ó ¡¼™\c@ s|ddlmZmZddlmZddlmZmZddlm Z ddl m Z m Z defd„ƒYZ d S( iÿÿÿÿ(tprint_functiontdivisioni(t MatrixExpr(tBasictsympify(tMatrix(tretimtFunctionMatrixcB sPeZdZd„Zed„ƒZed„ƒZd„Zd„Zd„Z RS(s" Represents a Matrix using a function (Lambda) This class is an alternative to SparseMatrix >>> from sympy import FunctionMatrix, symbols, Lambda, MatPow, Matrix >>> i, j = symbols('i,j') >>> X = FunctionMatrix(3, 3, Lambda((i, j), i + j)) >>> Matrix(X) Matrix([ [0, 1, 2], [1, 2, 3], [2, 3, 4]]) >>> Y = FunctionMatrix(1000, 1000, Lambda((i, j), i + j)) >>> isinstance(Y*Y, MatPow) # this is an expression object True >>> (Y**2)[10,10] # So this is evaluated lazily 342923500 cC s/t|ƒt|ƒ}}tj||||ƒS(N(RRt__new__(tclstrowstcolstlamda((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyR scC s|jdd!S(Nii(targs(tself((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pytshape#scC s |jdS(Ni(R(R((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyR 'scC s|j||ƒS(N(R (Rtitj((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyt_entry+scC s9ddlm}ddlm}||ƒj|ƒjƒS(Niÿÿÿÿ(tTrace(tSum(t sympy.matrices.expressions.traceRtsympyRtrewritetdoit(RRR((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyt _eval_trace.scC s"tt|ƒƒtt|ƒƒfS(N(RRR(R((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyt as_real_imag3s( t__name__t __module__t__doc__R tpropertyRR RRR(((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyRs   N(t __future__RRtmatexprRRRRtsympy.matricesRt$sympy.functions.elementary.complexesRRR(((sDlib/python2.7/site-packages/sympy/matrices/expressions/funcmatrix.pyts