i + 2 * m] - 2 * x[i + m] + x[i]) / m
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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21 c += v * v
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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22 return c / (2.0 * m*m * (n - 3 * m + 1))
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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23
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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24
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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25 @cython.boundscheck(False)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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26 @cython.wraparound(False)
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27 @cython.cdivision(True)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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28 def _xmvar2(np.ndarray[np.double_t, ndim=1] x, np.ndarray[np.int_t, ndim=1] mm):
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29
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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30 cdef double z
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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31 cdef double zi
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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32 cdef unsigned int n = x.shape[0]
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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33 cdef unsigned int i
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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34 cdef unsigned int k
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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35 cdef unsigned int m
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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36 cdef np.ndarray[np.double_t, ndim=1] w = np.empty([n + 1, ], np.double)
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37 cdef np.ndarray[np.double_t, ndim=1] mvar = np.empty([mm.shape[0], ], np.double)
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38
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39 mvar.fill(np.nan)
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40
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41 w[0] = 0.0
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42 for i in range(n):
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43 w[i + 1] = w[i] + x[i]
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44
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45 for k, m in enumerate(mm):
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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46 if 3 * m > n:
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47 continue
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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48 z = 0
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49 for i in range(n - 3 * m + 1):
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50 zi = (w[i + 3 * m] - 3 * w[i + 2 * m] + 3 * w[i + m] - w[i]) / m
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51 z += zi * zi
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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52 mvar[k] = z / (2.0 * m*m * (n - 3 * m + 1))
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53
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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54 return mvar
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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55
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56
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57 @cython.boundscheck(False)
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58 @cython.wraparound(False)
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59 @cython.cdivision(True)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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60 def _xavar(double[:] x, int[:] mm):
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61
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62 cdef double z
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63 cdef double zi
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64 cdef unsigned int n = x.shape[0]
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65 cdef unsigned int i
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66 cdef unsigned int k
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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67 cdef unsigned int m
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68 cdef int N
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69
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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70 r = np.empty([mm.shape[0], ], np.double)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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71 r.fill(np.nan)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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72 cdef double[::1] avar = r
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73
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74 for k, m in enumerate(mm):
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75 if m < 1:
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76 continue
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77 N = (n // m) - 2
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78 if N < 1:
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79 continue
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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80 z = 0
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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81 for i in range(N):
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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82 zi = x[i * m] - 2 * x[(i + 1) * m] + x[(i + 2) * m]
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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83 z += (zi * zi)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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84 avar[k] = z / (2.0 * m*m * N)
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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85
Daniele Nicolodi <daniele.nicolodi@obspm.fr>
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86 return r