o i@s\ddlmZddlmZddlmZddlmZddlm Z ddl m Z GdddeZ d S) )Basic)Str)Vector) CoordSys3D)_path)cacheitcsLeZdZdZejdffdd ZeddZddZ d d Z d d Z Z S) Pointz* Represents a point in 3-D space. Ncst|}t|tstdt|t|ts"|dur"tdt||dur1t|t||}n t|t|||}||_ ||_ |durNd|_ ||_ |S||_ |j |_ |S)Nz0position should be an instance of Vector, not %sz3parent_point should be an instance of Point, not %s) str isinstancer TypeErrortypersuper__new__r_name_pos_parent_root)clsnamepositionZ parent_pointobj __class__a/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/sympy/vector/point.pyrs4  z Point.__new__cCst|tst|tstt|dt|tr|j}||kr!tjS||jkr)|j S|j|kr3d|j St ||\}}tj}t |D] }|||j 7}qAt |dt |D] }|||j 8}qT|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 CoordSys3D) r rrr r originrzerorrrrangelen)selfotherZ rootindexpathresultirrr position_wrt+s*      zPoint.position_wrtcCs t|||S)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!rrrrr locate_newZs zPoint.locate_newcCs||j}t||S)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&rtupleZ to_matrix)r!Zcoordinate_systemZpos_vectrrrexpress_coordinatesvs zPoint.express_coordinatescCs|jS)N)r)r!printerrrr _sympystrszPoint._sympystr) __name__ __module__ __qualname____doc__rrrrr&r'r)r+ __classcell__rrrrr s .rN) Zsympy.core.basicrZsympy.core.symbolrZsympy.vector.vectorrZsympy.vector.coordsysrectrZsympy.vector.functionsrZsympy.core.cacherrrrrrs