ЦibSSKJr SSKJr SSKJr SSKJr SSKJ r SSK J r "SS\5r g ) )Basic)Str)Vector) CoordSys3D)_path)cacheitcj^\rSrSrSr\R S4U4Sjjr\S5r Sr Sr Sr S r U=r$) Point z" Represents a point in 3-D space. Nc>[U5n[U[5(d[S[ U5-5e[U[ 5(dUb[S[ U5-5eUc[ TU]U[U5U5nO[ TU]U[U5X#5nXl X$l UcSUl XDl U$X4l URUl U$)Nz0position should be an instance of Vector, not %sz3parent_point should be an instance of Point, not %s) str isinstancer TypeErrortyper super__new__r_name_pos_parent_root)clsnameposition parent_pointobj __class__s Q/var/www/html/ai-image-ml/venv/lib/python3.13/site-packages/sympy/vector/point.pyr Point.__new__s4y(F++BTF <//(E I""# #  '/#s4y(;C'/#s4y(IC   CKI  'K$**CI cb[U[5(d,[U[5(d[[ U5S-5e[U[5(a UR nX:Xa[ R$XR:Xa UR$URU:XaSUR-$[X5up#[ RnSn[U5HnXCUR- nM US- nU[U5:a'XCUR-nUS- nU[U5:aM'U$)a Returns the position vector of this Point with respect to another Point/CoordSys3D. Parameters ========== other : Point/CoordSys3D If other is a Point, the position of this Point wrt it is returned. If its an instance of CoordSyRect, the position wrt its origin is returned. Examples ======== >>> from sympy.vector import CoordSys3D >>> N = CoordSys3D('N') >>> p1 = N.origin.locate_new('p1', 10 * N.i) >>> N.origin.position_wrt(p1) (-10)*N.i zis not a Point or CoordSys3D) rr rrr originrzerorrrrangelen)selfother rootindexpathresultis r position_wrtPoint.position_wrt+s25%((uj11CJ:;< < eZ ( (LLE =;;  ll "99  ]]d " ? ",  y!A 1gll "F" Q#d)m 1gll "F FA#d)m rc[XU5$)a 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(rrs r locate_newPoint.locate_new]s4TT**rclURUR5n[URU55$)a Returns the Cartesian/rectangular coordinates of this point wrt the origin of the given CoordSys3D instance. Parameters ========== coordinate_system : CoordSys3D The coordinate system to express the coordinates of this Point in. Examples ======== >>> from sympy.vector import CoordSys3D >>> N = CoordSys3D('N') >>> p1 = N.origin.locate_new('p1', 10 * N.i) >>> p2 = p1.locate_new('p2', 5 * N.j) >>> p2.express_coordinates(N) (10, 5, 0) )r.r$tuple to_matrix)r(coordinate_systempos_vects rexpress_coordinatesPoint.express_coordinatesys22$$%6%=%=>X''(9:;;rcUR$)N)r)r(printers r _sympystrPoint._sympystrs zzr)__name__ __module__ __qualname____firstlineno____doc__rr%rrr.r1r8r<__static_attributes__ __classcell__)rs@rr r sA%+KKd: / /b+8<:rr N) sympy.core.basicrsympy.core.symbolrsympy.vector.vectorrsympy.vector.coordsysrectrsympy.vector.functionsrsympy.core.cacherr r>rrrLs%"!&0($NENr