*hHSSKJr SSKJr SSKJr SSKJr SSKJ r SSK J r SSK J r "SS \5r\S 5r"S S \5rg ))Iterable)singledispatch)Expr)Mul)S)sympify)global_parameterscD\rSrSrSrSrSrSrSr\ S5r Sr S r g ) TensorProduct z$ Generic class for tensor products. FcvSSKJnJnJn SSKJn SSKJn SSKJ n UV s/sHn [U 5PM nn URS[R5n U (d[R"U/UQ76n U $/n /n [ R"nUH[n [%U [&Xs45(aU R)U"U 55 M3[%X45(aU R)U 5 MWX-nM] X"U 6-n[+U 5S:XaU$US:waU/U -nOU n[R"U/UQ70UD6n U"U 5$s sn f)Nr) NDimArray tensorproductArray) MatrixExpr) MatrixBase)flattenevaluate)sympy.tensor.arrayrrr"sympy.matrices.expressions.matexprrsympy.matrices.matrixbasersympy.strategiesrrgetr rr__new__rOne isinstancerappendlen)clsargskwargsrrrrrrargrobjarraysotherscalarcoeffnewargss S/home/mande/repo/quber/.venv/lib/python3.13/site-packages/sympy/tensor/functions.pyrTensorProduct.__new__sFFA8,(,- -::j*;*D*DE,,s*T*CJC#*@AA eCj)C// S!  }f-- u:?L A:goGGll333F3s|5.sD6c,[UR5$N)rshape)selfs r*rankTensorProduct.rank3s4::cSSKJn URVs/sH2n[US5(a UROU"U5RPM4 sn$s snf)Nr)rr.)rrr!hasattrr.)r/ris r*_get_args_shapesTensorProduct._get_args_shapes6s>,LPIIVIq71g..E!HNNBIVVVs9Ac:UR5n[US5$)N)r6sum)r/ shape_lists r*r.TensorProduct.shape:s**, :r""r2c^[T5m[R"U4Sj[URUR 5555$)Nc3p># UH+upUR[U4SjU555v M- g7f)c3:># UHn[T5v M g7fr-)next).0r5indexs r* 6TensorProduct.__getitem__...Bs!;s!$u++ssN) __getitem__tuple)rAr#shprBs r*rC,TensorProduct.__getitem__..As1 C OOE!;s!;; < <Cs36)iterrfromiterzipr!r6)r/rBs `r*rETensorProduct.__getitem__?s>U ||  4+@+@+BC   r2r9N) __name__ __module__ __qualname____firstlineno____doc__ is_numberrr0r6propertyr.rE__static_attributes__r9r2r*r r s8I DW## r2r cX[US5(a UR$[SU-5e)a0 Return the shape of the *expr* as a tuple. *expr* should represent suitable object such as matrix or array. Parameters ========== expr : SymPy object having ``MatrixKind`` or ``ArrayKind``. Raises ====== NoShapeError : Raised when object with wrong kind is passed. Examples ======== This function returns the shape of any object representing matrix or array. >>> from sympy import shape, Array, ImmutableDenseMatrix, Integral >>> from sympy.abc import x >>> A = Array([1, 2]) >>> shape(A) (2,) >>> shape(Integral(A, x)) (2,) >>> M = ImmutableDenseMatrix([1, 2]) >>> shape(M) (2, 1) >>> shape(Integral(M, x)) (2, 1) You can support new type by dispatching. >>> from sympy import Expr >>> class NewExpr(Expr): ... pass >>> @shape.register(NewExpr) ... def _(expr): ... return shape(expr.args[0]) >>> shape(NewExpr(M)) (2, 1) If unsuitable expression is passed, ``NoShapeError()`` will be raised. >>> shape(Integral(x, x)) Traceback (most recent call last): ... sympy.tensor.functions.NoShapeError: shape() called on non-array object: Integral(x, x) Notes ===== Array-like classes (such as ``Matrix`` or ``NDimArray``) has ``shape`` property which returns its shape, but it cannot be used for non-array classes containing array. This function returns the shape of any registered object representing array. r.zA%s does not have shape, or its type is not registered to shape().)r4r. NoShapeError)exprs r*r.r.Gs3ztWzz KdR TTr2c\rSrSrSrSrg)rVaB Raised when ``shape()`` is called on non-array object. This error can be imported from ``sympy.tensor.functions``. Examples ======== >>> from sympy import shape >>> from sympy.abc import x >>> shape(x) Traceback (most recent call last): ... sympy.tensor.functions.NoShapeError: shape() called on non-array object: x r9N)rMrNrOrPrQrTr9r2r*rVrVs  r2rVN)collections.abcr functoolsrsympy.core.exprrsympy.core.mulrsympy.core.singletonrsympy.core.sympifyrsympy.core.parametersr r r. ExceptionrVr9r2r*rbsJ$$ "&39 D9 x?T?TD 9 r2