U ˜9%e¤ã@s\ddlmZddlmZddlmZddlmZddlm Z ddl m Z Gdd„deƒZ d S) é)ÚBasic)ÚStr)ÚVector)Ú CoordSys3D)Ú_path)ÚcacheitcsLeZdZdZejdf‡fdd„ Zedd„ƒZdd„Z d d „Z d d „Z ‡Z S) ÚPointz* Represents a point in 3-D space. Ncs¬t|ƒ}t|tƒs"tdt|ƒƒ‚t|tƒsD|dk rDtdt|ƒƒ‚|dkrbtƒ |t|ƒ|¡}ntƒ |t|ƒ||¡}||_ ||_ |dkršd|_ ||_ n||_ |j |_ |S)Nz0position should be an instance of Vector, not %sz3parent_point should be an instance of Point, not %s) ÚstrÚ isinstancerÚ TypeErrorÚtyperÚsuperÚ__new__rÚ_nameÚ_posÚ_parentÚ_root)ÚclsÚnameÚpositionZ parent_pointÚobj©Ú __class__©úQ/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/sympy/vector/point.pyrs4 ÿÿ ÿÿÿz Point.__new__cCsÊt|tƒs$t|tƒs$tt|ƒdƒ‚t|tƒr4|j}||krBtjS||jkrR|j S|j|krfd|j St ||ƒ\}}tj}d}t |ƒD]}|||j 7}q†|d7}|t |ƒkrÆ|||j 8}|d7}q¢|S)aL 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 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 rrr r ÚoriginrÚzerorrrÚrangeÚlen)ÚselfÚotherZ rootindexÚpathÚresultÚirrrÚ position_wrt+s0 ÿÿ       zPoint.position_wrtcCs t|||ƒS)ai 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 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)aA 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 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_coordinatesys zPoint.express_coordinatescCs|jS)N)r)r"ÚprinterrrrÚ _sympystr–szPoint._sympystr) Ú__name__Ú __module__Ú __qualname__Ú__doc__rrrrr'r(r*r,Ú __classcell__rrrrr s 1rN) Zsympy.core.basicrZsympy.core.symbolrZsympy.vector.vectorrZsympy.vector.coordsysrectrZsympy.vector.functionsrZsympy.core.cacherrrrrrÚs