g VdZddlmZddlZddlmZmZddlm Z GddeZ dS)zExact reciprocal rotation.)iscloseN)QuantumCircuitQuantumRegister)UCRYGatec <eZdZdZ d dededededd f fd ZxZ S) ExactReciprocalzExact reciprocal .. math:: |x\rangle |0\rangle \mapsto \cos(1/x)|x\rangle|0\rangle + \sin(1/x)|x\rangle |1\rangle F1/xnum_state_qubitsscalingneg_valsnamereturnNc t|d}tdd}t|||}dg}|rd|dz znd|z} td| D]} t|| z| z ddr |t j:|| z| z dkr1|dt j|| z| z zw|d|t||d g|d t||z zd |ru|td |D |dg|d gz|d dzd dg} td| D]} t|dzd| | z z z ddr!| t j At j |dzd| | z z z dkr7| dt j|dzd| | z z z z| d|t|  |dg|d gz|d dzd tj|jd|i|||jd d S)a! Args: num_state_qubits: The number of qubits representing the value to invert. scaling: Scaling factor :math:`s` of the reciprocal function, i.e. to compute :math:`s / x`. neg_vals: Whether :math:`x` might represent negative values. In this case the first qubit is the sign, with :math:`|1\rangle` for negative and :math:`|0\rangle` for positive. For the negative case it is assumed that the remaining string represents :math:`1 - x`. This is because :math:`e^{-2 \pi i x} = e^{2 \pi i (1 - x)}` for :math:`x \in [0,1)`. name: The name of the object. .. note:: It is assumed that the binary string :math:`x` represents a number < 1. stateflag)r ggh㈵>)abs_tolrNT)inplacecg|]}| Sr).0thetas h/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/arithmetic/exact_reciprocal.py z,ExactReciprocal.__init__..Es555U5&555r )qubitsr)rrrangerappendnppiarcsincomposerlencontrolabssuper__init__qregsto_gater) selfr r r r qr_stateqr_flagcircuitanglesnli angles_neg __class__s rr)zExactReciprocal.__init__s7&##3W==!!V,, 7>>>,4 MQ#a' ( (!=M:Mq" # #Aw|a'D999 # be$$$$2!A%% a")GbL1,<"="==>>>> c"""" V  wqzlX6PH 8P6P-QQ[_       OO55f55566>>@@"'!*-" =     J1b\\ + +7b>QRZ8"dKKK+%%ruf----VGrNa!b&j9::Q>>%%a")GrNa!b&j4Q*R*R&RSSSS%%c**** OO$$,,.."'!*-" =     '-3d333 W__&&t{D IIIIIr)Fr ) __name__ __module__ __qualname____doc__intfloatboolstrr) __classcell__)r4s@rrrsZ_<J<J #<J.3<J?C<JSV<J <J<J<J<J<J<J<J<J<J<Jrr) r8mathrnumpyr!qiskit.circuitrr(qiskit.circuit.library.generalized_gatesrrrrrrBs! ::::::::======DJDJDJDJDJnDJDJDJDJDJr