X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=norms.py;h=3d6d37df7f2e4f9f576c9cd4ef1a2341aa48d016;hb=49dc272d2fc91e7340e56e9e7b96da6ab63514bb;hp=2c8eb70e0401b163ba1ecce6858aec82820b9d53;hpb=36820d02361529d5327ad040432d0198b72baed2;p=cipher-tools.git diff --git a/norms.py b/norms.py index 2c8eb70..3d6d37d 100644 --- a/norms.py +++ b/norms.py @@ -56,7 +56,7 @@ def l2(frequencies1, frequencies2): 1.0 """ total = 0 - for k in frequencies1.keys(): + for k in frequencies1: total += (frequencies1[k] - frequencies2[k]) ** 2 return total ** 0.5 euclidean_distance = l2 @@ -77,7 +77,7 @@ def l1(frequencies1, frequencies2): 1 """ total = 0 - for k in frequencies1.keys(): + for k in frequencies1: total += abs(frequencies1[k] - frequencies2[k]) return total @@ -100,7 +100,7 @@ def l3(frequencies1, frequencies2): 0.6299605249... """ total = 0 - for k in frequencies1.keys(): + for k in frequencies1: total += abs(frequencies1[k] - frequencies2[k]) ** 3 return total ** (1/3) @@ -126,7 +126,7 @@ def geometric_mean(frequencies1, frequencies2): 0.009259259... """ total = 1 - for k in frequencies1.keys(): + for k in frequencies1: total *= abs(frequencies1[k] - frequencies2[k]) return total @@ -152,7 +152,7 @@ def harmonic_mean(frequencies1, frequencies2): 0.2 """ total = 0 - for k in frequencies1.keys(): + for k in frequencies1: if abs(frequencies1[k] - frequencies2[k]) == 0: return 0 total += 1 / abs(frequencies1[k] - frequencies2[k]) @@ -164,38 +164,25 @@ def cosine_distance(frequencies1, frequencies2): Assumes every key in frequencies1 is also in frequencies2 >>> cosine_distance({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS - -2.22044604...e-16 + 1.0000000000... >>> cosine_distance({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS - -2.22044604...e-16 + 1.0000000000... >>> cosine_distance({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS - 0.4226497308... + 0.5773502691... >>> cosine_distance({'a':0, 'b':1}, {'a':1, 'b':1}) # doctest: +ELLIPSIS - 0.29289321881... + 0.7071067811... """ numerator = 0 length1 = 0 length2 = 0 - for k in frequencies1.keys(): + for k in frequencies1: numerator += frequencies1[k] * frequencies2[k] length1 += frequencies1[k]**2 for k in frequencies2.keys(): length2 += frequencies2[k] - return 1 - (numerator / (length1 ** 0.5 * length2 ** 0.5)) + return numerator / (length1 ** 0.5 * length2 ** 0.5) -def log_pl(frequencies1, frequencies2): - return sum([frequencies2[l] * log10(frequencies1[l]) for l in frequencies1.keys()]) - -def inverse_log_pl(frequencies1, frequencies2): - return -log_pl(frequencies1, frequencies2) - - - -def index_of_coincidence(frequencies): - """Finds the (expected) index of coincidence given a set of frequencies - """ - return sum([f ** 2 for f in frequencies.values()]) * len(frequencies.keys()) - if __name__ == "__main__": import doctest