K i]VddlmZddlmZddlmZddlmZddlm Z Gdde Z y) )Indexed)Tuple)Dummy)sympify)Integralc8eZdZdZdZfdZedZxZS)IndexedIntegrala/ Experimental class to test integration by indexed variables. Usage is analogue to ``Integral``, it simply adds awareness of integration over indices. Contraction of non-identical index symbols referring to the same ``IndexedBase`` is not yet supported. Examples ======== >>> from sympy.sandbox.indexed_integrals import IndexedIntegral >>> from sympy import IndexedBase, symbols >>> A = IndexedBase('A') >>> i, j = symbols('i j', integer=True) >>> ii = IndexedIntegral(A[i], A[i]) >>> ii Integral(_A[i], _A[i]) >>> ii.doit() A[i]**2/2 If the indices are different, indexed objects are considered to be different variables: >>> i2 = IndexedIntegral(A[j], A[i]) >>> i2 Integral(A[j], _A[i]) >>> i2.doit() A[i]*A[j] ctj|\}}t|}|j|}t j ||g|i|}||_|jDcic]\}}|| c}}|_|Scc}}wN) r _indexed_process_limitsrxreplacer__new__ _indexed_replitems_indexed_reverse_repl)clsfunctionlimits assumptionsreplobjkeyvals e/mnt/ssd/data/python-lab/Trading/venv/lib/python3.12/site-packages/sympy/sandbox/indexed_integrals.pyrzIndexedIntegral.__new__)s&>>vF f8$$$T*sHEvEE >Bjjl$K(#sS#X$K! %Ls) BcVt|}|j|jSr )superdoitr r)selfres __class__s rrzIndexedIntegral.doit2s#gln||D6677ci}g}|D]}t|tttfr |d}|dd}n|}d}t|tr3||vrt t |}|||<|jf|zp|j|||fS)Nr) isinstancetuplelistrrrstrappend)rr newlimitsivvrestrs rr z'IndexedIntegral._indexed_process_limits6s  $A!eT512aD!"!W%D=c!f ADG  !e,  # $Yr!) __name__ __module__ __qualname____doc__rr staticmethodr __classcell__)r s@rr r s'@8r!r N) sympy.tensorrsympy.core.containersrsympy.core.symbolrsympy.core.sympifyrsympy.integrals.integralsrr r$r!rr:s" '#&.@h@r!