_find_contraction(positions, input_sets, output_set)
Integer positions of terms used in the contraction.
List of sets that represent the lhs side of the einsum subscript
Set that represents the rhs side of the overall einsum subscript
The indices of the resulting contraction
List of sets that have not been contracted, the new set is appended to the end of this list
Indices removed from the entire contraction
The indices used in the current contraction
Finds the contraction for a given set of input and output sets.
# A simple dot product test case >>> pos = (0, 1) >>> isets = [set('ab'), set('bc')] >>> oset = set('ac') >>> _find_contraction(pos, isets, oset) ({'a', 'c'}, [{'a', 'c'}], {'b'}, {'a', 'b', 'c'})
# A more complex case with additional terms in the contraction >>> pos = (0, 2) >>> isets = [set('abd'), set('ac'), set('bdc')] >>> oset = set('ac') >>> _find_contraction(pos, isets, oset) ({'a', 'c'}, [{'a', 'c'}, {'a', 'c'}], {'b', 'd'}, {'a', 'b', 'c', 'd'})
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