ķ 9­\c@sfddlmZddlmZddlmZddlmZmZm Z defd„ƒYZ dS(i˙˙˙˙(tSymPyDeprecationWarning(tBasic(tVector(tgradientt divergencetcurltDelcBsŒeZdZdd„Zed„ZeZeje_ed„ZeZ eje _ed„Z e Z e je _dd„Z e Z e ZRS(s Represents the vector differential operator, usually represented in mathematical expressions as the 'nabla' symbol. c CsY|dk r4tddddddddƒjƒntt|ƒj|ƒ}d |_|S( Ntfeatures'delop operator inside coordinate systemt useinsteadsit as instance Del classtdeprecated_since_versions1.1tissueiB2tdelop(tNoneRtwarntsuperRt__new__t_name(tclstsystemtobj((s7lib/python2.7/site-packages/sympy/vector/deloperator.pyR s  cCst|d|ƒS(sē Returns the gradient of the given scalar field, as a Vector instance. Parameters ========== scalar_field : SymPy expression The scalar field to calculate the gradient of. doit : bool If True, the result is returned after calling .doit() on each component. Else, the returned expression contains Derivative instances Examples ======== >>> from sympy.vector import CoordSys3D, Del >>> C = CoordSys3D('C') >>> delop = Del() >>> delop.gradient(9) 0 >>> delop(C.x*C.y*C.z).doit() C.y*C.z*C.i + C.x*C.z*C.j + C.x*C.y*C.k tdoit(R(tselft scalar_fieldR((s7lib/python2.7/site-packages/sympy/vector/deloperator.pyRscCst|d|ƒS(s Represents the dot product between this operator and a given vector - equal to the divergence of the vector field. Parameters ========== vect : Vector The vector whose divergence is to be calculated. doit : bool If True, the result is returned after calling .doit() on each component. Else, the returned expression contains Derivative instances Examples ======== >>> from sympy.vector import CoordSys3D, Del >>> delop = Del() >>> C = CoordSys3D('C') >>> delop.dot(C.x*C.i) Derivative(C.x, C.x) >>> v = C.x*C.y*C.z * (C.i + C.j + C.k) >>> (delop & v).doit() C.x*C.y + C.x*C.z + C.y*C.z R(R(RtvectR((s7lib/python2.7/site-packages/sympy/vector/deloperator.pytdot;scCst|d|ƒS(s4 Represents the cross product between this operator and a given vector - equal to the curl of the vector field. Parameters ========== vect : Vector The vector whose curl is to be calculated. doit : bool If True, the result is returned after calling .doit() on each component. Else, the returned expression contains Derivative instances Examples ======== >>> from sympy.vector import CoordSys3D, Del >>> C = CoordSys3D('C') >>> delop = Del() >>> v = C.x*C.y*C.z * (C.i + C.j + C.k) >>> delop.cross(v, doit = True) (-C.x*C.y + C.x*C.z)*C.i + (C.x*C.y - C.y*C.z)*C.j + (-C.x*C.z + C.y*C.z)*C.k >>> (delop ^ C.i).doit() 0 R(R(RRR((s7lib/python2.7/site-packages/sympy/vector/deloperator.pytcross]scCs|jS(N(R(Rtprinter((s7lib/python2.7/site-packages/sympy/vector/deloperator.pyt__str__sN(t__name__t __module__t__doc__R RtFalseRt__call__Rt__and__Rt__xor__Rt__repr__t _sympystr(((s7lib/python2.7/site-packages/sympy/vector/deloperator.pyRs     !  N( tsympy.utilities.exceptionsRt sympy.coreRtsympy.vector.vectorRtsympy.vector.operatorsRRRR(((s7lib/python2.7/site-packages/sympy/vector/deloperator.pyts