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                """2D parabola."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from hyperactive.base import BaseExperiment  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class Parabola(BaseExperiment):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """2D parabola, common benchmark for optimization algorithms.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parabola parameterized by the formula:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    .. math::  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        f(x, y) = a * (x^2 + y^2) + b * x + c * y  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    where :math:`a`, :math:`b`, and :math:`c` are coefficients which can  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    be set as parameters.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    The function arguments :math:`x` and :math:`y`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    are the input variables of the `score` method,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    and are set as `x` and `y` respectively.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    a : float, default=1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Coefficient of the parabola.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    b : float, default=0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Coefficient of the parabola.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    c : float, default=0.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Coefficient of the parabola.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Example  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> from hyperactive.experiment.toy import Parabola  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> parabola = Parabola(a=1.0, b=0.0, c=0.0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> params = {"x": 1, "y": 2} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> score, add_info = parabola.score(params)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Quick call without metadata return or dictionary:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    >>> score = parabola(x=1, y=2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _tags = { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        "property:randomness": "deterministic",  # random or deterministic  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # if deterministic, two calls of score will result in the same value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # random = two calls may result in different values; same as "stochastic"  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def __init__(self, a=1.0, b=0.0, c=0.0):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.a = a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.b = b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.c = c  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        super().__init__()  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                    def _paramnames(self):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return ["x", "y"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def _score(self, params):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        x = params["x"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        y = params["y"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return self.a * (x**2 + y**2) + self.b * x + self.c * y, {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    @classmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def _get_score_params(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        """Return settings for the score function.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Returns a list, the i-th element corresponds to self.get_test_params()[i].  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        It should be a valid call for self.score.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        list of dict  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            The parameters to be used for scoring.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        params0 = {"x": 0, "y": 0} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        params1 = {"x": 1, "y": 1} | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                        return [params0, params1]  | 
            
            
                                                        
            
                                    
            
            
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