ó ~9­\c@ sÀddlmZmZddlmZmZddlmZmZm Z m Z m Z ddl m Z mZd„Zde fd„ƒYZd„ZeefZe e d „e eŒƒƒZd S( iÿÿÿÿ(tprint_functiontdivision(tMultsympify(tunpacktflattent conditiontexhausttdo_one(t MatrixExprt ShapeErrorcG sM|stdƒ‚nt|Œt|ƒdkr9|dSt|ŒjƒSdS(sm Return the elementwise (aka Hadamard) product of matrices. Examples ======== >>> from sympy.matrices import hadamard_product, MatrixSymbol >>> A = MatrixSymbol('A', 2, 3) >>> B = MatrixSymbol('B', 2, 3) >>> hadamard_product(A) A >>> hadamard_product(A, B) A.*B >>> hadamard_product(A, B)[0, 1] A[0, 1]*B[0, 1] s#Empty Hadamard product is undefinediiN(t TypeErrortvalidatetlentHadamardProducttdoit(tmatrices((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pythadamard_products  RcB sGeZdZeZd„Zed„ƒZd„Zd„Z d„Z RS(s¼ Elementwise product of matrix expressions This is a symbolic object that simply stores its argument without evaluating it. To actually compute the product, use the function ``hadamard_product()``. >>> from sympy.matrices import hadamard_product, HadamardProduct, MatrixSymbol >>> A = MatrixSymbol('A', 5, 5) >>> B = MatrixSymbol('B', 5, 5) >>> isinstance(hadamard_product(A, B), HadamardProduct) True cO sSttt|ƒƒ}|jdtƒ}|r:t|Œntt|ƒj||ŒS(Ntcheck( tlisttmapRtgettTrueR tsuperRt__new__(tclstargstkwargsR((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyR2s  cC s|jdjS(Ni(Rtshape(tself((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyR9scC s,tg|jD]}|j||ƒ^q ŒS(N(RRt_entry(Rtitjtarg((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyR=scC s,ddlm}ttt||jƒƒŒS(Niÿÿÿÿ(t transpose(t$sympy.matrices.expressions.transposeR"RRRR(RR"((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyt_eval_transpose@scK s t|ƒS(N(t canonicalize(Rtignored((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyRDs( t__name__t __module__t__doc__Rtis_HadamardProductRtpropertyRRR$R(((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyR"s    cG sstd„|Dƒƒs%tdƒ‚n|d}x=|dD]1}|j|jkr:td||fƒ‚q:q:WdS(Ncs s|]}|jVqdS(N(t is_Matrix(t.0R!((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pys Hss Mix of Matrix and Scalar symbolsiis"Matrices %s and %s are not aligned(tallR RR (RtAtB((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyR Gs  cC s t|tƒS(N(t isinstanceR(tx((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pytRtN(t __future__RRt sympy.coreRRtsympy.strategiesRRRRRt"sympy.matrices.expressions.matexprR R RRR trulesR%(((sBlib/python2.7/site-packages/sympy/matrices/expressions/hadamard.pyts( %