o 2h @s2dZddlmZmZmZmZmZmZmZm Z ddl m Z m Z gdZ dZgdZeeeeZe deedeed efd d Ze deedeeefd efd d Zdeded efd d Zdeedee de d eeeee e e ffddZdeedededeeefd ef ddZde d e fddZdS)z9Contains helper functions for opt_einsum testing scripts.)Any CollectionDict FrozenSetIterableListTupleoverload)ArrayIndexType ArrayType)compute_size_by_dictfind_contraction flop_countabcdefghijklmopqABC)rrrrrrrrrrrrrindicesidx_dictreturncCdSNrrrrM/var/www/html/chatgem/venv/lib/python3.10/site-packages/opt_einsum/helpers.pyr r cCrrrrrrrr rcCsd}|D]}|||9}q|S)aComputes the product of the elements in indices based on the dictionary idx_dict. Parameters ---------- indices : iterable Indices to base the product on. idx_dict : dictionary Dictionary of index _sizes Returns: ------- ret : int The resulting product. Examples: -------- >>> compute_size_by_dict('abbc', {'a': 2, 'b':3, 'c':5}) 90 r)rrretirrrr s positions input_sets output_setcs\t|fddt|ddD}tj|}|j}||@}||}||||fS)aFinds the contraction for a given set of input and output sets. Parameters ---------- positions : iterable Integer positions of terms used in the contraction. input_sets : list List of sets that represent the lhs side of the einsum subscript output_set : set Set that represents the rhs side of the overall einsum subscript Returns: ------- new_result : set The indices of the resulting contraction remaining : list List of sets that have not been contracted, the new set is appended to the end of this list idx_removed : set Indices removed from the entire contraction idx_contraction : set The indices used in the current contraction Examples: -------- # 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'}) c3s|]}|VqdSr)pop).0r! remainingrr _sz#find_contraction..T)reverse)listsorted frozensetunionappend)r"r#r$inputs idx_contract idx_remain new_result idx_removedrr'rr 2s,    r idx_contractioninner num_termssize_dictionarycCs,t||}td|d}|r|d7}||S)aComputes the number of FLOPS in the contraction. Parameters ---------- idx_contraction : iterable The indices involved in the contraction inner : bool Does this contraction require an inner product? num_terms : int The number of terms in a contraction size_dictionary : dict The size of each of the indices in idx_contraction Returns: ------- flop_count : int The total number of FLOPS required for the contraction. Examples: -------- >>> flop_count('abc', False, 1, {'a': 2, 'b':3, 'c':5}) 30 >>> flop_count('abc', True, 2, {'a': 2, 'b':3, 'c':5}) 60 r)r max)r5r6r7r8 overall_size op_factorrrrrjs !rarraycCst|drdSdS)N__array_interface__TF)hasattr)r<rrrhas_array_interfaces r?N)__doc__typingrrrrrrrr opt_einsum.typingr r __all__ _valid_chars_sizesdictzip_default_dim_dictintr strr boolrr?rrrrsB( $ 8  )