a RG5d @spddlmZddlmZmZddlmZGdddeZddZddl m Z m Z dd l m Z d d Zee d<d S) )Basic)adjoint conjugate) MatrixExprc@sveZdZdZdZddZeddZeddZdd d Z d d Z ddZ ddZ ddZ ddZddZddZdS) Transposea1 The transpose of a matrix expression. This is a symbolic object that simply stores its argument without evaluating it. To actually compute the transpose, use the ``transpose()`` function, or the ``.T`` attribute of matrices. Examples ======== >>> from sympy import MatrixSymbol, Transpose, transpose >>> A = MatrixSymbol('A', 3, 5) >>> B = MatrixSymbol('B', 5, 3) >>> Transpose(A) A.T >>> A.T == transpose(A) == Transpose(A) True >>> Transpose(A*B) (A*B).T >>> transpose(A*B) B.T*A.T TcKsf|j}|ddr,t|tr,|jfi|}t|dd}|durZ|}|durR|St|St|SdS)NdeepT_eval_transpose)argget isinstancerdoitgetattrr)selfhintsr rresultr`/var/www/html/django/DPS/env/lib/python3.9/site-packages/sympy/matrices/expressions/transpose.pyr !s zTranspose.doitcCs |jdS)Nr)argsrrrrr ,sz Transpose.argcCs|jjdddS)N)r shaperrrrr0szTranspose.shapeFcKs|jj||fd|i|S)Nexpand)r _entry)rijrkwargsrrrr4szTranspose._entrycCs t|jSN)rr rrrr _eval_adjoint7szTranspose._eval_adjointcCs t|jSr)rr rrrr_eval_conjugate:szTranspose._eval_conjugatecCs|jSr)r rrrrr=szTranspose._eval_transposecCsddlm}||jS)N)Trace)tracer r )rr rrr _eval_trace@s zTranspose._eval_tracecCsddlm}||jS)Nr)det)&sympy.matrices.expressions.determinantr#r )rr#rrr_eval_determinantDs zTranspose._eval_determinantcCs |j|Sr)r _eval_derivative)rxrrrr&HszTranspose._eval_derivativecCs|jd|}dd|DS)NrcSsg|] }|qSr) transpose).0rrrr Nz;Transpose._eval_derivative_matrix_lines..)r_eval_derivative_matrix_lines)rr'linesrrrr,Lsz'Transpose._eval_derivative_matrix_linesN)F)__name__ __module__ __qualname____doc__ is_Transposer propertyr rrrrrr"r%r&r,rrrrrs    rcCst|jddS)zMatrix transposeF)r)rr )exprrrrr(Qsr()askQ) handlers_dictcCstt||r|jS|S)z >>> from sympy import MatrixSymbol, Q, assuming, refine >>> X = MatrixSymbol('X', 2, 2) >>> X.T X.T >>> with assuming(Q.symmetric(X)): ... print(refine(X.T)) X )r5r6 symmetricr )r4 assumptionsrrrrefine_TransposeZs r:N)sympy.core.basicrsympy.functionsrr"sympy.matrices.expressions.matexprrrr(sympy.assumptions.askr5r6sympy.assumptions.refiner7r:rrrrs  J