1 | ############################################### |
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2 | ## PLANETOPLOT ## |
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3 | ## --> PPCOMPUTE ## |
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4 | ############################################### |
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5 | # python built-in librairies |
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6 | import os |
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7 | # added librairies |
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8 | import numpy as np |
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9 | import math as m |
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10 | import scipy.signal as sp_signal |
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11 | ############################################### |
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12 | |
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13 | ## first a useful function to find settings in a folder in PYTHONPATH |
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14 | def findset(whereset,string="planetoplot_v2"): |
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15 | # ... set a default whereset if it was set to None |
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16 | # ... default is in the planetoplot_v2 folder |
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17 | if whereset is None: |
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18 | for path in os.environ['PYTHONPATH'].split(os.pathsep): |
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19 | if string in path: whereset = path |
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20 | if whereset is None: |
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21 | print "!! ERROR !! "+ string + "not in $PYTHONPATH" |
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22 | print "--> either put it in $PYTHONPATH or change whereset" |
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23 | exit() |
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24 | # ... if the last / is missing put it |
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25 | if whereset[-1] != "/": whereset = whereset + "/" |
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26 | return whereset |
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27 | |
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28 | ########################## |
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29 | #### MAX MEAN MIN SUM #### |
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30 | ##################################### |
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31 | #### WITH SUPPORT FOR NaN VALUES #### |
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32 | ##################################### |
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33 | |
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34 | ## compute min |
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35 | ## author AS + AC |
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36 | def min (field,axis=None): |
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37 | if field is None: return None |
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38 | if type(field).__name__=='MaskedArray': |
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39 | field.set_fill_value(np.NaN) |
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40 | return np.ma.array(field).min(axis=axis) |
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41 | elif (np.isnan(np.sum(field)) and (type(field).__name__ not in 'MaskedArray')): |
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42 | return np.ma.masked_invalid(field).min(axis=axis) |
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43 | else: return np.array(field).min(axis=axis) |
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44 | |
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45 | ## compute max |
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46 | ## author AS + AC |
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47 | def max (field,axis=None): |
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48 | if field is None: return None |
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49 | if type(field).__name__=='MaskedArray': |
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50 | field.set_fill_value(np.NaN) |
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51 | return np.ma.array(field).max(axis=axis) |
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52 | elif (np.isnan(np.sum(field)) and (type(field).__name__ not in 'MaskedArray')): |
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53 | return np.ma.masked_invalid(field).max(axis=axis) |
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54 | else: return np.array(field).max(axis=axis) |
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55 | |
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56 | ## compute mean |
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57 | ## author AS + AC |
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58 | def mean (field,axis=None): |
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59 | if field is None: return None |
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60 | else: |
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61 | if type(field).__name__=='MaskedArray': |
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62 | field.set_fill_value(np.NaN) |
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63 | zout=np.ma.array(field).mean(axis=axis) |
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64 | if axis is not None: |
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65 | zout.set_fill_value(np.NaN) |
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66 | return zout.filled() |
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67 | else:return zout |
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68 | elif (np.isnan(np.sum(field)) and (type(field).__name__ not in 'MaskedArray')): |
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69 | zout=np.ma.masked_invalid(field).mean(axis=axis) |
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70 | if axis is not None: |
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71 | zout.set_fill_value([np.NaN]) |
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72 | return zout.filled() |
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73 | else:return zout |
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74 | else: |
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75 | return np.array(field).mean(axis=axis) |
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76 | |
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77 | ## compute sum |
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78 | ## author AS + AC |
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79 | def sum (field,axis=None): |
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80 | if field is None: return None |
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81 | else: |
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82 | if type(field).__name__=='MaskedArray': |
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83 | field.set_fill_value(np.NaN) |
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84 | zout=np.ma.array(field).sum(axis=axis) |
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85 | if axis is not None: |
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86 | zout.set_fill_value(np.NaN) |
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87 | return zout.filled() |
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88 | else:return zout |
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89 | elif (np.isnan(np.sum(field)) and (type(field).__name__ not in 'MaskedArray')): |
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90 | zout=np.ma.masked_invalid(field).sum(axis=axis) |
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91 | if axis is not None: |
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92 | zout.set_fill_value([np.NaN]) |
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93 | return zout.filled() |
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94 | else:return zout |
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95 | else: |
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96 | return np.array(field).sum(axis=axis) |
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97 | |
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98 | ################ |
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99 | #### SMOOTH #### |
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100 | ################ |
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101 | ### TBD: works with missing values |
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102 | |
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103 | ## Author: AS. uses gauss_kern and blur_image. |
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104 | def smooth2d(field, window=10): |
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105 | ## actually blur_image could work with different coeff on x and y |
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106 | if True in np.isnan(field): |
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107 | print "!! ERROR !! Smooth is a disaster with missing values. This will be fixed." |
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108 | exit() |
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109 | if window > 1: result = blur_image(field,int(window)) |
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110 | else: result = field |
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111 | return result |
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112 | |
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113 | ## FROM COOKBOOK http://www.scipy.org/Cookbook/SignalSmooth |
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114 | def gauss_kern(size, sizey=None): |
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115 | # Returns a normalized 2D gauss kernel array for convolutions |
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116 | size = int(size) |
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117 | if not sizey: |
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118 | sizey = size |
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119 | else: |
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120 | sizey = int(sizey) |
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121 | x, y = np.mgrid[-size:size+1, -sizey:sizey+1] |
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122 | g = np.exp(-(x**2/float(size)+y**2/float(sizey))) |
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123 | return g / g.sum() |
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124 | |
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125 | ## FROM COOKBOOK http://www.scipy.org/Cookbook/SignalSmooth |
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126 | def blur_image(im, n, ny=None) : |
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127 | # blurs the image by convolving with a gaussian kernel of typical size n. |
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128 | # The optional keyword argument ny allows for a different size in the y direction. |
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129 | g = gauss_kern(n, sizey=ny) |
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130 | improc = sp_signal.convolve(im, g, mode='same') |
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131 | return improc |
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132 | |
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133 | ## FROM COOKBOOK http://www.scipy.org/Cookbook/SignalSmooth |
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134 | def smooth1d(x,window=11,window_type='hanning'): |
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135 | """smooth the data using a window with requested size. |
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136 | This method is based on the convolution of a scaled window with the signal. |
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137 | The signal is prepared by introducing reflected copies of the signal |
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138 | (with the window size) in both ends so that transient parts are minimized |
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139 | in the begining and end part of the output signal. |
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140 | input: |
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141 | x: the input signal |
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142 | window: the dimension of the smoothing window; should be an odd integer |
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143 | window_type: the type of window from 'flat', 'hanning', 'hamming', 'bartlett', 'blackman' |
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144 | flat window will produce a moving average smoothing. |
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145 | output: |
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146 | the smoothed signal |
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147 | example: |
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148 | t=linspace(-2,2,0.1) |
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149 | x=sin(t)+randn(len(t))*0.1 |
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150 | y=smooth(x) |
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151 | see also: |
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152 | numpy.hanning, numpy.hamming, numpy.bartlett, numpy.blackman, numpy.convolve |
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153 | scipy.signal.lfilter |
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154 | TODO: the window parameter could be the window itself if an array instead of a string |
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155 | """ |
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156 | if True in np.isnan(field): |
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157 | print "!! ERROR !! Smooth is a disaster with missing values. This will be fixed." |
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158 | exit() |
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159 | x = np.array(x) |
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160 | if x.ndim != 1: |
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161 | raise ValueError, "smooth only accepts 1 dimension arrays." |
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162 | if x.size < window: |
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163 | raise ValueError, "Input vector needs to be bigger than window size." |
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164 | if window<3: |
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165 | return x |
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166 | if not window_type in ['flat', 'hanning', 'hamming', 'bartlett', 'blackman']: |
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167 | raise ValueError, "Window is on of 'flat', 'hanning', 'hamming', 'bartlett', 'blackman'" |
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168 | s=np.r_[x[window-1:0:-1],x,x[-1:-window:-1]] |
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169 | #print(len(s)) |
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170 | if window == 'flat': #moving average |
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171 | w=np.ones(window,'d') |
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172 | else: |
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173 | w=eval('np.'+window_type+'(window)') |
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174 | y=np.convolve(w/w.sum(),s,mode='valid') |
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175 | return y |
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176 | |
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177 | ######################## |
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178 | #### TIME CONVERTER #### |
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179 | ######################## |
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180 | |
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181 | # mars_sol2ls |
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182 | # author T. Navarro |
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183 | # ----------------- |
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184 | # convert a given martian day number (sol) |
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185 | # into corresponding solar longitude, Ls (in degr.), |
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186 | # where sol=0=Ls=0 is the |
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187 | # northern hemisphere spring equinox. |
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188 | # ----------------- |
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189 | def mars_sol2ls(soltabin,forcecontinuity=True): |
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190 | year_day = 668.6 |
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191 | peri_day = 485.35 |
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192 | e_elips = 0.09340 |
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193 | radtodeg = 57.2957795130823 |
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194 | timeperi = 1.90258341759902 |
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195 | if type(soltabin).__name__ in ['int','float','float32','float64']: |
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196 | soltab=[soltabin] |
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197 | solout=np.zeros([1]) |
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198 | else: |
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199 | soltab=soltabin |
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200 | solout=np.zeros([len(soltab)]) |
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201 | i=0 |
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202 | for sol in soltab: |
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203 | zz=(sol-peri_day)/year_day |
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204 | zanom=2.*np.pi*(zz-np.floor(zz)) |
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205 | xref=np.abs(zanom) |
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206 | # The equation zx0 - e * sin (zx0) = xref, solved by Newton |
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207 | zx0=xref+e_elips*m.sin(xref) |
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208 | iter=0 |
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209 | while iter <= 10: |
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210 | iter=iter+1 |
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211 | zdx=-(zx0-e_elips*m.sin(zx0)-xref)/(1.-e_elips*m.cos(zx0)) |
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212 | if(np.abs(zdx) <= (1.e-7)): |
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213 | continue |
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214 | zx0=zx0+zdx |
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215 | zx0=zx0+zdx |
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216 | if(zanom < 0.): zx0=-zx0 |
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217 | # compute true anomaly zteta, now that eccentric anomaly zx0 is known |
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218 | zteta=2.*m.atan(m.sqrt((1.+e_elips)/(1.-e_elips))*m.tan(zx0/2.)) |
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219 | # compute Ls |
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220 | ls=zteta-timeperi |
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221 | if(ls < 0.): ls=ls+2.*np.pi |
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222 | if(ls > 2.*np.pi): ls=ls-2.*np.pi |
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223 | # convert Ls in deg. |
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224 | ls=radtodeg*ls |
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225 | solout[i]=ls |
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226 | i=i+1 |
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227 | if forcecontinuity: |
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228 | for iii in range(len(soltab)-1): |
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229 | while solout[iii+1] - solout[iii] > 180. : solout[iii+1] = solout[iii+1] - 360. |
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230 | while solout[iii] - solout[iii+1] > 180. : solout[iii+1] = solout[iii+1] + 360. |
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231 | return solout |
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232 | |
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