o oÇ h¤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|tƒstdt|ƒƒ‚t|tƒs"|dur"tdt|ƒƒ‚|dur1tƒ |t|ƒ|¡}n tƒ |t|ƒ||¡}||_ ||_ |durNd|_ ||_ |S||_ |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)ÚclsÚnameÚpositionÚ parent_pointÚobj©Ú __class__©úf/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/sympy/vector/point.pyrs4 ÿÿ ÿÿýz Point.__new__cCsÔt|tƒst|tƒstt|ƒdƒ‚t|tƒr|j}||kr!tjS||jkr)|j S|j|kr3d|j St ||ƒ\}}tj}d}t |ƒD] }|||j 7}qC|d7}|t |ƒkrh|||j 8}|d7}|t |ƒksW|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)ÚselfÚotherÚ rootindexÚpathÚresultÚirrrÚ position_wrt+s2 ÿÿ       þzPoint.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]s zPoint.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)rÚtupleÚ to_matrix)r#Úcoordinate_systemÚpos_vectrrrÚexpress_coordinatesys zPoint.express_coordinatescCs|jS)N)r)r#ÚprinterrrrÚ _sympystr–szPoint._sympystr) Ú__name__Ú __module__Ú __qualname__Ú__doc__rr rrr)r*r/r1Ú __classcell__rrrrr s 1rN) Úsympy.core.basicrÚsympy.core.symbolrÚsympy.vector.vectorrÚsympy.vector.coordsysrectrÚsympy.vector.functionsrÚsympy.core.cacherrrrrrÚs