z ijSrSSKrSSKJr SSKJr SSKrSSKJr SSK J r SSK J r "SS \5r g) z%Rotation around an axis in x-y plane.N)exp)Optional)Gate)ParameterValueType) StandardGatec^\rSrSrSr\R rSS\S\S\ \ 4U4Sjjjr Sr SS\ 4S jjrSS jrSS \S\ 4S jjrS rSrU=r$)RGateuRotation :math:`\theta` around the :math:`\cos(\phi)x + \sin(\phi)y` axis. Can be applied to a :class:`~qiskit.circuit.QuantumCircuit` with the :meth:`~qiskit.circuit.QuantumCircuit.r` method. Circuit symbol: .. code-block:: text ┌────────┐ q_0: ┤ R(θ,ϕ) ├ └────────┘ Matrix representation: .. math:: \newcommand{\rotationangle}{\frac{\theta}{2}} R(\theta, \phi) = e^{-i \rotationangle \left(\cos{\phi} x + \sin{\phi} y\right)} = \begin{pmatrix} \cos\left(\rotationangle\right) & -i e^{-i \phi} \sin\left(\rotationangle\right) \\ -i e^{i \phi} \sin\left(\rotationangle\right) & \cos\left(\rotationangle\right) \end{pmatrix} thetaphilabelc(>[TU]SSX/US9 g)z Args: theta: The rotation angle :math:`\theta`. phi: The angle specifying the rotation axis, given by :math:`\cos(\phi) x + \sin(\phi)y`. label: An optional label for the gate. r)r N)super__init__)selfr r r __class__s a/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/standard_gates/r.pyrRGate.__init__6s a%U;cSSKJn UR[RR UR 5SURS9Ulg)zDefault definitionr)QuantumCircuitT) legacy_qubitsnameN) qiskit.circuitr_from_circuit_datarR_get_definitionparamsr definition)rrs r_define RGate._defineDsA 2 );; NN * *4;; 7tRVR[R[< r annotatedcP[URS*URS5$)uInvert this gate as: :math:`R(θ, φ)^{\dagger} = R(-θ, φ)` Args: annotated: when set to ``True``, this is typically used to return an :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete :class:`.Gate`. However, for this class this argument is ignored as the inverse of this gate is always a :class:`.RGate` with an inverted parameter value. Returns: RGate: inverse gate. rr)r r )rr$s rinverse RGate.inverseQs#dkk!n_dkk!n55rcjUSLa [S5e[URS5[URS5pC[R"US- 5n[R "US- 5n[ SU-5n[ SU-5n[R"USU-U-/SU-U-U//US9$) z$Return a numpy.array for the R gate.Fz9unable to avoid copy while creating an array as requestedrryy?)dtype) ValueErrorfloatr mathcossinrnumpyarray) rr*copyr r r.r/exp_mexp_ps r __array__RGate.__array___s 5=XY Y4;;q>*E$++a.,Ashhuqy!hhuqy!C#IBH {{S#+"34sU{S7H#6NOW\]]rexponentc:URup4[X-U5$N)r r )rr7r$r r s rpower RGate.powerjs[[ X%s++rcP[U[5(aURU5$g)NF) isinstancer _compare_parameters)rothers r__eq__ RGate.__eq__ns# eU # #++E2 2r)r!r9)F)NN)__name__ __module__ __qualname____firstlineno____doc__rr_standard_gaterrstrrr"boolr&r5r,r:r@__static_attributes__ __classcell__)rs@rr r sv6"^^N $ <! <  <} < <   6 6 ^,e,,rr )rFr-cmathrtypingrr0qiskit.circuit.gater"qiskit.circuit.parameterexpressionrqiskit._accelerate.circuitrr rrrRs-,  $A3YDYr