*hSSKJr SSKJrJrJr SSKJr SSKJ r SSK J r J r SSKJr SSKJr SSKJr SS KJr SS KJr SS KJr S r\\ \'S r\\ \'"SS\\5r"SS\\5r\r"SS\\5r\"\\5S5r g))_matrix)BasicDictTuple)Integer)cacheit)_sympy_converter_sympify) DenseMatrix) MatrixExpr) MatrixBase) RepMatrix)SparseRepMatrix)dispatchc"UR5$N) as_immutable)args U/home/mande/repo/quber/.venv/lib/python3.13/site-packages/sympy/matrices/immutable.pysympify_matrixrs    cUVs/sHn[U5PM nn[URURU5$s snfr)r ImmutableDenseMatrixrowscols)rxmats rsympify_mpmath_matrixrs6 # $18A;C $ #((C 88 %s=c^\rSrSrSrSr\RrSr\ S5r \ S5r \ S5r Sr S rS rSU4S jjr\R R\l\"\5rS rS rU=r$)ImmutableRepMatrixzWImmutable matrix based on RepMatrix Uses DomainMAtrix as the internal representation. c&UR"U0UD6$r)_new)clsargskwargss r__new__ImmutableRepMatrix.__new__*sxx(((rcU$rselfs rcopyImmutableRepMatrix.copy/ rcUR$r)_colsr+s rrImmutableRepMatrix.cols2 zzrcUR$r)_rowsr+s rrImmutableRepMatrix.rows6r3rc2URUR4$r)r5r1r+s rshapeImmutableRepMatrix.shape:szz4::%%rcU$rr*r+s rrImmutableRepMatrix.as_immutable>r/rc XU4$rr*)r,ijr&s r_entryImmutableRepMatrix._entryAsqDzrcJ[SRUR55e)NzCannot set values of {}) TypeErrorformat __class__)r,r%s r __setitem__ImmutableRepMatrix.__setitem__Ds188HIIrc (>[TU]"SSU0UD6$)N reals_onlyr*)superis_diagonalizable)r,rHr&rDs rrJ$ImmutableRepMatrix.is_diagonalizableGs%w(-!-%+- -rc\UR5RX5R5$r) as_mutable analytic_funcr)r,frs rrN ImmutableRepMatrix.analytic_funcNs# ..q4AACCrr*)F)__name__ __module__ __qualname____firstlineno____doc__r'r __hash__r-propertyrrr8rr?rErJrrrN__static_attributes__ __classcell__)rDs@rr r s)""H&&J-!0 A A I I 12DDrr cD\rSrSrSrSrSrSr\S5r \S5r Sr g ) rRaCreate an immutable version of a matrix. Examples ======== >>> from sympy import eye, ImmutableMatrix >>> ImmutableMatrix(eye(3)) Matrix([ [1, 0, 0], [0, 1, 0], [0, 0, 1]]) >>> _[0, 0] = 42 Traceback (most recent call last): ... TypeError: Cannot set values of ImmutableDenseMatrix Tgn$@cJ[U5S:Xa[US[5(aUS$URSS5SLa [U5S:wa [ S5eUup4nO UR "U0UD6up4n[ U5nURX4U5nURU5$)Nrr-TFzA'copy=False' requires a matrix be initialized as rows,cols,[list]) len isinstancergetrB_handle_creation_inputslist_flat_list_to_DomainMatrix_fromrep)r$r%r&rr flat_listreps rr#ImmutableDenseMatrix._newjs t9>ja2FGG7N ::fd #u ,4yA~ cdd$( !D $'$?$?$P$P !D YI,,TC||C  rc URup#UR5R5n[R"U[ U5[ U5[ USS065nX%lX5lXl U$)NsympifyF) r8to_sympy to_list_flatrr'rrr5r1_rep)r$rhrrrgobjs rrfImmutableDenseMatrix._fromrepzsbYY LLN//1 mmC DM DM 9 ,e ,.   rr*N) rQrRrSrTrU _iterable_class_priority _op_priority classmethodr#rfrXr*rrrrRs>&IOL ! !  rrc@\rSrSrSrSrSr\S5r\S5r Sr g) ImmutableSparseMatrixauCreate an immutable version of a sparse matrix. Examples ======== >>> from sympy import eye, ImmutableSparseMatrix >>> ImmutableSparseMatrix(1, 1, {}) Matrix([[0]]) >>> ImmutableSparseMatrix(eye(3)) Matrix([ [1, 0, 0], [0, 1, 0], [0, 0, 1]]) >>> _[0, 0] = 42 Traceback (most recent call last): ... TypeError: Cannot set values of ImmutableSparseMatrix >>> _.shape (3, 3) T crUR"U0UD6up4nURX4U5nURU5$r)rc_smat_to_DomainMatrixrf)r$r%r&rrsmatrhs rr#ImmutableSparseMatrix._news=66GGD''D9||C  rcURup#UR5R5n[R"U[ U5[ U5[ U55nX%lX5lXl U$r) r8rlto_dokrr'rrr5r1rn)r$rhrrr{ros rrfImmutableSparseMatrix._fromrepsUYY ||~$$&mmC tDzJ   rr*N) rQrRrSrTrU is_Matrixrrrtr#rfrXr*rrrvrvs9(IO!!rrvcTURUR:wagX- R$)avHelper method for Equality with matrices.sympy. Relational automatically converts matrices to ImmutableDenseMatrix instances, so this method only applies here. Returns True if the matrices are definitively the same, False if they are definitively different, and None if undetermined (e.g. if they contain Symbols). Returning None triggers default handling of Equalities. F)r8is_zero_matrix)lhsrhss r _eval_is_eqrs% yyCII I % %%rN)!mpmath.matrices.matricesr sympy.corerrrsympy.core.numbersrsympy.core.cachersympy.core.sympifyr sympify_converterr sympy.matrices.denser sympy.matrices.expressionsr sympy.matrices.matrixbaser sympy.matrices.repmatrixrsympy.matrices.sparsersympy.multipledispatchrrrr rImmutableMatrixrvrr*rrrs,))&$N,10.1+!/*9 3'1DJ1Dh3;(:3n'(O-?(V  45 &6 &r