o o hU @s`ddlmZddlmZGdddeZddZddlmZmZddl m Z d d Z e e d<d S) )Basic) 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 TcKsb|j}|ddrt|tr|jdi|}t|dd}|dur-|}|dur)|St|St|S)NdeepT_eval_transpose)argget isinstancerdoitgetattrr)selfhintsrrresultrrx/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/sympy/matrices/expressions/transpose.pyr s zTranspose.doitcCs |jdS)Nr)argsr rrrr*s z Transpose.argcCs|jjdddS)N)rshaperrrrr.szTranspose.shapeFcKs|jj||fd|i|S)Nexpand)r_entry)r ijrkwargsrrrr2szTranspose._entrycC |jSN)r conjugaterrrr _eval_adjoint5 zTranspose._eval_adjointcCrr)radjointrrrr_eval_conjugate8rzTranspose._eval_conjugatecCs|jSr)rrrrrr;szTranspose._eval_transposecCddlm}||jS)N)Trace)tracer#r)r r#rrr _eval_trace>  zTranspose._eval_tracecCr!)Nr)det)&sympy.matrices.expressions.determinantr'r)r r'rrr_eval_determinantBr&zTranspose._eval_determinantcCs |j|Sr)r_eval_derivative)r xrrrr*Fs zTranspose._eval_derivativecCs|jd|}dd|DS)NrcSsg|]}|qSr) transpose).0rrrr Lsz;Transpose._eval_derivative_matrix_lines..)r_eval_derivative_matrix_lines)r r+linesrrrr/Jsz'Transpose._eval_derivative_matrix_linesN)F)__name__ __module__ __qualname____doc__ is_Transposer propertyrrrrr rr%r)r*r/rrrrrs     rcCst|jddS)zMatrix transposeF)r)rr )exprrrrr,Osr,)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 )r8r9 symmetricr)r7 assumptionsrrrrefine_TransposeXs r=N) sympy.core.basicr"sympy.matrices.expressions.matexprrrr,sympy.assumptions.askr8r9sympy.assumptions.refiner:r=rrrrs J