U L?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}|ddr(t|tr(|jf|}t|dd}|dk rV|}|dk rN|St|St|SdS)NdeepT_eval_transpose)argget isinstancerdoitgetattrr)selfhintsrrresultrV/var/www/html/venv/lib/python3.8/site-packages/sympy/matrices/expressions/transpose.pyr s  zTranspose.doitcCs |jdS)Nr)argsr rrrr*sz Transpose.argcCs|jjdddS)N)rshaperrrrr.szTranspose.shapeFcKs|jj||fd|i|S)Nexpand)r_entry)r ijrkwargsrrrr2szTranspose._entrycCs |jSN)r conjugaterrrr _eval_adjoint5szTranspose._eval_adjointcCs |jSr)rZadjointrrrr_eval_conjugate8szTranspose._eval_conjugatecCs|jSr)rrrrrr;szTranspose._eval_transposecCsddlm}||jS)N)Trace)tracerr)r rrrr _eval_trace>s zTranspose._eval_tracecCsddlm}||jS)Nr)det)Z&sympy.matrices.expressions.determinantr"r)r r"rrr_eval_determinantBs zTranspose._eval_determinantcCs |j|Sr)r_eval_derivative)r xrrrr$FszTranspose._eval_derivativecCs|jd|}dd|DS)NrcSsg|] }|qSr) transpose).0rrrr Lsz;Transpose._eval_derivative_matrix_lines..)r_eval_derivative_matrix_lines)r r%linesrrrr)Jsz'Transpose._eval_derivative_matrix_linesN)F)__name__ __module__ __qualname____doc__Z is_Transposer propertyrrrrrrr!r#r$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 )r1r2Z symmetricr)r0Z assumptionsrrrrefine_TransposeXs r4N) Zsympy.core.basicrZ"sympy.matrices.expressions.matexprrrr&Zsympy.assumptions.askr1r2Zsympy.assumptions.refiner3r4rrrrs  J