+ iH^RIHt^RIHt^RIHt^RIHt^RIH t ^RI H t ^RI H t !RR ]4t]R 4t!R R ]4tR #))Iterable)singledispatch)Expr)Mul)S)sympify)global_parameterscPa]tRt^ toRtRtRtRtRt] R4t Rt Rt Vt R #) TensorProductz$ Generic class for tensor products. Fc^RIHpHpHp^RIHp^RIHp^RIH pVU u.uFp \V 4NK pp VPR\P4p V 'g\P!V.VO5!p V #.p .p \ P"pVFap \%V \&Ws34'dV P)V!V 44K4\%W34'dV P)V 4KYW,pKc W!V !,p\+V 4^8XdV#V^8wd V.V ,pMT p\P!V.VO5/VBp V!V 4#uup i)r) NDimArray tensorproductArray) MatrixExpr) MatrixBase)flattenevaluate)sympy.tensor.arrayr rr"sympy.matrices.expressions.matexprrsympy.matrices.matrixbasersympy.strategiesrrgetr rr__new__rOne isinstancerappendlen)clsargskwargsr rrrrrargrobjarraysotherscalarcoeffnewargss&*, v/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/sympy/tensor/functions.pyrTensorProduct.__new__sFFA8,(,- -::j*;*D*DE,,s*T*CJC#*@AA eCj)C// S!  }f-- u:?L A:goGGll333F3s|5.sEc,\VP4#N)rshape)selfs&r(rankTensorProduct.rank3s4::c^RIHpVPUu.uF3p\VR4'd VPMV!V4PNK5 up#uupi)r)rr,)rrrhasattrr,)r-ris& r(_get_args_shapesTensorProduct._get_args_shapes6s>,LPIIVIq71g..E!HNNBIVVVs9Ac:VP4p\VR4#)N)r4sum)r- shape_lists& r(r,TensorProduct.shape:s**, :r""r0ca\S4o\P!V3Rl\VPVP 4444#)c3<"TFHwrTP\;QJd.V3RlV4FNK 5M!V3RlV444xKJ R#5i)c3:<"TFp\S4xK R#5ir+)next).0r3indexs& r( 6TensorProduct.__getitem__...Bs!;s!$u++ssN) __getitem__tuple)r?r!shpr@s& r(rA,TensorProduct.__getitem__..As? C OOEE!;s!;EE!;s!;; < <CsAA)iterrfromiterziprr4)r-r@s&fr(rCTensorProduct.__getitem__?s>U ||  4+@+@+BC   r0r7N)__name__ __module__ __qualname____firstlineno____doc__ is_numberrr.r4propertyr,rC__static_attributes____classdictcell__) __classdict__s@r(r r s@I DW##  r0r cb\VR4'd VP#\RV,4h)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().)r2r, NoShapeError)exprs&r(r,r,Gs3ztWzz KdR TTr0c]tRt^tRtRtR#)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 r7N)rKrLrMrNrOrRr7r0r(rVrVs  r0rVN)collections.abcr functoolsrsympy.core.exprrsympy.core.mulrsympy.core.singletonrsympy.core.sympifyrsympy.core.parametersr r r, ExceptionrVr7r0r(rasJ$$ "&39 D9 x?T?TD 9 r0