o oÇ h“ ã@stddlmZddlmZmZddlmZddlmZGdd„deƒZ ddl m Z m Z ddl mZd d „Zeed<d S) é)Ú_sympify)ÚSÚBasic)ÚNonSquareMatrixError)ÚMatPowc@sxeZdZdZdZejZejfdd„Ze dd„ƒZ e dd„ƒZ d d „Z d d „Z d d„Zdd„Zdd„Zdd„Zdd„ZdS)ÚInversea The multiplicative inverse of a matrix expression This is a symbolic object that simply stores its argument without evaluating it. To actually compute the inverse, use the ``.inverse()`` method of matrices. Examples ======== >>> from sympy import MatrixSymbol, Inverse >>> A = MatrixSymbol('A', 3, 3) >>> B = MatrixSymbol('B', 3, 3) >>> Inverse(A) A**(-1) >>> A.inverse() == Inverse(A) True >>> (A*B).inverse() B**(-1)*A**(-1) >>> Inverse(A*B) (A*B)**(-1) TcCsBt|ƒ}t|ƒ}|jstdƒ‚|jdurtd|ƒ‚t |||¡S)Nzmat should be a matrixFzInverse of non-square matrix %s)rÚ is_MatrixÚ TypeErrorÚ is_squarerrÚ__new__)ÚclsÚmatÚexp©rúv/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/sympy/matrices/expressions/inverse.pyr #s  zInverse.__new__cCs |jdS©Nr)Úargs©ÚselfrrrÚarg.s z Inverse.argcCs|jjS©N)rÚshaperrrrr2sz Inverse.shapecCs|jSr)rrrrrÚ _eval_inverse6szInverse._eval_inversecCót|j ¡ƒSr)rrÚ transposerrrrÚ_eval_transpose9ózInverse._eval_transposecCrr)rrÚadjointrrrrÚ _eval_adjoint<rzInverse._eval_adjointcCrr)rrÚ conjugaterrrrÚ_eval_conjugate?rzInverse._eval_conjugatecCsddlm}d||jƒS)Nr)Údeté)Ú&sympy.matrices.expressions.determinantr!r)rr!rrrÚ_eval_determinantBs zInverse._eval_determinantcKsBd|vr |ddkr |S|j}| dd¡r|jdi|¤Ž}| ¡S)NÚ inv_expandFÚdeepTr)rÚgetÚdoitÚinverse)rÚhintsrrrrr(Fs  z Inverse.doitcCsB|jd}| |¡}|D]}|j|j 9_|j|9_q |Sr)rÚ_eval_derivative_matrix_linesÚ first_pointerÚTÚsecond_pointer)rÚxrÚlinesÚlinerrrr+Ps  z%Inverse._eval_derivative_matrix_linesN)Ú__name__Ú __module__Ú __qualname__Ú__doc__Ú is_InverserÚ NegativeOnerr Úpropertyrrrrrr r$r(r+rrrrrs    r)ÚaskÚQ)Ú handlers_dictcCsTtt |¡|ƒr |jjStt |¡|ƒr|j ¡Stt |¡|ƒr(td|jƒ‚|S)zÌ >>> from sympy import MatrixSymbol, Q, assuming, refine >>> X = MatrixSymbol('X', 2, 2) >>> X.I X**(-1) >>> with assuming(Q.orthogonal(X)): ... print(refine(X.I)) X.T zInverse of singular matrix %s) r9r:Ú orthogonalrr-ÚunitaryrÚsingularÚ ValueError)ÚexprÚ assumptionsrrrÚrefine_Inverse]s  rBN)Úsympy.core.sympifyrÚ sympy.corerrÚsympy.matrices.exceptionsrÚ!sympy.matrices.expressions.matpowrrÚsympy.assumptions.askr9r:Úsympy.assumptions.refiner;rBrrrrÚs   Q