(phSr/rSSKJrJrJrJr SSKJrJ r J r 0SS_SS_SS _S S _S S_S S_SS _SS _SS _SS _SS _SS _SS _SS _SS _SS _r Sr Sr Srg)zrestructuredtext en) asanyarrayasarrayarrayzeros)aslinearoperatorLinearOperatorIdentityOperator)fr r )r dr )r Fr )r Dr )r r )r r )r r )r r )r r )r r )r r )r r )r r )r r )r r )r r c6US;aSnUS;aSn[X4$)NfdFDr ) _coerce_rules)xys T/var/www/html/venv/lib/python3.13/site-packages/scipy/sparse/linalg/_isolve/utils.pycoercers'    cU$Nrs ridrs HrcUn[U5nURSURS:wa[SUR435eURSn[U5nURUS4:Xd7URU4:Xd&[SURSURS35eURR S;aUR S5nS n[US 5(aURR nO%URU5RR n[XsRR 5n[X7S 9nUR5nUc[US 5(a URnO[n[US 5(a URn O[n U[La(U [La[URURS9nOP[!URXURS9nO0[U5nURUR:wa [S5eUc [#XWS 9n O[%U[&5(a(US:Xa!UR)5n URU 5n Ob[+X'S 9n U RUS4:Xd7U RU4:Xd&[SURSU RS35eU R5n XW X64$)aZMake a linear system Ax=b Parameters ---------- A : LinearOperator sparse or dense matrix (or any valid input to aslinearoperator) M : {LinearOperator, Nones} preconditioner sparse or dense matrix (or any valid input to aslinearoperator) x0 : {array_like, str, None} initial guess to iterative method. ``x0 = 'Mb'`` means using the nonzero initial guess ``M @ b``. Default is `None`, which means using the zero initial guess. b : array_like right hand side Returns ------- (A, M, x, b, postprocess) A : LinearOperator matrix of the linear system M : LinearOperator preconditioner x : rank 1 ndarray initial guess b : rank 1 ndarray right hand side postprocess : function converts the solution vector to the appropriate type and dimensions (e.g. (N,1) matrix) rz&expected square matrix, but got shape=z shapes of A z and b z are incompatiblerr cU$rrrs r postprocess make_system..postprocessQsrdtype)r psolverpsolve)shaper )matvecrmatvecr z/matrix and preconditioner have different shapesMbz and x0 )rr# ValueErrorrr charastypehasattrr$rrravelr!rr"r rr isinstancestrcopyr) AMx0bA_Nrxtyper!r"rbCopys r make_systemr7skB BAwwqzQWWQZA177*NOO  A1 A GG!u A4<yyA(() ) ww||6! HHSMq  !!&& 5'',, 'EA  A y 2h  YYFF 2i jjGG RAqwwv%&WW.A Q  77agg NO O z ! ! B   :FFHEA " "Aq6!QWW_|AGG95##$77)+<>? ? GGI A ""rN) __docformat____all__numpyrrrrscipy.sparse.linalg._interfacerrr rrrr7rrrr<s% 43 3 # y 3 )# /8 3 )# /8 3 !*# 09 3  !*#  09  3   `#r