o o h@sddlmZddlmZddlmZddlmZmZm Z gdZ Gdddeeddd gZ Gd d d e Z Gd d d e Z ddZddZdS))ABC) namedtuple)BodyBase)VectorReferenceFramePoint)LoadBaseForceTorquec@s(eZdZdZddZddZeZeZdS)rz2Abstract base class for the various loading types.cCtd|jjd|jjd)Nz$unsupported operand type(s) for +: '' and '' TypeError __class____name__selfotherrq/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/sympy/physics/mechanics/loads.py__add__  zLoadBase.__add__cCr )Nz$unsupported operand type(s) for *: 'r r rrrrr__mul__rzLoadBase.__mul__N)r __module__ __qualname____doc__rr__radd____rmul__rrrrr s rlocationvectorc@eZdZdZfddZddZeddZedd ZZ S) r a+Force acting upon a point. Explanation =========== A force is a vector that is bound to a line of action. This class stores both a point, which lies on the line of action, and the vector. A tuple can also be used, with the location as the first entry and the vector as second entry. Examples ======== A force of magnitude 2 along N.x acting on a point Po can be created as follows: >>> from sympy.physics.mechanics import Point, ReferenceFrame, Force >>> N = ReferenceFrame('N') >>> Po = Point('Po') >>> Force(Po, 2 * N.x) (Po, 2*N.x) If a body is supplied, then the center of mass of that body is used. >>> from sympy.physics.mechanics import Particle >>> P = Particle('P', point=Po) >>> Force(P, 2 * N.x) (Po, 2*N.x) cDt|tr|j}t|tstdt|tstdt|||S)Nz!Force location should be a Point.z Force vector should be a Vector.) isinstancer masscenterrrrsuper__new__)clspointforcerrrr&:   z Force.__new__cC|jjd|jd|jdS)Nz(point=z, force=))rrr(r)rrrr__repr__CzForce.__repr__cC|jSNrr.rrrr(Gz Force.pointcCr1r2r r.rrrr)Kr4z Force.force) rrrrr&r/propertyr(r) __classcell__rrr*rr s   r cr!) r aTorque acting upon a frame. Explanation =========== A torque is a free vector that is acting on a reference frame, which is associated with a rigid body. This class stores both the frame and the vector. A tuple can also be used, with the location as the first item and the vector as second item. Examples ======== A torque of magnitude 2 about N.x acting on a frame N can be created as follows: >>> from sympy.physics.mechanics import ReferenceFrame, Torque >>> N = ReferenceFrame('N') >>> Torque(N, 2 * N.x) (N, 2*N.x) If a body is supplied, then the frame fixed to that body is used. >>> from sympy.physics.mechanics import RigidBody >>> rb = RigidBody('rb', frame=N) >>> Torque(rb, 2 * N.x) (N, 2*N.x) cr")Nz+Torque location should be a ReferenceFrame.z!Torque vector should be a Vector.)r#rframerrrr%r&)r'r8torquer*rrr&or+zTorque.__new__cCr,)Nz(frame=z , torque=r-)rrr8r9r.rrrr/xr0zTorque.__repr__cCr1r2r3r.rrrr8|r4z Torque.framecCr1r2r5r.rrrr9r4z Torque.torque) rrrrr&r/r6r8r9r7rrr*rr Ps   r cGsFg}|D]}t|tstt|d|t|j|j|q|S)a Returns a list of gravity forces given the acceleration due to gravity and any number of particles or rigidbodies. Example ======= >>> from sympy.physics.mechanics import ReferenceFrame, Particle, RigidBody >>> from sympy.physics.mechanics.loads import gravity >>> from sympy import symbols >>> N = ReferenceFrame('N') >>> g = symbols('g') >>> P = Particle('P') >>> B = RigidBody('B') >>> gravity(g*N.y, P, B) [(P_masscenter, P_mass*g*N.y), (B_masscenter, B_mass*g*N.y)] z is not a body type)r#rrtypeappendr r$mass) accelerationbodies gravity_forcebodyrrrgravitys  rAcCst|tr|St|trDt|dkrtd|dt|dtr*t|d|dSt|dtr:t|d|dStd|ddt dt |d ) zBHelper function to parse loads and convert tuples to load objects.zLoad z should have a length of 2.rz'Load not recognized. The load location z. should either be a Point or a ReferenceFrame.z Load type zA not recognized as a load. It should be a Force, Torque or tuple.) r#rtuplelen ValueErrorrr rr rr:)loadrrr _parse_loads   rHN)abcr collectionsr!sympy.physics.mechanics.body_basersympy.physics.vectorrrr__all__rr r rArHrrrrs  65