o GZŽhwã@s<ddlmZmZddlmZddlmZGdd„deƒZdS)é)ÚBasicÚExpr)Ú_sympify)Ú transposec@s"eZdZdZdd„Zddd„ZdS) Ú DotProductaC Dot product of vector matrices The input should be two 1 x n or n x 1 matrices. The output represents the scalar dotproduct. This is similar to using MatrixElement and MatMul, except DotProduct does not require that one vector to be a row vector and the other vector to be a column vector. >>> from sympy import MatrixSymbol, DotProduct >>> A = MatrixSymbol('A', 1, 3) >>> B = MatrixSymbol('B', 1, 3) >>> DotProduct(A, B) DotProduct(A, B) >>> DotProduct(A, B).doit() A[0, 0]*B[0, 0] + A[0, 1]*B[0, 1] + A[0, 2]*B[0, 2] cCszt||fƒ\}}|jstdƒ‚|jstdƒ‚d|jvrtdƒ‚d|jvr(tdƒ‚t|jƒt|jƒkr6tdƒ‚t |||¡S)Nz(Argument 1 of DotProduct is not a matrixz(Argument 2 of DotProduct is not a matrixéz(Argument 1 of DotProduct is not a vectorz(Argument 2 of DotProduct is not a vectorz,DotProduct arguments are not the same length)rZ is_MatrixÚ TypeErrorÚshapeÚsetrÚ__new__)ÚclsZarg1Zarg2©r úT/var/www/auris/lib/python3.10/site-packages/sympy/matrices/expressions/dotproduct.pyr s  zDotProduct.__new__FcKsÀ|jdj|jdjkr6|jdjddkr&|jdt|jdƒ}|dSt|jdƒ|jd}|dS|jdjddkrN|jd|jd}|dSt|jdƒt|jdƒ}|dS)Nrr)Úargsr r)ÚselfÚexpandÚhintsÚmulr r rÚdoit+s ùûþzDotProduct.doitN)F)Ú__name__Ú __module__Ú __qualname__Ú__doc__r rr r r rrsrN)Z sympy.corerrZsympy.core.sympifyrZ$sympy.matrices.expressions.transposerrr r r rÚs