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Tools for comparing ranked lists.
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fV � �# t $ r Y �%w xY wdS )z�Finds the difference between the values in ranks1 and ranks2 for keys
present in both dicts. If the arguments are not dicts, they are converted
from (key, rank) sequences.
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S # t $ r Y dS w xY w)aU Returns the Spearman correlation coefficient for two rankings, which
should be dicts or sequences of (key, rank). The coefficient ranges from
-1.0 (ranks are opposite) to 1.0 (ranks are identical), and is only
calculated for keys in both rankings (for meaningful results, remove keys
present in only one list before ranking).� � � g )r �ZeroDivisionError)r r �n�resr �ds r �spearman_correlationr s� � �
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A c �4 � d� t | � � D � � S )z�Given a sequence, yields each element with an increasing rank, suitable
for use as an argument to ``spearman_correlation``.
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� � |k r|}n# t $ r Y nw xY w||fV � |}�;dS )z�Given a sequence of (key, score) tuples, yields each key with an
increasing rank, tying with previous key's rank if the difference between
their scores is less than rank_gap. Suitable for use as an argument to
``spearman_correlation``.
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