B ™‘[Tã@shddlmZddlmZddlmZddlmZddlm Z ddl m Z ddl m Z Gdd „d eƒZd S) é)Úrange)ÚBasic)ÚVector)Ú CoordSys3D)Ú_path)ÚSymbol)ÚcacheitcsVeZdZdZejdf‡fdd„ Zedd„ƒZdd„Z d d „Z d d d „Z e Z e Z ‡ZS)ÚPointz* Represents a point in 3-D space. Ncs´t|ƒ}t|tƒs"tdt|ƒƒ‚t|tƒsD|dk rDtdt|ƒƒ‚|dkrftt|ƒ |t|ƒ|¡}ntt|ƒ |t|ƒ||¡}||_ ||_ |dkr¢d|_ ||_ n||_ |j |_ |S)Nz0position should be an instance of Vector, not %sz3parent_point should be an instance of Point, not %s) ÚstrÚ isinstancerÚ TypeErrorÚtyper ÚsuperÚ__new__rÚ_nameÚ_posÚ_parentZ_root)ÚclsÚnameÚpositionZ parent_pointÚobj)Ú __class__©ú1lib/python3.7/site-packages/sympy/vector/point.pyrs,    z Point.__new__cCsÒt|tƒs$t|tƒs$tt|ƒdƒ‚t|tƒr4|j}||krBtjS||jkrR|j S|j|krfd|j St ||ƒ\}}tj}d}xt |ƒD]}|||j 7}qˆW|d7}x&|t |ƒkrÌ|||j 8}|d7}q¨W|S)aS 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 zis not a Point or CoordSys3Déÿÿÿÿéé) r r rr r ÚoriginrÚzerorrrrÚlen)ÚselfÚotherZ rootindexÚpathÚresultÚirrrÚ position_wrt-s,       zPoint.position_wrtcCs t|||ƒS)ap 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 )r rrrrrÚ locate_new_szPoint.locate_newcCs| |j¡}t| |¡ƒS)aH 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%rÚtupleZ to_matrix)r Zcoordinate_systemZpos_vectrrrÚexpress_coordinates{s zPoint.express_coordinatescCs|jS)N)r)r ZprinterrrrÚ__str__˜sz Point.__str__)N)Ú__name__Ú __module__Ú __qualname__Ú__doc__rrrrr%r&r(r)Ú__repr__Z _sympystrÚ __classcell__rr)rrr s 2 r N)Zsympy.core.compatibilityrZsympy.core.basicrZsympy.vector.vectorrZsympy.vector.coordsysrectrZsympy.vector.functionsrZsympyrZsympy.core.cacherr rrrrÚs