ó ¡¼™\c@sŠddlmZddlmZddlmZddlmZddlm Z ddl m Z ddl m Z defd „ƒYZd S( iÿÿÿÿ(trange(tBasic(tVector(t CoordSys3D(t_path(tSymbol(tcacheittPointcBsYeZdZejdd„Zed„ƒZd„Z d„Z dd„Z e Z e Z RS(s* Represents a point in 3-D space. cCst|ƒ}t|tƒs4tdt|ƒƒ‚nt|tƒ ri|dk ritdt|ƒƒ‚n|dkrœtt|ƒj|t |ƒ|ƒ}n'tt|ƒj|t |ƒ||ƒ}||_ ||_ |dkröd|_ ||_ n||_ |j |_ |S(Ns0position should be an instance of Vector, not %ss3parent_point should be an instance of Point, not %s(tstrt isinstanceRt TypeErrorttypeRtNonetsupert__new__Rt_namet_post_parentt_root(tclstnametpositiont parent_pointtobj((s1lib/python2.7/site-packages/sympy/vector/point.pyRs,   '        cCs%t|tƒ r9t|tƒ r9tt|ƒdƒ‚nt|tƒrT|j}n||krgtjS||jkr}|j S|j|kr—d|j St ||ƒ\}}tj}d}x%t |ƒD]}|||j 7}qÈW|d7}x1|t |ƒkr |||j 8}|d7}qðW|S(sS Returns the position vector of this Point with respect to another Point/CoordSys3D. Parameters ========== other : Point/CoordSys3D If other is a Point, the position of this Point wrt it is returned. If its an instance of CoordSyRect, the position wrt its origin is returned. Examples ======== >>> from sympy.vector import Point, CoordSys3D >>> N = CoordSys3D('N') >>> p1 = N.origin.locate_new('p1', 10 * N.i) >>> N.origin.position_wrt(p1) (-10)*N.i sis not a Point or CoordSys3Diÿÿÿÿii( R RRR RtoriginRtzeroRRRRtlen(tselftothert rootindextpathtresultti((s1lib/python2.7/site-packages/sympy/vector/point.pyt position_wrt-s,       cCst|||ƒS(sp Returns a new Point located at the given position wrt this Point. Thus, the position vector of the new Point wrt this one will be equal to the given 'position' parameter. Parameters ========== name : str Name of the new point position : Vector The position vector of the new Point wrt this one Examples ======== >>> from sympy.vector import Point, CoordSys3D >>> N = CoordSys3D('N') >>> p1 = N.origin.locate_new('p1', 10 * N.i) >>> p1.position_wrt(N.origin) 10*N.i (R(RRR((s1lib/python2.7/site-packages/sympy/vector/point.pyt locate_new_scCs%|j|jƒ}t|j|ƒƒS(sH Returns the Cartesian/rectangular coordinates of this point wrt the origin of the given CoordSys3D instance. Parameters ========== coordinate_system : CoordSys3D The coordinate system to express the coordinates of this Point in. Examples ======== >>> from sympy.vector import Point, CoordSys3D >>> N = CoordSys3D('N') >>> p1 = N.origin.locate_new('p1', 10 * N.i) >>> p2 = p1.locate_new('p2', 5 * N.j) >>> p2.express_coordinates(N) (10, 5, 0) (R!Rttuplet to_matrix(Rtcoordinate_systemtpos_vect((s1lib/python2.7/site-packages/sympy/vector/point.pytexpress_coordinates{scCs|jS(N(R(Rtprinter((s1lib/python2.7/site-packages/sympy/vector/point.pyt__str__˜sN(t__name__t __module__t__doc__RRR RRR!R"R'R)t__repr__t _sympystr(((s1lib/python2.7/site-packages/sympy/vector/point.pyR s2   N(tsympy.core.compatibilityRtsympy.core.basicRtsympy.vector.vectorRtsympy.vector.coordsysrectRtsympy.vector.functionsRtsympyRtsympy.core.cacheRR(((s1lib/python2.7/site-packages/sympy/vector/point.pyts