annotate python/utils.py @ 1023:a13f47c8931d

work on processing large datasets (generate speed data)
author Nicolas Saunier <nicolas.saunier@polymtl.ca>
date Wed, 06 Jun 2018 16:51:15 -0400
parents b7689372c0ec
children
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1 #! /usr/bin/env python
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2 # -*- coding: utf-8 -*-
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3 ''' Generic utilities.'''
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4
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5 import matplotlib.pyplot as plt
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6 from datetime import time, datetime
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7 from argparse import ArgumentTypeError
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8 from pathlib import Path
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9 from math import sqrt, ceil, floor
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10 from scipy.stats import kruskal, shapiro, lognorm
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11 from scipy.spatial import distance
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12 from scipy.sparse import dok_matrix
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13 from numpy import zeros, array, exp, sum as npsum, int as npint, arange, cumsum, mean, median, percentile, isnan, ones, convolve, dtype, isnan, NaN, ma, isinf, savez, load as npload, log
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15
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16 datetimeFormat = "%Y-%m-%d %H:%M:%S"
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17
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18 sjcamDatetimeFormat = "%Y_%m%d_%H%M%S"#2017_0626_143720
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20 #########################
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21 # Strings
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22 #########################
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23
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24 def upperCaseFirstLetter(s):
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25 words = s.split(' ')
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26 lowerWords = [w[0].upper()+w[1:].lower() for w in words]
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27 return ' '.join(lowerWords)
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28
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29 class TimeConverter:
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30 def __init__(self, datetimeFormat = datetimeFormat):
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31 self.datetimeFormat = datetimeFormat
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32
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33 def convert(self, s):
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34 try:
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35 return datetime.strptime(s, self.datetimeFormat)
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36 except ValueError:
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37 msg = "Not a valid date: '{0}'.".format(s)
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38 raise ArgumentTypeError(msg)
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39
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40 #########################
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41 # Enumerations
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42 #########################
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43
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44 def inverseEnumeration(l):
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45 'Returns the dictionary that provides for each element in the input list its index in the input list'
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46 result = {}
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47 for i,x in enumerate(l):
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48 result[x] = i
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49 return result
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50
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51 #########################
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52 # Simple statistics
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53 #########################
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54
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55 def logNormalMeanVar(loc, scale):
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56 '''location and scale are respectively the mean and standard deviation of the normal in the log-normal distribution
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57 https://en.wikipedia.org/wiki/Log-normal_distribution
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58
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59 same as lognorm.stats(scale, 0, exp(loc))'''
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60 mean = exp(loc+(scale**2)/2)
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61 var = (exp(scale**2)-1)*exp(2*loc+scale**2)
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62 return mean, var
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63
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64 def fitLogNormal(x):
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65 'returns the fitted location and scale of the lognormal (general definition)'
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66 shape, loc, scale = lognorm.fit(x, floc=0.)
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67 return log(scale), shape
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68
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69 def sampleSize(stdev, tolerance, percentConfidence, nRoundingDigits = None, printLatex = False):
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70 from scipy.stats.distributions import norm
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71 if nRoundingDigits is None:
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72 k = round(norm.ppf(0.5+percentConfidence/200., 0, 1), 2) # 1.-(100-percentConfidence)/200.
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73 else:
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74 k = round(norm.ppf(0.5+percentConfidence/200., 0, 1), nRoundingDigits)
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75 stdev = round(stdev, nRoundingDigits)
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76 tolerance = round(tolerance, nRoundingDigits)
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77 if printLatex:
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78 print('$z_{{{}}}^2\\frac{{s^2}}{{e^2}}={}^2\\frac{{{}^2}}{{{}^2}}$'.format(0.5+percentConfidence/200.,k, stdev, tolerance))
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79 return (k*stdev/tolerance)**2
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80
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81 def confidenceInterval(mean, stdev, nSamples, percentConfidence, trueStd = True, printLatex = False):
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82 '''if trueStd, use normal distribution, otherwise, Student
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83
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84 Use otherwise t.interval or norm.interval for the boundaries
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85 ex: norm.interval(0.95)
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86 t.interval(0.95, nSamples-1)'''
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87 from scipy.stats.distributions import norm, t
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88 if trueStd:
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89 k = round(norm.ppf(0.5+percentConfidence/200., 0, 1), 2)
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90 else: # use Student
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91 k = round(t.ppf(0.5+percentConfidence/200., nSamples-1), 2)
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92 e = k*stdev/sqrt(nSamples)
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93 if printLatex:
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94 print('${0} \pm {1}\\frac{{{2}}}{{\sqrt{{{3}}}}}$'.format(mean, k, stdev, nSamples))
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95 return mean-e, mean+e
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96
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97 def computeChi2(expected, observed):
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98 '''Returns the Chi2 statistics'''
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99 return sum([((e-o)*(e-o))/float(e) for e, o in zip(expected, observed)])
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100
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101 class DistributionSample(object):
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102 def nSamples(self):
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103 return sum(self.counts)
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104
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105 def cumulativeDensityFunction(sample, normalized = False):
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106 '''Returns the cumulative density function of the sample of a random variable'''
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107 xaxis = sorted(sample)
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108 counts = arange(1,len(sample)+1) # dtype = float
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109 if normalized:
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110 counts /= float(len(sample))
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111 return xaxis, counts
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112
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113 class DiscreteDistributionSample(DistributionSample):
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114 '''Class to represent a sample of a distribution for a discrete random variable'''
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115 def __init__(self, categories, counts):
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116 self.categories = categories
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117 self.counts = counts
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118
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119 def mean(self):
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120 result = [float(x*y) for x,y in zip(self.categories, self.counts)]
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121 return npsum(result)/self.nSamples()
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122
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123 def var(self, mean = None):
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124 if not mean:
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125 m = self.mean()
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126 else:
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127 m = mean
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128 result = 0.
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129 squares = [float((x-m)*(x-m)*y) for x,y in zip(self.categories, self.counts)]
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130 return npsum(squares)/(self.nSamples()-1)
85
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diff changeset
131
86
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diff changeset
132 def referenceCounts(self, probability):
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133 '''probability is a function that returns the probability of the random variable for the category values'''
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parents: 85
diff changeset
134 refProba = [probability(c) for c in self.categories]
672
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diff changeset
135 refProba[-1] = 1-npsum(refProba[:-1])
86
f03ec4697a09 corrected discrete distribution
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diff changeset
136 refCounts = [r*self.nSamples() for r in refProba]
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diff changeset
137 return refCounts, refProba
85
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138
749
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diff changeset
139 class ContinuousDistributionSample(DistributionSample):
31
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diff changeset
140 '''Class to represent a sample of a distribution for a continuous random variable
76
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diff changeset
141 with the number of observations for each interval
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diff changeset
142 intervals (categories variable) are defined by their left limits, the last one being the right limit
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143 categories contain therefore one more element than the counts'''
35
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144 def __init__(self, categories, counts):
276
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diff changeset
145 # todo add samples for initialization and everything to None? (or setSamples?)
35
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146 self.categories = categories
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147 self.counts = counts
31
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148
749
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diff changeset
149 @staticmethod
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150 def generate(sample, categories):
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151 if min(sample) < min(categories):
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152 print('Sample has lower min than proposed categories ({}, {})'.format(min(sample), min(categories)))
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153 if max(sample) > max(categories):
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diff changeset
154 print('Sample has higher max than proposed categories ({}, {})'.format(max(sample), max(categories)))
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155 dist = ContinuousDistributionSample(sorted(categories), [0]*(len(categories)-1))
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156 for s in sample:
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157 i = 0
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158 while i<len(dist.categories) and dist.categories[i] <= s:
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159 i += 1
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160 if i <= len(dist.counts):
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parents: 742
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161 dist.counts[i-1] += 1
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162 #print('{} in {} {}'.format(s, dist.categories[i-1], dist.categories[i]))
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163 else:
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164 print('Element {} is not in the categories'.format(s))
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165 return dist
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166
35
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167 def mean(self):
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168 result = 0.
76
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diff changeset
169 for i in range(len(self.counts)-1):
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diff changeset
170 result += self.counts[i]*(self.categories[i]+self.categories[i+1])/2
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diff changeset
171 return result/self.nSamples()
35
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172
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173 def var(self, mean = None):
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parents: 32
diff changeset
174 if not mean:
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parents: 32
diff changeset
175 m = self.mean()
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parents: 32
diff changeset
176 else:
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parents: 32
diff changeset
177 m = mean
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diff changeset
178 result = 0.
76
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diff changeset
179 for i in range(len(self.counts)-1):
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diff changeset
180 mid = (self.categories[i]+self.categories[i+1])/2
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diff changeset
181 result += self.counts[i]*(mid - m)*(mid - m)
35
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diff changeset
182 return result/(self.nSamples()-1)
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diff changeset
183
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parents: 32
diff changeset
184 def referenceCounts(self, cdf):
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parents: 32
diff changeset
185 '''cdf is a cumulative distribution function
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parents: 32
diff changeset
186 returning the probability of the variable being less that x'''
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parents: 32
diff changeset
187 # refCumulativeCounts = [0]#[cdf(self.categories[0][0])]
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parents: 32
diff changeset
188 # for inter in self.categories:
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parents: 32
diff changeset
189 # refCumulativeCounts.append(cdf(inter[1]))
76
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diff changeset
190 refCumulativeCounts = [cdf(x) for x in self.categories[1:-1]]
35
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parents: 32
diff changeset
191
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parents: 32
diff changeset
192 refProba = [refCumulativeCounts[0]]
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parents: 32
diff changeset
193 for i in xrange(1,len(refCumulativeCounts)):
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parents: 32
diff changeset
194 refProba.append(refCumulativeCounts[i]-refCumulativeCounts[i-1])
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parents: 32
diff changeset
195 refProba.append(1-refCumulativeCounts[-1])
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parents: 32
diff changeset
196 refCounts = [p*self.nSamples() for p in refProba]
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diff changeset
197
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parents: 32
diff changeset
198 return refCounts, refProba
31
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parents: 29
diff changeset
199
77
5e6cd36a991c added pretty print in empiricalDistribution
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parents: 76
diff changeset
200 def printReferenceCounts(self, refCounts=None):
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parents: 76
diff changeset
201 if refCounts:
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parents: 76
diff changeset
202 ref = refCounts
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parents: 76
diff changeset
203 else:
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parents: 76
diff changeset
204 ref = self.referenceCounts
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parents: 76
diff changeset
205 for i in xrange(len(ref[0])):
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
206 print('{0}-{1} & {2:0.3} & {3:0.3} \\\\'.format(self.categories[i],self.categories[i+1],ref[1][i], ref[0][i]))
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
207
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
208
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
209 #########################
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
210 # maths section
27
44689029a86f updated segmentIntersection and other
Nicolas Saunier <nico@confins.net>
parents: 24
diff changeset
211 #########################
24
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
212
433
d40ad901b272 added kernel smoothing
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parents: 423
diff changeset
213 # def kernelSmoothing(sampleX, X, Y, weightFunc, halfwidth):
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parents: 423
diff changeset
214 # '''Returns a smoothed weighted version of Y at the predefined values of sampleX
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parents: 423
diff changeset
215 # Sum_x weight(sample_x,x) * y(x)'''
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parents: 423
diff changeset
216 # from numpy import zeros, array
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parents: 423
diff changeset
217 # smoothed = zeros(len(sampleX))
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parents: 423
diff changeset
218 # for i,x in enumerate(sampleX):
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parents: 423
diff changeset
219 # weights = array([weightFunc(x,xx, halfwidth) for xx in X])
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parents: 423
diff changeset
220 # if sum(weights)>0:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
221 # smoothed[i] = sum(weights*Y)/sum(weights)
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
222 # else:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
223 # smoothed[i] = 0
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
224 # return smoothed
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
225
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
226 def kernelSmoothing(x, X, Y, weightFunc, halfwidth):
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parents: 423
diff changeset
227 '''Returns the smoothed estimate of (X,Y) at x
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
228 Sum_x weight(sample_x,x) * y(x)'''
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parents: 423
diff changeset
229 weights = array([weightFunc(x,observedx, halfwidth) for observedx in X])
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parents: 423
diff changeset
230 if sum(weights)>0:
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parents: 423
diff changeset
231 return sum(weights*Y)/sum(weights)
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parents: 423
diff changeset
232 else:
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parents: 423
diff changeset
233 return 0
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
234
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
235 def uniform(center, x, halfwidth):
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
236 if abs(center-x)<halfwidth:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
237 return 1.
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parents: 423
diff changeset
238 else:
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parents: 423
diff changeset
239 return 0.
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
240
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
241 def gaussian(center, x, halfwidth):
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
242 return exp(-((center-x)/halfwidth)**2/2)
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
243
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
244 def epanechnikov(center, x, halfwidth):
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
245 diff = abs(center-x)
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
246 if diff<halfwidth:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
247 return 1.-(diff/halfwidth)**2
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parents: 423
diff changeset
248 else:
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parents: 423
diff changeset
249 return 0.
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
250
434
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
251 def triangular(center, x, halfwidth):
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
252 diff = abs(center-x)
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
253 if diff<halfwidth:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
254 return 1.-abs(diff/halfwidth)
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parents: 433
diff changeset
255 else:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
256 return 0.
433
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
257
518
0c86c73f3c09 median smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 511
diff changeset
258 def medianSmoothing(x, X, Y, halfwidth):
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parents: 511
diff changeset
259 '''Returns the media of Y's corresponding to X's in the interval [x-halfwidth, x+halfwidth]'''
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parents: 511
diff changeset
260 return median([y for observedx, y in zip(X,Y) if abs(x-observedx)<halfwidth])
0c86c73f3c09 median smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 511
diff changeset
261
521
3707eeb20f25 changed argMaxDict name to argmaxDict
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 518
diff changeset
262 def argmaxDict(d):
561
ee45c6eb6d49 added Mohamed Gomaa Mohamed function to smooth object trajectories
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 553
diff changeset
263 return max(d, key=d.get)
279
3af4c267a7bf generic simple LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 276
diff changeset
264
837
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
265 def deltaFrames(t1, t2, frameRate):
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parents: 749
diff changeset
266 '''Returns the number of frames between t1 and t2
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
267 positive if t1<=t2, negative otherwise'''
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
268 if t1 > t2:
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
269 return -(t1-t2).seconds*frameRate
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parents: 749
diff changeset
270 else:
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
271 return (t2-t1).seconds*frameRate
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
272
395
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
273 def framesToTime(nFrames, frameRate, initialTime = time()):
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
274 '''returns a datetime.time for the time in hour, minutes and seconds
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
275 initialTime is a datetime.time'''
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
276 seconds = int(floor(float(nFrames)/float(frameRate))+initialTime.hour*3600+initialTime.minute*60+initialTime.second)
261
4aa792cb0fa9 changing framesToTime to return a datetime.time
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 248
diff changeset
277 h = int(floor(seconds/3600.))
248
571ba5ed22e2 added utils for bus processing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 241
diff changeset
278 seconds = seconds - h*3600
261
4aa792cb0fa9 changing framesToTime to return a datetime.time
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 248
diff changeset
279 m = int(floor(seconds/60))
248
571ba5ed22e2 added utils for bus processing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 241
diff changeset
280 seconds = seconds - m*60
262
a048066bd20f correcting bug in framesToTime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 261
diff changeset
281 return time(h, m, seconds)
248
571ba5ed22e2 added utils for bus processing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 241
diff changeset
282
381
387cc0142211 script to replay event annotations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 376
diff changeset
283 def timeToFrames(t, frameRate):
387cc0142211 script to replay event annotations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 376
diff changeset
284 return frameRate*(t.hour*3600+t.minute*60+t.second)
387cc0142211 script to replay event annotations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 376
diff changeset
285
241
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
286 def sortXY(X,Y):
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
287 'returns the sorted (x, Y(x)) sorted on X'
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
288 D = {}
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
289 for x, y in zip(X,Y):
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
290 D[x]=y
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
291 xsorted = sorted(D.keys())
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
292 return xsorted, [D[x] for x in xsorted]
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
293
733
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
294 def compareLengthForSort(i, j):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
295 if len(i) < len(j):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
296 return -1
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
297 elif len(i) == len(j):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
298 return 0
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
299 else:
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
300 return 1
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
301
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
302 def sortByLength(instances, reverse = False):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
303 '''Returns a new list with the instances sorted by length (method __len__)
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
304 reverse is passed to sorted'''
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
305 return sorted(instances, key = len, reverse = reverse)
733
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
306
32
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
307 def ceilDecimals(v, nDecimals):
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
308 '''Rounds the number at the nth decimal
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
309 eg 1.23 at 0 decimal is 2, at 1 decimal is 1.3'''
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
310 tens = 10**nDecimals
32
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
311 return ceil(v*tens)/tens
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
312
152
74b1fc68d4df re-organized code to avoid cyclic python module dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 116
diff changeset
313 def inBetween(bound1, bound2, x):
698
8d99a9e16644 added clarification comments
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 689
diff changeset
314 'useful if one does not know the order of bound1/bound2'
569
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
315 return bound1 <= x <= bound2 or bound2 <= x <= bound1
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
316
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
317 def pointDistanceL2(x1,y1,x2,y2):
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
318 ''' Compute point-to-point distance (L2 norm, ie Euclidean distance)'''
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
319 return sqrt((x2-x1)**2+(y2-y1)**2)
24
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
320
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
321 def crossProduct(l1, l2):
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
322 return l1[0]*l2[1]-l1[1]*l2[0]
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
323
574
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
324 def cat_mvgavg(cat_list, halfWidth):
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
325 ''' Return a list of categories/values smoothed according to a window.
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
326 halfWidth is the search radius on either side'''
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
327 from copy import deepcopy
659
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
328 smoothed = deepcopy(cat_list)
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
329 for point in range(len(cat_list)):
574
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
330 lower_bound_check = max(0,point-halfWidth)
659
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
331 upper_bound_check = min(len(cat_list)-1,point+halfWidth+1)
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
332 window_values = cat_list[lower_bound_check:upper_bound_check]
574
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
333 smoothed[point] = max(set(window_values), key=window_values.count)
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
334 return smoothed
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
335
547
97c5fef5b2d6 corrected bugs
MohamedGomaa
parents: 521
diff changeset
336 def filterMovingWindow(inputSignal, halfWidth):
29
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
337 '''Returns an array obtained after the smoothing of the input by a moving average
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
338 The first and last points are copied from the original.'''
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
339 width = float(halfWidth*2+1)
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
340 win = ones(width,'d')
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
341 result = convolve(win/width,array(inputSignal),'same')
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
342 result[:halfWidth] = inputSignal[:halfWidth]
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
343 result[-halfWidth:] = inputSignal[-halfWidth:]
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
344 return result
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
345
199
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
346 def linearRegression(x, y, deg = 1, plotData = False):
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
347 '''returns the least square estimation of the linear regression of y = ax+b
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
348 as well as the plot'''
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
349 from numpy.lib.polynomial import polyfit
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
350 from numpy.core.multiarray import arange
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
351 coef = polyfit(x, y, deg)
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
352 if plotData:
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
353 def poly(x):
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
354 result = 0
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
355 for i in range(len(coef)):
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
356 result += coef[i]*x**(len(coef)-i-1)
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
357 return result
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
358 plt.plot(x, y, 'x')
199
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
359 xx = arange(min(x), max(x),(max(x)-min(x))/1000)
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
360 plt.plot(xx, [poly(z) for z in xx])
199
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
361 return coef
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
362
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
363 def correlation(data, correlationMethod = 'pearson', plotFigure = False, displayNames = None, figureFilename = None):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
364 '''Computes (and displays) the correlation matrix for a pandas DataFrame'''
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
365 columns = data.columns.tolist()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
366 for var in data.columns:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
367 uniqueValues = data[var].unique()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
368 if len(uniqueValues) == 1 or data.dtypes[var] == dtype('O') or (len(uniqueValues) == 2 and len(data.loc[~isnan(data[var]), var].unique()) == 1): # last condition: only one other value than nan
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
369 columns.remove(var)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
370 c=data[columns].corr(correlationMethod)
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
371 if plotFigure:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
372 fig = plt.figure(figsize=(4+0.4*c.shape[0], 0.4*c.shape[0]))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
373 fig.add_subplot(1,1,1)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
374 #plt.imshow(np.fabs(c), interpolation='none')
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
375 plt.imshow(c, vmin=-1., vmax = 1., interpolation='none', cmap = 'RdYlBu_r') # coolwarm
847
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
376 if displayNames is not None:
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
377 colnames = [displayNames.get(s.strip(), s.strip()) for s in columns]
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
378 else:
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
379 colnames = columns
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
380 #correlation.plot_corr(c, xnames = colnames, normcolor=True, title = filename)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
381 plt.xticks(range(len(colnames)), colnames, rotation=90)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
382 plt.yticks(range(len(colnames)), colnames)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
383 plt.tick_params('both', length=0)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
384 plt.subplots_adjust(bottom = 0.29)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
385 plt.colorbar()
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
386 plt.title('Correlation ({})'.format(correlationMethod))
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
387 plt.tight_layout()
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
388 if len(colnames) > 50:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
389 plt.subplots_adjust(left=.06)
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
390 if figureFilename is not None:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
391 plt.savefig(figureFilename, dpi = 150, transparent = True)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
392 return c
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
393
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
394 def addDummies(data, variables, allVariables = True):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
395 '''Add binary dummy variables for each value of a nominal variable
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
396 in a pandas DataFrame'''
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
397 newVariables = []
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
398 for var in variables:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
399 if var in data.columns and data.dtypes[var] == dtype('O') and len(data[var].unique()) > 2:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
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diff changeset
400 values = data[var].unique()
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
401 if not allVariables:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
402 values = values[:-1]
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
403 for val in values:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
404 if val is not NaN:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
405 newVariable = (var+'_{}'.format(val)).replace('.','').replace(' ','').replace('-','')
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
406 data[newVariable] = (data[var] == val)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
407 newVariables.append(newVariable)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
408 return newVariables
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
409
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
410 def kruskalWallis(data, dependentVariable, independentVariable, plotFigure = False, filenamePrefix = None, figureFileType = 'pdf', saveLatex = False, renameVariables = lambda s: s, kwCaption = ''):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
411 '''Studies the influence of (nominal) independent variable over the dependent variable
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
412
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
413 Makes tests if the conditional distributions are normal
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
414 using the Shapiro-Wilk test (in which case ANOVA could be used)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
415 Implements uses the non-parametric Kruskal Wallis test'''
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
416 tmp = data[data[independentVariable].notnull()]
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
417 independentVariableValues = sorted(tmp[independentVariable].unique().tolist())
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
418 if len(independentVariableValues) >= 2:
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
419 if saveLatex:
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
420 from storage import openCheck
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
421 out = openCheck(filenamePrefix+'-{}-{}.tex'.format(dependentVariable, independentVariable), 'w')
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
422 for x in independentVariableValues:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
423 print('Shapiro-Wilk normality test for {} when {}={}: {} obs'.format(dependentVariable,independentVariable, x, len(tmp.loc[tmp[independentVariable] == x, dependentVariable])))
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
424 if len(tmp.loc[tmp[independentVariable] == x, dependentVariable]) >= 3:
978
184f1dd307f9 corrected print and exception statements for Python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 973
diff changeset
425 print(shapiro(tmp.loc[tmp[independentVariable] == x, dependentVariable]))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
426 if plotFigure:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
427 plt.figure()
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
428 plt.boxplot([tmp.loc[tmp[independentVariable] == x, dependentVariable] for x in independentVariableValues])
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
429 plt.xticks(range(1,len(independentVariableValues)+1), independentVariableValues)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
430 plt.title('{} vs {}'.format(dependentVariable, independentVariable))
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
431 if filenamePrefix is not None:
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
432 plt.savefig(filenamePrefix+'-{}-{}.{}'.format(dependentVariable, independentVariable, figureFileType))
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
433 table = tmp.groupby([independentVariable])[dependentVariable].describe().unstack().sort(['50%'], ascending = False)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
434 table['count'] = table['count'].astype(int)
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
435 testResult = kruskal(*[tmp.loc[tmp[independentVariable] == x, dependentVariable] for x in independentVariableValues])
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
436 if saveLatex:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
437 out.write('\\begin{minipage}{\\linewidth}\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
438 +'\\centering\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
439 +'\\captionof{table}{'+(kwCaption.format(dependentVariable, independentVariable, *testResult))+'}\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
440 +table.to_latex(float_format = lambda x: '{:.3f}'.format(x)).encode('ascii')+'\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
441 +'\\end{minipage}\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
442 +'\\ \\vspace{0.5cm}\n')
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
443 else:
978
184f1dd307f9 corrected print and exception statements for Python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 973
diff changeset
444 print(table)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
445 return testResult
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
446 else:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
447 return None
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
448
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
449 def prepareRegression(data, dependentVariable, independentVariables, maxCorrelationThreshold, correlations, maxCorrelationP, correlationFunc, stdoutText = ['Removing {} (constant: {})', 'Removing {} (correlation {} with {})', 'Removing {} (no correlation: {}, p={})'], saveFiles = False, filenamePrefix = None, latexHeader = '', latexTable = None, latexFooter=''):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
450 '''Removes variables from candidate independent variables if
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
451 - if two independent variables are correlated (> maxCorrelationThreshold), one is removed
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
452 - if an independent variable is not correlated with the dependent variable (p>maxCorrelationP)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
453 Returns the remaining non-correlated variables, correlated with the dependent variable
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
454
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
455 correlationFunc is spearmanr or pearsonr from scipy.stats
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
456 text is the template to display for the two types of printout (see default): 3 elements if no saving to latex file, 8 otherwise
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
457
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
458 TODO: pass the dummies for nominal variables and remove if all dummies are correlated, or none is correlated with the dependentvariable'''
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
459 from copy import copy
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
460 from pandas import DataFrame
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
461 result = copy(independentVariables)
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
462 table1 = ''
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
463 table2 = {}
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
464 # constant variables
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
465 for var in independentVariables:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
466 uniqueValues = data[var].unique()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
467 if (len(uniqueValues) == 1) or (len(uniqueValues) == 2 and uniqueValues.dtype != dtype('O') and len(data.loc[~isnan(data[var]), var].unique()) == 1):
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
468 print(stdoutText[0].format(var, uniqueValues))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
469 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
470 table1 += latexTable[0].format(var, *uniqueValues)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
471 result.remove(var)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
472 # correlated variables
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
473 for v1 in copy(result):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
474 if v1 in correlations.index:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
475 for v2 in copy(result):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
476 if v2 != v1 and v2 in correlations.index:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
477 if abs(correlations.loc[v1, v2]) > maxCorrelationThreshold:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
478 if v1 in result and v2 in result:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
479 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
480 table1 += latexTable[1].format(v2, v1, correlations.loc[v1, v2])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
481 print(stdoutText[1].format(v2, v1, correlations.loc[v1, v2]))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
482 result.remove(v2)
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
483 # not correlated with dependent variable
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
484 table2['Correlations'] = []
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
485 table2['Valeurs p'] = []
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
486 for var in copy(result):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
487 if data.dtypes[var] != dtype('O'):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
488 cor, p = correlationFunc(data[dependentVariable], data[var])
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
489 if p > maxCorrelationP:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
490 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
491 table1 += latexTable[2].format(var, cor, p)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
492 print(stdoutText[2].format(var, cor, p))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
493 result.remove(var)
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
494 else:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
495 table2['Correlations'].append(cor)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
496 table2['Valeurs p'].append(p)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
497
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
498 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
499 from storage import openCheck
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
500 out = openCheck(filenamePrefix+'-removed-variables.tex', 'w')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
501 out.write(latexHeader)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
502 out.write(table1)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
503 out.write(latexFooter)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
504 out.close()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
505 out = openCheck(filenamePrefix+'-correlations.html', 'w')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
506 table2['Variables'] = [var for var in result if data.dtypes[var] != dtype('O')]
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
507 out.write(DataFrame(table2)[['Variables', 'Correlations', 'Valeurs p']].to_html(formatters = {'Correlations': lambda x: '{:.2f}'.format(x), 'Valeurs p': lambda x: '{:.3f}'.format(x)}, index = False))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
508 out.close()
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
509 return result
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
510
841
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
511 def saveDokMatrix(filename, m, lowerTriangle = False):
840
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
512 'Saves a dok_matrix using savez'
841
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
513 if lowerTriangle:
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
514 keys = [k for k in m if k[0] > k[1]]
841
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
515 savez(filename, shape = m.shape, keys = keys, values = [m[k[0],k[1]] for k in keys])
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
516 else:
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
517 savez(filename, shape = m.shape, keys = list(m.keys()), values = list(m.values()))
840
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
518
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
519 def loadDokMatrix(filename):
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
520 'Loads a dok_matrix saved using the above saveDokMatrix'
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
521 data = npload(filename)
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
522 m = dok_matrix(tuple(data['shape']))
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
523 for k, v in zip(data['keys'], data['values']):
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
524 m[tuple(k)] = v
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
525 return m
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
526
1023
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
527 def aggregationFunction(funcStr, centile = 50):
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
528 '''return the numpy function corresponding to funcStr
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
529 centile can be a list of centiles to compute at once, eg [25, 50, 75] for the 3 quartiles'''
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
530 if funcStr == 'median':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
531 return median
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
532 elif funcStr == 'mean':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
533 return mean
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
534 elif funcStr == 'centile':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
535 return lambda x: percentile(x, centile)
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
536 elif funcStr == '85centile':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
537 return lambda x: percentile(x, 85)
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
538 else:
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
539 print('Unknown aggregation method: {}'.format(funcStr))
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
540 return None
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
541
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
542 #########################
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
543 # regression analysis using statsmodels (and pandas)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
544 #########################
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
545
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
546 # TODO make class for experiments?
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
547 # TODO add tests with public dataset downloaded from Internet (IRIS et al)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
548 def modelString(experiment, dependentVariable, independentVariables):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
549 return dependentVariable+' ~ '+' + '.join([independentVariable for independentVariable in independentVariables if experiment[independentVariable]])
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
550
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
551 def runModel(experiment, data, dependentVariable, independentVariables, regressionType = 'ols'):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
552 import statsmodels.formula.api as smf
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
553 modelStr = modelString(experiment, dependentVariable, independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
554 if regressionType == 'ols':
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
555 model = smf.ols(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
556 elif regressionType == 'gls':
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
557 model = smf.gls(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
558 elif regressionType == 'rlm':
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
559 model = smf.rlm(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
560 else:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
561 print('Unknown regression type {}. Exiting'.format(regressionType))
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
562 import sys
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
563 sys.exit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
564 return model.fit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
565
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
566 def runModels(experiments, data, dependentVariable, independentVariables, regressionType = 'ols'):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
567 '''Runs several models and stores 3 statistics
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
568 adjusted R2, condition number (should be small, eg < 1000)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
569 and p-value for Shapiro-Wilk test of residual normality'''
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
570 for i,experiment in experiments.iterrows():
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
571 if experiment[independentVariables].any():
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
572 results = runModel(experiment, data, dependentVariable, independentVariables, regressionType = 'ols')
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
573 experiments.loc[i,'r2adj'] = results.rsquared_adj
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
574 experiments.loc[i,'condNum'] = results.condition_number
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
575 experiments.loc[i, 'shapiroP'] = shapiro(results.resid)[1]
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
576 experiments.loc[i,'nobs'] = int(results.nobs)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
577 return experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
578
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
579 def generateExperiments(independentVariables):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
580 '''Generates all possible models for including or not each independent variable'''
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
581 from pandas import DataFrame
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
582 experiments = {}
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
583 nIndependentVariables = len(independentVariables)
669
df6be882f325 bug corrected
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 668
diff changeset
584 if nIndependentVariables != len(set(independentVariables)):
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
585 print("Duplicate variables. Exiting")
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
586 import sys
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
587 sys.exit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
588 nModels = 2**nIndependentVariables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
589 for i,var in enumerate(independentVariables):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
590 pattern = [False]*(2**i)+[True]*(2**i)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
591 experiments[var] = pattern*(2**(nIndependentVariables-i-1))
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
592 experiments = DataFrame(experiments)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
593 experiments['r2adj'] = 0.
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
594 experiments['condNum'] = NaN
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
595 experiments['shapiroP'] = -1
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
596 experiments['nobs'] = -1
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
597 return experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
598
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
599 def findBestModel(data, dependentVariable, independentVariables, regressionType = 'ols', nProcesses = 1):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
600 '''Generates all possible model with the independentVariables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
601 and runs them, saving the results in experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
602 with multiprocess option'''
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
603 from pandas import concat
671
849f5f8bf4b9 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 670
diff changeset
604 from multiprocessing import Pool
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
605 experiments = generateExperiments(independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
606 nModels = len(experiments)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
607 print("Running {} models with {} processes".format(nModels, nProcesses))
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
608 print("IndependentVariables: {}".format(independentVariables))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
609 if nProcesses == 1:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
610 return runModels(experiments, data, dependentVariable, independentVariables, regressionType)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
611 else:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
612 pool = Pool(processes = nProcesses)
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
613 chunkSize = int(ceil(nModels/nProcesses))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
614 jobs = [pool.apply_async(runModels, args = (experiments[i*chunkSize:(i+1)*chunkSize], data, dependentVariable, independentVariables, regressionType)) for i in range(nProcesses)]
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
615 return concat([job.get() for job in jobs])
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
616
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
617 def findBestModelFwd(data, dependentVariable, independentVariables, modelFunc, experiments = None):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
618 '''Forward search for best model (based on adjusted R2)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
619 Randomly starting with one variable and adding randomly variables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
620 if they improve the model
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
621
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
622 The results are added to experiments if provided as argument
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
623 Storing in experiment relies on the index being the number equal
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
624 to the binary code derived from the independent variables'''
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
625 from numpy.random import permutation as nppermutation
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
626 if experiments is None:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
627 experiments = generateExperiments(independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
628 nIndependentVariables = len(independentVariables)
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
629 permutation = nppermutation(list(range(nIndependentVariables)))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
630 variableMapping = {j: independentVariables[i] for i,j in enumerate(permutation)}
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
631 print('Tested variables '+', '.join([variableMapping[i] for i in range(nIndependentVariables)]))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
632 bestModel = [False]*nIndependentVariables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
633 currentVarNum = 0
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
634 currentR2Adj = 0.
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
635 for currentVarNum in range(nIndependentVariables):
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
636 currentModel = [i for i in bestModel]
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
637 currentModel[currentVarNum] = True
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
638 rowIdx = sum([0]+[2**i for i in range(nIndependentVariables) if currentModel[permutation[i]]])
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
639 #print currentVarNum, sum(currentModel), ', '.join([independentVariables[i] for i in range(nIndependentVariables) if currentModel[permutation[i]]])
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
640 if experiments.loc[rowIdx, 'shapiroP'] < 0:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
641 modelStr = modelString(experiments.loc[rowIdx], dependentVariable, independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
642 model = modelFunc(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
643 results = model.fit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
644 experiments.loc[rowIdx, 'r2adj'] = results.rsquared_adj
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
645 experiments.loc[rowIdx, 'condNum'] = results.condition_number
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
646 experiments.loc[rowIdx, 'shapiroP'] = shapiro(results.resid)[1]
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
647 experiments.loc[rowIdx, 'nobs'] = int(results.nobs)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
648 if currentR2Adj < experiments.loc[rowIdx, 'r2adj']:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
649 currentR2Adj = experiments.loc[rowIdx, 'r2adj']
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
650 bestModel[currentVarNum] = True
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
651 return experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
652
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
653 def displayModelResults(results, model = None, plotFigures = True, filenamePrefix = None, figureFileType = 'pdf', text = {'title-shapiro': 'Shapiro-Wilk normality test for residuals: {:.2f} (p={:.3f})', 'true-predicted.xlabel': 'Predicted values', 'true-predicted.ylabel': 'True values', 'residuals-predicted.xlabel': 'Predicted values', 'residuals-predicted.ylabel': 'Residuals'}):
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
654 import statsmodels.api as sm
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
655 '''Displays some model results
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
656
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
657 3 graphics, true-predicted, residuals-predicted, '''
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
658 print(results.summary())
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
659 shapiroResult = shapiro(results.resid)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
660 print(shapiroResult)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
661 if plotFigures:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
662 fig = plt.figure(figsize=(7,6.3*(2+int(model is not None))))
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
663 if model is not None:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
664 ax = fig.add_subplot(3,1,1)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
665 plt.plot(results.predict(), model.endog, 'x')
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
666 x=plt.xlim()
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
667 y=plt.ylim()
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
668 plt.plot([max(x[0], y[0]), min(x[1], y[1])], [max(x[0], y[0]), min(x[1], y[1])], 'r')
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
669 #plt.axis('equal')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
670 if text is not None:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
671 plt.title(text['title-shapiro'].format(*shapiroResult))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
672 #plt.title(text['true-predicted.title'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
673 plt.xlabel(text['true-predicted.xlabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
674 plt.ylabel(text['true-predicted.ylabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
675 fig.add_subplot(3,1,2, sharex = ax)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
676 plt.plot(results.predict(), results.resid, 'x')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
677 nextSubplotNum = 3
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
678 else:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
679 fig.add_subplot(2,1,1)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
680 plt.plot(results.predict(), results.resid, 'x')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
681 nextSubplotNum = 2
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
682 if text is not None:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
683 if model is None:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
684 plt.title(text['title-shapiro'].format(*shapiroResult))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
685 plt.xlabel(text['residuals-predicted.xlabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
686 plt.ylabel(text['residuals-predicted.ylabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
687 qqAx = fig.add_subplot(nextSubplotNum,1,nextSubplotNum)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
688 sm.qqplot(results.resid, fit = True, line = '45', ax = qqAx)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
689 plt.axis('equal')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
690 if text is not None and 'qqplot.xlabel' in text:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
691 plt.xlabel(text['qqplot.xlabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
692 plt.ylabel(text['qqplot.ylabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
693 plt.tight_layout()
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
694 if filenamePrefix is not None:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
695 from storage import openCheck
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
696 out = openCheck(filenamePrefix+'-coefficients.html', 'w')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
697 out.write(results.summary().as_html())
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
698 plt.savefig(filenamePrefix+'-model-results.'+figureFileType)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
699
27
44689029a86f updated segmentIntersection and other
Nicolas Saunier <nico@confins.net>
parents: 24
diff changeset
700 #########################
455
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
701 # iterable section
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
702 #########################
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
703
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
704 def mostCommon(L):
456
825e5d49325d slight update
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 455
diff changeset
705 '''Returns the most frequent element in a iterable
825e5d49325d slight update
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 455
diff changeset
706
825e5d49325d slight update
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 455
diff changeset
707 taken from http://stackoverflow.com/questions/1518522/python-most-common-element-in-a-list'''
455
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
708 from itertools import groupby
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
709 from operator import itemgetter
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
710 # get an iterable of (item, iterable) pairs
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
711 SL = sorted((x, i) for i, x in enumerate(L))
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
712 # print 'SL:', SL
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
713 groups = groupby(SL, key=itemgetter(0))
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
714 # auxiliary function to get "quality" for an item
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
715 def _auxfun(g):
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
716 item, iterable = g
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
717 count = 0
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
718 min_index = len(L)
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
719 for _, where in iterable:
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
720 count += 1
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
721 min_index = min(min_index, where)
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
722 # print 'item %r, count %r, minind %r' % (item, count, min_index)
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
723 return count, -min_index
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
724 # pick the highest-count/earliest item
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
725 return max(groups, key=_auxfun)[0]
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
726
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
727 #########################
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
728 # sequence section
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
729 #########################
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
730
665
15e244d2a1b5 corrected bug with circular import for VideoFilenameAddable, moved to base module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 659
diff changeset
731 class LCSS(object):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
732 '''Class that keeps the LCSS parameters
686
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
733 and puts together the various computations
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
734
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
735 the methods with names starting with _ are not to be shadowed
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
736 in child classes, who will shadow the other methods,
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
737 ie compute and computeXX methods'''
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
738 def __init__(self, similarityFunc = None, metric = None, epsilon = None, delta = float('inf'), aligned = False, lengthFunc = min):
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
739 '''One should provide either a similarity function
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
740 that indicates (return bool) whether elements in the compares lists are similar
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
741
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
742 eg distance(p1, p2) < epsilon
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
743
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
744 or a type of metric usable in scipy.spatial.distance.cdist with an epsilon'''
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
745 if similarityFunc is None and metric is None:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
746 print("No way to compute LCSS, similarityFunc and metric are None. Exiting")
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
747 import sys
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
748 sys.exit()
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
749 elif metric is not None and epsilon is None:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
750 print("Please provide a value for epsilon if using a cdist metric. Exiting")
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
751 import sys
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
752 sys.exit()
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
753 else:
741
5b91b8d97cf3 corrected bug
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 739
diff changeset
754 if similarityFunc is None and metric is not None and not isinf(delta):
737
fb60b54e1041 added warning for finite delta
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 733
diff changeset
755 print('Warning: you are using a cdist metric and a finite delta, which will make probably computation slower than using the equivalent similarityFunc (since all pairwise distances will be computed by cdist).')
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
756 self.similarityFunc = similarityFunc
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
757 self.metric = metric
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
758 self.epsilon = epsilon
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
759 self.aligned = aligned
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
760 self.delta = delta
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
761 self.lengthFunc = lengthFunc
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
762 self.subSequenceIndices = [(0,0)]
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
763
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
764 def similarities(self, l1, l2, jshift=0):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
765 n1 = len(l1)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
766 n2 = len(l2)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
767 self.similarityTable = zeros((n1+1,n2+1), dtype = npint)
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
768 if self.similarityFunc is not None:
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
769 for i in range(1,n1+1):
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
770 for j in range(max(1,i-jshift-self.delta),min(n2,i-jshift+self.delta)+1):
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
771 if self.similarityFunc(l1[i-1], l2[j-1]):
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
772 self.similarityTable[i,j] = self.similarityTable[i-1,j-1]+1
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
773 else:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
774 self.similarityTable[i,j] = max(self.similarityTable[i-1,j], self.similarityTable[i,j-1])
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
775 elif self.metric is not None:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
776 similarElements = distance.cdist(l1, l2, self.metric) <= self.epsilon
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
777 for i in range(1,n1+1):
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
778 for j in range(max(1,i-jshift-self.delta),min(n2,i-jshift+self.delta)+1):
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
779 if similarElements[i-1, j-1]:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
780 self.similarityTable[i,j] = self.similarityTable[i-1,j-1]+1
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
781 else:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
782 self.similarityTable[i,j] = max(self.similarityTable[i-1,j], self.similarityTable[i,j-1])
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
783
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
784
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
785 def subSequence(self, i, j):
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
786 '''Returns the subsequence of two sequences
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
787 http://en.wikipedia.org/wiki/Longest_common_subsequence_problem'''
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
788 if i == 0 or j == 0:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
789 return []
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
790 elif self.similarityTable[i][j] == self.similarityTable[i][j-1]:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
791 return self.subSequence(i, j-1)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
792 elif self.similarityTable[i][j] == self.similarityTable[i-1][j]:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
793 return self.subSequence(i-1, j)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
794 else:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
795 return self.subSequence(i-1, j-1) + [(i-1,j-1)]
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
796
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
797 def _compute(self, _l1, _l2, computeSubSequence = False):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
798 '''returns the longest common subsequence similarity
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
799 l1 and l2 should be the right format
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
800 eg list of tuple points for cdist
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
801 or elements that can be compare using similarityFunc
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
802
607
84690dfe5560 add some functions for behaviour analysis
MohamedGomaa
parents: 574
diff changeset
803 if aligned, returns the best matching if using a finite delta by shifting the series alignments
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
804 '''
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
805 if len(_l2) < len(_l1): # l1 is the shortest
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
806 l1 = _l2
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
807 l2 = _l1
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
808 revertIndices = True
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
809 else:
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
810 l1 = _l1
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
811 l2 = _l2
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
812 revertIndices = False
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
813 n1 = len(l1)
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
814 n2 = len(l2)
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
815
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
816 if self.aligned:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
817 lcssValues = {}
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
818 similarityTables = {}
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
819 for i in range(-n2-self.delta+1, n1+self.delta): # interval such that [i-shift-delta, i-shift+delta] is never empty, which happens when i-shift+delta < 1 or when i-shift-delta > n2
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
820 self.similarities(l1, l2, i)
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
821 lcssValues[i] = self.similarityTable.max()
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
822 similarityTables[i] = self.similarityTable
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
823 #print self.similarityTable
521
3707eeb20f25 changed argMaxDict name to argmaxDict
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 518
diff changeset
824 alignmentShift = argmaxDict(lcssValues) # ideally get the medium alignment shift, the one that minimizes distance
389
6d26dcc7bba0 modifications to compute alignment for None indicators
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 381
diff changeset
825 self.similarityTable = similarityTables[alignmentShift]
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
826 else:
389
6d26dcc7bba0 modifications to compute alignment for None indicators
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 381
diff changeset
827 alignmentShift = 0
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
828 self.similarities(l1, l2)
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
829
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
830 # threshold values for the useful part of the similarity table are n2-n1-delta and n1-n2-delta
389
6d26dcc7bba0 modifications to compute alignment for None indicators
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 381
diff changeset
831 self.similarityTable = self.similarityTable[:min(n1, n2+alignmentShift+self.delta)+1, :min(n2, n1-alignmentShift+self.delta)+1]
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
832
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
833 if computeSubSequence:
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
834 self.subSequenceIndices = self.subSequence(self.similarityTable.shape[0]-1, self.similarityTable.shape[1]-1)
371
924e38c9f70e work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 370
diff changeset
835 if revertIndices:
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
836 self.subSequenceIndices = [(j,i) for i,j in self.subSequenceIndices]
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
837 return self.similarityTable[-1,-1]
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
838
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
839 def compute(self, l1, l2, computeSubSequence = False):
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
840 '''get methods are to be shadowed in child classes '''
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
841 return self._compute(l1, l2, computeSubSequence)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
842
375
2ea8584aa80a making indicator LCSS work
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 374
diff changeset
843 def computeAlignment(self):
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
844 return mean([j-i for i,j in self.subSequenceIndices])
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
845
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
846 def _computeNormalized(self, l1, l2, computeSubSequence = False):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
847 ''' compute the normalized LCSS
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
848 ie, the LCSS divided by the min or mean of the indicator lengths (using lengthFunc)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
849 lengthFunc = lambda x,y:float(x,y)/2'''
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
850 return float(self._compute(l1, l2, computeSubSequence))/self.lengthFunc(len(l1), len(l2))
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
851
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
852 def computeNormalized(self, l1, l2, computeSubSequence = False):
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
853 return self._computeNormalized(l1, l2, computeSubSequence)
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
854
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
855 def _computeDistance(self, l1, l2, computeSubSequence = False):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
856 ''' compute the LCSS distance'''
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
857 return 1-self._computeNormalized(l1, l2, computeSubSequence)
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
858
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
859 def computeDistance(self, l1, l2, computeSubSequence = False):
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
860 return self._computeDistance(l1, l2, computeSubSequence)
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
861
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
862 #########################
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
863 # plotting section
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
864 #########################
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
865
940
d8ab183a7351 verified motion prediction with prototypes at constant speed (test needed)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 876
diff changeset
866 def plotPolygon(poly, options = '', **kwargs):
332
a6ca86107f27 reorganized utils module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 324
diff changeset
867 'Plots shapely polygon poly'
a6ca86107f27 reorganized utils module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 324
diff changeset
868 from matplotlib.pyplot import plot
940
d8ab183a7351 verified motion prediction with prototypes at constant speed (test needed)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 876
diff changeset
869 x,y = poly.exterior.xy
d8ab183a7351 verified motion prediction with prototypes at constant speed (test needed)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 876
diff changeset
870 plot(x, y, options, **kwargs)
332
a6ca86107f27 reorganized utils module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 324
diff changeset
871
324
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
872 def stepPlot(X, firstX, lastX, initialCount = 0, increment = 1):
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
873 '''for each value in X, increment by increment the initial count
297
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
874 returns the lists that can be plotted
324
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
875 to obtain a step plot increasing by one for each value in x, from first to last value
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
876 firstX and lastX should be respectively smaller and larger than all elements in X'''
297
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
877
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
878 sortedX = []
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
879 counts = [initialCount]
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
880 for x in sorted(X):
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
881 sortedX += [x,x]
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
882 counts.append(counts[-1])
324
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
883 counts.append(counts[-1]+increment)
297
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
884 counts.append(counts[-1])
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
885 return [firstX]+sortedX+[lastX], counts
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
886
665
15e244d2a1b5 corrected bug with circular import for VideoFilenameAddable, moved to base module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 659
diff changeset
887 class PlottingPropertyValues(object):
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
888 def __init__(self, values):
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
889 self.values = values
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
890
116
2bf5b76320c0 moved intersection plotting and added markers for scatter plots
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 115
diff changeset
891 def __getitem__(self, i):
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
892 return self.values[i%len(self.values)]
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
893
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
894 markers = PlottingPropertyValues(['+', '*', ',', '.', 'x', 'D', 's', 'o'])
116
2bf5b76320c0 moved intersection plotting and added markers for scatter plots
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 115
diff changeset
895 scatterMarkers = PlottingPropertyValues(['s','o','^','>','v','<','d','p','h','8','+','x'])
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
896
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
897 linestyles = PlottingPropertyValues(['-', '--', '-.', ':'])
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
898
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
899 colors = PlottingPropertyValues('brgmyck') # 'w'
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
900
990
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
901 def monochromeCycler(withMarker = False):
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
902 from cycler import cycler
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
903 if withMarker:
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
904 monochrome = (cycler('color', ['k']) * cycler('linestyle', ['-', '--', ':', '-.']) * cycler('marker', ['^',',', '.']))
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
905 else:
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
906 monochrome = (cycler('color', ['k']) * cycler('linestyle', ['-', '--', ':', '-.']))
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
907 plt.rc('axes', prop_cycle=monochrome)
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
908
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
909 def plotIndicatorMap(indicatorMap, squareSize, masked = True, defaultValue=-1):
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
910 from matplotlib.pyplot import pcolor
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
911 coords = array(list(indicatorMap.keys()))
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
912 minX = min(coords[:,0])
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
913 minY = min(coords[:,1])
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
914 X = arange(minX, max(coords[:,0])+1.1)*squareSize
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
915 Y = arange(minY, max(coords[:,1])+1.1)*squareSize
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
916 C = defaultValue*ones((len(Y), len(X)))
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
917 for k,v in indicatorMap.items():
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
918 C[k[1]-minY,k[0]-minX] = v
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
919 if masked:
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
920 pcolor(X, Y, ma.masked_where(C==defaultValue,C))
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
921 else:
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
922 pcolor(X, Y, C)
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
923
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
924 #########################
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
925 # Data download
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
926 #########################
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
927
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
928 def downloadECWeather(stationID, years, months = [], outputDirectoryname = '.', english = True):
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
929 '''Downloads monthly weather data from Environment Canada
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
930 If month is provided (number 1 to 12), it means hourly data for the whole month
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
931 Otherwise, means the data for each day, for the whole year
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
932
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
933 Example: MONTREAL MCTAVISH 10761
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
934 MONTREALPIERRE ELLIOTT TRUDEAU INTL A 5415
856
e310577cc0b8 updated function (url) for weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 855
diff changeset
935 see ftp://client_climate@ftp.tor.ec.gc.ca/Pub/Get_More_Data_Plus_de_donnees/Station%20Inventory%20EN.csv
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
936
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
937 To get daily data for 2010 and 2011, downloadECWeather(10761, [2010,2011], [], '/tmp')
973
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
938 To get hourly data for 2009 and 2012, January, March and October, downloadECWeather(10761, [2009,2012], [1,3,10], '/tmp')
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
939
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
940 for annee in `seq 2016 2017`;do wget --content-disposition "http://climat.meteo.gc.ca/climate_data/bulk_data_f.html?format=csv&stationID=10761&Year=${annee}&timeframe=2&submit=++T%C3%A9l%C3%A9charger+%0D%0Ades+donn%C3%A9es" ;done
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
941 for annee in `seq 2016 2017`;do for mois in `seq 1 12`;do wget --content-disposition "http://climat.meteo.gc.ca/climate_data/bulk_data_f.html?format=csv&stationID=10761&Year=${annee}&Month=${mois}&timeframe=1&submit=++T%C3%A9l%C3%A9charger+%0D%0Ades+donn%C3%A9es" ;done;done
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
942 '''
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
943 import urllib.request
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
944 if english:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
945 language = 'e'
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
946 else:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
947 language = 'f'
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
948 if len(months) == 0:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
949 timeFrame = 2
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
950 months = [1]
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
951 else:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
952 timeFrame = 1
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
953
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
954 for year in years:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
955 for month in months:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
956 outFilename = '{}/{}-{}'.format(outputDirectoryname, stationID, year)
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
957 if timeFrame == 1:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
958 outFilename += '-{}-hourly'.format(month)
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
959 else:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
960 outFilename += '-daily'
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
961 outFilename += '.csv'
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
962 url = urllib.request.urlretrieve('http://climate.weather.gc.ca/climate_data/bulk_data_{}.html?format=csv&stationID={}&Year={}&Month={}&Day=1&timeframe={}&submit=Download+Data'.format(language, stationID, year, month, timeFrame), outFilename)
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
963
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
964 #########################
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
965 # File I/O
27
44689029a86f updated segmentIntersection and other
Nicolas Saunier <nico@confins.net>
parents: 24
diff changeset
966 #########################
24
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
967
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
968 def removeExtension(filename, delimiter = '.'):
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
969 '''Returns the filename minus the extension (all characters after last .)'''
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
970 i = filename.rfind(delimiter)
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
971 if i>0:
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
972 return filename[:i]
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
973 else:
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
974 return filename
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
975
969
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
976 def getExtension(filename, delimiter = '.'):
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
977 '''Returns the filename minus the extension (all characters after last .)'''
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
978 i = filename.rfind(delimiter)
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
979 if i>0:
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
980 return filename[i+1:]
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
981 else:
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
982 return ''
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
983
46
b5d007612e16 added filename util
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 45
diff changeset
984 def cleanFilename(s):
b5d007612e16 added filename util
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 45
diff changeset
985 'cleans filenames obtained when contatenating figure characteristics'
739
25e78d756823 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 737
diff changeset
986 return s.replace(' ','-').replace('.','').replace('/','-').replace(',','')
46
b5d007612e16 added filename util
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 45
diff changeset
987
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
988 def getRelativeFilename(parentPath, filename):
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
989 'Returns filename if absolute, otherwise parentPath/filename as string'
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
990 filePath = Path(filename)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
991 if filePath.is_absolute():
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
992 return filename
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
993 else:
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
994 return str(parentPath/filePath)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
995
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
996 def listfiles(dirname, extension, remove = False):
14
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
997 '''Returns the list of files with the extension in the directory dirname
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
998 If remove is True, the filenames are stripped from the extension'''
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
999 d = Path(dirname)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1000 if d.is_dir():
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1001 tmp = [str(f) for f in d.glob('*.extension')]
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1002 if remove:
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1003 return [removeExtension(f, extension) for f in tmp]
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1004 else:
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1005 return tmp
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1006 else:
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1007 print(dirname+' is not a directory')
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1008 return []
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1009
266
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1010 def mkdir(dirname):
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1011 'Creates a directory if it does not exist'
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1012 p = Path(dirname)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1013 if not p.exists():
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1014 p.mkdir()
266
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1015 else:
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1016 print(dirname+' already exists')
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1017
14
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1018 def removeFile(filename):
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1019 '''Deletes the file while avoiding raising an error
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1020 if the file does not exist'''
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1021 f = Path(filename)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1022 if (f.exists()):
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1023 f.unlink()
266
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1024 else:
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1025 print(filename+' does not exist')
14
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1026
42
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1027 def line2Floats(l, separator=' '):
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1028 '''Returns the list of floats corresponding to the string'''
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1029 return [float(x) for x in l.split(separator)]
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1030
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1031 def line2Ints(l, separator=' '):
1a2ac2d4f53a added loading of the rest of the data for objects
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1032 '''Returns the list of ints corresponding to the string'''
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1033 return [int(x) for x in l.split(separator)]
31
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1034
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1035 #########################
553
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1036 # Profiling
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1037 #########################
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1038
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1039 def analyzeProfile(profileFilename, stripDirs = True):
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1040 '''Analyze the file produced by cProfile
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1041
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1042 obtained by for example:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1043 - call in script (for main() function in script)
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1044 import cProfile, os
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1045 cProfile.run('main()', os.path.join(os.getcwd(),'main.profile'))
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1046
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1047 - or on the command line:
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1048 python -m cProfile [-o profile.bin] [-s sort] scriptfile [arg]'''
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1049 import pstats, os
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1050 p = pstats.Stats(os.path.join(os.pardir, profileFilename))
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
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1051 if stripDirs:
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1052 p.strip_dirs()
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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diff changeset
1053 p.sort_stats('time')
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1054 p.print_stats(.2)
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1055 #p.sort_stats('time')
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1056 # p.print_callees(.1, 'int_prediction.py:')
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1057 return p
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1058
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
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1059 #########################
31
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1060 # running tests
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Nicolas Saunier <nico@confins.net>
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1061 #########################
c000f37c316d moved tests to independent file, added chi2 computation
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1062
0
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diff changeset
1063 if __name__ == "__main__":
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1064 import doctest
2
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1065 import unittest
31
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1066 suite = doctest.DocFileSuite('tests/utils.txt')
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1067 #suite = doctest.DocTestSuite()
2
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1068 unittest.TextTestRunner().run(suite)
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1069 #doctest.testmod()
0
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1070 #doctest.testfile("example.txt")