B [k @sddlmZmZddlmZddlmZmZddlm Z Gddde Z ddZ dd l m Z mZdd lmZd d Zeed<d S))print_functiondivision)Basic)adjoint conjugate) MatrixExprc@sfeZdZdZdZddZeddZeddZdd d Z d d Z ddZ ddZ ddZ ddZdS) Transposea] 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.matrices import MatrixSymbol, Transpose >>> from sympy.functions import 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|}y|}|dk r>|St|Stk r\t|SXdS)NZdeepT)argget isinstancerdoit_eval_transposerAttributeError)selfZhintsr resultrClib/python3.7/site-packages/sympy/matrices/expressions/transpose.pyr #s zTranspose.doitcCs |jdS)Nr)args)rrrrr -sz Transpose.argcCs|jjdddS)N)r shape)rrrrr1szTranspose.shapeFcCs|jj|||dS)N)expand)r _entry)rijrrrrr5szTranspose._entrycCs t|jS)N)rr )rrrr _eval_adjoint8szTranspose._eval_adjointcCs t|jS)N)rr )rrrr_eval_conjugate;szTranspose._eval_conjugatecCs|jS)N)r )rrrrr >szTranspose._eval_transposecCsddlm}||jS)N)Trace)Ztracerr )rrrrr _eval_traceAs zTranspose._eval_tracecCsddlm}||jS)Nr)det)Z&sympy.matrices.expressions.determinantrr )rrrrr_eval_determinantEs zTranspose._eval_determinantN)F)__name__ __module__ __qualname____doc__Z is_Transposer propertyr rrrrr rr rrrrrs   rcCs t|S)z Matrix transpose )rr )exprrrr transposeIsr')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 )r(r)Z symmetricr )r&Z assumptionsrrrrefine_TransposeRs r+N)Z __future__rrZsympyrZsympy.functionsrrZ"sympy.matrices.expressions.matexprrrr'Zsympy.assumptions.askr(r)Zsympy.assumptions.refiner*r+rrrrs  A